2 years ago

What is the value of x?

Mathematics

1 answer:

alexandr402 [8]2 years ago

7 0

Answer: The value of x is 7

Step-by-step explanation:

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Find the value of m. (-3/4)-⁴×(-3/4)-¹¹ = (-3/4)^m

tatiyna

Answer:

m = - 15

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ , then

$(-\frac{3}{4}) ^{-4}$ × $(-\frac{3}{4}) ^{-11}$ = $(-\frac{3}{4}) ^{m}$ , that is

$(-\frac{3}{4}) ^{(-4-11)}$ = $(-\frac{3}{4}) ^{m}$

$(-\frac{3}{4}) ^{-15}$ = $(-\frac{3}{4}) ^{m}$

Equating exponents gives

m = - 15

4 0

2 years ago

Tadeo is a beekeeper. The table shows the weekly number of bees producing honey in a new hive. Which expression gives the number

Afina-wow [57]

The exponential equation that gives the number of bees in week 12 is of:

$y = 4(3)^{11} = 708588$

<h3>What is an exponential function?</h3>

It is modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

$y = 4(3)^{x - 1}$

Hence, after 12 weeks, the expression is:

$y = 4(3)^{11} = 708588$

More can be learned about exponential equations at brainly.com/question/25537936

7 0

2 years ago

Read 2 more answers

The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in

vivado [14]

They are essentially asking us to solve:

$357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1$

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

4 0

3 years ago

Read 2 more answers

Jill and Sam are racing go-karts. Jill's completed 16 laps in 12 minutes. If Sammy raced at the same rate, how many minutes did

Umnica [9.8K]

It would take 2.25 minutes to complete 3 laps because each lap takes .75 minutes.

4 0

3 years ago

I think the answer is c can someone check me

Katen [24]

Answer:

Step-by-step explanation:

you first have to find the domain by finding where the expression is defined

so the answer would be x>5

6 0

3 years ago