HELP ASAP PLEASE!!the heights of two different projectiles after they launched are modeled by f(x) and g(x).
HELP ASAP PLEASE!! the heights of two different projectiles after - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

According to the table, function g(x) reaches the max height of 33, approx.

The equation of motion is f(x) = -16x^2 + 42x + 12.  We need to determine the maximum of this function.  To do this, find the x-coordinate of the vertex, which is x = -b/(2a), or x = -42/(2*-16), or 1.31 sec.

Evaluating f(x) = -16x^2 + 42x + 12 at x = 1.31 sec, we get f(1.31) = 39.6.

So it appears that f(x) has a higher max than does g(x); the difference is approx. 39.6 - 33, or 6.6


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Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph in the same direction as car A. At what time will car B pass car A? PLEASE show work!

Answers

At 10 am, Car A is at 30 miles.

Then at 11 am, Car A is at 60 miles and Car B is at 40 miles

At 12 am, Car A is at 90 miles and Car B is at 80 miles

At 1 pm, Car A and B are tied for 120 miles

The very second after Car B passes Car A

Answer: 1:01 pm Car B Passes Car A

A customer buys five cans of baked beans, four packets of brown sugar and two packets of biscuits from a supermarket.He gives the cashier R150.00 and gets R26.00 in change. A can of baked beans costs half as much as a packet of biscuits whilst a packet of sugar is R3.00 cheaper than a packet of biscuits.1.How much did all the items cost?
2.Calculate the cost of a can of baked beans, a packet of sugar and a packet of biscuits.
3.How much will 8 cans of baked beans,1 packet of sugar and 6 packets of biscuits cost?

Answers

can of baked beans = x 
packet of brown sugar = y
packet of biscuit = z

5x + 4y + 2z = 150 - 26 ⇒ 5x + 4y + 2z = 124 is the total cost of all items.

can of baked beans = x = 1/2 of z
packet of sugar = y = z - 3

5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 16 cost of a packet of biscuit.

x = 1/2 of z = 16/2 = 8 cost of a can of baked beans
y = z - 3 = 16 - 3 = 13 cost of a packet of sugar

5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124

8(8) + 1(13) + 6(16) = 64 + 13 + 96 = 173 total cost on question 3.

You are told that P(A | B) = P(B | A). Which statement below must be true? A and B are equally likely
P(A | B) = 0.5
A and B are independent
A and B are dependent

Answers

The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P(A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.

Answer:

The answer is A and B are dependent

What would the integer 500 equal using powers of 10? How did you come up with that answer?

Answers

Hello,

500=10^x
==> Log 500=xLog10
==>x=log 500
==>x=2,6989700043360188047862611052755...


A scientist is testing the effectiveness of a new medicine. The medicine is to be tested on two genetically identical lab rats. One rat receives a placebo pill, while the other rat receives the actual medicine. Which of the following methods is being used to investigate the effectiveness of the medicine?

Answers

Answer: on plato its controlled experiment

Step-by-step explanation:

I would instantly rule out Survey and Seperation Study because 1) a survey is impossible in this instance, and 2) a seperation study will do nothing. It's just moving them apart from eachother. So that leaves Controlled Experiment and Observational Study. An observational study is when you have no control over the groups of subjects, nor what they are given. A controlled experiment is when you change only one aspect of what is given to the group. Since the only thing that is happening is the scientist is giving one rat a real pill, it would fall under controlled experiment. Thus, that is your answer.
Hope I helped ^.^

60.34 to the nearest tenth a second

Answers

The answer is 60.3 because the number after is not five or higher to be rounded up so it stays the same.