Mitch throws a ball over A 20 foot fence to a baseball field. The height, H, of the ball at the time T seconds after it was the round can be modeled by the equation H(t)=16^2 + 30t+6


which statement is true?

Answers

Answer 1

Answer:

(a) At 1.5 seconds, the ball is 15ft high

Step-by-step explanation:

Given

[tex]Fence:= 20ft[/tex]

[tex]h(t) := -16t^2 + 30t + 6[/tex]

Required

Select the true statement

See attachment for options

Option (a): At 1.5 seconds, the ball is 15ft high

This implies that:

[tex]t = 1.5[/tex]

Substitute [tex]t = 1.5[/tex] in [tex]h(t) := -16t^2 + 30t + 6[/tex]

[tex]h(1.5) = -16 * 1.5^2 + 30 * 1.5 + 6[/tex]

[tex]h(1.5) = -16 * 2.25 + 45 + 6[/tex]

[tex]h(1.5) = -36 + 45 + 6[/tex]

[tex]h(1.5) = 15[/tex]

This statement is true.

Because: [tex]h(1.5) = 15[/tex] means that:

At 1.5 seconds, the ball is 15ft high

Other options will not be checked because only one option can be correct

Mitch Throws A Ball Over A 20 Foot Fence To A Baseball Field. The Height, H, Of The Ball At The Time

Related Questions

In the last several weeks, 18 days saw rain and 29 days saw high winds. in the same time period 7 days saw both rain and high winds. How many days saw either rain or high winds

Answers

Answer:

40 days saw either rain or high winds

Step-by-step explanation:

We solve this question using Venn sets.

I am going to say that:

Set A: Rain

Set B: High winds.

18 days saw rain

This means that [tex]A = 18[/tex]

29 days saw high winds

This means that [tex]B = 29[/tex]

7 days saw both rain and high winds.

This means that [tex]A \cap B = 7[/tex]

How many days saw either rain or high winds?

This is

[tex]A \cup B = A + B - A \cap B[/tex]

Sp

[tex]A \cup B = 18 + 29 - 7 = 40[/tex]

40 days saw either rain or high winds

A lab is testing the amount of a certain active chemical compound in a particular drug that has been recently developed. The manufacturer claims that the average amount of the chemical is 95 mg. It is known that the standard deviation in the amount of the chemical is 5 mg. A random sample of 25 batches of the new drug is tested and found to have a sample mean concentration of 89.9 mg of the active chemical.
Calculate the 95% confidence interval for the mean amount of the active chemical in the drug. Give your answers to 2 decimal places. (suppose to be number less than and equal to mean less than and equal to another number)

Answers

Answer:

The 95% confidence interval is "87.94, 91.86".

Step-by-step explanation:

The given values are:

Sample batches,

n = 25

Sample mean concentration,

[tex]\bar{x}[/tex] = 89.9 mg

Amount of chemical,

σ = 5

α = 0.05

The critical value from Z table will be:

=  [tex]Z(\frac{\alpha}{2} )[/tex]

=  [tex]Z(\frac{0.05}{2} )[/tex]

=  [tex]1.96[/tex]

Now,

The confidence interval will be:

=  [tex]\bar{x} \pm Z(\frac{\alpha}{2} )\times \frac{\sigma}{\sqrt{n} }[/tex]

On substituting the values, we get

=  [tex]89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{\sqrt{25}}[/tex]

=  [tex]89.9 \pm Z(\frac{0.05}{2})\times \frac{5}{5}[/tex]

=  [tex]89.9 \pm1.96\times 1[/tex]

Lower limit will be:

=  [tex]89.9 -1.96\times 1[/tex]

=  [tex]87.94[/tex]

Upper limit will be:

=  [tex]89.9 +1.96\times 1[/tex]

=  [tex]91.86[/tex]

To the nearest 1000, there are 18,000 people at a festival . Write down the minimum possible number of people at the festival

Answers

Answer:

17500

Step-by-step explanation:

17499 rounds down

17500 rounds up

The number of people is an illustration of approximation and estimation

The minimum possible number of people at the festival is 17500

The approximated number of people is:

People  = 18000

Because 18000 represents people, it means that the population is a whole number

The smallest whole number that can be approximated to 18000 is 17500

i.e.

People = 17500

Hence, the minimum possible number of people at the festival is 17500

Read more about approximation and estimation at:

https://brainly.com/question/24586443

PLS HELPP i need this

Answers

Answer:

[tex] \therefore x =2[/tex]

Step-by-step explanation:

[tex] \triangle TPR \sim \triangle SQR... (given) [/tex]

[tex] \therefore \frac{TP}{SQ} = \frac{PR}{QR}[/tex]

[tex] \therefore \frac{TP}{SQ} = \frac{PQ+QR}{QR}[/tex]

[tex] \therefore \frac{3}{x} = \frac{1\frac{1}{3} +2 \frac{2}{3}}{2 \frac{2}{3}}[/tex]

[tex] \therefore \frac{3}{x} = \frac{\frac{4}{3} + \frac{8}{3}}{\frac{8}{3}}[/tex]

[tex] \therefore \frac{3}{x} = \frac{\frac{12}{3}}{\frac{8}{3}}[/tex]

[tex] \therefore \frac{3}{x} = \frac{12}{8}[/tex]

[tex] \therefore x = \frac{8\times 3}{12}[/tex]

[tex] \therefore x = \frac{24}{12}[/tex]

[tex] \therefore x =2[/tex]

atomic structure escape room level 2 (HELP ASAP!!) what does each one lead to

Answers

Answer:

2c 1d 3b 4a is this for your schoooooools

A customer at Lost Pastores placed an order for 3 burritos which was priced at x amount of dollars each. He also ordered a plate of corn tacos for $12.95. His total bill was $32.46.as

Answers

Answer:

3x +12.95 = 32.46

Step-by-step explanation:

3 burritos plus x + 12.95 = $32.46

Answer:

i don't know lololololol

Step-by-step explanation:

help please!!!!!!!!!!!!!!!!!!

Answers

Answer:

It’s either D as the answer or A

Step-by-step explanation:

please help. will mark brainliest

Answers

Answer: AC = A'C'

Then you can use the hypotenuse leg theorem to say that the two triangles are similar

Step-by-step explanation:

Step-by-step explanation:

the measure of side AC = 53.33

18/30 = 32/x

18x = 960

x = 53.33

A car purchased for $20,000 depreciates annually at a rate of 8%. What will be the approximate value of the car in the 10th year?

Answers

Answer:

$4000

Step-by-step explanation:

20000x0.08=1600

1600x10=16000

20000-16000=4000

Answer:

$8687.76

Step-by-step explanation:

100-8=92

20,000*0.92=18400 (This is after one year)

20,000*0.92^10= 8687.7690 (After 10 years)

Is (x-4) a factor of x^3 +x^2 -16x-16x 3 +x 2 −16x−16 ?

Answers

Answer:

For x – 4 to be a factor, you must have x = 4 as a zero. Using this information, I'll do the synthetic division with x = 4 as the test zero on the left:

Step-by-step explanation:

which rule descibes the pattern?

Answers

Answer:

-1/2

Step-by-step explanation:

I think not 100% sure tho

Answer:

“multiply by 2 and then subtract 1.

Step-by-step explanation:

Milan has a total of 51 nickels and dimes worth $4.95. How many of each coin does she have?

Answers

Answer: 75 coins total, 51 nickels and 24 dimes.

Step-by-step explanation:

Pls helppp ASAP pls

Answers

Answer:

Four (4); 45; at least; 181.

Step-by-step explanation:

Ali has four friends that owe him x dollars each. His parents owe him $45 for doing chores last week. He recalls that people owed him at least $181.

To find how much money each of Ali's friends owe him;

Given the algebraic expression;

4x + 45 ≤ 181

4x ≤ 181 - 45

4x ≤ 36

Dividing both sides by 9, we have;

x ≤ 9

Therefore, Ali's friends owe him at least $9 each.

Answer:

Four (4); 45; at least; 181.

Step-by-step explanation:

Hope this helps

Square Root Equation! HELP ME!!!!

Do not scam or false answers.

Answers

the 2nd one is 5 because 5x5 or 5 squared is equal to 25. and the first one i’m not sure of

A circle has a radius of 48 millimeters.

What is the length of the arc intercepted by a central angle that measures 3π4 radians?

Express the answer in terms of π .

Answers

Answer:

36pi mm

Step-by-step explanation:

A circle has 2pi radians so 3pi/4 is 3/8 of it. The circumference is 96 mm so the length of the arc is 36pi mm.

Answer:

36π

Step-by-step explanation:

What is the length of PR?

Answers

Answer: The length of PR is 7 units.

Step-by-step explanation:The length of PR is 7 units.

Answer:

A.7

Step-by-step explanation:

Is the value 2 a solution to the equation p+9=11 ?
IF YOU ANSWER THIS YOU GET 50 POINTS! <3

Answers

Answer:

P=2

Step-by-step explanation:

yes i’m pretty sure it is a solution

1
The area of a square window is
given by the expression
m’ - 16m+64. Which expression
represents the length of one side
of the window?
a)m - 8
b) m + 4
c)m - 4
d) m + 8

Answers

Answer:

Step-by-step explanation:

-8 ok!

A sample of 26women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​ minute) are measured. The linear correlation coefficient is 0.208and the equation of the regression line is ModifyingAbove y with caret equals 17.8 plus 0.940 x​,where x represents height. The mean of the 26heights is 63.5in and the mean of the 26pulse rates is 77.9beats per minute. Find the best predicted pulse rate of a woman who is 71in tall.

Answers

Answer:

The pulse rate is 84.54bpm

Step-by-step explanation:

Given

[tex]\^{} y = 17.8 + 0.940x[/tex]

Required

Find [tex]\^{}y[/tex] when [tex]x = 71[/tex]

Substitute 71 for x in: [tex]\^{} y = 17.8 + 0.940x[/tex]

[tex]\^{} y = 17.8 + 0.940 * 71[/tex]

[tex]\^{} y = 17.8 + 66.74[/tex]

[tex]\^{} y = 84.54[/tex]

The pulse rate is 84.54bpm

Juan determines that a triangle has sides that measure 5 cm, 12 cm, and 13 cm. The same triangle also has one 90°° angle and two angles that are less than 90°°. Which best describes the triangle Juan is measuring?
isosceles right

scalene acute

scalene right

equilateral right

Answers

Answer:

scalene right

Step-by-step explanation:

A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!

Domain and range of graph need ASAP

Answers

Answer:

Domain: [tex]-6 \leq x \leq 3[/tex]

Range: [tex]-3 \leq x \leq 6[/tex]

Step-by-step explanation:

The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.

The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).

The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor

Answers

Answer:

10 ft

Step-by-step explanation:

Use theorem pythagoras

Length = x

[tex] {x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10[/tex]

the answer is 10 because length can't be in negative number

What are the three ordered pairs that should be in the table of values y=2x-3

Answers

Answer:

(-2, -7), (0, -3), (2, 1)

Step-by-step explanation:

Equation is given as y = 2x - 3.

To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.

✔️When x = -2:

y = 2(-2) - 3

y = -4 - 3

y = -7

✔️When x = 0:

y = 2(0) - 3

y = -3

✔️When x = 2:

y = 2(2) - 3

y = 4 - 3

y = 1

In a right angled triangle , one acute angle is 30°. Find the other acute angle

Answers

As it is right angled triangle , Other acute angle = 180-(30+90)= 60°.
Answer:
60

Explanation:
30 + 90 = 120
180 - 120 = 60

PLEASE HELP!!!! The problem is in the photo below.

Answers

Answer:

A is correct.

Step-by-step explanation:

Here, the x would represent the gallons per minute. The minutes are unknown, so it's just a variable. It can't be B either, because the addition sign would mean that the pool is being filled instead of drained.


which of the following fractions is larger in these fractions 2/5, 1/3, 1/15

Answers

Answer:

2/5

Step-by-step explanation:

124,567 is closer to 100,000 than 200,000

Answers

if you’re asking if it’s true or false, then it’s true

A kite was broken into two triangles of the same size and shape .
The area of each triangle is ? Square centimeters
20,40,80,160
The total are of the kite is ? Square centimeters
40,80,160,320

ANSWER_
The answers are 40 and 80

Answers

Answer:

hey the answer is 402

Step-by-step explanation:

Answer:

40 and 80

Step-by-step explanation:

got it on edgenuit y

What are the coordinates of each point after quadrilateral ABCD is reflected across the y-axis and then translated 2 units down? Drag numbers 1

complete the coordinates Numbers may be used once, more than once, or not at all

Answers

Answer:

[tex]A" = (3,2)\ \ B" = (-1,1)\ \ C" =(-3,4)\ \ D =(-1,4)[/tex]

Step-by-step explanation:

Given [Missing]

[tex]A = (-3,4)[/tex]

[tex]B = (1,3)[/tex]

[tex]C =(3,6)[/tex]

[tex]D =(1,6)[/tex]

The first transformation: reflection across the y-axis.

The rule is: [tex](x,y)==>(-x,y)[/tex]

So:

[tex]A = (-3,4)[/tex] ==>[tex]A' = (3,4)[/tex]

[tex]B = (1,3)[/tex] ==> [tex]B' = (-1,3)[/tex]

[tex]C =(3,6)[/tex] ==> [tex]C' = (-3.6)[/tex]

[tex]D =(1,6)[/tex] ==> [tex]D' = (-1,6)[/tex]

Translation 2 units down

The rule is: [tex](x,y)==>(x,y-2)[/tex]

So:

[tex]A' = (3,4)[/tex] ==> [tex]A" =(3,4-2) =(3,2)[/tex]

[tex]B' = (-1,3)[/tex] ==> [tex]B" = (-1,3-2) = (-1,1)[/tex]

[tex]C' = (-3.6)[/tex] ==> [tex]C" = (-3,6-2) = (-3,4)[/tex]

[tex]D' = (-1,6)[/tex] ==> [tex]D" =(-1,6-2) = (-1,4)[/tex]

Hence:

[tex]A" = (3,2)\ \ B" = (-1,1)\ \ C" =(-3,4)\ \ D =(-1,4)[/tex]

1) A population of bees is increasing at a rate of 8% per week. If
the population had an original size of 250 bees. Then how many
bees will there be after 10 days? (state equation)

Answers

Answer:

≈387,7

Step-by-step explanation:

I hope it's right. Sorry if it's not right.

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