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2 years ago

HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE thankkyouu

Mathematics

1 answer:

VikaD [51]2 years ago

6 0

Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

= 100 + 480

= 580

Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

The cost is the dependent variable, while the number of pounds of lettuce (x) bought is the independent variable.

So that;

f(x) = 1.69x

The cost of 10 pounds of lettuce can be determined as;

f(x) = 1.69(10)

= 16.9

Thus, the cost of 10 lb of lettuce is $16.90.

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A student determined that the area of the segment of c shown above is Asegment = 137.71 ft2. The student's work is shown below.

ivolga24 [154]

Answer:

Option D. The student did not use the correct formula to calculate the area of the segment

Step-by-step explanation:

step 1

Find the area of the isosceles triangle

Applying the law of sines

$A=\frac{1}{2}(12^{2})sin(60\°)=62.35\ ft^{2}$

step 2

Find the area of the sector

The area of the sector is 1/6 of the area of the circle

$A=\pi r^{2}/6$

substitute the value

$A=(3.14)(12)^{2}/6=75.36\ ft^{2}$

step 3

Find the area of the segment

The area of the segment is equal to the area of sector minus the area of triangle

$A=75.36\ ft^{2}-62.35\ ft^{2}=13.01\ ft^{2}$

therefore

The student did not use the correct formula to calculate the area of the segment

4 0

3 years ago

Which of the following statements are true? Select all that apply.

alexdok [17]

It is

B C D

all but A

7 0

2 years ago

Which of thw following is equivalent to tosq root of -50

eimsori [14]

i = $\sqrt{-1}$
Product rule of radicals: √ab = √a x √b

Firstly, factor out i: $i\sqrt{50}$

Next, apply the product rule of radicals here as such:

$i\sqrt{50}=i\sqrt{10\times 5}=i\sqrt{5\times 2\times 5}=5i\sqrt{2}$

<u>Your answer is 5i√2, or the second option.</u>

8 0

3 years ago

Read 2 more answers

Lucy earns money babysitting. Her earnings and hours worked represent a direct variation. She worked for 4 hours and earned $25.

SashulF [63]

For this case we have that by definition, a direct variation is given in the form:

$y = kx$

Where:

k: It is the constant of proportionality

According to the statement we have to:

$y = 25\\x = 4$

Substituting:

$25 = k4\\k = \frac {25} {4}$ $k = 6.25\ for\ \frac {dollars} {hour}$

On the other hand we have:

$y = 4\\x = 25\\4 = k25\\k = \frac {4} {25}$

$k = 0.16\ for\ \frac {hours} {dollar}$

Answer:

$k = 6.25 for \frac {dollars} {hour}\\k = 0.16 for \frac {hours} {dollar}$

7 0

3 years ago

Kayleen has been offered two jobs. The first job offers and annual salary of $32000. The second job offers an annual salary of $

xz_007 [3.2K]

Answer:

The amount of money he makes in sale to earn enough commission is $22,000 .

Step-by-step explanation:

Given as :

The salary offered for the first job = $32000 annually

The salary offered for the second job = $10,000 annually + 8% per sales commission

Now, let the number of sale make by Kayleen to earn commission to make more money at second job = n sales

Now, According to question

The salary offered for the first job = The salary offered for the second job + 8% of number of sales

Or, $32,000 = $10,000 + 8% of n

Or, $32,000 - $10,000 = $\frac{8}{100}$ ×n

Or, $22,000 = 0.08×n

∴ n = $\frac{22,000}{0.08}$

I.e n = 275,000

So, The amount of money he makes in sale to earn enough commission = 8% of n

I,e The amount of money he makes in sale to earn enough commission = 0.08×275,000

Or, The amount of money he makes in sale to earn enough commission = $22,000

Hence, The amount of money he makes in sale to earn enough commission is $22,000 . Answer

5 0

2 years ago