Eli has a trophy case that is 4 3/5 feet by 2 feet by 3 1/2feet. What is the volume of Eli’s trophy case?

Answers

Answer 1

The volume of Eli's trophy case is 64.4 cubic feet.

Eli's trophy case's length, breadth, and height must be multiplied to determine its volume. The case has the following measurements:

Length = 4 3/5 feet

Width = 2 feet

Height = 3 1/2 feet

We can sum the improper fractions after converting the mixed integers to fractions to arrive at:

Length = 4 3/5 feet = (5*4 + 3)/5 = 23/5 feet

Height = 3 1/2 feet = (2*3 + 1)/2 = 7/2 feet

Now that we have the volume, we can multiply the length, width, and height:

Volume equals length, width, and height

= (23/5) feet x 2 feet x (7/2) feet

= (23 x 2 x 7)/(5 x 2) cubic feet

= (644/10) cubic feet

= 64.4 cubic feet

Eli's trophy case therefore has a 64.4 cubic foot volume.

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Related Questions

Brian is at the grand opening celebration of a supermarket. He spins a wheel with 10 equal-sized slices, as shown below. The wheel has 3 black slices, 3 grey slices, and 4 white slices. When the wheel is spun, the arrow stops on a slice at random. If the arrow stops on the border of two slices, the wheel is spun again. (a) If the arrow stops on a black slice, then Brian wins a gift card. Find the odds against Brian winning a gift card.​

Answers

The probability against Brian winning a gift card are approximately 3.118 to 1.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event happening is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in various fields, such as statistics, finance, science, engineering, and gaming, to make predictions and decisions based on uncertain events.

In the given question,

The probability of the arrow stopping on a black slice is 3/10. Therefore, the probability of the arrow stopping on a non-black slice is 7/10.

If the arrow stops on the border of two slices, the wheel is spun again, so Brian has another chance to win. The probability of the arrow stopping on a non-black slice is 7/10, so the probability of the arrow stopping on a black slice on the second spin is 3/7.

To find the odds against Brian winning a gift card, we first find the probability of him not winning a gift card on either spin:

P(not winning) = P(non-black on first spin) + P(black on first spin and non-black on second spin)

P(not winning) = (7/10) + (3/10) × (4/7)

P(not winning) = 0.7571

The probability of not winning is 0.7571, so the odds against winning are:

Odds against winning = P(not winning) / P(winning)

Odds against winning = 0.7571 / 0.2429

Odds against winning = 3.118

Therefore, the odds against Brian winning a gift card are approximately 3.118 to 1.

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Match the vocabulary terms to the correct definitions.piecewise function

Answers

A piecewise function is a function that has different definitions, based on the interval of the input values of the function.

What is a piecewise function?

A piecewise function is a mathematical function that is defined by different rules over different intervals or subdomains of its domain. These different rules can take on different forms or expressions, allowing the function to behave differently on different parts of its domain.

Hence one example of a piecewise function is the absolute value function, which is defined as follows, depending on the signal of the input:

|x| = x, x ≥ 0.|x| = -x, x < 0.

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A ladder 17 feet long is leaning against a wall. The bottom of the ladder is 8 feet from base of the wall. How far up the wall is the top of the ladder?
Round to the nearest tenth if necessary.

ANSWER IN FEET!!!

Answers

The top of the ladder is 15 feet up the wall.

What is right-angle triangle?

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.

Given that the height of the ladder is 17 feet. The distance between the base of the ladder and the wall is 8 feet.

It forms a right-angle triangle.

The hypotenuse of the triangle is 17 feet and the base is 8 feet.

Apply Pythagorean theorem:

Altitude² = Hypotenouse² - Base²

Altitude² = 17² - 8²

Altitude² = 289 - 64

Altitude² = 225

Take square root on both sides:

Altitude = ± 15

Since height can't be a negative number, Altitude =  15 feet.

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I will mark you brainiest!

To prove a polygon is a rectangle, which of the properties listed must be included in the proof?

A) All side lengths are equal.
B) Diagonals are perpendicular bisectors.
C) Opposite pairs of angles are supplementary.
D) All interior angles are right angles.

Answers

Answer:

Step-by-step explanation:

D) All interior angles are right angles.

To prove that a polygon is a rectangle, you must show that all of its interior angles are right angles. The other properties listed may be true for certain types of rectangles, but they are not sufficient to prove that a polygon is a rectangle.

60 people plan to attend the dance and each person will eat 2 slices of cake. If each cake contains 8 slices, how many cakes should you order?

Answers

Answer: 15 Cakes

Step-by-step explanation:

2 slices per person, and 8 slices in 1 cake means that 4 people can share 1 cake.

So, you would do the amount of people (60) divided by the number of people that can eat 1 cake (4) to end up with ordering 15 cakes

the length of a rectangle is 8in. more than 11 times the width. The perimeter of the rectangle is 184 inches. Find the measure of the length and width of the rectangle.

Answers

Considering the definition of perimeter, the length and width of the rectangle is 85 in and 7 in respectively.

Definition of perimeter

The perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.

The perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure.

Perimeter of a rectangle

A rectangle is a geometric figure that has two pairs of sides of equal length. The expression to calculate the perimeter of a rectangle is:

Perimeter= 2× length + 2× width

Length and width of the rectangle

In this case, you know

The length of a rectangle is 8 in. more than 11 times the width. → lenght= 11×width + 8The perimeter of the rectangle is 184 inches

Replacing in the definition of the perimeter of the rectangle:

184= 2× (11×width + 8) + 2× width

Solving:

184= 2×11×width + 2×8 + 2× width

184= 22×width + 16 + 2× width

184 - 16= 22×width + 2× width

168= 24×width

168÷ 24= width

7 in= width

So, the length can be calculated as:

lenght= 11×7 in + 8 in

lenght= 85 in

Finally, the length of the rectangle is 85 in and the width of the rectangle is 7 in.

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What percent of the customers purchased fewer than 6 flowers

Answers

Finding the percentage of consumers who bought fewer than six flowers requires figuring out what proportion of the data is below six.  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

What is the parameter for calculating percent?

Based on the box plot, we can see that the minimum value is 2, and the maximum value is 12. The box plot also shows that the median (50th percentile) is between 6 and 8.

To find the percent of customers who purchased fewer than 6 flowers, we need to determine what percent of the data is below 6.

From the box plot, we can see that the lower quartile (25th percentile) is at 2, and the upper quartile (75th percentile) is at 10.

Therefore, the interquartile range (IQR) is   [tex]10 - 2 = 8.[/tex]

To find the percentage of customers who purchased fewer than 6 flowers, we need to find the percentile rank of 6.

Percentile rank = ((value below target) / (total values)) x 100

Percentile rank of   [tex]6 = ((2 / 5) \times 100) = 40[/tex]%

Therefore,  [tex]40[/tex] % of customers purchased fewer than 6 flowers.

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The given question is incomplete. the complete question is given below.

Rodrigo works at a flower shop. He recorded how many flowers each customer purchased

yesterday. This box plot shows the results.

Flowers purchased

++

2

6

8

10

12

What percent of the customers purchased fewer than 6 flowers?

%

help me graph this pls​

Answers

The frisbee would spend 2.62 seconds in air before touching ground.

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.

Let h represent the height of the frisbee after t seconds.

h = -16t² + 40t + 5

The time the Frisbee is in air is at h = 0, hence:

-16t² + 40t + 5 = 0

t = 2.62 seconds

The frisbee would spend 2.62 seconds in air

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a) Note that given the above function the height of the Frisbee each second it is in the air are:

t=1; h=29 feett=2; h = 21 feett =3; h = -19

b) The frisbee lasts  t [tex]\approx[/tex] 2.6 (s) in the air.

What is the justification for the above response?

Recall that the function given is -16t² + 40t + 5
t=0; and h = 5

a)
Where t is 1
h = -16t² + 40t + 5

h= -16(1)² + 40(1) + 5

h= -16 + 40 + 5

h= 24 + 5

h= 29, thus, where = 1, h = 29


Using a similar sequence above, where t is
t=2; h = 21 feet; and where

t =3; h = -19



b) in this case, we must set h(t) = 0

⇒ -16t² + 40t + 5 = 0
To solve for t in the equation -16t² + 40t + 5 = 0, we can use the quadratic formula:

t = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation.

In this case, a = -16, b = 40, and c = 5, so substituting these values into the quadratic formula, we get:

t = (-40 ± √(40² - 4(-16)(5))) / 2(-16)

Simplifying:

t = (-40 ± √(1600 + 320)) / (-32)

t = (-40 ± √(1920)) / (-32)

t = (-40 ± 8 √(30)) / (-32)

t = (5/4) ± (√(30)/4)

Thus we have:

t = (5/4) + (√(30)/4) or t = (5/4) - (√(30)/4)

t₁ = 1.25 + (5.477225575051661134569697828008/4) or
t₂ = 1.25 - (5.477225575051661134569697828008/4)

t₁ = 1.25 + 1.369306393762915283642424457002
t₁ [tex]\approx[/tex] 2.6

t₂ = 1.25 - 1.369306393762915283642424457002

t₂ [tex]\approx[/tex] -0.119

Thus the Frisbee lasts approximatley 2.6 seconds in the air.

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What is the outlier in the set of data below:

12, 8, 15, 45, 7, 13

a
7
b
8
c
15
d
45

Answers

Answer:

D

Step-by-step explanation:

Classifying a Parallelagram

Answers

The values are, ∠BCA = 65°, ∠B = 72°,  x = 3

Define the term parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given that the diagram ABCD is a parallelogram,

So, BC = AD   (parallel sides are equal)

      2x = 6

       x = 3

BC ║ AD and AC is a transversal line,

then, ∠BCA = ∠DAC    (alternate interior angle)

∠BCA = 65°

Opposite angles are equal for parallelogram then,

∠B = ∠D

∠B = 72°

Therefore, the values are, ∠BCA = 65°, ∠B = 72°,  x = 3

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How many 2-digit numbers contain the digit 7 only once

Answers

Answer:

18

Step-by-step explanation:

Counting:

07 17 27 37 47 57 67 70 71 72 73 74 75 76 78 79 87 97


notice we can ALSO use variation with no repetition equation with n=9 (numbers from 0 to 10) and p=1 (two digits) but the value can be in the first position or the second position

[tex]\frac{9!}{(9-8)!}[/tex] +  [tex]\frac{9!}{(9-8)!}[/tex][tex]=9+9=18[/tex]

The port hole in the side of a ship is in the
shape of a circle with a 2 foot diameter.
The top of the port hole is 6 feet below
the surface of the water and the density of
the water is 62.4 pounds per cubic foot.
Find the total force on this port hole due
to liquid pressure, accurate to the nearest
whole number.
[?] pounds

Answers

Answer:

the total force on the port hole due to liquid pressure is approximately 7400 pounds.

Step-by-step explanation:

The area of the circle is A = πr^2, where r = d/2 = 1 foot is the radius of the circle. So, the area is A = π(1 ft)^2 = π ft^2.

The port hole is submerged in water, with a height of 6 feet. The pressure of water at a depth of h feet is given by the formula P = ρgh, where ρ = 62.4 lb/ft^3 is the density of water, and g = 32.2 ft/s^2 is the acceleration due to gravity.

The total force on the port hole due to liquid pressure is the product of the pressure and the area of the circle, so we have:

F = P × A = ρgh × A = 62.4 lb/ft^3 × 32.2 ft/s^2 × 6 ft × π ft^2 ≈ 7400 lb

Therefore, the total force on the port hole due to liquid pressure is approximately 7400 pounds.

Answer: 578490-=356478e

Step-by-step explanation:

part of a circle is 75849=n so we use all the equations so 56748=4 we know the answer by the book page 356 then on chemestry rules.

question is in the picture . please help me ​

Answers

Answer:

C  m∠A + m∠B = 180°

Step-by-step explanation:

Because angle A and angle B are inscribed angles on the diameter they are half of 180° which is 90°

When both of these angles are added they equal 180°

Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?

Answers

The pair of equations that can be used to find x and y are:

x + y = 62

(1.02)x = 7

What are the pair of equations?

The form of the pair of equations would be:

hours worked last week + hours worked this week = total hours worked both weeks equation 1

(1 + percent increase/100) x hours worked last week = hours worked this week equation 2

x + y = 62 equation 1

(1 + 20/100) ×x = y

(1.02)x = 7 equation 2

The two equations can be solved using either of these three methods:

elimination method substitution method graph method

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Is y= |x| + 4 a relation or function

Answers

Answer: probably a function

Step-by-step explanation:

A right triangle has side lengths….

Answers

Answer:

sin x = d/e, cos x = f/e, tan x = d/f

Step-by-step explanation:

We will use trigonometry and SOH CAH TOA for this problem.

sin x = (opposite/ hypotenuse)

sin x = d/e

cos x = (adjacent / hypotenuse)

cos x = f/e

tan x = (opposite/adjacent)

tan x = d/f

Ayudaaaaa no sé cuando vaya a venir a revisar estoooolo

Answers

huh um intentaría ayudar pero no tiene mucho sentido lo siento

An open rectangular box is to be constructed by cutting square corners out of a 16​- by 16​- inch piece of cardboard and folding up the flaps. A box formed this way is shown on the right. Find the value of x for which the volume of the box will be as large as possible.

Answers

Answer:

the value of x for which the volume of the box will be as large as possible is approximately 2.67 inches.

Step-by-step explanation:

Let x be the length of the side of the squares that are cut out of the corners of the cardboard. Then the dimensions of the base of the rectangular box will be:

Length = 16 - 2x (since two squares of side x are cut out of each end of the 16-inch length)

Width = 16 - 2x (since two squares of side x are cut out of each end of the 16-inch width)

The height of the box will be x, since that is the height of the squares that were cut out.

The volume of the box can be expressed as:

V = Length × Width × Height

V = (16 - 2x) × (16 - 2x) × x

V = 4x^3 - 64x^2 + 256x

To find the value of x that maximizes the volume of the box, we can take the derivative of V with respect to x and set it equal to zero:

dV/dx = 12x^2 - 128x + 256 = 0

We can solve this quadratic equation for x using the quadratic formula:

x = [128 ± sqrt(128^2 - 4 × 12 × 256)] / (2 × 12)

x = [128 ± sqrt(16384)] / 24

x = [128 ± 128] / 24

x = 10.67 or x = 2.67

Since x represents the length of a side of a square, it must be non-negative. Therefore, the only valid solution is x = 2.67 inches.

So, the value of x for which the volume of the box will be as large as possible is approximately 2.67 inches.

Answer: Let x be the side length of the square corners that are cut out of the cardboard. Then the dimensions of the base of the box (after the corners have been cut out and the flaps folded up) are 16-2x by 16-2x, and the height of the box is x.

The volume V of the box is given by:

V = (16-2x)(16-2x)(x)

Expanding this expression gives:

V = 4x^3 - 64x^2 + 256x

To find the value of x that maximizes V, we can take the derivative of V with respect to x and set it equal to zero:

dV/dx = 12x^2 - 128x + 256 = 0

Dividing both sides by 4 gives:

3x^2 - 32x + 64 = 0

This quadratic equation can be factored as:

(3x - 16)(x - 4) = 0

So the solutions are x = 16/3 and x = 4.

Since x must be less than half of 16 (the side length of the cardboard), we can reject x = 16/3. Therefore, the value of x that maximizes the volume of the box is x = 4 inches.

Step-by-step explanation:

Susie is three times as older as her sister Jenny. Paula is 7 years younger
than Jenny.

Write an expression in simplest form that represents the sum of their ages.

Answers

 P - 7 = J is an expression in simplest form that represents the sum of their ages.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                               Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression.

Susie is three times as older as her sister Jenny.

     3S = J

Paula is 7 years younger than Jenny.

        P - 7 = J

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Holly opened a savings account at a local bank. She deposited $1,300.00 into the account 6 years ago. If the account earns an annual simple interest rate of 6.8%, how much interest has she earned?

Answers

Answer:

Interest = $530.4

Step-by-step explanation:

We know:

Interest = Principal x Rate x Time

First, put in the numbers:

Interest = $1,300 x 6.8% x 6 years

Interest = $1,300 x [tex]\frac{6.8}{100}[/tex] x 6 years

Interest = $13 x 6.8 x 6 years

Interest = $88.4 x 6

Interest = $530.4

classifying parallelograms

Answers

The values are, ∠Q = 96°, x = 1, ∠QTR = 47°

Define the term parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. As a result, a parallelogram's opposite sides are parallel and congruent in length, and its opposite angles are similarly congruent.

Given that the diagram QRST is a parallelogram then the parallel sides and angles are equal.

So, ∠Q = ∠S   (Equal angles)

      ∠Q = 96°

and, QT = RS   (Equal parallel sides)

     6x = 6

      x = 1

Co-interior angle of figure, RS║QT and ST is a transversal line,

So, ∠RST + ∠STQ = 180°    

96° + 37° + ∠QTR = 180°                (here ∠STQ = 37° + ∠QTR)

∠QTR = 180° - 133°

∠QTR = 47°

Therefore, The values are, ∠Q = 96°, x = 1, ∠QTR = 47°

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Mary, Nick, Jane have 60$ altogether.
Mary has a fourth part and Nick has a fifth.

HOW MUCH MONEY DOES JANE HAVE??

Answers

Mary has 60/4 = 15$

Nick has 60/5 = 12$

The total amount of money that Mary and Nick have is 15$+12$ = 27$

To find out how much money Jane has, we need to subtract the total amount that Mary and Nick have from the total amount of money they have altogether:

60$ - 27$ = 33$

Therefore, Jane has 33$.

Answer: $33

Step-by-step explanation:

1/5 of $60 is 12. 1/4 of $60 is 15. 15 + 12 = 27. To find out how much money Jane has, simply subtract 60 - 27 to get $33.

3984 is what percent of 24.9?

Answers

Answer:

percentage = (part/whole) x 100%

where "part" is the value we are trying to express as a percentage of "whole". In this case, "part" is 3984 and "whole" is 24.9.

So we can substitute these values into the formula:

percentage = (3984/24.9) x 100%

percentage = 159.838% (rounded to three decimal places)

Therefore, 3984 is approximately 159.838% of 24.9.

Answer:

3984 is 16,000% of 24.9

Step-by-step explanation:

percentage = (3984÷24.9) x 100%

percentage = 159.838%

or percentage ≈ 16,000%

In triangle ABC, let the angle bisectors be BY and Cz. Given AB = 8, $AY = 6, and CY = 3, find BZ and BC.

Answers

Therefore , the solution of the given problem of triangle comes out to be  BZ = (8/9) * BC = 40/9 as a result.

Exactly what is a triangle?

Due to its two or more extra sections, a trapezoid is a polygon. Its shape is a simple rectangle. Only the three edges A, B, but instead C distinguish a triangle from a regular triangle. Euclidean geometry produces a singular area rather than a cube when the borders are not perfectly collinear. Triangular shapes are defined as having three sides and three angles. Angles are formed by the meeting of a quadrilateral's 3 sides.

Here,

Let D represent the intersection of the angle bisector BY and the side AC, and let E represent the intersection of the angle bisector CZ and the side AB.

=>BC² = AB² + AC² - 2AB * AC * cos(BAC)

However, since BY and CZ are angle bisectors, we can calculate BAC as follows:

=> BC² = 8² + 9² - 2(8)(9)cos[(180° - (ABC + ACB))/2]

If we simplify, we get:

=> BC² = 145 - 144cos[(ABC + ACB)/2]

Using the angle bisector theory once more, we have the following:

=> AD/DC = 8/BC

=> DC = BC(AD/8)

Simplifying and substituting into the Law of Cosines equation yields:

=> BC² = 145 - 144cos[(ABC + ACB)/2]

=>  145 - 144cos[(180° - BAC)/2]

=> 145 - 144cos(B/2)

in which B Equals ABC.

We can now replace the value of BZ that we discovered earlier with:

=> BZ = (8/9) * BC

and solve for BC:

=> BC² = 145 - 144cos(B/2)

=>  (9/8)² * (145 - 144cos(B/2)) + (8/9)² * BZ²

Simplifying and substituting BZ results in:

BC² = 25

Since BC is a length, we obtain: by taking the positive square root.

=> BC = 5

=> BZ = (8/9) * BC = 40/9 as a result.

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Select the correct answer. Consider functions f and g. The picture shows a one-to-one function diagram. x has values of 1, 2, 3, and 4, and g of x has values of minus 1, minus 2, minus 4, and minus 8. Every x value has a relation in g of x. What is the value of x when (f o g)(x)= -8? A. -4 B. 0 C. 3 D. 4

Answers

The question is in clear sorry

You take a random token from a bag that contains 8​ red, 7​ green, and 4​ blue tokens. Let R​ be the set of red tokens, G​ green tokens, and B​ blue tokens.

What is the probability that your token is not in G​​? Enter your answer as an unsimplified fraction.

Answers

Answer:If my calculations are right it should be 18

Step-by-step explanation:

What fraction does each person get if 8 friends share 5 apples equally?

Answers

Answer:

.625

Step-by-step explanation: calculator

Explanation: There are 8 friends and you need to chop up 5 apples. The 5 apples will be divided by 8, which comes as an answer of 58th of an apple.

What is the ratio of the amount spent on staff salaries to the total budget for the youth programs?

1:10
1:8
1:5
1:4
1:2

Answers

Answer:1:2

Step-by-step explanation:

Calculate the volume of a prism with:

L = 9 in

W = 1 ¹⁄ ³ in.

H = 4 ²⁄ ³ in.

Select one:

A.
56 in³


B.
52 in³


C.
54 in³

Answers

Answer:

The volume of the prism is 54 in³.

This can be calculated by multiplying the length by the width by the height.

Which comes out to 9 in x 1 ¹⁄ ³ in x 4 ²⁄ ³ in = 54 in³.

Consider the functions f and g.

Which statement is true about these functions ?

Answers

The correct statement regarding the average rate of change of the functions f(x) and g(x) on the interval [-2,2] is given as follows:

Over the interval [-2,2], the function f is increasing at a faster rate than function g is decreasing.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

For the function f(x), the numeric values at x = -2 and x = 2 are given as follows:

f(-2) = (-2)³ + 5(-2)² - (-2) = 14.f(2) = (2)³ + 5(2)² - 2 = 26.

Hence the rate is of:

(26 - 14)/(2 - (-2)) = 12/4 = 3. -> positive rate -> increasing.

For function g(x), the rate is given as follows:

(-16 - 4)/4 = -5.

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Evaluate the given expression and show the steps, please. In The time of the butterflies how does suspense contribute to the characterization of Trujillo? Work out the circumference of a circle with radius 7.5 cm. Take to be 3:142 When there is a surplus of food, A. extra food spoils. B. people wait in line for food. C. families have extra food. D. not enough rain falls to grow food. define power of a lens. the focal length of a lens is -10 cm. write the nature of the lens and find its power. if an object is placed at a distance of 20cm from the optical centre of this lens, according to the New Cartesian Sign Convention, what will be the sign of magnification in this case despite the obvious difference in purchasing behavior, uses, andsizes of transaction in marketing to businesses and marketing toconsumer segmentation can be used for B2B and B2C. true or false HELPP!! WHOEVER ANSWER FIRST GETS POINTSC2 - Defending Freedom, Defining Freedom: The Era of Segregation, 1876-1968 "Building National Institutions, 1900-1917 Choose one of the ways that African Americans worked to build community in this time. g(x)=4x-(3x+7x/3) Find the slope and y=intercept. Express the intercept as an ordered pair. Simplify your answer. A company just issued $287000 of perpetual 10% debt and used the proceeds to repurchase stock. The company expects to generate 118000 of EBIT in perpetuity. The company distributes all its earnings as dividends at the end of each year. The firms unlevered cost of capital is 15% and the tax rate is 40%. Use APV method to calculate the value of the company with leverage. If a central air conditioner (at its highest wattage) runs for 8 hours, how much energy is used?A)4 kwhB)8 kwhC) 32 kwhD)60 kwh a balloon with an internal pressure of 300. torr rises to a height of 30,000 feet, where the pressure is 15. torr. assuming temperature remains constant, by what ratio did the volume change? how are mutation and sexual reproduction involved in creating and maintaining variation in a population Write a story ending with the statement we forgot about the past and become friends once again By applying SAS congruence rule, you want to establish that triangle PQR =~ triangle KLM. It is given that PQ = KL and RP = MK. What additional information is needed to establish the congruence? What is the optimum pH for stomach protease? A pH2 B pH7 C pH9 D pH12 Unlike Pericles who was addressing family of those killed in the early battles of the Peloponnesian War, President Lincoln used the Gettysburg Address to dedicate a national cemetery, where over 51,000 Americans were killed, wounded, or missing in one of the deadliest battles of the American Civil War. Lincoln said, "The world will little note, nor long remember what we say here, but it can never forget what they did here. It is for us the living, rather, to be dedicated here to the unfinished work which they who fought here have thus far so nobly advanced. It is rather for us to be here dedicated to the great task remaining before usthat from these honored dead we take increased devotion to that cause for which they gave the last full measure of devotionthat we here highly resolve that these dead shall not have died in vainthat this nation, under God, shall have a new birth of freedomand that government of the people, by the people, for the people, shall not perish from the earth." Based on the excerpt above, what can you infer, or conclude, as to what Lincoln's goal was with this speech? What did he want people to do? Respond in 2-3 sentences. Sample spaces for compound eventsYou're ordering a one-topping pizza. You can choose from 3 different toppings and 2 types of crust. If you randomly pick the topping and crust, which of these tables lists all possible outcomes? (Each rowrepresents one outcome. )Choose all answers that apply:Table A Compute the voltage drop if the source voltage is 240V and the load voltage is 237V. A box of mass 32.0 kg slides to the right across a horizontal surface with a coefficient of kinetic friction 0.50 while being pulled horizontally by a 750.0 N force. What is the acceleration of the box? Make sure your answer is in MKS units. By the early 20th century, which Asian nation was the most powerful?