MATHEMATICS HIGH SCHOOL

The function H(t) = −16t2 + 90t + 50 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 28 + 48.8t, where g(t) is the height, in feet, of the object from the ground at time t seconds.Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

Answer 1
Answer: Part A:
      
         H(t)       g(t)
1     124      76.8
2     166      125.6
3     176      174.4
4     154      223.2

The solution is between 3 and 4 seconds because it can be seen that there was a shift in the trend between them. H(t) had higher values for the first 3 seconds. It can be seen that in 3 seconds, g(t) is already approaching H(t). Finally at 4 seconds, g(t) surpasses H(t).

Part B:
This means that between 3 and 4 seconds, g(t) was able to catch up to H(t) in terms of height. At H(t)=g(t), this gives 3.03 secs which is indeed between 3 and 4 seconds. Above 3.03 seconds, g(t) overtakes the height of H(t).

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1/2(x-4)=4. Solve for x

Answers

1/2(x-4)=4 
1/2x-2=4 (expand the brackets)
1/2x=6 (added 2 to both sides)
x= 6/(1/2)
x= 6*2
x=12

                                                             1/2(x-4) = 4

Multiply each side of the equation by  2 :  (x- 4) =  8

Add  4  to each side of the equation:          x      = 12     


PLEASE HELP ILL AWARD BRAINLIESTUse a two-column proof to prove the Triangle Proportionality Theorem:

*image attached*

Answers

Answer:

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

Step-by-step explanation:

The Triangle Proportionality Theorem states that:

If a line parallel to one side of a triangle intersects the other two sides then it divides those sides proportionally. The segments joining midpoints of the two sides of the triangle will be parallel to the third side and half the length.

This means if a line divides two sides of a triangle proportionally, then it is parallel to the third side.

In this case;

AD/AB =AE/AC is true because;

A line ED parallel to one side of the triangle {CB} has intersected the other two sides of the triangle [AB and AC] making the sides proportional.

The segments{AD,AB,AE,EC] joining the midpoints {D & E} of the two sides {AB & AC} of the triangle will be parallel to the third side BC and half the length.

Complete the following statement. Write Sometimes,always, or never

Trapezoids are _______ parallelograms.

Answers

The answer is Always
the answer is never because a parallelogram has 2 sets of parallel sides

Sue chooses a dress to wear when she goes out with her parents, but she can wear it only if her parents approve. The probability that Sue selects a black dress is 40%. The probability that Sue's parents approve when she chooses a black dress is 30%. What is the probability that Sue chooses a black dress and her parents approve?

Answers

40% = 0.4

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How to Translate Expressions like the quotient of a number and 0.76, increased by 6.5

Answers

i don't understand this question.sorrrrry can tell how you solve this problem.thankyou

The mean score on a calculus exam was 40, and the standard deviation was 5. The teacher decided to double everyone’s score and then added 7 points. What are the values of the mean and standard deviation of the distribution of transformed exam scores? (Options: mean = 80 and standard deviation = 5, mean = 80 and standard deviation = 10, mean = 87 and standard deviation = 5, mean = 87 and standard deviation = 10, mean = 87 and standard deviation = 17)

Answers

The new mean becomes 87 (40*2+7), while the new standard deviation becomes 10 (5*2). The correct option is then option D.

hope this helps! please give brainliest :)
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