Determine whether each number is a solution:
2(m+1)<-6; -6,-4,-2

The student 3's numeric grade percentage is 95.6%.

The final grade for the students is calculated based on the test scores and the class project score.

The test is worth 80% and the project is worth 20% of the grade. To calculate the final grade percentage, the individual percentages of test and project are computed, then added together.

The result cannot exceed 100%.Let us calculate the weighted test score for student 3.

There were three tests each worth 100 points. The scores of student 3 are 91, 78, and 83.

We have to add up the test scores; then divide by the total number of test points and then multiply by the weighted percentage.

The weighted test score is:(91+78+83)/300 * 80% = 76.6%

We can now calculate the percentage for the project. Student 3 received a grade of 95%.

Therefore, the percentage for the project is: 95% * 20% = 19%.

Now, we add the weighted test score to the weighted project score to find the final grade for student 3. 76.6% + 19% = 95.6%.

Therefore, The final grade of student 3 is 95.6%

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Answer:

b = -3

Step-by-step explanation:

3.2b + 10 = -1.7b - 4.7

add 1.7b to each side

3.2b+1.7b + 10 = -1.7b+1.7b - 4.7

4.9b +10 = -4.7

Subtract 10 from each side

4.9b +10-10 = -4.7-10

4.9b = -14.7

Divide each side by 4.9

4.9/4.9 = -14.7/4.9

b = -3

Step-by-step explanation:

A) The amount is taken during the first dose is - 500 mg

In 10 days, she will take the drugs for 240/12 = 20 times

After 12 hours, 4.5 % of drugs remain in the blood therefore

after the first dose = 500

second dose, 4.5% of  500 + 500 = 22.5 +500 = 522.5 mg

third dose, 4.5 % of 522. 5 + 500 = 523.51 mg

Forth dose, 4. 5% of 523.51 + 500 = 523.55 mg

B) Highest amount will be found on 20th dose.

= 500 x (1-0.045^20/ 1- 0.045)

= 523.55 mg

C) The highest amount in the body is near to 523.55 mg therefore after 10 days also, the amount of drug will remain near the value of 523.55 mg.

Answer:

Step-by-step explanation:

a. The East department gave the greatest number of citations in one day.

b. The East department gave the least number of citations in one day.

c. The East department has a greater IQR than the West department.

d. The East department has the greater median of citations in one day.

Answer:

Step-by-step explanation:

Combine like terms

7x^6

2x^5+5x^5= 7x^5

8x^3

-3x^2-6x^2= -9x^2

9x+2x= 11x

-5

Put back into order

7x^6+7x^5+8x^3-9x^2+11x-5

Answer:

Below

Step-by-step explanation:

The shaded area is the area GREATER than ('>') the graph (it is ABOVE the graph)

the two zeroes (where it crosses the x -axis) of the graph are - 6 and 18

so the parabola   is  y = (x+6)(x-18)

  but we want the shaded region so it becomes   y> (x+6)(x-18)

      It is '>' because the shaded area DOES NOT INCLUDE the graph line (that is why it is a dashed line)

Answer:

Hello,

We don't need vw(x) !

\(w^{-1}(x)=\dfrac{x-1}{2}\)

Step-by-step explanation:

\(w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}\)

1,601,000 students were awarded a bachelor's degree in 2009.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The table shows the number of students who earned different academic degrees in the United States in 2009, broken down by gender.

The "Marginal Totals" row and column give the total number of students for each degree, regardless of gender.

To find out how many students were awarded a bachelor's degree in 2009, we need to look at the "Bachelor" column, which gives the number of students who earned a bachelor's degree broken down by gender.

We can see that the total number of students who earned a bachelor's degree, regardless of gender, is given in the "Marginal Totals" row under the "Bachelor" column, and is equal to 1,601,000.

Therefore, we can conclude that about 1,601,000 students were awarded a bachelor's degree in 2009.

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If Two high schools, A and B, are each trying to raise at least $3,000 for new computers. The inequality  for each school is : x ≥ 250, x ≥ 233.33.

1. For School A, the inequality representing the number of stuffed bears they must sell to reach their goal is:

500 + 10x ≥ 3000

10x ≥ 2500

x ≥ 250

Where:

x = number of stuffed bears they must sell.

For School B, the inequality representing the number of stuffed monkeys they must sell to reach their goal is:

1250 + 7.5x ≥ 3000

7.5x ≥ 1750

x ≥ 233.33

Where:

x= number of stuffed monkeys they must sell.

2. To compare the minimum number of stuffed animals each school must sell, we round up the number of stuffed animals for School B to the nearest whole number:

x ≥ 234 for School B

Since 234 > 250, School B must sell more stuffed animals to reach their goal of $3,000.

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Answer- 33

We are told that A=6, there for we can right out our equation fully.

(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first.  5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.

5a +3= 33 or (5x6) +3 = 33

Hope this helps! and GOOD LUCK.

Answer:

8π in

Step-by-step explanation:

The Area of a Circle is πr². In this case, we're given the area as 16π, so the radius is 4 because the square root of 16 is 4.

The Circumference of a Circle is 2πr. Since the radius is 4:

Therefore, the circumference is 8π inches.

Answer: the correct answer is D and E

Step-by-step explanation:

goal:tan^5x=tanx(sec²x-2sec²x+1)

proof: from l.h.s to r.h.s

tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))

from trigonometry identity

(tan²x)=sec²x-1

tan^5x=(tanx(sec²x-1)(sec²x-1))

=(tanx(sec^4x-sec²x-sec²x+1))

=(tanx(sec^4x-2sec²x+1))

proved

Answer:

17) B), E)

18) A)

Step-by-step explanation:

Hope this helps

Answer:

a

Step-by-step explanation:

120plus2 equals 240 then add 40 for every number on graph

Answer:

a

Step-by-step explanation:

The Steady-state gain can be found using the formula Kp = lim s->0 G(s).

A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).

B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.

First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).

To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.

Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.

Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).

Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).

Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).

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Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

Answer:

I can't be bbothered.....

Step-by-step explanation:

\(m = \frac{ - 1}{3} \)

"Correct me if I'm wrong"

Answer:

- 20 and 31

Step-by-step explanation:

Solve the given equations simultaneously to find x and y

2x + y = 23 → (1)

4x - y = 19 → (2)

Adding the 2 equations term by term will eliminate y

6x + 0 = 42

6x = 42 ( divide both sides by 6 )

x = 7

Substitute x = 7 into either of the 2 equations and solve for y

Substituting into (1)

2(7) + y = 23

14 + y = 23 ( subtract 14 from both sides )

y = 9

Then

x - 3y = 7 - 3(9) = 7 - 27 = - 20

5y - 2x = 5(9) - 2(7) = 45 - 14 = 31

Answer: False

Step-by-step explanation: Vertical angles are angles whose sides form two pairs of opposite rays.

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

Answer:

its 28 - 12

Step-by-step explanation:

so basically what u do is u multiply 4x7 and thats 28

and then u multiply 4x3 and thats 12

then when u subtract 28 - 12 u get 16

whiich would be the answer to the problem if u were to solve it

c) 84%

hope this helps :)

85% of take-home pay is spent on expenses option (D)85% is correct.

It is given that in the chart there are various expenses.

It is required to find the percentage of take-home pay is spent on expenses.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have a total take-home salary = $5388

Total expenses = $4558

In percentage it can be expressed as follows:

\(=\frac{4558}{5388}\times100\)

\(=0.84595\times100\\\\= 84.595 \ \%\)

or ≈ 85%  (round to nearest whole)

Thus, 85% of take-home pay is spent on expenses.

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The difference between the rates of gasoline usage for the two cars is 2.5 miles per gallon.

The slope or rate of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

Given that, the fuel usage foe the first car is described by the equation y=40x, where y is the distance traveled in miles and x is the  number of gallons of gasoline used.

We know that, the general form of equation of a line is y=mx+c, where m is slope or rate and c is y-intercept.

So, by comparing y=40x with y=mx+c, we get m=40

So, rate = 40 miles per gallon

The fuel usage for the second car is represented in the graph

Slope or rate = Rise/Run = 150/4

= 37.5 miles per gallon

Difference between the rates of gasoline is 40-37.5=2.5 miles per gallon

Therefore, the difference between the rates of gasoline usage for the two cars is 2.5 miles per gallon.

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i have now attached the picture but it can be wrong!