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what is the surface area of this cylinder

Answer:

C

Step-by-step explanation:

Base area = n^2

V = (base area * height)/3 = (n^2 *(n-1)/3 = 1/3n^2(n-1)

The expression for the volume of pyramid is V = ( 1/3 )n² ( n - 1 ) units³

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the base edge length of the solid pyramid be = n units

So , the base area of the pyramid = n² units²

Let the height of the pyramid be = ( n - 1 ) units

And , Volume of Pyramid = ( 1/3 )a²H

On simplifying , we get

V = ( 1/3 ) n² ( n - 1 ) units³

Hence , the expression is V = ( 1/3 ) n² ( n - 1 ) units³

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Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

Answer:

Step-by-step explanation:

Convert to simplified fraction:

Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

Convert to Mixed fraction:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.

[tex]2 \frac{4}{10} [/tex]

Reduce the fractional part of the mixed number.

[tex]2 \frac{2}{5} [/tex]

{Answer:

3893 residents.

Step-by-step explanation:

Equation for population growth:

The equation for the size of a population, considering that it doubles every n years, is given by:

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

In which A(0) is the initial population.

The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.

This means that [tex]A(0) = 2463, n = 12[/tex]. So

[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

Approximate the population of the town 5 years from now.

This is A(5). So

[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]

[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]

Rounding to the nearest whole number, 3893 residents.

Answer:

162 minutes

Step-by-step explanation:

Since she takes 6.2 minutes a mile, you multiply it by 26.2 for every mile. 6.2x26.2= 162.44, then round it to 162

Answer:

b. 12 000 mm

Step-by-step explanation:

multiply by 1 000

Answer:

3(5x + 4y)

Step-by-step explanation:

Given

15x + 12y ← factor out 3 from each term

= 3(5x + 4y) ← in factored form

Answer:

Step-by-step explanation:

322.14 cm²

Answer:

x ≈ 24.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 38°

Adjacent Leg = x

Hypotenuse = 31 cm

Step 2: Solve for x

Answer:

I would say more than 4 billion...

Step-by-step explanation:

Answer:

Step-by-step explanation:

3,969 = 4,000 rounded to nearest hundred

2,811=3,000 rounded to nearest hundred

therefore... the difference is 4,000 - 3,000 = 1,000 kilometers

Answer:1,100

Step-by-step explanation:

rounding 3,969 to the nearest hundreds is 4,000 and rounding 2811 to the nearest hundred is 2900. Now you subtract 4000-2900 = 1100.

Answer:

[tex]14\text{ and }16[/tex]

Step-by-step explanation:

Let the smaller number be [tex]x[/tex]. Since they are consecutive even numbers, the larger number can be represented by [tex]x+2[/tex].

Therefore, we have the following equation:

[tex]8(x+2)-5x=58,\\8x+16-5x=58,\\3x=42,\\x=\boxed{14}[/tex]

Thus, the larger number is [tex]x+2=\boxed{16}[/tex]

Answer:

I am pretty sure its 30 students

Answer:

-1 =s

Step-by-step explanation:

7 = -10s - 3

Add 3 to each side

7+3 = -10s - 3+3

10 = -10s

Divide by -10

10/-10 = -10s/-10

-1 =s

Answer:

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.

For the scenario given,

Since mean = 105 ; then median = 105

Answer:

The answer is "[tex](32.8318736, 29.1681264)[/tex]"

Step-by-step explanation:

When the [tex]95\%[/tex] of the confidence interval are true population means of the dog weight then:

[tex]=\bar{x} \pm \frac{\sigma }{\sqrt{n}} \times z_{0.05}\\\\=31 \pm \frac{6.1}{\sqrt{30}}\times 1.64485\\\\=31 \pm 1.83187361\\\\=(32.8318736, 29.1681264)[/tex]

Answer:

y = -⅓x + 7

Step-by-step explanation:

Given the two points that lie on the line (3, 6) and (-3, 8), we can find the equation without the grid by finding the slope (m) and y-intercept (b).

The equation would be written in the form of y = mx + b (slope-intercept form):

✔️Find m:

Slope (m) = change in y/change in x

Slope using (3, 6) and (-3, 8), would be:

Slope (m) = (8 - 6)/(-3 - 3) = 2/-6

m = -⅓

✔️Find b:

Substitute (x, y) = (3, 6) and m = -⅓ into y = mx + b to find b

6 = -⅓(3) + b

6 = -1 + b

6 + 1 = b

b = 7

✅Write the Equation:

Substitute m = -⅓ and b = 7 into y = mx + b

Thus,

y = -⅓x + 7

Answer:

h(-8) = -40

Step-by-step explanation:

Find h(-8) by plugging in -8 as x:

h(x) = 1/4x² + 7x

h(-8) = 1/4(-8)² + 7(-8)

Simplify:

h(-8) = 1/4(64) - 56

h(-8) = 16 - 56

h(-8) = -40

So, the answer is h(-8) = -40

The value of h(-8) is -40.

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power.

Given:

h(x)=1/4x²+7x

h(-8)= 1/4* 64+7*(-8)

      = 16-56

      = -40

Hence, h(-8)=-40.

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Answer:

60 feet

Step-by-step explanation:

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) =2^x + 6[/tex]

Required

Compare g(x) to f(x)

Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]

[tex]g(x) = f(x) + 6[/tex]

This implies that f(x) is shifted 6 units upward to give g(x)

Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.

The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees

The formula which is used to calculate the sum of the angle of regular polygon is given by

sum of the interior angles = ( n - 2 ) × 180 degrees

Where,

n is the number of sides

According to the given question.

We have a regular polygon with 23 sides.

⇒ n = 23

Therefore,

The sum of the interior angles of the given regular polygon

= (23-2) × 180

= 3,780 degrees

So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]

Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.

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Answer:

The center is ( -2, 7) and the radius is 6

Step-by-step explanation:

A circle is written in the form

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x+2)^2+(y-7)^2=36

(x -  -2)^2+(y-7)^2=6^2

The center is ( -2, 7) and the radius is 6

answer in picture

stay safe (..

Answer:

Hello There!!

Step-by-step explanation:

Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.

hope this helps,have a great day!!

~Pinky~

Answer:

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Step-by-step explanation:

Given

[tex]-x+5x^2+1[/tex]

Required

Rewrite and identify a, b and c

The required form is:

[tex]ax^2 + bx + c[/tex]

Equate both expressions

[tex]ax^2 + bx + c = -x+5x^2+1[/tex]

Rewrite as:

[tex]ax^2 + bx + c = 5x^2-x+1[/tex]

Compare the expressions on either sides

[tex]a = 5\\\\b = -1\\\\c=1[/tex]

Answer:

[tex]{ \tt{(x + 3)(x - 1)}} \\ = { \tt{ {x}^{2} - x + 3x - 3 }} \\ = { \tt{ {x}^{2} + 2x - 3 }} \\ \\ { \boxed{ \bf{coefficient = 2}}}[/tex]