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vladimir2022 [97]
3 years ago
14

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

Mathematics
2 answers:
posledela3 years ago
7 0
The correct answer is
 <span>x = log base 10 of 64, all over log base 10 of 4</span>
zysi [14]3 years ago
3 0
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}
note: we don't need to write the base in case of the base =10

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

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Choose an equivalent system of equations to the following system:
andrezito [222]

Answer:

B.  6Fx + 6Gy = 6H

    Qx + Ry = S

Step-by-step explanation:

Equivalent equations can be created many ways. One of the simplest is to multiply both sides of the equation by the same number. In the answer above, the first equation has been multiplied by 6. Nothing has been done to the second equation.

_____

<em>Comments on other choices</em>

A: some terms have been multiplied by 6. This changes the equation(s) so they are no longer equivalent to the ones you started with.

B: the correct choice

C: see A.

D: the first equation has been multiplied by 6, so that is equivalent to the original. The second equation has the sign of one of the terms changed, so it is now a different equation.

3 0
3 years ago
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. A car goes from 0 to 100 km/hr in 10 seconds. What is its acceleration? 
Ugo [173]
3.6 km/hr 10s= 1/6 min=1/360hr acceleration=100/(1/360)= 36,000 km/h^2 im/s+(0.001)km/(1/3600)s= 3.6km/hr
5 0
3 years ago
13. If the following fractions were converted to decimals, which one would result in a repeating decimal? A. 3/4 B. 1/9 C. 5/11
Vladimir [108]
Hey there!

In order to find if a fraction would result in a repeating decimal, recall that a fraction is a division problem written vertically. All that you have to do is divide the numerator by the denominator. Also, remember that a repeating decimal will result in the same number after the decimal point as long as the calculator can handle. 

3 ÷ 4 = 0.75

1 ÷ 9 = 0.11111111...

5 ÷ 11 = 0.45454545...

3 ÷ 0.42857143...

As you can see, two out of your four answer choices give you a repeating decimal. B gives you a repeated number of "1" while C gives you "45". D doesn't count since there is no pattern of repeated numbers that it follows. 

Both B and C fall into the category of repeating decimal. If you're only able to choose one answer, I would ask your teacher, a parent, or a peer what they think. 

Hope this helped you out! :-)
5 0
3 years ago
Simplify 6/ square root 3+2
Ivenika [448]
From what i see it could be
Exact form: 6 square root 5/ 5
Decimals: 2.68
3 0
3 years ago
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Sever21 [200]

Answer:

1/7

Step-by-step explanation:

Plug in 2 for m, and 14 for n in the expression:

m/n = 2/14

Simplify. Factor out common factors from both the numerator and denominator:

(2/14)/(2/2) = 1/7

1/7 is your answer.

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3 0
3 years ago
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