Jason is only able to work 28 hours a week this month (at $12 an hour) so he is worried that he will be in a bind paying his bills. He has to pay
his rent ($875) and his car payment ($330) with insurance ($130). How miuch will Jason have left over at the end of the month?

The average value of exam grade of students who studies is 92 and students those who did not studied is 68.

We have the following information for this case:

Students those who studied:

Exam grade: 94 96 90 88 88 100 78 95 97 94

The sample mean is calculated using the formula:

X = Σxi/n

If we replace the given values, we get:

X = (94 + 96 + 90 + 88 + 88 + 100 + 78 + 95 + 97 + 94)/10

  = 920 / 10

  = 92

Students those who did not study is :

Exam grade = 64 73 71 64 56 49 89 67 76 71 64 56 49 89 67 76 71

The sample mean is calculated using the formula:

X = Σxi/n

By substituting we get:

X= 64 + 73 + 71 + 64 + 56 + 49 + 89 + 67 + 76 + 71 + 64 + 56 + 49 + 89+ 67 + 76 +71

= 680 / 10

= 68

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Answer:

Dimensions 30 in x 30 in x 15 in

Surface Area = 2,700 in²

Step-by-step explanation:

Let 'r' be the length of the side of the square base, and 'h' be the height of the bin. The volume is given by:

\(V=13,500=h*r^2\\h=\frac{13,500}{r^2}\)

The total surface area is given by:

\(A=4*hr+r^2\)

Rewriting the surface area function as a function of 'r':

\(A=4*\frac{13,500}{r^2} *r+r^2\\A=\frac{54,000}{r}+r^2\)

The value of 'r' for which the derivate of the surface area function is zero, is the length for which the area is minimized:

\(A=54,000*r^{-1}+r^2\\\frac{dA}{dr}=0= -54,000*r^{-2}+2r\\\frac{54,000}{r^2}=2r\\ r=\sqrt[3]{27,000}\\r=30\ in\)

The value of 'h' is:

\(h=\frac{13,500}{30^2}\\ h=15\ in\)

The dimensions that will ensure the minimum surface area are 30 in x 30 in x 15 in.

The surface area is:

\(A=4*15*30+30^2\\A=2,700\ in^2\)

\(p(t)=1650e^{0.11t}\implies \stackrel{p(t)}{2479}=1650e^{0.11t}\implies \cfrac{2479}{1650}=e^{0.11t} \\\\\\ \log_e\left( \cfrac{2479}{1650} \right)=\log_e\left( e^{0.11t} \right)\implies \log_e\left( \cfrac{2479}{1650} \right)=0.11t \\\\\\ \ln\left( \cfrac{2479}{1650} \right)=0.11t\implies \cfrac{ ~~ \ln\left( \frac{2479}{1650} \right) ~~ }{0.11}=t\implies 3.7\approx t\)

at that moment, the population will reach 2479, and right after that, it'll exceed it.

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer:

you can add them

Step-by-step explanation:

You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.

To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).

According to the given information, the total interest earned from both investments is $130. So we can set up the equation:

0.03x + 0.04($4000 - x) = $130

Simplifying the equation:

0.03x + 0.04($4000 - x) = $130

0.03x + $160 - 0.04x = $130

-0.01x = $130 - $160

-0.01x = -$30

x = -$30 / -0.01

x = $3000

Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.

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Answer:

2 - 8i

Step-by-step explanation:

The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.

An example:

The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.

To solve

So all you need to do is find the opposite of -2 + 8i. You can write it as:

-(-2 + 8i)  With the negative in the front because we want to find the opposite.

This then equals:

2 - 8i

You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:

(-2 + 8i) + (2 - 8i)  →  and it does equal 0

ANSWER: 2 - 8i

Hope you understand and that this helps with your question! :)

Answer:

18 square units

Step-by-step explanation:

the area of a parallelogram is represented by length times width

or l * w

l is 3 and w is 6

when you multiply them you get 18

you have to add the square in front of your type of unit too

Answer:

>

Step-by-step explanation:

Answer: >

Step-by-step explanation: Because 1/4 as a decimal is .25 and you can change the 0.4 to 0.40; they are the same thing. And .40 is greater than .25

Using percentages we know that 62% or 62 students out of 100 students prefer biology.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage.

When determining a percentage of a number, we should first divide it by 100 before multiplying the result by 100.

Thus, the proportion refers to a component per 100.

The word percent denotes a percentage of 100. It is represented by the symbol "%."

So, according to the given situation:

34 females enjoy biology

Do boys enjoy biology?

It is 34%≤

Then,

27% favor chemistry

10% favor physics.

The calculation would be:

27 + 11 = 38

100 - 38 = 62

Therefore, using percentages we know that 62% or 62 students out of 100 students prefer biology.

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Correct question:

100 students are interviewed to see which of biology, chemistry or physics they prefer.72 of the students are girls. 34 of the girls like biology best. 11 of the boys prefer physics. 24 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?

Answer:

x^2+12x=-11

Step-by-step explanation:

Answer:

(-1, 12) and (-11, 132)

Step-by-step explanation:

The equation for the profit from selling the items is P =  40x-0.5x²-300. The values of x are 10 and 70.

We have the cost function in this question to be

Cx = 60x+300

Revenue = 100x−0.5x²

A. The revenue function is stated as the revenue - cost

= (100x−0.5x²)-60x+300

We have to open the equation

40x-0.5x²-300

B. when profit is 50 dollars

50 = 40x-0.5x²-300

We have to multiply both sides by 10

500 = 400x - 5x² - 3000

We have to collect like terms and form a quadratic equation

5x² - 400x - 3500 = 0

We have to solve the quadratic equation above using a quadratic calculator.

Hence

x = 10, 70

So the two values that would create a profit of 50 dollars is 10 and 70.

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The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Given, the constraints of a problem

2x+3y≥12

5x+2y≥15

x ≥ 0

y ≥ 0​

On solving the equations, we get

( 2x + 3y ≥ 12 ) × 2

( 5x + 2y ≥ 15 ) × 3

4x + 6y ≥ 24

15x + 6y ≥ 45

On subtracting, we get

11x ≥ 21

x ≥ 21/11

x = 21/11

On putting the value of x, we get

42/11 + 3y = 12

y = 19/11

Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

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(-3x³+2x²+4x+24) (x-2)

---------------------------------

8x

Answer:

The answer is in the picture below

Step-by-step explanation:

Hope this helps!

Figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

The reflection operator geometrically repositions image elements, or pixel values, in such a way that they are reflected about a user-specified image axis or image point and placed in a new position in a matching output image.

In the given image option fourth is showing the correct reflection of the triangle △MNP over the y-axis to the form △M`N`P'.

It is observed that every point of the triangle MNP is at the same distance from the y-axis as every point of the triangle M'N'P'.

Therefore, figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

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A sample of matter, either a single element or a single compound, that has definite chemical and physical properties is; A pure substance

An atom is defined as the smallest unit of an element that still retains the distinctive behavior and definite chemical and physical properties of the element.

Now, a single atom of an element usually keeps its distinctive behavior, due to the fact that the atom is the smallest unit of the composition of matter.

However, a pure substance is a sample of matter (either a single element or a single compound) that has definite chemical and physical properties.

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Answer:

He drove 45.04 miles

Step-by-step explanation:

Step-by-step explanation:−

x

2

−

4

x

−

1

=

0

Answer: Simply the expression = 5

Step-by-step explanation:

Simplify = 5

Step-by-step explanation:

-5-(-10) = -5+10 = 5

Therefore the answer of your question is 5.

Mark me as the brainliest answer.

Winston's economic profit based on the forgone salary of $60,000, and the revenue of $150,000 is $78,000. The correct option is therefore;

$78,000

An economic profit is a profit that accounts for both the explicit and implicit costs of a business. The economic profit is obtained from the difference between the total revenue and the costs including the opportunity costs.

The annual salary of Winston as an accountant = $60,000

The amount Winston's financial asset generates = $4,000 per year

The cost of running the business = $8,000

The amount Winston earns as revenue = $150,000

Therefore;

Winston's opportunity cost which is the forgone alternative, is the amount he earns as an accountant = $60,000

The interest of $4,000, earned from the financial asset = The cost of using the financial asset for the business

The cost of running the business = $8,000

The total cost = Opportunity cost + Cost of making use of the financial asset + The business running cost

The total cost = $60,000 + $4,000 + $8,000 = $72,000

The economic profit = The total revenue - The total cost

Therefore;

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The total area of all of the pieces is;

Total Area = 4x + 4y + 3xy + 6x² + y²

Area is the amount of space occupied by a 2-dimensional figure. It is the quantity that measures the number of unit squares that cover the surface of a closed figure. The word 'area' means a vacant surface. The area of a shape is calculated with the help of its length and width. Length is unidimensional and measured in units such as feet (ft), yards (yd), inches (in), etc.

From the diagrams, we have the following shapes;

Rectangle (x,1) = 4 x X x 1

Rectangle (y,1) = 4 x y x 1

Rectangle (x,y) = 3 x x x y

Square (x,x) = 6 x X x X

Square (y,y) = 1 x y x y

Total Area = 4x + 4y + 3xy + 6x² + y²

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Answer:

9

Step-by-step explanation:

3j + 8 = 35

3j = 35 - 8

3j = 27

3j ÷ 3 = 27 ÷ 3

= 9

Answer:

9

Step-by-step explanation:

the total is 35 she ate 8 so that's subtract then divide the answer u get for 35-8 and divide that by 3

35-8=27

27÷3=9

Answer: $3,580.50

Step-by-step explanation: Use the expression I =A-P and plugin your values to there to get your answer.

Answer:

Sorry just trying to get points

Step-by-step explanation:

ANSWER

J' (0, -3)

K' (1, -4)

L' (3, -4)

M' (3, -2)

EXPLANATION

The quadilateral JKLM is transformed by dilating it with scale factor of 1/2 and then reflected over the x axis.

First, we dilate the quadilateral by 1/2 by multiplying each of the vertices by 1/2.

That is:

Now, we reflect it over the x axis. In doing this, the x cordinates remain the same but the y axis become the opposite.

That is:

J (0, 3) => J' (0, -3)

K (1, 4) => K' (1, -4)

L (3, 4) => L' (3, -4)

M (3, 2) => M' (3, -2)

Therefore, the vertices of the image are:

J' (0, -3)

K' (1, -4)

L' (3, -4)

M' (3, -2)

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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