The triangle shown below has an area of 18 units 2 squared.

Answer: a/ c/ d and e

Step-by-step explanation:

The coordinates of the point on the directed line segment are (-6, 0)

Coordinates of a point refer to a set of numbers that represent the location of the point in a particular coordinate system.

To find the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1, we can use the following formula:

P = [tex]( (3/4)*x_1 + (1/4)*x_2 , (3/4)*y_1 + (1/4)*y_2 )[/tex]

where P is the point that partitions the line segment, (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints of the segment, and the coefficients 3/4 and 1/4 correspond to the ratio in which the segment is divided.

Plugging in the values, we get:

P = ( (3/4)*(-7) + (1/4)*3 ,  (3/4)3 + (1/4)(-9) )

= (-21/4 - 3/4 ,   9/4 - 9/4)

= (-6, 0)

Therefore, the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1 are (-6, 0).

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The graph is a parabola, with a vertex at (4,-4), an axis of symmetry at x = 4, x-intercepts at x = 10 and x = -2, and a y-intercept at (0,-20).

A quadratic function is a type of polynomial function of degree 2. It can be defined as a function in which the highest power of the independent variable x is 2.

The quadratic function f(x) = x² - 8x - 20 has a graph that is a parabola with a vertical axis of symmetry.

Vertex: The vertex of the parabola can be found using the formula x = -b/2a, where a and b are the coefficients of x² and x respectively.

In this case, a = 1 and b = -8, so the x-coordinate of the vertex is x = -(-8)/(2×1) = 4.

To find the y-coordinate of the vertex, substitute x = 4 into the equation: f(4) = 4² - 8(4) - 20 = -4. Therefore, the vertex is located at (4,-4).

Axis of symmetry: The axis of symmetry of the parabola is a vertical line passing through the vertex.

In this case, the axis of symmetry is the line x = 4.

Intercepts: To find the x-intercepts set y = 0 and solve for x: x² - 8x - 20 =0.

this quadratic equation can be factored as (x - 10)(x + 2) = 0

so the x-intercepts are x = 10 and x = -2.

To find the y-intercept, set x = 0 and evaluate f(0) = 0² - 8(0) - 20 = -20. Therefore, the y-intercept is (0,-20).

Image is attached below.

The graph is a upward-facing parabola, with a vertex at (4,-4), an axis of symmetry at x = 4, x-intercepts at x = 10 and x = -2, and a y-intercept at (0,-20).

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Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.

What is discount?

Discount means the amount which is deducted by sellers from the amount to be payable by buyers.

Part A:

Store A is selling the laptop for $900 and has a discount coupon for 15% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:

Discount amount = $900 x 15% = $135

Therefore, the amount of the discount at Store A is $135.

Part B:

Store B is selling the laptop for $950 and has a discount coupon for 10% off. To calculate the amount of the discount, we can multiply the original price by the discount percentage:

Discount amount = $950 x 10% = $95

Therefore, the amount of the discount at Store B is $95.

Part C:

At Store A, the final price would be:

Final price at Store A = $900 - $135 = $765

At Store B, the final price would be:

Final price at Store B = $950 - $95 = $855

Therefore, Store A would be the better choice as the final price is lower than Store B even though the original price was also lower at Store B.

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(a)The transformed vertices would be:

W' = (1, -3)

X' = (-3, 0)

Y' = (1, -2)

(b)The transformed vertices would be:

W' = (-0, 1)

X' = (4, 4)

Y' = (-0, 2)

a) Reflection: To reflect the triangle across the y-axis, we simply need to negate the x-coordinates of each vertex.

The transformed vertices would be:

W' = (-0, 1)

X' = (4, 4)

Y' = (-0, 2)

The reflected triangle would be W'X'Y'.

b) Translation: To translate the triangle by the vector (1, -4), we add (1, -4) to the coordinates of each vertex.

The transformed vertices would be:

W' = (1, -3)

X' = (-3, 0)

Y' = (1, -2)

The translated triangle would be W'X'Y'.

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The volume of the solid with a hole in the shape of a rectangular prism passing through the center of a cylinder with a radius of 10 yards is approximately 1410 cubic yards, rounded to the nearest ten.

The cylinder with the hole can be viewed as the difference of two solids: the cylinder and the rectangular prism. The volume of the cylinder is given by the formula V_cyl = π[tex]r^2h[/tex], where r is the radius and h is the height.

The height of the cylinder is equal to the height of the rectangular prism that passes through its center. The height of the rectangular prism is given as 12 yards, which is also the diameter of the cylinder. Therefore, the height of the cylinder is h = 12/2 = 6 yards.

The volume of the cylinder is therefore V_cyl = π[tex](10)^2(6)[/tex] = 600π cubic yards.

The rectangular prism has a length of 20 yards, a width of 10 yards, and a height of 12 yards. Therefore, its volume is V_prism = 20 × 10 × 12 = 2400 cubic yards.

The volume of the solid with the hole is then:

V = V_cyl - V_prism = 600π - 2400 = 600(π - 4) ≈ 1412.2 cubic yards.

Therefore, the volume of the solid is approximately 1410 cubic yards.

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1.  36x+8- 3rd column;

2. (9·4x)+(9·1)=36x+9 - 1st column;

3. (3·12x)-(3·3)=36x+9 - 2nd column;

4. 9(4x+1)=36x+9 - 1st column;

5.  36x-9- 2nd column;

6. 4(9x+2)=36x+8 - 3rd column

In mathematics, an equation is a statement that asserts the equality of two expressions, typically separated by an equals sign (=). Equations can contain one or more variables, which are quantities that can take on different values.

Start with expressions in blue boxes:

1st column) 36x+9;

2nd column) 9(4x-1)=36x-9;

3rd column) (4·9x)+(4·2)=36x+8.

You have 6 expressions. Consider all them:

1.  36x+8- 3rd column;

2. (9·4x)+(9·1)=36x+9 - 1st column;

3. (3·12x)-(3·3)=36x+9 - 2nd column;

4. 9(4x+1)=36x+9 - 1st column;

5.  36x-9- 2nd column;

6. 4(9x+2)=36x+8 - 3rd column

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The complete question is;

Drag each expression to show whether it is equivalent to 36x + 9, 9(4x – 1), or (4 • 9x) + (4 • 2).

Answer:

(7) AB is a tangent , (8) AB is not a tangent

Step-by-step explanation:

the angle between a tangent and the radius is 90°

if AB is a tangent then Δ ABC is right with hypotenuse AC

using Pythagoras' identity

the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides.

if AC² = AB² + BC² , then AB is a tangent to the circle

(7)

AC² = 34² = 1156

AB² + BC² = 30² + 16² = 900 + 256 = 1156

since AC² = AB² + BC² , then AB is a tangent to the circle

(8)

AC² = 28² = 784

AB² + BC² = 21² + 20² = 441 + 400 = 841

since AC² ≠ AB² + BC² , then AB is not a tangent to the circle

Answer:

Step-by-step explanation:

the stabdard error is given with the se coefficient snf the y slope

Answer: $105,000

Step-by-step explanation:

$140,000-25%deposit =$105,000

The number of gold balls in the given bag is determined as 25 gold balls.

Let's use the formula for calculating probability:

Probability of an event = Number of favorable outcomes / Total number of outcomes

The total number of possible ways to choose 2 balls from a bag of 40 is:

40C2 = (40 x 39) / (2 x 1) = 780

Now we need to find the number of ways to choose 2 gold balls from the bag.

Let's say there are "g" gold balls in the bag. Then the number of ways to choose 2 gold balls is:

gC2 = (g x (g-1)) / (2 x 1)

We want to find the probability that 2 gold balls are removed, so we use the formula above to get:

Probability of choosing 2 gold balls = Number of ways to choose 2 gold balls / Total number of ways to choose 2 balls

Therefore, we have:

Probability of choosing 2 gold balls = gC2 / 40C2

We are given that this probability is 12/95, so we can set up an equation:

(g x (g-1)) / (2 x 1) / (40 x 39) / (2 x 1) = 12/95

Simplifying, we get:

g x (g-1) = (12/95) x (40 x 39)

g x (g-1) = 624

Expanding and rearranging, we get a quadratic equation:

g² - g - 624 = 0

Solving this quadratic equation, we get:

g = 25 or g = -24

We discard the negative solution, as the number of gold balls must be a positive integer. Therefore, there are 25 gold balls in the bag.

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Answer: D. y=-x+7

Step-by-step explanation: For example,

(-1,8)

x= -1

y=8

-(-1) = 1

1 + 7 = 8

Answer:

Step-by-step explanation:

explain you question more i cant understand if i could i would help

The possible present ages of each cockatoo, given the sum of the cockatoos would be Galah cockatoo is currently 10 years old and the white cockatoo would be 34 years old

Let's use variables to represent the present ages of the two cockatoos. Let W be the present age of the white cockatoo and G be the present age of the Galah cockatoo. We're given that the sum of their ages is 44 years:

W + G = 44 (1)

In n years, the white cockatoo will be W + n years old, and the Galah cockatoo will be G + n years old:

W + n = 4(G + n) (2)

Since n > 0, 5G - 44 must be positive. We can try different values of G to find possible integer values for n.

For G = 8:

44 - 5(8) = 4

4 = -3n

n is not an integer.

For G = 10:

44 - 5(10) = -6

-6 = -3n

n = 2

So one possibility is that the Galah cockatoo is currently 10 years old. In this case, the white cockatoo would be 34 years old (since W + G = 44).

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Answer:

The area of the shaded region equals 21.43 sq. units.

Step-by-step explanation:

When calculating how much material is needed to cover a wooden table, how many tiles are needed to tile the floor, how much space is needed for a parking lot, how much paint is needed for the walls, etc., we employ the notion of area.

Given, A circle is circumscribed in the square,

Area of shaded region = area of square - area of circle

Area of square = Side²

= 10 × 10 = 100 sq. units,

Area of circle = Πr²

Radius = Diameter / 2

radius = 10 / 2 = 5 unitsArea of circle = Πr²

Radius = Diameter / 2

radius = 10 / 2 = 5 units

Area of circle = 22/7 × 5 × 5

= 78.57 sq. units

Area of shaded region = 100 - 78.57,

Area of shaded region = 21.43 sq. units

The distance walked by Dario from to reach comic book store is 1.4 miles.

Displacement and distance are two terms that, while they appear to imply the same thing, have quite different definitions and meanings. Displacement is the measurement of "how much space an item has covered while it has been in motion," whereas distance is the indication of "how much ground an object has covered during its motion." Let's examine the distinction between displacement and distance in this essay.

For the given route we have:

House to jewelry store:

0.2 - (-0.5) = 0.2 + 0.5 = 0.7 miles.

Jewelry store to bank:

0.6 - 0.2 = 0.4 miles.

Bank to comic book store:

-0.5 -(-0.8) = -0.5 + 0.8 = 0.3 miles.

House to comic book store:

0.7 + 0.4 + 0.3 = 1.4 miles.

Hence, the distance walked by Dario from to reach comic book store is 1.4 miles.

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The complete question is:

The correct column is (A), which correctly represents the responses as probability.

Probability is a measure of the likelihood or chance that a particular event will occur. It is usually expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

The sum of all the responses is 558 + 79 + 20 + 7 = 664.

To represent the responses as a probability model, we need to divide each response by the total number of respondents, 664.  

The correct column is (A), which correctly represents the responses as probabilities:

(A)Very important 558/664 = 0.841

Somewhat important 79/664 = 0.119

Not too important 20/664 = 0.030

Not at all important 7/664 = 0.011

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Answer:

x =65°( being alternate angel)

The absolute extrema for the given function occurred at the critical points for Interval  [0, 2π] is 3.

The point wherein the minimum or maximum value of the function is reached is known as the absolute extremum (also global extremum) of the function in the given interval.

The absolute extremum, or point equivalent to the highest or least value in the entire function, is frequently the interval specified, which is the domain of the function.

The given function :

y = 3 cos x,

Differentiate the function with respect to 'x'.

y' = -3 sin x

Find the critical point , by y = 0

-3 sin x = 0  

x = sin ⁻¹ (0)

Interval  [0, 2π]

So, critical points are: x = 0,π, 2π

Now, evaluate function by putting the critical points;

y(0) = 3 cos 0 = 3

y(π) = 3 cos π = 0

y(2π) = 3 cos 2π = 3

Thus, absolute extrema for the given function occurred at the critical points 0 and 2π that is 3.

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Answer:

12

Step-by-step explanation:

The probabilities of the events and their values are shown below

The total number of marbles in the bag is 13, with 6 blue, 2 green, and 5 red.

P(Blue or Green) represents the probability of selecting a blue or green marble on the first pick.

This is calculated as follows:

P(Blue or Green) = P(Blue) + P(Green)

= 6/13 + 2/13

= 61.5%

P(Blue and Green) represents the probability of selecting a blue marble and a green marble on two consecutive picks, with replacement.

Therefore:

P(Blue and Green) = P(Blue) * P(Green)

= (6/13) * (2/13)

= 7.1%

P(Blue and Green) represents the probability of selecting a blue marble and a green marble on two consecutive picks, without replacement.

Therefore:

P(Blue and Green) = P(Blue) * P(Green)

= (6/13) * (2/12)

= 7.7%

P(Blue) represents the probability of selecting a blue marble on the first pick.

This is simply the proportion of blue marbles in the bag:

P(Blue) = 46.2%

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Answer:

x=-5, y=-2

Step-by-step explanation:

2x+4y=-18                (1)

5x-10y=-5                 (2)

apply 5×(1)+2×(2)

10x+20y=-90      (3)

10x-20y=-10   (4)

by adding (3) and (4)

20x=-100

x=-5

put the value of x in  (1)

we get 2×(-5)+4y=-18

⇒y=-2

After solving the given equations, the value of x and y are -5 and -2 respectively.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance.

Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, we have the equations:

2x+4y=-18                (1)

5x-10y=-5                 (2)

Apply as follows: 5×(1)+2×(2)

10x+20y=-90      (3)

10x-20y=-10   (4)

After adding (3) and (4):

20x=-100

x=-5

Insert the value of x in  (1) as follows:

We obtain: 2×(-5)+4y=-18

⇒y=-2

Therefore, after solving the given equations, the value of x and y are -5 and -2 respectively.

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Answer:

1 c

2 d

3 a

4 b

5 e

Step-by-step explanation:

scale factor > 1 => expansion

scale factor < 1 => contraction

scale factor = 1 => no change

scale factor is (-) => opposite site

The number of students who have both a cell phone and a tablet is 13. This corresponds to the intersection of the "Has Cell Phone" and "Has Tablet" sets.

What is meant by intersection?

In mathematics, the intersection of two sets A and B is a new set that contains all the elements that are common to both sets. In symbols, the intersection of A and B is denoted by A ∩ B, and it is defined as:

A ∩ B = {x : x ∈ A and x ∈ B}

Let A represent the set of students who have a cell phone, and B represent the set of students who have a tablet. The intersection of A and B, denoted by A ∩ B, represents the set of students who have both a cell phone and a tablet. Therefore, we want to find the cardinality (or size) of the set A ∩ B.

From the frequency table, we know that the total number of seventh graders surveyed is 100. We also know that there are 32 students who have a cell phone (i.e., |A| = 32) and 70 students who have a tablet (i.e., |B| = 70). We are given that 19 students who have a cell phone do not have a tablet, which means that there are 32 - 19 = 13 students who have both a cell phone and a tablet (i.e., |A ∩ B| = 13).

Therefore, the number of students who have both a cell phone and a tablet is 13. This corresponds to the intersection of the "Has Cell Phone" and "Has Tablet" sets.

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Answer:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735...

Step-by-step explanation:

Answer:

[tex]13 < \sqrt{181} < 14[/tex].

Step-by-step explanation:

We have been given an inequality ___[tex]< \sqrt{181} <[/tex]___. We are asked to fill in the blank with two consecutive integers to complete the given inequality.

We know that square root of 181 is not an integer. We can see that 181 is greater than square root 169 and and square root of 196.

[tex]\sqrt{169} < \sqrt{181} < \sqrt{196}[/tex]

We know that [tex]\sqrt{169}=13[/tex] and [tex]\sqrt{196}=14[/tex].

Therefore, our required inequality would be [tex]13 < \sqrt{181} < 14[/tex]

a) The total cost for renting a compact car for eight days is as follows for each plan:

b) It is more economical to take the weekly rental plan than the daily rental plan.

Each plan's total rental cost is determined using multiplication or addition.

For instance, the total cost for the daily plan is a product of the daily rental cost and the number of days the car is rented.

The total cost for the weekly plan is an addition operation since the car is rented for 7 days (weekly cost) and 1 day (daily cost).

                               Day                  Week

Rental cost per      $48                   $312

1 week = 7 days

Total rental cost for

8 days                $384 ($48 x 8)     $360 ($312 + $48)

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