What is the value of w?
w
36°

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:

Step-by-step explanation:

1)1100=50x22

2)315=15x21

3)2120=40x53

4)170=10x17

5)242=22x11

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Answer:

2,365,200,000 times

Step-by-step explanation:

Given :

To Find :

Solving :

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

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:

y-9=8

Step-by-step explanation:

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:

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:

true

Step-by-step explanation:

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:

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

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

Answer:

x-y=3

Step-by-step explanation:

Answer:

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

is

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

in standard form

Answer:

C = 55h + 95

Step-by-step explanation:

That is the equation, I can't see a table but I'm assuming you would be given hours worked, so plug that in for the h value and solve to get a cost in $.

For example, if he worked for 2 hours then

C = 55(2) + 95

C = 110 + 95

C = $205

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Answer:

A and B

A and C

A and D

B and C

B and D

C and D

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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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:

3/5

Step-by-step explanation:

Hope that this helped :)

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:

X=-1

Y=-8

Step-by-step explanation:

8x+y=-16

3x-y=5

11x=-11

x=-1

8x+y=-16

8(-1)+y=-16

-8+y=-16

y=-16+8

y=-8

3x-y=5

3(-1)-y=5

-3-y=5

-y=5+3

-y=8

y=-8

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

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Answer:

you cant see the picture

Step-by-step explanation:

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:

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:

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.

Answer:

18

Step-by-step explanation:

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

Answer:

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

Answer:

hope this helps :)

Step-by-step explanation:

the quotient of m and 7 = m/7