A batter hits a fly ball. a scout in the stands makes the following observations. TIME (SECONDS) .75 1.5 2 2.75 3.25 4.75 HEIGHT (FEET) 77 133 160 187 194 169 What type of function that best models this data. use a graphing calculator to perform the regression for the best fit equation. write the resulting equation below, rounding to the nearest hundredth. determine the initial velocity of the baseball and the height of the ball when hit. round to the nearest hundredth. calculate how many seconds an outfielder has to position himself for the catch if he intends to catch the ball 6 feet above the ground. show your work and round to the nearest hundredth.

Answers

Answer 1

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.

 A Batter Hits A Fly Ball. A Scout In The Stands Makes The Following Observations. TIME (SECONDS) .75

Related Questions


Find the least common denominator (LCD) of
3
7
and
5
8

Answers

Answer:

56

Step-by-step explanation:

7 is a prime number

7*8 = 56

The least common denominator is 56

3/7 * 8/8 = 24/56

5/8*7/7 = 35/56

Answer:840  

Step-by-step explanation:

which one isn’t a function ?

Answers

Answer:

D isn't a function because points intersect vertically on the graph

Step-by-step explanation:

What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9

Answers

Answer:.1.77

Step-by-step explanation:

e^x = 5.9

Take the natural logarithm of both sides

x = ln (59/10)

x = 1.77

Answer: x=1.77

Step-by-step explanation:

A P E X

Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.

Answers

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent

Answers

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!

Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?

Answers

Answer:

$5107.20

Step-by-step explanation:

His pay after he was caught once

133x 8=1064

1064x 20% = 212.8

1064-212.8=851.2

1064x 4= 4256

4256+ 851.2=5107.2

line q goes through points (-3,3) and (-5,-3). At what point does line q cross the y-axis

Answers

Answer:

(0,12)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

What is the area of the shaded region to the nearest tenth of a foot?

Answers

It would be 294 because you are multiplying them together

Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.

Answers

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

you can choose more than 1

Answers

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

If 50% of an item is 22.00 what is the original price ?

Answers

Answer:

$44

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Look at the pic in the corner it’s math

Answers

Answer:

The third one

Step-by-step explanation:

Its because we need to find the number that it has grown.

so we add the number that it grew to the size it was before.

Answer: 1.85 + x = 5.30

Step-by-step explanation: If we know that Ethan planted a tree that was 1.85 meters tall from the start and several years later it's 5.30 meters tall, we know that something must have been added to the 1.85 in order to get 5.30 meters tall. Since we don't know what that value is, we can use x.

X is an example of a variable. A variable is just a letter that represents any number so in this case, it represents how much the tree has grown over a time period of several years.

So we can write this as 1.85 + x = 1.30.

(02.06)
A pair of parallel lines is cut by a transversal:
X
15
80
What is the measure of angle x? (4 points)

Answers

The measurements of an angle X is 80

What is the exponential form of log4 16 = 2?

Answers

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

need help quick plz​

Answers

I’m gonna say it’s A?

PLZ I need help with the first problem!

Answers

Answer:

5/32

Step-by-step explanation:

You would change 1/2 to 2/4 so you can subract 1/2 from 3/4 .You do 3/4-2/4 and you get 1/4.Then you would multiply the height and width so you multiply 1/4 and 1 1/4 and 1/2.

Find Volume of water.

V=lwh

V= 1/2 x 1/2 x 5/4

V=5/16.

Find Volume of The whole shape.

V=lwh

V= 1/2 x 5/4 x 3/4

V=15/32.

Subtract : 15/32-5/16=5/32

VOLUME OF MISSING PART = 5/32 meters cubed

In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140

Answers

The solution is, the value is 35 degrees, is the measure of ZXYZ.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The solution is, the value is 35 degrees, is the measure of ZXYZ.

To learn more on angle click:

brainly.com/question/28451077

#SPJ7

Find the quotient.

1. 48÷3=
.

2. In the expression, 96 divided by 8 = a , the quotient a =
.

3. Divide 12 lizards into 6 equal groups. How many lizards are in each group?
There are
lizards in each group.

Answers

Answer:

48÷3=16

Step-by-step explanation:

In the expression, 96 divided by 8 = a , the quotient a =12

. Divide 12 lizards into 6 equal groups. How many lizards are in each group?

There are2

lizards in each group.

Answer:

1.    16

2.   6

3.    2

Step-by-step explanation:

(-4, -5) (3, 4) Slope:



(0, -2) (5, -1) Slope:



(-5, -1) (5, -3) Slope:



(-5, -5) (-1, 5) Slope:



(-2, 0) (4, 1) Slope:
I WILL GIVE BRANLIEST

Answers

Answer    

1.M=1

2.3/5

3.(NO SOLUTION)

4.0

5.1/2 =0.5

Step-by-step explanation:

Y=mx+b

M=(Y2)+(y1)/(x2)+(x1)

1. x1  y1    x2   y2

    (-4 , -5) , (3 , 4)

Slope:

M=(4)+(-5)/(3)+(-4)

=-1/-1= 1

2. x1  y1    x2   y2

    (0 , -2) , (5, -1)

Slope:

M=(-1)+(-2)/(5)+(0)

=-3/5

3. x1  y1    x2   y2

    (-5 , -1) , (5 , -3)

Slope:

M=(-3)+(-1)/(5)+(-5)

=- 4/0=(NO SOLUTION)

4. x1  y1    x2   y2

    (-5, -5) (-1, 5)

Slope:

M=(5)+(-5)/(-1)+(-5)

= 0/-6 =0

5. x1  y1    x2   y2

    (-2, 0) (4, 1)

Slope:

M=(1)+(0)/(4)+(-2)

= 1/2 =0.5

Jackson at the collectibles fair. He has exactly $8 and will purchase a collectible from a vendor for $5. What percent of his money will Jackson spend on the purchase?

Answers

Answer:

62.5%

Step-by-step explanation:

Total money with Jackson = $8

Money spent for buying collectible  = $5

__________________________________________________

Percentage of any number A with respect to another number B is calculated by multiplying fraction A/B with 100

Numerically A as percentage of b will be expressed as (A/B)100 %

It means that if there are 100 items instead of B item then what will be the value of A.

______________________________________________________

Percentage of money spent = (Money spent for buying collectible /Total money with Jackson)

Substituting the total money and money spent for buying collectible

we have

Percentage of money spent  = 5/8 * 100 = 0.625*100 = 62.5%

Thus, 62.5% percent of his money will Jackson spend on the purchase of collectible.

The ratio of the measures of two supplementary angles is 8:4. What is the measure of
the smaller angle?

Answers

Answer:

the smaller angle = 4x = 4*15 = 60 degrees

Step-by-step explanation:

what is the answer to:

16^3/2​

Answers

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

[tex]= (4^2)^{\frac{3}{2} }[/tex]

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

what is

A, 80cm : 2.5

B,4kg : 1600g

C,5m : 500m

d, 800g : 2kg

f, 5days : 5weeks

h,40sec : 1min

j, 800ml : 1l

l, 10cm : 80cm

pls tell me the answers i will give 5stars

Answers

Answer:

......

Step-by-step explanation:

b)4kg:1600g

convert 4kg to grams

4000g:1600g

then divide

=5g:2g

then convert 5g into kg

=0.005kg:2g

f)5 days:5 weeks

multiply 5weeks by 7 u will get 35

5days :35dys then divide by 5

1:7days

=1 day:1 week

h)40 sec:1 min

40 sec:60 sec

then divide both of them by 2

2 sec:3 sec

then take 3 ÷60=0.05 min

=2 sec:0.05 min

The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .

Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded

The quotient is ____.

Answers

3/4 divided by 3/8 is 2
The correct answer is 2

If cos omega =
3
5
find tan omega

Answers

Answer:

mmm 30

Step-by-step explanation:

what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)

Answers

Answer:

To find y intercept x should be 0.

And in this.

Y=4x.3x

Y=4*0*3*0

Y=0 answer.

Line segments AB and BC are tangents to Circle P. What is the value of x?
a.117
b.73
c.107
d.146

Answers

Answer:

c. 107°

Step-by-step explanation:

In the figure attached, Circle P, segments AB and BC, and angle x are shown.

From circumscribed angle theorem, we know that angle ABC and angle x are supplementary, then:

x + 73° = 180°

x = 180° - 73°

x = 107°

Tom and Sam can finish a plowing job in two hours. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?

Answers

Answer:

Step-by-step explanation:

1X+17=121X+17=12

1X=12−171X=12−17

1X=72×7−27×21X=72×7−27×2

1X=7−2141X=7−214

1X=5141X=514

Taking inverse on both sides

X=145=2.8 hoursX=145=2.8 hours

The time taken by Sam is 2.8 hours.2.8 hours.

Solve the problem in the image above

Answers

Answer:

Step-by-step explanation:

3[tex]x^{4}[/tex]

Answer: 9 √(3^x6)

Step-by-step explanation:

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