What is the total percentage of college graduates who have found that their degree very helpful to develop specific skills and knowledge for the workplace? 

The correct answer is option A;

The graph shifts right 5 and up 1

The volume of a rectangular prism is given by the product of its three dimensions.

Since the box dimensions are 4 cm, 5 cm and 10 cm, its volume is:

So the volume of the box is equal to 200 cm³.

Solve first for the slope intercept form for the equation x + 3y = 24.

Since they are parallel, then they should have the same slope m. We now solve for b using the point (-2,-3)

After solving for b, complete the equation.

The unit rate = 0.6 holes per hour

Number of holes dug by the team = 12

Total time taken = 20 hours

The unit rate = (Number of holes) / (Time)

The unit rate = 12/20

The unit rate = 0.6 holes per hour

Equation in slope intercept form is written as

y = mx + b

If slope m = 1/3 and y-intecept b = 3

Equation form using the information above is

Point slope form using the point (3, 4)

simply use the formula

y - y₁ = m( x- x₁ )

The range in the average rate of change in temperature of the substance is from a low temperature of -[tex]22^{0}[/tex]F to a high of [tex]16^{0}[/tex]F

The domain of the function f(x) = sin x includes all real numbers, but its range is  −1 ≤ sin x ≤ 1. The sine function has different values depending on whether the angle is measured in degrees or radians. The function has a periodicity of 360 degrees or 2π radians.

Given f(x) = -19sin(7/3x + 1/6) – 3

We have to the range in the average rate of change in temperature of the substance is from a low temperature of ___F to a high of ___F

We know that the range of sin x is [-1, 1]

f(x) = -19 sin(7/3x + 1/6) – 3

We know

-1 ≤ sin(7/3x + 1/6) ≤ 1

Now multiply with -19 on both sides

19 ≥ -19sin(7/3x + 1/6) ≤ -19

-19 ≤ -19sin(7/3x + 1/6) ≤ 19

Now subtract 3 from both sides

-19 - 3 ≤ -19sin(7/3x + 1/6) - 3 ≤ 19 - 3

-22 ≤ -19sin(7/3x + 1/6) ≤ 16

-22 ≤ f(x) ≤ 16

Therefore the range in the average rate of change in temperature of the substance is from a low temperature of -220F to a high of 160F

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Answer:

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The sum of the measures of the angles of a triangle is 180:

The sum of the measures of the second and third angles is nine times the measure of the first angle:

The third angle is 26 more than the second:

Substitute the second equation into first:

Solve for x:

Substitute the value of x into second and solve for y:

Solve the third equation for y:

Compare the last two equations and find the value of z:

Find the value of y:

Answer:

x = 18°

y = 68°

z = 94°

Step-by-step explanation:

Define the variables:

Given information:

Create three equations from the given information:

[tex]\begin{cases}x+y+z=180\\\;\;\;\;\;\:\: y+z=9x\\\;\;\;\;\;\;\;\;\;\;\;\;\: z=26+y\end{cases}[/tex]

Substitute the third equation into the second equation and solve for x:

[tex]\implies y+(26+y)=9x[/tex]

[tex]\implies 2y+26=9x[/tex]

[tex]\implies x=\dfrac{2y+26}{9}[/tex]

Substitute the expression for x and the third equation into the first equation and solve for y:

[tex]\implies \dfrac{2y+26}{9}+y+26+y=180[/tex]

[tex]\implies \dfrac{2y+26}{9}+2y=154[/tex]

[tex]\implies \dfrac{2y+26}{9}+\dfrac{18y}{9}=154[/tex]

[tex]\implies \dfrac{2y+26+18y}{9}=154[/tex]

[tex]\implies \dfrac{20y+26}{9}=154[/tex]

[tex]\implies 20y+26=1386[/tex]

[tex]\implies 20y=1360[/tex]

[tex]\implies y=68[/tex]

Substitute the found value of y into the third equation and solve for z:

[tex]\implies z=26+68[/tex]

[tex]\implies z=94[/tex]

Substitute the found values of y and z into the first equation and solve for x:

[tex]\implies x+68+94=180[/tex]

[tex]\implies x=18[/tex]

Given

The system of equations,

20x − 5y = 20

8x − 2y = 8

To find: The solution.

Explanation:

It is given that,

20x − 5y = 20 _____(1)

8x − 2y = 8 _____(2)

That implies,

Divide (1) by 5 and (2) by 2.

Then, (1) and (2) becomes,

4x - y = 4.

Hence, there is infinitely many solution.

Given data:

The given inequality is 3(x+5) >12.

The given inequality can be written as,

The graph of the above solution is,

Thus, the solution of the given inequality is (-1, ∞).

Price of one pound of mercury is derived as follows;

This means 1 pound of mercury costs $1.98

1 pound = 453.6 grams

Therefore;

The price of 1 gram of mercury would be;

This means 1 gram of mercury costs $0.004365

Note that you have 13.534 grams per cubic centimeter of mercury. Therefore, the price of 1 cubic centimeter of mercury shall be calculated as follows;

This means 1 cubic centimeter of mercury would cost $0.059

Note also that, 1 cubic inch = 16.387 cubic centimeters. Hence,

This means 1 cubic inch costs $0.9668

It takes 4.800 cubic inches to make 1 manometer.

Therefore, the cost of 4.800 cubic inches would be;

If it costs 4.800 cubic inches to make 1 manometer, then the cost of 1 manometer would be $4.64

Therefore, to make 21 manometers, we would have;

ANSWER:

The price of mercury required to make 21 manometers would be $97.44

Given

The ordered pair (2,5).

To find which of the functions have the ordered pair as a solution.

Explanation:

It is given that,

The ordered pair (2,5).

Then, put x=2, and y=5 in the function x+3=y.

That implies,

Hence, the ordered pair (2,5) is a solution of the function x+3=y.

Also, substitute x=2, y=5 in the function 7-x=y.

That implies,

Hence, the ordered pair (2,5) is a solution of the function 7-x=y.

The first step to solve the problem is to create a function that relates the number of quizzes he attends by the number of weeks that elapses. Since he alread took one quizz, then the function must start from that and must grow at a rate of 5 quizzes per week. We have:

We want to know how many weeks until he takes 31 quizzes, then we need to make the expression equal to 31 and solve for the value of w. We have:

Then we subtract both sides by 1.

Then we divide both sides by 5.

It'll take 6 weekes before he have taken a total of 31 quizzes.

Answer:

Explanation: We have to find the vertex form of the parabola equation from the given standard form of it:

The general form of the vertex parabola equation is as follows:

Comparing the equation (2) with the original equation (1) by looking at the graph of (1) gives the following:

Therefore the vertex form of the equation is as follows:

Therefore the answer is Option(A).

First, we will find the value of k

We can do this by sybstituting y=24, x=6 in;

y=kx and then solve for k

24= k(6)

divide both-side of the equation by 6

24/6 = k

4 = k

k=4

Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y

y= (4)(5)

y = 20

Part A

The net force is 4 N up

Part B

The net force is 3 N to the left

The legth of running around this track will be the length of both semi-circles plus the two bigger sidesof the rectangle.

The length of a semi -circle is half the length of a circle, and can be expressed as:

Where r is the radius of the semi-circle. The diameter of the semi-circles is the same as the smaller sides of the rectangle and its radius is half the diameter, so:

So, the total length, as said above, is the sum of the length of both semi-circles plus two times the bigger side:

Al the measures used were in meters and length is given in meters to the first power, so the unit of the result is also meters, or just "m".

Thus the answer is 374.96 m.

Solution

For this case we can conclude the following:

triangle HJK ≅ triangle QRS because one is rotation of 90º about the origin of the other

Rectangle DEFG ≅ rectangle MNLP because one is a translation of the other

triangle ABC ≅ no given figure because one is not related by rigid motions of the other

write the total costs a linear function in the form

in which:

y= total cost

x= number of months

m= charge per month

b= fixed start up fee

replace all data in the equation

Since the question is the cost for 1 month, x=1

The cost for the use of the cellphone is $250

10 years

1) Considering that we can call the age of a stamp by "s" and the age of a coin by "c" we can write out the following system of Linear Equations:

Note that we can solve it using the Elimination Method.

2) So let's add simultaneously both equations:

We can plug into that s=10 and find the age of a coin as well:

Note that we subtracted 20 from both sides.

3) Hence, the age of a stamp is 10 years

Answer:

Explanation:

If we have a linear equation of the form

then m = slope and b = y-intercept.

Now in our case, we have

which means that slope = 2 and y-intercept = 3

Therefore, we graph a line that has a slope of 2 and a y-intercept of 3.

A slope of 2 means that for every step you take to the right on a graph, you move 2 steps up to get to a point on the line.

The y-intercept of 3 means that the line passes through the point (0, 3).

Using these two facts about the line, we draw the following line.

From the above plot, we can clearly see that the line has a slope of 2 and a y-intercept of 3 - the same line described by y = 2x + 3.

The distance between the two camper stations are 60.44 km and 62.95 km. as calculated using the law of sines.

Let us consider the the first ranger station is A and the second ranger station is C and the camper is at the position B.

It is given that AC = 10 km

∠BAC = 100°

∠BCA = 71°

∴∠ABC = 180 - (100 + 71) = 9

Now we will use this to find the distance between each ranger station and the camper by using the law of sines.

From the law of sines we know that :

[tex]{\displaystyle {\frac {a}{\sin {\alpha }}}\,=\,{\frac {b}{\sin {\beta }}}\,=\,{\frac {c}{\sin {\gamma }}}\,}[/tex]

Now we will use this ratio to calculate the other sides of the triangle.

10 / sin 9 = BC / sin 100

or, BC = 10 × sin 100 / sin 9

or, BC = 62.95 km

Again:

10 / sin 9 = AB / sin 71

or. AB = 60.44 km

Therefore the distance between the two camper stations are 60.44 km and 62.95 km.

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Solution

We have the following values:

68,84,75,82,68,90,62,88,76,93,73,79,88,73,58,93,71,59,

58,51,61,65,75,87,74,62,95,78,63,72,66,96,79,65,74,77,95,

85,78,86,71,78,78,62,80,67,69,83,76,62,71,75,82,89,67,58,

73,74,73,65,81,76,72,75,92,97,57,63,68,83,81,82,53,85,94,

52,78,88,77,71

Part a

Range = Max- Min= 97-51= 46

Part b

The mean is given by:

Part c

The median is given by:

Position 40 ordered= 75 and Position 41 ordered= 75

Then the median is:

Part d

The most is the most frequent value and for this case is:

Repeated 5 times

Mode = 78

Part e

The data within the interval 50-54 is:

51 52 53

The variance is given by:

And the deviation si:

We need to find the points at which the expression below intercept the axis of the coordinate plane:

To find the "x" intercept we need to find the value of "x" that results in a value of "y" equal to 0. We have:

To find the "y" intercept we need to find which value of "y" the function outputs when we make x equal to 0.

The x intercept is -1 and the y intercept is -3.

His brother spent talking on the phone

Step - by - Step Explanation

What to find?

Time Nimol's brother spent talking on phone.

Let x be the time Nimol spent in talking on phone.

Let y be the time Nimol's brother spent talking on phone.

x = y + 3 1/2

x =2/5 ( y + 3 1/2)

Answer: Provided the sunglasses inventory which has the number of sunglasses and days in two columns, we have to find the graph which represents this table.

The table can be modeled by a linear equation:

Finding the slope and y intercept of this equation (1) leads to the following:

The answer, therefore, is the plot of equation (2) which is as follows:

We have a segment AC, with the point B lying between A and C.

The ratio AB to BC is 5:6.

The coordinates for A and C are:

A=(2,-6)

C=(-4,2)

We can calculate the coordinates of B for each axis, using the ratio of 5:6.

We can do the same for the y-coordinates:

The coordinates of B are (-8/11, -26/11).

Given

Answer

height of tower is 105 ft

First let's find the missing value of the hypotenuse:

we have that the hypotenuse equals sqrt(41). Now we can find the values of the trigonometric functions:

Let's call the numbers a, b and c.

The first statement tells us that the sum of the three numbers is 106, so:

The second statement tells us that the second number is two times the third so:

The final statement tells us that the first number is 6 more than the third, so:

This gives us a system of three equations with three variables. Let's take the value of a given by the third equation, use it in the first one and isolate another variable:

Let's take this value of b and use it in the second equation:

Now we know the exact value of c, so let's go back to the third equation:

and now we also know the exact value of a, so let's go back to the second equation:

So, the first number (a) is 31, the second (b) is 50 and the third (c) is 25.

31+50+25=106.