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Mrac [35]
3 years ago
14

Bethanie's daily drive to work involves driving through some steep terrain. She came up with the following graph to model her el

evation, in feet above sea level, t minutes into her daily commute to work. Mike also decided to create a function to model his elevation, in feet from sea level, t minutes into his daily commute to work. The function is shown below. M(t)=x^3-6x^2+11x-6 If Bethanie and Mike both take eight minutes to drive to work, which person drives to the higher elevation? A. Both Bethanie and Mike drive the same distance above sea level. B. Bethanie C. This cannot be determined from the given information. D. Mike

Mathematics
2 answers:
shtirl [24]3 years ago
8 0

Answer:

Option D.

Step-by-step explanation:

-If the attached graph shows the distance above sea level to which Bethanie's leads as a function of time, then we can observe that after having elapsed 8 minutes Bethanie's is a distance of 0 from sea level.

The graph shows that the value of B(t) is always less than 1 during the 8 minutes of travel.

-On the other hand, the function M(t) = t ^ 3-6t ^ 2 + 11t-6 that models the distance above sea level that Mike drives as a function of time, shows us that after 3 minutes the distance M(t) begins to increase rapidly until at t = 8 minutes:

M(t) = 8 ^ 3 -6 (8) ^ 2 +11 (t) -6 = 210.

Therefore the correct option is D

The person who leads to the highest elevation is Mike.

liberstina [14]3 years ago
7 0

Answer:

for plato users its b

Step-by-step explanation:

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If g(x)=7x²−4x−3 and h(x)=5x²−12x, find (h∘g)(1)<br><br><br>FIRST BEST ANSWER BRAINLIEST
AURORKA [14]

Answer: See below

Step-by-step explanation:

h\:\circ \:g=h\left(g\left(x\right)\right)

=5\left(7x^2-4x-3\right)^2-12\left(7x^2-4x-3\right)

=5\left(7x^2-4x-3\right)\left(7x^2-4x-3\right)-12\left(7x^2-4x-3\right)

=245x^4-280x^3-130x^2+120x+45-84x^2+48x+36

Simplify:

=245x^4-280x^3-214x^2+168x+81

6 0
3 years ago
A professor has 24 pairs of socks in his drawer. 18 pairs are black and the rest are brown. He always wears black pants. He does
lesya692 [45]

Answer:

The likelihood that the professor's socks matched his pants on both days is 0.5625

Step-by-step explanation:

Total no. of pair of socks = 24

No. of black pairs = 18

We are given that  he selects one pair of socks on Monday and one on Tuesday. Since he has lots of clean socks in the drawer he does not do laundry.

So, It is  a case of replacement

He always wears black pants.

We are supposed to find he likelihood that the professor's socks matched his pants on both days i.e. Black socks both days.

So ,Probability of wearing black socks on Monday = \frac{18}{24}

So ,Probability of wearing black socks on Tuesday =\frac{18}{24}

So,the likelihood that the professor's socks matched his pants on both days = \frac{18}{24} \times \frac{18}{24}=0.5625

Hence the likelihood that the professor's socks matched his pants on both days is 0.5625

4 0
3 years ago
slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of
d1i1m1o1n [39]

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

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With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

8 0
3 years ago
3. If the lateral surface area of a
azamat

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Sammy made her uncle a garden. The width is 6 5 7 ft and the length is 7 3 5 ft. What is the area of the garden?
Advocard [28]

Answer:

482895ft^2

Step-by-step explanation:

Given data

Width= 657ft

Length= 735ft

We know that area A

A= Length* Width

A=657*735

A= 482895ft^2

Hence the area is 482895ft^2

8 0
3 years ago
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