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3 years ago

Write the equation in exponential form log4 1/6=-2

1 answer:

8 0

<span><span>Remember: loga</span>x</span>=b⇒<span>ab</span>=<span>x

in which "a" is the base of the log.

log4 (1/16) = 4^-2 = 1/4^2 = 1/16

4 to the power of -2 is equal to 1/16.

To answer this question, the equation in exponential form of "log4 (1/16) = -2" is " 4^-2 " (4 to the power of -2). :D

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A scientist has a container of 2% acid solution and a container of 5% acid solution. How many fluid ounces of each concentration

algol [13]

Let 'a' be the number of ounces of 2%-solution in the 25-ounce mixture

and 'b' be the number of ounces of 5%-solution in the 25-ounce mixture.

Since, fluid ounces of each concentration should be combined to make 25 fl oz.

So, a+b=25 (Equation 1)

And, a container of 2% acid solution and a container of 5% acid solution should be combined to make 25 fl oz of 3.2% acid solution.

So, a of 2% + b of 5% = 3.2% of 25

$(a \times \frac{2}{100})+(b \times \frac{5}{100})= 25 \times \frac{3.2}{100}$

$(0.02a)+(0.05b)= 0.8$

Multiplying the above equation by 100, we get

$2a+5b=80$ (Equation 2)

Substituting the value of a=25-b in equation 2, we get

$2(25-b)+5b=80$

$50-2b+5b=80$

$50+3b=80$

$3b=30$

$b=10$

Since, a=25-b

a= 25-10

a=15.

So, 15 fluid ounces of 2% solution combined with 10 ounces of the 5% solution to create a 25-ounce mixture at 3.2% concentration of acid.

7 0

2 years ago

Carrie runs 11.5 miles and five hours at a study pi runs 11.5 miles in five hours at a steady pace how long does it take her to

alukav5142 [94]

dividing 11.5 by 5 gives you the unit rate, then you just multiply that answer by 2 and you should be okay

8 0

2 years ago

The rectangular diagram shows the design for a tood

Ksivusya [100]

Answer:

Step-by-step explanation:

What diagram?

8 0

2 years ago

Rewrite in simplest terms: 9(m-9)-4(10m+2)9(m−9)−4(10m+2)

trasher [3.6K]

The required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.

Given that,
To rewrite in simplest terms: 9(m-9)-4(10m+2).

<h3>What is simplification?</h3>

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Question asked to simplify the term 9(m-9)-4(10m+2).

= 9(m - 9) - 4(10m + 2)
= 9m - 81 - 40m - 8
= -31m - 90

Thus, the required simplified expression for 9(m - 9) - 4(10m + 2) is -31m - 90.

Learn more about simplification here: brainly.com/question/12501526

#SPJ1

7 0

1 year ago

Evaluate the expression. (8 − 5)3 − 24

Amiraneli [1.4K]

Answer:

-15

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers