Jennifer serves the volleyball to Marsha with an upward velocity of 10.5 ft/s. The ball is 5 feet above the ground when she strikes it. How long does Marsha have to
react, before the volleyball hits the ground? Round your answer to two decimal

Answers

Answer 1

Answer:

  0.98 seconds

Step-by-step explanation:

We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.

__

motion equation

The general form of the equation of height for ballistic motion is ...

  [tex]h(t)=-16t^2+v_0t+h_0\qquad\text{$v_0$ and $h_0$ are the initial velocity and height}[/tex]

The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.

For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...

  h(t) = -16t² +10.5t +5

__

reaction time

Marsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...

a = -16b = 10.5c = 5

The solution is ...

  [tex]t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}= \dfrac{-10.5\pm\sqrt{10.5^2-4(-16)(5)}}{2(-16)}\\\\=\dfrac{10.5\pm\sqrt{430.25}}{32}=\dfrac{21\pm\sqrt{1721}}{64}[/tex]

The positive solution is ...

  t ≈ 0.976327 ≈ 0.98

Marsha has about 0.98 seconds to react before the volleyball hits the ground.

_____

Additional comment

After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.

Jennifer Serves The Volleyball To Marsha With An Upward Velocity Of 10.5 Ft/s. The Ball Is 5 Feet Above

Related Questions

Sketch the graph of y = –1.5(4)x. Then state the function’s domain and range.

Answers

The plot of the graph  y = –1.5(4)^x is shown below of which its domain and range exist on all real values

Exponential equation

The standard exponential function is expressed as y = ab^x

where

a is the base valuex is the exponent

The exponential function shows an increase along the y-axis and towards the x-axis

According to the equation, we are to plot the graph  y = –1.5(4)^x of which its domain and range exist on all real values

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What is the solution to √6x-3 = 2√x?

Answers

Answer:

the answer is B

Step-by-step explanation:

the answer is B if it correct  can i have brainalliest

Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3?

Answers

The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

what is the graph of logarithmic function?

The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right

if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.

Given graph : y = ln(x), has a vertical and horizontal translation.

As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.If ln(x + k), then the graph is translated left k units.If ln(x) + h, then the graph is translated up h units.If ln(x) - h, then the graph is translated down h units.

Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

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Which expression is not a polynomial?

Answers

Answer:

the first choice is not a polynomial because you can't divide by a variable.

Solve the system of equations by substitution.
-3x - 2y + 2z = 19
2x + y + 3z = -20
Z = -2

Answers

Answer:

Step-by-step explanation:

-3x - 2y + 2(-2) = 19

-3x -2y - 4 = 19

-3x - 2y = 23

2x + y - 6 = -20

2x + y = -14

-3x -2y = 23

2x + y = -14

-3x - 2y = 23

4x + 2y = -28

x = -5

-10 + y = -14

y = -4

x= -5, y = -4, z= -2

the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16

Answers

The missing number given the mean of the data set is 16.

What is the missing number?

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

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Problem is in the picture

Answers

The height of a woman whose femur (f) measures 49 centimeters is equal to 173.15‬ centimeters.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship that exists between two or more variable of a data set.

In order to determine the height of a woman whose femur (f) measures 49 centimeters, we would substitute this numerical value into the first function as follows:

G(f) = 2.57f + 47.22

G(49) = 2.57(49) + 47.22

G(49) = 125.93 + 47.22

G(49) = 173.15‬ centimeters.

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Find the solutions of each equation on the interval
(SHOW WORK)

Answers

im not in collage but I'll try ok so its most likely

Factor then solve to find the complex solutions.

x=2πn, for any integer n

if i was right could i get brainly?

vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months and vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months
how do I solve this and do I have enough information to answer the question and what step would take to solve the problem and how do I calculate the results

Answers

The calculation of the interest based on the price given shows that vehicle B has a lower interest.

How to calculate the price?

From the information given, vehicle A has a final sale price of $25,000 at 5% interest and financing up to 60 months. The interest will be:

= (25000 × 5 × 5)/100

= $6250

Vehicle B has a final sale price of $29,000 at 4% interest and financing up to 60 months. The interest will be:

= (29000 × 4 × 5)/100

= $5800

Therefore, the calculation of the interest based on the price given shows that vehicle B has a lower interest.

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what percentage of 5/2 hours is 15 minutes?​

Answers

Answer:

10 %

Step-by-step explanation:

15 mn = 1/4 h

We have :

[tex]\frac{\frac{1}{4} }{\frac{5}{2} } =\frac{1}{4} \times \frac{2}{5} =\frac{2}{20} =\frac{1}{10}=0.1[/tex]

Then the percentage that 15 mn represents of 5/2 h is :

0.1 × 100 = 10 %

sanjana wrote the cross multiplication property for her proportion: xt=uy

Answers

Answer:

what does this mean. oh wAit iM dematerializinG mvxhkgd

hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd

The graph of function g (x) predicts the profit of jimmy's famous Jer*y for a week. The x-axis represents the number of employees earning overtime for the week. The y-axis is the business's profit for the week in hundreds of dollars.

Answers

By identifying the maximums, we see that in each blank we need to write:

1) 2

2) 2

3) greater.

How to complete the given statement?

First, we need to find the maximum of the function g(x).

You can see that for x = 2 we have the maximum of the parabola, which gives y = 9.

Then the maximum profit is got when 2 employees earn overtime.

We also need to find the maximum for the table. Notice that the maximum value of the table also happens for x = 2, and this time the maximum is y = 16.

So we can see that the maximum of Cathy's cupcakes is larger than the maximum of Jimmy's.

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What is answer? (-4589)+(+7658)=

Answers

Answer: Heyaa! ~

Your Answer is 3069

Step-by-step explanation:

(-4589)+(+7658)= 3069

Simplify the expression.Add together.

Hopefully this helps you! ~

Solve the proportion 60/n = 20/7

Answers

Answer:

The answer is zero there is no solving.

Step-by-step explanation:

cause you do

60/n=20/7, and then you move all the terms to the left

now it is: 60/2-(20/7)=0

the domain to this is n=0

add the numbers and variables together and get

60/n-(+20/7)=0 now get rid of the parentheses and now you got

60/n-20/7=0

and all that is 0

kinda hope this help lol

rotation 180° about the origin

Answers

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).

Step-by-step explanation:

The rotation of angle 180 degree about origin is described below.

Rotation 180° about the origin is a geometric transformation that involves rotating a figure or shape around the point (0,0),

Also known as the origin, by an angle of 180 degrees.

This means that every point on the shape is moved to an equal distance away from the origin but on the opposite side of the origin.

This transformation is a reflection where the shape is flipped along,

the x-axis or y-axis or both, depending on the shape's orientation.

The rotation 180° about the origin is a common transformation in various geometrical applications, such as computer graphics, engineering, and physics.

It is a simple transformation that can be easily represented and performed using matrices or complex numbers.

Therefore,

rotation 180° about the origin is a geometric transformation that is important in various applications and involves rotating a shape around the origin by an angle of 180 degrees, resulting in a reflection of the shape across the x or y-axis.

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JK ∥ NM. If JL = 32, LM = 20, and JK = 60, what is the length of NM

Answers

Answer:

NM= JL + LM + JK

NM= 32 + 20 + 60

NM= [112]

NM= 10,58

Step-by-step explanation:

Hope it helps!!

Please help. Trigonometric ratios ​

Answers

Question 2.1.1

Answer:  5 units

Reason:

Use the distance formula to find the distance from the origin (0,0) to the terminal point (-3, 4)

[tex](x_1,y_1) = (0,0) \text{ and } (x_2, y_2) = (-3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-(-3))^2 + (0-4)^2}\\\\d = \sqrt{(0+3)^2 + (0-4)^2}\\\\d = \sqrt{(3)^2 + (-4)^2}\\\\d = \sqrt{9 + 16}\\\\d = \sqrt{25}\\\\d = 5\\\\[/tex]

The pythagorean theorem is a similarly related alternative path you can take.

This triangle is a 3-4-5 right triangle.

====================================================

Question 2.1.2

Answer:  1/5

Reason:

r = distance from origin to terminal point

r = 5, calculated back in the previous problem above.

sin(alpha) = y/r = 4/5

cos(alpha) = x/r = -3/5

sin(alpha)+cos(alpha) = (4/5)+(-3/5) = 1/5

====================================================

Question 2.1.3

Answer:  1

Reason:

Recall that tangent is the ratio of sine over cosine

tan = sin/cos

Therefore,

[tex]\tan(\alpha) *\frac{\cos(\alpha)}{\sin(\alpha)}\\\\\frac{\sin(\alpha)}{\cos(\alpha)}*\frac{\cos(\alpha)}{\sin(\alpha)}\\\\\frac{\sin(\alpha)*\cos(\alpha)}{\cos(\alpha)*\sin(\alpha)}\\\\1[/tex]

This assumes that neither sin(alpha) nor cos(alpha) are zero. Otherwise, we have a division by zero error.

What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?

Answers

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

5) Kerjakan perkalian dibawah ini
82
44
X

Answers

Answer:

1. 3608

2.3956

3. 714

Step-by-step explanation:

jap darab ke apa ni

What is the measure of x

Answers

Answer:

58 degrees

Step-by-step explanation:

XYZ is 90 degrees. XYO is 32 degrees. Angle x takes up the space leftover in the right angle, so simply subtract 32 from 90.

90-32= 58

Hope this help! (if it does pls consider giving me brainliest)

I need help with this problem

Answers

Answer:

sorry i can't see it properly I am very sorry

Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.

Answers

Answer:

The answer is below :

Which function is being graphed below?

Answers

The absolute function will be f(x) = | x - 5 | - 4.

What is an absolute function?

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x - h | + k

Where h,k is the vertex of the absolute function.

f(x) = | x - 5 | - 4

Therefore the absolute function will be f(x) = | x - 5 | - 4.

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An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. If the airline wants to fill all the seats on the flight, how many tickets should it sell?

Answers

Taking into account the definition of ratio and proportion, the airline should sell 440 tickets.

What is ratio and proportion

The ratio is the comparison of two quantities and is measured from the division of two values.

The relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if [tex]\frac{a}{b}[/tex] corresponds to the ratio, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] equals a proportion.

Amount of tickets sold

An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. The airline wants to fill all the seats (100%) on the flight.

This can be represented by the proportion:

[tex]\frac{374}{85}[/tex] = [tex]\frac{amount of tickets}{100}[/tex]

Solving:

amount of tickets= 100×[tex]\frac{374}{85}[/tex]

amount of tickets= 440

Finally, the airline should sell 440 tickets.

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Need help ASAP


Stuck on this question and need help

Answers

Answer:

Factory A = 1200

Factory B= 1350

Factory C= 1050

Factory D = 1100

Step-by-step explanation:

Factory B as the fastest rate of production

Lucky Champ owes $204.00 interest on a 8% loan he took out on his March 17. The loan is due on August 17. What is the principal?

Answers

Answer:

2,550 dollars hope u get a good grade

Step-by-step explanation:

the andswer is 220.32

Step-by-step explanation:

when you take 204 times the 8percent interest

204 x .08

you get 16.32

now add 16.32 and 204 and thats what you owe for your loan

How to calculate the area of trapezium B using the scale factor

Answers

Answer:

  612.5 cm²

Step-by-step explanation:

The ratio of areas of similar figures is the square of the scale factor. The scale factor is the ratio of corresponding side lengths. Here, we must find the scale factor.

__

missing side of A

The only given side of trapezium B corresponds to an unknown side of trapezium A. We can find the length of that unknown side using the area formula.

  A = 1/2(b1 +b2)h . . . . . parallel sides b1, b2; height h

  98 cm² = 1/2(16 cm +b2)(7 cm) . . . . use known values

  28 cm = 16 cm +b2 . . . . . . . . . . divide by 3.5 cm

  b2 = 12 cm . . . . . . . . . . . . . . subtract 16 cm

The top side of trapezium A is 12 cm long.

scale factor

Now we have the lengths of corresponding (top) sides, so we can find the scale factor. It is their ratio. We choose to express it as (size of B)/(size of A).,

  k = (30 cm)/(12 cm) = 2.5

area of B

The area of trapezium B will be that of trapezium A multiplied by the square of the scale factor:

  area B = (k²)(area A) = (2.5²)(area A)

  area B = 6.25×98 cm² = 612.5 cm²

The area of trapezium B is 612.5 cm².

for each circle , work out​

Answers

Answer:

Formulas

[tex]\textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Area of a semicircle}=\dfrac{1}{2}\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

[tex]\textsf{Radius of a circle}=\sf \dfrac{1}{2}d\quad\textsf{(where d is the diameter)}[/tex]

[tex]\textsf{Perimeter of a semicircle}=r(\pi +2) \quad \textsf{(where r is the radius)}[/tex]

Use the above formulas to calculate the various measurements, remembering to calculate the radius first when given the diameter.

Question 9

a) Radius = 2.7 cm

[tex]\implies \textsf{Area}=\sf \pi (2.7)^2=22.9\:\:cm^2\:(1\:d.p.)[/tex]

[tex]\implies \textsf{Circumference}=\sf 2 \pi (2.7)=17.0\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

b)  Diameter = 45 mm

[tex]\sf \implies Radius =\dfrac{45}{2}=22.5\:\:mm[/tex]

[tex]\implies \sf Area= \pi (22.5)^2=1590.4\:\:mm^2\:(1\:d.p.)[/tex]

[tex]\implies \sf Circumference= 2 \pi (22.5)=141.4\:\:mm\:(1\:d.p.)[/tex]

Question 10

a)  Radius = 8.5 cm

[tex]\implies \sf Area=\dfrac{1}{2}\pi (8.5)^2=113.5\:\:cm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=8.5(\pi +2)=43.7\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

b)  Radius = 24 mm

[tex]\implies \sf Area=\dfrac{1}{2}\pi (24)^2=904.8\:\:mm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=24( \pi +2)=123.4\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

c)  Diameter = 32 cm

[tex]\sf \implies Radius =\dfrac{32}{2}=16\:\:cm[/tex]

[tex]\implies \sf Area=\dfrac{1}{2}\pi (16)^2=402.1\:\:cm\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=16( \pi +2)=82.3\:\:cm\:(1\:d.p.)[/tex]

-----------------------------------------------------------------------

d)  Diameter = 15 m

[tex]\sf \implies Radius =\dfrac{15}{2}=7.5\:\:m[/tex]

[tex]\implies \sf Area=\dfrac{1}{2}\pi (7.5)^2=88.4\:\:m\:(1\:d.p.)[/tex]

[tex]\sf \implies Perimeter=7.5( \pi +2)=38.6\:\:m\:(1\:d.p.)[/tex]

Which clock shows 11:22?

A.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 3.
B.
A clock shows the hour hand slightly past 11 and the minute hand at 6.
C.
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
D.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 2.

Answers

Answer:

Option C

Step-by-step explanation:

A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.

What is the area of this rectangle? (4 points)

A rectangle completely covered in square units is partitioned into two rectangles. The first rectangle has a measurement of four centimeters along the top and seven centimeters along the side. The second rectangle has a measurement of two centimeters along the top and seven centimeters along the side.

Answers

Answer:

42 cm

Step-by-step explanation:

The first rectangle has a length of 4 and a Width of 7. the second rectangle has a length of 2 and a width of 7.

The formula for area of a rectangle is A=l*w

SO,

Rectangle 1: A= L*W

A=4*7

A=28

Rectangle 2:

A=L*W

A=2*7

A=14

Now, add both areas since they are both part of one whole recatngle.

28+14

= 42

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