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Andre45 [30]
3 years ago
7

Select the correct answer.

Mathematics
1 answer:
xenn [34]3 years ago
3 0

Answer:

B. 64

Step-by-step explanation:

Note that a^{-n} = \frac{1}{a^{n} }. Therefore

(2w^{-2} )^{3} * (8w^{6} ) = 8w^{-6} * 8w^{6} = 8 * \frac{1}{w^{6} } * 8 * w^{6} =  8 * 8 * \frac{w^{6} }{w^{6} } = 8 * 8 * 1 8 * 8 = 64

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Help please!!! Thank you
ANTONII [103]

Answer:

Option (G)

Step-by-step explanation:

Let the length of the race = a miles

Since, Speed = \frac{\text{Distance}}{\text{Time}}

Time taken to cover 'a' miles with the speed = 12 mph,

Time taken 't_1' = \frac{a}{12}

Time taken to cover 'a' miles with the speed = 11 mph,

Time taken 't_2' = \frac{a}{11}

Since the time taken by David to cover 'a' miles was 10 minutes Or \frac{1}{6} hours more than the time he expected.

So, t_2=t_1+\frac{1}{6}

\frac{a}{11}=\frac{a}{12}+\frac{1}{6}

\frac{a}{11}-\frac{a}{12}=\frac{1}{6}

\frac{12a-11a}{132}=\frac{1}{6}

a = 22 mi

Therefore, distance of the race = 22 mi

Option (G) is the correct option.

6 0
3 years ago
In this arithmetic sequence, what is the common difference? <br><br> 11,8,5,2
Levart [38]

Answer:

Step-by-step explanation:

yes

c.d.=8-11=-3

11,8,5,2,-1,-4,...

7 0
4 years ago
What is the value of the expression when a = 6, b = 4, and c = 8?
Y_Kistochka [10]

Answer:

a the answer is a

Step-by-step explanation:

7 0
3 years ago
In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?
mart [117]

They're trying to trick you with √2.  Remember in the 30/60/90 triangle the sides are in ratio 1:√3:2, with the "1" opposite the 30 degrees.

Here we have

1:√3:2  = 6√2:x:hypotenuse

or

x/(6√2) = √3/ 1

x = 6√2×√3 = 6√6

Answer: AC=6√6

3 0
4 years ago
Danica is in the observation area of the sears tower in chicago overlooking lake michigan. She sights two sailboats going due ea
inessss [21]

Answer:

The boats are far apart by 4506.1 feet

Step-by-step explanation:

from the graph attached

i) BC = 1353 \times tan(71\textdegree) = 2761.82 feet

ii) BD  = 1353 \times tan(58\textdegree) =  1744.28 feet

iii) the boats are far apart by = CD = CB + BD = 2761.82 + 1744.28 = 4506.1 feet

3 0
4 years ago
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