When raising a power to a power you________ the exponents.

Answer:

r ≈ 7.963 cm

Step-by-step explanation:

Given the following dimensions of a cylinder:

Volume (V) = 3785 cm³

Height (h) = 19 cm

In order to find the value of the radius, it is necessary to determine the formula for finding the radius of a cylinder.

The formula for finding the volume of a cylinder is:  V = πr ²h

To isolate the radius, start by dividing both sides by π × h :

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:\frac{\pi\:r^{2}\:h} {\pi\times\:h}}[/tex]

[tex]\mathsf{\frac{V} {\pi\times\:h}\:=\:r^{2}}[/tex]

Next, take the square root of both sides to isolate r :

[tex]\mathsf{\sqrt{\frac{V}{\pi\times\:h}} = \sqrt{r^{2}}}[/tex]

[tex]\mathsf{\:r\:=\:\sqrt{\frac{V}{\pi\times\:h}}}[/tex]

Now, we can finally substitute the given values into the formula for radius, r:

[tex]\mathsf{\:r\:=\:\sqrt{\frac{3785}{\pi\times\:19}}}[/tex]

r ≈ 7.963 cm

Therefore, the radius of the cylinder is 7.963 cm.

Answer:

the y intercept is 2

Step-by-step explanation:

we can see this because the line crossed the 2 on the y axis line

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

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Answer:

Step-by-step explanation:

Answer:

-5/2 is the answer

Step-by-step explanation:

Answer:

54353456452

Step-by-step explanation:

364564

a.  3

b. -10

c. 0

dddwdwcd

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

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The number of fish in the lake is an illustration of arithmetic sequence

The value of f(2) is 7800, and it represents the number of fish in the lake, the second year

The model is given as:

[tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

Where [tex]\mathbf{f(1) = 8200}[/tex]

To calculate f(2), we simply take n as 1.

i.e. n = 1

Substitute 1 for n in [tex]\mathbf{f(n+1) = f(n) - 400}[/tex]

So, we have:

[tex]\mathbf{f(1+1) = f(1) - 400}[/tex]

Add 1 and 1

[tex]\mathbf{f(2) = f(1) - 400}[/tex]

Substitute 8200 for f(1)

[tex]\mathbf{f(2) = 8200 - 400}[/tex]

Subtract

[tex]\mathbf{f(2) = 7800}[/tex]

Hence, the value of f(2) is 7800

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Answer:

15-22=a/12

-7=a/12

12(-7)=a

-84=a

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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Answer:

6 is no, -8 is no, - 10 is no, 5 is no

Step-by-step explanation:

6 is no beacause 3 - 4(6) = 11

                            3 - 24 = 11

                               -21 = 11

-21 is not equal to 11 so that means that 6 is not a solution.

- 8 is no because 3 - 4(- 8) = 11

                             3 + 32 = 11

                                  35 = 11

35 is not equal to 11 so that means that - 8 is no a solution

- 10 is no beacause 3 - 4(-10) = 11

                            3 + 40 = 11

                               43 = 11

43 is not equal to 11 so that means that - 10 is not a solution.

5 is no beacause 3 - 4(5) = 11

                            3 - 20 = 11

                               -17 = 11

-17 is not equal to 11 so that means that 5 is not a solution.

Hope that helps!

Answer:

If u=6,

 3-4u=11

3-4(6)=11

 3-24=11 (false; not a solution)

If u=-8,

  3-4u=11

3-4(-8)=11

 3+32=11 (false; not a solution)

If u=-10,

   3-4u=11

3-4(-10)=11

   3+40=11 (false; not a solution)

If u=5,

 3-4u=11

3-4(5)=11

3-20=11 (false; not a solution)

Answer:

y=m+p

Step-by-step explanation:

take the p to the other side.

p crosses = sighn and becomes +

hence ans = y=m+ p

Answer:

3 : 1

Step-by-step explanation:

The values must be in the same quantity

1 Kg = 1000 g

4.5 Kg = 4.5 × 1000 = 4500 g

Then

4.5 Kg : 1500 g

= 4500 g : 1500 g ( divide both parts by 1500 )

= 3 : 1 ( in simplest form )

The simplified form of the ratio, 4.5 kg : 1,500 g is 3 : 1

A ratio is a measure of the number of times one quantity is contained in or contains another quantity.

To write the the ratio 4.5 kg : 1,500 g as a ratio in its simplest form, both quantities are to be expressed in the same unit.

1 kg = 1,000g

Therefore, 4.5 kg = 1,000 g/kg × 4.5 kg = 4,500 g

The ratio 4.5 kg : 1,500 g can be written as follows;

4,500 g : 1,500 g

The above ratio can be simplified by dividing both terms by the greatest common divisor, (GCD). The GCD of 4,500 and 1,500 is 1,500, therefore, we divide both terms by 1,500 to get;

4,500 g : 1,500 g = (4,500 ÷ 1,500) : (1,500 ÷ 1,500)  = 3 : 1

Therefore, the ratio 4.5 kg : 1,500 g simplifies to 3 : 1

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Answer:

14 miles if that's how far he went up

17miles if you're calculating his distance covered

The distance he hiked up the mountain is 10 miles.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a mountain climber started at zero elevation. On the first day he hiked 10 miles up the mountain, on the second day it got steeper, and only hiked 3 miles, On the third day he had to detour and went down 4 miles, and on the last day, he went up 1 mile.

The total elevation will be calculated as below:-

Elevation  = 10 + 3 + 1 - 4

Elevation = 14 - 4

Elevation = 10 Miles

Therefore, the distance he hiked up the mountain is 10 miles.

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Answer:

Step-by-step explanation:

There are a total of 35 questions on a test:

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

The condition is

[tex]\\ \sf\longmapsto m+s=35[/tex]

[tex]\\ \sf\longmapsto 2m+5s=100[/tex]

Answer:

6400

Step-by-step explanation:

Substitute the given value into the expression

p²q²

= 10² × 8²

= 100 × 64

= 6400

Step-by-step explanation:

given that p=10

you would times 10 by itself so:

10x10=100

now the same for the q=8

8x8=64

now i think you would have to times 100 with 64 if not than there's your answer

which equals to 6400 (if you times it)

hope that helps

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

Answer:

d.

took the test

Step-by-step explanation:

Step-by-step explanation:

it would have to be practically the same equation.

because only then do you end up with 1 equation for 2 variables (the second equation does not create any additional information).

the only one being exactly the same as the original equation is the fourth option

y = 2(x + 5)

because that is

y = 2x + 10

Answer:

Finding out the relative maxima and minima for a function can be done by observing the graph of that function

Answer:

A and C

Step-by-step explanation:

ive seen this question before

#2

Reflexive sides

#3

Already given in question

#4

Given in the question

#5

By bisector definition

#6

Third angle therom

#7

Angle-Side-Angle

Done

Step-by-step explanation:

Missing reasons:

Answer: 20%

Step-by-step explanation:

200 -> 160

160/200

= 0.8

1 - 0.8

= 0.2

There was a 20% decrease in attendance.

Answer:

Solution,

or, 2x-4=24

or, 2x=24+4

or, 2x=28

or, 2×x=28

or, x=28÷2

or, x=14 (answer)

The solution of the equation is x = 14.

An equation is two algebraic expressions that have the same value and have the equal sign in between them.

We have the equation:

2x-4=24

Adding 4 to the both of side,

2x=24+4

2x=28

Divide by 2 on both side,

x=28÷2

x=14

Therefore, x = 14 is the solution of the equation.

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Answer:

ΔJLK≅ ΔMLN

Step-by-step explanation:

SSS