Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3

Answer:

3/5

Step-by-step explanation:

Hope that this helped :)

Considering the volume of a cone, it is found that:

The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

For cone 1, we have that V = 0.5 x 28.875 = 14.4375 in³ and r = 2.25 in(half the diameter), hence:

[tex]\frac{\pi (2.25)^2h}{3} = 14.4375[/tex]

[tex]h = \frac{14.4375 \times 3}{\pi \times (2.25)^2}[/tex]

[tex]h = 2.72[/tex]

For cone 2, we have that V = 28.875 in³ and r = 3 in, hence:

[tex]\frac{\pi (2.25)^2h}{3} = 28.875[/tex]

[tex]h = \frac{28.875 \times 3}{\pi \times (3)^2}[/tex]

[tex]h = 3.06[/tex]

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Answer:

true

Step-by-step explanation:

The function p(t) for the number of visitors over 1-year is an exponential function

The function is given as:

p(t) = 119 + (t-83)e^0.02t

Start by plotting the graph of the function p(t).

From the graph (see attachment), we have the parameters to be:

Hence, the function has no critical point

Read mroe about critical points at:

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Answer:

18

Step-by-step explanation:

9 can be multiped by 2 to get to 18 :)

The y-intercept is (0,2)

The slope is -5/2.

           [tex]\frac{y2-y1}{x2-x1}=\frac{-3-2}{2-0} =\frac{-5}{2}[/tex]

Hope that helps!

Answer:

you cant see the picture

Step-by-step explanation:

The probability of selecting cheesecake and cookie is 9/100

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Total outcome = 3 + 3 + 4

Total outcome = 10

Pr(selecting cheesecake) = 3/10

Pr(selecting cookie) = 3/10

Pr(selectiing cheesecake and cookie) = 3/10 * 3/10

Pr(selectiing cheesecake and cookie) = 9/100

Hence the probability of selectiing cheesecake and cookie is 9/100

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Answer:

the value is 120 i think and 2 x-intercepts for the graph of f

Step-by-step explanation:

sorry if it's wrong

It's a arithmetic sequence

Nth term rule:-

[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\Rrightarrow a_n=3+(n-1)-4[/tex]

[tex]\\ \rm\Rrightarrow a_n=3-4n+4[/tex]

[tex]\\ \rm\Rrightarrow a_n=7-4n[/tex]

20th term

[tex]\\ \rm\Rrightarrow a_{20}=7-80=-73[/tex]

Answer:

Step-by-step explanation:

I haven't got time to do all these by I'll give you the method in each case.

You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.

A . Multiply  equation 2 by 2 and subtract (to eliminate x)

- don't forget to multiply EACH TERM by 2.

B. Multiply  equation 2 by -2 and add.

C.  Multiply  equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so  you then add to eliminate y.

D.  Multiply equation 1 by 13 and equation  and equation 2 by 2 to eliminate x then add.

The growth of the quantity is an illustration of an exponential function

The value of the quantity after 1.55 minutes is 76759.22

The given parameters are:

Initial value, a = 2000

Rate, r = 4%

An exponential growth function is represented as:

y = a(1 + r)^x

Substitute the value in the equation

y = 2000(1 + 4%)^x

After 1.55 minuted, x = 1.55 * 60

So, we have:

y = 2000(1 + 4%)^(1.55 * 60)

Evaluate the expression

y = 76759.22

Hence, the value of the quantity after 1.55 minutes is 76759.22

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Answer:

Step-by-step explanation:

9398.61

Answer:

6:8

Step-by-step explanation:

There are 6 squares and there are 8 triangles, just count them.

Answer:

3 : 4

Step-by-step explanation:

squares : triangles = 6 : 8 ( divide both parts by 2 )

                              = 3 : 4 ← in simplest form

Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

Answer:

x-y=3

Step-by-step explanation:

Answer:

[tex]x - y = 3[/tex]

is

[tex]y - 3 = (x - 6)[/tex]

in standard form

The general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].

A function is a rule that relates two variables.

The parent function is:

[tex]f(x)=cosx[/tex]

We know the period of the parent function is 2π and the amplitude is 1.

For an amplitude of 3, we need to multiply the parent function by 3.

So, the function with amplitude 3 will be given by:

[tex]f(x) =3cosx[/tex]

For a period of 4π,  we need to make the argument of the parent function half.

So, [tex]f(x) = 3cos(0.5x)[/tex]

A horizontal shift of negative π means, f(x) will become f(x+π)

So, [tex]f(x) =3cos(0.5x+\pi )[/tex].

Therefore, the general equation of a cosine function with an amplitude of 3, a period of 4 π, and a horizontal shift of negative π is [tex]f(x) =3cos(0.5x+\pi )[/tex].

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Answer:

Option C. y + 3cos (0.5(x+ pi))

:)

Answer:

Step-by-step explanation:

1)1100=50x22

2)315=15x21

3)2120=40x53

4)170=10x17

5)242=22x11

please rate and mask as brainlest.

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2.  To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

Answer:

A and B

A and C

A and D

B and C

B and D

C and D

Answer:

Step-by-step explanation:

Givens

pi = 3.14

d = 3.8

r = d/2

r = 3.8/2 = 1.9

Formula

V = (4/3) * pi * r^3

Solution

V = (4/3) * 3.14 * 1.9^3

V = 4/3 * 3.14 * 6.859

V = 28.7163

the quotient of m and 7 = m/7

Answer:

2,365,200,000 times

Step-by-step explanation:

Given :

To Find :

Solving :

Answer:

hope this helps :)

Step-by-step explanation:

Answer:

The answer is C. A triangle has a total angle of 180°, therefore C. is more than 180°

It would take about 3.4 seconds for the rocks to reach the ground.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let h represent the height of the rock above the ground after t seconds. Given the equation:

h = -16t² + 186

The rock would reach the ground at h = 0, hence:

0 = -16t² + 186

16t² = 186

t = 3.4 seconds

It would take about 3.4 seconds for the rocks to reach the ground.

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Answer:

1. 5 dimes

Step-by-step explanation:

5 dimes

Two quarters is $0.50.

1. 5 dimes = 5 * $0.10 = $0.50

2. 5 dimes + 1 nickel = 5 * $0.10 + $0.05 = $0.55

3. 4 dimes = 4 * $0.10 = $0.40

5. 4 dimes + 1 nickel = 4 * $0.10 + $0.05 = $0.45

The only amount of money that's equal to $0.50 is 1. 5 dimes

Answer:

240

Step-by-step explanation:

We need to find the coeffeicent of the binomial expansion of

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} [/tex]

Note that

[tex] - 2 {x}^{ - 2} = - \frac{2}{ {x}^{2} } [/tex]

The binomial theorem states that

[tex](x + y) {}^{n} = x {}^{n} y {}^{0} + \binom{n}{1} x {}^{n - 1} y + \binom{n}{2} x {}^{n - 2} y {}^{2} ....... + x {}^{0} y {}^{n} ( \binom{n}{n} )[/tex]

Using this, we let expand our series

[tex]( {x}^{3} - 2 {x}^{ - 2} ) {}^{10} = x {}^{30} + \binom{10}{1} ( {x}^{27} 2 {x}^{ - 2} ) + \binom{10}{2} {x}^{24} 2x {}^{ - 4} + \binom{10}{3} {x}^{21} 2x {}^{ - 6} + \binom{10}{4} {x}^{18} 2x { }^{ - 8} + \binom{10}{5} x {}^{15} 2x {}^{ - 10} + \binom{10}{6} x {}^{12}2 x {}^{ - 12} + \binom{10}{7} x {}^{ 9} 2x {}^{ - 14} + \binom{10}{8} x {}^{ 6} 2x {}^{ - 16} + \binom{10}{9} ( {x}^{3} )2x {}^{ - 18} + 2x {}^{ - 20} [/tex]

[tex] \frac{1}{ {x}^{5} } = x {}^{ - 5} [/tex]

So what term in the series eqaul x^-5.

That term is the 10 choose 7 term.

[tex] \binom{10}{7} {x}^{9} 2x {}^{ - 14} [/tex]

Because

[tex] = \binom{10}{7} 2x {}^{ - 14} {x}^{9} = \binom{10}{7} 2 {x}^{ - 5} [/tex]

So we need to compute 10 choose 7.

That equals

10!/3!(7!)= 10×9×8/6= 720/6=120.

So we get

[tex]120(2) {x}^{ - 5} [/tex]

[tex]240 {x}^{ - 5} [/tex]

So the coeffceint u

is 240

Answer:

the answer is (5g+4h)(5g-7h)

Step-by-step explanation:

25g^2-15gh-28h^2

=(25g^2+20gh)+(-35gh-28h^2)

=5g(5g+4h)-7h(5g+4h)

=(5g+4h)(5g-7h)

Answer:

Rate = 13.173% per year

Step-by-step explanation:

**Not 100% sure about this answer, but I think it's right.**

Calculation Steps:

Solving for rate r as a decimal

r = n[(A/P)^1/^nt - 1]

r = 1 × [(668.00/359.80)^1/^(1)^(5) - 1]

r = 0.131731

Then convert r to R as a percentage

R = r * 100

R = 0.131731 * 100

R = 13.173%/year