Help.................

Answer:

[tex](2x^3)^3=8\cdot x^{9}[/tex]

Step-by-step explanation:

Properties of Exponents

The property called Power to a Power shows us how to simplify expressions of the type:

[tex](x^n)^m=x^{n*m}[/tex]

Similarily the property called Power of a product simplifies expressions like:

[tex](x.y)^n=x^n.y^n[/tex]

The company mentioned in the question uses the expression

[tex](2x^3)^3[/tex]

millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.

First, use the power of a product property:

[tex](2x^3)^3=2^3\cdot (x^3)^3[/tex]

Now use the power to a power property:

[tex](2x^3)^3=2^3\cdot x^{3*3}[/tex]

Operate:

[tex]\mathbf{(2x^3)^3=8\cdot x^{9}}[/tex]

Answer:

The third answer choice

Step-by-step explanation:

-3(x+2) < 5x+10

-3x-6 < 5x+10

-3x-5x < 10+16

-8x < 16

x < -2

Answer:

Angela asked each student in her class about the height of the fence around their house. She made the histogram below to

represent the heights of each student's fence.

Height of Fence

16

14

12

10

Students

8

6

4

2

8

10

12

6

Feet

Which statement is true?

OA. The data distribution is both symmetric

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out

Answer:

x=−6

Step-by-step explanation:

Answer:

1.75 dollars for one sports drink

Step-by-step explanation:

5.25/3

So when you divide by powers of ten (ten times itself some number of times, like ten, one hundred, one thousand, etc.), the decimal moves to the left. For each power of ten, you move one place to the left. So if you divided a number by one hundred (10^2 or 10*10), you would move two places to the left.

Answer:

Step-by-step explanation:

Answer:

10.2 inches by 4.125 inches

Step-by-step explanation:

PLS GIVE BRAINLIEST

Answer:

The prime factorization of 600 is 2, 2, 2, 3, 5, and 5

Answer:

600 = 2 × 2 × 2 × 2 × 3 × 3 × 5

Step-by-step explanation:

2 |600

2 |300

2 |150

2 |75

3 |15

3 |5

5 |1

Answer:

ur mom reminds me of my dad lol

Step-by-step explanation:

This is your perfect answer

Answer:

B. 6 miles

Step-by-step explanation:

first you convert the hour and 12 minutes into only minutes

72 minutes

then you set up in a fraction

48/72 = x/9

then solve for x, if you use a calculator it will give you 6

Answer:

83100000+1010=831,000,1010

i think option 2

Step-by-step explanation:

Answer:

D. [tex] y = \frac{2}{3}x - 2 [/tex]

Step-by-step explanation:

To find the equation of the line that is perpendicular to the one shown on the graph, which passes through (-3, -4) we need to find the slope of the line, m, and the y-intercept, b.

The equation would be in the slope-intercept form given as y = mx + b.

The slope of the line would be the negative reciprocal of the slope of the line shown on the graph.

So, first, find the slope of the line shown in the graph using the points on the line, (0, 3) and (4, -3):

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{4 - 0} = \frac{-6}{4} = -\frac{3}{2} [/tex]

Since the slope of the line shown on the graph is -³/2, therefore the slope of the line that is perpendicular to the line shown would be the negative reciprocal of -³/2. Negative reciprocal of -³/2 is ⅔.

Therefore, the slope, m, of the line that is perpendicular to the line shown is ⅔.

Let's find its y-intercept using the point given, (-3, -4) that the line passes through and its slope, m = ⅔.

Substitute m = ⅔, x = -3 and y = -4 in y = mx + b, to find b.

-4 = ⅔(-3) + b

-4 = -2 + b

Add 2 to both side

-4 + 2 = b

-2 = b

b = -2

Substitute m = ⅔, and b = -2 in y = mx + b.

The equation of the line would be:

[tex] y = \frac{2}{3}x +(-2) [/tex]

[tex] y = \frac{2}{3}x - 2 [/tex]

Answer:

Professional basketball player, Joe Johnson, is 6 feet 7 inches tall. There are 2.54 centimeters in 1 inch.

Step-by-step explanation:

and this is not a fast response. THIS WAS ASKED IN 2020 11  it is 2021.

Answer:

11 9/10

Step-by-step explanation:

6 + 5 = 11

1/10 + 4/5

1/10 + 8/10 = 9/10

11 + 9/10 = 11 9/10

HOPE THIS HELPS

PLZ MARK BRAINLIEST

Answer: Answer: The answer should be 11 9/10.

Answer:

1380 people

Step-by-step explanation:

60x23=1380 Hope it helps!

Answer:

5/6x+4 1/6=y

Step-by-step explanation:

The equation to find a slope-intercept is mx+b=y

m=slope

x=x coordinates

y=y coordinates

b= y intercept

m=5/6

x=-1

y=-5

b=4 1/6

Y intercept:

5/6(-1)+b=-5

-5/6+b=-5

b=4 1/6

However, it asks for an equation of the line, not (-1,-5), so we only need to write m and b, but not x and y.

So: 5/6x+4 1/6=y

Hope this helps!

This is your perfect answer

Answer:

Step-by-step explanation:

h(x) = x² - 5x

x² - 5x = 104

x² - 5x - 104 = 0

D = (- 5)² - 4(1)(- 104) = 441 = 21²

[tex]x_{1}[/tex] = (5 - 21) / 2 = - 8

[tex]x_{2}[/tex] = (5 + 21) / 2 = 13

Answer: 78.54

Step-by-step explanation: pi X radius squared!!

Answer:

Answer:

0.32

Step-by-step explanation:

8/25=0.32, i think you know why, thanks for the points!

Answer:

0.32 I believe.

Step-by-step explanation:

Answer: 766, 1,121, 1,476

Step-by-step explanation:

there you go hope that helped

Answer:

Johnson rode her bike 5 miles

Step-by-step explanation:

If [tex]p[/tex] and [tex]q[/tex] are directly proportional, then they must have a common scalar.

To find [tex]q[/tex] we must first find its scalar. If we let [tex]a[/tex] be the scalar we can form the equation, [tex]ap = q[/tex].

We are given the information that if [tex]q = 7.5[/tex] then [tex]p = 9[/tex]. We can use that in finding the scalar.

[tex]a \times 9 = 7.5 \\ \frac{a \times 9}{9} = \frac{7.5}{9} \\ a = \frac{75}{90} \\ a = \frac{15}{18}[/tex]

Now we can solve for [tex]q[/tex] when [tex]p = 24[/tex] knowing that our scalar is [tex]\frac{15}{18}\\[/tex].

[tex]ap = q \\ \frac{15}{18} \times 24 = q \\ \frac{360}{18} = q \\ 20 = q[/tex]

[tex]q = 20[/tex] when [tex]p = 24[/tex]

Answer:

the correct answer is 81.71 inch

Step-by-step explanation:

please mark me as the brainliest answer

Answer:

81.71 inch

Step-by-step explanation:

the diameter of the wheel is 26 inch ,so in one rotation there wheel can travel 81.71 inches.