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svetoff [14.1K]
1 year ago
6

Simplify the expression

Mathematics
1 answer:
NNADVOKAT [17]1 year ago
6 0

Answer:

15m⁹

Step-by-step explanation:

-3m² × -5m⁷ multiply bases (-3×-5=15). when multiplying bases you add exponents (2+7=9)

= 15m⁹

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Mr. Rawlings had 60 cookies he wanted to give each of his 16 grandchildren the same number of cookies what is the greatest numbe
Solnce55 [7]
He could give each grandchild 3 cookies each. He would then have 12 cookies remaining.

You would divide 60 by 16 which would be 3 with a remainder of 12. The remainder is the number of cookies left after giving each grandchild the same amount of cookies each.

I hope this helps!
3 0
3 years ago
What is the probability that at least one of the two projects will be successful?
nalin [4]
1/2 or .5
Because there is two tests happening and that is the denominator, and if the probability of only one working it was be 1/2
7 0
3 years ago
A person's height is 5-ft 3-in. Their shadow has a length of 3-ft 6-in. If a nearby tree has a shadow of length 10-ft 4-in, what
Alchen [17]

Answer: The height of tree = 15 ft. 6 inches

Step-by-step explanation:

Given: A person's height is 5-ft 3-in = [5 x (12 )+3 ]  inches    [ 1 ft= 12 inches]

= 63 inches      

Their shadow has a length of 3-ft 6-in = [3 x 12+6] inches    

= 42 inches

If a nearby tree has a shadow of length 10-ft 4-in = [10 x 12+4] inches

= 124 inches.

At the same time,

\dfrac{\text{Height of tree}}{\text{Height of person}}=\dfrac{\text{Length person's shadow}}{\text{Length of tree's shadow}}\\\\\dfrac{\text{Height of tree}}{63}=\dfrac{124}{42}\\\\\Rightarrow\ \text{Height of tree}=\dfrac{124}{42}\times63=186\ inches\\\\=\dfrac{186}{12}= 15.5 ft\ or\ 15 ft.\ 6\ inches.

Hence, the height of tree = 15 ft. 6 inches

7 0
3 years ago
Kym plans to deposit $100 in an account at the end of each month for the next five years so that she can take a trip. (a) If Kym
yaroslaw [1]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Monthly deposit= $100

Interest rate= 0.06/12= 0.005

Number of periods= 12*5= 60 months

<u>a)</u>

<u>To calculate the future value, we need to use the following formula:</u>

FV= {A*[(1+i)^n-1]}/i

A= monthly deposit

FV= {100*[(1.005^60) - 1]} / 0.005

FV= $6,977

b) <u>If the deposit is at the beginning of the month, the interest is compounded one more period</u>. We need to use the following formula:

FV= {A*[(1+i)^n-1]}/i + {[A*(1+i)^n]-A}

FV= 6,977 + {[100*(1.005^60)] - 100}

FV= 6,977 + 35

FV= $7,012

3 0
3 years ago
F(x)=20/4+3e−0.2x
sdas [7]

Answer:

12.6

Step-by-step explanation:

Given the function, F(x)=20/4+3e−0.2x

Where e is an exponential function,

To get f(3), we need to substitute x = 3 into the given function

F(3) = 20/4 + 3e - 0.2(3)

f(3) = 5 + 3e - 0.6

f(3) = 4.4+3e

Substituting the value of e = 2.718

f(3) = 4.4+3(2.718)

f(3) = 12.554

f(3) = 12.6 to the nearest tenth.

8 0
3 years ago
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