I need to know this for math the clay they shown is shaped like a rectangular prism with a hole inside that is shaped like a smaller rectangle prism I need this right now please help me I will give you a lot of points and extra if you answered

I Need To Know This For Math The Clay They Shown Is Shaped Like A Rectangular Prism With A Hole Inside

Answers

Answer 1

The volume of the clay used to make the vase is 36 in³

How to determine the volume

To determine the volume of clay that was used for the vase, we need to consider that;

The formula for the volume of a rectangular prism is expressed as;

Volume = lwh

Such that;

V is the volume of the prism.l is the length of the rectangular prism.w is the width of the rectangular prism.h is the height of the rectangular prism.

For the bigger prism, we have;

Volume = 3 × 3 × 5

Multiply the values

Volume = 45 in³

For the hole, we have;

Volume = 4 × 3/2 × 3/2

Multiply the values

Volume = 9 in³

Then, the volume of clay used for the vase = 45 - 9 = 36 in³

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Related Questions

the set of five number each of which is divisible by 3

Answers

Answer:

{3, 6, 9, 12, 15}

Each of these numbers is divisible by 3

Step-by-step explanation:

use compass and ruler to contruct bisector of the angle

Answers

Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.

Here, we have,

The next steps show you how to construct the bisector of the angle from a ruler and a compass.

Draw an arc using the vertex of the angle (O) as the center;

Mark the points A and B;

Draw an arc using the point (A) as the center;

Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step.

Draw a line connecting the point C to the vertex O.

Finally, you have the bisector of the angle that is represented by the green line.

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Please if you know the answer put the steps on thank you.

Answers

Answer:

1. # of people who predicted they would pass = 30

2. # of people who predicted they would fail = 20

3. # of people who predicted they would pass and actually passed = 27

4. # of people who predicted they would pass and actually failed = 3

5. # of people who predicted they would fail and actually passed = 11

6. # of people who predicted they would fail and actually failed = 9

Step-by-step explanation:

1. # of people who predicted they would

The total number of people who took the test is 50.The number of people who predicted they would pass is 30.The number of people who predicted they would fail is 20 (since 50 - 30 = 20)Let x be the number of people who predicted fail and actually passed the test. Since three times as many people who passed predicted pass than predicted fail, we know that 3x is the number of people who predicted pass and actually passed the test. Therefore, the total number of people who passed the test is x + 3x = 4x, and we know that 36 people passed the test, so 4x = 36, and x = 9.Since x is the number of people who predicted fail and actually passed the test, then the number of people who predicted fail and actually failed the test is 20 - x = 20 - 9 = 11.The number of people who predicted pass and actually passed the test is 3x = 3(9) = 27.The number of people who predicted pass and actually failed the test is 30 - 27 = 3.

I also filled in the frequency table by extracting it from Brainly and drawing on it to show how the math works and fits in the table.

Does the infinite geometric series diverge or converge?
1/5 + 1/10 + 1/20 +1/40 + …

Answers

Answer:

the answer is C

Step-by-step explanation:

the answer is C it converges

Can you help me with this question?

Answers

Answer:

C

Step-by-step explanation:

It mentions that they charge 1.20 per kg of lettuce

In how many distinct ways can the digits in the number 2,563,183,083 be arranged?
(If there are any zero digits then assume they can be placed in any position)

Answers

There are 10 digits in the number 2,563,183,083. If we ignore the fact that there are three occurrences of the digit 3 and two occurrences of the digit 8, then there would be 10! = 3,628,800 distinct ways to arrange the digits.

However, we need to account for the fact that three of the digits are 3s and two of the digits are 8s. To do this, we need to divide out the number of arrangements of those duplicates.

There are 3! = 6 ways to arrange the three 3s among themselves, and 2! = 2 ways to arrange the two 8s among themselves. So, we divide the total number of arrangements by these permutations of the duplicates:

10! / (3! * 2!) = 10 x 9 x 8 x 7 x 6 x 5 x 4 = 604,800

Therefore, there are 604,800 distinct ways to arrange the digits in the number 2,563,183,083, assuming that any zero digits can be placed in any position.

Find the value of x.

Answers

The value of x in the chord is 3 units.

How to find line segment when chord intersect?

The chord intersection theorem states that the products of the lengths of the line segments on each chord are equal.

Therefore,

6(x + 5) = 4(2x + 6)

Open the brackets

6x + 30 = 8x + 24

subtract 8x from both sides of the equation

6x - 8x + 30 = 24

-2x + 30 = 24

subtract 30 from both sides of the equation'

-2x + 30 - 30 = 24 - 30

-2x = -6

divide both sides by -2

x = -6 / 2

x = 3

Therefore,

x = 3

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If x=3t+t^2 and y=7−2t, find an equation y=mx+b of the tangent to the curve at t=2.
m=
b=

Answers

The values of m and b after evaluation is -2 and 23 under the condition that If x=3t+t² and y=7−2t, and  tangent to the curve at t=2.

In orde to evaluate the equation of the tangent to the curve at t=2, we have to calculate the slope of the curve at t=2.
The slope of the curve at t=2 is presented by the derivative of y with respect to x at t=2.
y = 7 - 2t
x = 3t + t²
dy/dx = -2
Then, the slope of the tangent to the curve at t=2 is -2.
Now we have to evaluate the point on the curve at t=2.
x = 3(2) + (2)² = 10
y = 7 - 2(2) = 3
So, the point on the curve at t=2 is (10,3).
Applying  point-slope form of equation of line:
y - y₁ = m(x -x₁)
Here,
m = slope and (x₁,y1) is a point on the line.
Staging m=-2 and (x₁,y₁)=(10,3),
y - 3 = -2(x - 10)
Applying simplification
y = -2x + 23
Then, the equation of the tangent to the curve at t=2 is y=-2x+23.
So, m=-2 and b=23.
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Every weekend, Camilla teaches ice skating lessons at a nearby ice rink. She earns $12 for a
30-minute lesson.
Complete the table.
Minutes taught
30
Money earned ($) 12
Graph the data from the table.
60
90 120

Answers

Next, using the matching x and y values for each row of the table, we can place a point for each row and connect it to the other points using a line.

what is line ?

A line represents a one-dimensional straight figure that can go on forever in both directions in geometry. To separate it from a curved or an angle-filled line, it is frequently referred to as a "straight line." Two points on a line define the line, while every other position on the line may be discovered by tracing the line through the two defined points. A line can be made with a pencils or another non-thick tool, and it can have any width or depth. Shape and figures are described and analysed using lines, which are a basic building block of geometry.

given

Minutes Taught Dollars Earned (30, 12, 60, 24)

90 36

120 48

We may plot the minutes taught on the x-axis and the money made on the y-axis to graph the data from the table.

Next, using the matching x and y values for each row of the table, we can place a point for each row and connect it to the other points using a line.

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Select all the correct answers.
If the measure of angle is which statements are true?
sin (0) = -
The measure of the reference angle is 30°.
cos (0) = √3
The measure of the reference angle is 45°.
tan (0) = -√3
The measure of the reference angle is 60°.

Answers

The measures of the trigonometric relations and reference angles are solved

Given data ,

Let the measure of the angle be θ = 2π/3

Now , from the trigonometric relation ,

The tangent of the function tan ( 2π/3 ) = -√3

And , the reference angle of the θ = 2π/3  is given by A = π/3

So , A = 60°

Hence , the reference angle is 60°

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Factor the expression. x^2-12x-45

Answers

Answer:

(x + 3)(x - 15)

Step-by-step explanation:

To factor the expression x^2 - 12x - 45, we need to find two numbers that multiply to -45 and add to -12. Let's use the method of decomposition to find these two numbers:

x^2 - 12x - 45

We need to find two numbers that multiply to -45 and add to -12. Let's try -15 and 3:

x^2 - 12x - 45 = x^2 - 15x + 3x - 45

Now we can group the first two terms and the last two terms:

x^2 - 15x + 3x - 45 = x(x - 15) + 3(x - 15)

We can see that both terms have a common factor of (x - 15), so we can factor this out:

x(x - 15) + 3(x - 15) = (x + 3)(x - 15)

Therefore, the expression x^2 - 12x - 45 can be factored as (x + 3)(x - 15).

Refer to the attachment ^-^

Hope Helpful ~

What is 15% of 100

Please help

Answers

Answer:

Step-by-step explanation:15

15.

Best way to think about it 1% of 100 is 1. So 2% is 2 and so on so forth.

I will give brainlyest

Determine if the relationship between x and y is linear or not linear. Explain.​

Answers

Answer:  To determine if the relationship between x and y is linear, we need to graph the data and look for a straight-line pattern.

If the graph shows a straight-line pattern, then the relationship is linear. If the graph shows a curve or a non-linear pattern, then the relationship is not linear. So it is linear

Step-by-step explanation: can i get brainliest :D

2. Although Kevin has money, he is not spending it.
Complex or compound -complex

Answers

Answer:

complex

Step-by-step explanation:

The given sentence "Although Kevin has money, he is not spending it." is a complex sentence.

This is because it contains one independent clause, "he is not spending it," which can stand alone as a complete sentence. The other part of the sentence, "Although Kevin has money," is a dependent clause because it cannot stand alone as a complete sentence.

The dependent clause "Although Kevin has money" introduces a contrast or concession to the independent clause that follows it. Therefore, this sentence is an example of a complex sentence that uses a dependent clause to add meaning and complexity to the independent clause.

‼️‼️‼️WILL MARK BRAINLIEST IF HELPFUL‼️‼️‼️

Answers

Answer:

S = 2π(10^2) + 2π(10)(3)

= (200 + 60)π = 260π cm^2

So 250 cm^2 is not a reasonable answer for the surface area of this cylinder.

Which equation can be used to solve for x

Answers

Answer:

  (a)  7(x +3.5x) = 56

Step-by-step explanation:

You want an equation to solve for x, the length of a morning run, if the evening run is 3.5 times as long, and these runs total 56 miles when done every day of the week.

Daily run

The morning run is given as x.

The evening run is 3.5 times as long, so is 3.5x

The total mileage each day is (x +3.5x).

Weekly total

In 7 days, the mileage will be 7 times the daily mileage. That total is given as 56 miles:

  7(x +3.5x) = 56

The diagonal of a square is 32 cm. What is the length of one side of the square rounded to the nearest tenth?

Answers

The length of the square with a diagonal of 32 cm is 22.6 cm.

What is a square?

A square is a plane shape with all sides and angles equal.

To calculate the length of the square from its diagonal, we use Pythagoras formula

Formula:

d² = l²+l².................... Equation 1

Where:

d = Diagonal of the squarel = length of the square

From the question,

Given:

d = 32 cm

Substitute these values into equation 1 and solve for l

32² = l²+l²1024 = 2l²l² = 1024/2l² = 512l = √512l = 22.6 cm

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Prove the following this : Let H be a subgroup of a group G . The left cosets of H constitute a partition of G ; the right cosets of H constitute a partition of G ?

Answers

To prove that the left cosets of H constitute a partition of G, we need to show that they satisfy two conditions:

1) Each element of G belongs to some left coset of H.

2) Any two distinct left cosets of H are disjoint.

Let g be any element of G. Then, by definition of a left coset, there exists an element h of H such that g = h·x for some x in G. Therefore, g belongs to the left coset H·x. Since this holds for any element g of G, we have shown that the left cosets of H cover all of G, satisfying the first condition.

Now, let H·x and H·y be two distinct left cosets of H. Suppose there exists an element z in both H·x and H·y.

Then, z = [tex]h_{1}[/tex]·x = [tex]h_{2}[/tex]·y for some [tex]h_{1}[/tex], [tex]h_{2}[/tex] in H.

Solving for x,

x = [tex]h_{1}^{-1}[/tex]· [tex]h_{2}[/tex] · y.

Since H is a subgroup, [tex]h_{1}^{-1}[/tex]· [tex]h_{2}[/tex] is also in H, and therefore x belongs to H·y.

Thus, H·x is contained entirely in H·y, and the two cosets cannot intersect.

This satisfies the second condition, and hence the left cosets of H constitute a partition of G.

A similar argument can be used to show that the right cosets of H also constitute a partition of G. This completes the proof.

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A scale drawing of a square has a sidle length of 9 inches. The drawing has a scale of 1 in. : 7 mi. Find the actual permitted and area of the square

Answers

Answer: To find the actual perimeter and area of the square, we need to use the scale given in the problem, which is 1 inch on the drawing represents 7 miles in real life.

The side length of the square on the drawing is 9 inches, so in real life, the side length would be:

9 inches x 7 miles/inch = 63 miles

Therefore, the actual perimeter of the square would be:

4 x 63 miles = 252 miles

To find the actual area of the square, we can use the formula:

area = side length x side length

In this case, the side length is 63 miles, so:

area = 63 miles x 63 miles = 3,969 square miles

So the actual perimeter of the square is 252 miles, and the actual area of the square is 3,969 square miles.

Step-by-step explanation:  can i get brainliest :D

simplify the following:

Answers

Answer:

[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]

Step-by-step explanation:

Simplify

[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}[/tex]

The first-level numerator is
[tex]\dfrac{16}{x-4}-\dfrac{4}{x-2}\\\\\\= \dfrac{16(x-4) - 4(x - 2)}{(x-2)(x-4)}\\\\\\= \dfrac{16x -64 - 4x + 8}{(x-2)(x-4)}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)}[/tex]

The first-level denominator is
[tex]\dfrac{16}{x}-\dfrac{x-4}{x-2}\\\\\\= \dfrac{16(x-2) - x(x-4)}{x(x-2)}\\\\\\\\= \dfrac{16x - 32 -x^2 +4x}{x(x-2)}[/tex]

[tex]= \dfrac{-x^2+20x-32}{x\left(x-2\right)}[/tex]

Therefore
[tex]\dfrac{\dfrac{16}{x-2}-\dfrac{4}{x-4}}{\dfrac{16}{x}-\dfrac{x-4}{x-2}}\\\\\\= \dfrac{12x -56}{(x-2)(x-4)} \div\dfrac{-x^2+20x-32}{x\left(x-2\right)} \\\\\\[/tex]

Use the fraction rule: [tex]\dfrac{a}{b} \div \dfrac{d}{c} = \dfrac{a}{b} \cdot \dfrac{d}{c}[/tex]

[tex]= \dfrac{12x -56}{(x-2)(x-4)} \cdot \dfrac{x(x-2)}{-x^2 +20x -32}}[/tex]

The (x-2) term cancels out resulting in:
[tex]\dfrac{\left(12x-56\right)x}{\left(x-4\right)\left(-x^2+20x-32\right)}[/tex]

Find the horizontal asymptotes and vertical asymptotes of the function [tex]k(x)= \frac{3x^{2} }{(x+1)(x-4)}[/tex]

Answers

the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

what is  vertical asymptotes  ?

Vertical asymptotes are vertical lines on a graph where a function approaches infinity or negative infinity as the input (x) approaches a certain value. In other words, vertical asymptotes occur when the denominator of a function becomes zero and the function is undefined at that point

In the given question,

To find the horizontal and vertical asymptotes of the function f(x) = 3x²/[(x+1)(x-4)], we need to analyze the behavior of the function as x approaches infinity or negative infinity and as x approaches the vertical asymptotes (if any).

Vertical asymptotes occur at the values of x that make the denominator of the fraction equal to zero. In this case, we have vertical asymptotes at x = -1 and x = 4.

To find the horizontal asymptote, we need to divide the leading term of the numerator by the leading term of the denominator when x approaches infinity or negative infinity. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. However, we can use long division or synthetic division to write the function in the form of a polynomial plus a proper fraction:

f(x) = 3x²/[(x+1)(x-4)] = (3x + 15)/(x² - 3x - 4)

As x approaches infinity or negative infinity, the fraction approaches the value of 3/1 (the ratio of the leading terms of the numerator and denominator), but there is no horizontal asymptote.

Therefore, the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.

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Write a word problem to match -2.75>x

Answers

A word problem that matches the inequality -2.75 > x is:

John has a balance of $25 in his bank account and wants to withdraw some money and he needs to withdraw at least x dollars, but not more than $2.75.

How to write a word problem to match -2.75>x?

A word problem that matches the inequality -2.75 > x is:

John has a balance of $25 in his bank account and wants to withdraw some money. He needs to withdraw at least x dollars, but not more than $2.75.

What is the largest possible value of x that John can withdraw and still have a positive balance in his account?

In this scenario, the variable x represents the amount that John can withdraw from his account, and the inequality -2.75 > x means that x must be less than -2.75 (i.e., negative and greater in magnitude than 2.75)

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Kyle is buying gifts for Megan's birthday and needs to stay in budget

Cake = half his money + 36.50
Decorations = half of what he had left + 36.50
Sweets = half of what he had left + 18.25

Now he is out of money, what did he start with?

Answers

Answer: Let's start by using algebra to represent the problem.

Let X be the amount of money that Kyle started with.

Then we can create the following equations:

Cake = 0.5X + 36.50Decorations = 0.5(X - Cake) + 36.50Sweets = 0.5(X - Cake - Decorations) + 18.25

And we know that he's out of money, so:

Cake + Decorations + Sweets = XWe can use substitution to solve for X.

Substitute the first equation into the second equation to get:

Decorations = 0.5(X - (0.5X + 36.50)) + 36.50Decorations = 0.25X + 9.25

Substitute the first two equations into the third equation to get:

Sweets = 0.5(X - (0.5X + 36.50) - (0.25X + 9.25)) + 18.25Sweets = 0.25X + 4.75

Substitute all three equations into the fourth equation to get:

(0.5X + 36.50) + (0.25X + 9.25) + (0.25X + 4.75) = X

Simplify and solve for X:

1X + 50.50 = X50.50 = 0.5XX = 101

Therefore, Kyle started with $101.

Find the perimeter of each figure

Answers

The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.

What is a hexagon?

A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.

To calculate the perimeter of this hexagon, we must first identify the length of each side.

All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.

The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get

5 + 4 + 4 + 5 + 3 + 3 = 24.

Thus, the perimeter of the hexagon is 24 inches.

Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.

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Compare these distributions.
Both distributions of exam scores are and there are clear outlier(s) in each distribution of exam scores.
The center of the distribution of exam scores earned by students who completed homework is the center of the distribution of exam scores earned by students who did not complete homework.
The variability in scores of those who completed homework is that of the students who did not complete homework.

Answers

The comparison data is shown below.

Based on the information provided, we can infer that:

Both distributions have outliers.The center of the distribution of exam scores is the same for both groups, meaning that the average score of students who completed homework is the same as the average score of students who did not complete homework.The variability (spread) of exam scores of those who completed homework is the same as the variability of exam scores of those who did not complete homework.

Without more information about the specific data and the context of the study, it is difficult to make further comparisons or draw any conclusions about the relationship between completing homework and exam scores. However, it is interesting to note that completing homework did not seem to have an impact on the average exam score or the variability of exam scores.

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A vending machine is designed to dispense a mean of 7.6 oz of coffee into an 8 oz cup. If the standard deviation of the amount of coffee dispensed is 0.2 oz, and the amount is normally distributed, find the percent of times the machine will dispense from 7.5 oz to 7.9 oz.

Answers

The percentage of time that the machine will dispense from 7. 5 oz to 7. 9 oz is 62.47% of the time.

How to find the percentage ?

Find the Z-scores for both 7. 5 oz and 7. 9 oz :

Z = ( X - μ ) / σ

For 7. 5 oz :

Z = ( 7.5 - 7.6 ) / 0.2

Z = -0. 1 / 0. 2

Z = -0. 5

For 7.9 oz:

Z =  (7. 9 - 7.6 ) / 0.2

Z = 0. 3 / 0. 2

Z = 1. 5

Using the z - values from the table, the percentage of time is:

0.9332 - 0.3085 = 0.6247

= 62. 47 %

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The Soule's live on a corner lot. Often, children cut across
their lot to save walking distance. The diagram to the right
represents the corner lot. The children's path is
represented by a dashed line. Approximate the walking
distance that is saved by cutting across their property
instead of walking around the lot.
...
The walking distance that is saved by cutting across the lot is
feet.
X
15 feet
x+3

Answers

Answer:

The walking distance that is saved by cutting across the lot is approximately 18 feet.

Each container holds 3 L 456 mL of water. How much water is in 206 identical containers?

Answers

Answer:

711 L 936 mL

Step-by-step explanation:

3 L 456 ml times 206=711L 936mL

I hope this helps

the volume of the indian ocean is about 2.1 X 10^17 cubic meters. How many years would it take for the Narmada River to fill the Indian, assuming it has a water flow of 6.3 X 10^11 cubic meters per year? Answer in scientific notation

Answers

Hi! So you do 2.1 x 10^17 which is 2.10000000000000000 plus 6.3 x 10^11 which is 6.30000000000 and the answer is 8.4 x 10^28

132300000000000000000000000000

Adam works as an account manager for a local insurance company. He makes $3500 per month, after taxes. He sticks to a strict monthly budget to make sure that he is able to pay for all of his expenses each month. Look at the list below of the items Adam must budget for each month. He gives a specific percentage of his income to each item. Use his monthly income and the percentage of each item to determine how much Adam will need to budget for each expense. 30% for rent/mortgage $ 15% for Insurances $ 12% for food $ 8% for utilities $ 10% for savings $ 5% for fun $ 7% for clothing $ 3% for personal items $ 10% charitable giving $ How much money will Adam have left over after budgeting for each item on the list? $

Answers

Answer:

  see below

Step-by-step explanation:

Given a $3500 net income per month and a list of budget percentages, you want to know the budget amounts for each item, and the amount left over.

Amounts

Each budget amount is the product of the net income and the associated budget percentage. Those products are ...

rent: $1050insurance: $525food: $420utilities: $280savings: $350fun: $175clothing: $245personal: $105charity: $350

Left over

The sum of these amounts is $3500, so there will be $0 left over.

__

Additional comment

The list is stored in the variable 'b' by the first line in the calculator. Then these values are multiplied by the net income to get the budget amounts.

Other Questions
The speed of light in a certain medium is 2. 2 108 m/s. What is the index of refraction of this medium? Use the appropriate compound interest formula to find the amount that will be in each account, given the stated conditions.$24.000 invested at 4% annual interest for 7 years compounded (a) annually: (b) semiannually Write the word form of the number in standard decimal form for: three and fifty-four thousandths while marcus was an inpatient in a rehabilitation center, a nurse directed racial slurs at him. due to this, marcus pressed charges against the nurse for what. Boyd's board shop grt a shipment of 92 new skateboards wheels. Boyd assembles the skateboards and puts 4 of the new wheels on each board. You can use a function to describe the number of new wheels Boyd has left after assembling x skateboards From 9 names on a ballot, a committee of 5 will be elected to attend a political national convention. How many different committees are possible? Use the empirical probability formula to solve the exercise 9. castle black camping is twice as risky as the average stock. the market should earn 11% and the risk free rate is 2%. what is a fair return for cbc? (20%)10. harlan county safety co. has a beta of 1.2. form a portfolio that is half hcsc and half cbc (from number 9). what is a fair return? (16.4%) Why did people believe that Quaid E Azam had complete faith in Ms. Fatima Jinnah? A membranous structure that assembles proteins and parts of the cell membrane. If the solutions to 4x + 1 = 81 are tg/5, what is the value of g?9 =PLEASE HELP The probability that Trevor studies for at least 50 minutes and passes his Algebra test is 0.88. The probability that he studies for at least 50 minutes is 0.92. What is an example of a Chemical food hazard?O MoldVirusesA bun bag tabCleaning solutionMark for follow up One of the downsides of the former regulatory guidelines was that federal agencies _____. A. Attempted to expand beyond their authority and paralyzed innovationB. Often approved products that eventually proved dangerous to humans and animalsC. Could not attract superior scientific talent to evaluate new environmental productsD. Often did not have the tools to respond to novel or ground-breaking biotech innovations 1. A gas takes up a volume of 10 ml, has a pressure of 6 atm, and a temperature of 100 K. What is the new volume of the gas at stp?2. The gas in an aerosol can is under a pressure of 8 atm at a temperature of 45 C. It is dangerous to dispose of an aerosol can by incineration. (V constant)What would the pressure in the aerosol can be at a temperature of 60 C ?3. A sample of nitrogen occupies a volume of 600mL at 20 C. What volume will it occupy at STP?(P constant) Which of the sentences below has pronoun-antecedent agreement? A. Rhena and Ansley both won her first races this week. B. Rhena and Ansley both won its first races this week. C. Rhena and Ansley both won they first races this week. D. Rhena and Ansley both won their first races this week native land act of 1914 why was it introduced please answer thanksss Savings accounts are never guaranteed by a government agency.TrueFalse What type of transformation is modeled? You can buy a car that is advertised for $24,000 on the following terms:A. ) pay $24,000 and receive a $2000 rebate from the manufacturer; B. ) pay $500 a month for 4 years for total payments of $24,000, implying zero percent financing. 1. ) Calculate the present value of the payments for option A if the interest rate is 1% per month. 2. ) Calculate the present value of the payments for option B if the interest rate is 1% per month