A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?

The integral for the volume V of the cut out is 2016πr^3.

The volume V of the cut out can be found using the integral:
V = ∫[A(x)]dx
Where A(x) is the area of the cross section of the cut out at a given x-value and the integral is taken over the length of the cut out.

In this case, the cross section of the cut out is a circle with radius 12r, so A(x) = π(12r)^2 = 144πr^2.
The length of the cut out is the diameter of the cylinder, or 2(7r) = 14r.
Therefore, the integral for the volume V of the cut out is:
V = ∫[144πr^2]dx from x = 0 to x = 14r
V = 144πr^2∫dx from x = 0 to x = 14r
V = 144πr^2(14r - 0)
V = 2016πr^3
So the integral for the volume V of the cut out is 2016πr^3.

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Option D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

The given boxplots show the circulation of the expense obviously materials for nursing majors and non-nursing majors. From the plots, we can reason that the scope of the circulation of the expense obviously materials for nursing majors is like that of non-nursing majors, as the most extreme and least qualities are around at a similar level. We can likewise infer that the most extreme expense for non-nursing majors is more prominent than the middle expense for nursing majors.

Also, the inconstancy of the expense obviously materials for the center half of nursing majors is more noteworthy than the fluctuation of the center half for non-nursing majors, as the cases for nursing majors are more extensive. In any case, we can't reason that the middle expense obviously materials for nursing majors is more than $300 more than the middle expense obviously materials for non-nursing majors, as the medians are not straightforwardly named and their division isn't plainly shown. At last, we can see that the study included 17 nursing majors and 17 non-nursing majors.

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The complete question is:

A college professor conducted a survey in order to assess how much money nursing majors spend on course material compared to all other majors. To do so, she selected a random sample of 34 students. Each student was classified as a nursing major or as a non-nursing major. They were then asked how much they spent on books and other materials required for their courses this semester. Shown above are parallel boxplots summarizing the responses. Based upon the boxplots, which of the following statements cannot be concluded?

A. The range of the distribution of the cost of course materials for nursing majors is about the same as that of non-nursing majors.

B. The maximum cost for non-nursing majors is greater than the median cost for nursing majors.

C. The variability of the cost of course materials for the middle 50% of nursing majors is greater than the variability of the middle 50% for non-nursing majors.

D. The median cost of course materials for nursing majors is over $300 more than the median cost of course materials for non-nursing majors.

E. The boxplots reveal that 17 students are nursing majors and 17 students are non-nursing majors

Answer: C

Step-by-step explanation:

\(\sqrt10 10=10\sqrt{10}\)

Answer:

(0,3), (1,4) (2,5) and (3,6)

Step-by-step explanation:

f(x) = x + 3 is equivalent to y = 1x + 3 (y = mx + b)

b = the y intercept, when x is 0.

So y = 3, which means its (0,3)

To check:

f(x) = x + 3

f(0) = 0 +3

f(0) = 3

(0,3)

Now let's try that for all the values (1,2 and 3)

f(x) = x + 3

f(1) = 1 + 3

f(1) = 4

(1,4)

f(x) = x + 3

f(2) = 2 + 3

f(2) = 5

(2,5)

f(x) = x + 3

f(3) = 3 + 3

f(3) = 6

(3,6)

Hope that helps!

Answer:

first angle =35

second angle=63

third angle=82

LM=XY, then LM-GH= XY - GH and this illustrates the subtraction property of equality.

It should be noted that the subtraction property of equality simply implies that when the same number is subtracted form both sides, then the two sides will still remain equal.

In this case, when LM=XY, then LM-GH= XY - GH. This illustrates the subtraction property.

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Answer:

the probability in the case when the white pen would be removed from the drawer is 1 ÷ 30

Step-by-step explanation:

The computation of the probability in the case when the white pen would be removed from the drawer is given below

= Favorable outcome ÷ total outcome

= 1 ÷ 30

Hence, the probability in the case when the white pen would be removed from the drawer is 1 ÷ 30

We simply applied the above formula

Answer:

y=x-9

Or

m=1

b= -9

Step-by-step explanation:

m is slope so we know since it is a parrellel line both lines need the same slope and it’s 1

Now to find y intercept we just fill in the coordinates to find b

-2=7+b

-7 -7

-9=b

y=x-9

Hopes this helps please mark brainliest

Answer:

69

Step-by-step explanation:

The student needs to get a score of at least `22.13` after it is adjusted to a passing grade using A = 10√R.

The formula to find a student's score after it is adjusted to a passing grade using A = 10√R, given that a passing test grade is 70 is given below.

The student's score after it is adjusted to a passing grade using A = 10√R is `77.2`.T

o calculate the answer follow the steps given below:

The passing grade is `70`.The formula used to calculate the adjusted grade is `A= 10√R`.

Let the student score before adjustment be `R`.

Now, we know that the passing grade is `70`.

Therefore, the student needs to score at least `70` to pass the test.

Using the formula to calculate the adjusted grade, we have,

A = 10√R`70 = 10√R`

`(70/10)^2 = (10√R)^2`

`49 = 10R`

`R = 4.9`

Therefore, the student needs to score at least `4.9` to pass the test.

Now, we need to find the score that a student would need to get a passing grade after her score is adjusted.

A = 10√R`

A = 10√4.9`

`A = 10 × 2.213`

`A = 22.13`

Therefore, the student needs to get a score of at least `22.13` after it is adjusted to a passing grade using A = 10√R.

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Answer:

Area = 153.8 cm/ m

Step-by-step explanation:

Area of circle = 22 ÷ 7 × r²

= 22 ÷ 7 × (7²)

= 22 ÷ 7 × 49

= 3.14 × 49

= 153.8 cm/ m

Answer:

I got you with Question 3 and 4 my guy.

3) He would need 12 and it would cost 50k

4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27

The Tom will need to bring to the closing $54,341.27

He would need 12 and it would cost 50k.

We have given that,

Tom buys a condominium for $42,600.

He makes a down payment of 15% and pays these closing costs to survey $225.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

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The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

AAS only

Step-by-step explanation:

vertical angle

Answer:

The credit card purchase price of the same item is $87.5

Step-by-step explanation:

Here, we are interested in calculating the credit-card purchase price of an item if we are given the cash price

Since there is a 4% discount on the cash; the percentage paid will be 100-4% = 96%

So what we are saying is that, it is 96% of the credit cash purchase that was paid as cash;

Let the credit card purchase be $x

96% of x = 84

96/100 * x = 84

96x = 100 * 84

x = 8400/96

x = 87.5

Thus, the credit card purchase price of the same item is $87.5

Answer:

O = 41 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the graphic shows that this triangle has 2 equal sides. that means that both angles at O and at M are equal.

so, we know all three angles and can calculate

7y + 2×(4y - 15) = 180

7y + 8y - 30 = 180

15y = 210

y = 14

so, the angle at O is

O = 4×14 -15 = 56 - 15 = 41 degrees

Step-by-step explanation:

log 10 = 1.  So if log x < 1, then x < 10.  And if log x > 1, then x > 10.

The upper left number is the smallest, and can't be smaller than 1.  If the exponent is 0, we can put any number in the red box.

The fractions in the upper right and lower left need to be as large as possible.  The denominators will be small, and the numerators will be large.

From there, a little trial and error does the rest.  The are many possible answers.  I've included one.

Answer:

up and down

oiguddyzyhc uvkikvcuydtx I u guys and all that you can g

Audrey should run 30 meters along the shore before jumping into the water to save the child.

Let x be the distance Audrey should run before jumping into the water to save the child.

Find the time it takes Audrey to run to a point perpendicular to the child where she will jump into the water. Taking the perpendicular distance as y, then by Pythagoras' theorem, we have: y² = 40² - 30²y² = 1600 - 900y = √700y = 10√7 m

Audrey runs at 3 meters per second.

Hence, the time it takes her to cover the distance of y meters is:

t₁ = y/3 s

Find the time it takes Audrey to swim the remaining distance from the point she jumps into the water to the child.

The remaining distance is z where: z² = (30 - x)² + y²z² = 900 - 60x + x² + 700z² = x² - 60x + 1600z = √(x² - 60x + 1600 + 700)z = √(x² - 60x + 2300) m

Audrey swims at 1.2 meters per second.

Hence, the time it takes her to swim the distance of z meters is: t₂ = z/1.2 s

The total time it takes Audrey to save the child T = t₁ + t₂

T = y/3 + z/1.2s

Substituting the values for y and z above: T = 10√7/3 + √(x² - 60x + 2300)/1.2 s

Minimizing T

To minimize T, we differentiate T with respect to x and set the derivative equal to zero.

dT/dx = 0 - 20(x - 30)/(3√(x² - 60x + 2300)) = 0-20(x - 30)/(3√(x² - 60x + 2300)) = 0-20(x - 30) = 0x - 30 = 0x = 30 m

Therefore, Audrey should run 30 meters along the shore before jumping into the water to save the child.

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Answer:

To determine the speed, we can use the formula:

speed = distance / time

where distance is measured in feet and time is measured in minutes.

In this case, the distance is 264 feet and the time is 3 minutes. Plugging these values into the formula, we get:

speed = 264 feet / 3 minutes

simplifying, we get:

speed = 88 feet/minute

Therefore, the equipment is traveling at a speed of 88 feet per minute.

Answer: 36

Step-by-step explanation: Multiplication

Answer:

P(person will vote for the Republican candidate|person is a Republican)

= number of people who will vote Republican and are Republicanstotal number of Republicans

= 142160=0.888

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trust bro

If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A is D. The statement is false because the columns of an echelon form B of A are not necessarily in the column space of A.

To understand why this is the case, we need to first define what an echelon form is. An echelon form is a special type of matrix that has certain properties, including having all zero rows at the bottom, and each pivot (non-zero) element located in a higher row than the pivot element in the previous column.

When we perform row operations on a matrix to put it into echelon form, we are essentially transforming it into a simpler form that allows us to solve systems of linear equations more easily.

Now, let's consider the statement in the question: "If B is an echelon form of a matrix A, then the pivot columns of B form a basis for Col A." The column space of a matrix A, denoted as Col A, is the set of all possible linear combinations of the columns of A. In other words, it is the space spanned by the columns of A.

While it is true that the pivot columns of an echelon form B of A are linearly independent, meaning that they form a basis for the row space of B, they may not necessarily be in the column space of A. This is because the row operations used to put A into echelon form do not affect the column space of A. Therefore, it is possible for the pivot columns of B to be a basis for the row space of B, but not for the column space of A.

In summary, the statement is false because the columns of an echelon form B of A are not necessarily in the column space of A. While the pivot columns of B form a basis for the row space of B, they may not form a basis for the column space of A. Therefore, the correct option is D.

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Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

If I were to hypothesize that communication students will have a higher average score on the oral communication measures,

I would have a research hypothesis. A research hypothesis is a statement that is used to explain a relationship between two or more variables,

in this case, the relationship between being a communication student and having a higher score on oral communication measures.

The hypothesis can then be tested through research and analysis of data to determine if there is a significant correlation between the two variables. In order to fully test this hypothesis,

it would be necessary to gather data on both communication students and non-communication students and compare their scores on oral communication measures.

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Radians are a unit of measurement for angles. One radian is defined as the angle subtended by an arc of a circle equal in length to the radius of the circle.

1a. The value of arcsin(2/2) in radians is:

arcsin(2/2) = arcsin(1) = π/2

1b. To convert radians to degrees, we multiply by 180/π:

arcsin(2/2) ≈ (π/2) * (180/π) ≈ 90 degrees

2a. The value of arccos(2) in radians is not defined, since the cosine function only takes values between -1 and 1. Therefore, this is an invalid input for arccos.

2b. N/A, since arccos(2) is not a valid input.

3a. The value of arctan(-√3) in radians is:

arctan(-√3) ≈ -π/3

3b. To convert radians to degrees, we multiply by 180/π:

arctan(-√3) ≈ (-π/3) * (180/π) ≈ -60 degrees

4a. The value of arcsin(2) in radians is not defined, since the sine function only takes values between -1 and 1. Therefore, this is an invalid input for arcsin.

4b. N/A, since arcsin(2) is not a valid input.

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To determine which point could be on the line that is perpendicular to Line MN and passes through point K, we need to analyze the slopes of the two lines.

First, let's find the slope of Line MN using the given points (2, 3) and (-3, 2):

Slope of Line MN = (2 - 3) / (-3 - 2) = -1 / -5 = 1/5

Since the lines are perpendicular, the slope of the perpendicular line will be the negative reciprocal of the slope of Line MN. Therefore, the slope of the perpendicular line is -5/1 = -5.

Now let's check the given points to see which one satisfies the condition of having a slope of -5 when passing through point K (3, -3):

For point (0, -12):

Slope = (-12 - (-3)) / (0 - 3) = -9 / -3 = 3 ≠ -5

For point (2, 2):

Slope = (2 - (-3)) / (2 - 3) = 5 / -1 = -5 (Matches the slope of the perpendicular line)

For point (4, 8):

Slope = (8 - (-3)) / (4 - 3) = 11 / 1 = 11 ≠ -5

For point (5, 13):

Slope = (13 - (-3)) / (5 - 3) = 16 / 2 = 8 ≠ -5

Therefore, the point (2, 2) could be on the line that is perpendicular to Line MN and passes through point K.

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Each person ate 21/2 pounds of nut

First of all, we have 7 friends who are going to share 2/3 pound bag of pistachios

This will mean that we will have to divide equally the two-thirds-pound bag of pistachios among the seven people that we have so that we get the share that each person will get

There are 7 friends that share a 2/3-pound bag.

The first step will be: 7÷2/3

7÷0.6666

we will get 21/2 or 10.5

This will imply or mean that each of the friends will get an equal share of 21/2 of the  a two-thirds pound bag of pistachios

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Answer:

Explanation:

Identity:  sec2θ=1+tan2θ

sec2(π2−x)−1=1+tan2(π2−x)−1

=tan2(π2−x)

Identity: tan(π2−θ)=cotθ

=cot2x