What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.

Answer:

  [tex]\dfrac{8m^7n^6}{3}[/tex]

Step-by-step explanation:

  [tex]\dfrac{(2mn)^4}{6m^{-3}n^{-2}}=\dfrac{2^4}{6}m^{4-(-3)}n^{4-(-2)}=\boxed{\dfrac{8m^7n^6}{3}}[/tex]

__

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  1/a^b = a^-b

  (a^b)(a^c) = a^(b+c)

Answer:

A

Step-by-step explanation:

Answer:

18x-2

Step-by-step explanation:

Answer:

u=9n

Step-by-step explanation:

Answer:

The function is

[tex]f(x)=0.5x^3-3x^2+5.5x-2[/tex]

The graph is attached.

Step-by-step explanation:

We have a function g(x) and we need to graph a new function that is function of g(x).

The final function is

[tex]f(x)=0.5\cdot g(x-2)+1[/tex]

We start by calculating g(x-2):

[tex]g(x-2)=(x-2)^3-(x-2)\\\\g(x-2)=(x^3-6x^2+12x-8)-(x-2)\\\\g(x-2)=x^3-6x^2+11x-6[/tex]

Then, we can calculate f(x) as:

[tex]f(x)=0.5\cdot g(x-2)+1\\\\g(x-2)=x^3-6x^2+11x-6\\\\\\f(x)=0.5(x^3-6x^2+11x-6)+1\\\\f(x)=0.5x^3-3x^2+5.5x-3+1\\\\\\f(x)=0.5x^3-3x^2+5.5x-2[/tex]

Answer:

im guessing 58/100

Answer:

58/100 for sure

Step-by-step explanation:

i had nothing to explain

Step-by-step explanation:

m(2+n-m)+3(3n+m^2-1)

= 2m + mn - m^2 + 9n + 3m^2 - 1

= 2m^2 + 2m + 9n + mn - 1

Answer:

mn+2m^2+9n+2m-3

Step-by-step explanation:

Answer:

It equals 165

Step-by-step explanation:

I used a calculator to find my answer

Answer:

166

Step-by-step explanation:

So I'm not sure if you're supposed to solve this with a pattern or something but here's how I solved it,

1 + 3 = 4

4 + 5 = 9

9 + 1 = 10

10 + 9 = 19

19 + 8 = 27

27 + 4 = 31

31 + 3 = 34

34 + 5 = 39

39 + 6 = 45

45 + 12 = 57

57 + 24 = 81

81 + 11 = 92

92 + 3 = 95

95 + 9 = 104

104 + 8 = 112

112 + 1 = 113

113 + 4 = 117

117 + 5 = 122

122 + 6 = 128

128 + 2 = 130

130 + 32 = 162

162 + 1 = 163

163 + 1 = 164

164 + 2 = 166

Thus, our answer is 166

Hope this helps!

Answer: 22

Step-by-step explanation:

She sold two tubs of Oatmeal Raisins and it's 6 dollars a tub so we can do 6*2 or 6+6 (doesn't matter). We get $12. Then, she also sells 2 tubs of Peanut Butter, and since it's $5 a tub, then we do 5*2 or 5+5 to get 10. We add 12 and 10 (12+10) and get 22.

I'm not sure if this is right because you added $22, $24, $20, and $11 and I'm not sure what the purposes of those are.

Answer:

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

Step-by-step explanation:

When we talk of a p-value, we are referring to a conditional probability. What it tells us is the probability of getting results which are at least as unusual as the observed statistics in a case where we are given that the null hypothesis is not false.

A p-value if 0.047(same as 4.7%) means there is a 4.7% chance that there is no difference in how effective the new treatment is.

So what this means is that, in this case it is better that more data is collected to enable us know how effective the new treatment is

Answer:

4 and 20

Step-by-step explanation:

The sum of two numbers is 24.

One of the numbers is 5 times larger than the other.

Let x be the first number.

Let y be the second number.

x + y = 24

x = 5y

Put x as 5y in the first equation.

5y + y = 24

6y = 24

y = 4

Put y as 4 in the second equation.

x = 5(4)

x = 20

Answer:

75 meters

Step-by-step explanation:

30/50 = 45/x

x = 75

Answer:

x= 75m

Step-by-step explanation:

If we call the angle in the bottom left θ, then the sinθ=(opposite side)/(hypotenuse).

For the smaller triangle:

sinθ=30/50

And for the bigger triangle:

sinθ=45/x

So:

30/50=sinθ=45/x

30/50=45/x

x=(45•50)/30=2250/30=75

So x= 75 meters

Answer:

a) 4.236 x 10^2

b) 7.194548 x 10^6

c) 5.0023 x 10^2

d) 7.123884 x 10^1

e) 5.62 x 10^-1

f) 3.48 x 10^-2

g) 1.23 x 10^-4

h)  5.603002 x 10^-1

Hopefully this helps :)

Answer:

a) 423.6=4.236*10^2

b) 7,194,548=7.194548*10^6

c) 500.23=5.0023*10^2

d) 71.23884=7.123884*10^1

e) 0.562=5.62*10^-1

f) 0.348=3.48*10^-1

g) 0.000123=1.23*10^-3

h) 0.5603002=5.603002*10^-1

Step-by-step explanation:

The numbers in which the point lies must be between 0 and 10

Hope this helps ;) ❤❤❤

Answer:

The hikers each receive 2 1/3 cups of trail mix.

1. Multiply 8 by 3 1/4 to get how much cups of trail mix they have in total which  will come out as 28.

2. Then divide the 28 cups by the 12 hikers, and you will get 2 1/3 as your answer.

Answer:

[tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex] .

Step-by-step explanation:

Since vertices lie on y-axis. So, it is a vertical parabola of the form

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]

where, (h,k) is center, [tex](h,k\pm c)[/tex] is focus and [tex](h,k\pm a)[/tex] is vertex.

Center is (0,0). So, h=0 and k=0.

Foci are [tex](0,\pm \sqrt{73})[/tex]. So [tex]c=\sqrt{73}[/tex].

Vertices are [tex](0,\pm 8)[/tex]. So [tex]a=8[/tex].

We know that,

[tex]a^2+b^2=c^2[/tex]

[tex]8^2+b^2=(\sqrt{73})^2[/tex]

[tex]b^2=73-64[/tex]

[tex]b=3[/tex]

Put h=0,k=0, a=8 and b=3 in equation (1).

[tex]\dfrac{(y-0)^2}{8^2}-\dfrac{(x-0)^2}{3^2}=1[/tex]

[tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex]

Therefore, the required equation is [tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex] .

Answer:  11 units

Step-by-step explanation:

Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).

To find : length of Side RT of the polygon.

Using distance formula  to find distance between (a,b) and (c,d):

[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]

Length of RT = [tex]\sqrt{(2-2)^2+(5-(-6))^2}[/tex]

[tex]\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11[/tex]

hence, the length of RT = 11 units.

Answer:

the answer is 11 units

Step-by-step explanation:

Answer: x=one-half y minus

Step-by-step explanation:

Answer:

x=1/2 y-3

Step-by-step explanation:

Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: [tex]P(A\cap B)=0[/tex]

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

================================================

Explanation:

Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.

After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.

Use x = 2 to find the value of y

5x+3y = 31

5(2)+3y = 31

10+3y = 31

3y = 31-10

3y = 21

y = 21/3

y = 7

or

2x+3y = 25

2(2)+3y = 25

4+3y = 25

3y = 25-4

3y = 21

y = 21/3

y = 7

Using either equation has x = 2 lead to y = 7.

Therefore, the solution is (x,y) = (2,7)

If you were to graph the two original equations, then they would intersect at (2,7).

1,3,4 that is the answer

Answer:

Step-by-step explanation:

x³ + 6x² + 5x - 12

A factor of the polynomial is the value of x when substituted into the expression will make it zero

Choosing x + 4

x = - 4

We have

(- 4)³ + 6(- 4)² + 5(- 4) - 12

-64 + 96 - 20 - 12 = 0

Since the result is zero

x + 4 is a factor of the polynomial

Hope this helps you

Answer:

The quadrilateral shown is a kite, because it has two non-congruent pairs of congruent sides

x = 3

Step-by-step explanation:

The vertex angles in a kite are bisected by the diagonals.  Thus, 11x = 9x + 6.

11x=9x+6

2x=6

x=3

Hope it helps <3

Answer:

1. In a situation were we are willing to use 90% confidence, this means we could say that the observed difference that we have in the sample means tend to represents a real difference in the population means.

2. We cannot actually say because even with 95% confidence, that is the observed difference in sample means tend to as well represents a real difference in the population means.

3. Because the interval extends further in the positive direction than the negative direction this means that the evidence suggests that species #1 tend to weighs more than species #2 on average, but we can't actually say for sure.

Step-by-step explanation:

The following are what I will conclude about based on the information given in the question.

1. In a situation were we are willing to use 90% confidence, this means we could say that the observed difference that we have in the sample means tend to represents a real difference in the population means.

2. We cannot actually say because even with 95% confidence, that is the observed difference in sample means tend to as well represents a real difference in the population means.

3. Because the interval extends further in the positive direction than the negative direction this means that the evidence suggests that species #1 tend to weighs more than species #2 on average, but we can't actually say for sure.

Answer: [tex]\dfrac{1}{6840}[/tex]

Step-by-step explanation:

According to the permutations:

The arrangement of n things in an order = n!

If we fix that the first, second, and third person for skating, then we to arrange only 17 of the skaters.

Number of ways to arrange rest of 17 skaters = 17!

Number of ways that Christie, Taylor, and Jona will  skate first, second, and third, respectively = 1 x 17!=17!

Number of ways to arrange all 20 skaters = 20!

Now, the required probability = [tex]\dfrac{\text{favourable outcomes}}{\text{total ways}}[/tex]

[tex]=\dfrac{17!}{20!}\\\\=\dfrac{1}{20\times19\times18}\\\\=\dfrac{1}{6840}[/tex]

Hence, the required probability = [tex]\dfrac{1}{6840}[/tex]

Answer:

First blank: Commutative

Second blank: Associative

Third blank: Same

Fourth blank and fifth blank: Rearranging them? (Not entirely sure)

Hope this helps :)

Answer:

This is simple! (Kind of)

Step-by-step explanation:

First, notice how HJ is tangent. HG is a radius intersecting HJ at H.

This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.

Thus, we can use the 180* in a triangle theorem.

[tex]180=90+54+6x+6[/tex]

So, let's solve!

[tex]30=6x\\5=x[/tex]

So, there you go! Nice and simple!

Hope this helps!

Stay Safe!

Step-by-step explanation:

hope it helps yoy..........

Answer:

1.76m/s ; 1.76m/s ; 1.74m/s, 0.86m/s

Step-by-step explanation:

Given the following :

Distance jogged in first direction (A to B) = 300m

Time taken = 2 minutes 50s = (2*60) + 50 = 120 + 50 = 170s

Distance jogged in opposite direction (B to C) = 100m

Time taken = 1minute = 60s

Recall:

Speed = distance / time

Therefore Average speed from A to B

Average speed = 300m/ 170s = 1.764 = 1.76m/s

Average Velocity = Displacement / time

Displacement = 300m ; time = 170s

= 300m / 170s = 1.76m/s

Average speed (A to C)

Therefore, average speed = total distance / total time taken

Total distance = (300 + 100)m = 400m

Total time taken = (170 + 60)s = 230s

Average speed = 400m / 230s

= 1.739m/s = 1.74m/s

Average velocity:

Displacement = distance between initials position and final position.

Initial distance covered = 300m. Then 100m was jogged in the opposite direction.

Distance between starting and ending positions, becomes : (300 - 100)m = 200m

200 / 230 = 0.87m/s

Answer:

2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( -4 - -2)/ ( 2-3)

    = ( -4+2)/( 2-3)

    = -2/ -1

    = 2

Answer:

Hey there!

The additive inverse means the number opposite to five.

The additive inverse of negative five is positive five.

Hope this helps :)

Answer:

The additive inverse of negative five is positive five.

explanation:

Answer:

[tex]3(6b-1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]

Taking (2a-1) as common

[tex](18b+3)(2a-1)[/tex]

=> [tex]3(6b-1)(2a-1)[/tex]

Answer:

[tex]3(6b+1)(2a-1)[/tex]

Step-by-step explanation:

[tex]36ab - 18b+6a-3[/tex]

Factor the two groups.

[tex]18b(2a-1)+3(2a-1)[/tex]

Take 2a - 1 common.

[tex](18b+3)(2a-1)[/tex]

Factor 18b + 3.

[tex]3(6b+1)(2a-1)[/tex]

Answer:

x=400 and y=800

Step-by-step explanation:

let x be the Quartez and y is Pacer

x+y≤1200 ( maximum production capacity of 1200 cars per week)

0≤x≤600

0≤y≤800

profit : 500x+800y

at a point : x=0 y=800

profit=500x+800y ⇒ 500(0)+800(800)=640000

profit= 500(600)+0=300000 wen x=600(max), y=0

Profit=500(600)+800(600)= 780000

profit =500(400)+800(800)=840000 this is the max profit when

x=400 and y=800

Answer:

One solution

2

Step-by-step explanation:

5(2x-3)=5

10x-15=5

10x=5+15

10x=20

x=2

Part A: 1

Part B: It has only one solution and it is 2.

Hope this helps ;) ❤❤❤

Answer:

I believe 1 solution

Step-by-step explanation:

divide both side of equation by 5= 2x-3)=1

add 3 to each side= 2x=1+3

2x=4

x=2

Answer:

(-5,0)

Step-by-step explanation:

In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number

For Decreasing:

(-8,-5)

(4,8)

For Increasing:

(-5,0)