please help asap!

a. if the input is -8, what is the output?

b. if the output was 21, what was the input?

Answer:

Step-by-step explanation:

1). x² - 10x + a²

  By using the formula of (a - b)² = a² - 2ab + b²

  x² - 2(5)x + a²

  Therefore, for a perfect square of the expression a should be equal to 5.

  Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

  = x² + 2(a)x + 6²

  For a perfect square of the given expression value of a should be 6.

   x² + 2(a)x + 6² = x² + 2(6)x + 6²

                           = (x + 6)²

  Therefore, x² + 12x + 36 will be the answer.

3). [tex]x^{2}+\frac{1}{2}x+a^2[/tex]

    [tex]x^{2}+2(\frac{1}{4})x+a^2[/tex]

   To make this expression a perfect square,

   a² = [tex](\frac{1}{4})^2[/tex]

   [tex]x^{2}+2(\frac{1}{4})x+(\frac{1}{4})^2[/tex] = [tex](x+\frac{1}{4})^2[/tex]

  Therefore, the missing number will be [tex]\frac{1}{16}[/tex].

Answer:

it's 1/16 you're welcome!

Step-by-step explanation:

Answer:

19.375 m.

Step-by-step explanation:

Before the first bounce it has travelled 10 meters.

Then after just hitting the ground the second time it has travelled 10 +1/2(10) = 15 m.

The common ratio is 0.5 and we want the sum of  5 terms

= a1  (1 - r^n) / (1 - r)

= 10 * (1 - 0.5^5) / (1 - 0.5)

= 19.375 m.

Answer:

f(-3)= -3

Step-by-step explanation:

We are given the function:

f(x) = 2x+3

and asked to find f(-3). Essentially, we want to find f(x) when x is equal to -3.

Therefore, we can substitute -3 for each x in the function.

f(x)= 2x+3 at x= -3

f(-3)= 2(-3) +3

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction

Multiply 2 and -3.

f(-3) = (2*-3) +3

f(-3)= (-6)+3

Add -6 and 3.

f(-3)= (-6+3)

f(-3)= -3

If f(x)= 2x+3, then f(-3)= -3

Answer:

0.04

Step-by-step explanation:

[tex] \dfrac{6300~L}{8.5~month} \times \dfrac{1000~cm^3}{1~Liter} \times \dfrac{1~ft^3}{(30.48~cm)^3} \times \dfrac{12~months}{1~year} \times \dfrac{1~year}{365.25~days} \times \dfrac{1~day}{24~hours} \times \dfrac{1~day}{24~hours} = [/tex]

[tex]= 0.04 \dfrac{ft^3}{hour}[/tex]

The value of the flow rate in cubic feet per hour is 0.04.

The rate of the flow of the fluid is defined as the volume of the fluid flowing through the cross-section per unit of time. The unit of the flow rate is cubic feet per hour or cubic meter per hour etc.

Given that water flows through a pipe at a rate of 6300 liters every 8.5 months. Then the flow rate in cubic feet per hour will be calculated as below:-

1 litre = 0.0353 cubic feet

6300 litres = 6300 x 0.0353

6300 litres = 222.4 cubic feet

1 month = 730 hours

8.5 months = 6205 hours

The rate of flow in cubic per hour will be:-

Rate of flow = 222.4 / 6205 = 0.04 cubic feet per hour

Therefore, the value of the flow rate in cubic feet per hour is 0.04.

To know more about the rate of flow follow

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Answer:

No.

Step-by-step explanation:

High school GPA is not a significant predictor of University GPA.

The Grade Point Average obtained at the end of high school education has almost nothing (in my opinion, it has nothing to do with) to do with grades that the scholar will obtain in college. Many scholars find it difficult adjusting to the social and academic life demands of tertiary institution.

A good predictor for university Grade Point Average would be:

The CGPA (Cumulative Grade Point Average) obtained by the student(s) in each year/session/level/part in the university.

This will be a significant predictor for university GPA.

Answer:

[tex]\frac{3}{4}[/tex], [tex]\frac{30}{40}[/tex], [tex]\frac{45}{60}[/tex], [tex]\frac{60}{80}[/tex]....e.t.c are all equivalent fractions

Step-by-step explanation:

For the answer you need to know bout equivalent fractions

TO find equivalent fractions you have to multiply the numerator and denominator by the same amount

E.x.[tex]\frac{15}{20}=\frac{(15)(2)}{(20)(2)} =\frac{30}{40}[/tex]

Therefore [tex]\frac{30}{40}[/tex] is an equivalent fraction

Answer:

[tex] y = 178.3 ft [/tex]

Step-by-step explanation:

y is opposite to the reference angle, 27°.

350 ft is adjacent to the reference angle, therefore:

[tex] tan(27) = \frac{y}{350} [/tex]

Multiply both sides by 350

[tex] tan(27)*350 = \frac{y}{350}*350 [/tex]

[tex] tan(27)*350 = y [/tex]

[tex] 178.3 = y [/tex] (to nearest tenth)

[tex] y = 178.3 ft [/tex]

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[tex]y= [-7-6][/tex]

[tex]y = -13[/tex]

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Have a great day/night!

❀*May*❀

Answer:

1

Step-by-step explanation:

.25 is already a rational number as it equals 25/100 and 1/4 simplified

Answer:

AB = 10.77 units

Step-by-step explanation:

If the extreme ends of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2, y_2)[/tex].

Then the length of the segment joining these extreme ends will be,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

If the extreme ends of the line segment AB are A(-3, 1) and (7, 5).

Measure of AB = [tex]\sqrt{(7+3)^2+(5-1)^2}[/tex]

AB = [tex]\sqrt{100+16}[/tex]

AB = [tex]\sqrt{116}[/tex]

AB = 10.77 units

Therefore, length of the segment AB will be 10.77 units.

Answer:

Complementary angles add up to 90 degrees, or a right angle.

In this case, it would be (c) AEF and FED, AEG and CEG

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

You can attack this several ways. One is to work through f(g(x)) in each case and see if the result is x.

Another is to use a graphing calculator to evaluate y=f(g(x)) to see if the result is the line y=x.

Yet another way to work this is to pick a convenient value for x and evaluate f(g(x)) or g(f(x)). Here, we'll show this last case.

  A: f(1) = 2^0 +1 = 2; g(2) = log2(2-1) -1 = -1 . . . . g(f(1)) = -1, not 1 ⇒ not inverses

  B: f(2) = 1/2(ln(1) -1) = -1/2; g(-1/2) = 2e^(0) = 2 . . . g(f(2)) = 2 ⇒ inverses

  C: f(e) = 4ln(e^2)/e^2 = 8/e^2; g(8/e^2) = e^1 = e . . . g(f(e)) = e ⇒ inverses

  D: f(10) = 10^0-10 = -9; g(-9) = log(1) -10 = -10 . . . g(f(10)) = -10, not 10

      ⇒ not inverses

_____

The second and third pairs of functions are inverses.

Complete  Question

The complete question is shown on the first uploaded image

Answer:

The standard deviation is  [tex]\sigma = 1.17[/tex]      

Step-by-step explanation:

From the question we are told that

   The data is  

 x          1  2  3        4

P(X = x)    0.2 0.2 0.2   0.4  

 Generally the standard deviation is mathematically represented as

           [tex]\sigma = \sqrt{ \sum x^2 P(x) - (\sum x P(x))^2 }[/tex]

Here    [tex]x^2 = 1^2 \ \ 2^2 \ \ 3 ^2 \ \ 4^2[/tex]

    =>     [tex]x^2 = 1 \ \ 4 \ \ 9\ 16 \[/tex]

      [tex]\sum x^2 * P(x) = (1 * 0.2) + (4 * 0.2 ) + (9 * 0.2 ) + (16 * 0.2 )[/tex]

     [tex]\sum x^2 * P(x) = 9.4[/tex]

      [tex]\sum x P(x) = (1 *0.2) + (2*0.2) + (3 * 0.2) + (4 * 0.2)[/tex]

     [tex]\sum x P(x) = 2.8[/tex]

So  

    [tex]\sigma = \sqrt{ 9.2 - (2.8)^2 }[/tex]            

    [tex]\sigma = 1.17[/tex]        

Answer/Step-by-step explanation:

Given:

Data set for sandwich calories=> 242, 290, 290, 280, 390, 350

Mean: the mean is given as sum of all values in the data set ÷ total no. of data set given

[tex] \frac{242 + 290 + 290 + 280 + 390 + 350}{6} = \frac{1,842}{6} = 307 [/tex]

Mean Absolute Value:

Step 1: find the absolute value of the difference between each value and the mean

|242 - 307| = 65

|290 - 307| = 17

|290 - 307| = 17

|280 - 307| = 27

|390 - 307| = 83

|350 - 307| = 43

Step 2: find the sum of all values gotten in step 1

65 + 17 + 17 + 27 + 83 + 43 = 252

Step 3: divide the result you get in step 2 by 6 to get the M.A.D

[tex] M.A.D = \frac{252}{6} = 42 [/tex]

The Mean Absolute Value represents or gives us an idea how spread the data set for the number of sandwich calories are.

Thus, averagely, the number of calories of sandwich at the restaurant are far from the mean caloric value by 42 calories.

Answer:

45

Step-by-step explanation:

Answer: 45

Step-by-step explanation: Parentheses first.

10-1=9. Next is multiplication. 5(9)=45.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ {60.2 \: m}}}}}}[/tex]

Step-by-step explanation:

Given,

Area of rectangular piece of land ( l ) = 220 m²

Width ( w ) = 12.5 m

Finding length of the rectangular piece of land

[tex] \boxed{ \sf{area \: of \: rectangle = l \times w}}[/tex]

plug the values

⇒[tex] \sf{220 = l \times 12.5}[/tex]

Swap the sides of the equation

⇒[tex] \sf{12.5 \: l = 220}[/tex]

Divide both sides of the equation by 12.5

⇒[tex] \sf{ \frac{12.5 \: l}{12.5} = \frac{220}{12.5} }[/tex]

Calculate

⇒[tex] \sf{l = 17.6 \: m}[/tex]

Length of rectangular piece of land ( l )= 17.6 m

Finding perimeter of rectangular piece of land

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + b)}}[/tex]

plug the values of length and breadth

⇒[tex] \sf{2(17.6 + 12.5) }[/tex]

Add the numbers

⇒[tex] \sf{2 \times 30.1}[/tex]

Multiply the numbers

⇒[tex] \sf{60.2 \: m}[/tex]

Therefore, Perimeter of rectangular piece of land is 60.2 m

Hope I helped!

Best regards!!

Answer:

It would be 81

Step-by-step explanation:

[tex]9^{2}[/tex] is the same as 9 times 9. And 9 times 9 is 81.

Answer:

2⁹ = 512

Step-by-step explanation:

2⁹ = 2*2*2*2*2*2*2*2*2 = 512

Answer:

Hey there!

This circle would have a center at (-4, -3) and a radius of 1.

Let me know if this helps :)

Answer:

3/8, 5/8, 3/4, 7/8, 4/3

Step-by-step explanation:

Answer:

5 + 2 x 9

Step 1 = 7 x 9

Step 2 = 63

Step-by-step explanation:

= 5 + 2 x 9

= 5 + ( 2 x 9 )

= 5 + 18

= 23

Step 2 = 7 x 9

= 63

Step 3 = 63

C. jin did not make a mistake

Sorry i'm wrong :)

Answer:

2/15

Step-by-step explanation:

given that the triple integral = ∫∫∫ 8x^2 dv

and T is the solid tetrahedron with vertices :  (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1)

hence the equation of the plane: x + y + z = 1

T [ (X,Y,Z) : 0≤x≤1, 0≤y≤1-x, 0≤z≤1-x-y ]

attached below is the detailed solution ( we multiply our answer after evaluation with the coefficient of  8 as attached to the initial expresssion)

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

Given :

The triple integral ∭ 8x^2 dV, where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1).

The following calculation can be used to evaluate the triple integral:

[tex]\rm I = \int\int\int 8x^2dV[/tex]

T[(x,y,z) : [tex]0 \leq x \leq 1[/tex] ; [tex]0 \leq y \leq 1-x[/tex] ; [tex]0 \leq z \leq 1-x-y[/tex] ]

Now put the limits in the above integral.

[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0\int\limits^{1-x-y}_0 {8x^2} \, dz \, dy \, dx[/tex]

[tex]\rm I = \int\limits^1_0\int\limits^{1-x}_0 {8x^2} (1-x-y) \, dy \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0\int\limits^{1-x}_0 {x^2-x^3-x^2y} \, dy \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0 {x^2(1-x)-x^3(1-x)-x^2\dfrac{(1-x)^2}{2}} \, dx[/tex]

[tex]\rm I = 8 \int\limits^1_0 {x^2-x^3-x^3+x^4-x^2\dfrac{(1+x^2-2x)}{2}} \, dx[/tex]

[tex]\rm I = 4\left( \int\limits^1_0 {2x^2-4x^3+2x^4-x^2-x^4+2x^3} \, dx\right)[/tex]

[tex]\rm I = 4\left( \int\limits^1_0 {x^2+x^4-2x^3} \, dx\right)[/tex]

[tex]\rm I = 4\left( {\dfrac{x^3}{3}+\dfrac{x^5}{5}-\dfrac{x^4}{2}} \right)^1_0[/tex]

[tex]\rm I = 4\left( {\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{2}} \right)[/tex]

[tex]\rm I = \dfrac{2}{15}[/tex]

By evaluating the triple integral where T is the solid tetrahedron with verticies (0, 0, 0), (1, 0, 0), (0, 1, 0), and (0, 0, 1) the value calculated is 2/15.

For more information, refer to the link given below:

https://brainly.com/question/24308099

Answer:

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Step-by-step explanation:

If i have interpreted correct. You want to know a fraction with a denonminator of 8 that is less than 5/6

5/6=0.8333

Multiple Answers

1/8, 2/8, 3/8, 4/8, 5/8, 6/8

Answer:

That would equal 36

Step-by-step explanation:

i added them up

Answer:

Slope= -4/3

Step-by-step explanation:

The points are (−3,−3) and (-9, 5)

Slope= gradient between the two points

Slope= (y2-y1)/(x2-x1)

Where y2= 5

Y1= -3

X2= -9

X1= -3

Slope= (y2-y1)/(x2-x1)

Slope= (5-(-3))/(-9-(-3))

Slope= (5+3)/(-9+3)

Slope= 8/-6

Slope= -4/3

Greetings,

I hope you and your family are staying safe and healthy!

Answer: $4.12 per hour

Step-by-step explanation:

So, 9am to 4pm is 7 hours

Why? Because you go from 10am, 11am, 12pm, 1pm, 2pm, 3pm, and 4pm.

So now all we have to do is to divide the amount he paid by the number of hours.

Like this:

[tex]\frac{28.84}{7} = 4.12[/tex]

Therefore,

The rental cost per hour is $4.12

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

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Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

[tex]f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx[/tex]

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

Answer:

X+Y=8W^2-7W+7

Step-by-step explanation:

HEY,... HERES YOUR ANSWER ! I HOPE I HELPED! BRAINLIEST WOULD BE APPRECIATED :)

THE QUESTION-->

X=7W^2+4W-6

Y=W^2-11W+13

X+Y=?

THE EXPLANATION-->

SO LETS JUST ADD BOTH EQUATIONS!

SO...

X+Y=7W^2+4W-6+W^2-11W+13

SIMPLIFY LIKE TERMS..

7W^2+W^2+4W-11W-6+13

SIMPLIFY EVEN FURTHER..

X+Y=8W^2-7W+7

THE ANSWER-->

X+Y=8W^2-7W+7

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                   PEACE!

Answer:

The slope becomes 0.5625 and y intercept becomes 12.5.

$65.9375

Step-by-step explanation:

Given that

the total reimbursement function in terms of [tex]m[/tex] miles:

[tex]f(x) = 0.45m +5[/tex]

After the policy change, 5 more dollars are added and then total amount is multiplied by 1.25.

To find:

How to transform the graph of f.

Total reimbursement for a trip of 95 miles?

Solution:

[tex]f(x) = 0.45m +5[/tex] can also be written as:

[tex]y = 0.45m +5[/tex]

It is nothing but slope intercept form, comparing with [tex]Y = M X+ C[/tex]

M is the slope and C is the y intercept.

Slope of the graph is 0.45.

Y intercept is 5.

After change in the function, first of all add $5.

[tex]0.45m + 5+5 = 0.45m+10[/tex]

Now, multiply with 1.25

Resulting function becomes:

[tex]f(x) =1.25\times (0.45m+10)\\\Rightarrow f(x) =0.5625m+12.5[/tex]

Kindly refer to the attached image for the graph of the two functions.

Now, the slope becomes 0.5625 and y intercept becomes 12.5. This is the transformation.

To find the reimbursement for a trip of 95 miles:

Put m = 95

[tex]f(95) =0.5625\times 95+12.5 = \bold{\$65.9375 }[/tex]