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Airida [17]
2 years ago
7

Which expression is equivalent to (4^-3)^-6 a.) 4^3 b.) 4^-9 c.) 4^-18 d.) 4^18

Mathematics
1 answer:
mario62 [17]2 years ago
3 0

Answer:

Answer:

The answer is d.) 4^18

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4 times a number is 16​
andrey2020 [161]

Answer:

4 times 4 equals 16

Step-by-step explanation:

4 times 1= 4

4 times 2= 8

4 times 3= 12

4 times 4= 16

you add 4 after each result.

4 0
3 years ago
the volumes of two spheres are 729 in3 and 27 in3. what is the ratio of their radii, rounded to the nearest whole number?
MaRussiya [10]
The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.

(729/ 27) = 27

∛27 = <u>exactly 3</u> .  No rounding required.
5 0
3 years ago
Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a
Verdich [7]
= 3 × 10-11
(scientific notation)

= 3e-11
(scientific e notation)

= 30 × 10-^12
(engineering notation)
(trillionth; prefix pico- (p))

= 0.0000000000
<span>(real number)</span>
4 0
3 years ago
Read 2 more answers
In a math class with 21 students, a test was given the same day that an assignment was due. There were 12 students who passed th
snow_lady [41]

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

4 0
3 years ago
How do you find direct variation. I’m having trouble understanding some of these examples.
Rufina [12.5K]
Direct variation is a relation that has the form

y = kx

where k is the constant of proportionality.

If you are told that a relation is a direct proportion, and you are given one data point, you can find k. The you can write the equation of the direct relation.

Here is an example.
The price of gasoline follows a direct variation.
John bought 5 gallons of gas and paid $15.
a) Write an equation for the relation.
b) Using the relation you found, how much do 13.8 gallons cost?

Solution:
Since the relation is a direct variation, it follows the general equation of a direct variation:

y = kx

We are given one data point, 5 gallons cost $15.
We plug in  5 for x and 15 for y and we find k.

y = kx
15 = k * 5
k = 3

Now that we know that k = 3, we rewrite the relation using our value of k.

y = 3x

This is the answer to part a).

Part b)

We use our relation, y = 3x, and we plug in 13.8 into x and find y.

y = 3x

y = 3 * 13.8

y = 41.4

The price of 15 gallons of gas is $41.40.
5 0
2 years ago
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