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andrezito [222]
3 years ago
12

Which of these is equivalent to 1 over x to the power of 5 ? 1 fifth x negative x to the power of 5 x to the power of 5 x to the

power of negative 5 end exponent
Mathematics
1 answer:
Kisachek [45]3 years ago
5 0

Answer:

x^-5 = x to the power of negative 5

Step-by-step explanation:

Which of these is equivalent to 1 over x to the power of 5 ?

Mathematically this is expressed as

(1/x)⁵

We have a rule when it comes to expressing power

(1/a)^b = a^-b

Hence, applying this rule to our question

(1/x)⁵ = (1/x)^5

= x^-5

This is written in words as:

x to the power of negative 5

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The answer is c, 2.To find this, look on the graph for a point with the y value of -1. (2,-1) is the solution.
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3( 5x+10x -2)=<br> I NEED HELP
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Sally was walking to Ocean Front Housing Complex, In miles, how far is her distance?
Vanyuwa [196]

Answer:

Sally is 10 miles

The coordinate ofthe deli is (1, -1)

Step-by-step explanation:

✍️Coordinate of Sally = (-3, 2)

Coordinate of Ocean Front = (5, -4)

The distance of Sally to Ocean Front Housing Complex = the distance between point (-3, 2) and (5, -4).

Use the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to calculate the distance between (-3, 2) and (5, -4):

d = \sqrt{(5 -(-3))^2 + (-4 - 2)^2}

d = \sqrt{(8)^2 + (-6)^2}

d = \sqrt{64 + 36}

d = \sqrt{100} = 10

✅The distance of Sally is 10 miles

✍️the coordinate of Deli would be half the distance between Sally and Ocean Front.

Therefore, use the midpoint formula to calculate the coordinate of the midpoint between Sally (-3, 2) and Ocean Front (5, -4).

Midpoint of (-3, 2) and (5, -4).

M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})

Plug in the values

M(\frac{-3 + 5}{2}, \frac{2 +(-4)}{2})

M(\frac{2}{2}, \frac{-2}{2})

M(1, -1)

✅The coordinate ofthe deli is (1, -1)

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3 years ago
A charity gala is held in a hotel ballroom each year. The cost is $150 for the ballroom and an
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Answer: x=100$

Step-by-step explanation:

use the slope formula

y=mx+b

plug in what you have

y=2400, m=22.50x, b=150

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2400=22.50x+150

subtract 150 from both sides

2250=22.50x

divide 22.50 x from both sides

x=100 people

don't forget your units :)

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3 years ago
If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af
lyudmila [28]

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

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