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musickatia [10]
2 years ago
11

Simplify the exponential equation.

Mathematics
2 answers:
swat322 years ago
4 0

Answer: h.

Step-by-step explanation:

h^{-1}*h^5*h^{-3}=\\h^{-1+5+(-3)}=\\h^{-1+5-3}=\\h^1=\\h.

zepelin [54]2 years ago
4 0
<h3>h⁻¹ · h⁵ · h⁻³</h3>

<em>Use the rules of exponents to simplify the expression.</em>

<h3>1/h h⁵h⁻³</h3>

<em>Use the multiplication rule for exponents.</em>

<h3>h⁻¹⁺⁵⁻³</h3>

<em>Add the exponents −1 and 5.</em>

<h3>h⁴⁻³</h3>

<em>Add the exponents 4 and −3.</em>

<h3>h¹</h3><h3>For any term t, t¹ = t.</h3><h3>h</h3>

Therefore, the third option is the correct one.

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Work out <br><br> 5 3/4 - 2 1/4
Klio2033 [76]

Answer:

3  1/2

Step-by-step explanation:

So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3   (3/4-1/4) = 2/4 or 1/2

4 0
2 years ago
Complete the table and find the balance A if $5000 is invested an an annual rate of 6% for 15 years and compounded n times a yea
Olenka [21]

Answer:

1: 11982.79

2: 12136.31

4: 12216.09

12: 12270.46

365: 12297.10

Step-by-step explanation:

The compound interest formula is A=P*(1+r/n)^nt

P=principal amount

r=rate

n=number of compounds per period

t=number of periods

In this situation, the principal amount is 5,000=P. The rate is 6%, so r=0.06. n is equal to the top number in the table. And this is 15 years, so t=15.

For 1, it would be A=5,000*(1+.06/1)^1*15, or A=5,000(1.06^15), or 11982.79.

For 2, it would be 5,000*(1+.06/2)^2*15, or 5,000*(1.03^30), or 12136.31.

And so forth. Good luck

5 0
3 years ago
How do you ungroup a 3 digit number? My nephew is working on his homework and I have no clue how to help him.
Talja [164]

In monetary terms, you're making change. If you need more ones, you trade one 10 for 10 ones.

When I was in school, many years ago, we used small superscript-type numbers to show this:

  7 3 0 ⇒ 7 2 ¹0 . . . . regrouping to gain 10 ones

  7 2 ¹0 ⇒ 6 ¹2 ¹0 . . .regrouping again to gain 10 more tens

You'd have to look at the example problems that precede this page in order to see what the meaning of "magnifying glass" is.

6 0
3 years ago
A table saw is on clearance for 20% off. If the sale price of the table saw is $380, what was the original price? Justify your s
Nikolay [14]

20% off means it is selling for 80% of the original price ( 100% - 20% =80%)

Divide the sale price by 80% as a decimal:

380/0.80 = 475

The original price was $475

Justify:

Multiply the original price by 20% and subtract:

475 x 0.20 = 95

475-95 = $380 which is the sale price.

5 0
3 years ago
Read 2 more answers
(07.09) Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car i
atroni [7]

Answer:

Answer: f[c(p)] = 0.9265p

Step-by-step explanation:

Given: Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is , where p is the original price of the car.

He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is , where c is the sale price of the car.

Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-

3 0
3 years ago
Read 2 more answers
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