the volume of a cylinder with a height of 25cm and a radius of 20cm

Answers

Answer 1

Answer:

5652 cm³

Step-by-step explanation:

V = 2πr² + 2πrh

  = (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)

  = 2512 + 3140

  = 5652 cm³


Related Questions

The equation of a line is x = -4 what is the slope

Answers

The slope is undefined because it is a vertical line

Answer:

The slope is undefined.

Step-by-step explanation:

The vertical line equation has the form x = a (a - any real number).

The vertical line has an undefined slope.

We have x = -4. It's a vertical line. Therefore, the slope is undefined.

Please help and thank you

Answers

Answer:

D

Step-by-step explanation:

The Answer is D, first you would multiply A by 2, then divide it by h. You would then subtract b2 giving you D.

Answer:

The correct option is D

Step-by-step explanation:

See the image

What is the length of the unknown leg in the right triangle?

answers on second image.

Answers

The correct answer is 8 yd

Help me answer this question:/

Answers

Answer: [tex](f\°g)(0)=3[/tex]

Step-by-step explanation:

- For the function g(x) you must find the value of y (output value) when [tex]x=0[/tex]. As you can see in the graph (observe the parabola), when [tex]x=0[/tex] (input value), then:

[tex]y=2[/tex] or [tex]g(0)=2[/tex]

- Now, 2 will be the input value of the function f(x). Then,  you must find the value of y (output value) when [tex]x=2[/tex]. As you can see in the graph of this function, when [tex]x=2[/tex], then:

[tex]y=3[/tex] or [tex]f(2)=3[/tex]

Therefore, you can conclude that:

[tex](f\°g)(0)=3[/tex]

Evaluate the expression 5 to the second power (72-45) divided by 5

Answers

Answer:

Step-by-step explanation:

5^2(72-45)/5

25(27)/5

675/5

135

Final answer:

The evaluated expression of 5 to the second power (72 - 45) divided by 5 is 135. This is found by subtracting inside the parentheses, squaring the number 5, multiplying these results, and finally dividing by 5.

Explanation:

Evaluating the Expression

To evaluate the expression 5 to the second power (72 - 45) divided by 5, we follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). First, we calculate the value within the parentheses:

72 - 45 = 27

Next, we raise 5 to the second power (also known as squaring a number):

52 = 5 × 5 = 25

Now, we multiply this result by the value we found within the parentheses:

25 × 27 = 675

Last, we divide by 5:

675 ÷ 5 = 135

Therefore, the evaluated expression is 135.

Circus and animal trainers rely on conditioning to train animals to perform tricks. How does this conditioning work?
Question 5 options:


The trainer uses a stimulus, paired with a reward to get the response they want.


The animals inherit these amazing abilities from their parents.


The trainers can imprint certain behaviors on very young animal.


The animals are punished for their natural behaviors.

Answers

Answer: the trainer uses a stimulus, paired with a reward to ge the response they want.

Step-by-step explanation:

Find the roots of the polynomial equation.

Answers

Answer:

3 ± i5

Step-by-step explanation:

Here we're given four sets of possible roots of the given polynomial.   Each set consists of two complex quantities and 1 real quantity.

First, we determine whether +4 is a root, then whether -4 is a root.  Let's use synthetic division to do that:

     -----------------------

4   /  1   -2    10   136

             4      8    72

    ---------------------------

        1     2    18    208     Since the remainder is not zero, 4 is not a root.

Eliminate the first two possible answer choices, and assume that -4 is a root.

Let's check this out to be certain:

     -----------------------

-4  /  1   -2    10   136

             -4   24  -136

    ---------------------------

        1     -6    34    0

Since the rem. is zero, -4 is a root, and the coefficients of the 2nd-degree quotient are 1, -6 and 34.

In other words, a = 1, b = -6 and c = 34.

Let's apply the quadratic rule to find the roots:

       6 ± √(36 - 4[1][34] )       6 ± √ (-100)

x = ------------------------------ = ----------------------- = 3 ± i5

                     2                                   2

So the correct answer is the last one of the four given possible answers:

3 ± i5

Answer:

[tex]3+5i, 3-5i,-4[/tex]

Step-by-step explanation:

Given is a cubic equation in x as

[tex]x^3-2x^2+10x+136=0[/tex]

We know by remainder theorem if f(a) =0 then x=a is a root

Constant term = 136 has factors as 1,2,4,8, 17, 34

We find that f(a) not 0 for a =1,2.

[tex]f(1) = 144\\f(2) = 156\\f(-1) = 123\\f(-4) = -64-2(16)+10(-4)+136 = 0[/tex]

Hence [tex]x=-4[/tex] is one zero.

We can divide by x+4 to make it as a quadratic equation

[tex]x^3-2x^2+10x+136=(x+4)(x^2-6x+34)[/tex]

Now using quadratic formula we can find other roots

[tex]x^2-6x+34=0[/tex] has roots as

[tex]x=\frac{6+/-\sqrt{36-136} }{2} \\=3+5i, 3-5i[/tex]

Thus roots are

[tex]3+5i, 3-5i,-4[/tex]

The data set represents the number of miles Mary jogged each day for the past nine days

Answers

Answer:

0

Step-by-step explanation:

0 is the furthest away from the average.

The number 0 would be your outlier

The price of an item is $21.75. You give the cashier a $20 and a $10 bill. What is the change?

Answers

Answer:

$8.25

Step-by-step explanation:

We first need to find the amount of money we give the cashier

20+10 = 30

We give the cashier 30 dollars

Our bill was 21.75

30.00

-21.75

---------------

We need to borrow

2 10.00

-2 1  .75

---------------

We need to borrow

2 9. 10 0

-2 1  .7  5

---------------

We need to borrow

2 9. 9  10

-2 1  .7  5

---------------

  8 .2   5

We will get $8.25 back from the cashier

Answer:

Step-by-step explanation:

I gave total $20+$10= $30

$30-$21.75= $8.25

A commercial contractor needs to clear a plot of land for a new bank. Ryan can clear the lot in 7.5 hr. Ethan can do the same job in 10.5 hr. How long will it take them, working together, to clear the land ?

Answers

Answer:

[tex]4.4\ hours[/tex]

Step-by-step explanation:

we know  that

using proportion

Ryan

Find how much can clear in one hour

[tex]\frac{100}{7.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/7.5\\ \\x=13.33\%[/tex]

Ethan

Find how much can clear in one hour

[tex]\frac{100}{10.5}\frac{\%}{hours}=\frac{x}{1}\frac{\%}{hour}\\ \\x=100/10.5\\ \\x=9.52\%[/tex]

therefore

Ryan +Ethan in one hour can clear--------> [tex]13.33\%+9.52\%=22.85\%[/tex]

by proportion

[tex]\frac{100}{x}\frac{\%}{hours}=\frac{22.85}{1}\frac{\%}{hours}\\ \\x=100/22.85\\ \\x=4.4\ hours[/tex]

Plz help!!!!!!!!!!!!

Answers

Answer:   [tex]\bold{x^{\frac{1}{3}}}[/tex]

Step-by-step explanation:

[tex]\sqrt[6]{x^2} =x^{\frac{2}{6}}=x^{\frac{1}{3}}[/tex]

That seem to be right

What's the volume of a pipe at a port that is 4 feet in diameter 24 ft long
A. 603.1872
B. 150.7968
C. 314.1632
D. 301.5936

Answers

answer: D

explanation:

volume is equal to length * surface area.

surface of a tube base is a circle, so it' surface are can be calculated as:

[tex]\pi \: {r}^{2} [/tex]

where r is a radius

[tex] r \: = \frac{1}{2} diameter[/tex]

so you calculate volume V as:

[tex]v \: = \pi( {r}^{2} ) \times length \: = \pi \times \frac{1}{4} \times {diameter}^{2} \times length[/tex]

[tex]v = 3.14 \times \frac{1}{4} \times 4 \times 4 \times 24 = 301.44[/tex]

so the answer is D

Please help I’m really stuck !!

Answers

The number in the parenthesis is the X value and they are looking for what the Y value is at that specific X.

So when you look at f(-2), find the Y value where the line crosses.

At X-2, the line crosses Y at -2

At X = 2, the line crosses at Y = 2

At X = 4, the line crosses at Y = 1

The answer is -2,2,1

Use the quadratic formula to solve Round irrational solutions to the nearest tenth

Answers

Answer:

C. x = -5.6 and x = -1.4

Step-by-step explanation:

The quadratic formula is [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]. Here a=1, b=7, and c=8.

Substitute and you'll have:

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a} =\frac{-7+/-\sqrt{7^2-4(1)(8)} }{2(1)}=\frac{-7+/-\sqrt{49-32} }{2)}[/tex]

[tex]\frac{-7+/-\sqrt{17} }{2}=\frac{-7+/-4.1 }{2}= -1.4, -5.6[/tex]

What is the surface area of the triangular prism?

Answers

Answer: A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. The formula  A=1/2 bh

What 1/4 plus 1/2 is

Answers

Answer:

the answer is 3/4

Step-by-step explanation:

Answer:

The correct answer is 3/4

Step-by-step explanation:

1/2+1/4=3/4

Is 63 cm greater than less than or = to 6 m

Answers

63cm is smaller than 6 m

63 cm is less than 6 m. A centimeter is a small unit used to measure length. It is equal to one hundredth of a meter. The term "centi" is used in the International System of Units to represent 1/100 of something.

What is the centimeter?

To look at the lengths of 63 cm and 6 m, one need to ensure that both values are in the same unit of measurement. Since 6 m is in meters, we should convert 63 cm to meters before making the comparison.

1 meter is equal to 100 centimeters, so one can convert 63 cm to meters by dividing it by 100:

63 cm = 63/100 m = 0.63 m

So,  both values are in meters, and one can compare them:

0.63 m < 6 m

Therefore,  one can say that 63 cm is less than 6 m.

Read more about  centimeter   here:

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You randomly draw a marble from a bag of marbles that contains 333 blue marbles, 444 green marbles, and 555 red marbles.
What is \text{P(draw a blue marble})P(draw a blue marble)P, left parenthesis, d, r, a, w, space, a, space, b, l, u, e, space, m, a, r, b, l, e, right parenthesis?

Answers

Answer:

1/4 or 0.25

Step-by-step explanation:

Isn't latex a devil?

You want to know the probability of a blue marble.

Formula

P(blue) = #Blue / # Total

Givens

#Blue = 333

#Total = 333 + 444 + 555 = 1332

Solution

P(blue) = 333 / 1332      Divide by 111

P(blue) = 3/12

P(blue) = 1/4 or 0.25

Answer:

1/4 or 0.25

Step-by-step explanation:

Assume that a DVD player loses 60% of its value every year it is a video store. Suppose the initial number of the DVD player was $80.
What multiplier would you use to calculate the DVD players new values

Answers

a.)0.4 is the multiplier

b.)$32 after 1 year, $2.048(or $2.05) after 4 years

c.)V(t) = 80(0.4)t

d.)10 years because it will be below 2 cents

e.) [The graph isn't hard, you just have to plug in the numbers into y=80(0.4)^x]

The multiplier we would use to calculate the DVD players is [tex]80(0.4)^x[/tex].

What is exponential decay and exponential rise ?

We get exponential rise when the base of the variable exponent is greater than 1 and exponential decay when base is less than 1.

According to the given question a DVD player loses 60% of its value every year it is a video store.

Also given that the initial value of the DVD player was 80 dollars.

If every years it looses 60% of it's value means it retains it's 40% value and 40% in decimal or fraction can be written as 40/100 = 4/10 = 2/5 = 0.4.

Let us denote the numbers of years by x.

∴ To calculate DVD player value each year after year we'll use [tex]80(0.4)^x[/tex] and it will be an exponential decay as multiplies is less than 1.

learn more about exponential decay and exponential rise here :

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How to solve this equation

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{x^2=81}[/tex][tex]\bold{Take\ your\ particular\ root\ (square\ root\ preferably)}[/tex][tex]\rightarrow{\bold{x=\pm\sqrt{81}}}[/tex][tex]\bold{\frac{\sqrt{81}}{9}=9}[/tex][tex]\boxed{\boxed{\bold{Answer:x\rightarrow9\ or\ x\rightarrow-9}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

find the surface area of a prism​

Answers

The surface area of a rectangular prism is SA = 2wl + 2lh + 2hw

Answer:

There is no prism

Step-by-step explanation:

What is the exact circumference of a circle with a diameter 15 inches

Answers

The exact circumference of a circle with a diameter of 15 inches is 41.72 inches

the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pressure is 25 pounds per square inch. what is the pressure when the volume is 125 cubic inches ​

Answers

Answer:

The pressure is [tex]20\ psi[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]V*P=k[/tex]

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For [tex]V=100\ in^{3}[/tex],[tex]P=25\ psi[/tex]

step 1

Find the value of k

substitute the values of V and P

[tex]100*25=k[/tex]

[tex]k=2,500[/tex]

The equation is equal to  [tex]V*P=2,500[/tex]

step 2

Find the pressure when the volume is 125 cubic inches

For [tex]V=125\ in^{3}[/tex]

substitute in the equation and solve for P

[tex]125*P=2,500[/tex]

[tex]P=2,500/125=20\ psi[/tex]

The directions are write and solve two step equations

Answers

Answer:

Sarah is 22

Step-by-step explanation:

64 times 4 =44

44 divided by 2= 22

point q is the midpoint on line segment pr. the coordinates of point P are (-5, -3) and the coordinates of point Q are (-2, -6)

What is the y coordinate of point R?

Answers

Answer:

The y coordinate of point R is  [tex]-9[/tex]

Step-by-step explanation:

we know that

The formula to calculate the midpoint between two points is equal to

[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

In this problem

[tex]R(x2,y2)[/tex]

[tex]Q(-2,-6)=(\frac{-5+x2}{2},\frac{-3+y2}{2})[/tex]

so

[tex]-2=(-5+x2)/2[/tex] --->[tex]x2=-4+5=1[/tex]

[tex]-6=(-3+y2)/2[/tex] --->[tex]y2=-12+3=-9[/tex]

therefore

The y coordinate of point R is  [tex]-9[/tex]

Circle A has area 500 in2. The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B.

Answers

Answer:

456.5

Step-by-step explanation:

The area of circle B is 4,500.81 inches².

The first step to take in order to determine the answer is to determine the value of the diameter of circle B.

Area of a circle = πr²

Where :

π = pi = 3.14

R = radius

500 = 3.14r²

r = √(500 / 3.14)

r = 12.62 inches

Diameter = 2 x radius

2 x 12.62 = 25.24 inches

The second step is to determine the diameter of circle B.

Dimeter of circle B = 3 x 25.24 inches = 75.72 inches

Radius of circle B = 75.72 inches / 2 = 37.86 inches

Determine tie area of circle B

Area of circle B = 3.14 x 37.86² = 4,500.81 inches²

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Paul sketches a right triangle with legs of lengths a and b and a hypotenuse of length h. He writes an equation that relates a, b, and h, and then solves it for h. Which of the following is the solution
for h that Paul writes?

Answers

Answer:

D.

Step-by-step explanation:

The pythagorean theorem says that a²+b²=h², therefore h = [tex]\sqrt{a^{2} +b^{2} }[/tex].

Based on Pythagorean theorem, the best solution for h that Paul writes is [tex]h=\sqrt{a^2 + b^2}[/tex]

What is Pythagorean Theorem?

Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]h^2 = a^2 + b^2[/tex]

Where:

h is the hypotenuse.a is the adjacent side.b is the opposite side.

Simplifying further, we have:

[tex]h^2 = a^2 + b^2\\\\h=\sqrt{a^2 + b^2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

Simplify: 3^2 * 3^4

Answers

3^2 = 9

3^4= 81

9 x 81 = 729

Your answer is 729 . Good luck (:

So far John has run 1/4 of the way to school and walked 3/8 of the way what fraction of the distance to school does John have left?

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ We know that the total amount of distance he has to go is 8/8.

Add 3/8 and 1/8.

3/8+1/8=4/8. He went half of the way already.

Since he needs 8/8 and he already went 4/8, he has 4/8 left, or 1/2 left to go.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

DOGE

can somebody please help me find the volume of this triangular prism?

Answers

Check the picture below.

the volume of the prism will simply be the product of the triangular area and its length, it has a length of 8, thus

[tex]\bf \stackrel{\textit{area of a triangle}}{A=\cfrac{1}{2}bh}~~ \begin{cases} b=9\\ h=6 \end{cases}\implies A=\cfrac{1}{2}(9)(6)\implies A=27 \\\\\\ \stackrel{\textit{volume of the triangular prism}}{V=27\cdot 8}\implies V=216[/tex]

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