a) how many 15-year old students took part in the survey?

Answer:

x = 5 or -1

We reject the second answer of x = -1

This is because upon substituting, it will give a negative number which the logarithm value of a negative number is not obtainable

So our only correct answer here is x = 5

Step-by-step explanation:

From the logarithmic rules;

log a - log b = log (a/b)

Applying this here, we have;

log4(x^2-4/4x+ 1) = 0

(x^2-4)/(4x+ 1) = 4^0

(x^2-4)/(4x + 1) = 1

x^2 -4 = 1(4x + 1)

x^2 -4 = 4x + 1

x^2 - 4x -4-1 = 0

x^2 -4x -5 = 0

x^2+ x -5x -5 = 0

x(x + 1) -5(x + 1) = 0

(x-5)(x + 1) = 0

x = 5 or -1

Answer:

For every 5 blonde teachers there are 3 brown teachers.

Step-by-step explanation:

Here we have to find the ratio of blonde teachers to brown teachers

Blonde : Brown

20: 12

10:6

5:3

For every 5 blonde teachers there are 3 brown teachers.

This can be further evaluated

Blonde : Brown

5:3

dividing both sides by 5

1: 3/5

For every 1 blonde teachers there are 3/5 brown teachers. It means that the brown teachers are 2/5 less than the blonde teachers.

1-2/5= 3/5

20* 3/5= 12

Answer:

true

Step-by-step explanation:

3+3+3+3+3+3+3+3=24.

Mark me brainliest please ._.

Answer:

did u just answer ur own question

Step-by-step explanation:

Answer:

56.3408 ft

Step-by-step explanation:

Answer: the answer is 0.125 foot per square foot

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

Answer:

~50 bottles

Step-by-step explanation:

hope this helps

Answer:93

Step-by-step explanation:

Answer: Choice C) Emi evaluated (46-78)^2 as -(32)^2

Explanation:

The "46-78" is inside the parenthesis, so the result must also stay in the parenthesis. This means (46-78)^2 would become (-32)^2. The negative must be inside the parenthesis as well. Squaring the "-32" leads to a positive result, so every item being added is positive after the squaring operations are applied.

Answer:

P

(

sum

>

3

and

divisor of

24

)

=

7

18

Explanation:

Possible target sums that meet the given requirements:

XXX

{

4

,

6

,

8

,

12

}

Consider the possible die rolls that can give these sums:

sum

−−−−

xxx

first roll

−−−−−−−

second roll

−−−−−−−−−

4

1

3

2

2

3

1

6

1

5

2

4

3

3

4

2

5

1

8

2

6

3

5

4

4

5

3

6

2

12

−−

6

−

6

−

Giving a total of

14

out of a possible

36

combinations that meet the given requirements.

Step-by-step explanation:

Answer:

If the numbers next to the "x" are "carroted" ( ^ ) then the answer is

-3x^4 + 9x^3 -8x^2 -2x +12

Step-by-step explanation:

Basically, you just add the like terms together.

Answer:

-12

Step-by-step explanation:

Answer:

50 I believe

Step-by-step explanation:

Sorry if I'm wrong!

Answer:

84.78

Step-by-step explanation:

Answer:

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Step-by-step explanation:

As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.

Significance level        Two tailed Test          One tailed test

0.1                                   ± 1.645                               ±1.28

0.05                                 ±1.96                                ± 1.645

0.01                                ± 2.58                                 ±  2.33

So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Answer:  x=-1, y=7. 1st eqaution=-1+7=6, 2nd eqaution=7+-3=4

Answer:

342

Step-by-step expl\

5335=454

Answer:

-10°F, -13°F, and -21°F

Step-by-step explanation:

we are looking for a temperature that is less than -8

-10°F, -13°F, and -21°F are all less than -8

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate  = 2, which is the opposite of what we found)

Answer:

D. 22  2/3

Step-by-step explanation:

To find area you multiply length times width.

Here:

L = 5 2/3

and W = 4

So multiply 5 2/3 by 4, you get 22 2/3

Good luck! Please mark brainliest!

Answer:

[tex]2\dfrac{1}{3}\ \text{cups}[/tex]

Step-by-step explanation:

Amount of chopped onions required = [tex]3\dfrac{2}{3}\ \text{cups}[/tex]

Amount of onions Katrina has already chopped = [tex]1\dfrac{1}{3}\ \text{cups}[/tex]

Amount of onions that are required to be chopped is given by

[tex]3\dfrac{2}{3}-1\dfrac{1}{3}\\ =\dfrac{11}{3}-\dfrac{4}{3}\\ =\dfrac{7}{3}\\ =2\dfrac{1}{3}\ \text{cups}[/tex]

Hence, the amount of onions that are required to be chopped is [tex]2\dfrac{1}{3}\ \text{cups}[/tex].

Answer:

b

Step-by-step explanation:

first, group the terms with the same power together and it would become (-9n⁵-4n⁵)+(n³-9n³)+(11n+6n). then, combine the terms in each group together which would get -13n⁵-8n³+17n as the answer

Answer:

$60,000

Step-by-step explanation:

Given data

Base salary=$35000

commssion= 10%

Sales=  $250,000

Let us find the commission

=10/100* 250,000

=0.1*250,000

=25000

Hence the total income is

=25000+35000

=$60,000

Answer:

D is your answer.

Step-by-step explanation:

if you do 2 numbers to the right you get 3 and now the half would go in between 3 which would make your answer 3 and one half

Answer:

answer  (-1) because from a if u minus 2 1/2 u get (-1)

3 Black Pens, 2 Red Pens, 4 Blue Pens

Should be 6/9 but since that's not an option I'd try  D but I could be wrong I just thought I'd try an help!

If it didn't I'm sorry

or B & C if you can choose 2 answers!

Answer: (5a+1) (a+1)

Answer:

35 degrees and 50 degrees

Step-by-step explanation:

The sum of all the angles in a triangle must be 180 degrees. So 180 - 95 = 85 leftover for the other two angles. Since we have a ratio of 7:10, we can add that up to get 17 total pieces of that 85-degree angle. 85 / 17 = 5, so each piece is 5 degrees. Therefore, the other two angles are 7*5 = 35 degrees and 10*5 = 50 degrees.