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zhuklara [117]
3 years ago
8

I WILL GIVE BRAINLIEST LOTS OF POINTS!!!! Answer The Question.

Mathematics
1 answer:
Mandarinka [93]3 years ago
6 0

Answer

88.6 cm

Step-by-step explanation:

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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t
Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

h(t)=-4.9t^2+121t+283

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

h(t)=0\implies-4.9t^2+121t+283=0

Using the quadratic formula, the solution for our problem is

\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

h^{\prime}(t)=-9.8t+121

The root is

-9.8t+121=0\implies t=\frac{121}{9.8}=12.347

Then, the maximum height is

h(12.347)=1029.99

1029.99 meters above sea level.

6 0
1 year ago
1. Jasmine drives every morning to her office that is 12 miles from her home
Elanso [62]

Answer:

1. Her time in minutes is 720/s minutes

2. Given her time to be 20 minutes, her speed is 36 mph

Step-by-step explanation:

Mathematically,

Distance = speed * time

In this question, we want to calculate time;

So time = distance/speed

times = 12 miles/s mph = 12/s hours

Now we want our answer in minutes

Kindly recall that 60 minutes = 1 hour

So 12/s hours will be 12/s * 60 = 720/s minutes

2. Since she drives from home to the office in in 20 minutes, we want to calculate her speed in mph

From the time calculated above i.e 720/s

We can equate 20 = 720/s

20s = 720

s = 720/20

s = 36 mph

4 0
3 years ago
Read 2 more answers
112,811 to the nearest hundred thousand
andrey2020 [161]
112,811 rounded to the nearest hundred thousand is 100,000
5 0
3 years ago
Solve for x. <br><br> (X+16) (4x-5)<br><br> X = 4.3<br> X = -7<br> X = 3<br> X = 7
jeka94

Answer:

the answer is x = 7

Step-by-step explanation:

1) replace the x with 7

2) 7 + 16 = 23

3) 4(7) = 28

4) 28 - 5 = 23

they're both equal as perpendicular angles should be!

7 0
3 years ago
Calculate the volume of this regular solid.
IgorC [24]

Answer:

V= 42.41

Step-by-step explanation:

V = \pi r^{2}\frac{h}{3}

where r is the radius = 3 and h is the height = 4.5

V= \pi × 3^{2} × \frac{4.5}{3}

V = 42.41

5 0
3 years ago
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