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Bingel [31]
3 years ago
5

What is the value of y? Please show work of how you solved! Thankyou

Mathematics
1 answer:
kap26 [50]3 years ago
6 0
log_4(y+2)=3
raise each side to base 4
4^{log_4(y+2)}=4^3
simplify
(y+2)}=64   using the law of logarithms a^{log_ab}=b
=>
y=62
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2) A government agency produced a study in which they randomly chose 100 students just beginning college to determine what perce
just olya [345]
The answer is B. some of the sample data are missing.

This is because out of the 100 students originally sampled by the government agency, only 88 results were taken. 

Additionally, we cannot fully take A. as the answer because a non-response error happens when sampling units are not interviewed maybe because they were unavailable or unwilling. So B. is the safer answer.
7 0
3 years ago
Calculate the product of 8/15, 6/5, and 1/3. 
Mariulka [41]
\frac{8}{15} * \frac{6}{5} * \frac{1}{3}

First, I would multiply the last two fractions because they're smaller and easier to work with:

\frac{8}{15} * \frac{6}{5} * \frac{1}{3} = \frac{8}{15} * \frac{6}{15}

Now that we've simplified it, we could multiply these terms and simplify.  An easier method, however, would be to cancel out any common factors among the numerators and denominators before multiplying:

\frac{8}{15} * \frac{6}{15} = \frac{8}{5} * \frac{2}{15}

We can now multiply these terms:

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The <span>product of 8/15, 6/5, and 1/3 is B, 16/75.</span>
5 0
3 years ago
Find the greatest common factor of 270 and 360.
Vitek1552 [10]
Finding the greatest common factor ( or G C F ):
G C F is the largest number that divides evenly into all the numbers.
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360 : 90 = 4
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4 0
3 years ago
Read 2 more answers
The population of a certain species of insect is given by a differentiable function P , where P(t) is the number of insects in t
Dmitriy789 [7]

Answer:

Option C, dP/dt=1/5P

Step-by-step explanation:

The change is population of insects is directly proportional to the rate of change of population

Hence,

\frac{dP}{dt} \alpha P

Or \frac{dP}{dt} = kP

where K is the proportional constant

We will find the value of k

Keeping the given values of rate of change of population and population in above equation, we get -

\frac{2}{10} = k\\k = \frac{1}{5}

Hence,

\frac{dP}{dt} = \frac{1}{5} P

3 0
3 years ago
In the finals of a singing contest at Greenvale Middle School, 300 students vote on which
lesantik [10]

Answer:

Gamba obtained 75 more votes than Ahmed.

Step-by-step explanation:

Given that in the finals of a singing contest at Greenvale Middle School, 300 students voted on which contestant they liked best, and Gamba got 35% of the votes while Ahmed got 10%, to determine how many more votes did Gamba get than Ahmed the following calculation should be performed:

(300 x 0.35) - (300 x 0.10) = X

105 - 30 = X

75 = X

Thus, Gamba obtained 75 more votes than Ahmed.

8 0
2 years ago
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