Which of the following is the solution to the equation 25^(z - 4) = 125 ? Select one: A. z = 5.5. B. z = 3.5. C. z = -2.5. D. z = -0.5.

Answers

Answer 1

Answer:
given
25^(z - 4) = 125
ln(25^(z - 4)) = ln (125)
(z-4)ln(25) = ln(125)
z = ln(125)/ln(25) + 4
z = 5.5

which means that the answer is A.

Answer 2

Answer:

The solution of 25^(z - 4) = 125 is equal to a. Z = 5.5

How to solve this equation

25^(z - 4) = 125

From here we have to the ln of the equation

z-4 ln25 = ln125

z-4 (3.219)= 4.828

From here we have to multiply the equation

3.219z - 12.876 = 4.828

3.219z = 4.828 + 12.876

When we divide this equation by 3.219

We have z = 5.499

Hence z = 5.5

Therefore the solution to the equation is given as 5.5

Read more on solutions to equations here:

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There are 3 red gumdrops and 2 green gumdrops in a small jar.Also, 4 pieces of butterscotch candy and 1 piece of cinnamon candy are in another jar. If craig draws one piece of candy from from each jar without looking? what is the probability that he will get a red gumdrop and a piece of cinammon candy?

Answers

I don't really understand your question. You claim he draws one piece of candy, then ask for the probability of a red gumdrop followed by a cinnamon candy. Regardless, I'll just answer the latter question (Assuming they're not replaced):

3+2+4+1 = 10

3/10 x 1/9 = 0.033333 or 1/30

The answer fir the red gumdrops is 60%. The answer for the cinnamon candy is 20%.

If there were 300 accidents in 1967 and 380 in 1968, what is the percent increase?

Answers

Answer:

As per the statement:

If there were 300 accidents in 1967 and 380 in 1968.

Number of accident in 1967= 300

Number of accident in 1968= 380

then;

Increase in accident = 380-300 = 80

Using formula to find the percent increase:

$\text{Increase in percent} = \frac{\text{Increase in accident}}{\text{Number of accident in 1967}} * 100$

Substitute the given values we have;

$\text{Increase in percent} = (80)/(300) * 100$

Simplify:

$\text{Increase in percent} = (80)/(3) = 26(2)/(3) \%$

Therefore, $26(2)/(3) \%$ is the percent increase

First find the amount of increase: 380-300=80. Then divide the amount of increase by the original amount: 80/300=.266666667. Normally you round to the tenths place: .27. Then make it a percent: .27=27%. The percent of increase is 27% :) hope this helps

anna bakes 12 blueberry muffins, 20 bran muffins, and 8 apple muffins. what percent of the muffins are blueberry?

Answers

Answer:

$\%_B_b=(3)/(10) =0.3=30\%$

Step-by-step explanation:

When we talk about percentages, we refer to that amount, which, proportionally, refers to a part of the total. In this sense, the total amount of muffins would equal 100%. And we need to find what is the percentage of the amount of blueberry muffins, so:

Let:

$Bb=Amount\hspace{3}of\hspace{3}blueberry\hspace{3}muffins\nB=Amount\hspace{3}of\hspace{3}bran\hspace{3}muffins\nA=Amount\hspace{3}of\hspace{3}apple\hspace{3}muffins\n\%_T=Total\hspace{3}percentage=100\%\n\%_B_b=Percentage\hspace{3} of \hspace{3}blueberry\hspace{3} muffins$

$T=Total\hspace{3}amount\hspace{3}of\hspace{3}muffins$

Using cross-multiplication we can find the what percent of the muffins are blueberry:

$(\%_T)/(\%_B_b)= (Bb+B+A)/(Bb) \n\n(100\%)/(\%_B_b) =(12+20+8)/(12)$

Solving for $\%_B_b$

$\%_B_b=(12*100)/(12+20+8)=(1200)/(40)=30\%$

30%. You want to add up all the muffins (which is 40) and make that your denominator. then as the numerator you make it as many blueberry muffins Anna has. (which is 12) you divide 12÷40×100. and that gives you a percent of 30.

Find the difference. (2x^2 - 3x + 7) - (x^2 + 6x - 12)A) A) x^2 + 3x - 5

B) x^2 - 3x + 19

C) x^2 - 6x + 12

D) x^2 - 9x + 19

Answers

Its D.

(2x^2 - 3x + 7) - (x^2 + 6x - 12)

Distribute the negative over the second parentheses:-

= (2x^2 - 3x + 7) - x^2 - 6x + 12

= x^2 - 9x + 19 (answer)

A local hamburger shop sold a combined total of 574 hamburgers and cheeseburgers on Saturday. There were 74 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?

Answers

500 hamburgers, I believe.

Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. Jordan worked 4 more hours than Sydney and they ironed 350 shirts between them. Determine the number of hours Jordan worked and the number of hours Sydney worked.