50 POINTS!

The function h(x) = x2 + 6x + 7 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work.

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know?

Part C: Determine the axis of symmetry for h(x).

There are 154,440 different ways for the names of the top 5 participants to be listed on the leaderboard.

To determine the number of ways the names can be listed for the top 5 participants on the leader board, you can use the concept of permutations. The formula for permutations is:

[tex]\[ P(n, r) = \frac{n!}{(n - r)!} \][/tex]

where [tex]\( n \)[/tex] is the total number of items and [tex]\( r \)[/tex] is the number of items to be selected.

In this case, you have 13 participants, and you want to select and order the top 5 participants. So, the formula becomes:

[tex]\[ P(13, 5) = \frac{13!}{(13 - 5)!} \][/tex]

Now, calculate the permutations:

[tex]\[ P(13, 5) = \frac{13!}{8!} \][/tex]

[tex]\[ P(13, 5) = \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8!}{8!} \][/tex]

[tex]\[ P(13, 5) = 13 \times 12 \times 11 \times 10 \times 9 \][/tex]

Now, calculate the result:

[tex]\[ P(13, 5) = 154,440 \][/tex]

So, there are 154,440 different ways for the names of the top 5 participants to be listed on the leader board.

Answer:

с. 60

Step-by-step explanation:

This is an equilateral triangle since all the sides are the same.

That means all the angles are the same.

The sum of the angles is 180

There are 3 angles

180/3 = 60

Each angle is 60 degrees

Answer:

3625

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Pythagorean theorem

a²+b²=c²

a²+35²=37²

a²+1225=1369

manipulate the equation

1225-1369=-a²

-144=-a²

√-144=12

a=12

Answer:

11 ft

Step-by-step explanation:

The equation for the volume of a cone is:

V = 1/3(3.14)r^2h

V = 414.48

r = 6

Plug in those values and solve for h:

414.48 = 1/3(3.14)(6)^2h

414.48 = 37.68h ; divide both sides by 37.68

11 = h

The missing height is 11ft.

So the right answer is of option A.

Look at the attached picture ⤴

Hope it will help u...

Answer: The 4 correct answers are A,C,D, and E.

Answer:

4 fluid ounces

Step-by-step explanation:

question is worded a little weird

Answer:

The average force applied to the baseball is 8.25kN

Step-by-step explanation:

This problem bothers on the impulse of a force

We know that the change in momentum is expressed as

Ft= mv-mu

Given

Ft=16.5 kg-ms

Time t of impact =0.00200s

The force applied can be solved for

By making F subject of formula

F= (mv-mu)/t

F=16.5/0.002

F= 8250N

F= 8.25kN

Final answer:

The average force applied to the baseball is calculated to be 8250 Newtons, based on the given change in momentum of 16.5 kg-ms and the time of impact of 0.00200 seconds.

Explanation:

The student is asking how to calculate the average force applied to a baseball during collision with a bat, given that the baseball's change in momentum (impulse) is 16.5 kg-ms and the time of impact is 0.00200 seconds.

To find the average force (Favg), we can use the formula derived from Newton's second law, which relates force, change in momentum (impulse), and time:

Favg = \\Delta p / t

Where:

Plugging in the values we have:

Favg = 16.5 kg-ms / 0.00200 s

Doing the calculation:

Favg = 8250 N

Therefore, the average force applied to the baseball is 8250 Newtons.

Answer:

-1

Step-by-step explanation:

real numbers stars from zero

eg. 01234567....

Answer:

2. Denote two pieces: x, y

x + y = 40

x = 2y + 10

=> 2y + 10 + y = 40 => 3y = 30 => y = 10 => x = 2 x 10 + 10 = 30

=> Solution: 10 and 30

3. Denote 4 consecutive number: 2k, 2k+2, 2k+4, 2k+6

(2k + 2k + 4) x 2 + 20 = 2 x (2k + 6)

=> 8k + 28 = 4k + 12

=> 4k = -16

=> k = -4

=> Solution: -8, -6, -4, -2

4. The number of shoppers after announcement :

N = 320 x 150/100 = 480

Hope this helps!

:)

Answer:

.0099

Step-by-step explanation:

right answer

The proportion of exam scores are between 82 and 89.2 points is 0.3330.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Given:

mean = 87 points and

standard deviation = 8 points.

Now, using

Z= [tex]x- \mu / \sigma[/tex]

z= 104.6 - 87 / 8

z= 2.2

again, Z= [tex]x- \mu / \sigma[/tex]

z= 108.2- 87 / 8

z= 2.65

So, the proportion is

P(x<108.20)-P(x<104.60)

=P(Z<2.65)-P(Z<2.2)

= 0.9960-0.9861

=0.0099

Learn more about standard deviation here:

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Answer:

10.4

Step-by-step explanation:

Answer:

2.8

Step-by-step explanation:

the formula of volume of cylinder is pi*r^2*h. if you plug in, you get (3.14)(r^2)(8.7). if you solve for r, you get 2.8!

Answer:

SR

Step-by-step explanation:

The distance around the window is 92.52 inches.

A semicircle is a one-dimensional locus of points that forms half of a circle. It is a circular arc that measures 180°. It has only one line of symmetry.

Given that, The stained-glass window is semicircular and the bottom edge of the window is 36 in.

We get that, diameter of the window = 36 in

radius = 18 in

Circumference of semicircle = r(2+π)

= 18(2+3.14)

= 92.52 in

Hence, The distance around the window is 92.52 inches.

For more references on semicircle, click;

https://brainly.com/question/30023569

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Answer:

[tex]-3m^{12}{n^{6} }[/tex]

Step-by-step explanation:

To begin simplifying this, we can first divide the coefficients, giving us:

[tex]\frac{-3m^{5}n^{4} }{m^{-7} n^{-2} }[/tex]

We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

[tex]\frac{-3m^{5+7} n^{4+2} }{1}[/tex]

Now, simplifying this gets:

[tex]-3m^{12}{n^{6} }[/tex]

The measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

In the diagram below, DE and EF are tangent to O.

Let x be the measure of arc DF.

The complete revolution around the center = 360 degree

Major arc + Minor arc = 360

274 + x = 360

x = 86 degrees

Thus, the measure of the arc DF is 86 degrees if the measure of the major arc is 274 degrees option (D) is correct.

Learn more about circle here:

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Answer:

86

Step-by-step explanation:

Just took the quiz

Answer:

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

Answer:

C.   $176.000

Step-by-step explanation:

Linear regression requires sufficient data points for analysis, which are not provided, making it impossible to calculate an estimated price for a 1700 ft2 home without additional information.

To estimate a fair price for a 1700 ft2 home using linear regression, we would require more data points with corresponding house prices to create a regression model. Since we're not provided with sufficient data in the question, and there's no explicitly provided regression equation or coefficients, it's not possible to accurately calculate the estimated price for a home of a given square footage using linear regression. However, if we had such data, we would typically plot square footage on the x-axis and house price on the y-axis, calculate the slope and intercept coefficients of the regression line, and then use the regression equation y = mx + b (where y is the estimated house price, m is the slope, x is the square footage, and b is the y-intercept) to predict the price of the house with given square footage

Answer:

2.376 b

Step-by-step explanation:

Answer:

b. 2.376 square feet

Step-by-step explanation:

In the figure attached, the prism is shown.

Area of the bottom rectangle: 40*24 = 960 square feet

Area of the two side rectangles: 2*40*15 = 1200 square feet

Area of the two triangles: 2*24*9/2 = 216 square feet

Surface area of the triangular prism = 960 + 1200 + 216 = 2376 square feet

Answer:

|x - 8| = y + 6

Step-by-step explanation:

The vertex of the equation must be somewhere on the line x = 8, because it is the average of the answers.

If the slope of x is 1, then the vertex is (8, -6)

Plug that into the equation and you get  Ix - 8I = y + 6

Answer:

lx-8l=6

RSM said It was right

Step-by-step explanation:

Answer: [tex]1272cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2\frac{h}{3}\\ V=(3.14)(9)^2(\frac{15}{3} )\\V=(3.14)(81)(5)\\V=1271.70cm^3\\V=1272cm^3[/tex]

Answer:

1). 1 decade

2). 2 decades

Step-by-step explanation:

Number of years in decade = 10 years

1). When we are calculating the population of Florida between 1840 to 1850,

Number of years between 1850 and 1840 = 1850 - 1840

                                                                      = 10 years

So number of decades between 1840 and 1850 = [tex]\frac{10}{10}[/tex] = 1 decade

2). Number of years between 1840 and 1860 = 1860 - 1840

                                                                           = 20 years

Therefore, number of decades between this gap = [tex]\frac{20}{10}=2[/tex] decades

Answer:

Thus, the surface area equals S(r)=πr2+2πrl+πr54r=πr2(1+54)+2πr(14r2−r4)=94πr2+28πr−π2r2=74πr2+28πr.Jul 15, 2016

Step-by-step explanation:

Answer:

The answer is 3 * 5 * 4

Step-by-step explanation: It's because volume is length times width times height so you would have to multiply all three numbers.

Answer:

8

Step-by-step explanation:

Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.

If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.

then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.

and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then

x + y + z  = 17

5x + 4y + 5z = 77

Multiplying the first equation by 5,

5x + 5y + 5z = 85

5x + 4y + 5z = 77

subtract 2 from 1

y = 8

Answer:

irrational :)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

14^2 + 6^2 = H^2

196 + 36 = H^2

232 = H^2

*Square root both sides*

About 15 = H

Also: H means hypotheses