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3 years ago

Write 9*6 as a power with a base 3

Mathematics

1 answer:

ad-work [718]3 years ago

3 0

$9=3^2\\6=3\cdot2\\\\9\cdot6=3^2\cdot3\cdot2=2\cdot3^{2+1}=2\cdot3^3\\\\Used:a^n\cdot a^m=a^{n+m}$

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Given the box plot, will the mean or the median provide a better description of the center?

yuradex [85]

Answer:

The median, because the data distribution is skewed to the right

Step-by-step explanation:

If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left. The data is skewed right. The median would be a better estimate, because one or two numbers on the high end will cause the numbers to be skewed to the right, and the mean to be high

4 0

3 years ago

Read 2 more answers

The Colonel spots a campfire at a bearing N 59∘59∘ E from his current position. Sarge, who is positioned 242 feet due east of th

Rashid [163]

Answer:

i. Colonel is about 201 feet away from the fire.

ii. Sarge is about 125 feet away from the fire.

Step-by-step explanation:

Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.

The total angle at the campfire from both the Colonel and Sarge = $59^{0}$ + $34^{0}$

= $93^{0}$

Thus,

<CAB = $90^{0}$ - $59^{0}$ = $31^{0}$

<CBA = $90^{0}$ - $34^{0}$ = $56^{0}$

Sine rule states;

$\frac{a}{Sin A}$ = $\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{b}{Sin 56^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{b}{0.8290}$ = $\frac{242}{0.9986}$

cross multiply,

b = $\frac{0.8290*242}{0.9986}$

= 200.8993

Colonel is about 201 feet away from the fire.

ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;

$\frac{a}{Sin A}$ = $\frac{c}{Sin C}$

$\frac{a}{Sin 31^{0} }$ = $\frac{242}{Sin 93^{0} }$

$\frac{a}{0.5150}$ = $\frac{242}{0.9986}$

cross multiply,

a = $\frac{0.5150*242}{0.9986}$

= 124.8073

Sarge is about 125 feet away from the fire.

8 0

3 years ago

Find the value of X PLS HELP PLS

IceJOKER [234]

Answer:

x=59

Step-by-step explanation:

x+12+x+x-9=180

3x+3=180

-3 -3

3x=177/3

x=59

5 0

3 years ago

Jose needs to memorize words on a vocabulary list for French class. He has memorized 20 of the words, which is four-fifths of th

Stella [2.4K]

Answer:

Explanation:

In order to solve this the easiest way you can use equivalent fractions.

$\frac{4}{5} = \frac{20}{?}\\$

Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.

$\frac{4}{5} * \frac{5}{5} = \frac{20}{25}$

25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use t for total.

$\frac{4}{5} = \frac{20}{t}\\$