What is the volume of a cylinder that is 15-m tall and has a radius of 3 m. Use 3.14 for π, and round your answer to the nearest cubic meter.

A. 141 m3
B. 283 m3
C. 339 m3
D. 424 m3

Answer:

Multiply ; (5 ×2)

Step-by-step explanation:

Further explanation

[tex]6-3+5\cdot \:2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:2\::\quad 10\\=6-3+10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6-3+10\:\\:\quad 13[/tex]

Answer:

Step-by-step explanation:

Idkkkkkkk

Answer:

y≥1/2 x +1

Step-by-step explanation:

first the line in the graph is bold and not dotted

so the sign is either ≤ or≥

the shaded area is on the top , on this case it is greater than

the right answer is y≥1/2 x +1

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Answer in the comments please

Answer:

[tex]3.14r[/tex] or [tex]\pi r[/tex]

Step-by-step explanation:

Given:

A semicircle.

To find:

Arc length of the semicircle = ?

Solution:

Formula for angle subtended by an arc on the center of circle is given as:

[tex]\theta = \dfrac{l}{r}[/tex]

where [tex]l[/tex] is the arc length and

[tex]r[/tex] is the radius of semicircle.

Angle of full circle is [tex]2\pi[/tex]

So, angle of semicircle = [tex]\pi[/tex]

Using the formula, we can see that:

[tex]l = \theta \times r[/tex]

[tex]\Rightarrow l = \pi \times r\\\\OR\\\Rightarrow l = 3.14r[/tex]

So, the answer is:

Arc Length of semicircle = [tex]3.14r[/tex] or [tex]\pi r[/tex]

Answer:

The answer is 15.7

Step-by-step explanation:

The tutor got it wrong this is the right one on khan academy

Answer:

proper fractions:

4/10=0.4(decimal form)

5/100=0.05(decimal form)

1000/10000=0.1(decimal form)

2/4=0.5(decimal form)

11/55=0.2(decimal form)

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Assuming this interpretation is correct:

24 and a quotient of 3 will lead to 8

And the sum of 24 and 8 is 32.

Cheers.

There are many answers to this question.

For example:12+2=24 and 12/4=3.

Answer:a=-13

—-

4

Step-by-step explanation:

[tex]\circ\sf\:-7x+y^3+7x^3+6x-3y^3-2x^3+3x[/tex]

[tex]\circ\sf\:(-7x+6x+3x)+(y^3-3y^3)+(7x^3-2x^3)[/tex]

[tex]\circ\sf\:(-7x+9x)+(-2y^3)+(5x^3)[/tex]

[tex]\circ\sf\:2x-2y^3+5x^3[/tex]

[tex]\circ\:\underline{\boxed{\bf{\blue{x(2-5x^2)-2y^3}}}}[/tex]

Answer:

11x² - y

Step-by-step explanation:

Step 1: Write out expression

10x² - y + x²

Step 2: Combine like terms

11x² - y

That is simplest form.

Answer:

[tex]\huge \boxed{11x^2-y}[/tex]

Step-by-step explanation:

[tex]10x^2 -y + x^2[/tex]

Grouping like terms.

[tex](10x^2 + x^2)-y[/tex]

Combining like terms.

[tex](11x^2)-y[/tex]

Answer:

124

Step-by-step explanation:

we are given 146 right away.

That little square means a 90 degree angle

146 + 90 = 236

360 - 236 = 124

(360 degrees is the sum of a complete circle.)

The measure of the arc (ABC) is 270 degree.

In plane geometry, an angle is a shape made up of two rays or lines with the same terminal.

Angle can be used to measure any angular rotational motion since it cannot be measured in terms of length parameters like metres or inches. Instead, it is measured as an angle in terms of degrees or radians.

As we know that the angle of complete rotation is 360°.

So, ∠ADC + ∠ABC = 360

We know ∠ADC = 90°

Then, ∠ABC = 360° - 90°

∠ABC = 270°

Learn more about Angle here:

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Answer:

250.50 - 35m = 300 - 45.25m

Step-by-step explanation:

Whenever an equation asks for when it will take x (or m in this case) amount of things or time you should know that there will be 2 different equations that have to equal each other

The equation will be 250.50 - 35m = 300 - 45.25m

The 35m is being subtracted from 250.50 because they are losing money each time they spend. This also applies to 45.25m

Also 35m and 45.25m are variables because it says they spend that much money each month. They don't specify how many months, so we have to put a variable after it.

Answer:

b) 250.5 – 35m = 300 – 45.25m

Step-by-step explanation:

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Answer: 933.12 inches

Step-by-step explanation:

Givem that Marta has 1 cubic yard of sand to build a wall in the shape of a rectangular prisim that is 10 inches tall and 5 inches wide to the nearest foor 

1 cubic yard = 46656 cubic inches

Volume = Length × width × height

Substitute all the parameters

46656 = 10 × 5 × height

46656 = 50 height

Height = 46656 / 50

Height = 933.12 inches

Answer:

x=-y/4 +6

Step-by-step explanation:

First, y to each side.

-4x=y+24

Second, leave the x by itself by dividing both sides by - 4.

x=-y/4 +6

Answer:

Hey there!

Scatter plot D illustrates a positive linear relationship.

Let me know if this helps :)

Simplified would be 4xy + 3x^2 + 6x

Answer:

4xy+3x²+6x

Step-by-step explanation:

Its not factorable

(make sure you typed it up right)

Answer:

Step-by-step explanation:

Answer:   20 ounces box of cheerios is cheaper.

Step-by-step explanation:

If 10 ounce box of cheerios cost $2.80  and 20 ounce cost $5.20  then to find which is cheaper, you need to find the unit price which is the cost of an ounce.

Divide the money by the amount of ounces.

2.80 / 10 =   0.28   which is 28 cents per ounce.

5.20/20 =  0.26  which is 26 cents per ounce.

So the 20 box of cheerios is cheaper because it is 2 cents less.

Answer:

2·x²+4

Step-by-step explanation:

The sum is an answer to an addition problem and 2 times a number means to multiply by 2.  That number is squared so you it's to the second power.

Answer:

2•n^2+4=sum

Step-by-step explanation:

If two times a

number squared and four = sum,

then 2 • n^2 + 4 = sum

Answer:

Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Step-by-step explanation:

Option D is correct, given f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative.

A relation is a function if it has only One y-value for each x-value.

Function composition is not commutative in general, meaning that (fog)(x) is not equal to (gof)(x) for all functions f and g.

Let f(x) = 4x and g(x) = x², for which function composition is not commutative.

If we compose f and g, we get:

(fog)(x) = f(g(x)) = f(x²) = 4x²

If we compose g and f, we get:

(gof)(x) = g(f(x)) = g(4x) = (4x)² = 16x²

Since (fog)(x) is not equal to (gof)(x) for all x, we can conclude that function composition is not commutative in this case.

Hence,  f(x) = 4x and g(x) = x², (fog)(x) = 4x² and (gof)(x) = 16x², so function composition is not commutative, option D is correct.

To learn more on Functions click:

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Complete Question: In the diagram below, <DAB and <DAC are adjacent angles. If m<DAC = 25°, what is m<DAB in degrees? What is m<BAC in degrees?

Answer:

m<DAB = 80°

m<BAC = 105°

Step-by-step explanation:

Generate an equation that will help you find the value of x.

Since m<DAC = 25°, therefore, x - 20 = 25°

Use this equation to find x

x - 20 = 25

Add 20 to both sides of the equation

x - 20 + 20 = 25 + 20

x = 45

m<DAB = 2x - 10

Plug in the value of x

m<DAB = 2(45) - 10 = 90 - 10 = 80°

m<BAC = m<DAC + m<DAB

m<BAC = 25 + 80 = 105°

Answer:

If you had a three person relay race and you all took 20 seconds each, how long did your race last? hope this will help :)

Answer:

  8 87/100 = 887/100

Step-by-step explanation:

"Eight and eighty-seven hundredths" is ...

  8 87/100 = 887/100

Answer:

Step-by-step explanation:

Convert to a fraction by placing the decimal number over a power of  

10

.

887

100

Answer:

Bill spent $988 on taxes.

Step-by-step explanation:

First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:

$6,000*0.4=$2,400

Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.

Let's consider that:

x=taxes

y=groceries

With the information we can write the following:

x+y=2,400 (1)

x=0.7y (2)

You can replace 2 in 1:

0.7y+y=2,400

1.7y=2,400

y=2,400/1.7

y=1,412

Then, you can replace the value of y in 2:

x=0.7(1,412)

x=$988

According to this, Bill spent $988 on taxes.

Answer:

I think K = 10.5

Step-by-step explanation:

First you would do the division of 2/4 which equals 0.5. Now the equation is k-0.5 = 10. If you flip the equation around it is 10 + 0.5 = k. Now you would know that k = 10.5 to check it does 10.5 - 0.5 = 10? Yes.

Answer:

3.98 cm, 602.18 cm²

Step-by-step explanation:

Given:

To find:

Solution:

Answer:

278.482 kilograms of water must be evaporated each hour.

Step-by-step explanation:

Initial mass of cereal is equal to the product of cereal mass-to-mass ratio and total mass flow:

[tex]\dot m_{in,c} = r_{in,c}\cdot \dot m_{in}[/tex]

Where:

[tex]\dot m_{in,c}[/tex] - Inlet cereal mass flow, measured in kilograms per hour.

[tex]r_{in,c}[/tex] - Inlet cereal mass ration, dimensionless.

[tex]\dot m_{in}[/tex] - Cereal product mass flow, measured in kilograms per hour.

If [tex]r_{in,c} = 0.57[/tex] and [tex]\dot m_{in} = 1000\,\frac{kg}{h}[/tex], then:

[tex]\dot m_{in,c} = (0.57)\cdot \left(1000\,\frac{kg}{h} \right)[/tex]

[tex]\dot m_{in,c} = 570\,\frac{kg}{h}[/tex]

The initial mass flow of water is:

[tex]\dot m_{in,w} = \dot m_{in} - \dot m_{in, c}[/tex]

[tex]\dot m_{in,w} = 1000\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]

[tex]\dot m_{in,w} = 430\,\frac{kg}{h}[/tex]

Given that final total mass flow contains only 21 % water, the final water mass flow, measured in kilograms per hour, is:

[tex]\dot m_{out} = \frac{\dot m_{out, c}}{r_{out, c}}[/tex]

([tex]\dot m _{out, c} = 570\,\frac{kg}{h}[/tex], [tex]r_{out} = 0.79[/tex])

[tex]\dot m_{out} = \frac{570\,\frac{kg}{h} }{0.79}[/tex]

[tex]\dot m_{out} =721.518\,\frac{kg}{h}[/tex]

[tex]\dot m_{out,w} = \dot m_{out} - \dot m_{out, c}[/tex]

[tex]\dot m_{out,w} = 721.518\,\frac{kg}{h}-570\,\frac{kg}{h}[/tex]

[tex]\dot m_{out,w} = 151.518\,\frac{kg}{h}[/tex]

Finally, the amount of water that must be evaporated per hour is:

[tex]\dot m_{evap} = \dot m_{in,w}-\dot m_{out,w}[/tex]

[tex]\dot m_{evap} = 430\,\frac{kg}{h} - 151.518\,\frac{kg}{h}[/tex]

[tex]\dot m_{evap} = 278.482\,\frac{kg}{h}[/tex]

278.482 kilograms of water must be evaporated each hour.

Answer:

x +4

Step-by-step explanation:

3x-4+2x+8

Combine like terms

3x+2x  -4+8

x +4

Answer:

5x + 4

Step-by-step explanation:

3x - 4 +2x * 8

Combine 3x and 2x

5x - 4 +8

Combine -4 and 8

5x + 4