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Alecsey [184]
1 year ago
15

Simplify -3d^-8(-4d^-14)

Mathematics
2 answers:
Brut [27]1 year ago
7 0

Answer:

\large\boxed{12d^{-22}=\dfrac{12}{d^{22}}}

Step-by-step explanation:

(-3d^{-8})(-4d^{-14})=\bigg((-3)(-4)\bigg)\bigg((d^{-8})(d^{-14})\bigg)\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12d^{-8+(-14)}=12d^{-22}

\text{You can use}\ a^{-n}=\dfrac{1}{a^n}\\\\12d^{-22}=12\cdot\dfrac{1}{d^{22}}=\dfrac{12}{d^{22}}

Lunna [17]1 year ago
7 0

Answer:

12 / d^22.

Step-by-step explanation:

-3d^-8(-4d^-14)

= (-3*-4) d^(-8+-14)

= 12d^-22

= 12 /d^22.

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Emma is planning her summer and would like to work enough to travel and buy a new laptop.
V125BC [204]
For the answer to the question above, <span>f x is the number of days she works, she'll earn $90x </span>
<span>After buying the laptop, she'll have $90x - $700 left over, which will pay for ($90x - $700) / $150 days of travel. So we have y = ($90x - $700) / $150 = (9x - 70) / 15 = 0.6x - (14/3) </span>
<span>Note that y can't be negative. Also, if y = 0, then Emma doesn't get to travel at all, so we should avoid that. So we have: </span>
<span>0.6x - (14/3) > 0 </span>
<span>0.6x > 14/3 </span>
<span>x > (14/3) / 0.6 </span>
<span>x > 70/9 </span>
<span>The question says that x can be up to 40, so the domain is 70/9 < x <= 40 </span>
<span>That's approximately 7.777... < x <= 40 </span>
<span>Multiply those numbers by 0.6 and then subtract 700 to get the range: </span>
<span>0 < y <= 58/3 </span>
<span>That's approximately 0 < y <= 19.333</span>
3 0
2 years ago
Read 2 more answers
Find the measure of b. A. 80 B. 70 C. 40 D. 20
BlackZzzverrR [31]

Answer:

40°

Step-by-step explanation:

e = 20°

d = 20°

c = 140°

b = 40°

8 0
2 years ago
Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 an
kap26 [50]

Answer: 0.083


Step-by-step explanation:

Numbers on cube=6

faces on coin=2

Therefore, the total outcomes=6\times2=12

Now, the favorable outcome that he rolls a 4 and flips a head=1

The probability that he rolls a 4 and flips a head=\frac{\text{favorable outcome}}{\text{total outcome}}

⇒The probability that he rolls a 4 and flips a head=\frac{1}{12}=0.083333\approx0.83.

Therefore, The probability that he rolls a 4 and flips a head=0.083

3 0
2 years ago
Read 2 more answers
Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6
zalisa [80]

We have been given two polynomials 3x^2-2x -4 \text{ and } 2x^2+x-3

Let us first multiply these polynomials.

(3x^2 - 2x - 4)(2x^2 + x - 3)\\&#10;\\&#10;=3x^2(2x^2 + x - 3) -2x(2x^2 + x - 3)-4(2x^2 + x - 3)\\&#10;\\&#10;=6 x^4 - x^3 - 19 x^2 + 2 x + 12

Now, we know that polynomials follows closure property of multiplication.

It means that when we multiply two polynomials, the result will be a polynomial.

Since, when we multiplied the given polynomials, we got 6 x^4 - x^3 - 19 x^2 + 2 x + 12 which is a polynomial.

Therefore, the correct option is

The result 6 x^4 - x^3 - 19 x^2 + 2 x + 12   is a polynomial.


4 0
1 year ago
- If 2x2 + 8y = 121.5 and x2 - 8y = 121.5, then x =<br> 9<br> 6.36<br> 16<br> 7
Natalija [7]

Step-by-step explanation:

2x² + 8y = 121.5

x² - 8y = 121.5

Add the equations together to eliminate the y terms.

3x² = 243

x² = 81

x = 9

4 0
2 years ago
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