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pashok25 [27]
3 years ago
11

Simplify (6+5x) + (7 + 3) A. 8x + 13 B. 9x + 12 C. 12x + 9 D. 13x + 8

Mathematics
1 answer:
kumpel [21]3 years ago
3 0
Its not one of the choices. its 5x+16
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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

7 0
3 years ago
If a 5-pound bag of potatoes costs $5.25 , then how much would 7 pounds cost?
sashaice [31]

Answer:

7.35

Step-by-step explanation:

5 pounds -> 5.25

1 pound -> 1.05

7 pounds-> 7.35

4 0
3 years ago
Determine the solution and the reasoning that justifies the solution to the systems of equations.
Lena [83]

Answer:

<u>Option 2</u>

(2,8), because the graph of the two equations intersects at this point

Step-by-step explanation:

Just looking at the graph, you can tell that the point (2,8) is where the two lines intersect.

Hope this helped! :)

8 0
3 years ago
AB:BC is 3:4. Solve for x.
Sphinxa [80]
I got B but I'll show you how I got that answer.

Let's look at AB and BC. AB = 3 and BC = 4.
3/4 = 0.75

On the triangle, AB = 90. And BC = 10x - 20. We need to solve for x and prove that AB/BC = 0.75.

Let's start with Choice A.

10(11) - 20 = 90.

AB = 90
BC = 90.

90/90 = 1. It doesn't equal 0.75. Meaning this answer is wrong.

Now let's look at Choice B.

10(14) - 20 = 120.

AB = 90
BC = 120

90/120 = 0.75

So, 3:4 = 90:120 making Choice B the correct Answer. Let me know if this is correct
6 0
3 years ago
What is the surface area of this figure?
Sindrei [870]

Answer:

328

Step-by-step explanation:

3 0
3 years ago
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