Express y²-16y+k as a perfect square.​

Answer:

x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28

Step-by-step explanation:

28 is the answerr

Answer: The answer is 120 degrees, mama

Step-by-step explanation:

(n-2)180

What i mean by n is the total amount of sides so in this case it would be 6. so the equation would look like (6-2)180.

6-2=4

(4)180

720

720/6

120 thats how you get the answer

Answer:

1,238.000

Step-by-step explanation:

Answer:

z = 3

Step-by-step explanation:

I hope this helps!

Answer:

X = 6.2m

Step-by-step explanation:

118 - 19x =

Answer:

the length would be 40

Step-by-step explanation:

step 1) multiply 19 for both short sides = 38

step 2) subtract from total perimiter = 80

step 3) 80 divided by 2 to calculate length/long side = 40

Answer:

y = -13.5

x = -10.5

Step-by-step explanation:

Hi there!

Let the two numbers be equal to x and y.

The difference of two numbers is 3 ⇒ x - y = 3

Their sum is - 24 ⇒ x + y = -24

Solve using elimination:

x - y = 3

x + y = -24

Add the two equations:

x + x - y + y = 3 - 24

2x = -21

x = -10.5

Solve for y:

-10.5 - y = 3

- y = 3 + 10.5

y = -13.5

I hope this helps!

Answer:

The total cost is 519

Step-by-step explanation:

22x12=264 and 22-5=17 so 17x15=255

264+255= 519

Answer:

c=20

Step-by-step explanation:

Use Pythagorean Theorem.

a squared plus b squared equals c squared.

12^2 + 16^2 = c^2

Now rearrange for c.

c = [tex]\sqrt{(12^2+16^2)}[/tex]

The answer is 20.

Answer:

the question is incomplete

Answer:

See below

Step-by-step explanation:

The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°

The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°

The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places

We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.

Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.

The null hypothesis is rejected since the p-value shows that it is unlikely to be true.

In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.

As per the given question, the required solution would be as:

A) Hypothesis test :

The null and alternative hypothesis is

Hi : u = 98.6

Ha : u < 98.6

B) Test statistic is t = -3.831

C) sample size, n= 31

degree of freedom,

df = n -1 = 31 - 1 = 30

P-value = p(t < -3.831 )

= 0.0003 (from t table)

d) P-value < 0.10, reject the null hypothesis.

is, support

As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.

Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.

To learn more about the hypothesis click here:

https://brainly.com/question/18064632

#SPJ2

Answer:

9261

Step-by-step explanation:

Substitute -3 for a and -12 for b in (a - 2b)^3:

(-3 - 2·-12)^3, or

(-3 + 24)^3, or

21^3 = 9261 (answer)

Answer:

x=u/k

Step-by-step explanation:

To get x, you would divide by k. Because its x times k. The oppisite is division. This gets you u/k=x

x is equal to u divided by k.

x=u/k

Answer:

  (x, y) = (1, 2)

Step-by-step explanation:

The method of elimination works best when the coefficient of a variable in one equation is equal or opposite the coefficient of the same variable in the other equation.

Here, we notice that all of the coefficients of the second equation are multiples of 2. When we divide that equation by 2, we get ...

  x -y = -1

This equation has a y-coefficient that is the opposite of the y-coefficient in the first equation. We can eliminate the y-variable by adding these equations together.

  (3x +y) +(x -y) = (5) +(-1)

  4x = 4 . . . . . . . simplify. Notice the y-variable has been eliminated.

  x = 1 . . . . . . . . divide by 4

Using this value of x in the second equation, it tells us ...

  1 -y = -1

Adding y+1 to both sides of this equation gives ...

  2 = y

The solution to the system of equations is (x, y) = (1, 2).

__

The graphing calculator confirms this solution.

Answer:   [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

===================================================

Work Shown:

[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]

We want to graph the linear function that models how much Maggie saves, the graph can be seen below.

So we know that maggie starts with $30, and she saves another $30 per week, then after x weeks, the total amount that she has saved is:

S(x) = $30 + $30*x

Now we have the function, to graph it, we just need to get two points of the function and then connect them with a line, to get these points, we just evaluate the function in two different values of x:

S(0) = $30 + $30*0 = $30

S(1) = $30 + $30*1 = $60

So we have the points (0, $30), (1, $60).

Now we just need to graph these points and connect them with a line, the graph can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/20853486

Answer:

(0,30) and (1,70)

Step-by-step explanation:

I took the quiz in USATestprep.

Answer:

The final cost after the discount and tax is $179.76

Step-by-step explanation:

Since the discount is 30%, she only pays 70% of the price of the ticket.

Discounted price before tax:

70% of $240 = 0.7 × $240 = $168

Now think of the price $168 as a new price.

The price is $168 which is 100% of the price. Tax is 7% of the price, so you must pay 107% of the price.

107% of $168 = 1.07 × $168 = $179.76

Answer: The final cost after the discount and tax is $179.76

Answer:

Mike's sisters age is 5 years old

Step-by-step explanation:

Since Mike is 17 years old, he is six years older than 2 times her age, so we subtract 6 from his age; we get 11 since he is 2 times her age divide 11 by 2 = 5.5. That means that his sister is 5 years old

Answer:

i only have 1

Step-by-step explanation:

Answer: Ok

Step-by-step explanation:

Answer:

C. y = 1/4 x - 3

Step-by-step explanation:

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

Answer: The constant rate change would be [tex]\frac{1}{9}[/tex].

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]

Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20

Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].

Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].

Lastly plug in all the components.

[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]

After solving all this the answer would be [tex]\frac{1}{9}[/tex]

Answer:

9. x=102

10. x=56

11. x=104

12. x=138

Step-by-step explanation:

9.  In this problem, they are alternate exterior angles, meaning they are the same value.  x=102

10.  x is a corresponding angle, meaning they are the same. x=56

11. There are consecutive interior angles. The sum of these two angles is 180. to find x, subtract 76 from 180.  180-76 = 104  x = 104

12. These two angles are verticle angles, meaning they are equivalent. x = 138

Answer:

10 times

Step-by-step explanation:

The 8 in 1,857 is in the hundreds place and the 8 in 3,083 is in the tens place.

Answer:

50 square feet

Step-by-step explanation:

Length x width

Answer:

50

Step-by-step explanation:

10 times 5 = 50

Answer:

C.            

Step-by-step explanation:

It is correct because the line on the graph goes up (increases) then it goes back down (decreases)

Answer:

The graph increases, then decreases

Step-by-step explanation:

The graph goes up, showing it increases, then drops down, showing it decreases.

Hope this helps!

Answer:

To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...

Step-by-step explanation:

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

Answer:

Option D

Hope this helps!

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Explanation:

First we'll need the length of segment BD, which I'll call x for now. The similar triangles allow us to set up the proportion below to solve for x

AD/BD = BD/DC

13/x = x/4

13*4 = x^2

52 = x^2

x^2 = 52

x = sqrt(52)

Segment BD is exactly sqrt(52) units long.

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

Now focus your attention on triangle BDC. We'll use the pythagorean theorem to find BC

(BD)^2 + (DC)^2 = (BC)^2

( sqrt(52) )^2 + ( 4 )^2 = ( m )^2

52 + 16 = m^2

68 = m^2

m^2 = 68

m = sqrt(68)

m = 8.2462 approximately

m = 8.2