What is the volume of the cylinder below?
O A. 45 pi units
OB. 72 pi units
O C. 90 pi units
O D. 36 pi units​
Answer D.36 pi unit 3

Answer:

3.Width is 2

4. 14 times

Step-by-step explanation:

3.

3x + 3x + x + x = 16

16 = 8x

x=2

Width is 2

4.

5 - 3 = 2

Safety equipment costs $2 every day.

$28 divided by 2 equals 14

must ride the trail 14 times

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Answer:

[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]

Step-by-step explanation:

[tex](x - x1)^2 + (y - y2)^2 = r^2[/tex]

Now that you know the formula, you can just add in the numbers from your coordinate point and radius with their respective signs.

[tex](x - 3)^2 + (y + 2)^2 = 9[/tex]

Answer:

m = 24

Step-by-step explanation:

(m + 7) + 2m + 11 = 90

3m + 18 = 90

3m = 72

m = 24

Answer:

A =222 in^2

Step-by-step explanation:

A trapezoid has an area given by

A  =1/2 (b1+b2) h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2( 21+16) *12

A = 1/2 (37) 12

A =222 in^2

Answer:

Y→X→Z

Step-by-step explanation:

i did the  test

The order of greatest to least solubility is Z > X > Y

An equation is an expression used to show the relationship between two or more numbers and variables.

x have 10 g of solute when dissolved in 500 ml of water, y have 12 g of solute when dissolved in 500 ml of water, and z have 8 g of solute when dissolved in 500 ml of water.

The order of greatest to least solubility is Z > X > y

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Answer:

median  15

range 20-11 = 9

25th = 14

75th = 17

inter = 17-14 = 3

Step-by-step explanation:

Answer:

The Median  would be 15

Range is  = 9

25th percentile = 14

75th percentile = 17

interquartile range= = 3

Answer:

Vector form u = <10, -13>

Step-by-step explanation:

You want to know what vector u = ?

u = < 14 - 4 ,  -6 - 7>  = <10, -13>

Answer:

it is 8.1

Step-by-step explanation:

if u see u round over or add 1 to the number if the number that is next to the number ur rounding is 5 or higher. and u do nothing when it is less than 5.

the tenth place is where the the zero is 0.0

and the number after is 6, so it is greater than 5, so it increases

Answer:8.1

Step-by-step explanation:

To round to the nearest tenth (the first decimal place), look at the number in the hundredth (the second decimal place) and round up or down. Since the number in the hundredths is a six, you round up.

You round down if the number is less than 5 and up if it is equal to or greater than 5.

The HCF of 210 and 308 = 14.

The greatest number that can divide the numbers in equal parts.

It is called as greatest common factor.

Given:

Two numbers are 210 and 308.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308.

The factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.

From the above factors,

HCF of 210 and 308 = 14.

Therefore, 14 is the required number.

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Step-by-step explanation:

Please have a look at the attached photo.

This question must be answered through a picture for your understanding

Hope it will find you well.

Answer:

-25,-18,-10,0,8

Step-by-step explanation:

Answer:

-25,-18,-10,0,8

Step-by-step explanation:

The more negative it is, the more less it is...so if you put them from least to greatest...it is...-25,-18,-10,0,8

Answer:

Both cos(17°) and sin(x°) can be represented by the ratio a/c. The angles measuring 17° and x° are complementary angles. This means x° + 17° = 90°

Therefore, x = 90-17 Since cos(17°)=sin(x°), this also shows that cos(17°)=sin( 90-17)°

this is the correct answer.

The required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°). Where 17° and x° are complementary angles

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.

In the given question,

Both sin(17°) and cos(x°) can be represented by ratio b/c because values of sin(17) and cos(x) are b/c.

Since 17° and x° are complementary angles, hence the value of x will be = 73 degrees. And sin(17°) = cos(x°), therefore sin(17°) = cos(90° - 17°).

Therefore, the required possibilities for the blanks as b/c, 90 degrees, (90° - 17°), and (90° - 17°).

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Answer:

10[tex]\pi[/tex] meters.

Step-by-step explanation:

We know that to calculate the circumference of a circle, you must use the formula C=d[tex]\pi[/tex].

Since he swam half-way around the island, we will need to take half of our final answer.

To solve, you can begin substituting in the diameter by:

C=20[tex]\pi[/tex]

Now, take half of this answer.

[tex]\frac{C}{2}[/tex]=10[tex]\pi[/tex].

Answer:

1032 yds

Step-by-step explanation:

Al =(a+b+c)h

Answer:

8.6 grams of the substance remains after 30 years.

The amount of the substance will drop to below 20 grams in 14 years.

Step-by-step explanation:

The amount of the substance after t years is given by the following equation:

[tex]A(t) = A(0)(1-r)^{t}[/tex]

In which A(0) is the initial amount and r is the yearly decay rate.

A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.

This means, respectively, that [tex]r = 0.05, A(0) = 40[/tex]

So

[tex]A(t) = A(0)(1-r)^{t}[/tex]

[tex]A(t) = 40(0.95)^{t}[/tex]

How much of the substance remains after 30 years (to the nearest tenth)?

This is A(30).

[tex]A(30) = 40(0.95)^{30} = 8.6[/tex]

8.6 grams of the substance remains after 30 years

When will the amount of the substance drop to below 20 grams (to the nearest year)?

This is t when A(t) = 20. So

[tex]A(t) = 40(0.95)^{t}[/tex]

[tex]20 = 40(0.95)^{t}[/tex]

[tex](0.95)^{t} = \frac{20}{40}[/tex]

[tex](0.95)^{t} = 0.5[/tex]

[tex]\log{(0.95)^{t}} = \log{0.5}[/tex]

[tex]t\log{0.95} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.95}}[/tex]

[tex]t = 13.51[/tex]

Rounding to the nearest year

The amount of the substance will drop to below 20 grams in 14 years.

1) The amount of substance that will remain after 30 years is; A(30) = 8.6 g

2) The time when the amount of the substance drop to below 20 grams is; t < 14 years

A(t) = A_o(e^(-rt))

Where;

A_o is initial amount

r is rate of decay

t is time in years

A(t) is amount left after t years

We are given;

A_o = 40 g

r = 5% = 0.05

1) To find the amount of substance left after 30 years is;

A(30) = 40 × e^(-0.05 × 30)

A(30) = 8.925 g

Approximating to the nearest tenth gives;

A(30) = 8.9 g

2) To find the time when the amount of the substance drop to below 20 grams.

20 > 40 × e^(-0.05 × t)

20/40 > e^(-0.05 × t)

-0.05t < In 0.5

t < (In 0.5)/-0.05

t < 13.86 years

Approximating to the nearest year gives;

t < 14 years

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Answer:

x=9, y=3

Step-by-step explanation:

-4x+6y=-18

y=-2x+21

-4x+6(-2x+21)=-18

-4x-12x+126=-18

144=16x

x=9

y=-2x+21

y=-18+21

y=3

Answer:

x=9, y=3

Step-by-step explanation:

Answer:

D. 1,019 square feet

Step-by-step explanation:

10x13x8 - 3x7

John will need to paint 347 square feet of wall in his rectangular basement after subtracting the area of the door that will not be painted.

John will paint the four walls of his rectangular basement. To calculate how many square feet of wall he will need to paint, we must first determine the total area of the walls and then subtract the area of the door.

The total wall area is calculated as follows:

Two walls are 10 feet long and 8 feet high, giving 2 x (10 x 8) = 160 square feet.

The other two walls are 13 feet wide and 8 feet high, giving 2 x (13 x 8) = 208 square feet.

So, the total wall area is 160 + 208 = 368 square feet.

The door measures 3 feet by 7 feet, which equals 21 square feet.

To find the area John will paint, we subtract the area of the door from the total wall area:

368 square feet - 21 square feet = 347 square feet

Therefore, John will need to paint 347 square feet of wall.

(100-9^2)/3

PEMDAS: parenthesis, exponents, multiply, divide, add, subtract

Lets' work on the parethesis first.

100-9^2

We can do the exponent first, 9^2=81, so 100-81=19

Then we divide and 19/3 is your final answer.

Answer:27.3 or 27

Step-by-step explanation:

100 -18= 83

83 divided by 3 is 27.3 or 27

Answer:

544

Step-by-step explanation:

you find the difference between 77 and 13 which is 64 then you multiply that by 8.5 and get your answer, i think

hope this helps!

Answer:

d)0 and 7 are solutions of the original equation.

Step-by-step explanation:

Let's solve your equation step-by-step.

w=√7w

Step 1: Flip the equation.

√7w=w

Step 2: Solve Square Root.

√7w=w

7w=w2(Square both sides)

7w=w2

7w−w2=w2−w2(Subtract w^2 from both sides)

−w2+7w=0

w(−w+7)=0(Factor left side of equation)

w=0 or −w+7=0(Set factors equal to 0)

w=0 or w=7

Check answers. (Plug them in to make sure they work.)

w=0(Works in original equation)

w=7(Works in original equation)

Answer:

x=-15

x=6

x=3

x=-21

Step-by-step explanation:

Answer: The first answer is A. vertical  stretch

Step-by-step explanation: The next one is B. vertical compression

The graph of the function y = 2^x represents a vertical stretch.

The given function is y = 2^x. To determine if it represents a vertical stretch or vertical compression, we need to examine the value of the coefficient in front of the exponent which is 2. If the coefficient is greater than 1, it represents a vertical stretch. If the coefficient is between 0 and 1, it represents a vertical compression. In this case, the coefficient is 2 which is greater than 1, therefore the graph of the function y = 2^x represents a vertical stretch.

Answer: P(A∪B)=0.72. The answer is provided below.

Step-by-step explanation:

Sue travels by bus or walks whenever she goes to the shops.

Probability of (catching the bus to shop ), P(A)= 0.4

Probability of (catching the bus from the shop ), P(B) = 0.7

Both of the events A and B are independent events.

Therefore, P(A∩B) = 0.4 × 0.7

 = 0.28

Probability that Sue walks one way will be = 1 - P(A∩B)

= 1 - 0.28

= 0.72

Hence, the probability that Sue will walk at one way is 0.72

Final answer:

To find the probability that Sue walks at least one way, we calculate the complement of the probability of her taking the bus both ways. The probability of Sue taking the bus to and from the shops is 0.4 times 0.7, which equals 0.28. The probability that she walks at least one way is then 1 minus 0.28, giving us 0.72.

Explanation:

The question involves calculating the probability that Sue walks at least one way to or from the shops, given the probabilities of her taking the bus. We are given that the probability of Sue catching the bus to the shops is 0.4 and from the shops is 0.7. To find the probability of walking at least one way, we consider the complement of the event that she takes the bus both ways.

Firstly, we calculate the probability that she takes the bus both ways:

P(Bus to and from shops) = P(Bus to shops) × P(Bus from shops) = 0.4 × 0.7 = 0.28

Now, the probability that she doesn't take the bus both ways (which means she walks at least one way) is the complement of the above event:

P(Walk at least one way) = 1 - P(Bus both ways) = 1 - 0.28 = 0.72

Therefore, the probability that Sue walks at least one way is indeed 0.72, as required to show.

Answer:

No, there are no inscribed angle in this diagram; Option D

Step-by-step explanation:

~ Let us apply process of elimination to solve this problem ~

Option 1. This first example states firstly that m∠SRT is an inscribed angle. That is not true, by definition an inscribed angle is an angle created by two chords that share a common endpoint. Neither RS nor RT are chords, in fact they each are radii, creating a central angle instead.

Option 2. m∠RST is not created by two chords, instead by arc ST and radii RS ⇒ and I believe I am not familiar with what angle it is reffered to, if at all it is named.

Option 3. As stated before, ∠SRT is not an inscribed angle; by definition an inscribed angle is an angle created by two chords that share a common endpoint, and neither RS nor RT are chords.

Option 4. Through elimination, Option D is the only possible answer left: Answer: No, there are no inscribed angle in this diagram

Answer: 120

Step-by-step explanation: If you multiply 480 by 0.75 (because 6/8 = 0.75) Then you will get 360. After doing so subtract 360 from 480 (480-350) and you will get 120

Answer: B

Step-by-step explanation:

For each year that a customer does not file a claim, their rate is reduced by 10%,

This means that every year that passes, we have a subtraction of a 10% (or 0.1 in decimal form)

And also for each yearm we have a credit of $5 awarded, this means that we have an addition of $5.

Then the relation is:

f(n + 1) = f(n) - 0.10*f(n) + $5

The correct option is B

Answer:

62.5%

Step-by-step explanation:

In this case we have the information we need to calculate the percentage because they give us the necessary experimental probability, we only have to pass the probability to its percentage form.

We know that probability can be converted to a percentage by multiplying the value of probability by 100, like so:

5/8 * 100 = 62.5

In other words, the probability that it will arrive at that time is 62.5%