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Igoryamba
3 years ago
13

Applying Properties of Exponents In Exercise,use the properties of exponents to simplify the expression.

Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

(A) e^2

(b) e^{-3}

(c) e^2

(d) e^3

Step-by-step explanation:

We have given expression and we have to simplify the expression using exponent property

(A) (\frac{1}{e})^{-2}

So (\frac{1}{e})^{-2}=\frac{1}{e^{-2}}=e^2

(b) (\frac{e^5}{e^2})^{-1}

So (\frac{e^5}{e^2})^{-1}=(e^{3})^{-1}=e^{-3}

(c) \frac{e^5}{e^3}

So \frac{e^5}{e^3}=e^2

(d) \frac{1}{e^{-3}}=e^3

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Jane has $5 more than three times as much money as Lonnie has.Bob has $1 less than four times as much money as Lonnie has. All t
kkurt [141]
Starting equation:
92=J+L+B

To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1

Enter those equations in the problem

92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L

Answer:
Lonnie has $11
Jane has $38
Bob has $43

side note: Lonnie is that one poor friend we all have
5 0
3 years ago
the distribution of heights of adult American men is approximately normal with mean 68 in and a standard deviation of 2.5 in wha
melamori03 [73]

Let x be a random variable representing the heights of adult American men. Since it is normally distributed and the population mean and standard deviation are known, we would apply the formula,

z = (x - mean)/Standard deviation

From the information given,

mean = 68

standard deviation = 2.5

The probability that the height of a selected adult is between 63 and 73 is expressed as

P(68\leq x\leq73)

For x = 63,

z = (63 - 68)/2.5 = -2

Looking at the normal distribution table, the probability corresponding to the z score is 0.02275

For x = 73,

z = (73 - 68)/2.5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

Therefore,

P(68\text{ }\leq x\leq73)\text{ = 0.97725 - 0.0}2275\text{ = 0}.9545

Thus, the percentage of men are between 63 and 73 is

0.9545 * 100 = 95.45%

Rounding up to the nearest percentage, the answer is 95%

8 0
1 year ago
Need help please.........................
Archy [21]

Answer:

16t^{2} + 2t - 6

Step-by-step explanation:

(12t^{2}  + 5t -y) - (-4t^{2} + 3t -1)

simplify

12t^{2} + 5t -7 +4t^{2} -3t +1

combine like terms

16t^{2} + 2t - 6

8 0
3 years ago
Which of the following factors could explain why Dellva Energy had a negative net cash flow last year, even though the cash on i
Dvinal [7]

Answer:

The company sold a new issue of bonds.

Step-by-step explanation:

A new issue of bonds is commonly known as a process or a way by which companies try to acquire a substantial amount of money via bonds selling in a typical bond market. The company, in this case, recorded a negative net cash flow in its balance sheet even with an increase in cash flow because it sold a new issue of bonds.

7 0
3 years ago
Please help
bezimeni [28]

Answer:

26-4s=9s

26-(4s-9s)=0

26+5s=0

5s=-26

ans: s= -26/5

-3r+10=15r-8

-3r-15r=-8-10

-18r=-18

18r=18

ans: r=1

-9(t-2)=4(t-15)

-9t+18=4t-60

-9t-4t=-60-18

-13t=-78

13t=78

ans: t=26

THERE U GO! :D

5 0
2 years ago
Read 2 more answers
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