Solve for 3+y/2=-212

To determine how much he earns each week we need to divide the amount given by 4, that is we need to kae the division:

The long division is shown below:

To make the long division we notice that we can't divide the first number (one) by four, then we need to put down the five to get a 15, this number can be divided by four. Fifteen can be divided by four, the number four fits 3 times in fifteen, then we have a three as the first nonzero number. three by 4 is 12. We subtract 12 from 15 to get 3 and the we downed the following two. This procedure is repeated until we have a number that gives zero as a remainder. This is shown in the picture above.

From it we conclude that Jefferson earns $380 each week

9) We can calculate the volume as the product of the base area and the height.

The base is a circle with radius r=18 in. Then, its area is:

Then, we can calculate the volume V as:

10) In this case the circular base is on the side, but we can still use the same principle to calculate the volume.

The area of the base with diameter D = 11 in is:

Then, we can calculate the volume V as:

Answer:

9) V = 4860π

10) V = 635.25π

tan (theta) = 5/6 and cos theta < 0

tan (theta) = 5/6 ==> theta = tan^-1(5/6) = 39.80557109

theta = 39.80557109

cos(theta) = cos(39.80557109) = 0.7682212796

It says that cos(theta) < 0, so the 39.80557109 degrees is in rality an angle of 90 + 39.80557109 = 120.80557109

sin (theta) = sin (120.80557109) = 0.858910105

cos(theta) = cos(120.80557109) = −0.5121263824

tan(theta) = tan(120.80557109) = −1.677144811

sec(theta) = sec(120.80557109) = −1.952643008

csc(theta) = csc(120.80557109) = 1.164266195

cot(theta) = cot(120.80557109) = −0.5962514348

Step 1

Domain: The domain is the set of values for x, in the function x can take any values, so the set is all the real numbers

Range:The range is the set of values for y, y can take any values, so the set is all the real numbers

Answer:

12 feet

Explanation:

The diagram representing the problem is attached below:

The distance of the pole to the base of the string is the value x.

Using Pythagoras Theorem:

The end of the string should be anchored 12 ft from the base of the pole.

To begin with, let us look at a few definitions that will help

A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.

If we use a graph to check, we will have

We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.

Hence, it is a function

The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.

The domain of the function, D is given by

The range, R is given by

Solution:

Given;

Rewrite the expression using;

Thus;

Then;

CORRECT OPTION: D

Answer:

H = 6

Explanation:

We are given the values of S, L, and W, and so we put them into the formula to get

We simplify the above to get

Subtracting 24 from both sides gives

Adding the like terms on the right-hand sides gives

Finally, dividing both sides by 14 gives

which gives

which is our answer!

The inequality given is:

Let's solve for x:

The solution set of this inequality is the set of all numbers bigger or equal than 1.

Thus, the correct answer is option A, where we can see that the values start at 1 and goes to positive infinity.

Ok the length of AB is given by the equation:

If x=8 then we simply have to replace this value in the equation:

And that's the length of segment AB.

EXPLANATION

We can write an inequality in slope-intercept form by using the two given points, (x_1,y_1)= (-4,0) and (x_2,y_2)=(4,2), as shown as follows:

Replacing terms:

Subtracting terms:

Now, we need to find the y-intercept.

As we can see in the dashed line, the y-intercept is at point (x,y)=(0,1).

Hence, the equation of the dashed line is as follows:

y = (1/4)x + 1

But as the solution represents all the points that are below this line, the inequality should be as following:

y < (1/4)x + 1

Answer:

The opposite of 1.7 are;

Explanation:

We want to find the rational number that is opposite of 1.7.

The opposite of 1.7 is;

The opposite of 1.7 can be written as;

The opposite of 1.7 are;

We need to find the value of 5 to the third power, to do this let's remember that the third power of a number means multiplying this number three times by itself, that is:

The answer is 125

We need to apply the law of exponents. In this case we need to

Keep the base and add the exponents,

that is the third option.

We have to relate a linear function (the regression model) with its equation.

We can see in the graph that the y-intercept, the value of y(0), is b=5.

Then, we can estimate the slope with the known points (0,5) and (2,8):

Then, with slope m=1.5 and b=5, the regression model equation should be:

We can estimate the mood for students that spent 2.5 hours playing sports by replacing x with 2.5 in the model and calculate y:

NOTE: we could also have look on the graph instead of doing the calculation.

Answer: B) y=1.5x+5

The estimation of the mood for a student that spent 2.5 hours playing sports is 8.75.

Given:

A page of the scrapbook is a square with a length of 11 in

Each page holds three pictures that each have an area of 15in²

To find the remaining area, we will find the area of the page and the total area of the pictures, then subtract the area of the pictures from the area of the page

The area of the page = 11 x 11 = 121 in²

Total area of the pictures = 3 x 15 = 45 in²

So, the remaining area = 121 - 45 = 76 in²

Follow the function we have that

So H(1) = 80 feet. Now

So H(2) = 128 feet. Now

So H(4) = 128 feet. Now

So H(5) = 80 feet.

step 1

Find the equation of line k

the slope of line k is

m=-3/4 ------> previous answer

step 2

If two lines are perpendicular, then their slopes are opposite reciprocal

so

the slope of the line m must be equal to

m=4/3

I will assume a point (3,4)

Find the equation in slope intercept form

y=mx+b

we have

m=4/3

point (3,4)

substitute

4=(4/3)*(3)+b

solve for b

4=4+b

b=0

therefore

Find the equation in point slope form

y-y1=m(x-x1)

we have

m=4/3

point (3,4)

substitute

Find the equation in standard form

Ax+By=C

where

A is a positive integer

B and C are integers

we have

y=(4/3)x

Multiply by 3 both sides

3y=4x

The expression is:

We need to use a factor tree to solve the problem. We will draw it as shown below:

According to the factor tree we can represent the 98 as:

We can now remove the terms that have a power of 2 and a power of 12. For that we need to divide the exponents by 2.

The simplified expression is 7*sqrt(2)*m^6.

We can calculate the area of the shaded region as the difference between the area of the rectangle (sides 12 cm and 10 cm) and the area of the triangle in the corner.

The triangle has base of b=12-8=4 cm and height h=10-6=4 cm.

Then, we can calculate the area of the shaded area as:

Answer: 112 cm^2

In order to have parallel lines, the slopes of the lines need to be the same.

In order to check the slope for each option, let's put the equations in the slope-intercept form:

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

So we have that:

A.

B.

C.

D.

So the only option with a line with a slope of -3 is Option A.

The equation from the box obtained is

Solution

for this case we have the following equation:

the constant would be:

k= -0.062

Then we can do this:

solving for t we have:

Rounded to the nearest hundredth would be:

11.18 days

Then, since arcsin is a function:

x-intercept -3

y-intercept​ 6

Determine the pounds of beans in each bag.

So answer is 1 1/2.

In order to find the z-score for the value 34000, we can use the formula:

Where μ is the mean and σ is the standard deviation.

So using x = 34000, μ = 38000 and σ = 2250, we have:

So the z-score for the value 34000 is 1.78.

Given:

The table represents a proportional relationship.

a) To find the missing values of table,

For first table,

For second table,

For third table,

b) To draw the circle around the constant of proportionality.

For first table the constant of proportionality is 5.

For second table the constant of proportionality is 1/4.

For third table the constant of proportionality is 3/5 .

Given random numbers, it is important to remember that Random Numbers are defined as those numbers that each have the same probability of being selected.

In Statistics, random numbers are useful to model different real-world situations.

An example of random numbers is the numbers of a lottery.

Another example of random numbers is the numbers obtained by rolling a numbered dice.

Hence, the answer is: Option C.