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cupoosta [38]
2 years ago
9

Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Mathematics
1 answer:
mina [271]2 years ago
6 0

The result of the log function log_a (m * n ^ 2)  is 60

According to the law of logarithm if log_ab=y then b=a^y

Given the following expressions

log_am=10\\log_an=25

This can be expressed as

m =a^{10} \ and \ n = a^{25}

Substitute the value of m and n into the expression log_a (m * n ^ 2) to have:

log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60

This shows that the result of the log function log_a (m * n ^ 2)  is 60

Learn more here: brainly.com/question/12049968

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1 out of every 3 races could be won by Rachelle

Step-by-step explanation:

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Plz help for exam!!!<br> Solve for x and y.
ad-work [718]

Answer:

A x-198,y-99\sqrt{3}

Step-by-step explanation:

since sin p/h you can say

perpendicular is 99

and hypotenuse is x

sin 30=99/x

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and cos is b/h

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6 0
3 years ago
Me need help in math:(help fast
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Step-by-step explanation:

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6 0
3 years ago
Identify the trinomial that is a perfect square. 81x^2 − 70x 16 64x^2 − 90x 25 81x^2 − 72x 16 64x^2 − 70x 25
Vilka [71]
Hmm
(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2

basically
for
ax^2+bx+c
it is a perfect trinomial when
b=2(√a)(√c)
remember to take both positive and negative roots into consideration
because
(a+b)^2=a^2+2ab+b^2 and
(a-b)^2=a^2-2ab+b^2

see each

first one
-70=2(9)(4)
-70=72
false

second
-90=2(8)(5)
-90=80
false

third
-72=(9)(4)
-72=72
false
but, the last one could be negative
(9x-4)^2 is factor
that is the answer


the answer is 81x^2-72x+16
5 0
3 years ago
A survey was conducted to find out how much time people have to spend commuting to work. The sample means for two samples are 71
Lorico [155]

Answer:

E: None of the above

Step-by-step explanation:

Hello!

The objective is to find out how much time it takes people to commute to work.

Two samples where taken and two hypothesis tests where made:

One:

Sample mean 71 min; p-value: 0.03

Two:

Sample mean 72 min; p-value: 0.06

You have to choose from the options, a possible pair of hypotheses used for these two tests.

The parameter of the study is the population mean μ.

In the statistic hypotheses, the parameters are given either a known population value or a suspected value. So all options including sample values are wrong.

As said before the objective of the survey is to "determine how much time people spend commuting to work" in other words, whether or not the population mean is equal to a certain value.

H₀: μ = μ₀

H₁: μ = μ₀

Where μ₀ represents the theoretical value of the population mean. As you can say the hypotheses pair is two-tailed, not one-tailed.

Then the correct answer is E: None of the above

I hope this helps!

7 0
3 years ago
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