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3 years ago

(6x^1) ^2 Please show all work

1 answer:

6 0

1. Apply a^1= a , rule.
x^1 = x
=(6x)^2

2. Then apply exponent rule. (a*b)=a^n b^n
=6^2 x^2

3.6^2 = 36 , because 6 x 6 = 36
Now, apply x^2
=36x^2

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Solve the equation 5n-3(4n+1)

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Answer: -7n +3

Step-by-step explanation:

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2 years ago

Earths diameter is 7917.5 and the moons diameter is 2157.4. How far is the sun

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3 years ago

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians

Gennadij [26K]

Question:

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

Answer:

<h3>Arc length is 11.30 feet</h3>

Solution:

Given that,

Radius of circle = 12.6 feet

Central angle = $\frac{2 \pi }{7}$ radians

To find: Arc length

The arc length of a circle of radius "r" when central angle given in radians is:

$s = r \times \theta$

Where,

s is the arc length

r is the radius

$\theta$ is the central angle in radians

Substituting the values we get,

$s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30$

Thus, arc length is 11.30 feet

7 0

3 years ago

Andrew wrote the number 186425 on the board in which number is the balue of the digit 6 exactly 10 times the value of the digit

Svet_ta [14]

Answer: 60

Step-by-step explanation: The 6 represents the thousands digit, and i think the 6 exactly 10 times the value is the 2 that is the tens place and 6 times 10 is 60.

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3 years ago

Read 2 more answers

The black graph is the graph of y= f(x). Choose the equation for the red graph

Montano1993 [528]

Answer:

Option C.

Step-by-step explanation:

First, let's define the transformations used here:

We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:

Horizontal shift:

For a general function f(x) an horizontal shift of N units is written as:

g(x) = f(x + N)

where:

If N > 0, the shift is to the left

if N < 0 , the shift is to the right.

Reflection across the x-axis.

For a function f(x), a reflection across the x-axis is just written as:

g(x) = -f(x)

So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:

g(x) = -f(x) (only for the reflection)

g(x) = -f(x - 1) (for the reflection and the shift)

Then the graph of the red function is:

y = -f(x - 1)

We can rewrite this as:

y = -1*f(x - 1)

dividing both sides by -1 we get:

y/-1 = f(x - 1)

This is what we can see in option C, so the correct option is C.

6 0

3 years ago