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Colt1911 [192]
2 years ago
13

Sean and mason run out of gas while fishing from their boat in the bay. They set off an emergency flare with and initial velocit

y of 30 meters per second. The height of the flare in meters can be modeled by h(t) = -5t^2 + 30t, where t represents the number of seconds after launch. Sean wants to know how high the flare will reach above the surface of water. a. Write the function in vertex form, factoring so the coefficient of t^2 is 1. b. Complete the square using the vertex form of the function. c. How high will the flare reach?
Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

Answer:

Step-by-step explanation:

v

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HELP ASAP?!?!?!? QUADRATIC REGRESSION MODELS
CaHeK987 [17]

Answer:

4.87138

Step-by-step explanation:

i think

4 0
3 years ago
Which set of values could be the side lengths of a 30-60-90 triangle?
jeyben [28]
If we say that side "a" is the shortest (adjacent), side "b" is the second shortest (opposite), and side "c" is the longest (hypotenuse): then angle A would be 30°,  angle B would be 60°, and angle C would be 90°

tan B = b/a
 or
a tan B = b

they have 4 as the smallest value in all four options, so we know that a=4

4 tan 60° = b
tan 60° = √3
so, 4 tan 60° = 4√3
b=4√3

that leaves two options left, so now we find "c":

c^2 = (a^2) + (b^2)
OR
c= \sqrt{a^{2} + b^{2}}

c= \sqrt{4^{2}+(4\sqrt{3})^{2}}

c= \sqrt{16+48} \\ c=\sqrt{64} \\ c=8

so a=4, b=4√3, and c=8

Making your answer B
3 0
3 years ago
Read 2 more answers
A coin is tossed 1000 times and heads showed up 625 and tails 375
Mnenie [13.5K]

Answer:

Heads: 5/8

Tails: 3/8

Step-by-step explanation:

The probability of getting tails is 375/1000 OR 3/8.

The probability of getting heads is 625/1000 OR 5/8.

4 0
3 years ago
Use the unit circle to find the value of sin 3π/2 and cos 3π/2. Show work please!
MariettaO [177]

Answer:

Step-by-step explanation:

3π/2 is equivalent to 270°.  The "opposite side" for this angle is -2; the adjacent side is 0, and the hypotenuse is 2.

Thus, sin 3π/2 = opp/hyp = -2/2 = -1, and

         cos 3π/2 = adj/hyp = 0/2 = 0.

4 0
3 years ago
Read 2 more answers
A factory received a shipment of 10 generators, and the vendor who sold the items knows there are 4 generators in the shipment t
jek_recluse [69]

Answer:

A) 0.026

B) 0.130

Step-by-step explanation:

Complete Question

A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.

(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.

(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.

Solution

A) This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of generators to be picked = 4

x = Number of successes required = number of defective generators required = 4

p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40

q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60

P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.

B) n = total number of sample spaces = number of generators to be picked = 4

x = Number of successes required = number of defective generators required = 0

p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40

q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60

P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.

Hope this Helps!!!

8 0
3 years ago
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