Plz help! Actually Answer plz!
During halftime of a football ​game, a slingshot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 4 feet with an initial upward velocity of 80 feet per second. The​ T-shirt is caught 41 feet above the field. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is the range of the function that models the height of the​ T-shirt over​ time?

Answers

Answer 1

9514 1404 393

Answer:

  time to max height: 2.5 seconds

  max height: 104 ft

  range of function: [4, 104]

Step-by-step explanation:

The equation for ballistic motion is ...

  h(t) = -16t^2 +v0·t +h0 . . . . where v0 is the initial upward speed and h0 is the initial height

For the given parameters, the height function is ...

  h(t) = -16t^2 +80t +4

The time for maximum height is ...

  -b/(2a) = -80/(2(-16)) = 2.5 . . . seconds

The maximum height is ...

  h(2.5) = (-16·2.5 +80)(2.5) +4 = 104 . . . feet

The range of the function is from the minimum height (at launch) to the maximum height:

  4 ft ≤ h(t) ≤ 104 ft.

Plz Help! Actually Answer Plz!During Halftime Of A Football Game, A Slingshot Launches T-shirts At The

Related Questions

solve: log3(x)+log3(x-2)=log3(x+10)​

Answers

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

HELP ME PLEASE I'll give brainless.

Answers

MLJ is congruent to POL( corresponding angles)
POL= 59

After graduating from college, Herbert decided to join a new
company. He agreed to a salary which will increase by 4.5% each
year and he will earn $63,417 for his tenth year of work.

Answers

Answer:

500

Step-by-step explanation:

f(x) = -2
Find f (3)

Answers

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

A company that cleans carpets charges its customers a fixed amount for supplies plus an
additional amount per hour of cleaning. The graph models the linear relationship between the
total amount charged and the number of hours of cleaning.

Answers

Answer:

Don’t quote me but, $15 per hour.

Explanation:

I just took the slope of the line,

(60 - 120) / (0 - 4)
-60 / -4
15

May someone pls help with this?

Answers

Answer:

p = 308

Step-by-step explanation:

A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

because the teeth brushing had nothing to do with their grade, it would be no correlation.


What is the maximum percentage of net spendable income that should be set aside for housing? (It’s not 38)
A.25%
B.36%
C.38%
D.28%

Answers

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

Answer:

Step-by-step explanation:

It is 38% cause The maximum percentage of a families net spendable income should have at least 38% set aside for housing expenses.

pls I need help with this math question.

Answers

Answer: -4096

Step-by-step explanation:

Select all shapes that have a volume of 36pi cubic units. (see attached picture)

Answers

Answer:

a B and c because there the shape of the big triangles

Can someone please help i spendt 30 mins on this one question ?

Answers

Answer:

A

Step-by-step explanation:

To keep things short, use the distance formula to find the distance from each point from (0,0)

Based on the table, how much more money would a electrician earn earn than a social worker over a 20 year career?


A) $11,390

B) $112,250

C) $123,640

D) 227,800

Answers

Electrician
$61 820 x 20 years
= $1 236 400

Social worker
$50 430 x 20 years
= $1 008 600

Difference
$1 236 400 - $1 008 600
= $227 800

A cylinder has a base diameter of 10cm and a height of 7cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer:

volume = 549.5 cm³

Step-by-step explanation:

base area m= πr² = (3.14)(5²) = 78.5 cm²

volume = base area x height = 78.5 x 7 = 549.5 cm³

Answer:

549.5 cm3

Step-by-step explanation:


What is the measure of each angle of an equilateral triangle?
A. O 90°
B. O 45°
C. 60°
D. 30°

Answers

Answer:

C) 60 degrees

Step-by-step explanation:

An equilateral triangle has all equal angles. We know that all the angles of a triangle add up to 180 degrees. Therefore 45+45+45=180 giving you an equilateral triangle angle measure.

The answer is 60 degrees I think!

For the right triangle shown, whih equation can be used to find the vaule of x

Answers

Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Juan ran the lemonade stand for 3 more days after his
first day profit of $12. Each day, he used the money
from sales to purchase more lemons, cups, and sugar
to make more lemonade. The table shows how much
he spent and earned each day
What is the expression needed to find his total
eamings?
52
16-7-22 - 12 - 18-9
16-22-18-7-12-9
16-22-18-7-12-9
16 - 7 + 22-12-18-9

Answers

The answer: C/16 + (–7) + 22 + (–12)

i need help with this
Quadrilateral
Kite
Trapezoid
Isosceles Trapezoid
None of these
Rectangle
Square
Parallelogram
Rhombus

those r the options

Answers

parallelogram
hope it helps
the shape is a trapezoid

A group Students is painting a background piece for the school play what is the area of the part that is painted grey?​

Answers

Answer:

108 inches

Step-by-step explanation:

6X6X3

Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20)

Answers

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

Find the area of the figure below.



Use numbers only in your answer.

The area is
in².

Answers

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

Answer:

42 in.²

Step-by-step explanation:

We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²

:DDD hope I was able to help

What is the area of the polygon? Show your work.​

Answers

Answer:

33 square units

Step-by-step explanation:

Assuming that each line on this grid increases by a value of one, the area of the polygon can be determined by breaking it down into a large rectangle and two smaller triangles.

Area of the rectangle

The area of a rectangle is simply [tex]A = bh[/tex], where b represents the base and h represents the height.

Counting the size of each side, we can determine that they are 6 units for the base and 4 units for the height.

Substituting in the values, we get:

[tex]A = (6)(4)\\A = 24[/tex]

The area of the rectangle is 24 square units

Area of the triangles

The area of a triangle is simply [tex]A = \frac{1}{2} bh[/tex].

The base of each triangle is 3, and the height of each triangle is also 3.

Substituting in the values, we get:

[tex]A = \frac{1}{2} (3)(3)\\A = \frac{1}{2} (9)\\A = 9 / 2\\A = 4.5[/tex]

The area of each triangle is 4.5 square units

Area of the polygon

To get the area of the polygon, we simply add up the area of the rectangle and both triangles

[tex]A = 24 + 4.5 + 4.5\\A = 24 + 9\\A = 33[/tex]

The total area of the polygon is 33 square units.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths. The machine has a dial that sets the length of the bars to be cut. However, the dial is currently out of alignment and the plant manager is collecting data to assess the situation. The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut. All measurements are in millimeters.
(a) Use the following grid to construct a scatterplot in which dial setting is the explanatory variable and output length is the response variable. Based on your graph, does a linear model seem appropriate? Justify your answer.
(b) Use the data to construct a least-squares regression line to predict output length from dial setting.
(c) Assume that all conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting
(d) The test statistic for the appropriate test is t=9.018. Do the data provide convincing statistical evidence that there is a linear relationship between output length and dial setting?

Answers

Check Attached Photos. Sorry, it didn't let me submit it through text because of "inappropriate language," despite me not having any in my answer.

For the plant which manufactures bars of steel, the conclusions are as follows;

A.  The scatter graph is shown.

B.  The equation is y = 2.204 + 1.007x

C.  Null hypotheses (H₀); β = 0

     Alternative hypotheses (Hₐ); β ≠ 0

D.  P-value (0.0001) is less than the significance level (α = 0.05).

What are null hypotheses and alternative hypotheses?

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

At a plant that manufactures bars of steel, a machine is used to cut the bars to specific lengths.

The machine has a dial that sets the length of the bars to be cut.

The dial is currently out of alignment and the plant manager is collecting data to assess the situation.

The following table shows 8 trials at different dial settings along with the actual output length of the bars that were cut.

All measurements are in millimeters.

Dail setting    Output length

     75                     78

     77                     79

     79                     82

     80                     83

     81                      85

     82                     83

     83                     86

     85                     88

A. The scatter plot is shown below.

Based on the scatter plot, a linear model seems appropriate to the model relationships between the dial setting of the machine and the output length of the steel bar.

The scatter plot shows the strong (r = 0.965), positive, linear association. There do not appear to be any outliners.

B.  From the data to construct a least-squares regression line to predict output length from dial setting. Then

y = (a + bx)

Let x be the dial setting machine and y be the output length of steel bars (in mm).

y = 2.204 + 1.007 x

C.  All conditions for inference are met. Indicate the hypotheses appropriate to test whether there is a linear relationship between output length and dial setting.

Let β be the true slope of the population regression line relating the dial setting of the machine (x) and the output length of the steel bars (y) at the manufacturing plant.

Null hypotheses (H₀) ; β = 0

Alternative hypotheses (Hₐ) ; β ≠ 0

Appropriate test = slope of regression line t-test.

D.  The test statistic for the appropriate test is t = 9.018 with 6 degrees of freedom (7 - 1)

The normal curve is shown;

Using calculator command t-CDF, with the alternative hypotheses as β≠0, then P-value = 0.0001.

In probability notation;

P(b≥0.017) = P(t≥9.018) = 0.00005

P-value = (2) × (0.00005) = 0.0001

P-value = 0.0001

Assume α = 0.05

Since our P-value (0.0001) is less than the significance level (α = 0.05), we do not convince statistical evidence that there is a linear relationship between output length and dial setting.

As the dial setting (x) increases, the output length of the steel bar (y) increases as well.

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Haley substituted the values of a, b, and c into the quadratic formula below.

x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+____x+____​

Answers

Answer:

f(x) =  

7

x2 +  

-10

x +  

-2

Step-by-step explanation:

Can Someone Help Me With This I Beg You.​

Answers

Pyramid hope this helps

Given the points A(4,6) and B(8, −2), what is the length of segment AB in units?
F √5
G 2√5
H 4√5
J 4

Answers

Answer:

Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]

Step-by-step explanation:

[tex]Y1 = 6[/tex]

[tex]Y2 = -2[/tex]

[tex]X1 = 4[/tex]

[tex]X2 = 8[/tex]

[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]

[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]

[tex]AB = \sqrt{16+64}[/tex]

[tex]AB = 4\sqrt{5}[/tex]

☆*: .。.。.:*☆☆.*: .。..。.:*☆☆*: .。.。.:*☆☆.*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

459,450,441, find the 37th term

Answers

Answer:

135

Step-by-step explanation:

So, our first term is 459.

Lets find what our change in terms is. To do this, lets subtract the frist term by the second:

459-450

This will get you 9.

Now that we know our change per term, lets find our 37th term.

All we need to do, is take our first term, and subtract it by our change in terms times the amount of terms.(Note that we already know are 1st term, so we are multiplying the change in terms by 36, not 37. )

So this is what we can use to solve for this:

459-(9x37)

This equals

135.

Hope this helps!

Step-by-step explanation:

first term = a = 459

common difference = d = 450 - 459 = -9

nth term = an

n = -9

an = a + (n-1)d

= 459 +(37-1)-9

= 459 + (36)-9

= 459 -324

= 135

37 th term = 135

plz mark my answer as brainlist if you find it useful for you. hope this will be helpful to you .

HELP ASAP!!!! 10 points!!

Answers

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

a)  (x+3)²

b) (w²-2)²

c) (xy-1)²

PLZZ HELP ME!!!

ANY LINKS WILL BE REPORTED

Find the volume of this object.

Answers

Answer:

24 will be your answer.

Step-by-step explanation:

Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.

Answers

Answer:

the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

Step-by-step explanation:

The computation of the cost of one cherry pie and the lemon meringue pie is shown below:

Let us assume the cherry pie be x

And, the lemon meringue pie be y

So according to the question

x + 5y = $69

5x + 7y = $129

Now multiply by 5 in the equation 1

5x + 25y = $345

5x + 7y = $129

18y = $216

y = $12

And, x would be

x + 5($12) = $69

x = $9

Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively

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