How do I solve this question A 2:4 and B 16:8

The value of the expression is 1 / (x² \(y^4\)).

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(x^{-2}\) / \(y^4\)

\(x^{-2}\) can be written as 1/x².

Now,

(1/x²)/\(y^4\)

= 1 / (x² \(y^4\))

Thus,

The value is 1 / (x² \(y^4\)).

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Answer:

15/5×20

Step-by-step explanation:

First divide both side of the cylinder. and do the length of the cylinder by formula

Answer:

sqrt(24)

Step-by-step explanation:

The square root of 24 is between 4 and 5 since we know that 4 square is 16 and 5 squared is 25.  16 < 24 < 25.

Cheers.

Answer:

EF= 5.5

Step-by-step explanation:

7 + 4 = 11

11 divided by 2 = 5.5

For every 3 dogs, there are 4 cats.

There are 4 cats and 3 dogs, so that means for every 3 dogs, there will be 4 cats.

For every ___3_____ dogs, there are _____4___ cats.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given,

ratio of dogs to cats = 3:4

which means there are 3 dogs per 4 cats.

Hence, there are 4 cats for every 3 dogs.

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To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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Answer:  Ten-millions place

That digit 6 represents 60 million.

Check out the place value chart below.

The perimeter of the figure is 58 m.

To find the perimeter of the given figure we can divide the figure in three rectangles.

Rectangle 1:

Perimeter= 2 (l + w)

= 2(5 + 2)

= 2 x 7

= 14 m

Rectangle 2:

Perimeter= 2 (l + w)

= 2(5 + 1)

= 2 x 6

= 12 m

Rectangle 3:

Perimeter= 2 (l + w)

= 2(14 + 2)

= 2 x 16

= 32 m

So, the perimeter of the figure is

= 14 + 12 + 32

= 58 m

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The mean age will increase, and the median age will remain the same.

Option B is the correct answer.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Ages:

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18

The mean of the ages.

= (14 + 15 + 15 + 16 + 16 + 16 + 16 + 17 + 17 + 17 + 17 + 17 + 18) / 13

= 211/13

= 16.23

The median of the ages.

= 16

Now,

18 becomes 19.

14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 19.

Mean = 212/13 = 16.3

Median = 16

Thus,

The mean age is increased.

The median is the same.

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Answer:

Step-by-step explanation:

(-3,0)

Answer:

Step-by-step explanation:

First, you could factor 2 out of the whole thing.  The result would be 2(x^2-4x-45). Now we find the factors of 45 which are 1, 45, 5, 9, 15, 3. We have to find the pair that adds up to 4, and multiply to get 45. After some guess and check, we can find that 5 and 9 are those numbers. Now we have to get the right signs. Since the result is a negative number for -8k, and -90, the number that is a negative must be less than the other negative. -9<-5, so the answer would be 2(x-9)(x+5)

Answer:

9:0

Step-by-step explanation:

how do u expect me to explain it

Answer:

y = 155

Step-by-step explanation:

6x + 1 = 2x + 17

x = 4

2 · 4 + 17 + y = 180

y = 155

I hope that this helps!!

Answer:

Maria's homework time is now 9 hours 12 minutes.

Step-by-step explanation:

Since Maria decides to increase her homework time by 15%.

Then,

15% of 8 hours = \(\frac{15}{100}\) x 8 hours

                        = 0.15 x 8 hours

                        = 1.2 hours

(Note that: 1.2 hours = 1 hour 12 minutes)

15% of 8 hours = 1 hour 12 minutes

her new homework time = 8 hours + 1 hour 12 minutes

                              = 9 hours 12 minutes

Maria's homework time is now 9 hours 12 minutes.

Answer:

x= 7

y= -2.75

Step-by-step explanation:

It's a system of equations so you have to use elmination to get a varibale.

I elminiated the y by multipling 5x+4y=24 by 2 and combining the two equations.

So now we are on 12x= 84. solve

x=7

plug it back into any formula, I chose 2x-8y=36 and solve for y

and you get the answer, Voila!

Answer:

5x + 4y = 24 (-4/5y + 24/5)

2x - 8y = 36 (4y + 18)

Step-by-step explanation:

Add -4y to both sides 1) 5x + 4y (-4y) = 24 (-4b)

Divide both sides by 5 2) 5x/5 = -4y+24/5

3) x = -4/5y + 24/5

Add 8y to both sides 1) 2x - 8y (8y) = 36 (8y)

Divide both sides by 2 2) 2x/2 = (8y + 36)/2

3) 4y +18

Answer:

a) answered in the image attached

b) y=2.75x+3.50

c) y=2.75(5)+3.50

   y=17.25

The translation vector for the rectangle is described by T(x, y) = (- 3, - 6).

In this problem we must derive the translation vector between a rectangle and its image set on Cartesian plane (let assume that the origin is on the lower left corner of the square). The translation formula is:

B(x, y) = A(x, y) + T(x, y)

Where:

If we know that A(x, y) = (6, 9) and B(x, y) = (3, 3), then the translation vector is:

T(x, y) = B(x, y) - A(x, y)

T(x, y) = (3, 3) - (6, 9)

T(x, y) = (- 3, - 6)

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\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The slope and y-intercept, or the points, should be used to graph the line.  Slope: 3 y-intercept: (0, 1 )

g ( x ) = − 3 x − 1

Create an equation using the function.

y = − 3 x − 1

Calculate the slope and y-intercept using the slope-intercept form.

Less steps by tapping...

In the slope-intercept form, y = m x + b denotes the slope and the y-intercept, respectively.

y = m x + b

With the use of the formula y = m x + b, determine the values of m and b.

m = − 3 b = − 1

m is the line's slope, and is the value of the y-intercept.

B. Slope: 3 Y-intercept: (0, 1 )

Two points are all that are required to graph any line. To determine the associated y values, enter two x values into the equation.

Less steps by tapping...

Assign the x and y values to a table.

x     y

0   − 1

1    − 4

The slope and y-intercept, or the points, should be used to graph the line.

Slope: 3 y-intercept: (0, 1 )

x        y

0        1

1         4.

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Answer:

Step-by-step explanation:

given:

stadium has 45,000 seats.

section A = $28 per ticket

section B = $24 per ticket

section C = $20 per ticket

$1,139,600 from each sold out event

Seats on A = Seats B + Seats C

find:

How many seats does each section​ hold?

solution:

since A = B + C, substitute A into eq. 1

                       2

since A = 22,500

         B = 22,500 - C

substitute A and B into eq. 2 to get C

                 4

now plugin the value of C=15,200 into eq. 3

therefore, the number of seats on each sections are:

seats A = 22,500

seats B = 14,900

seats C = 7,600

Proof:

1. Depreciation expense = $7,400 per year

2. Incremental net operating income = $10,000 per year

3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.

4. The simple rate of return on the new bottling machine is 13.5%.

Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.

Annual Depreciation Expense:

The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:

Depreciation expense = (Cost of the machine - Salvage value) / Useful life

Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year

Annual Incremental Net Operating Income:

To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.

Annual operating cost of the old machine = $19,000

Annual operating cost of the new machine = $9,000

Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine

Incremental net operating income = $19,000 - $9,000 = $10,000 per year

Initial Investment:

The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.

Simple Rate of Return:

The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.

Simple rate of return = Annual incremental net operating income / Initial investment

Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)

Therefore, the simple rate of return on the new bottling machine is 13.5%.

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1. Depreciation expense = $7,400 per year

2. Incremental net operating income = $10,000 per year

3. The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.

4. The simple rate of return on the new bottling machine is 13.5%.

What is investment?

Investment refers to the act of allocating money or resources to acquire an asset or property, with the expectation of generating income, profit, or appreciation in value over time. It involves forgoing the use of funds in the present, in order to potentially receive a greater benefit in the future.

Annual Depreciation Expense:

The new bottling machine would have a useful life of 10 years, and no salvage value. Therefore, the annual depreciation expense associated with the new bottling machine is:

Depreciation expense = (Cost of the machine - Salvage value) / Useful life

Depreciation expense = ($74,000 - $0) / 10 = $7,400 per year

Annual Incremental Net Operating Income:

To calculate the annual incremental net operating income provided by the new bottling machine, we need to compare the annual operating costs of the old machine and the new machine.

Annual operating cost of the old machine = $19,000

Annual operating cost of the new machine = $9,000

Incremental net operating income = Annual operating cost of the old machine - Annual operating cost of the new machine

Incremental net operating income = $19,000 - $9,000 = $10,000 per year

Initial Investment:

The initial investment associated with this project is the cost of the new bottling machine, which is $74,000.

Simple Rate of Return:

The simple rate of return is the ratio of the annual incremental net operating income to the initial investment. We have already calculated the annual incremental net operating income in step 2, and the initial investment in step 3.

Simple rate of return = Annual incremental net operating income / Initial investment

Simple rate of return = $10,000 / $74,000 = 0.1351 or 13.5% (rounded to one decimal place)

Therefore, the simple rate of return on the new bottling machine is 13.5%.

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Answer:

The triangles are similar.

Explanation:

Similar triangles have 3 pairs of congruent angles. In this diagram, we can see that the triangles WXP and WYZ share angle W, which is congruent to itself; therefore, they have at least 1 pair of congruent angles. We are given that angle X is congruent to angle Y, so that is a second pair of congruent angles. Finally, we know that angle P is congruent to angle Z because if two pairs of corresponding angles are congruent, then the third pair must also be congruent because the measures of the interior angles of both triangles have to add to 180°.

Based on a system of equations, the number of children (and adults) that attended the amusement park on that particular day is:

Children = 10,000

Adults = 20,000.

A system of equations is two or more equations solved concurrently or simultaneously.

A system of equations can be solved by graphing, matrix, elimination, and substitution methods.

The cost per child = $10

The cost per adult = #20

The total number of children and adults who attended on the da = 30,000

The total revenue generated by the park from tickets = $500,000

Let the number of children = x

Let the number of adults = y

x + y = 30,000 ... Equation 1

10x + 20y = 500,000 ... Equation 2

Multiply Equation 1 by 10:

10x + 10y = 300,000 ... Equation 3

Subtract Equation 3 from Equation 2:

10x + 20y = 500,000

-

10x + 10y = 300,000

10y = 200,000

y = 20,000

x = 30,000 - y

= 10,000

Check:

x + y = 30,000 ... Equation 1

10,000 + 20,000 = 30,000

10x + 20y = 500,000 ... Equation 2

100,000 + 400,000 = 500,000

Thus, using a system of equations, we can conclude that 10,000 children attended with 20,000 adults.

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Answer:

The formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

Step-by-step explanation:

Since Bill bought a used car, and after he'd owned the car for 10 weeks, I noticed that the car's odometer showed that it had gone a total of 43,852 miles (including the mileage on the car when Bill bought it). Subsequently, 30 weeks since Bill bought the car, the odometer shows 49,651 miles. Thus, assuming that Bill drives a consistent amount each week, to develop a formula that will estimate the odometer reading after Bill owned the car for X weeks and determine about how many miles had the car gone when Bill bought it, the following calculations must be performed:

(49.651 - 43.852) / 20 = X

5,799 / 20 = X

289.95 = X

So the average number of miles Bill drives per week is 289.95.

289.95 x 10 = 2,899.5

43,852 - 2,899.5 = 40,952.5

Thus, the formula that will estimate the odometer reading after Bill owned the car for X weeks is: 40,952.5 + 289.95X.

In turn, the number of miles the car had gone when Bill bought it was 40,952.5.

Answer:

x = - 3  ± √27 or if you want it in decimal form correct to  nearest hundredth:

x = -8.20, 2.20.

Step-by-step explanation:

x^2 + 6x - 18 = 0

this will not factor so we use completing the square:

x^2 + 6x = (x + 3)^2 - 9 so:

(x + 3)^2 - 9 - 18 = 0

(x + 3)^2 = 27

x+ 3 = ±√27

x = - 3  ± √27

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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