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ioda
3 years ago
5

Simplify the problems

Mathematics
1 answer:
antoniya [11.8K]3 years ago
6 0
For most of them you can use a fraction simplifier calculator but so far i have b) 21/2 c) 203/2
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Which of the following is a composite number?<br> OA) 23<br> OB) 11<br> OC) 25<br> OD) 19
Flauer [41]

Answer:

its 25

Step-by-step explanation:

7 0
3 years ago
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
KG passes through the point (2, 14) and intersects HG at the point (12, 4). If the point H(18, 10) lies on HG, write the equatio
Setler79 [48]
The equation for KG would be y-14=-1(x-2) and the equation for HG would be y-4=1(x-12).

We first find the slope of KG.  The formula for slope is
m=(y₂-y₁)/(x₂-x₁)

Using the points we have for KG, we have
m=(4-14)/(12-2) = -10/10 = -1

The equation for point-slope form is
y-y₁=m(x-x₁)

Using the slope of KG and the first point listed for that line, we have
y-14=-1(x-2)

Now we find the slope of HG:
m=(10-4)/(18-12) = 6/6 = 1

Using the point of intersection for KG and HG, we have
y-4=1(x-12)
3 0
3 years ago
The table shows conversions of common units of length.
Serhud [2]

Answer:

98.4252

Step-by-step explanation:

This is because 1 millimeter is 0.0393701 inches;2,500 millimeters =0.0393701 multiply 2,500=98.4252.

6 0
4 years ago
Read 2 more answers
Dean spent two hours watching television and decided to keep track of the amount of time spent on commercials. He was surprised
Gelneren [198K]
I believe it should be about 40% because you divide 120min(2hrs) by 48min and get 2.5 then you divide 100 by 2.5 and get 40%
6 0
3 years ago
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