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const2013 [10]
3 years ago
5

I need help understanding how to get the answer.

Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

-157.87

Step-by-step explanation:

1) the rules are:

log_a(bc)=log_ab+log_ac;

and

log_ab^c=c*log_ab.

2) according to the rules above:

log_7(yz^8)=log_7y+8log_7z=-6.19-8*18.96=-157.87.

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Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Elanso [62]

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

Choose the first alternative

7 0
3 years ago
Read 2 more answers
A circle has a radius of 4. An arc in this circle has a central angle of 288°.
Vikentia [17]

Answer:

6.4π  units.

Step-by-step explanation:

Length of the arc = radius * the angle in radians

= 4 * 288 * π / 180

= 6.4π.

6 0
3 years ago
Please answer it correctly and I'll mark it​
kirza4 [7]

Answer:

Step-by-step explanation:

1) a very poor question indeed. It has at least two possible solutions

c = 3x + 2                                     or     c = 3(x + 2)

when x = 2

c = 3(2) + 2 = 8                           or      c = 3(2 + 2) = 12                  

when x = 5

c = 3(5) + 2 = 17                          or       c = 3(5 + 2) = 21

2)

y = x + 2

when x = 2

y = 2 + 2 = 4

when x = 5

y = 5 + 2 = 7

8 0
2 years ago
At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the avera
blondinia [14]
ANSWER

Average \: Weight =  7 \frac{1}{8}  \: bushels


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


Average \: Weight =  \frac{8 \frac{1}{4}  + 6 \frac{1}{2} + 6 \frac{5}{8}  }{3}


We convert all the mixed numbers to improper fraction to obtain,


Average \: Weight =  \frac{ \frac{33}{4}  +  \frac{13}{2} + \frac{53}{8}  }{3}


The least common denominator for the fractions in the numerator is 8.


This implies that,

Average \: Weight =  \frac{ \frac{66 + 52 + 53}{8} }{3}

This simplifies to


Average \: Weight =  \frac{ \frac{171}{8} }{3}


This gives us,

Average \: Weight =   \frac{171}{24}



Average \: Weight =   \frac{57}{8}


Average \: Weight =  7 \frac{1}{8}

7 0
3 years ago
the diagram shows the layout of the West End East wings of an art gallery find the area of The West Wing
Reil [10]
A.62 square feet

Btw I know you from A+ Academy
4 0
3 years ago
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