Noel is a computer repairman. To fix a computer, he charges a customer $40 per hour, plus a fixed fee of $15 for the service call, as represented by the function f(x) = 40x + 15. In the equation, what is represented by the variable x?​

Answer:

r >3

Step-by-step explanation:

1 + 3r > 10

Subtract 1 from each side

1-1 + 3r > 10-1

3r > 9

Divide by 3

3r/3 > 9/3

r >3

Answer:

  7) 28.27 cm²

  8) 63.62 ft²

  9) 113.10 in²

Step-by-step explanation:

You want the areas of the circles with the given diameters.

The area formula for a circle is usually written in terms of the radius of the circle. Since the diameter is given, we can rewrite the formula to make use of the diameter:

  A = πr²

  A = π(d/2)² . . . . . . . use d/2 for r

  A = (π/4)d² . . . . . . . collect constants

7) Diameter = 6 cm; Area = (π/4)(6 cm)² = 9π cm² ≈ 28.27 cm²

8) Diameter = 9 ft; Area = (π/4)(9 ft)² = 20.25π ft² ≈ 63.62 ft²

9) Diameter = 12 in; Area = (π/4)(12 in)² = 36π in² ≈ 113.10 in²

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Answer:

$13,000

Step-by-step explanation:

Given:

Seema bought a refrigerator for {14300 including a GST of 10%.

To FInd:

The price of the refrigerator before GST was added is

Solve:

[tex]\\[/tex]100/100+10×14300

=100/110×14300

=$13,000

Hence, The price of the refrigerator before GST was added is $13,000.

~Learn with Lenvy~

Answer: it’s $305,000

Step-by-step explanation:

correct on ED2022

Answer:

B

Step-by-step explanation:

I just got it right

Answer:

b=8.9m

Step-by-step explanation:

you would need to use Pythagoras theorem

a²+b²=c²

as we know c=9m and a=1.5m we need to find b so you would have to rearrange the equation

b²=c²-a²

b²=9²-1.5²

b²=81-2.25

b²=78.75

b=√78.75

b= 8.9m (1DP)

Answer:

12.5%

Step-by-step explanation:

40000-35000=5000

5000/40000*100=12.5%

the answer to this question is is 12.5%.

Answer:

-4

Step-by-step explanation:

Answer:

1 gallon every 6 days

Step-by-step explanation:

To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.

Answer:

- 20/21

Step-by-step explanation:

Calculate the product

5/6 x (-8/7)

Multiplying a positive and a negative equals a negative

(+)x(-)=(-)

-5/6 x 8/7

Reduce the number with the greatest common factor 2

-5/3 x 4/7

Multiply the fractions

-20/21

Solution

-20/21

Alternate form

- 0.952380

Answer

Simplify the expression.

Exact Form:

−20/21

Decimal Form:

−0.952380

Step-by-step explanation:Please mark as brainliest!

I'm not sure if I'm right on this though

Answer:

Average rate of change = -4

Step-by-step explanation:

Given:

f(x) = x² + 7x + 10

-8 ≤ x ≤ -3 or [-8, -3] in interval notation

Average rate of change of the function can be solved using the formula:

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]

Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]

You always have to mutiply the week number by 1.5 to see how many pounds the dog has lost. For example, week 1 = 1*1.5 = 1.5 pounds lost in the first week. You can also divide the pound by 1.5 to get the week number which is what I will be doing. 58 - 40 = 18 pounds minimum to be healthy. 18/1.5 = 12. That means if Jasmin's dog is dieting properly for 12 weeks, she will be healty.    

If she diets more, she will still be healty because you need 40 or less pounds to be healty.

This sentance is extra but why are 0 pounds healthy?

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124

Caution:-

Calculated approximate values as we can't use ruler in screen !

As

#1

Sides are

Perimeter=20in=20(8)=160ft

#2

Perimeter=2(2+1.5)=2(3.5)=7in=7(8)=56ft

#3

Width:-

Answer:

10/21

It cant be broken down anymore so it is simplified!

Have a great day!!

Please rate and mark brainliest!!

Answer:

nonlinear

Step-by-step explanation:

[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]

A radian is denoted by rad and it's the standard unit that is used for the measurement of angles.

Your information is incomplete. Therefore, an overview of radians will be given. Radian is the standard unit for angular measurement.

A radian is a unit of measure for angles which is based on the radius of circles. The formula used for radians is simply put as:

= (Degrees × π) / 180°

For example 60° will be:

= (60° × π) / 180°

= π/3

Therefore, 60° converted to radians is π/3.

Learn more about radian on:

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The annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.

The formula for the simple interest can be given as,

[tex]I=\dfrac{PRT}{100}[/tex]

Here, (I) is the interest amount on the principal amount of (P) with the rate of (r) in the time period of (t).

Xavier opened a savings account with a deposit of $12,000. At the end of 3 years, the account balance was $12,324.

The principal amount is $12000 and the total amount is $12324. Thus, the interest earned by the Xavier is,

[tex]I=12324-12000\\I=324[/tex]

Total time period is 3 years and the account earned simple interest. Thus, put these values in the above formula as,

[tex]324=\dfrac{(12000)R(3)}{100}\\R=\dfrac{32400}{12000\times3}\\R=9\%[/tex]

Hence, the annual interest rate on the saving account of Xavier which is earned simple interest is 9%.

Learn more about the simple interest here;

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Answer:

X=20

24-x=24-20=4

Step-by-step explanation:

First number (greater number)= X=20

Second number = 24-x =24-20=4

Answer:

  1/5³ = 1/125 = 5⁻³

Step-by-step explanation:

It can be useful to remember that an exponent signifies repeated multiplication.

  5^3 = 5×5×5

  5^6 = 5×5×5×5×5×5

Then the ratio is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5\times5\times5}{5\times5\times5\times5\times5\times5}=\dfrac{1}{5\times5\times5}=\boxed{\dfrac{1}{125}}[/tex]

__

If you want to leave this in terms of exponents, you can see that factors in the denominator cancel (subtract from) those in the numerator. That is ...

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-3}}{5^{6-3}}=\dfrac{5^0}{5^3}=\boxed{\dfrac{1}{5^3}}[/tex]

The same sort of exponent arithmetic works to leave a numerator value with a negative exponent:

  [tex]\dfrac{5^3}{5^6}=\dfrac{5^{3-6}}{5^{6-6}}=\dfrac{5^{-3}}{5^0}=\dfrac{5^{-3}}{1}=\boxed{5^{-3}}[/tex]

_____

Additional comment

These ideas are formulated as the rules of exponents:

Answer:

m= [tex]-\frac{1}{3}[/tex]

Explanation:

Formula is Y=mx+b

m equals the slope (rise/run each point).

x stays for an ongoing function.

b is the y intersect(You'll see that the line crossed +4 on the vertical line).

Looking at the line from left to right, it starts from the top to the bottom instead of button to top. If this slope goes down, it is negative.

[tex]y=-\frac{1}{3}x+4[/tex]

That is why [tex]m=-\frac{1}{3}[/tex] instead of [tex]m=\frac{1}{3}[/tex]

Answer:

Associative Property of Multiplication

Step-by-step explanation:

Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.

Answer:

[tex]144 \times \pi = 452.38[/tex]

Answer:

144π ft² or approximately 452.16 ft²

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 12 feet. For pi, we can solve area in terms of pi or approximate pi to 3.14.

Approximation of Pi:

In terms of Pi:

Answer:

Total = m + j

= 3 + m + 21

Step-by-step explanation:

Mails = 3 miles

Jared = 3 miles + 21 miles

j = m + 21

m = 3

Total = m + j

= 3 + m + 21

Where,

m = 3

Total = 3 + m + 21

= 3 + 3 + 21

= 27

The mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Mean is the ratio of sum of the observations to the total number of observations.

Median is such a number for the arranged data set(ascending or descending order) such that to its left and to its right belong same number of observations.

For the given case, the data observations are:

3.25, 3.25, 3.66, 3.83, 4.57, 4.52, 4.74, 4.69, 4.44 (they are measurement of pounds of trash for specified years(in the problem statement) )

They are total 9 observations.

Their sum is 36.95 approx.

Thus, mean of this data set = sum/number of observations [tex]\approx 36.95/9 \approx 4.1[/tex]

Arranging the data in ascending order gives

3.25, 3.25, 3.66, 3.83, 4.44, 4.52, 4.57, 4.69, 4.74

There are 9 values, therefore, the fifth value would be median as to its left and to its right will lie four-four observations.

Thus, median of the data set = 4.44

Therefore, the mean and median of the data(weight of trash in pounds for given years) given in the table is evaluated as:

Learn more about mean and median here:

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Answer:

9) 5.8

10) 27.9

11) 37.1

12) 16.8

Step-by-step explanation:

For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).

For 9, you have one side 15 and one angle 21 degrees.  We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"

We then evaluate tan21=x/15.

1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.

2) Use a calculator to get the answer 5.8 (5.7579..)

For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"

We then evaluate cos47=19/x.

1) To get rid of the fraction multiply x on both sides to get x*cos47=19.

2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21

3) Use a calculator to get the answer 27.9 (27.8593...)

For 11, refer to how I did question 9 on how it's tan68 = 15/x.

Then refer to question 10 on what to do if x is the denominator (isolate the x).

You should end up with x=15/tan68 which is 37.1 (37.1263...)

Finally for 12, it's the same but for sine (sin=opp/hyp).

You should get that the opp=15 and hypo=x.

That means sin63=15/x which is then x=15/sin63

Answer is 16.8 (16.834...)

Answer:

free points or nah if not its A

Answer:

x=12

Step-by-step explanation:

AB/FE=BC/EC

x/6= 5+5/5

x/6=10/5

x=6(2)

x=12

~

Answer:

The formula for circumference of s circle is pi x diameter.

If the circumference is 28 we can divide it by pi to get the Diameter.

28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)

The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)