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morpeh [17]
3 years ago
7

The braking distance, D, of a car is directly proportional to the square of its speed, v. When d=5, v=10

Mathematics
1 answer:
elena-s [515]3 years ago
3 0

d \propto  v^2

$\implies d=kv^2$

substitute the given values, $5=k(10)^2\implies k=\frac1{20}$

now, $d=\frac{1}{20}\times( 70)^2=\frac{70\times70}{20}=245$

A big blunder from my side, now fixed!

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What is the surface area of a sphere with radius 4?
mario62 [17]

Answer: 64 units

Step-by-step explanation:

Remember, the formula to find surface area given radius is 4\pi r^2. Let's add in the given information:

4pi4^2 =

4pi16

64pi!

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5 0
1 year ago
Jeremy says that the absolute value of 6 is -6. Is he correct? Explain.
emmasim [6.3K]

Answer:

Jermey is not correct because abouslte value is always postive

Step-by-step explanation:

3 0
3 years ago
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The length of a rectangle is 3n + 2 and it's width is n -1. The perimeter of the rectangle is twice the sum of its length and it
mash [69]

An expression that represents the perimeter of the rectangle would be:

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5 0
3 years ago
Hi, I need help with this question.
mart [117]
Use trigonometry to find your answer 

7 0
3 years ago
PLEASE HELP SUPER FAST WORTH ALOT OF POINTS
lutik1710 [3]

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

z=\frac{X-\mu}{\sigma}

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

P=89.44-10.57=78.87\%

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

P=99.865-.0135=99.73\%

99.7% of people.

3 0
3 years ago
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