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kkurt [141]
3 years ago
11

Are the expressions (-2)^4 and -2^4 equivalent? Explain how you know.

Mathematics
2 answers:
Elden [556K]3 years ago
3 0
No, becasue of PEMDAS
so parenthasees first
exponents next
mulitplciation next

(-2)^4=-2 times -2 times -2 times -2=positive number since even number of negative signs

-2^4=-1 times 2^2=-1 times 2 times 2 times 2 times 2=negative number since odd number of negative signs
Zarrin [17]3 years ago
3 0
They are not equivalent. 
because (-2)^4 is in the parenthesis so the - before 2 are together and both will go to the 4 power so the answer will be: (-2)^4 = 16 
but the other one is not in the parenthesis so the - will not go to the 4 power and the answer will be: -2^4 = -16 
so 16 is not equivalent to -16 :)))
i hope this is helpful 
have a nice day 
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Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the fra
yulyashka [42]

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
? Question
uysha [10]

Answer:

B1: -9, -3, and 10

B2: 5

Step-by-step explanation:

mark brainliest

8 0
2 years ago
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil
GalinKa [24]

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations.  Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

3 0
3 years ago
How do you divide 3.5 into 45
slega [8]

Answer:

12.8

Step-by-step explanation:

make a beginning a a rectangle like a dividing box and put 45 on the outside and 3.5 in the inside

4 0
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