A student wants to reduce the size of an article he found in a newspaper. The original article was 12 cm wide. He needs to reduce it so its width measures 9 cm. On the copier, what percent setting should he can use to make a copy this size? PLEASE HURRYYYYY!!!!

Answer:

5⁷

Step-by-step explanation:

simple explanation- add the exponets 4+3=7

add the exponet of 7 to 5 so 5⁷

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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Check the picture below.

so if we rotate the triangle TPQ abou the side PT we'll end up with a cone with a radius of 15 and a height of 10 as you see there, now, using the triangle STR about the side ST we'd end up with a smaller cone of radius 9 and height of 6.

So let's get the volume of each cone and subtract the volume of the smaller cone from that of the larger cone, and what's leftover is, you guessed it, the volume of the trapezoid, the part that wasn't subtracted.

\(\stackrel{ \textit{\LARGE larger} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=15\\ h=10 \end{cases}\implies V=\cfrac{\pi (15)^2(10)}{3} \\\\\\ \stackrel{ \textit{\LARGE smaller} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9\\ h=6 \end{cases}\implies V=\cfrac{\pi (9)^2(6)}{3} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{\pi (15)^2(10)}{3}~~ - ~~\cfrac{\pi (9)^2(6)}{3}\implies 750\pi -162\pi \implies 588\pi\implies \text{\LARGE 1847.3}~units^3\)

Answer:

Step-by-step explanation:

The answer is C. Sorry I can not explain why I am not good at explaining things so I you want details ask somwone else but it is for shure C.

The volume of the two prisms compares that the volume of prism B will double.

We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:

V = B x h

So, the volume of the two prism A= V = B x h

V = 18 x h = 18h

the volume of the two prism B= V = B x h

V = 18 x 2h = 36h

So, the volume of prism B will double thus the correct option is B.

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The complete question is;

Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.

How does the volume of the two prisms compare?

The volume of prism B will triple.

The volume of prism B will double.

The volume of prism B will decrease.

The volume of prism B will be cut in half.

Answer:

slide for von

Step-by-step explanation:

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

\(y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\\)

Apply substitution to get

\(y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right) + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x) + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x) + \left(a - 6b\right)\cos(x) = \sin(x)\\\\\)

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

Answer:

Step-by-step explanation:

Answer:

  addition property of equality

Step-by-step explanation:

You want the justification for step 1 in the solution process for -22 - x = 14 + 6x.

No solution process steps are shown, but we can speculate what they might be.

The goal is to separate constant terms and variable terms. This can be done several ways, but generally consists of adding the same thing to both sides of the equation.

Often, you're told to collect the variable terms first. Some prefer to do that so the variable terms are on the left side of the equal sign. Others prefer to do that so the result has a positive coefficient for the variable term. Taking the latter tack, we want to add x (the opposite of -x) to both sides of the equation:

  -22 -x +x = 14 +6x +x . . . . . x added to both sides

  -22 = 14 +7x . . . . . . . simplified

The justification for this step is the addition property of equality. That property allows you to add the same thing to both sides of an equation without changing the values of the variables.

__

Additional comment

Step 2 would be to add -14 to both sides, giving you ...

  -36 = 7x . . . . . . . . add -14; addition property of equality

If you like, you can do both of these additions in one step:

  -22 -x +(x -14) = 14 +6x +(x -14) . . . add(x -14); addition property of equality

  -36 = 7x . . . . . . simplified

Step 3 is to divide by the coefficient of the variable.

  -36/7 = (7x)/7 . . . . division property of equality

  -5 1/7 = x . . . . . . . simplified. This is the solution.

The usual procedure takes 3 steps, so this is called a "3-step equation."

Note that we choose for the variable coefficient to be positive, because we judge arithmetic with positive numbers to be less error-prone. If you collect the variable terms on the left, you get ...

   -7x = 36

so have to divide by -7. This should not be an issue if you're careful with your arithmetic, but many find dealing with negative numbers to be a challenge.

The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters

What is measurement?

Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.

Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.

Since we have 30 meters of fencing available, the total length of wire fencing used is:

L + 2W = 30 - W

Simplifying this equation, we get:

L = 30 - 3W

The area of the garden is:

A = LW

Substituting the expression for L from the previous equation, we get:

A = W(30 - 3W)

Expanding the expression, we get:

A = 30W - 3W²

To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:

dA/dW = 30 - 6W = 0

Solving for W, we get:

W = 5

Substituting this value back into the expression for L, we get:

L = 15

Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:

A = 5(15) = 75 square meters

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Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

Answer:

It will take him 7 ½ days.

Step-by-step explanation:

He goes up 2 ½ but falls back down ½ so you take the two and do 15/2 and get 7.5 which is 7 ½ days.

Answer:

y = 25x + 200

Step-by-step explanation:

y =  the total cost of the party

x = the number of guests

75/3 = 25

25 is the cost per guest.

Helping in the name of Jesus.

Answer:

x ⋅ ( 2 x ) + 6 < 8 = 2 x 2 + 6 < 8

2 x + 8 > 12 = 2 x 2 + 6 < 8

Step-by-step explanation:

\( = > \frac{10}{14} \\ \)

\( = > \frac{5}{7} \\ \)

\( = > 0.71428\)

Answer:

$1,030

Step-by-step explanation:

Step 1- Multiply One way tickets by How much the tickets cost:

35 x 14= 490

Step 2- Multiply Round trip tickets by how much the tickets cost:

20 x 27= 540

Step 3- Add both sums together:

490 + 540= 1,030

Therefore, the answer is $1,030

Answer: 86950

Step-by-step explanation:

A) x+2y=30

x=30-2y

B) x=8, y=11 and the solutions x and y represent the prices of tickets for students and non students.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x + 3y = 49

x + 2y = 30

A) From eq 2,

x+2y=30

x=30-2y

B) x and y represents the prices of tickets for students and non students.

2(30-y)+3y=49

60-4y+3y=49

y=60-49

y=11

x=30-2y

x=30-2(11)

x=30-22

x=8

The solutions x and y represent the prices of tickets for students and non students.

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Answer:

\(\frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Step-by-step explanation:

\(y=\frac{8x}{3-tan(x)}\\ \\\frac{dy}{dx}=\frac{(3-tan(x))(\frac{d}{dx}8x)-(\frac{d}{dx}(3-tan(x)))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{(3-tan(x))(8)-(-sec^2(x))(8x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{24-8tan(x)+8xsec^2(x)}{(3-tan(x))^2}\\ \\ \frac{dy}{dx}=\frac{8xsec^2(x)-8tan(x)+24}{(3-tan(x))^2}\\\\ \frac{dy}{dx}=\frac{8(xsec^2(x)-tan(x)+3)}{(3-tan(x))^2}\)

Remember to use the Quotient Rule

Answer:

I say the answer is A.

Step-by-step explanation:

The reason I say A is because in each box, they have more red than blue. It isn't possible that you can't pick blue but, it unlikely to pick. That's like saying you have 20 yellow marble and 4 purple marbles. It is unlikely to pick a purple marble but not certain or impossible.

Hope that helps!! If not, please send me a message and I will check my work!! Have a great rest of your day :) !

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

F(5)= -1

if 5 is the value on the x axis it corresponds to -1 on the y axis

Answer: The missing number is 38.

Step-by-step explanation:

The median is the middlemost number. If the median is not a whole number, that means that the median is the average of the two middlemost numbers. 27 and \(x\) are the 2 middle most numbers. THat means that:

\(\frac{27+x}{2}=32.5\)

So,

\(27+x=65\)

And so,

\(x=65-27\\\)

\(x=38\)

The given system of equations is,

A system of equations can be defined as,

Here, A is the ceofficient matrix, X is the variable matrix and B is the constant matrix.

Coefficient matrix gives the coefficients of the variables in the system of equations. Hence,

Hence, equation (1) can be written as,

If a 2x2 matrix A is given by,

Then, adj A is, Hence, the adjoint of the given matrix A is,

The determinat of A is,

Hence, the inverse of the given matrix A is,

Now, multiply equation (1) by inverse of A to solve for the variable matrix.

Here, I is identity matrix.

Therefore, the inverse of matrix A is,

x=-17/2 and y=-1/2.

Answer:

If y=6 when x=3 find y when x =-33.

Step-by-step explanation:

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b)

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits  

b)

The Standard error of the mean determined by

\(S.E = \frac{S.D}{\sqrt{n} }\)

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

\(S.E = \frac{S.D}{\sqrt{n} }\)

\(S.E = \frac{1.63}{\sqrt{49} } = 0.2328\)

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b) The Standard error of the mean is 0.2328