8 ken is working this summer as part of a crew on a farm. he earned $8 per hour for the first 10 hours he worked this week. because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. ken saves 90% of his earnings from each week. what is the least number of hours he must work the rest of the week to save at least $270 for the week?

Answer:

The slope is  \(s =\) $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

   The weight of the rat is \(w_1 = 3.5 \ pound\)

     The cost of feeding the rat per week is \(c_1 =\)$4.50

     The weight of a Beagle is  \(w_2 = 30 \ pound\)

     The cost of feed a Beagle per week is  \(c_2 =\)$9.20

Now the slope can be evaluated mathematically as

           \(s = \frac{c_2 -c_1 }{w_2 -w_1 }\)

substituting values

            \(s = \frac{9.20 -4.50 }{30 -3.5 }\)

           \(s =\) $0.1774 / pounds

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

Check the explanation.

Step-by-step explanation:

As the graph of a linear function f passes through the point (-2,-10) and has a slope of 5/2.

As the slop-intercept form is given by:

\(y = mx+b\)

where m is the slope and b is the y-intercept.

substituting the values (-2, -10) and m = 5/2 in the slop-intercept form to determine y-intercept.

\(y = mx+b\)

\(-10=\frac{5}{2}\left(-2\right)+b\)

\(-\frac{5}{2}\cdot \:2+b=-10\)

\(-5+b=-10\)

\(-5+b+5=-10+5\)

\(b=-5\)

And the equation of the line in the slope-intercept form will be:

\(y = mx+b\)

putting b = -5 and slope = m = 5/2

\(y = mx+b\)

\(y=\frac{5}{2}x+\left(-5\right)\)

\(y=\frac{5}{2}x-5\)

Determining the zero of function.

As we know that the real zero of a function is the x‐intercept(s) of the graph of the function.

so let us determine the value of x (zero of function) by setting y = 0.

\(0=\frac{5}{2}x-5\)

\(\frac{5}{2}x-5=0\)

\(\frac{5}{2}x=5\)

\(5x=10\)

\(x=2\)

Therefore, the zeros of the function will be:

Answer:

7/12 miles

Step-by-step explanation:

3/4 and 1/6

find common denominator

9/12 and 2/12

subtract

7/12

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.

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Answer:

x^3 + 3x^2 + 3

Step-by-step explanation:

Since this is only addition and subtraction we can remove the parentheses and just do the math.

Answer:

x^3 + 3x^2 + 3

Step-by-step explanation:

parentheses method

Answer:

x = 5

Step-by-step explanation:

substitute the y  equation into -2x +3y =8 and you will get 5 as the solution :)

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

To solve this problem, we can use vector addition to find the final displacement of Jane.

Step 1: Determine the components of each displacement.

The southwest direction can be represented as (-5.0 miles, -45°) since it is in the opposite direction of the positive x-axis (west) and the positive y-axis (north) by 45 degrees.

The direction 70 degrees north of the west can be represented as (8.0 miles, -70°) since it is 70 degrees north of the west direction.

Step 2: Convert the displacement vectors to their Cartesian coordinate form.

Using trigonometry, we can find the x-component and y-component of each displacement vector:

For the southwest direction:

x-component = -5.0 miles * cos(-45°) = -3.536 miles

y-component = -5.0 miles * sin(-45°) = -3.536 miles

For the direction 70 degrees north of west:

x-component = 8.0 miles * cos(-70°) = 3.34 miles

y-component = 8.0 miles * sin(-70°) = -7.72 miles

Step 3: Add the components of the displacement vectors.

To find the total displacement, we add the x-components and the y-components:

x-component of total displacement = (-3.536 miles) + (3.34 miles) = -0.196 miles

y-component of total displacement = (-3.536 miles) + (-7.72 miles) = -11.256 miles

Step 4: Find the magnitude and direction of the total displacement.

Using the Pythagorean theorem, we can find the magnitude of the total displacement:

\(magnitude = \sqrt{(-0.196 miles)^2 + (-11.256 miles)^2} = 11.281 miles\)

To find the direction, we use trigonometry:

direction = atan2(y-component, x-component)

direction = atan2(-11.256 miles, -0.196 miles) ≈ -88.8°

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

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Answer:

72 Grams

Step-by-step explanation:

You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72   (12 cups of tea.. darn)

Answer:

question 12 is answer B

question 13 is -8x^3

Step-by-step explanation:

exponent rule \(\frac{a^m}{a^n} = a^(^m^-^n^)\)

Multiply the weight of Evans box by the fraction of what Matthews weighs:

4/5 x 3/4 = (4x3)/(5x4) = 12/20 = 3/5 kilograms

Answer: 3/5 kilograms

Answer: 2/x+4x^2

Step-by-step explanation:

Do distrubitive property.

SO mutiply 2/5 to 5/x which is 10/5x or 2/x

then 2/5 times 10x^2

10*2/5=20/5 or 4

Done.

Have a nice day! :)

Answer:

Step-by-step explanation:

Answer:

C is correct

Step-by-step explanation:

x² + 2x - 63

= x² +9x - 7x - 63

= x(x+9)-7(x+9)

= (x + 9)(x - 7)

∴ C is correct

Answer:

Image: (-7,3)

Step-by-step explanation:

Reflections In The Coordinate Plane

Reflect over the line y = x:

When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.

Thus, the point (3,-7) maps to the point (-7,3) when reflected over y=x.

Calculating the obtuse angle or value of a triangle.

Finding obtuse angle value:

steps:

1)  Square the length of both sides of the triangle that intersect to create the obtuse angle, and add the squares together.

For example, if the lengths of the sides measure 4 and 2, then squaring them would result in 16 and 4. Adding the squares together results in 20.

2)  Square the length of the side opposite the obtuse angle. For the example, if the length is 5, then squaring it results in 25.

3) Subtract the combined squares of the adjacent sides by the square of the side opposite the obtuse angle. For the example, 25 subtracted from 20 equals -5.

4)  Multiply the lengths of the adjacent sides together, and then multiply that product by 2. For the example, 4 multiplied by 2 equals 8, and 8 multiplied by 2 equals 16.

5) Divide the difference of the sides squared by the product of the adjacent sides multiplied together then doubled. For the example, divide -5 by 16, which results in -0.3125.

The obtuse angle value is obtained by inverse of cos:

cos^-1(-0.3125)

= 108.209 degrees.

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Answer:4.404

Step-by-step explanation: All you have to do is place it in standard algorithm, and you start multiplying

Answer:

= 4.404

Step-by-step explanation:

= 7.34 × 0.6

Remove the point

= 734 × 6

= 4 404

Then shift the point for 3 times

:. = 4.404

Answer:

a. g(x) = (1/3)√(x + 4)

b. g(x) = 4√x + 3

c. g(x) = √(x + 2) - 6

Step-by-step explanation:

(a) To shift the graph of f(x) = √x left 4 units, we need to replace x with (x + 4). To vertically compress the graph by a factor of 1/3, we need to multiply the entire function by 1/3. Therefore, the transformed equation is:

g(x) = (1/3)√(x + 4)

(b) To vertically stretch the graph of f(x) = √x by a factor of 4, we need to multiply the entire function by 4. To shift the graph 3 units up, we need to add 3 to the function. Therefore, the transformed equation is:

g(x) = 4√x + 3

(c) To shift the graph of f(x) = √x left 2 units, we need to replace x with (x + 2). To shift the graph 6 units down, we need to subtract 6 from the function. Therefore, the transformed equation is:

g(x) = √(x + 2) - 6

Answer:

the third one I think please see be right

Answer:

A

Step-by-step explanation:

I just took This test

The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Answer:

14 =x

Step-by-step explanation:

∠SRT ≅ ∠STR,

That means <R = < T

28 = 2x

Divide each side by 2

28/2 =2x/2

14 =x

Answer:

x = 14

Step-by-step explanation:

Solve for x

∠SRT ≅ ∠STR

It means both angles are equal.

28 = 2 x

divide both side of equation by 2

28 / 2 = 2 x / 2

14 = x

There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

We have,

Five guys.

Now,

We know that,

Total number of ways to arranged around a table (n) = (n-1)!

So,

For n = 5,

I.e.

(n - 1)! = (5 - 1)! = 4!

So,

Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!

i.e.

= (5 - 1)! = 4!

We get,

= 4 × 3 × 2 × 1

i.e.

Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.

Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.

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Answer:

\(5\geq m\) - put a closed dot on 5, then an arrow pointing to the left

Step-by-step explanation:

You have to solve the equation. After solving, you should end up with \(5\geq m\)

Answer:

\(8a^{10}b^{7}\)

Step-by-step explanation:

\((\)\(4a^{4}\)\(b^{5}\)\()\) × \((\)\(2\)\(a^{3}\)\(b\)\()^{2}\)

\((4a^{4} b^{5} )\) × \((2a^{6}b^{2})\)

\(8a^{4}b^{5}a^{6}b^{2}\)

\(8a^{10}b^{7}\)

Answer:

32.0 or 32/1 or 64/2

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

A

Step-by-step explanation:

edge 2020

The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

It is defined as the change in values of a dependent variable with respect to the independent variables.

As we know,

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

From the first graph:

The line goes through the points:

(-2, 2) and (2, 1)

y - 1 = (1-2)/(2+2)[x -2]

y - 1 = (-1/4)[x -2]

y = -x/4 + 1/2 + 1

y = -x/4 + 3/2

The constant additive rate of change = -1/4

Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.

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Answer:

2,292/3 = x/12

Step-by-step explanation:

if you were to solve

2,292/3 finds you how many people per hour

and multiply that by 12 to find how many people for 12 hours.

Step-by-step explanation:

\(\frac{2292}{3} =\frac{x}{12}\)  

cross multiply divide.

x=9168