Find the volume of a sphere that has a radius of 6 in

Answer:

Sn = -9(1-(-3)^n)/4

Step-by-step explanation:

Since r < 1, the sum of nth term of a geometric sequence is expressed as;

Sn = a(1-r^n)/1-r

a is the first term

n is the number f terms

r is the common ratio

An = -9(1-(-3)^n)/1-(-3)

Sn = -9(1-(-3)^n)/4

Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4

Answer:

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous

Step-by-step explanation:

Given that,

The differential equation is -

[tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex]

[tex]e^{t}y' + (9t - \frac{1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t(t^{2} + 81 ) - 1}{t^{2} + 81 } )y = 0\\e^{t}y' + (\frac{9t^{3} + 729t - 1}{t^{2} + 81 } )y = 0\\y' + [\frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) } ]y = 0[/tex]

By comparing with y′+p(t)y=g(t), we get

[tex]p(t) = \frac{9t^{3} + 729t - 1}{e^{t}(t^{2} + 81) }[/tex]

g(t) = 0

And

The differential equation [tex]9ty + e^{t}y' = \frac{y}{t^{2} + 81 }[/tex] is  linear and homogeneous.

X=-1

no problem, lllllllllllollllllllll

Answer:

area of the circle,

radius=10m

diameter=20m

πr²

3.14×100

314m²

area of the triangle=1/2×20×10

=100

area of the shaded area=314-100=214 m²

the answer is option H

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

Answer:

c > 8

where c = cats

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

Answer:

18

Step-by-step explanation:

f(x) = x³+4x²-8x-6

P(a) <=> P(x)

-2 | 1 4 -8 -6

|

| -2 -4 24

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

1 2 -12 18

Answer:2,2

Step-by-step explanation:

Rotate and flip

Plz give me a branliest

Answer:

d

Step-by-step explanation:

d

Answer:A

Step-by-step explanation:

got right in quiz

Answer:

[tex]area = base \times height \\ = 10.5 \times 6 \\ = 63 \: {ft}^{2} [/tex]

Answer:

7x + 20

Step-by-step explanation:

I dont have a explanation, but this could be right. :)

1,873

Step-by-step explanation:

Answer:

26.01

Step-by-step explanation:

Answer:

In the first 3.5 hours, the family travelled 175 miles.

Step-by-step explanation:

We have the table:

time (hours)              distance ( miles)

      0                                   0

      1                                   50

       2                                 100

      3                                  150

      4                                 200

      5                                 250

      6                                 300

      7                                 350

      8                                 400

      9                                 450

This seems like a linear relationship, let's write the general line:

y = a*x + b

That represents this situation, y is the distance in miles and x is the time in hours.

In the line equation, a represents the slope and b the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a lot of points for the line, we can use any pair we want (we actually should use a few different pairs to see that the slope is always the same)

So if we use the first two (0, 0) and (1, 50)

the slope is:

a = (50 - 0)/(1 - 0) = 50

Now, if we use the third and fifth points (4, 200) and (5, 250) now the slope is:

a = (250 - 200)/(5 - 4) = 50/1 = 50

So we can conclude that the slope of the equation is a = 50

Then the equation is something like:

y = 50*x + b

To find the value of b, we can use any of the points of the line, for example (0, 0)

This means that when x = 0, y also must be 0, then:

0 = 50*0 + b

0 = b

Then the equation is:

y = 50*x

Now, to answer how many miles the family travelled in the first 3.5 hours, we just need to replace x by 3.5 in the equation:

y = 50*3.5 = 175

In the first 3.5 hours, the family travelled 175 miles.

Answer:

7 ft3

Step-by-step explanation:

Answer:

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

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{2-1}{0-3}[/tex]

[tex]=1/-3[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=-1/3(x-3)[/tex]

[tex]y-1=-1/3x+1[/tex]

[tex]y=-1/3x+2[/tex]

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

hope it helps...

have a great day!!

Answer:

Liz scored more because she would score 94%, while Austin only scored 92%

Answer:

Step-by-step explanation:

Let the total Cost = y

Let the monthly payment number = x

Let the y intercept = 64

y = 26x + 64

610 = 26x + 64                  Subtract 64 from each side

-64             - 64

546  = 26x

26x = 546                         Divide by 26

x = 546/26

x = 21 months

Answer:

a=1; b=14

Step-by-step explanation:

you have to form a perfect square

(a+b)²=a²+b²+2ab

If you add a one you will get a perfect square

x²+2x+1 = (x+1)²

if you added a one in one side you have to added to the other side too

(x+1)² = 13+1

(x+1)² = 14

Answer:

a = 1, b = 14

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term)² to both sides , that is

x² + 2(1)x + 1 = 13 + 1

(x + 1)² = 14

with a = 1 and b = 14

Answer: C. 25.6

Step-by-step explanation:

Answer:

5.73

Step-by-step explanation:

I hope that's help u

Answer:

5 11/15

Step-by-step explanation:

Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.

Answer:

A. [tex]-\frac{15}{2} < x< 0[/tex]

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

Answer: Hello some part of your question is missing below is the missing part

Missing question:  Find the probability that the Smith family had at least 6 girls?

answer : 0.1406

Step-by-step explanation:

Number of children = 8

probability of a child being a girl ( success ) = 0.5  (

P( boy ) ( q ) = 1 - 0.5 = 0.5

P( at least 6 girls ) = p(k = 6 ) + p(k = 7 )

                              = 0.109375 + 0.03125 ≈ 0.1406

( using Binomial probability Calculator )

Answer:

0-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Basically you turn 1/2 into fourths,  1/2 = 2/4

After that you would multiply 4 2/4 x 2 1/4

Then you get 10.125 turned into a fraction is 81/8