The green parallelogram is a dilation of the black parallelogram. What is the scale factor of the dilation?



A) 1/3



B) 1/2



C) 2

Answers

Answer 1

Your answer will depend on the measurements you obtain from the parallelograms.

To determine the scale factor of the dilation between the green parallelogram and the black parallelogram, follow these steps:
1. Choose corresponding sides of both parallelograms (e.g., the base or the height).
2. Measure the length of the chosen side in the green parallelogram and the same side in the black parallelogram.
3. Divide the length of the side in the green parallelogram by the length of the corresponding side in the black parallelogram.
The result will be the scale factor of the dilation. Compare the result with the given options:
A) 1/3
B) 1/2
C) 2
Your answer will depend on the measurements you obtain from the parallelograms.

Learn more about dilation here, https://brainly.com/question/3457976

#SPJ11


Related Questions

When you get home from school, there is 7/8 of a pizza left. You eat 1/2 of it. How much pizza is left over?

Answers

Answer: 3/8

Step-by-step explanation:

7/8-1/2

Find common denominator which is 8 and you get that from 1/2 by multiplying 4 on the top and bottom and so you wind up with 4/8 and 7/8-4/8 is 3/8

3/8 or 7/4 I’m not really sure but hope this helped a little bit

Use the random list of 100 numbers below and the assignations 0-4 to represent girls and 5-9 to represent boys to answer the question. Determine how many groups contain at least three girls and use the information to answer the questions below.
The example's random list had 25 groups containing three girls, a probability of 25 %. The amount of groups of this random list is (more or less than) ______ the example's random list. The probability of the this random list is therefore (lower or higher then) ________ the example's random list.

Answers

The probability of this random list is therefore the same as the example's random list, which is 25%.

What is the probability?

To determine the number of groups containing at least three girls, we need to count the number of groups where there are at least 3 numbers between 0 and 4.

We can do this by counting the number of groups that have 0, 1, or 2 numbers between 0 and 4, and subtracting this from the total number of groups:

Number of groups with 0, 1, or 2 numbers between 0 and 4:

Number of groups with 0 numbers between 0 and 4 = 6 choose 0 * 94 choose 4 = 5,414,200

Number of groups with 1 number between 0 and 4 = 6 choose 1 * 94 choose 3 = 291,301,200

Number of groups with 2 numbers between 0 and 4 = 6 choose 2 * 94 choose 2 = 5,111,640

Total number of groups = 100 choose 5 = 75,287,520

Number of groups with at least 3 numbers between 0 and 4:

= Total number of groups - Number of groups with 0, 1, or 2 numbers between 0 and 4

= 75,287,520 - (5,414,200 + 291,301,200 + 5,111,640)

= 64,460,480

The amount of groups of this random list is the same as the example's random list (both have 100 groups).

Learn more bout probability at: https://brainly.com/question/251701

#SPJ1

please help me on this question

Answers

Based on the data, we can infer that Kallie needs 6 teaspoons of water conditioner for the 12 fish tanks.

How to calculate how many teaspoons of water conditioner Kallie needs?

To calculate how many teaspoons of water conditioner we must take into account the information on the capacity of each tank:

Each tank is equivalent to 20 quarts, that is, 5 gallons.There are 12 tanks in total.For every 10 gallons, you need 1 teaspoon of water conditioner.

In accordance with the above, we do the following logical procedure.

We multiply the capacity of each tank by the number of tanks.

5 * 12 = 60

So we need 60 gallons of water to fill the tanks, and we divide by 10 to find how many teaspoons we need to fill all 12 tanks.

60 / 10 = 6

Based on the above, we need 6 teaspoons to condition the water in the 12 tanks.

Learn more about teaspoons in: https://brainly.com/question/25928464

#SPJ1

Anita has saved $43. 75 of the $112. 50 that she needs for a new snowboard.


She saves $13. 75 from her paper route each week. The equation


13. 75w + 43. 75 = 112. 50 can be used to represent the number of weeks


it will take her to reach her goal. In how many more weeks will Anita have


saved enough money for the snowboard?

Answers

Anita will take 5 more weeks to save enough money for the snowboard. when she saved $43. 75 of the $112. 50 that she needs for a new snowboard.

Given data :

Total money needs for a new snowboard = $112. 50

Anita saved money = $43. 75

Money saved each week = $13. 75

From the given data we can write the equation to find the number of weeks  as,

13. 75w + 43. 75 = 112. 50

By solving the equation 13.75w + 43.75 = 112.50 we can find out how many more weeks it will take Anita to save enough money for the snowboard by using the elimination method.

Subtracting 43.75 from both sides of the equation, we get:

13.75w + 43.75 - 43.75 = 112.50 - 43.75

13.75w = 68.75

w = 68.75 / 13.75

w = 5

Therefore, Anita will take 5 more weeks to save enough money for the snowboard.

To learn more about the elimination method:

https://brainly.com/question/28405823

#SPJ4

What is the area of a regular hexagon with side length of 12. 7 and apothem length of 11?


PLEASE HELP!

Answers

The area of the regular hexagon with a side length of 12.7 and apothem length of 11 is approximately 416.61 square units.

To find the area of a regular hexagon, you can use the formula , where A is the [tex]A =\frac{3\sqrt{3} }{2} (s^{2} )[/tex]area, s is the length of one side, and √3 is the square root of 3.

However, since the apothem length is given, you can also use the formula , where ap is the apothem length and p is the perimeter of the hexagon.

First, let's find the perimeter of the hexagon. Since a hexagon has six sides, the perimeter will be 6 x 12.7 = 76.2.

Next, we can use the apothem length of 11 and the side length of 12.7 to find the length of the radius of the circle inscribed in the hexagon. This is because the apothem is the distance from the center of the hexagon to the midpoint of any side, and the radius is the distance from the center to any vertex.

Using the Pythagorean theorem, we can find the radius:
[tex]r^2 = ap^2 + (\frac{s}{2} )^{2}[/tex]
[tex]r^2 = 11^2 + (\frac{12.2}{7} )^{2}[/tex]
[tex]r^2 = 121 + 40.1225[/tex]
[tex]r^2 = 161.1225[/tex]
[tex]r = \sqrt{161.1225}[/tex]
[tex]r = 12.69[/tex]

Now that we know the radius, we can use the formula for the area of a regular polygon in terms of the radius: A = (1/2) x r x ap x n, where n is the number of sides (which is 6 for a hexagon).

Plugging in the values we have:
[tex]A = \frac{1}{2} (12.69)(11)(6)[/tex]
[tex]A = 416.61[/tex]

Therefore, the area of the regular hexagon with a side length of 12.7 and apothem length of 11 is approximately 416.61 square units.

To know more about "Hexagon" refer here:

https://brainly.com/question/29762907#

#SPJ11

show work/steps please
Find the Taylor series for f centered at 6 if f(n) (6) = (-1)"n! 4"(n + 2) Σ n = 0 What is the radius of convergence R of the Taylor series? R = = X

Answers

The Taylor series for f centered at 9, given f^(n)(9) = (-1)^n n!/6^n (n + 2), is f(x) = f(9) - (x-9)/2 + (x-9)^2/12 - (x-9)^3/432 + (x-9)^4/10368 - ... .

To find the Taylor series for f centered at 9, we need to use the formula

f(x) = f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ...

where f'(x) represents the first derivative of f(x) with respect to x, f''(x) represents the second derivative of f(x) with respect to x, and so on.

In this case, we are given the nth derivative of f(x) evaluated at x = 9, so we can plug in the values and simplify the formula

f(9) = f(9) (since we're centering the series at 9)

f'(9) = (-1)^1 (1!/6^1)(1 + 2) = -1/2

f''(9) = (-1)^2 (2!/6^2)(2 + 2) = 1/6

f'''(9) = (-1)^3 (3!/6^3)(3 + 2) = -1/36

f''''(9) = (-1)^4 (4!/6^4)(4 + 2) = 1/216

and so on. So the Taylor series for f centered at 9 is

f(x) = f(9) - (x-9)/2 + (x-9)^2/2! * 1/6 - (x-9)^3/3! * 1/36 + (x-9)^4/4! * 1/216 - ...

or, simplifying the coefficients

f(x) = f(9) - (x-9)/2 + (x-9)^2/12 - (x-9)^3/432 + (x-9)^4/10368 - ...

This is the Taylor series for f centered at 9, based on the given information.

Learn more about Taylor series here

brainly.com/question/28158012

#SPJ4

The given question is incomplete, the complete question is:

Find the Taylor series for f centered at 9 if f^(n)(9) = (-1)^n n!/6^n (n + 2)

A right rectangular prism has a length of 1 foot, a width of 1 3/8 feet, and a height of 5/8 foot. unit cubes with side lengths of 1/8 foot are added to completely fill the prism with no space remaining. how many cubes can fit inside the prism? explain how to find the number by using the volume formula. explain how to find the number by using the side lengths of the prism and the cubes.

Answers

The number of cubes of dimensions of [tex]\frac{1}{8}[/tex] foot that can fit into a rectangular prism of a length of 1 foot, a width of 1 [tex]\frac{3}{8}[/tex] foot, and a height of [tex]\frac{5}{8}[/tex] foot is 55.

Volume of cuboid = l * b * h

where l is the length

b is the breadth

h is the height

l = 1 foot

b = 1 [tex]\frac{3}{8}[/tex] foot = [tex]\frac{11}{8}[/tex] foot

h = [tex]\frac{5}{8}[/tex] foot

Volume of cuboid = 1 * [tex]\frac{11}{8}[/tex] * [tex]\frac{5}{8}[/tex]

= [tex]\frac{55}{64}[/tex] cubic foot

Volume of cube = [tex]s^3[/tex]

where s is the side

s = [tex]\frac{1}{8}[/tex] foot

Volume = [tex]\frac{1}{8}^3[/tex]

= [tex]\frac{1}{64}[/tex] cubic foot

Number of cubes = [tex]\frac{\frac{55}{64} }{\frac{1}{64} }[/tex]

= 55

The number of cubes that fit into the prism is 55.

Learn more about Cubiod:

https://brainly.com/question/29568631

#SPJ4

Find the area of the polygon

ASAP PLEASE HELP!!!!

20PTS

Answers

Hello!

This shape is a "Strange" shape, but if you look closer at it, you can see that it can be divided into "normal shapes" like rectangles and squares

On the bottom on the "polygon" we can dived it into 2 squares

One square would have the dimensions of 6 and 6

The other one would have 4 and 6

The formula of area is: Base*Height

So the first square would have an area of 36

The second square would have an area of 24

Now we solve for the big rectangle

On first thought, it may seem like the dimensions are 16 and 25, but it is actually 10 and 25. Because 16 is the whole height of the polygon.

So we subtract it by 6

So the big rectangle is 250

=================

Now we add the areas together to get a total result of 310

If you have questions, feel free to ask

I need help ASAP (will give brainliest)

Answers

Answer:

92°

Step-by-step explanation:

All angles should add up to 360°

Opposite angles are equal so that means two angles are 88°

88+88=176

360 - 176 = 184

184 / 2 = 95

Measure of angle A is 92°

92
180-88=92
Am not good at explaining

for each of these relations on the set {1,2,3,4}, decide whether it is reflexive, whether it is symmetric, and whether it is transitive. Which of these relations are equivalence relations?(a) {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}. (b) {(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)}. (c) {(2,4),(4,2)}.

Answers

The relation is not an equivalence relation. (a) {(2,2),(2,3),(2,4),(3,2),(3,3),(3,4)}:

Reflexive: (2,2), (3,3) are present, but (1,1) and (4,4) are not present. Hence, not reflexive.

Symmetric: (2,3) is present, but (3,2) is also present. Hence, not symmetric.

Transitive: No counterexample to transitivity exists. Hence, it is transitive.

Therefore, the relation is not an equivalence relation.

(b) {(1,1),(1,2),(2,1),(2,2),(3,3),(4,4)}:

Reflexive: (1,1), (2,2), (3,3), (4,4) are present. Hence, reflexive.

Symmetric: (1,2) is present, but (2,1) is also present. Hence, symmetric.

Transitive: No counterexample to transitivity exists. Hence, it is transitive.

Therefore, the relation is an equivalence relation.

(c) {(2,4),(4,2)}:

Reflexive: (2,2) and (4,4) are not present. Hence, not reflexive.

Symmetric: (2,4) is present, but (4,2) is not present. Hence, not symmetric.

Transitive: No counterexample to transitivity exists. Hence, it is transitive.

Therefore, the relation is not an equivalence relation.

Learn more about equivalence relation

https://brainly.com/question/14307463

#SPJ4

please help me with this Pythagoras theorum

Answers

Step-by-step explanation:

18 m = hypotenuse = c

5 m = b

a² + b² = c²

a² + (5)² = (18)²

a² + 25 = 324

a² = 324 - 25

a² = 299

a = √299

a = 17.29 or 17.3 m

perimeter = a + b + c

= 17.3 + 18 + 5

= 40.3 m

#CMIIW

There are 100 dears within a circular area with a radius of 10. Find the density of deer for 400 square miles.

Answers

The density of deer for 400 square miles is around 1:4 based on stated number of deers.

The density of deer will be given by the formula -

Population density of deer = number of deer/ area

Population density is the amount or number of individuals of a population on land per unit area.

Keep the value in formula to find the population density

Population density = 100/400

Cancelling zero as common in both numerator and denominator

Population density = 1:4

Thus, there is 1 deer for every 4 square mile.

Learn more about density -

https://brainly.com/question/13902749

#SPJ4

Problem


Yoshi is a basketball player who likes to practice by attempting the same three-point shot until he makes the shot. His past performance indicates that he has a


30


%


30%30, percent chance of making one of these shots. Let


X


XX represent the number of attempts it takes Yoshi to make the shot, and assume the results of each attempt are independent.


Is


X


XX a binomial variable? Why or why not?


Choose 1 answer:


Choose 1 answer:



(Choice A)


A


Each trial isn't being classified as a success or failure, so


X


XX is not a binomial variable.



(Choice B)


B


There is no fixed number of trials, so


X


XX is not a binomial variable.



(Choice C)


C


The trials are not independent, so


X


XX is not a binomial variable.



(Choice D)


D


This situation satisfies each of the conditions for a binomial variable, so


X


XX has a binomial distribution

Answers

There is no fixed number of trials, so X is not a binomial variable. (Choice B) B is the right response.

Discrete random variables are within the category of binomial random variables. A binomial random variable keeps track of how frequently an event occurs over a predetermined number of trials. ALL of the following prerequisites have to be satisfied for a variable to qualify as a binomial random variable:

A predetermined sample size (number of trials) is used.

The relevant occurrence either takes place or doesn't in every trial.

On each trial, the likelihood of occurrence (or not) is the same.

Trials run separately from one another.

While Yoshi has a 30% chance of success for each shot and the trials are independent, the number of attempts is not fixed, as he continues until he makes the shot.

Thus, the correct answer is (Choice B) B. There is no fixed number of trials, so X is not a binomial variable.

Learn more about "binomial variable": https://brainly.com/question/15246027

#SPJ11

The path r(t)=(t) i+(3t2+5) j describes motion on the parabola y=3x2+5. Find the particles velocity and acceleration vectors at t=5

Answers

The particle's velocity vector at t=5 is v(5) = 1i + 30j, and the acceleration vector at t=5 is a(5) = 0i + 6j.

To find the particle's velocity, we take the derivative of the path r(t) with respect to time:

v(t) = r'(t) = i + 6t j

Substituting t=5, we get:

v(5) = 1i + 30j

To find the particle's acceleration, we take the derivative of the velocity with respect to time:

a(t) = v'(t) = 0i + 6j

Substituting t=5, we get:

a(5) = 0i + 6j

Note that the acceleration vector is constant, which is expected since the particle is moving along a parabolic path, and the curvature of the path remains constant.

To know more about velocity vector, refer here:
https://brainly.com/question/13492374#

#SPJ11

please help with this photo problem
and describe the resulting transformation

Answers

The option that represents the resulting transformation is: Option C

How to find the reflection over a line?

A reflection over line is defined as a transformation in which each point of the original figure which is also called the pre-image possesses an image that is the essentially the same distance from the reflection line as the original point, but then is on the opposite side of the line. In a reflection, the image is the same size and shape as the pre-image.

Now, looking at the letter Q, when we reflect it once, it should be the mirror image but when reflect it the second time about same line, it becomes exactly the original copy.

Thus, we can conclude that Option C represents the resulting transformation.

Read more about Reflection over a line at: https://brainly.com/question/26642069

#SPJ1

1) Last year a computer cost $1,600 to purchase. A year later the same computer cost $1,850 to purchase. By what percent did the cost of the computer increase? (please show your work)
2)A flock of 50 geese landed at a pond. Later that day there were 75 in the pond. By what percent did the number of geese increase?

a
80%
b
50%
c
2%
d
10%

Answers

Answer:

1) 15.625% increase. 1850-1600=250. 250/1600=0.15625. 0.15625x100= 15.625.

2) 50%

Step-by-step explanation:

1) 1850-1600=250. 250/1600=0.15625. 0.15625x100= 15.625.

2) 75-50=25. 25/50=0.5. 0.5x100=50

In Triangle JKL, ∠J is congruent to ∠L.

Answers

The measure of ∠L in Triangle JKL is 56.1 degrees.

What is the measures in triangles?

In geometry, the measures in triangles refer to the angles and sides within a triangle. Triangles are three-sided polygons, and the measures of their angles and sides are important properties that determine their shape and characteristics.

In a triangle, the sum of the measures of all three angles is always 180 degrees. Therefore, to find the measure of ∠L in Triangle JKL, we can use the information given:

∠J is congruent to ∠L, which means they have the same measure.

∠K is given as 67.8 degrees.

Since ∠J is congruent to ∠L, we can denote their measure as "x".

So, the sum of the measures of ∠J, ∠K, and ∠L is 180 degrees:

∠J + ∠K + ∠L = 180

Substituting the given values:

x + 67.8 + x = 180

Simplifying the equation:

2x + 67.8 = 180

Subtracting 67.8 from both sides:

2x = 180 - 67.8

2x = 112.2

Dividing both sides by 2:

x = 112.2 / 2

x = 56.1

Hence, the measure of ∠L in Triangle JKL is 56.1 degrees.

To learn more about measures in triangles, Visit

brainly.com/question/25215131

#SPJ1

Find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes and the plane x + 1/7y + 1/6z = 1. (Use symbolic notation and fractions where needed.) the maximum volume of the box: ...

Answers

The maximum volume of the box is 5/49, which occurs at vertex 3.

How to find the maximum volume of a box inscribed in the tetrahedron bounded by the coordinate planes?

Let the length, width, and height of the box be x, y, and z respectively. Then the volume of the box is given by V = xyz.

The tetrahedron is bounded by the coordinate planes and the plane x + 1/7y + 1/6z = 1. We can find the vertices of the tetrahedron as follows:

(0, 0, 0)

(7, 0, 0)

(0, 6, 0)

(0, 0, 6)

We can see that the maximum values of x, y, and z occur at different vertices of the tetrahedron.

Therefore, we need to find the coordinates of the vertices of the box at each vertex of the tetrahedron.

At vertex 1, we have x = 0, y = 0, and z = 0. The distance from this vertex to the plane is 1, so the maximum value of x is 1.

Therefore, we set x = 1 and solve for y and z:

1 + 1/7y + 1/6z = 1

y = 0

z = 0

At vertex 2, we have x = 7, y = 0, and z = 0. The distance from this vertex to the plane is 6/7, so the maximum value of y is 6/7.

Therefore, we set y = 6/7 and solve for x and z:

x + 1/7(6/7) + 1/6z = 1

x = 5/6

z = 1/7

At vertex 3, we have x = 0, y = 6, and z = 0. The distance from this vertex to the plane is 5/6, so the maximum value of z is 5/6.

Therefore, we set z = 5/6 and solve for x and y:

x + 1/7y + 1/6(5/6) = 1

x = 4/7

y = 3/7

At vertex 4, we have x = 0, y = 0, and z = 6. The distance from this vertex to the plane is 1/7, so the maximum value of x is 7.

Therefore, we set x = 7 and solve for y and z:

7 + 1/7y + 1/6(6) = 1

y = -42/7

z = 1/6

Now we can calculate the volume of the box at each vertex of the tetrahedron:

V1 = 1(0)(0) = 0

V2 = 5/6(6/7)(1/7) = 5/294

V3 = 4/7(3/7)(5/6) = 5/49

V4 = 7(-42/7)(1/6) = -49/6

Therefore, the maximum volume of the box is 5/49, which occurs at vertex 3.

Learn more about volume of a box

brainly.com/question/23952628

#SPJ11

Plsss help
The following two-way frequency table displays the number of adults and children attending a sporting event.


Sporting Event Attendance


Males Females Total

Adults 804 641 1,445

Children 431 268 699

Total 1,235 909. 2,144


What percentage of males attending the sporting event are adults?

A.

55. 64%

B.

65. 1%

C.

37. 5%

D.

34. 9%

Answers

The percentage of males attending the sporting events that are adults is:

65.10%.

How to obtain the percentage?

A percentage is one example of a proportion, as it is obtained by the number of desired outcomes divided by the number of total outcomes, and then multiplied by 100%.

The number of males attending sporting events is given as follows:

1235.

Of those 1235 males, 804 are adults, hence the percentage of males attending the sporting events that are adults is given as follows:

p = 804/1235 x 100%

p = 65.10%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

HELP ME PLEASE AND YOU GET BRAINLIEST PLEASE HELP ME FAST

Answers

Answer:

48

Step-by-step explanation:

can be divided into two 4x6 rectangles. Therefore, the area is 4x6 + 4x6 = 48

A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500 likel voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in proportions of likely voters who would vote for this candidate was (-0. 014, 0. 064). What was the difference (pre- debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate? ​

Answers

The difference in the sample proportions of likely voters who said they will vote for this candidate is 0.025.

The range of the 95% confidence interval for the actual difference between the proportions of probable voters who would support this candidate before and after the debate was (-0.014, 0.064). To find the difference (pre-debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate, we need to find the midpoint of the confidence interval, which is the point estimate of the true difference.

In the given question, the interval is (-0.014, 0.064), then the expression for the likely difference is

(0.064 + (-0.014))/2 = 0.050/2

= 0.025

Hence, the difference in the sample proportions of likely voters who said they will vote for this candidate is 0.025.

Learn more about confidence intervals here

brainly.com/question/25890103

#SPJ4

Alyssa makes $200 for every 8 hour shift she works as a personal trainer. She graphs the amount of money she earns on the y-axis, and number of hours she works the x-axis. What is the slope of the graph?

Answers

The slope of this graph is equal to 25.

How to calculate the slope of a line?

In Mathematics and Geometry, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided above, we can reasonably infer and logically deduce that Alyssa made $200 for every 8 hour shift she works as a personal trainer. Additionally, the amount of money Alyssa earned would be plotted on the y-axis while the number of hours she work would be plotted on the x-axis of a graph;

Slope (m) = 200/8

Slope (m) = 25.

Read more on slope here: brainly.com/question/3493733

#SPJ1

A triangle shaped table top with an area of 324 square inches has a base of 8x+4 inches and a height of 4x+2 inches. Given the area of a triangle is half of its base times height, what is a reasonable value of x in this situation?

Answers

If the area of a triangle is half of its base times height then the reasonable value of x is = 4.

A triangle-shaped table top with an area of 324 square inches has a base of 8x+4 inches and a height of 4x+2 inches. Given that the area of a triangle is half of its base times height, we can use the formula:

Area = (1/2) * base * height

Plug in the given values:

324 = (1/2) * (8x + 4) * (4x + 2)

Now, we need to solve for x. Follow these steps:

1. Multiply both sides of the equation by 2 to get rid of the fraction:

2 * 324 = (8x + 4) * (4x + 2)

2. Simplify the equation:

648 = (8x + 4) * (4x + 2)

3. Expand the equation by multiplying the terms in the parentheses:

648 = 32x^2 + 16x + 16x + 8

4. Combine like terms:

648 = 32x^2 + 32x + 8

5. Move all terms to one side of the equation to set it equal to zero:

32x^2 + 32x - 640 = 0

Now, we need to find a reasonable value of x. You can solve this quadratic equation using factoring, the quadratic formula, or a graphing calculator. Using a graphing calculator, we find that x is approximately 4.

Therefore, a reasonable value of x in this situation is 4.

Learn more about Triangle:

https://brainly.com/question/1058720

#SPJ11


the girl lifts a painting to a height of 0.5 m in 0.75 seconds. how much
power does she use? *

Answers

Power is the rate at which work is done or energy is transferred. In this case, the girl used a force of 98 N to lift the painting to a height of 0.5 m in 0.75 seconds, resulting in 49 J of work done. The power used was calculated to be approximately 65.33 watts.

To calculate the power used by the girl while lifting the painting, we need to use the formula: Power (P) = Work (W) / time (t).

Firstly, we need to calculate the work done by the girl in lifting the painting. Work is defined as the product of force and distance. As there is no information about the force applied, we will assume that the girl lifted the painting with a constant force. Therefore, the work done can be calculated as:

Work (W) = force x distance

Here, the distance is 0.5 m, and we can use the formula for weight to calculate the force required to lift the painting. As we know that the mass of the painting is not given, we can assume it to be 10 kg (a medium-sized painting).

Weight (Wt) = mass x acceleration due to gravity
Wt = 10 kg x 9.8 m/s² = 98 N

Therefore, the work done by the girl is:

W = 98 N x 0.5 m = 49 J

Now, we can use the formula for power to calculate the power used by the girl.

P = W / t
P = 49 J / 0.75 s
P = 65.33 W (approx.)

Therefore, the girl used approximately 65.33 watts of power while lifting the painting.

You can learn more about Power at: brainly.com/question/30697721

#SPJ11

The girl used 65.3 watts of power to lift the painting.

How to find power?

To calculate power, we need to know the work done and the time taken.

We can use the formula:

power = work/time

The work done is equal to the force applied multiplied by the distance moved. Since we don't know the force, we can use the formula for work in terms of mass, gravity, and height:

work = mgh

where m is the mass, g is the acceleration due to gravity, and h is the height lifted.

Assuming the painting has a mass of 10 kg and the acceleration due to gravity is 9.8 m/s², the work done is:

work = (10 kg) x (9.8 m/s²) x (0.5 m) = 49 J

The time taken is 0.75 seconds.

So the power used is:

power = work/time = 49 J / 0.75 s = 65.3 watts

Therefore, the girl used 65.3 watts of power to lift the painting.

Learn more about power

brainly.com/question/23731425

#SPJ11

1.


(03. 01 MC)


Part A: Find the LCM of 8 and 9. Show your work. (3 points)



Part B: Find the GCF of 35 and 63. Show your work. (3 points)



Part C: Using the GCF you found in Part B, rewrite 35 + 63 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)

Answers

The LCM of 8 and 9 is 72. The GCF of 35 and 63 is 7.35 + 63 can also be written as 7 X 14.

Part A

Here we have been given 2 numbers 8 and 9. We need to find the LCM. LCM is the Lowest Common Multiple. It is the smallest number which can be divided by all the mentioned number. To take the LCM of 8 and 9 we first will factorize them

8 = 2 X 2 X 2

9 = 3 X 3

Here we see that 8 and 9 do not have any common factor. Hence we need to simply multiply them together to get

8 X 9 = 72

Part B.

We need to find GCF of 35 and 63. GCF or the Greatest common factor is the highest number that can divide all the given numbers. Here too we will first factorize 35 and 63.

35 = 5 X 7

63 = 3 X 3 X 7

Here we see that between the numbers, 7 is the only common factor

Hence, 7 is the GCF.

63 can also be written as 63 = 7 X 9

Hence we can write 35 + 3

= (7 X 5) + (7 X 9)

Taking 7 common we get

7(5 + 9)

= 7 X 14

To learn more about factors & Multiples visit

https://brainly.com/question/17240111

#SPJ4

PLEASE HELP I NEED THIS QUICK!!!

Answers

The number of ways to travel the route is given as follows:

18 ways.

What is the Fundamental Counting Theorem?

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

The options for this problem are given as follows:

Providence to Boston: 3 ways.Boston to Syracuse: 3 ways.Syracuse to Pittsburgh: 2 ways.

Hence the total number of ways is given as follows:

3 x 3 x 2 = 18 ways.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

can someone help me please.​

Answers

I think it might be 12.

1) paul wants to deposit $7,300 into a one-year cd at a rate of 4.85%, compounded quarterly.

a) what his ending balance after the year?

b) how much interest did he earn?

c) what is his annual percentage yield?

hint: use the compounding interest formula

Answers

Using the compounding interest formula:

a) His ending balance after the year will be $7,658.91.

b) The amount of interest he will earn is $358.91.

c) His annual percentage yield is 4.9166%.

a) To calculate the ending balance after one year, we'll use the compound interest formula: A = P(1 + r/n)^(nt), where A is the ending balance, P is the principal ($7,300), r is the interest rate (4.85% or 0.0485), n is the number of compounding periods per year (4 for quarterly), and t is the number of years (1).

A = 7300(1 + 0.0485/4)^(4*1) = 7300(1.012125)⁴ = 7300*1.049166 = $7,658.91

b) To find the interest earned, subtract the principal from the ending balance: Interest = A - P

Interest = $7,658.91 - $7,300 = $358.91

c) To calculate the annual percentage yield (APY), we'll use the formula: APY = (1 + r/n)^(n) - 1

APY = (1 + 0.0485/4)⁴ - 1 = 1.049166 - 1 = 0.049166 or 4.9166%

Paul's ending balance after one year is $7,658.91, he earns $358.91 in interest, and his annual percentage yield is 4.9166%.

Learn more about compound interest here: https://brainly.com/question/30364118

#SPJ11

Draw a triangle with one side length of 5 units and another side length
of 7 units. What additional piece of information will guarantee that only
one triangle can be drawn?

Answers

It should be noted that to craft a triangle with an edge measuring 5 units of length, another side 7 units in magnitude, we can get underway by sketching an uninterrupted line of 7-units duration.

How to explain the information

Subsequently, draw an additional segment arriving at a peak of 5-units from the starting point of the former line. From the end-point of the line calculated as 7 units, draw a joined line towards the conclusion of the 5 unit-length section. This enables two distinctive triangles:

Also, to guarantee that just a single triangle can be drawn, it is imperative to recognize the angle resting between the two assigned sides. In case we are endowed with the inclination between both varying lengths of five and seven units, then only an original composition of triangle can be constructed.

Learn more about triangles on

https://brainly.com/question/17335144

#SPJ1

A floor plan of a house was drawn using a scale of 1 inch:5 feet. if the kitchen is drawn 2 1/2 inches by 3 inches, what are the dimensions of the actual kitchen?

Answers

If the kitchen is drawn 2 1/2 inches by 3 inches, the actual dimensions of the kitchen are 12.5 feet by 15 feet.

The given scale of 1 inch:5 feet means that for every 1 inch on the floor plan, the actual length in real life is 5 feet. To find the actual dimensions of the kitchen, we need to convert the length and width of the kitchen on the floor plan into real-life measurements.

The length of the kitchen on the floor plan is 2 1/2 inches, which in real life would be:

2.5 inches x 5 feet/1 inch = 12.5 feet

Similarly, the width of the kitchen on the floor plan is 3 inches, which in real life would be:

3 inches x 5 feet/1 inch = 15 feet

To verify this result, we can also use the scale to convert the actual dimensions of the kitchen back into the measurements on the floor plan. The length of the kitchen in real life is 12.5 feet, which on the floor plan would be:

12.5 feet x 1 inch/5 feet = 2.5 inches

Similarly, the width of the kitchen in real life is 15 feet, which on the floor plan would be:

15 feet x 1 inch/5 feet = 3 inches

As expected, these measurements match the dimensions of the kitchen as drawn on the floor plan.

To learn more about scale click on,

https://brainly.com/question/23864395

#SPJ4

Other Questions
1. 4. Explain TWO critical issues to be considered when choosing subjects in order to qualify for the Degree studies at a University. Code hs line of increasing blocks 4. 1. 5 ANSWER THIS PLS BRAINLIEST IF CORRECT!!!!!!!!x^5x^9 What system did merchants in the early centuries use to make commercialtransactions easier?o a. law merchantb. the bulk sales acto c. contract lawo d. the ucca is the answer 4. What are the possible values for b, if x2 + bx - 9 is factorable?(List factor pairs and add them to show your work. ) helppp me its need to be done quick The bells obtain a 30-year, $90,000 conventional mortgage at a 10.0% rate on a house selling for $120,000. Their monthly mortgage payment, including principal and interest, is $783.00. They also pay 2 points at closing. A)What is total amount the Bells will pay for their house.B) How much of the cost will be interest (including the 2 points)?C) How much of the first payment on the mortgage is applied to the principal? When making a payment from the petty cash fund for postage stamps, the following journal entry is made. a. debit supplies; credit petty cash b. debit postage expense; credit petty cash c. debit miscellaneous expense; credit petty cashd. no entry is made. Alpha company loaned $5,000 to beta company on october 1, year 1 at 6% interest. on december 31, year 1 alpha company's financial statements will report accrued interest of ______. Brainliest will be given. find the analogy that best represents the bold letters for each question. as many as you can do is appreciated! an explanation would be nice also. brainliest will be given to the person who answers the most, accurately!! If you want to put a border around a rectangular room what steps would you use to find the length of border needed someone pls help i really need help with this Jose created a ball pit for his little sister to play in. he put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. while his sister is playing, one ball rolls out of the pit. what is the probability that the ball is red? 0.17 0.17 0.20 0.20 0.25 0.25 0.40 Which surface would have more friction?woodenglasspapersandpaper 9. when buying a product online,a. only use debit cards for increased protection.b. call the seller to see if they will give you a cash discount.c. use a credit card or charge card for increased protection.d. send the seller a check because someone could steal your credit card number, E J calls people at random to conduct a survey. So far 40 calls have Ben answered and 120 calls have not What is the approximate probability that someone might answer the next call he makes. A. 75%. B. 1/3. C. 0. 25. D. 0. 4 In 2014, the italian adult non-institutionalized population was 38. 8 million, the labor force was 25. 4 million, and the number of people employed was 22 million. According to these numbers, the italian labor-force participation rate and unemployment rate were about:. C. What part of the federal reserves congressional mandate does this scenario trigger (price stability and maximum sustainable employment 21. The population of a small town is 15,000. If the population is growingby 5% per year, how long will it take for the population to reach 25,000? A large bakery buys flour in 50-pound bags. The bakery uses an average of 9,080 bags a year. Preparing an order and receiving a shipment of flour involves a cost of $27.3 per order. Annual carrying costs are $18.1 per bag. The bakery holds 41 bags of flour in inventory as safety stock. On average, how many bags of flour are in inventory?