How does the volume of a cylinder with a radius of 3 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units?

a. The volume of the cylinder is greater than the the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

Answer:

252

Step-by-step explanation:

3*9 = 27

3*9 = 27

3*9 = 27

3*9 = 27

9*6 = 54

9*6 = 54

3*6 = 18

3*6 = 18

Add them all up

Answer:

Step-by-step explanation:

a. 3.2 feet

Answer:

When the water was 4 feet from the end of the hose, what was its height above the ground?

Step-by-step explanation:

2022 Edge Unit Review Test

Answer:

for 4 years: [tex]72,700 + 1.035^4(72,700)[/tex]

For n years: [tex]72,700 + 1.035^n(72,700)[/tex]

Step-by-step explanation:

Since each year the growth rate is 3.5 of the last year, n will represent the number of years.

[tex]72,700 + 1.035^n(72,700)[/tex]

Therefore since n is 4, the equation will be:

[tex]72,700 + 1.035^4(72,700) =72,700 + 1.15(72,700)[/tex]

Therefore this equation represents the town after four years.

Answer:

P=72,700(1+0.035)(1+0.035)(1+0.035)(1+0.035)

Step-by-step explanation:

The vertex form of the given equation, y = -6x² + 3x + 2, is expressed as: y = -6(x - 0.25)² + 2.375.

The vertex form of an equation is expressed as, y = a(x - h)² + k, where:

(h, k) = vertex of the parabola.

Given the equation, y = -6x² + 3x + 2, factor the equation:

y = -6(x² - 0.5x) + 2

y = -6(x² - 0.5 + 0.0625) + 2.375

Rewriting the equation as perfect squares, we would have:

y = -6(x - 0.25)² + 2.375

The vertex form of y = -6x² + 3x + 2 is, y = -6(x - 0.25)² + 2.375.

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Answer:

c y = -6(x-1/4)^2+19/8

Step-by-step explanation:

Answer:

$5,700

Step-by-step explanation:

she would earn $73,850 annualy(sry for my mistakes im in 6th Grade) and the question says how much more will she arn each year as a CPA than as an accountant each year and she would make 68,150 as an accountant so you would subtract 73,850 by 68,150 and you would get $5,700.

Answer:

[tex]\sqrt{117}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem by cutting rectangle ABCD diagonally.

6^2+9^2=(AC)^2

117=(AC)^2

So the length of AC is [tex]\sqrt{117}[/tex]

Answer:

A. 9y + 3 = 0

Step-by-step explanation:

To know if a function is linear without graphing it, check if the function is a polynomial of the first degree, because linear functions are polynomials of the first degree. This means that the power of the x-value should be equal to 1.

The only function without this trait is 9y + 3 = 0, so that is our nonlinear function.

hope this helps :)

Answer:

x = 66

Step-by-step explanation:

the triangle has 2 congruent sides and is therefore isosceles with the 2 base angles being congruent, then

x = 66

The measure of the indicated angle is 66 degree.

An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:

We have a Triangle.

Then, using Isosceles Triangle Theorem

Angles opposite an isosceles triangle's equal sides are also equal.

According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.

So, x= 66 degree.

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Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Q) 26 ÷ {(-7)-(12 ÷ 2)} = ?

→ 26 ÷ {(-7)-(12 ÷ 2)}

→ 26 ÷ {-7-6}

→ 26 ÷ -13

→ -2 is the final answer.

Answer:

18

Step-by-step explanation:

f(x) = 3(x + 4)

f(2) = 3(2 + 4)

3 x 2 = 6

3 x 4 = 12

f(2) = 6 + 12

f(2) = 18

Answer:

xy*(2x^2 + 7x^2 - y^2)

Step-by-step explanation:

You can get xy out of the expression since all have xy

The amount spent is an illustration of subtraction and proportions

The amount left in his earnings is $414.25

The given parameters are:

Rate = $22 per hour

Time = 40 hours

So, the total earnings is:

Total = $22 * 40

Evaluate

Total = $880

He spent half on bills.

So, we have:

Bills = 0.5 * $880

Bills = $440

He buys a video game for $25.75

So, the amount left is

Amount left = $880 - $440 - $25.75

Amount left = $414.25

Hence, the amount left in his earnings is $414.25

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Answer:

Step-by-step explanation:

2(x+7)^2 =98  

(x+7)^2 = 49  (divide both sides by 2)

(x +7) = [tex]\sqrt{49}[/tex]  (square root both sides)

x + 7 = 7  ( we are not sure if this is  -7 or  +7, because either would work )

so we have two solutions now

x +7 = -7     or      x +7 = 7

x = -7 -7      or      x =7 -7    (subtract 7 from both sides)

x = - 14        or      x = 0  

Answer:

45 Handshakes.

Step-by-step explanation:

10 people shake hands.

So, each person will shake hands with 9 other people.

Total number of handshakes = 90/2 = 45

Answer:

All squares must be rectangles.

Step-by-step explanation:

This quadrilateral is known as a square. A square is a closed figure with four sides of equal lengths and four right angles. By definition, a rectangle is a closed figure with four straight sides and four right angles. So comparing both of these definitions, a square must be a rectangle. Rectangles sides are not all equal. This about about the only difference.

ok this took a while But ...The first term is,  x2  its coefficient is  1 .

The middle term is,  +2x  its coefficient is  2 .

The last term, "the constant", is  +148

Step-1 : Multiply the coefficient of the first term by the constant   1 • 148 = 148

Step-2 : Find two factors of  148  whose sum equals the coefficient of the middle term, which is   2 .

pls let me be right

The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).

Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.

1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.

Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025

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Answer: 15 guests.

Step-by-step explanation:

As the statement says that Carly has 9 1/2 of ice cream and each guest will be served 3/5 pint of ice cream, to determine the number of guests that she can serve, you have to divide 9 1/2 by 3/5:9 1/2÷3/5. 19/2÷3/5=95/6= 15According to this, the greatest number of guests that Carly can serve is 15 guests.

Answer:

h = 15 ft

Step-by-step explanation:

the line from the vertex to the base is a perpendicular bisector.

then the radius r = 16 ÷ 2 = 8

using Pythagoras' identity in the right triangle formed

with hypotenuse = 17 and legs h and 8 , then

h² + 8² = 17²

h² + 64 = 289 ( subtract 64 from both sides )

h² = 225 ( take square root of both sides )

h = [tex]\sqrt{225}[/tex] = 15

Answer:

6,000+6%=6,360

Total in 6 years: 2,160

Answer:

To find GCF we need to find what these expressions have in common

30x²=5*3*2x²

45x⁵=5*3*3x²x³

Now we can see, that GCF=5*3*x² = 15x²

Answer :

15x²

Step-by-step explanation:

[tex]30x^{2}=2\times \left( 15x^{2}\right) \\45x^{5}=3x^{3}\times \left( 15x^{2}\right)[/tex]

Then the greatest common factor is 15x²

Answer:

A: 8.4

Step-by-step explanation:

Order of operations: BEDMAS. Brackets, exponents, division, multiplication, addition, and substraction.

Using this you need to do 2(1.2) first.

2(1.2)=2.4

Then 4.5-2.4=2.1

Then finally 4(2.1)=8.4

Hope that helps

please give brainliest

Answer:

pretty sure it's 8.4 don't come at me if it's not

Step-by-step explanation:

-2(2.1) = -2.4

4(4.5-2.4) = 4(2.1)

4(2.1) = 8.4

Answer: D) $221.93

Step-by-step explanation: that's the answer on edge.

The solution is, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24

= 1599.8656571502122308900(1 + 0.18/12)^24

= 1286.55253073612259711290(1 + 0.09/12)^24

= 1543.37345291648033351200(1 + 0.16/12)^24

= 1649.0625893406018547

Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547

= 6078.85

Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31

1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93

1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93

1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76

Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

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Answer:

Step-by-step explanation:

c - 3 = 9.49

Answer:

[tex]b.\:\: 524 \: {mm}^{3} [/tex]

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \pi \: {r}^{3} \\ \\ = \frac{4}{3} (3.1416) \: {(5)}^{3} \\ \\ = 523.6 \\ \\ \implies \: V_{sphere} \approx 524 \: {mm}^{3} [/tex]

-5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

x < -4

The solutions to the above inequality will lie in the region (-∞, -4)

x ∈ (-∞, -4)

From the number line, we can mark the region for the above interval (refer attached picture)

Thus, -5 is the solution to the inequality x < -4 and the interval is the x ∈ (-∞, -4) option first is correct.

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Using compound interest and continuous compounding, it is found that Lincoln would have $15,856 more in his account than Eli.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

Hence, for Lincoln, we have that the parameters are as follows:

P = 49000, r = 0.06125, n = 365, t = 20.

Hence the amount will be of:

[tex]A_L(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A_L(20) = 49000\left(1 + \frac{0.06125}{365}\right)^{365 \times 20}[/tex]

[tex]A_L(20) = 166787[/tex]

The amount is given by:

[tex]A(t) = Pe^{rt}[/tex]

For Eli, we have that r = 0.05625, hence the amount will be given by:

[tex]A(t) = Pe^{rt}[/tex]

[tex]A_E(20) = 49000e^{0.05625 \times 20} = 150931[/tex]

It is given by:

[tex]D = A_L(20) - A_E(20) = 166787 - 150931 = 15856[/tex]

Lincoln would have $15,856 more in his account than Eli.

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Answer:

D. 314

Step-by-step explanation:

135.00 - 21.45 = 113.55

35,654.70 / 113.55 = 314