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Nitella [24]
3 years ago
6

12-3 ( x-8 ) simplify

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

-3x + 36

Step-by-step explanation:

<em><u>The first step is to distribute the -3 to (x - 8), like so:</u></em>

12 - 3(x - 8)

12 - 3x + 24

<em><u>Add like terms (12 and 24):</u></em>

12 + 24 = 36

-3x + 36

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A sample of radium has a weight of 1.5 mg and a half-life of approximately 6 years.
pogonyaev

Answer:

0.75 mg

Step-by-step explanation:

From the question given above the following data were obtained:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Amount remaining (N) =.?

Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:

Half-life (t₁/₂) = 6 years

Time (t) = 6 years

Number of half-lives (n) =?

n = t / t₁/₂

n = 6/6

n = 1

Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:

Original amount (N₀) = 1.5 mg

Half-life (t₁/₂) = 6 years

Number of half-lives (n) = 1

Amount remaining (N) =.?

N = 1/2ⁿ × N₀

N = 1/2¹ × 1.5

N = 1/2 × 1.5

N = 0.5 × 1.5

N = 0.75 mg

Thus, 0.75 mg of the sample is remaining.

5 0
2 years ago
Which expression is equivalent to 7^5/7^2
PolarNik [594]

Answer:

You are correct my good sir! 7^5/7^2 expanded is (7x7x7x7x7)/(7x7)! another awesome thing to know for future reference is when dividing exponents with the same base you can simply subtract the exponents from each other! for example, 7^5/7^2=7^3! :D Hope This Helps!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
HELP ASAP PLEAse!!! HOW DO YOU FIND THE LATERAL AREA OF THE TRIANGLE, (ALREADY GOT SURFACE AREA CORRECT), PLEASE ROUND IT TO THE
Zarrin [17]
172.9

You find it by multiplying each side of the triangle by the height (9) and adding the results together.

A(lateral) = 8 * 9.1 + 3 * 9.1 + 8 * 9.1
= 72.8 + 27.3 + 72.8
= 172.9
6 0
2 years ago
A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second. What
nevsk [136]
3.84 meters because 2% of 48 is 0.96, 0.96*4, which is 3.84
8 0
2 years ago
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifi
Lunna [17]

Answer:

The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

Step-by-step explanation:

For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:

10+0.60m<0.75m, where:

m is the number of miles driven

Now, you can solve for m:

10<0.75m-0.60m

10<0.15m

10/0.15<m

m>66.6

According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.

5 0
3 years ago
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