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3 years ago

Simplify : i attatched an image

Mathematics

2 answers:

Novosadov [1.4K]3 years ago

4 0

The answer is D. When you have an exponent in a log, you can take the exponent down:

5 * logBASE4(4)

When you have a log base to the same number as the base, it’s always 1.

5*1 is .

igor_vitrenko [27]3 years ago

3 0

For this case we have the following function:
(log4 (4 ^ 5))
Applying properties of logarithm we have:
loga (a ^ x) = x
Therefore, for this case we have:
(log4 (4 ^ 5)) = 5
Answer
The equivalent expression in this case is:
5
option D

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Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pian

finlep [7]

Answer:

30% is the correct answer.

Step-by-step explanation:

Total number of boys = 2

Total number of girls = 3

Total number of students = 5

To find:

Probability that the pianist will be a boy and the alternate will be a girl?

Solution:

Here we have to make 2 choices.

1st choice has to be boy (pianist) and 2nd choice has to be girl (alternate).

$\bold{\text{Required probability }= P(\text{boy as pianist first}) \times P(\text{girl as alternate})}$

Formula for probability of an event E is given as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

For $P(\text{boy as pianist})$ , number of favorable cases are 2 (total number of boys).

Total number of cases = Total number of students i.e. 5

So, $P(\text{boy as pianist})$ is:

$P(\text{boy as pianist}) = \dfrac{2}{5}$

For $P(\text{girl as alternate})$ , number of favorable cases are 3 (total number of girls).

Now, one boy is already chosen as pianist so Total number of cases = Total number of students left i.e. (5 - 1) = 4

$P(\text{girl as alternate}) = \dfrac{3}{4}$

So, the required probability is:

$\text{Required probability } = \dfrac{2}{5}\times \dfrac{3}{4} = \dfrac{3}{10} = \bold{30\%}$

6 0

3 years ago

A new episode of Charlie's favorite TV series will be aired 25 minutes after Charlie gets home from school. Which method should

Tresset [83]

Answer:

Charlie should use a stopwatch with minutes and seconds

Step-by-step explanation:

charlie should not count in his head as it is not accurate, he could count too fast or slow

Charlie should not look at that clock and the seconds will affect the 25 minutes, whether it be less or more

Charlie should not use an hourglass as he might flip it over too soon or quick and it's not very accurate

therefore using the stopwatch allows him to accurately and fairly keep track of the exact time

4 0

3 years ago

If the freshman class of 63 students has 11 more boys than girls, determine how many of each are in the class.g 1

torisob [31]

B + G = 63
B = G + 11

G + 11 + G = 63
2G + 11 = 63
2G = 63 - 11
2G = 52
G = 52/2
G = 26 <=== 26 girls

B = G + 11
B = 26 + 11
B = 37 <=== 37 boys

4 0

3 years ago

I feel like I’m missing something simple. Please help explain?

wariber [46]

You're dividing where you need to multiply. The intersecting chord theorem says

5(12)=7.5 x

x = 5(12)/7.5 = 8

Choice F

6 0

3 years ago

Find the equation of the line shown below...

vovangra [49]

Answer:

y = -1/4x+2

Step-by-step explanation:

We can find the slope by finding two points on the line, and doing (y1-y2) ÷ (x1-x2). The two points I chose were (0,2), and (4,1). We can plug this into the equation to get (2-1) ÷ (0-4), to get -1/4, which is our slope. We can see on the graph, that the line intersects with the y axis when the y coordinate is 2, making the y-int 2.

4 0

2 years ago

Read 2 more answers