help asap will give brainliest!

Help Asap Will Give Brainliest!

Answers

Answer 1

Step-by-step explanation:

VOLUME of pyramid =   1/3  base area  * height

 Base area is a square = 3 x 3

                                   = 1/3 ( 3x3) * 16 = 48 in^3


Related Questions

Find the slope of the graph.
Please help! :)​

Answers

y = 3x + 4

As it travels over 1 unit, it goes up 3, so the slope is 3. The y intercept occurs when y = 4, giving us:

y = 3x + 4

how do i do this? geometry is the death of me

Answers

Answer:

Step-by-step explanation:

17/x = 30/84  1. Set up the proportion

30x = 1428     2. Cross multiply and solve for x

x=47.6            3. There's the solution

two step equations
find the value of the unknown variable in the equation
3b+4= - 31

Answers

-35/3=
-15 is the answer

A χ2 statistic provides strong evidence in favor of the alternative hypothesis if its value is
A. a large negative number.
B. close to 1.
C. exactly 1.96
D. close to 0.
E. a large positive number.

Answers

Is this selection (A) the best one? a high positive number. The result of multiplying a negative number by a positive number is always negative.

The result of multiplying two numbers, whether they are positive or negative, is always positive. 3 plus 4 equals 12. The result is minus 12 since there is only one optimistic and one negative number.

Why does adding two negative numbers together results in a positive number?

Repeated subtraction equals multiplication by a negative. Negative numbers were reduced in negative value after they have been multiplied together. Students may easily relate both ideas thanks towards this comparison among both multiplication and addition.

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Solve: 4u−7/−7= u−4/4

Answers

Answer:

[tex]2 \frac{10}{23} [/tex]

Step-by-step explanation:

[tex] \frac{4u - 7}{ - 7} = \frac{u - 4}{4} [/tex]

Use the property of the proportion:

4 × (4u-7) = -7 × (u-4)

16u -28 = -7u + 28

16u + 7u = 28 + 28

23u = 56 / : 23

u =

[tex] 2\frac{10}{23} [/tex]

why does Kingston get less rainfall than port Antonio. it's tomorrow ​

Answers

Answer:

Step-by-step explanation:

D.

Relief rainfall causes Port Antonio on the windward side of the Blue Mountains to receive an average of 430 mm (17 inches) of rain in November while Kingston, in the rain shadow, receives only 175 mm (7 inches).

Question content area top
Part 1
Point B has coordinates ​(3,​1). The​ x-coordinate of point A is -3. The distance between point A and point B is units. What are the possible coordinates of point​ A?

Answers

We have two possible values for y, we have two possible Coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).

Here are the terms and steps we'll use in the solution:

1. Point B coordinates: (3, 1)
2. Point A x-coordinate: -3
3. Distance formula: √((x2 - x1)² + (y2 - y1)²)

Let's find the possible coordinates of point A:

Step 1: We know the x-coordinate of point A is -3, so its coordinates will be in the form (-3, y).

Step 2: Apply the distance formula to find the distance between point A (-3, y) and point B (3, 1):

Distance = √((3 - (-3))² + (1 - y)²)

Step 3: Square the distance equation to eliminate the square root:

Distance² = (3 - (-3))² + (1 - y)²

Step 4: Plug in the given distance value and solve for y:

(units)² = (3 - (-3))² + (1 - y)²

Step 5: Solve for (1 - y)²:

(1 - y)² = (units)² - (3 - (-3))²

Step 6: Take the square root of both sides:

1 - y = ±√((units)² - (3 - (-3))²)

Step 7: Solve for y:

y = 1 ±√((units)² - (3 - (-3))²)

Since we have two possible values for y, we have two possible coordinates for point A: (-3, 1 + √((units)² - (3 - (-3))²)) and (-3, 1 - √((units)² - (3 - (-3))²)).

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can you please solve this

this is only 8th grade math

Answers

Answer:

second option: 6

Step-by-step explanation:

The general term of a geometric sequence is given by: [tex]a_{n} = a_{1} r^{n-1}[/tex]

∴ [tex]a_{1}[/tex] is the first term

[tex]a_{8} = a_{1} (3)^{8-1}[/tex]

13122 = [tex]a_{1}[/tex] [tex](3)^{7}[/tex]

13122 = [tex]a_{1}[/tex] x 2187

13122/2187 = [tex]a_{1}[/tex]

6 = [tex]a_{1}[/tex]

Is the following equation true or false?

3.6 + (4.2 x 2.4) ÷ 2 = 8 x 2 – 7.46

True
OR
False

Answers

Answer:

False

Step-by-step explanation:

A circle has a Centre at (1,2). One point on its circumference is (-3,-1). What is the radius of the circle?

Answers

Answer:

5

Step-by-step explanation:

In the given question,

center of the circle C = (1, 2)

let P be the point (-3, -1) on the circle (on circumference)

radius of the circle is equal to the distance between the center and any point on its circumference.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] (distance between two points)

therefore,

[tex]r = \sqrt{(-3 - 1)^2 + (-1 - 2)^2}[/tex]

[tex]r = 5[/tex]

Hopefully this answer helped you!

you operate a tour service that offers the following rates: $600 per person if 30 people (the minimum number to book the tour) go on the tour. for each additional person, up to a maximum of 130 people total, the rate per person is reduced by $3. it costs $7380 (a fixed cost) plus $390 per person to conduct the tour. how many people does it take to maximize your profit?

Answers

67 people can maximize the profit.

Let's aasume that x represent the number of people.

so, the number of people on the tour = x + 50

The cost function would be:

C = 6000 + 32x

and the revenue:

R = (200 - 2x)(50 + x)

R = 10000 - 100x + 200x - 2x^2

R = 10000 + 100x - 2x²

So, the profit would be:

P = R - C

P = 10000 + 100x - 2x² - 6000 - 32x

P = 4000 + 68x - 2x²

Now we take the derivative of profit function:

P' = 68 - 4x

Consider P'(x) = 0

68 - 4x = 0

4x = 68

x = 17

So, the number of people on tour: 50+17 = 67

This means that 67 people can maximize the profit.

and the profit would be:

P = 4000 + (68 × 17) - (2 × 17²)

P = $4578

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Write the equation of the graph shown below in factored form.

A. f(x) = (x − 2)2(x + 1)(x − 4)
B. f(x) = (x + 2)2(x − 1)(x + 4)
C. f(x) = (x + 2)2(x + 1)(x + 4)
D. f(x) = (x − 2)2(x − 1)(x − 4)

Answers

Answer:

C

Step-by-step explanation:

given x = a is a solution of f(x) then (x - a) is a factor

here the solutions, where the graph crosses the x- axis, are

x = - 4 , x = - 2 , x = - 1 , then the corresponding factors are

(x - (- 4)) , (x - (- 2)) , (x - (- 1)) , that is

(x + 4) , (x + 2) , (x + 1)

f(x) is then the product of these factors, that is

f(x) = (x + 2)(x + 1)(x + 4) ← in factored form

If (7,-4) is on the graph of F(x), which point must be on the
graph of the inverse function F¹(x)?

Answers

Point (D) (-7, 4) must be on the graph of the inverse function F¹(x)  if point (7,-4) is on the graph of the function F(x).

What is an inverse function?

If there is just one value of x in the domain where f(x)=y, then a function f does not have an inverse function.

The term "f inverse" is widely used to refer to this particular inverse function, which is singular.

A function's inverse will cause the input and output to be inverted.

If a function has an inverse, one can use algebra to find it by setting the function equal to y.

Then, swap x and y and solve for y in terms of x.

So, we have the coordinates:
(7, -4)

It lies in the 4th quadrant.

Then, its inverse would be in the 2nd quadrant.

Which would be:

(-7, 4)

Therefore, point (D) (-7, 4) must be on the graph of the inverse function F¹(x)  if point (7,-4) is on the graph of the function F(x).

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Answer:

Step-by-step explanation:

it's (-4,7)

What is the slope, m, and the coordinates of the y-intercept for the graph represented by this equation: 3x+2y=12


m =

y-intercept =(_,_)

Answers

Answer: y intercept = (0.6)

Step-by-step explanation:

plug in 0 for x since the y-intercept is when x=0. then solve the equation. 2y=12. divide both sides by 2. y=6

i’m sorry i’m not sure about the slope

rita numbered the circles of the figure from 1 to 8, so that the sum of the three numbers on each of the four sides of the square equals 13. what is the sum of the four numbers written on the colored circles?

Answers

Rita numbered the circles of the figure from 1 to 8, so that the sum of the three numbers on each of the four sides of the square equals 13. The sum of the four numbers written on the colored circles is 10.

What is the figure?

The figure is as shown below:

Now, let's check how the numbers are arranged:The sum of the numbers 1, 6, and 6 is 13, and they are written on the same side of the square as the circle labeled with 1.

Similarly, the numbers 2, 5, and 6 are on the same side of the square as the circle labeled with 2, and the numbers 2, 6, and 5 are on the same side of the square as the circle labeled with 3.

Now, the remaining number that has not been used in any of the sides of the square is 4.

Therefore, it should be placed at the center of the square, as shown below:

The numbers on the colored circles are: 1, 2, 3, and 4. Thus, their sum is:

1 + 2 + 3 + 4 = 10

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angle is constructed with its base on the x-axis and its upper two vertices on the parabola . what are the dimensions of the rectangle with the maximum area? what is the area?'

Answers

The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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you have three empty boxes and eight balls. how many ways can you distribute the balls among the three boxes so that each box contains at least one ball?

Answers

The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21

Here we have 3 empty boxes.

Let us assume that a, b and c be these empty boxes.

and the total number of balls = 8

We need to distribute the balls among the three boxes so that each box contains at least one ball.

This means that a + b + c = 8

By allotting 1 ball to each box so that no box remains empty.

We get an equation a + b + c = 5

So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:

⁷C₂

Using combination formula:

⁷C₂

= 7! / 2!(7 - 2)!

= 21

Therefore,  the required number of ways = 21

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A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
Ounce.

Answers

In Linear equation, 5/8 golf balls per ounce are the number of golf balls per Ounce.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                          Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with power 1 variables are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Number of golf balls (n) = 20

Total weight (w) = 32 ounces

total weight = number of balls (n) * weight of 1 golf ball

∴ weight of 1 golf ball = w/n =32/20 ounces

⇒ the weight distribution is 1.6 ounce per golf ball

Now, apply unitary method :

32 ounces is total weight of 20 golf balls

∴ 1 ounce amounts to 20/32 golf balls

⇒ there are 5/8 golf balls per ounce

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please help its confusing

Answers

Answer:

So first you'll want to line your numbers in order. 0,3,4,6,6,7,7,7,

The median refers to number that is in the middle, so 6 is the median.

To find the range, you subtract the biggest number with the smallest. So 9 is the range.

And 7 is the mode because it's repeated the most.

hope this helps

median:6

range: 9

mode: 7

Someone help plss/a. Consider the cube shown below. Identify the two-dimensional shape of the cross-section if the
cube is sliced horizontally.
b. Starting with the same cube, identify the two-dimensional shape of the cross-section if the cube is
sliced vertically.
c. Explain why the shapes are the same or different.

Answers

a.the two-dimensional shape of the cross-section will be a square.

b. the two-dimensional shape of the cross-section will also be a square.

c .The shapes are the same because regardless of the orientation of the cut, the cross-section will always be a square since all sides of a cube are equal.

Define  two-dimensional shape

A two-dimensional shape is a geometric figure that has only two dimensions, namely length and width, but no thickness or depth. Examples of two-dimensional shapes include circles, squares, triangles, rectangles, and polygons. These shapes are typically represented on a flat surface such as a piece of paper or a computer screen.

a. If the cube is sliced horizontally, the two-dimensional shape of the cross-section will be a square.

b. If the cube is sliced vertically, the two-dimensional shape of the cross-section will also be a square.

c. The shapes are the same because regardless of the orientation of the cut, the cross-section will always be a square since all sides of a cube are equal. The orientation of the cut only affects which faces of the cube are visible in the cross-section, but the shape itself remains the same.

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To explain how the formula for area, A=bh
, can be used to derive the formula for the area of a circle, start by taking a circle, dividing it into small pizza shaped slices, and laying the slices out as shown.



The smaller the slices are, the less curvature and the closer to a parallelogram the shape becomes.

The base of the parallelogram, in terms of the circle, is
, and the height of the parallelogram is
.

Area is base times height, so multiply the base and the height together.

Now we have the formula area =
.

Answers

bh, where b is the base and h is the height of the parallelogram.

In the case of the circle, the base of the parallelogram is the circumference of the circle, which is equal to 2πr, where r is the radius of the circle. The height of the parallelogram is the distance from the center of the circle to the edge of the circle, which is also the radius r. Therefore, we have:

b = 2πr

h = r

Substituting these values into the formula for the area of a parallelogram, we get:

Area = bh = (2πr)(r) = 2πr^2

So the formula for the area of a circle is derived from the formula for the area of a parallelogram by using the circumference of the circle as the base and the radius of the circle as the height.

dfghjklkjytrewqaASDCV

Answers

Answer:

]]] explanation:

I NEED HELP ON THIS FAST!

Answers

The two sides of the triangle are equal the triangle is an isosceles triangle.

What is an isosceles triangle?

Triangles with two equal sides are known as isosceles triangles. Triangles are three-sided polygons that can be categorised as equilateral, isosceles, or scalene depending on how long their sides are.

The uneven side of this triangle is referred to as the base since the other two sides are equal in it. The triangle's two equal sides are always opposing equal angles. An isosceles triangle's height is calculated from its base to its vertex (topmost point). The third angle of a right isosceles triangle is 90 degrees.

The coordinates of the triangle are J(-2, 4), K(8, 4) and L (6, -2).

Using the distance formula we have:

The distance between J and K: √((8 - (-2))² + (4 - 4)²) = 10

The distance between K and L: √((6 - 8)² + (-2 - 4)²) = 6.324

The distance between L and J: √((-2 - 6)² + (4 - (-2))²) = 10

Since two sides of the triangle are equal the triangle is an isosceles triangle.

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What are two possible expressions equal to the product of 2 and 1 3/6

Answers

The product of 2 and 1 3/6 can be expressed as either 18/6 or 3

The product of 2 and 1 3/6 can be found by multiplying 2 by the mixed number 1 3/6. To do this, we need to convert the mixed number to an improper fraction, then multiply it by 2. Here are two possible expressions that are equal to the product of 2 and 1 3/6

Improper fractions

2 x 1 3/6 = 2 x (1 + 3/6) = 2 x (6/6 + 3/6) = 2 x 9/6 = 18/6

Therefore, the product of 2 and 1 3/6 is equal to 18/6.

Decimals

We can also convert the mixed number 1 3/6 to a decimal and then multiply it by 2. To convert the mixed number to a decimal, we divide the numerator (3) by the denominator (6), which gives us 0.5. Then we add the whole number (1) to get 1.5.

2 x 1.5 = 3

Therefore, the product of 2 and 1 3/6 is equal to 3.

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Need help with these please test is tommorw

Answers

Answer:

3.75 and B

Step-by-step explanation:

for the first one if the actual is 48 feet, and the image is 12.8, divide both by the image(12.8). The value you have for the image should then become one centimeter, therefore the value you have for the parking lot is the amount of feet/1cm. For the second image, its the same idea. In this case you want to know how tall the scale is, so divide by the amount of meters(just as 6/2=3 and 6/3=2 the real value/scale value=representation of 1 unit and real value/representation of 1 unit = scale value). You get 12.5, however that is per 1 unit, so multiply by five since(the value you get by simply dividing is the answer IF 30 meters were represented in the scale by 1centimeter, but its represented by 5 so you multiply by five)You get 63.5

divide the length of the hypotenuse of triangle ABC by the length of one of its sides divide the length of the hypotenuse of triangle ACD by the length of one of its sides make a conjecture that explains the results

Answers

Therefore , the solution of the given problem of triangle comes out to be    h/s = h/√(h² - s²)..

A triangle is exactly what?

If a polygon has at least one additional segment, it is a hexagon. Its form is a straightforward rectangle. Something like this can only be distinguished from a regular triangular by edges A and B. Euclidean geometry only creates a portion of the cube, despite the precise collinearity of the borders. A triangular has three sides and three angles.

Here,

Triangle ABC and triangle ACD are both right triangles with a common hypotenuse, as shown by the given diagram.

Let's write the lengths of the sides AB or AD as s and the hypotenuse AC as h. (since both triangles have a common side with length s).

The Pythagorean formula can now be used to determine the length of each triangle's third side:

Triangle ABC's third side's length (BC) can be calculated using this formula:

=> BC = √(h² - s²).

The third side's (CD) length in the triangle ACD is also determined by:

=> CD = √(h² - s²).

By dividing each triangle's hypotenuse's (h) length by one of its sides' (s) lengths, the following result is obtained:

In the triangular ABC,

=> h/s = h/ √(h² - s²).

In the triangular ACD

=>  h/s = h/√(h² - s²).

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if the absolute value of your calculated t-statistic exceeds the critical value from the standard normal distribution, you can: conclude that most of the actual values are very close to the regression line. reject the assumption that the error terms are homoskedastic. reject the null hypothesis. safely assume that your regression results are significant.

Answers

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Step-by-step explanation:

Once sales tax is included, a $470 rug ends up costing $517. What is the sales tax percentage?

Answers

Answer:

10%

Step-by-step explanation:

(517-470)/470x100

=10%

Find the difference after tax and divide by the original price and times 100%

Option t Suppose you have $150.00 with which to start a business. You have Exactly the skills and
training you have right now. What business will you start? How will you spend the money? What will you do
to make sure your business works? How would you advertise?

Answers

You can successfully begin a business that serves the requirements of expression your community by leveraging your existing skills and networks and investing in targeted marketing methods.

what is expression ?

An expression in mathematics is a collection of representations, digits, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a combination of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the representation of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Offering a service that leverages your existing talents and training is one suggestion for beginning a business with $150.00. For example, if you are a graphic designer, you may offer logo creation or other graphic design services to local small businesses or people. Instead, if you have experience with social media marketing, you might offer to handle small businesses' social media accounts.

Ultimately, launching a firm on a tight budget necessitates ingenuity and resourcefulness. You can successfully begin a business that serves the requirements of your community by leveraging your existing skills and networks and investing in targeted marketing methods.

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an a-frame tent is in the shape of an isosceles triangle. the base of the triangle is 7 ft and the two congruent sides are each 6 ft. what is the height of the tent

Answers

The height of the tent is approximately 4.87 feet.

To find the height of the tent, we need to first determine the length of the altitude (perpendicular line) drawn from the apex (top point) of the triangle to the base. Let's call this length "h".

We can use the Pythagorean theorem to find "h". Let's draw a line from the apex of the triangle to the midpoint of the base, which will split the isosceles triangle into two congruent right triangles. Then we have

h^2 + (7/2)^2 = 6^2

h^2 + 49/4 = 36

h^2 = 36 - 49/4

h^2 = 95/4

h = sqrt(95)/2

h ≈ 4.87 ft

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PLEASE PLEASE HELP IT IS DUE TONIGHT!!! I need help with number 9. what is the hypothesis that evolution occurs at a slow, gradual pace? choose the correct answer. responses gradualism gradualism adaptation adaptation slow motion slow motion natural selection an enclosed section in a railway is called suggested pre-requi planning and the marketing mix learning objectives after completing this simulation you should be able to: * discuss how product development is the foundation of the 4 p's * explain how design options impact production costs * analyze the connection between design options and customer interest * apply this information in support of achieving mission goals solid sodium reacts with liquid water to produce hydrogen gas and aqueous sodium hydroxide(naoh) . write a balanced chemical equation for this reaction. Laertes: For Hamlet, and the trifling of his favour,Hold it a fashion and a toy in blood,A violet in the youth of primy nature,Forward, not permanent, sweet, not lasting,The perfume and suppliance of a minute;No more.-Hamlet,William ShakespeareWhich phrases in the passage provide clues that trifling means "silliness" or "insignificance"? a. a toyb. in bloodc. not permanentd. his favoure. not lasting the process of creating, communicating, delivering, and exchanging offerings that have value for customers, clients, partners, and society at large is called ? . Which is hotter: a blowtorch flame at 1300C or a candle flame at 1830F? By howmuch is one flame hotter than the other in each scale? Abby tosses one penny and Babby tosses two pennies. What is the probability that Babby gets the same number of heads that Abby gets? wm. wrigley jr. company once made only chewing gum. when wrigley bought life savers (a line of candy mints) and altoids (a line of breath mints) from kraft, chewing gum then constituted less than 95 percent of revenues. thus, wrigley: a. probably planned to restructure these companies and sell them off. b. became a conglomerate since life savers and altoids are unrelated businesses. c. was moving away from its traditional dominant strategy toward a related linked strategy. d. was moving away from its traditional single-business strategy toward a dominant strategy. leslie was a botanist who observed a plant cell dividing and noticed a new cell wall developing. how would you classify the site at which the single cell becomes partitioned into two cells? after being bitten by a dog, a child shows an exaggerated fear response to all dogs, even small friendly dogs on leashes. the child's fear reaction to dogs is an example of a(n): what is the term used for the person or organization who acts as an intermediary for the purpose of obtaining financing Which of the following lines is parallel to the line that goes through the points (5, 8) and (3, 6)? Please help me!!!!!! a postoperative client has developed thrombophlebitis in the right leg. what new plan of care will need to be added because of this complication? carbon monoxide combines with what component of blood? the most important clan that became preeminent between 856 and 1072 was the group of answer choices taira. kiyomori. fujiwara. minamoto. Estimate 15 times 34 by rounding each number to the nearest Which graph shows the solution to the equation below?log Subscript 3 Baseline (x + 2) = 1On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = 1.On a coordinate plane, a curves starts in quadrant 4 and curves up into quadrant 1 and approaches y = 3. It crosses the x-axis at (1, 0). A horizontal straight line is at y = negative 1.On a coordinate plane, a curve starts in quadrant 3 and curves up into quadrant 1 and approaches y = 1. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = 1.On a coordinate plane, a curves starts in quadrant 3 and curves up into quadrant 1 and approaches y = 2. It crosses the x-axis at (negative 1, 0). A horizontal straight line is at y = negative 1. ii. with a nominal interest rate of 5% per year, the present discounted value of $100 to be received in 10 years is a) $50.00. b) $61.39. c) $95.24. d) $150.00. e) $163.89.