Help me with this radius and area work

We determine what he spent as follows:

So, he spent %5.19.

Answer:

That can be factored as

(x -1  (1/3) ) * ( x +3) * (x -4/5)

and the zeroes are located at:

x = 1.33333333...   x = -3    and x = .8

Step-by-step explanation:

Answer:

\(\boxed{\sf \ \ \ f(x)=(x+3)(5x-4)(3x-4) \ \ \ }\)

Step-by-step explanation:

We need to factorise the following function

\(f(x)=15 x^3+13 x^2-80 x+48\)

-3 is a trivial solution, we can notice that f(-3)=0

so we can factorise by (x+3)

let s note a, b and c real and let s write

\(f(x)=15 x^3+13 x^2-80 x+48=(x+3)(ax^2+bx+c)\)

\((x+3)(ax^2+bx+c) = ax^3+bx^2+cx+3ax^2+3bx+3c=ax^3+(b+3a)x^2+(3b+c)x+3c\)

let s identify...

the terms in \(x^3\)

   15 = a

the terms in \(x^2\)

   13 = b + 3a

the terms in x

   -80 = 3b+c

the constant terms

   48 = 3c

so it comes, c=48/3=16, a = 15, b = 13-3*15=13-45=-32

so \(f(x)=(x+3)(15x^2-32x+16)\)

\(\Delta=32^2-4*15*16=64\)

so the roots of \((15x^2-32x+16)\) are

\(\dfrac{32-8}{15*2}=\dfrac{24}{30}=\dfrac{12}{15}=\dfrac{4}{5}\)

and

\(\dfrac{32+8}{15*2}=\dfrac{40}{30}=\dfrac{20}{15}=\dfrac{4}{3}\)

so \(f(x)=(x+3)(5x-4)(3x-4)\)

the zeros are -3, 4/5, 4/3

Answer:

Yes.

Step-by-step explanation:

Always.

The surface area of the surface generated by rotating the curve y = x² about the y-axis, and we found that the surface area is approximately 54.33 square units.

In this case, the curve we want to rotate is y = x², and we want to rotate it about the y-axis. To use the formula above, we need to express the equation of the curve in terms of x. Therefore, we need to rewrite y = x² as x = √y.

Next, we need to find the derivative of x = √y with respect to y, which is:

dx/dy = 1/2√y

Substituting this into the formula for the surface area, we get:

Surface Area = 2π ∫[0,4] √y √(1+(1/2√y)²) dy

Simplifying the expression inside the square root, we get:

Surface Area = 2π ∫[0,4] √(y+(1/4)) dy

We can evaluate this integral using the power rule of integration, which gives:

Surface Area = 2π [2/3(y+(1/4))^(3/2)]₀⁴

Simplifying further, we get:

Surface Area = 2π [2/3(17/4)^(3/2)]

Surface Area ≈ 54.33 square units

Therefore, the surface area of the surface generated by rotating the curve y = x² about the y-axis is approximately 54.33 square units.

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Complete Question:

How do you find the area of the surface generated by rotating the curve about the y-axis y = x^2 , 0 ≤ x ≤ 2 ?

The length of RS is 13 units and the length of the hypotenuse XY is approximately 16.4 units.

15) In ΔTSR

TR² = TS² + RS²

Substituting the given values, we get:

(5√10)² = 9² + RS²

250 = 81 + RS²

RS² = 169

Taking the square root of both sides, we get:

RS = 13 units

16)In ΔYZX

XY² = YZ² + XZ²

Substituting the given values, we get:

XY² = 10² + 13²

XY² = 169 + 100

XY² = 269

Taking the square root of both sides, we get:

XY = √269

XY=16.4 units

What is Pythagorean theorem?

In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

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The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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A 3-by-3 magic square :

5 24 16

26 15 4

14 6 25

A square array of numbers, often positive integers, is referred to as a magic square in recreational mathematics if the sums of the numbers in each row, each column, and both main diagonals are the same.

The following values are listed in the question:

The numbers are 4​, 5​, 6​, 14​, 15​, 16​, 24​, 25​, and 26.

A 3-by-3 magic square is required.

Since the numbers are 4​, 5​, 6​, 14​, 15​, 16​, 24​, 25​, and 26.

Now the sum of all numbers is :

4​ + 5​ + 6​ + 14 + 15​ + 16​ + 24​ + 25​ + 26 = 135

There are now 3 rows and 3 columns, thus the total number is divided by 3.

5 24 16

26 15 4

14 6 25

5 + 24 + 16 = 45

5 + 26 + 14 = 45

26 + 15 + 4 = 45

24 + 15 + 16 = 45

14 + 6 + 25 = 45

5 + 15 + 25 = 45

So, the total of each row and each column is therefore 45.

Therefore, this is a​ 3-by-3 magic square that satisfies the conditions :

5 24 16

26 15 4

14 6 25

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Answer:

y = 2/3x + 1/2

Step-by-step explanation:

First, make the equation into a slope-intercept form:

2y + 3x = 1

2y = -3x + 1

y = -1.5x + 0.5

You can make it into a fraction:

y = -3/2x + 1/2

Now here's the equation:

y = 2/3x + 1/2

Hope this helps!

Let me know if I'm wrong :)

The set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

In the Set Builder form , a statement or expression is used to represent all the elements of the set .

In the question ;

it is given that

the domain of the function is all whole numbers between 2.5 and 7.5 .

the set of whole numbers is represented by W.

Since the numbers between 2.5 and 7.5 are included , so "<" will be used .

The Set Builder notation is Domain = {x: x∈W , 2.5<x<7.5 } .

Therefore , the set builder notation of "The domain of a function is all whole numbers between 2.5 and 7.5" is Domain = {x: x∈W , 2.5<x<7.5 }.

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424 is your answers to this problem

Answer:

  424

Step-by-step explanation:

The formula for the value of an amount P invested at simple interest rate r for t years is ...

  A = P(1 +rt)

Using the given values, we get ...

  A = 400(1 +0.06·1) = 424

The total of the investment will be 424.

Answer:

60 cookies are chocolate

30 cookies are peanut butter

15 cookies are snickerdoodle

15 cookies are oatmeal raisin

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3-8 is equal to -5!!! I hope that helps you out

Answer:

its 3

Step-by-step explanation:

many people said its 3 so it prob is

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Answer:

5x + 12x + 19x = 180 36x = 180 x = 5 19(5) = 95º

Step-by-step explanation:

Answer:

Jack is 88, Priscilla is 75.

Step-by-step explanation:

Let J represent Jack's age and let P represent Priscilla's age.

Their age totaled 163, so:

\(J+P=163\)

And we know that Jack was 13 years older than Priscilla. In other words:

\(J=13+P\)

Solve for J and P. To do so, substitute the second equation into the first:

\(13+P+P=163\)

Combine like terms:

\(2P+13=163\)

Subtract 13 from both sides:

\(2P=150\)

Divide 2 from both sides:

\(P=75\)

So, Priscilla is 75 years old right now.

Jack is 13 years older meaning that Jack is 88 years right now.

And we're done!

Step-by-step explanation:

multiply by -3 on both sides then flip sign due to rule

\(x + 7 \geqslant - 15 \\ - 7 \\ x \geqslant - 22\)

Answer:

Your answer is -24.

Step-by-step explanation:

Given information.

The graph of f(x) and g(x)

Solving for

-6 * f(3) - 6 * g(-1) = ?

think of f(x) = y as x is the input and y is the output.

Input a value of x into f(x) or g(x) gets us a y value.

Looking at the graph of f(3) = -2 and the graph of g(-1) = 6

Now substitute that and solve.

-6 * -2 -6 * 6 = 12 - 36 = -24

Answer: -24

Step-by-step explanation:

We should first find the outputs to the functions f and g with inputs 3 and -1 respectively. We can do this by looking at the graph and finding the y value for each desired x value.

Thus, we can see that f(3) = -2 and g(-1) is 6.

We can replace these into the expression to get

\(-6*-2-6*6\)

We should first multiply, so we get

\(12 -36\)

\(-24\)

Hence, the answer is -24.

Answer:

Yellow is correct.

You can add the valued and divide by how many values there are to find the mean

The score of 20 is an outlier and brings the mean score down by almost 10%

Step-by-step explanation:

Answer:

3: The low score causes the mean to decrease.

Step-by-step explanation:

If you add a significantly lower number, it will bring down the overall average.

Hope this helps!

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

HOPE IT'S HELPFUL TO YOU

PLS MARK ABOVE GUY ANSWER AS BRAINLIEST

Answer:

5

Step-by-step explanation:

I hope this helps

yea xxx

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

\(x=7\)

-7 is not a solution for \(x+12=19\)

Step-by-step explanation:

\(x +12 = 19\)

Subtract 12 from both sides

\(x = 19-12\)

Subtract 12 from 19 to get 7

\(x = 7\)

It would be -7 if it was \(-x+12=19\)

Answer:

m∠XYZ = 162°

Step-by-step explanation:

We can see that ∠XYZ is an exterior angle while ∠W and ∠X are the opposite interior angles.

We know that the exterior angle of triangle is equal to the sum of opposite interior angles

Given

m∠XYZ = (15x-18)°

m∠W = (5x+2)°

m∠X = (8x+4)°

Mathematically it can be written as:

m∠X+m∠W = m∠XYZ

\(8x+4+5x+2 = 15x-18\\13x+6 = 15x-18\\13x-15x = -18-6\\-2x = -24\\\frac{-2x}{-2} = \frac{-24}{-2}\\x = 12\)

Putting x=12 in m∠XYZ

\(15x-18\\=15(12)-18\\=180-18=162\)

Hence,

m∠XYZ = 162°

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer:

All real numbers are solutions

Step-by-step explanation:

10(x + 1/2) = 3x + 5 + 7x

~Distribute left side

10x + 5 = 3x + 5 + 7x

~Combine like terms

10x + 5 = 10x + 5

~Subtract 5 to both sides

10x = 10x

~Divide 10 to both sides

x = x

~Subtract x to both sides

0 = 0

Best of Luck!

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Step-by-step explanation:

Part 1

To find out the amount of water ten big water bottles can hold, we have to find out how much water is in each water bottle. To do this, we divide the amount we are looking for by the number of items.

8 ÷ 4 = 2

Part 1 answer: Each water bottle can hold 2 gallons of water.

Part 2

Now that we know the amount of water in each water bottle, we can find out how much water 10 water bottles can hold. To do so, we multiply our previous answer, 2, by the number of items (10).

2 • 10 = 20

Part 2 answer: 10 water bottles can hold 20 gallons of water.

Our final answer: 20 gallons

I hope this helps you!

Answer:

*The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles

*The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal.

*The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal

Step-by-step explanation:

The transversal is the major road that crosses the other two roads shown in the diagram above.

Applying the knowledge of properties of lines, let's consider each statement given, to ascertain which is true and which is untrue:

Statement 1: 'The Fire Station and the Worship Center lie on the same side of the transversal and form a linear pair."

The fire station and the Worship center are on the same side of the transversal, however, they do not form a linear pair. They are corresponding angles.

Statement is NOT TRUE.

Statement 2: "The Museum and the Coffee Shop lie on the opposite sides of the transversal and form a pair of alternate exterior angles."

This statement is TRUE.

The Museum and the Coffee shop form alternate exterior angles pair.

Statement 3: "The Bank, the Museum, the Coffee Shop, the Worship Center are interior angles."

This is NOT TRUE.

They are all EXTERIOR angles.

Statement 4: "The Day Care and the Park are on the same side of the transversal and form a linear pair."

This is NOT TRUE.

They are consecutive interior angles.

Statement 5: "The Day Care and the Community Center are supplementary angles and on opposite sides of the transversal."

This is TRUE.

Statement 6: "The Bank and the Community Center are on opposite sides of the transversal and form a pair of alternate interior angles"

This is NOT TRUE.

They are on opposite side of the transversal but one the bank is an exterior angle while the community center is an interior angle.

Statement 7: "The Park and the Museum are adjacent angles and form a vertical pair of angles."

This is NOT TRUE.

They do not share the same side, so they can't be adjacent angles. They only share the same vertex, which makes them vertical angles.

Statement 8: "The Fire Station and the Community Center are consecutive interior angles lying on the same side of the transversal."

This is TRUE.