Find the exact volume of the cylinder?

471 cm³
60π cm³
180π cm³
150π cm³

Answer:

I don't know

Step-by-step explanation:

You gave me the wrong answer on study island.

Answer:

2.4 is the correct answer

Answer:

a. 3

Step-by-step explanation:

[tex]6 {x}^{2} - 3x + 18 \\ \\ = 3(2 {x}^{2} - x + 6) \\ \\ GCF = 3[/tex]

the greatest common factor of 6x2 – 3x + 18 is 3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

Here, given that,

6x2 – 3x + 18

=3×(2x2-x+6)

Hence, the greatest common factor of 6x2 – 3x + 18 is 3.

To learn more on multiplication click:

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5km :20min

? km :100min

here you do cross multiplication.

SOLUTION:

5×100=500

500÷20=25KM

DONE!!!!

Step-by-step explanation:

This is called direct propotion where you do cross multiplication!!

keep that in mind

Answer:

The radius is 8.5

Step-by-step explanation:

Mathematically, the radius of a circle is the distance from the center of the circle to its circumference

Thus, as we have here;

The two marked lengths are radii of the inner inscribed circle and this means that they are equal in length

thus;

x + 6 = 5x-4

5x - x = 6 + 4

4x = 10

x = 10/4

x = 2.5

Now, to get the radius length, substitute the value of x in any of the lengths

from x + 6

2.5 + 6 = 8.5

Answer:

As per above two statements we have:

and

Answer:

y=58×2=116 central angle of the cyclic quadrilateral is double if inscribed angle

z=90/2=45

inscribed angle is half of central angle of the cyclic quadrilateral

Answer:

No

Step-by-step explanation:

the quantities are not proportional because 7/8 is greater than 2/4. Hope this helps!

Answer:

no it isn't

Step-by-step explanation:

Noooooooooooo

Answer:

Step-by-step explanation:

I believe it is b

Answer:

Sure, where is the activity

Answer:

where is it?

Step-by-step explanation:

Answer:

The ordered pairs for 1 and 3 are:

(1,2) (3,8)

Now use the slope formula:

(y2-y1)/(x2-x1)

(8-2)/(3-1)= 6/2 = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

1       1                   1         11

2      2                  2        22

3      3                    

4      4

and now u see the first i think

Answer:

m∠C = 66°

Step-by-step explanation:

Since AB = BD, it means this triangle is an Isosceles triangle and as such;

∠BAD = ∠BDA = 24°

Thus, since sum of angles in a triangle is 180,then;

∠ABD = 180 - (24 + 24)

∠ABD = 180 - 48

∠ABD = 132°

We are told that BC = BD.

Thus, ∆BDC is an Isosceles triangle whereby ∠BCD = ∠BDC

Now, in triangles, we know that an exterior angle is equal to the sum of two opposite interior angles.

Thus;

132 = ∠BCD + ∠BDC

Since ∠BCD = ∠BDC, then

∠BCD = ∠BDC = 132/2

∠BCD = ∠BDC = 66°

Answer:

x = 3/16

Step-by-step explanation:

Square's perimeter must equal triangle's perimeter.  Using the given formulas for the two different perimeters, we obtain the equation

5x + 6 = 3(7x + 1), where 5x + 7 includes all four sides of the square and

7x + 1 includes all three sides of the triangle.

Performing the indicated multiplication, we get 5x + 6 = 21x + 3.

Combining like terms results in 3 = 16x.

Solving this last equation for x, we get x = 3/16.

Answer:

C. 3(x+5)

Step-by-step explanation:

hope this helps

Answer:

h<=4

Step-by-step explanation:

-9h+3<=-7h-5

-9h+7h<=-5-3

-2h<=-8

h<=4

Answer: x>1/2y+5/2 look at the picture it going to be the graph

Step-by-step explanation: Hope this help :)

Answer: A.26

Step-by-step explanation:

= 3f+g

= 3 (6)+8

=26

Answer:

area = 92 yd²

Step-by-step explanation:

13x8 = 104

3x8x0.5 = 12

104 - 12 = 92 yd²

Answer:

Step-by-step explanation:

Answer:

5 < 8

-4 < 0

0 < 4

-5 < 5

-9 > -19

-5 > -8

Step-by-step explanation:

Remember, the "Alligator" or better known as the "Packman" symbol (  >  <  )

It will always want to "eat" the bigger number. so, 8 is bigger than five, so the "Packman" will want to go after the bigger number. 5 < 8

Answer:

(a) The equation for the number of bacteria at time t ≥ 0 is [tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The average population in the bacteria for 0 ≤ t ≤ 10 is 29,482 bacteria

(c)  The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Step-by-step explanation:

(a) The given rate of growth of the bacteria population is;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

The initial amount of bacteria = 200

At time, t ≥ 0, we have;

[tex]\dfrac{dy}{y} = 0.5 \cdot dt[/tex]

[tex]\int\limits {\dfrac{dy}{y} } = \int\limits {0.5} \, dt[/tex]

ln(y) = 0.5·t + C

[tex]y = e^{0.5 \cdot t + C}[/tex]

[tex]y = C_1 \cdot e^{0.5 \cdot t }[/tex]

When, t = 0, y = 200, we have;

[tex]200 = C_1 \cdot e^{0.5 \times 0 } = C_1[/tex]

C₁ = 200

The equation for the number of bacteria at time t ≥ 0 is therefore given as follows;

[tex]y = 200\cdot e^{0.5 \cdot t }[/tex]

(b) The expression for the average number of bacteria in the population for 0 ≤ t ≤ 10 is given as follows;

[tex]y = \int\limits^t_0 {0.5 \cdot y} \, dt[/tex]

[tex]y = \int\limits^{10}_0 {0.5 \cdot 200\cdot e^{0.5 \cdot t }} \, dt = \left[200\cdot e^{0.5 \cdot t }\right]^{10}_0 \approx 2,9682.6 - 200 = 29,482.6[/tex]

The average population in the bacteria for 0 ≤ t ≤ 10 is therefore, y = 29,482

(c)  The average rate of growth after 10 hours of growth is given as follows;

[tex]\dfrac{dy}{dt} = 0.5 \cdot y[/tex]

[tex]\dfrac{dy}{dt} = 0.5 \cdot 200\cdot e^{0.5 \cdot 10 } = 14,841.32 \ Bacteria/hour[/tex]

The growth rate of the bacteria in the first 10 hours is 14,841 Bacteria/hour

Population functions can either represent growth or decays.

The given parameter is:

[tex]\frac{dy}{dt}= 0.5y[/tex]

(a) Solve for y

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Integrate both sides

[tex]\int \frac{dy}{dt}= \int 0.5y[/tex]

Divide both sides by y, and multiply both sides by dt

[tex]\int \frac{dy}{y}= \int 0.5\ dt[/tex]

Integrate both sides of the equation

[tex]\ln(y) = 0.5t +c[/tex]

Take the exponent of both sides

[tex]y = e^{0.5t +c}[/tex]

This gives

[tex]y = ce^{0.5t}[/tex]

When t = 0, and y = 200.

So, we have:

[tex]200 = ce^{0.5 \times 0}[/tex]

[tex]200 = ce^{0}[/tex]

Evaluate the exponent

[tex]200 = c[/tex]

Rewrite as:

[tex]c = 200[/tex]

Substitute 200 for c in [tex]y = ce^{0.5t}[/tex]

[tex]y = 200e^{0.5t}[/tex]

Hence, the equation for y is [tex]y = 200e^{0.5t}[/tex]

(b) The average number of bacterial for 0 ≤ t ≤ 10.

The average value of the function is calculated as:

[tex]y' = y(10) - y(0)[/tex]

Calculate y(0) and y(10)

[tex]y = 200e^{0.5t}[/tex]

[tex]y(0) = 200e^{0.5(0)}= 200[/tex]

[tex]y(10) = 200e^{0.5\times 10} =29682.6318205[/tex]

So, we have

[tex]y' = y(10) - y(0)[/tex]

[tex]y' = 29682.6318205 - 200[/tex]

[tex]y' = 29482.6318205}[/tex]

[tex]y' = 29483[/tex]

Hence, The average number of bacterial for 0 ≤ t ≤ 10 is 29483

(c) The average rate over the first 10 hours of growth

We have:

[tex]\frac{dy}{dt}= 0.5y[/tex]

Substitute [tex]y = 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 0.5 \times 200e^{0.5t}[/tex]

[tex]\frac{dy}{dt}= 100e^{0.5t}[/tex]

When t = 10, we have:

[tex]\frac{dy}{dt}= 100e^{0.5 \times 10}[/tex]

[tex]\frac{dy}{dt}= 100e^{5}[/tex]

[tex]\frac{dy}{dt}= 14841[/tex]

Hence, the average rate over the first 10 hours of growth is 14841

Read more about population growth functions at:

https://brainly.com/question/20115298

Answer:

21

Step-by-step explanation:

Answer:

Answer is A! 38 degrees

Step-by-step explanation:

opposite side is the same

Answer:

1/8

Step-by-step explanation:

plz brainliest

Answer:

5.625 pounds or 5 5/8 pounds

Step-by-step explanation:

(2 1/4)/24 = weight of one golf ball = 0.09375

0.09375 x 60 = 5.625 pounds or 5 5/8 pounds

Answer:

5.625 pounds or 5 5/8 pounds as a fraction

Step-by-step explanation:

Answer:

FV= $1,448.01

Step-by-step explanation:

To calculate the future value of the investment, we need to use the following formula using both interest rates:

FV= PV*(1+i)^n

Interest 6% compounded semmiannually:

i= 0,06/2= 0.03

n= 2*3= 6 semesters

FV= 1,000*(1.03^6)

FV= $1,194.05

Interest 6.48% compounded quarterly:

i= 0.0648/5= 0.0162

n= 3*4= 12 quarters

FV= 1,194.05*(1.0162^12)

FV= $1,448.01

Answer:

(4, 3)

Step-by-step explanation:

Plug in x - 1 where y is. The equation will turn in 2x - 3(x - 1) = -1. Distribute, and you'll have 2x -3x + 3 = -1. Combine like terms (2x and -3x) and you'll have -x + 3 = -1. Subtract 3 from both sides, and you'll have -x = -4. Divide by -x (or -1) on both sides, and you'll have x = 4. Since y = x - 1, y = 3, since 4 - 1 = 3. Sorry if this sounds repetitive btw. Good luck :D