Find the surface area of the prism 3m 4m 8m 5m

The simplified form of the given algebraic expression is; 96x⁶y⁵

We are given the algebraic problem;

(4x²y)(3xy)(2xy)³

Expanding the above gives us;

4x²y * 3xy * 2³x³y³

⇒ 4x²y * 3xy * 8x³y³

⇒ 96x⁶y⁵

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Answer:

Its 96x6y5 or B)

Step-by-step explanation:

The guy above or below me explained it correctly.

Answer:

9√3

Step-by-step explanation:

Answer:

[tex]9\sqrt{3}[/tex]

Step-by-step explanation:

we know that 3*81 = 243, so we can say

[tex]\sqrt[]{3} * \sqrt{81}[/tex]

And we know that square root of 81 = 9

so we can simplify this to:

[tex]9\sqrt{3}[/tex]

Hope this helps!

Answer:

a)  0

b) -5

Step-by-step explanation:

We want to find f(x) = -4

This means find the value of x  where y=-4

The value of x  where y=-4 is x=0

Then find f(2)

This means find the value of y when x =2

The value of y when x=2 is -5

Answer:

A

C

E

Step-by-step explanation:

Answer:

3x+4

Step-by-step explanation:

3 ft every second is the rate of change or the slope. 4 ft above the ground is the y-intercept.

Answer:

y=3x+4

Step-by-step explanation:

3x is 3 feet multiplied by however many seconds

4 is the additional 4 feet that the balloon had started at

Answer:

4 1/20

Step-by-step explanation:

1 4/5 - (-2 1/4) You need the closing bracket.

1 4/5 + 2 1/4

Change to improper fractions.

[tex]\frac{5*1 + 4}{5} + \frac{4*2+1}{4}[/tex]

9/5 + 9/4               Change so that both have the same denominator.

[tex]\frac{9*4}{5*4} + \frac{9*5}{4*5}[/tex]

36/20 + 45/20

81/20 which believe it or not is an acceptable answer.

4 1/20  is another acceptable answer

Answer:

$ 160

Step-by-step explanation:

3/8 × n = $ 60

so, n = $ 60 ÷ 3/8

= $ 60 × 8/3

= $ 160

so, Mikayla's savings = $ 160

Using translation concepts, the function whose graph is plotted is given by:

y = 0.5cos(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the y-intercept is different of zero, hence it is a cosine function. The amplitude is of 0.5, hence the function is multiplied by 0.5, that is, y = 0.5cos(x), which means that option C is correct.

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Answer:

Julie has $11.51 left.

Step-by-step explanation:

We know that Julie has $20.  She spent $1.99 on package of trading cards and $6.50 for lunch.  When added this is equal to $8.49.

Now we have to figure out how much she has left by subtracting $20 from $8.49 and we get $11.51.  Therefore, $11.51 is our answer.

Answer:

the answer is A:)

Step-by-step explanation:

Answers:

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

Explanation:

Use the graph to see that the left and right endpoints of the original segment are (2,4) and (6,6) in that order.

Then for each point, we multiply each coordinate by the scale factor 2. This will move the points to the proper location such that the segment is now twice as long as compared to the original.

The left endpoint (2,4) moves to (4,8) after we double the coordinates.

The right endpoint (6,6) moves to (12,12) after we double the coordinates.

The final segment has the left and right endpoints of (4,8) and (12,12) in that order.

Side note: The original and final segments are parallel to one another. This is because both segments share the same slope.

Answer:

diameter = the distance from one edge of the circle, through the center, to the other edge

pi = long irrational number commonly written as 3.14

circle = a 2d shape where all points are the same distance from the center

radius = the distance from the center of a circle to the outer edge

circumference = the length of the outside of a circle or a circle's perimeter

hope that helps

Answer:

I think its C

Step-by-step explanation:

a)x is equal to -1 x is equal to -7

Answer:

x=7

Step-by-step explanation:

The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]  is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

"The inverse function of a function f (also called the inverse of f ) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by  [tex]f^{-1}[/tex]."

We have

[tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex]

Replace g(x) with y

[tex]y =[/tex] [tex]\frac{x^{3} }{8}+16[/tex]

Interchange the variables

[tex]x= \frac{y^{3} }{8}+16[/tex]

Rewrite the equation as

[tex]\frac{y^{3} }{8}+16= x[/tex]

⇒[tex]\frac{y^{3} }{8}= x-16[/tex]

Multiply both sides of the equation by 8

[tex]8.\frac{y^{3} }{8}=8(x-16)[/tex]

⇒[tex]{y^{3} }=8(x-16)[/tex]

⇒[tex]{y^{3} }=8x-128[/tex]

⇒[tex]{y} }=\sqrt[3]{8x-128}[/tex]

⇒[tex]{y} }=2\sqrt[3]{x-6}[/tex]

Replace y with [tex]g^{-1}(x)[/tex]

⇒[tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

Hence, The inverse of the function for  [tex]g^{}(x) = \frac{x^{3} }{8}+16[/tex] is  [tex]g^{-1}(x)=2\sqrt[3]{x-6}[/tex]

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Answer:

Option (4)

Step-by-step explanation:

We Fix it Computer Repair charges for it's services as per equation given as,

C = 30h + 90

Here, C = Total cost

h = Number of hours worked

This equation is in the form of a linear equation,

y = mx + b

Here, m = slope of the equation

And slope of the equation defines the unit rate

Therefore, charges for each hour of the first company = $30

Table given in the question represents the charges of another company John's Compute Repair.

There is a common difference in each successive term of the Total Cost of the table,

Common difference = 100 - 55 = 45

Therefore, this table represents a linear function.

Slope of the linear function passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,

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

Slope of the function represented by the table = [tex]\frac{100-55}{2-1}[/tex]

                                                                              = 45

Therefore, per hour charges by the second company = $45

Difference in the charges = $45 - $30

                                           = $15

John's Computer Repair charges more by $15.

Option (4) is the correct option.

Answer:

y=X+7

Step-by-step explanation:

(-1, 6)

1x up 1 over 1

y=mx+b

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

Plug 6 for y, and 1 for x.

Like this [tex]6=x (+-)#[/tex]#

We know x is -1. 6=(-1*1)+#

6=-1+#

y=X+7

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

-1*1+7=6

Answer:

r ≈ 7.18%

Step-by-step explanation:

a = p(1 + r)^n

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

a = 10000 * 2 = 20000

p = 10000

n = 2035 - 2025 = 10

Plug in the knowns

20000 = 10000(1 + r)^(10)

Divide both sides by 10000

2 = (1 + r)^(10)

Take the log of both sides

log2 = 10 * log(1 + r)

Divide bot sides by 10

(log2)/10 = log(1 + r)

use calculator

0.030102999566398 = log(1 + r)

antilog both sides

10^0.030102999566398 = 1 + r

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r ≈ 7.18%

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

Alternate method

2 = (1 + r)^(10)

Take 10th root of both sides

1.0717734625 = 1 + r

Subtract 1 from both sides

0.0717734625 = r

r = 7.18%

Answer:

Step-by-step explanation:

9y+7=2y+98(being vertically opposite angles)

9y-2y=98-7

7y=91

y=91/7

y=13

[tex]tan( \theta) = \frac{opposite}{adjacent} [/tex]

The opposite in this diagram is the side directly opposite to the ange theta.

So,

[tex]tan( \theta) = \frac{17}{17} = 1[/tex]

So the answer is 1.

Answer:

Step-by-step explanation:

top one : surface area of a cone

middle one : surface area of a cylinder

last one: surface area of a pyramid

Answer:

（76＋85＋97＋82）/4

Step-by-step explanation:

Four subjects total divided by 4 to get the mean

The average mean score is 85

The correct answer is option (C)

"It is the sum of all the values divided by the total number of values."

"It is the average of the given values."

For given example,

the score in the math tests are 76, 85, 97 and 82

total score = 76 + 85 + 97 + 82

total score = 340

The number of math tests are 4.

So, the average score would be,

average = [tex]\frac{340}{4}[/tex]

average = 85

Therefore, the average mean score is 85

The correct answer is option (C)

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Answer:

1= 112°

3= 68°

4= 22°

5= 90°

Step-by-step explanation:

comment if u need explanation :)

Answer:

13c + 1

Step-by-step explanation:

4c + 2 + 4c + 1 + 2c + 3c - 2

8c + 5c + 3 - 2

13c + 1

Answer:

√(8×32)

√(256)

[tex]16[/tex]

[tex]is \: your \: answer[/tex]

I hope it helps

have a nice day

#Captainpower

Answer:

-15x - 12 + 9x^2

Step-by-step explanation:

(-7x - 5) - (-9x^2 + 8x + 7)

-7x - 5 + 9x^2 - 8x -7

-15x - 12 +9x^2

what is that 2 by the 9x

We will simplify the given expression to get:

9x^2 - 15x - 12

Here we have the expression:

(-7x - 5) - (-9x^2 + 8x + 7)

To simplify it, we just perform the difference between the polynomials:

-7x - 5 + 9x^2 - 8x - 7

Now we group terms with correspondent powers of x:

9x^2 + (-7x - 8x) + (-5 - 7)

Now we simplify this:

9x^2 - 15x - 12

This is the quadratic equation simplified.

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