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[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16[tex]t^{2}[/tex] + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

  = 224

h = 224 m

Total height, S = 240 + 224

                         = 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]

[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]

  = 94.694

t = [tex]\sqrt{94.694}[/tex]

 = 9.7311

t ≅ 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

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2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.

Answer:

3 gallons

Step-by-step explanation:

y= -3/2x - 3

putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture

Answer:

1. B

2. D

3. E

4. C

5. A

6. F

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

Answer:

×=6/2=3

Step-by-step explanation:

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].

But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].

[tex]170000*\pi = 534070.75 (Rounded)[/tex]

Answer:

go get that girl

Step-by-step explanation:

sike  you use what you got the first time

Answer:

If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.

(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)

Answer:

b. 3

Step-by-step explanation:

find equation of g(x):

(-16-(-10))/(-3-(-1))=-6/-2=3

apply a point

-16=3(-3)+n

-16=-9+n

n=-7

g(x)=3x-7

find equation of f(x):

f(x)=-2(x+5)

simplify

f(x)=-2x-10

subtract y intercepts

-7-10=3

3

Answer:

7feet I hope this help you.

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

p  >  −  1

............................................................................................

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Total Cost = $1605

Step-by-step explanation:

Total Cost = Cost of the Computer +  (Cost of the computer × tax %)

Total Cost = $1500 + ($1500 × .07)

Total Cost $1500 + $105

Total Cost = $1605

Answer: (x - y) + 5

Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.

Would appreciate brainly <3

Step-by-step explanation:

y²+5y+6=0

y²+2y+3y+6=0

y(y+2)+3(y+2)=0

(y+2)(y+3)=0

:. y=2,3

option C.

hope this helps you.

Answer:

Step-by-step explanation:

Y^2+5y+6=0

5^2 - 4*2*6

25-48

23 i

-5 +4.79i =>   -0.21  =>      0.5i

2*2                     4

-5 +4.79i =>   -9.79  =>      2.44i

2*2                     4

Answer: uhhhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

1330 is the answer

Answer:

40

Step-by-step explanation:

Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

Step-by-step explanation:

Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of

-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

B. The x-intercept shows that he started with 16 songs downloaded before adding more.

C. The x-intercept shows that he has 53 GB of storage on his phone.

D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

Answer:

3/7

Step-by-step explanation:

Answer:

B.Divide by -5

Step-by-step explanation:

-5m= -40

divide bothe sides by -5

m= -40/-5

m= 8

Answer:

1/2 and -5/2

Step-by-step explanation:

Assuming all sides are equal just put the equations equal to each other and solve

Answer:

B

7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:

(3x-7)+x = 109

Answer:

Step-by-step explanation:

21x1/12=1.75 cm

1.75x10=17.55 mm

17.55 mm

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.