Question 3(Multiple Choice Worth 2 points)
(Order of Operations with Radicals LC)

Simplify the expression.

20(6) − 7

113
20
−20
−113

Answer:

28

Step-by-step explanation:

[tex]4(3)^{2}+2(-5)-(-2)=36-10+2= 28[/tex]

Hope this helps

Using translation concepts, the image of the kite after the reflection over the line y = x is given on the graph at the end of the answer.

Transformations in the graph of a function involve operations such as multiplication/division or sum/subtraction, either in the domain of the function, involving values of x, or the range, involving values of y.

Examples of transformations are as follows:

The rule for a reflection over the line y = x is given by:

(x,y) -> (y,x).

The vertices of the kite are given as follows:

S(-6,5), R(-5,6), P(-5,4), Q(1,5).

After the reflection, the vertices of the image are given as follows:

S'(5,-6), R'(6,-5), P'(4,-5), Q'(5,1).

The image of the kite after the reflection over the line y = x is given on the graph at the end of the answer, with the vertices labeled.

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Answer:

[tex]3^{x-6}[/tex]

I cannot make out from the answer choices which correspond to this, the formatting is all gone but this is the answer. Choose the correct option from the original question which has formatting.

See graph for visual proof

Step-by-step explanation:

Translation of a graph on the x-axis by a units means moving the graph left or right by a units

When you translate a function f(x) by a units to the right, the translated function becomes f(x - a)

Original function is f(x) = 3ˣ
When you translate the graph by 6 units to the right, the translated graph is [tex]g(x) = f(x-6) = 3^{x-6}[/tex]

Answer:

3012.00

Step-by-step explanation:

Assuming the median salary is 50200, multiply this by 6%.

Answer:

$3,012.00

Step-by-step explanation:

Convert 6% into a decimal and multiply

$50,200.00 x 0.06 = $3,012.00

1. 64,000

2. 530,000

3. 160,000

4. 580,000

Answer:

kkkkkkkkkkkk

Step-by-step explanation:

Answer:

X = .35 (80.99)

Step-by-step explanation:

To find the new amount of something after a discount is applied, you would need to take the discount and turn it into a decimal, if it hadn't been already. Then, you multiply it by the initial amount to get your answer.

Hope this helps! :)

The side of the equilateral triangle is 14inches.

Let the side of the square be denoted as x inches

The formula for the perimeter of equilateral triangle is  

                           [tex]P_{t}[/tex] = 3a where a is the side of the triangle.

The formula for the perimeter of the square is

                           [tex]P_{s}[/tex] = 4x where x is the side of the square

We have been given that,

               [tex]P_{t} = 10 + P_{s}[/tex]      (1)

        and  a = 6 + x inches       (2)

Equation (1) can be written as

                  3a = 10 + 4x

From equation (2) ,

                  3( 6+x) = 10 + 4x

                  18 + 3x = 10 + 4x

                       x = 8

Substituting the value of x in equation (2) we get

                          a = 6+8

                           a = 14 inches

Hence the side of the triangle is 14 inches.

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Answer:

29-p

Step-by-step explanation:

The answer is "29-p" because if the sum is 29 and we know that one number is p, then the remainder would be "29-p".

Hope this helped! :)

Answer:

133,400

Step-by-step explanation:

Answer:

133.36?

Step-by-step explanation:

Answer:

X= -7/5 - 7y/5 - 2z/5

X= 5/9 - 7y/9 - 2z/9

X= -1 + 7y^5z/2

Y= -1 - 5x/7 - 2z/7

Y= 5/7 - 9x/7 - 2z/7

Y= (square root symbol is the line--->) ^5 |4802z^4(x+1)/7z

Z= -7/2 - 5x/2 - 7y/2

Z= 5/2 - 9x/2 - 7y/2

Z= 2/7y^5 + 2x/7y^5

Step-by-step explanation:

I hope this makes sense.

Answer:

Step-by-step explanation:

Because in your previous question the scale factor was 1:30 you would simply multiple 5 by 30 to get 150 inches

Answer: Add 1, then add 2, then add 3, then add 4, then add 5!

The square picture whose area is 9 square is 3 inch long.

Square is a flat shape with four equal sides and four right angles (90°). A square is an unique sort of rectangle.

Area of Square is the total number of unit squares forming a square is referred to as the square's area. In other terms, it is described as the area that the square occupies.

It is given that,

The area of a square = 9 square inches

We need to find,

The side length of the given square

Also, we know that,

Area of square = [tex]a^{2}[/tex]

Putting values in the formula

We get,

9 =      [tex]a^{2}[/tex]

a = [tex]\sqrt{9}[/tex]

a = 3 inch

Hence, the side length of the given square picture whose area is 9 square inches is 3 inch

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Using proportions, it is found that the federal income tax withheld each week is given by $24.69.

The rates for a married person are given as follows:

Additionally, we have that:

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Removing the allowances, the taxable amount is:

390.50 - 2 x 63.46 = $263.58.

Hence, applying the rates, the withheld amount is given by:

14.40 + 0.15(263.58 - 195) = $29.69.

The federal income tax withheld each week is given by $24.69.

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Answer:

68

Step-by-step explanation:

2+6(11)

2+66

68

Hope this helps!

Since these angles are a pair of exterior alternate angles, then they are supplementary and add up to 180°

[tex](3x + 2) + (2x + 23) = 180 \\ 3x + 2 + 2x + 23 = 180 \\ 5x = 180 - 23 - 2 \\ 5x = 180 - 25 \\ 5x = 155 \\ x = \frac{155}{5} = 31[/tex]

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

Answer:

Step-by-step explanation:

Answer: 1. 7:10

2. 10 blue cans

15 yellow cans.

3. 4 cans of blue paint.

5 cans of yellow paint.

4. 2 blue cans and 3 yellow cans.

Step-by-step explanation:

1. 14 blue paint cans/20 yellow paint cans=

14/20=

7/10 ==> 7:10

2. 4+6 blue cans=10 blue cans

6+9 yellow cans=15 yellow cans.

3. 14-10=4 cans of blue paint.

20-15=5 cans of yellow paint.

4. 10 blue cans/15 yellow cans=

10/15=

2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.

The net change in price of the stock is $1

The given parameters are

Monday = $7 rise

Tuesday = $8 drop

Wednesday = $2 rise

The net change in price of the stock is calculated as

Net change = Monday + Tuesday + Wednesday

Where

Rise = +

Drop = -

So, we have

Net change = 7 - 8 + 2

Evaluate

Net change = 1

Hence, the net change in price of the stock is $1

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Answer:

-225

Step-by-step explanation:

-30(7)-15

-210-15

-225

According to the given statement;

a sloth go 600 units in 90 minutes

A fraction is used to denote a piece or component of a whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, while the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

According to the given values;

A sloth may move in one hour = 250÷5/8.

let us simplify 250÷5/8 first.

Division sign can be convert into multiplication sign and flip the right side fraction 5/8 to 8/5.

250×8/5

Dividing 250 by 5, we get

= 50 × 8

Multiplying 50 and 8,  we get

= 400.

So, we could say, a sloth may move in one hour = 400 units.

We need to find distance covered in 90 minutes.

Let us convert 90 minutes into hours.

60 minute = 1 hour.

1 minute = 1/60 th of an hour.

and 90 minutes = 90 * 1/60 = 90/60 = 9/6 = 1.5 hours.

a Sloth may move in one hour = 400 units.

Therefore, in 1.5 hours Sloth can move = 1.5 × 400 = 600 units.

So, a sloth go 600 units in 90 minutes

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Answer:

x = 3°

z = 117°

Step-by-step explanation:

Linear pair: If the non-common arm of two adjacent angles form a line, then they are called linear pair and they add up to 180.

Vertically opposite angles are equal.

       5x + 48 = 63

Subtract 48 from both sides,

               5x = 63 - 48

               5x = 15

Divide both sides by 5

               x = 15÷ 5

               [tex]\sf \boxed{\bf x = 3}[/tex]

z + 63 = 180   {Linear pair}

      z  = 180 - 63

       [tex]\boxed{\bf z = 117}[/tex]

Answer:

i.24

Ii.48

Step-by-step explanation:

if Gokul gets 6 correct and each answer is 4 marks it becomes

4×6=24

and same for neena

12×4=48

The number of the system equations are: 8 and 27.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the  intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

First, you should convert the text of the question in the math expression. Then,

x+y= 35  (1)

x+4y=116 (2)

After that, you should multiply equation(2) by -1. Thus,

x+y= 35  (1)

-x-4y= - 116 (2)

Now, when you sum equations 1 and 2, you  eliminate x . Thus, from this sum, you will have:

-3y=-81

3y=81

y=81/3

y=27

From equation (1), you can find x.

x+y=35

x+27=35

x=35-27

x=8

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Answer:

Step-by-step explanation:

You want to use rounding and approximation to compute the hourly wage of a person working 40 hours per week and making $71,600 per year. You also want a reasonableness check compared to the actual answer.

Rounding the $71,600 salary to the nearest $10,000, it becomes $70,000. Considering 50 weeks per year and 40 hours per week, the number of hours in a year is approximated by 40×50 = 2000. Then the hourly wage is approximately ...

  $70,000/(2000 h) = $35/h . . . . estimated wage

If we assume exactly 52 weeks in a year, there are 40×52 = 2080 working hours in a year. That means the hourly wage is actually ...

  $71,600/(2080 h) ≈ $34.42 . . . . actual hourly wage

The difference of the estimate from the actual value is ...

  $34.42 -35.00 = -$0.58

That is the actual value is between 1% and 2% lower than the estimate, a quite reasonable error. (Often anything within 10% is a reasonable estimate.)

__

Additional comment

Often, when doing estimates, you want to estimate the error in your estimating process. Here, there are two contributors.

Rounding 71,600 down to 70,000 reduces the value by a factor of 700/716, or 175/179. That means the error will be about 4 parts in 180 (an estimate), or 1 part in 45, about 2.2% (low).

Rounding 52 weeks per year down to 50 increases the value by a factor of 52/50 = 1.04, causing the estimated value to be about 4% high. These two errors are in opposite directions, so the net effect is an estimated error of about 4% -2.2% = 1.8% (high).

The error estimate has errors of its own, but this gets you in the ballpark of approximate error in the estimated value.

A year of 365 days is 52 weeks plus one day, so can be 2088 working hours. Using this value for hours reduces the hourly wage to about $34.29.

Using the z-distribution, it is found that since the test statistic is less than the critical value, there is not enough evidence that the manufacturer needs to recalibrate the machines.

At the null hypothesis, it is tested if the machine is calibrated correctly, that is, the mean is of 4 cm, hence:

[tex]H_0: \mu = 4[/tex]

At the alternative hypothesis, it is tested if the machine is not calibrated correctly, that is, the mean is different of 4 cm, hence:

[tex]H_1: \mu \neq 4[/tex]

The test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]\overline{x} = 3.97, \mu = 4, \sigma = 0.14, n = 81[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.97 - 4}{\frac{0.14}{\sqrt{81}}}[/tex]

z = -1.93.

We have a two-tailed test, as we are testing if the mean is different of a value, with a significance value of 0.01, hence, using a z-distribution calculator, the critical value is given by:

|z| = 2.575 -> z < -2.575 or z > 2.575.

Hence:

Since the test statistic is less than the critical value, there is not enough evidence that the manufacturer needs to recalibrate the machines.

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The diameter of the burger on the billboard will be  8 foot.

The burger on the billboard will be larger in size when compared with the actual burger. A scale would be needed to help determine how large in relation to the actual burger the burger on the billboard should be.

In order to determine the diameter of the burger on the billboard, divide the diameter of the actual burger by the scale that would be used.

Diameter of the burger on the billboard = 4 1/2 ÷ 9/16

9/2 ÷ 9/16

9/2 x 16 / 9 = 8 foot

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