2. The box and whisker plot below shows the starting salaries for 120 graduates of a small college.
a) What is the range of the starting salaries?
b) About 30 graduates make below what amount?
c) How many graduates have a salary above $33,000 ?
d) $25 of the graduates make above what amount?

\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ \stackrel{ \textit{we'll use this one} }{log_a a^x = x}\qquad \qquad a^{log_a (x)}=x \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)+4\implies \log_2\left( \cfrac{1}{2^4} \right)+4\implies \log_2(2^{-4})+4\implies -4+4\implies \text{\LARGE 0}\)

\(\rule{34em}{0.25pt}\\\\ \textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b\qquad\qquad \\\\[-0.35em] ~\dotfill\\\\ \log_2\left( \cfrac{1}{16} \right)=y\implies 2^y=\cfrac{1}{16}\implies 2^y=2^{-4}\implies y=-4\)

17.29162

\(\sqrt{18^2-5^2}\)

__________________________________________

\(17.29162\)

I hope this helps you

:)

Answer:

D. Find the x- and y-intercepts and then graph

Step-by-step explanation:

9514 1404 393

Answer:

  (c)  {0, 1, 2, 3}

Step-by-step explanation:

The only Whole number that is not a Natural number is 0. Here, it works well to look for the set containing 0.

__

Whole numbers are non-negative integers. Irrational numbers, fractions, negative numbers, and complex numbers (roots of negative numbers) will not be whole numbers.

Whole, but not Natural:

  {0, 1, 2, 3}

The another example that supports Hilary's conjecture are, 26² - 21²

In mathematics, subtraction is an operation which means taking away a few portions of the group or few things from a whole part.

For example, if we take 4 pencils out of 10 then remaining pencils are 6

so this process is called subtraction.

Given that,

Hilary was examining the differences between perfect squares of numbers separated by 5.
The differences always have the digit 5 in the ones place.

Another example that supports Hilary's conjecture is:

= 26² - 21²

= 676 - 441

= 235

As we can see, the difference between the perfect squares of 26 and 21 is 235,

which ends in the digit 5 in the ones place, confirming Hilary's conjecture that the differences between perfect squares of numbers separated by 5 always have the digit 5 in the ones place.

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The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

B. 65 MPH

Step-by-step explanation:

Each hour, the distance increased by 65 miles.

Answer:

65 mph

Step-by-step explanation:

Find a point on the graph where it perfectly intersects with the grid lines. This is (4,260), so in order to get that to one hour divide by 4, so 260 divided by 4 is 65.

Answer:

-17

Step-by-step explanation:

–3(y + 2)2 – 5 + 6y

(–3y -6)2 – 5 + 6y

-6y -12 - 5 + 6y

-17

Answer:

105

Step-by-step explanation:

You would multiply 7 by 15 to get 105 oz.

Answer:

the answer for the one below 15 is 105

Step-by-step explanation:

since all the problems are related to 7 (1 x 7, 7 x 10)  you would do 15x7, which gives you 105.

Plz give brainliest if correct :-)

Answer:

\(\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]\)

Step-by-step explanation:

\(\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]\)

Answer:

Part A: \(f(x) = 15(x+2)^2-79\)

Part B: \((-2, -79)\)

Step-by-step explanation:

Have a great rest of your day

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36.

Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36

Multiples of 6 6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

But the first two common multiples of 3, 4, and 6 are,

3: 6, 9

4 : 8,12

6 : 12, 18

Answer:

12 and 24

Step-by-step explanation:

Answer:

Test Results indicate that a woman is not pregnant when she is.

Test Results indicate that a woman is pregnant when she is not

We can write the absolute value inequality in the form |x−b| < c: |x−6| < 1

What is inequalities?

In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal. It is a statement that compares two values, usually using one of the following symbols: "<" (less than), ">" (greater than), "≤" (less than or equal to), or "≥" (greater than or equal to).

The solution set 5 < x < 7 can be rewritten as:

x > 5 (since x must be greater than 5)

x < 7 (since x must be less than 7)

To put this in the form |x−b| < c, we first find the midpoint between 5 and 7:

b = (5+7)/2 = 6

Then, we find the distance between b and either endpoint:

c = |7-6| = 1 (or |5-6| = 1)

Finally, we can write the absolute value inequality in the form |x−b| < c:

|x−6| < 1.

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Adam's income is 16.67% less than Pat's income.

Let's assume Adam's income is $100

Then Pat's income is 20% more than Adam's income, which means Pat's income is:

                 $100 + $20 = $120

Now, we need to find out how much percent Adam's income is less than Pat's income. We can use the following formula to calculate the percentage decrease:

Percentage decrease = (Decrease in value / Original value) x 100

Decrease in value is the difference between Pat's income and Adam's income, which is:

                            $120 - $100 = $20

The original value is Pat's income, which is $120

So, the percentage decrease in Adam's income compared to Pat's is:

(20 ÷ 120) × 100

= 0.16666 × 100

= 16.666%

= 16.67% (approx)

Therefore, Adam's income is 16.67% less than Pat's income.

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Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Answer:

There are 2.2 fans per employee.

Step-by-step explanation:

19812/8900 = 2.2 Rounded.

Helping in the name of Jesus.

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:

2/15

Step-by-step explanation:

A percent is a number given out of 100

13 1/3% basically is 13 1/3 | 100

You divide and you get 40/3 x 1/100

Simplify by 20 = 40/300 simplify again and you get 2/15.

For this problem, we are given the numbers 27 and 12, and we need to determine the greatest common factor between them.

The first step to solving this issue is to break each number into factors as shown below:

We need to take the factors that appear on both numbers at the same time:

The greatest common factor between 27 and 12 is 3.

Now we need to use the GCF to factor the operation 27-12. For that, we need to divide each number by the GCF:

Now we have to multiply the GCF by the subtraction of the numbers above:

The result is 27-12=3x(9-4).

Answer:

Step-by-step explanation:

Part A: The expression for (f+g)(x) would be (4x+x) + (8+5)=5x+13.Since you are adding like terms to create an expression.

Part B: f(3)+g(3) witch would be the same as (4x3+8)+(3+5)

(12+8)+(3+5) then add it together. 12x+8=20 and 3+5=8. 20+8=28.

Thus your answer is 28.

Answer:

A. down

Step-by-step explanation:

The parent graph is

f(x)=x

If this graph is transformed to obtain

g(x)=f(x)−4

The subtracttion means the graph will shift downward vertically

The graph of g(x) is obtained by shifting f(x) down by 4 unit.

Therefore the direction is down.

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Answer:

x-40%-16%

Step-by-step explanation: