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olasank [31]
3 years ago
8

A model rocket is fired from the ground at time t=0, and it’s height is given in cm by the formula h=-490t^2 +1470t where t is m

easured in seconds.
Write an equation to find when the height of the rocket is 980 cm.


Solve the equation by factoring.


Explain why there are two solutions to this problem.
Mathematics
1 answer:
Natali [406]3 years ago
4 0

Step-by-step explanation:

h = -490t² + 1470t

When h = 980:

980 = -490t² + 1470t

Simplifying:

0 = -490t² + 1470t - 980

0 = t² - 3t + 2

Factoring:

0 = (t - 1) (t - 2)

t = 1, 2

There are two solutions because the rocket first reaches the height of 980 cm as it's going up at 1 second, then it reaches that height again as it's coming down at 2 seconds.

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How many password are possible if you want to use 5 letters and they cannot be repeated.
hram777 [196]

Answer:

100,000 possible passwords

Step-by-step explanation:

5 vowels, each of the letters in the password can be chosen: 5^5=3125.

If it's case sensitive, then there's 10 choices for each character: 5^10= 100,000

3 0
3 years ago
Five percent of all vcrs manufactured by a large electronics company are defective. a quality control inspector randomly inspect
harkovskaia [24]
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
7 0
3 years ago
Please help me solve this question will give you braisnlt !
DIA [1.3K]

Answer:

s = 54m +160

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

(m_1,s_1) = (2,268)

(m_2,s_2) = (4,376)

Next, we determine the slope, M:

M = \frac{s_2 - s_1}{m_2 - m_1}

M = \frac{376 - 268}{4-2}

M = \frac{108}{2}

M = 54

The equation is then calculated as:

s - s_1 = M(m - m_1)

Where:

M = 54

(m_1,s_1) = (2,268)

So, we have:

s - 268 = 54(m - 2)

Open bracket

s - 268 = 54m - 108

Collect like terms

s = 54m - 108 + 268

s = 54m +160

Hence, the equation is: s = 54m +160

6 0
3 years ago
Use words to write a comparison statement for the problem above.
pantera1 [17]

Looking at the question we can see that it says:

41253>35214

We should know what these symbols mean:

stands for something less than the other, for example:

We can say that 2 is less than 5 so in a symbolic form it can be written as,

2

Similarly,

> stands for something greater than the other, for example:

We can say that 7 is greater than 5, in a symbolic form it can be written as,

7>5

So here, 42153>35214 means that, 42153 is greater than 35214.

6 0
3 years ago
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A clock has a face with a radius of 11.5 centimeters. What is the approximate circumference of the clock?
antiseptic1488 [7]
C = 2 pi r
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answer is <span>
A. 72.22 cm</span>
6 0
3 years ago
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