Find the volume. *
7) height = 15 ft; radius = 10 ft
Volume =

The polynomial function with a leading coefficient of 1 and the specified roots and multiplicities is f(x) = (x + 2)(x - 7)(x - 5)^27.

The polynomial function you are looking for, which has a leading coefficient of 1, roots at -2 and 7 each with a multiplicity of 1, and a root at 5 with multiplicity 27, is given by the expression:

f(x) = (x + 2)(x - 7)(x - 5)^27

The given roots indicate the factors of the polynomial, and the multiplicity of each root shows how many times that factor is repeated. Hence, the root -2 becomes (x + 2), the root 7 becomes (x - 7), and the root 5 with multiplicity 27 becomes (x - 5)^27. The leading coefficient is 1, which means these factors are not multiplied by any other constant.

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the answer is be like 20

Answer:

The answer is -1/2

Step-by-step explanation:

Answer:

573.95 gallons/minute

Step-by-step explanation:

To find the amount of oil after 12 minutes you take the difference between the amount of oil that flows into the tank minus the the oil that flows aout the tanks. Then you have:

[tex]T(t)=F(t)-E(t)\\\\F(t)=t^2+\frac{1}{t+1}\\\\E(t)=\frac{ln(t+7)}{t+2}[/tex]

Being F(t) the flow that goes into the tank per minute, and E(t) the amount of oil that flows outside the tank per minute.

To know the total amount of F and E for t=12 you integrate these function:

[tex]\int_0^{12}F(t)dt=\frac{t^3}{3}+ln(t+1)|_{0}^{12}=578.56\frac{gallons}{minute}\\\\\int_{0}^{12}E(t)dt=\int_0^{12}[\frac{ln(t+7)}{t+2}]dt=4.61\frac{gallons}{minute}\\\\\int_0^{12}T(t)dt=578.56-4.61=573.95\frac{gallons}{minute}[/tex]

573.95 gallons/minute

Answer:

121 + 22i - 1

Step-by-step explanation:

Expand:

(11 + i)² = (11 + i)(11 + i)

Note that:

i² = -1

Use FOIL method. Multiply first terms, outside terms, inside terms, then the last two terms:

(11)(11) = 121

(11)(i) = 11i

(i)(11) = 11i

(i)(i) = -1

Combine like terms:

121 + 11i + 11i - 1

121 + (11i + 11i) - 1

121 + 22i - 1

121 + 22i - 1 is your answer.

~

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the diameter so we need the radius

r = d/2 =13/2 = 6.5

V = pi (6.5)^2 (19)

V = 802.75 pi mm^3  

We can approximate pi by 3.14

V =2520.635 mm^3

or by using the pi button

V =2521.913503  mm^3

Answer:

2 x minus y = negative 6 and 3 x minus y = negative 5

Step-by-step explanation:

y = 2(x+3) = 2x + 6 or 2x - y = -6

y = 5 + 3x or 3x - y = -5

The equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

From the given information:

Let the smaller number be x; then the word problem can be expressed as:

From (1), if we open the brackets, we have:

multiplying through by (-), we have:

Also, from equation (2)

By rearrangement

Multiplying through by (-), we have:

Therefore, we can conclude that the equations that represent the situation is: 2 x minus y = negative 6 and 3 x minus y = negative 5

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Answer:

13,300 divided by 19.7 % is 92893.4010152

Step-by-step explanation:

Answer:

£114

Let me know if it is incorrect so that I can review my answer and fix it! :)

Step-by-step explanation:

20% * £1200 = £240

£1200 + £240 = £1440

£1440 - £300 = £1140

£1140 / 10 = £114

Answer:

£114

Step-by-step explanation:

Total to be paid:

[1200 + (20% of 1200)] - 300

[1200 + (20/100 × 1200)] - 300

1200 + 240 - 300

1140

10 installments

Each:

1140/1

114

Answer:

30 feet by 18 feet

Step-by-step explanation:

Area = length * width

A  = x*w

w = x - 12

A = 540 sq. ft

540 = x * (x -12)

x*x - 12x - 540 = 0

x*x - 12x  + 36  - 36 - 540 = 0

(x - 6)^2  -  576 = 0

x - 6 = 24

or x -6 = -24

x = 30  or x = -18

w = 30 - 12 = 18

30 ft by 18 ft

Question:

Which three-dimensional figures have lateral faces that are polygons? check all that apply.

- cones

- cylinders

- hemispheres

- prisms

- pyramids

- spheres

Answer:

The correct choices are;

- prisms and

- pyramids

Step-by-step explanation:

A polygon is a figure closed or bounded with several straight line segments and polygons are named based on how many sides, side size and sizes of angles that they have present.

A three sided polygon for example is called a triangle

A lateral face are the faces of a prism except the base

Based on the definitions, we note that out of the options, only prisms, and pyramids have lateral faces that are made up entirely of straight line segments, hence polygons. Therefore, the correct choices are prisms and pyramids.

Answer:

Actually the correct is Cylinders, Prisms, and Pyramids. I just did it

Step-by-step explanation:

An angle measures 50° more than the measure of its supplementary angle. However, there are no angles that satisfy this condition.

An angle measures 50° more than the measure of its supplementary angle.

To solve for the measure of each angle, we can set up an equation:

Let x be the measure of the angle, and let y be its supplementary angle.

Since the sum of the measures of two supplementary angles is 180°, we can write the equation:

x = y + 50°

Substituting y + 50° for x in the equation, we get:

y + 50° = y

Subtracting y from both sides, we get:

50° = 0

Since there is no solution to this equation, it means that there are no angles that satisfy the given condition.

The smaller angle measures 65° while the larger angle measures 115°.

Let's denote the measure of the smaller angle as x degrees. Since the angles are supplementary, their sum must be 180 degrees. Thus, the measure of the larger angle will be (x + 50) degrees.

Using this information, we can form the following equation:

x + (x + 50) = 180

Simplify the equation:

2x + 50 = 180

Subtract 50 from both sides:

2x = 130

Divide both sides by 2:

x = 65

Therefore, the measures of the angles are:

Answer:

y = -2x+2

Step-by-step explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

   = (-2-4)/(2--1)

   = (-2-4)/(2+1)

   -6/3

  -2

We have the slope =-2

We can substitute it into the equation

y = mx+b where m is the slope and b is the y intercept

y =-2x+b

Use a point for x and y to solve for b

4 = -2(-1) +b

4 = 2+b

Subtract 2 from each side

4 -2 = -2+2+b

2 = b

We know m and b

y = -2x+2

Answer:

y = -2x + 2

Step-by-step explanation:

Slope: (-2-4)/(2--1) = -6/3 = -2

y - 4 = -2(x - -1)

y = -2x - 2 + 4

y = -2x + 2

Answer:

Pretty sure it would end up being $702 including tax

Step-by-step explanation:

650 * 0.08 = 52

52 + 650 = 702

personally i would ask every one who orders a kids meal.

hope this helps

Answer:

the answer is c) Ask anyone who orders a kid's meals

Step-by-step explanation:

Answer:

The additive inverse is 5

Step-by-step explanation:

What to we add to -5 to get it to be 0

-5 +x = 0

We add 5

-5+5 =0

Answer:

It is five

Step-by-step explanation:

Step-by-step explanation:

An expression is something like 7x=63

Answer:

The factored from of the equation is (x+4)(x-6)=0.

Step-by-step explanation:

When solving this problem, we need to find the factored form of this problem. Remember that in factored form, the right-hand side of the equation must equal to 0.

We can simply convert the left-hand side to standard form first:

(x-4)(x+2)=16 --> x²-2x-8= 16.

Now, to set the right-hand side of the equation to 0, we must subtract -16 from both sides:

x²-2x-24=0.

Now, if we convert this to factored form, we will get:

(x+4)(x-6)= 0.

All of the other statements are false. This is the only true statement.

The solution to the equation -4x + 1 = x + (-4) using algebra tiles is x = 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

-4x + 1 = x + (-4)

Add 4 positive x-tiles to both sides and create zero pairs:

-4x + 1 + 4x = x + (-4) + 4x

1 = 5x - 4

Add 4 positive unit tiles to both sides and create zero pairs:

1 + 4 = 5x - 4 + 4

5x = 5

Divide the unit tiles evenly among the x-tiles:

5x/5 = 5/5

x = 1

The solution to the equation -4x + 1 = x + (-4) using algebra tiles is x = 1

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x = 1

Step-by-step explanation: did on edge

Answer:

16 3/4 orrrrrrrr 67/4

Step-by-step explanation:

10 1/12 + 6 8/12

you need to change the denominators to be the same so you can add them

6

Step-by-step explanation:

-2^3=-8

-10+(-8)=-10-8=-18

-18÷-3=6

Answer:

Ashley's remaining available credit after her first purchase is $1025.00

Step-by-step explanation:

Here we are told that the borrower with the lower credit score will be charged $50.00 fee after the first purchase

Therefore, we have

Credit score Andrea = 895

Credit score for Ashley = 768

Therefore, Ashley has the lower credit score hence after her first purchase of a $425.00 Coach bag, we have

Available credit = Initial balance - Purchase - Charges

∴ Available credit = $1,500.00 - ($425.00 + $50.00) = $1025.00

Therefore, Ashley's remaining available credit after she purchases the $425.00 Coach bag = $1025.00.

Answer:

The HCF of 168 & 196 is 28

Step-by-step explanation:

The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196

The highest factor that both 168 and 196 share is 28

Hope this helps :D

Answer:

28

Step-by-step explanation:

168 = 2³ × 3 × 7

196 = 2² × 7²

HCF(168 ; 196) = 2² × 7 = 4 × 7 = 28

Answer:

Two solutions:

Adding 7 to the left and 0 to the right: 7920

Adding 2 to the left and 5 to the right: 2925

Step-by-step explanation:

The multiples of 45 always have as last digit 0 or 5, so the digit to the right of 92 has to be 0 or 5.

If we use 0 as the last digit, our options of multiples will be just 7920 (7920 = 45 * 176)

If we use 5 as the last digit, our option of multiples will be just 2925 (2925 = 45 * 65)

So we have just two solutions for this problem:

Adding 7 to the left and 0 to the right: 7920

Adding 2 to the left and 5 to the right: 2925

Answer:

5.40

Step-by-step explanation:

Cost of 70 gram vanilla beans is $42, so Jacques pay $42 for his vanilla beans.

What information do we have?

Cost of 1 kg vanilla beans = $600

Amount of vanilla beans bought by Jacque = 70 gram

Cost of 1 g vanilla beans = [600/1000]

Cost of 1 g vanilla beans = $0.6 per gram

Cost of 70 gram vanilla beans = 70 × Cost of 1 g vanilla beans

Cost of 70 gram vanilla beans = 70 × $0.6

Cost of 70 gram vanilla beans = $42

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Answer:C

Step-by-step explanation:

When using negative exponents, I’m you flip the number to the opposite side numerator to denominator in this case. So you would have 1 over x to the third power.(1/x^3)

Answer:

i think the answer is going to be 3

Step-by-step explanation:

Answer:

0.50

Step-by-step explanation:

The z-score for Michael's exam grade is 0.5.

To find the z-score for Michael's exam grade, we can use the formula: z = (x - µ) / σ, where x is the value of Michael's grade, µ is the mean, and σ is the standard deviation.

Plugging in the given values,

we get z = (86 - 85) / 2 = 0.5.

Therefore, the z-score for Michael's exam grade is 0.5.

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