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Minchanka [31]
3 years ago
6

PLS HELP ME ASAP WITH BOTH PRETTY PLS!!

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0
Left Problem: (first attached figure)
a) The vertex is (75, 25)
b) This means the ball reaches a maximum height of 25 feet at a point 75 feet downfield.
c) No, the ball will not be high enough to pass over the goal post. The point representing the goal post is above the path of the ball.


Right Problem: (second attached figure)
a) The vertex is (2.5, 55)
b) It means the ball reaches a maximum height of 55 feet 2.5 seconds after it is launched.

You might be interested in
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 inches.
olasank [31]

Answer:

See below.

Step-by-step explanation:

"Part A:

(1,5.5)

(2,5)

(3,4.5)

(4,4)

(5,3.5)

(6,3)

Every hour (x value) I subtracted 0.5 from the candle height (y value) since it burns at 0.5 inches per hour.

Part B:

Yes, this is a function because there is a constant relationship between the input and the output.

Part C:

Yes, this will continue to be a function because there is still a constant relationship, even though its different than the first one.

(1,5.7)

(2,5.4)

(3,5.1) ect."

Answer is also here:

brainly.com/question/2872549?referrer=searchResults

-hope it helps

6 0
3 years ago
50 POINTS
larisa86 [58]

Answer:

see below

Step-by-step explanation:

f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5

f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559

g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72

h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337

3 0
3 years ago
Read 2 more answers
The ratio of pretzels to crackers in a snack mix recipe is 11:9. What percent of the mix is
jeka57 [31]
55% is crackers if the 11 is crackers
6 0
3 years ago
Read 2 more answers
The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Rece
nlexa [21]

Answer:

A sample size of 385 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

You feel that a reasonable estimate of the standard deviation is 10.0 hours.

This means that \sigma = 10

What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence?

A sample size of n is needed. n is found when M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.96\frac{10}{\sqrt{n}}

\sqrt{n} = 1.96*10

(\sqrt{n})^2 = (1.96*10)^2

n = 384.16

Rounding up:

A sample size of 385 is needed.

7 0
3 years ago
If two consecutive angles of a parallelogram are congruent, what is the measure of each angle?
Debora [2.8K]

Answer:

Measure of each angle is 90 degree.

Step-by-step explanation:

Given : If two consecutive angles of a parallelogram are congruent.

To find the measure of each angle:

There are 6 important properties of parallelograms:

  • Opposite sides are congruent.
  • Opposite angles are congruent
  • Consecutive angles are supplementary.
  • If one of the angle is right angle, then all angles are right.
  • Diagonals of a parallelogram bisect each other
  • Also, each diagonal of a parallelogram separates it into two congruent.

let A and D be two consecutive angle.

then, by the given condition

\angle A \cong \angle D           ......[1]

From the  property of parallelogram:

Consecutive angles are supplementary

Then;

\angle A + \angle D = 180^{\circ}

From equation [1];

\angle A + \angle A = 180^{\circ}

Combine like terms :

2\angle A = 180^{\circ}

Divide both sides by 2 we get;

\frac{2 \angle A}{2} = \frac{180^{\circ}}{2}

Simplify:

\angle A = 90^{\circ}

From the given property of parallelogram : if one of the angle is right, then all the angles in the parallelogram are right angle.

∴ \angle A = \angle B = \angle C = \angle D = 90^{\circ}

Therefore, the measure of each angle is 90^{\circ}

4 0
3 years ago
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