help me!! show work pls

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

[tex]y= -x^2 + 2x + 3[/tex]

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]

[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]

The maximum height of the diver is therefore 4 meters.

Answer:

20.4

Step-by-step explanation:

Answer:

y=2x

Step-by-step explanation:

Y=kx

12=k6

12 divided by 6 to get 2

and 2=k

Answer:

I'm glad you asked!

Step-by-step explanation:

The probability would be 0.3333 .When we convert it into a number we get 26 or 13.

Answer:

DBA =110 degree

Step-by-step explanation:

angle DBA is central angle

central angle = arc angle = 110 degree

Answer:110

Step-by-step explanation:

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls.  3 are selected.  There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

Answer:

12/13

Step-by-step explanation:

There are 52 cards in the deck

4 are aces

That leaves 52-4  or 48 that are not aces

P(not an aces) = cards that are not aces / total

                        = 48/52

                       =12/13

Answer:

[tex] \frac{12}{13} [/tex]

Answer D is correct

Step-by-step explanation:

[tex]there \: \: \: are = 52 \: \: cards \\ aces \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \: \: cards \\ not \: aces \: \: \: \: \: = 52 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 48 \\ p \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{48}{52} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{13} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

Step-by-step explanation:

Number of students 10

Problem 1. $625 for the bus hire per friday, So 625*4=$2500

Problem 2. 2500/25=$100 each for the whole 4 weeks

Problem 3.

10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each

20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each

30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each

41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each

Hope this is correct

Answer:

x+11.5

Step-by-step explanation:

4x² +7x-2=0

16x+7x-2=0

23x-2=0

      +2  +2

23x=2

23x/2

x= 11.5

I hope these help.

Answer:

12 inches

Step-by-step explanation:

2(3.14)r=75

r = 11.94 ~ 12 inches

Answer:

The answer is A

Step-by-step explanation:

Answer:

5076.

Step-by-step explanation:

Let x be the number enrolled, then:

x - 1/9 x = 4512

8/9x = 4512

x = 4512 * 9/8

x = 5076.

Answer:

- The histogram of this distribution is presented in the attached image to this answer.

- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17

Step-by-step explanation:

To create an histogram, we need to properly present the right solutions to angry mob.

The number of clubs per package is presented as thus

48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50

In an organized home, the data is reset to the number of clubs per passport and corresponding video is done

x | f

47 | 1

48 | 3

49 | 4

50 | 4

51 | 3

52 | 3

53 | 2

The histogram of this distribution is presented in the attached image to this answer.

-  The number of packages that contain between 48 and 52 clips (inclusive) per package

From the data table, it is evidently 3+4+4+3+3 = 17

Hope this Helps!!!

Answer:

Step-by-step explanation:

Answer:

6 meters per 1 second or 6m/s

Step-by-step explanation:

slope is rise/run or change in y/change in x

in this case y=30, x=5 so slope = 30/5= 6

Answer: y=2/5x - 4

Step-by-step explanation:

Answer:

Factor [tex]12a + 6b : 6(2a + b)[/tex]

Step-by-step explanation:

[tex]12a+6b[/tex]

Rewrite [tex]12[/tex] as [tex]2 * 6[/tex]:

[tex]=2\cdot \:6a+6b[/tex]

Factor out common term [tex]6[/tex]:

[tex]=6\left(2a+b\right)[/tex]

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, Have a good day! =)

Answer:

4 mm

Step-by-step explanation:

The radius is half the diameter, so in this case the radius of each button is 4 mm.

Answer:

The radius would be 4 millimetres

Step-by-step explanation:

The radius is the length from one side to the centre of the circle.

The diameter is the length from one side to another.

To work out the radius you would simply divide the diameter of 8 by 2, this gives you 4 millimetres. This is because the radius is half of the diameter.

1) Divide 8 by 2.

[tex]8/2=4 mm[/tex]

Answer:

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Step-by-step explanation:

(x - a)^2 + b = x^2 - 2ax + a^2 + b

equate to your quadratic :

x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)

equating coefficients (ignoring x^2 as the coefficient is 1 for both)

for x :

-5 = -2a --> a = 5/2

for x^(0) : 8 = a^2 + b , note a = 5/2

thus,

8 = (5/2)^2 + b

8 = 25/4 + b

b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4

hence a = 5/2 , b = 7/4

thus,

x^2 - 5x + 8 = (x - 5/2)^2 + 7/4

Answer:

The answer is -2 & 3

Step-by-step explanation:

Answer:

Correct option: D) 1/2

Step-by-step explanation:

First we need to find the area of the kite and the area of the rectangle.

The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.

So the area of the kite is A1 = (1/2) * 16 * 12 = 96

The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192

Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:

Probability = A1 / A2 = 96 / 192 = 1/2

Correct option: D)

Answer:

[tex] = q < 3[/tex]

Step-by-step explanation:

[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

A. 150 N + e

Step-by-step explanation:

Im smart pls mark brainliest.

Answer:

f(x) = x^2 - 4x - 12

Step-by-step explanation:

If 6 is a zero, (x - 6) is a factor.  Likewise, if -2 is a zero, (x + 2) is a factor.

Multiplying these two factors together, we get:

f(x) = x^2 - 4x - 12

Answer:

- 100.2

Step-by-step explanation:

6 x(-16.7)

6 x [tex]\frac{-167}{10}[/tex]

6 x(-167) = - 1002

-1002/10 = - 100.2

Answer:

[tex]236cm^2[/tex]

Step-by-step explanation:

[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]

[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]

[tex]62+78+78+54=272cm^2[/tex]