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TEA [102]
3 years ago
7

Simplify 12y^7/18y^-3. Assume y=0

Mathematics
2 answers:
qaws [65]3 years ago
8 0

For this case we must simplify the following expression:

\frac {12y ^ 7} {18y ^ {- 3}}

We have that by definition of properties of powers, it is fulfilled that:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Then, we can rewrite the expression:

12y ^ 7 * 18y ^ 3

By definition of multiplication properties of powers of the same base we have:

a ^ m * a ^ n = a ^ {m + n}

So:

12y ^ 7 * 18y ^ 3 = (12 * 18) * y ^ {7 + 3} = 216y ^ {10}

Answer:

216y ^ {10}

When y = 0 the expression is 0

gulaghasi [49]3 years ago
6 0

Answer:

its the third one i got that

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There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to ren
Delicious77 [7]
Let x be the daily fee
0.5(48) +x = 64  is the equation, 
Multiply:
24 + x = 64
Subtract:
 x=40
The daily fee is $40
Hope this helps

Credit to Bob3141 (My first answer was wrong)
3 0
3 years ago
Read 2 more answers
ngozi earns \$24{,}000$24,000dollar sign, 24, comma, 000 in salary in the first year she works as an interpreter. each year, she
goblinko [34]

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by S = 24000 *  (1.035)^t.

What is a function?

  • A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
  • A relation between a collection of inputs and labor is known as a function.

You can use the fact that the raise is done on the previous year's salary.

Let the initial salary be P = $24000

After 1 year, her salary increased by R = 3.5% which, thus,

Total salary = P + increment

Similarly going on, we get

P_t = P(1+ \frac{R}{100})^t = S (we can say)

Putting values of P(value of P) and R(value of R), we get

S = 24000(1 + 0.035)^t = 24000 *(1.035)^t

Thus,

The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by

S = 24000 *  (1.035)^t

Learn more about function here:

brainly.com/question/25638609

#SPJ4

8 0
1 year ago
Tom can do a job in 4 hours while Sam can do it in 6 hours. How many hours would it take to complete this job if they work toget
Hunter-Best [27]

Answer:

12/5hours=2.4 hours

Step-by-step explanation:

Sam:6hours

Tom:4hours

This is a rate problem

Sam's rate is one job completed in 6 hours which is 1/6

Tom's rate is one job completed in 4 hours which is 1/4

Together, they could complete 1/4+1/6 of the job in y hours

We are trying to find the rate at which Sam and Tom could complete the job together, or one job in x days, for a rate of 1/y

1/4+1/6=1/y

The least common denominator is 12y

Multiplying through by the LCD which gives:

12y(1/4)+ 12y (1/6)= 12y (1/y)

3y + 2y=12

5y = 12

y=12/5 hours=2.4hours

Therefore it will take 12/5 hours or 2.4 hours to complete the job if they work together

4 0
2 years ago
If ben works for 12 hours, how much will he be paid?
Lelu [443]

Answer:

Mutiply this by whatever other value there is.

Step-by-step explanation:

5 0
2 years ago
At sea level, earths atmosphere exerts a pressure of 1 atmosphere. Atmospheric pressure P (in atmospheres) decreases with altitu
PtichkaEL [24]

Answer:

Initial Amount=1

Decay Factor=0.99987

Decay Rate=0.013%

Step-by-step explanation:

If P = 0.99987ᵃ

I. Initial amount

The initial amount is when a=0

P = 0.99987⁰ = 1

The Pressure at Sea Level=1

II. Decay factor

This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.

III. Decay Rate = 1-0.99987 = 0.00013

Expressed in Percentage = 0.013%

5 0
3 years ago
Read 2 more answers
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