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Answer:

t = 15.42 s

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.

[tex]y=-16x^2+242x+73[/tex]

We ned to find the time when the rocket will the ground. For this, y = 0

[tex]-16x^2+242x+73=0[/tex]

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = -16, b = 242 and c = 73

[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]

Neglecting negative value.

So, it will hit the ground in 15.42 s.

Answer:

t = 15.42 s

Step-by-step explanation:

Answer:

 5/14

Step-by-step explanation:

             3--2=5

             6--8=14  

Answer:

y = 1

hope that helps you

Answer:

Step-by-step explanation:

Remark

Moving 6 points left is not going to alter the slope (or it shouldn't).

The x value has to have 6 subtracted from it. Leave the y value alone.

Givens

C: (-5-6,8) = (- 11,8)

D: (2-6,5) =  (-4,5)

Formula

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

Solution

m = (8 - 5)/(-11 - - 4)

m = 3 / - 7

m = - 0.429

Check

Let's find the slope of the original points.

(8 -5)/(-5 - 2) = 3/-7 which is the same thing.

Answer:

The area of the building in terms of y in its simplest form is 12(y + 2)

Step-by-step explanation:

Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8  feet. So, L = 4y + 8 feet.

So, the area of the building in terms of y is A = LW

= (4y + 8) × 3

Factorizing out 4 from the expression, we have

= 4(y + 2) × 3

= 12(y + 2)

So, the area of the building in terms of y in its simplest form is 12(y + 2)

Answer:

0,8571

Step-by-step explanation:

7 ÷ 6 = 0,8571

7 · 0,8571 = 5,9997 ≈ 6

Use both!

You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.

P = 8/x + 2x

dP/dx = -8/x² + 2 = 0

8/x² = 2

x² = 8/2 = 4

x = ± √4 = ± 2

You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.

We have

d²P/dx² = 16/x³

When x = -2, the second derivative is negative, which means there's a relative maximum here.

When x = 2, the second derivative is positive, which means there's a relative minimum here.

So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.

Answer:

ASA

Step-by-step explanation:

Answer: 5 1/3

Step-by-step explanation:

Answer:

80.5

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

275/5=55

Answer:

B

Step-by-step explanation:

I got 100 on my test and that was my answer

This is about Knowledge of Congruence Theorems of Triangles.

Option B is not Valid

In Congruence theorems, we have 4 major types which are;

1) SSS Congruency Theorem; This one denotes Side - Side - Side and it means that if 3 sides of a triangle are equal to corresponding 3 sides of another triangle, then they are both congruent.

2)  SAS Congruency Theorem; This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to corresponding 2 sides and one angle of another triangle, then they are both congruent.

3) ASA Congruency Theorem; This one denotes Angle - Side - Angle and it means that if 2 angles and the included side of a triangle are equal to corresponding 2 angles and the included side of another triangle, then they are both congruent.

4) AAS Congruency Theorem; This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.

Looking at the options, the only one that is not Valid is Option B.

Read More at; https://brainly.com/question/10533727

Answer:

$2.10

Step-by-step explanation:

12*5=60

64-60.20=4.20

4.20 is for 2 pens

4.20/2=2.10

=$2.10

Answer: 25 percent

Step-by-step explanation:

The price of the medicine was increased by 50%.

Given,

The price of some medication was increased from $8 to $12.

We need to find by what percentage the price of the medicine increased.

The formula used is given as:

Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100

Find the initial amount.

= $8

Find the final amount.

= $12

Find the percentage increased.

= ($12 - $8) / $8 x 100

= 4/8 x 100

= 1/2 x 100

= 50%

Thus the price of the medicine was increased by 50%.

Learn more about how to find the percentage increase with a ratio given here:

https://brainly.com/question/22624454

#SPJ6

Answer:

She can buy 1 bullitin board.

Step-by-step explanation:

1347 divided by 75 is 17.96

I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.

Answer:

y= -1 , 0 , y = -2

x= 10 , infinity , x = 7

x= -4 , infinity , x= 7

Answer:

Step-by-step explanation:

10

Answer:

2,752

Step-by-step explanation:

86x32 = 2752

Product: It means to multiply.

Answer:

I believe the estimated product is 2749

Answer:

No it is not

Step-by-step explanation:

Plug it in

3 < 2(-2) + 1

3 < -4 + 1

3 < -3

3 is not less than -3

Answer:

(1-0.01p)/n

Step-by-step explanation:

Mathematically;

Percentage of student playing at least one sport = 100% - Percentage of students playing no sport

Mathematically, that would be;

Percentage playing no sport = 100% - p%

So, to find this in n 7th graders

we have;

(100-p)/100 * n

= 100-P/100n = 1/n - P/100n

= 1/n - 0.01p/n

= (1-0.01p)/n

Answer:

The cheeta is slow, the gazelle

Step-by-step explanation:

The cheeta x2 is 120/8 making the gazelle higher

Answer:

Cheetah

Step-by-step explanation:

One: Cheetah's have always been known as the fastest animals on earth.

Mathematically:

60 / 4 = 15 (cheetah)

100 / 8 = 12.5 (gazelle)

15 is higher than 12.5

Step-by-step explanation:

yes

Answer:

1/4 is the simplest form

Step-by-step explanation:

Answer:

MARK ME BRAINLIEST MARK ME BRAINLIEST

MARK ME BRAINLIESTMARK ME BRAINLIEST

Answer:

i just know you can have 12 gallons of gas

Step-by-step explanation:

because it is 3x2=6

3x10=30 which means 10+2=12

Answer:

50×5=78

Step-by-step explanation:

5÷3.00/83.00(ab)

319049

as 100,042 + 98,117 + 120,890 = 319,049