1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksklad [387]
3 years ago
14

Which of the following is the solution to the equation 25^(z − 4) = 125? (6 points)

Mathematics
2 answers:
Phoenix [80]3 years ago
7 0

Answer:

z = \frac{11}{2}

Step-by-step explanation:

Using the rule of exponents

(a^m)^{n} = a^{mn} , then

25^{z-4} = 125 [ 25 = 5² and 125 = 5³ ]

(5^2)^{z-4} = 5³

5^{2z-8} = 5³

Since the bases on both sides are equal, both 5, then equate the exponents

2z - 8 = 3 ( add 8 to both sides )

2z = 11 ( divide both sides by 2 )

z = \frac{11}{2} ( = 5.5 )

PIT_PIT [208]3 years ago
5 0

Answer:

Sent you this for a reference so please do the needful to me ASAP as I am now working on the same and I will be sending the same

You might be interested in
Change 2.6 from decimal to fractions show explanation
noname [10]

Answer:

Step-by-step explanation:

The 2 in 2.6 is in the ones place so we know that it equals 200. The 6 in 2.6 is in the tenths place so we know that it equals 60.  Add 200 with 60 to get 260/10. The denominator is 10 because 2.6 only extends to the tenths place.

8 0
2 years ago
Convert 124/10 into a mixed number
serious [3.7K]
To do  this simply see how many times 10 can go into 124.

It can go in 12 times right?

12 is your whole number.

The four is still left and it is going to stay there.  So right now you have:
12 and 4/10

4/10 can be simplified by dividing it by 2.

This leaves you with 2/5

Your answer is 12 and 2/5
6 0
3 years ago
Read 2 more answers
Question 1
Flauer [41]

Answer:

<em>Correct choice: b. $1221.00</em>

Step-by-step explanation:

<u>Compound Interest</u>

It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:

{\displaystyle A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}}

{\displaystyle A=\$1000\left(1.00333}\right)^{60}}

A = $1221

Correct choice: b. $1221.00

5 0
2 years ago
An aircraft has 36 seats available for passengers. The cost per adult is $948 and $748 per child to fly from Melbourne to Cairns
AnnZ [28]

Answer:

x

Step-by-step explanation:

The number of adults is given to be x.

6 0
1 year ago
Someone please help me for good points
LuckyWell [14K]

Answer:

The answer is C

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Which are measurements of the sides of a right triangle?
    12·1 answer
  • 13. Mr. Carmello drives 30 miles each
    13·1 answer
  • Is each fraction in simples form? Write yes or no 2/4
    13·2 answers
  • There are 20 diamonds and 15 squares what is the ratio of squares to diamonds (REDUCE)
    8·2 answers
  • 23 - x = 142 ggghhgfff
    13·1 answer
  • Mang narvin sells pots.if he earns php450.50 per day. how much will he earn in a month?
    12·1 answer
  • Find the midpoint of AC is at -2 and C is at 3 on a number line
    13·1 answer
  • Someone help with math , thanks &lt;3
    15·1 answer
  • If a sample mean is 96, which of the following is most likely the range of possible values that best describes an estimate for t
    9·2 answers
  • If point E is the midpoint of segment AC and point D is the midpoint of segment BC, which expression represents the value of u?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!