which equation is equivalent to the given equation? x^2+16x=22



a. (x+8)^2=86
b. (x+8)^2=38
c. (x+16)^2= 278
d. (x+4)^2= 22

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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:

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:

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:

  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.

Answer:

1

Step-by-step explanation:

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

Answer:

[tex]\huge\boxed{\text{next term}=4}\\\boxed{f(n)=4^{n-4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{1}{64},\ \dfrac{1}{16},\ \dfrac{1}{4},\ 1,\ ...[/tex]

It's the geometric sequence where

[tex]a_1=\dfrac{1}{64},\ q=4[/tex]

[tex]\dfrac{1}{16}=\dfrac{1}{64}\cdot4\\\\\dfrac{1}{4}=\dfrac{1}{16}\cdot4\\\\1=\dfrac{1}{4}\cdot4\\\\1\cdot4=4\to\text{next term}[/tex]

[tex]f(n)=\dfrac{1}{64}\cdot4^{n-1}=\dfrac{1}{4^3}\cdot4^{n-1}=\dfrac{4^{n-1}}{4^3}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\f(n)=4^{n-1-3}=4^{n-4}[/tex]

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]

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:

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:

45

Step-by-step explanation:

Answer: 45

Step-by-step explanation: Parentheses first.

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

Answer:  3x-180

Step-by-step explanation:

Given: Expression for Revenue = [tex]5x^2 + 2x - 80[/tex]

Expression for Cost = [tex]5x^2- x + 100[/tex]

If profit is the difference between the revenue and the cost then the expression for profit will be:

Profit = Revenue - cost

[tex]=5x^2 + 2x - 80-(5x^2- x + 100)\\\\=5x^2 + 2x - 80-5x^2+x-100\ \ [\text{Multiply ' - ' sign inside the bracket}]\\\\=2x+x-80-100\\\\=3x-180[/tex]

Hence, the expression represents the profit is 3x-180 .

Answer:

its 3x-180 and for the seond one its $2,820

Step-by-step explanation:

got it right on edge

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:

[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]

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:

[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:

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:

d

Step-by-step explanation:

im pretty sure the right answer would be 12 and 21 just doesn't look right

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:

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:

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.

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:

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

Answer:

504  

Step-by-step explanation:

I think the correct question is like:The common ratio in a geometric series is 0.50 ( point 5) and the first term is 256.  

Find the sum of the first 6 terms in the series.

If it's right, then

Sₙ = (a₁ × (1 - rⁿ)) / (1 - r)

S₆ = (256 × ( 1 - 0.5⁶)) / (1 - 0.5)

= (256 × 0.984375) / 0.5

= 504

hope it will help :)

Answer:

It will take Clara more than  

16

weeks and up to and including  

32

weeks to grow out her hair.

Answer:

It will take Clara more than 16 weeks and up to and including 32 weeks to grow out her hair.

Step-by-step explanation:

Answer:

That would equal 36

Step-by-step explanation:

i added them up

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:

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

https://brainly.com/question/21630019

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