calculate the sizes of angles marked with letters in the following diagrams, giving reasons for your answers
​

f(2) = -4

Step-by-step explanation:

f(2) = 3^2-13

f(2) = 9-13

f(2) = -4

The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:

$17.

The net income is calculated as the subtraction of the total income by the expenses.

In the context of this problem, the expenses are given as follows:

Hence the expression for the net income is given as follows:

110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000

93250 - 3120x = 40000

3120x = 53250

x = 53250/3120

x = $17 an hour.

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The discount rate used in calculator wound be 4.56%.

Given that,

You anticipate getting a bonus of $10000 after five years on the job.

We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.

We know that to find the present value of a future sum of money .

PV= FV/(1+r)ⁿ

Here,

PV is present value = $8000

FV is future value = $10000

r is discount rate we have to find

n is time = 5 years

Substitute in the formula,

$8000=$10000/(1+r)⁵

(1+r)⁵=$10000/$8000

(1+r)⁵=1.25

1+r=[tex]1.25^{1/5}[/tex]

1+r=1.0456

r=1.0456-1

r=0.0456

r=4.56%

Therefore, The discount rate used in calculator wound be 4.56%.

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The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))= -38

Given that,

All real numbers x are defined by the functions r and s.

r(x) =2x+1

s(x) =-2x²-2

We have to find the expression

r( s(-3))

Take the functions,

r(x) =2x+1

s(x) =-2x²-2

Now, Take

r( s(-3))

Substitute s function first

r(-2(-3)²-2)

r(-2(9)-2)

r(-18-2)

r(-20)

Now substitute r function

2(-20)+2

-40+2

-38

Therefore, The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))=-38

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Answer:

Step-by-step explanation:

540x0.30=378

378x0.08=30.24

378+30.24=408.24

Answer:

Step-by-step explanation:

so what is the difference from 1/4 to 5/8 ?   is the question

2/8=1/4

5/8-2/8 = 3/8

9 gallons of fuel fill 3/8 of the tank

since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3

then multiply 3 gallons by the 8 parts for the whole tank

3*8=24 gallons.

Than tank can hold 24 gallons

The sales price of the yoga pants is $20.

It should be noted that from the information illustrated, the Yoga pants are on sale for 1/3 off the original price and a pair of yoga pants normally costs $60.

The sales price will be:

= Fraction given × Original price

= 1/3 × $60

= $20

The price is $20.

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Answer:

10

Step-by-step explanation:

Round 492 to 500, then estimate 500/50

The simplest form of fraction (1/4)/5 is 1/20.

A quotient is the simplest  or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,

quotient=dividend/divisor

The simplest form for fraction (1/4)/5,

(1/4)/5=1/(4×5)

         = 1/20

So, the simplest form of (1/4)/5 is 1/20.

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The liters of synthetic oil that are needed is 456 liters.

From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.

To make 836 liters of oil, the liters of synthetic oil will be:

= 6 / (6+5) × 836

= 6/11 × 836

= 456

Therefore, 456 liters are needed.

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Answer:

I hope that the picture below helps.

Step-by-step explanation:

It will take the word processor 165 minutes to check 22 pages

The given parameters in the question are:

Speed = 30 minuter per 4 pages

Number of pages = 22 pages

The number of hours to check the pages can be calculated using the following equation

Time = Speed * Number of pages

Substitute the known values in the above equation So, we have the following equation

Time = 30/4 * 22

There is no unit to convert

So, we have

Time = 30/4 * 22

Evaluate

Time = 165

Hence, the time is 165 minutes

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Slope: -1/9

Y-Intercept: 2

Answer:

Step-by-step explanation:

The slope of the linear function that models this situation is given as follows:

m = 0.25.

The slope-intercept representation of a linear function is given as follows:

y = mx + b

Hence the coefficients of the function and their meaning are obtained as follows:

In this problem, these parameters are defined as follows:

Hence the linear function modelling the situation is:

y = 8 + 0.25x.

The problem asks for what is the slope of this situation.

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Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

mark the person above me as brainliest

Supoose a<1 compared to the parent function then parabola is wider than the parent function.

An equation is an expression that shows the relationship between two or more numbers and variables.

Direction the parabola opens the value of p as positive, the parabola opens up.

The focus and vertex both have the same x position, so the distance would be in terms of the y-coordinates only.

Supoose a<1 compared to the parent function then parabola is wider than the parent function

If "a" is a fraction less than one, therefore the parabola becomes wider.

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Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

Answer:

a>11
[tex]a\leq 8[/tex]

Step-by-step explanation:

a+3>14
 -3.  -3

   a>11
a-5<=3

 +5. +5

  a<=8

Hopes this helps please mark brainliest

The Mathematical Final Answer:

0

Answer:

The equation in standard form of the line y=1/9x+5 is y-5=1/9(x-0)

Answer:

because u can't predict the days rain will fall so u can say it will fall in ratio 0:4

The equation of the line in slope-intercept form is y = 5x-22.

The slope-intercept form of a straight line is one of the most common forms used to represent the equation of a line.

The slope-intercept form of an equation is given as

Formula:

Where:

Substitute these values into equation 1

Hence, the equation in slope-intercept form is y = 5x-22.

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The weight of one package beef is 8.26kg

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

For example, if 10 students are to share 100 oranges, if they are to share it equal, then each students will receive 100/10= 10 oranges

Similarly 132.16kg was placed into 16packages of equal weight.

Therefore the weight of each package beef will be 132.16/16= 8.26kg

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Answer: 29, 36, 38

Step-by-step explanation:

The sequence starts with 2 and proceeds to go to 9, which is a difference of 7.

After 9 it is 11, and the difference is 2.

After 11 it is 18 which is a difference of 7 again.

The pattern is difference of 7, difference of 2.

Since there was a difference of 7 between 20 and 27, the next difference will be 2, which is 29.

So, the pattern is +2, +7, +2 . . .

Therefore, your next three numbers will be 29, 36, 38

The cost of the labor per hour is $ 45

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total cost of the parts is = $ 141

The total number of hours worked by the technician = 4.25 hours

The total cost of repair = $ 332.25

Let the cost of the labor be = y

The total cost of labor =
Cost of the labor per hour x Number of hours worked by the technician

The total cost of labor = 4.25y

Now ,

The total cost of repairing the computer =
Total cost of labor  + Total cost of the parts

The total cost of repairing the computer = 141 + 4.25y

332.25 = 141 + 4.25y

Subtracting 141 on both sides , we get

4.25 y = 191.25

Divide by 4.25 on both sides , we get

y = $ 45

Therefore cost of labor per hour y = $ 45

Hence , the total cost of labor per hour is $ 45

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Answer: h = 46.25

Step-by-step explanation:

You can use the formula below to calculate the value of its interior angle:

       [tex]\frac{(n-2)*180}{n} =\frac{(18-2)*180}{18} =\frac{16*180}{18} =160[/tex]

So, each one of its interior angles is equal to 160°. Set that equal to the given angle measure and solve:

[tex]160=4h-25\\\\4h=160+25=185\\\\h=46.25[/tex]

The passenger train traveling at 30 mi/hr faster than the freight train and traveling 3 times the distance traveled by the freight train, through the kinematic equations, indicates that the speed of the freight train is 15 mi/hr and the speed of the passenger train is 45 mi/hr.

Kinematics is the study of the motion of an object without reference to the force that causes the motion.

The speed of the passenger train = 30 + The speed of the freight train

Distance traveled by the passenger train in 6 hours = 3 × The distance traveled by the freight train

Let v represent the speed of the freight train and let d represent the distance traveled by the freight train in 6 hours

From kinematic equations, we get;

Speed of the passenger train = 30 + v

Distance traveled by the passenger train in 6 hours = 3 × d

(30 + v) × 6 = 3•d

6•v = d

Which gives; (30 + v) × 6 = 3 × 6•v

180 + 6•v = 18•v

12•v = 180

v = 180 ÷ 12 = 15

The speed of the freight train is v = 15 mi/hr

The speed of the passenger train = 30 + v

The speed of the passenger train is (30 + 15) mi/hr = 45 mi/hr

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Answer: $267,273

Step-by-step explanation:

$197,980 × 0.35 (35%) = $69,293

$197,980 + $69,293 = $267,273

Jessica now makes $267,273 annually.