The first equation in the system models the height, h, of a falling volleyball as a function of time, t. the second equation models the height, h, of the hands of a player jumping up to spike the ball as a function of time, t. which statement describes the situation modeled by this system?

Answers

Answer 1

The volleyball is 14 feet above the ground at the instant the player begins her jump.

What is the equation of motion?

It is defined as the equation by which we can find the motion of a physical particle with respect to time. It is the representation of physical entity movement in a mathematical function.

We have two equation for two different situations:

[tex]\rm h(t) = 14 - 16t^2\\[/tex]              (falling volleyball as a function of time t)

[tex]\rm h(t) = 7+24t-16t^2[/tex]       (the hands of a player jumping up to spike the    

                                        ball as a function of time t)

First, we have to find the height of the ball above the ground at the instants the player begins to jump:

At t = 0 when the player begins to jump

Put t = 0 in the second equation, we get:

[tex]\rm h(0) = 7+24\times 0-16\times0^2[/tex]

Height of the hand, h = 7 units

Now put t = 0 in the first equation, we get;

[tex]\rm h(0) = 14 - 16\times0^2[/tex]

h = 14 units.

Thus, the volleyball is 14 feet above the ground at the instant the player begins her jump.

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Answer 2

Answer:

the answer is B on E 2020

Step-by-step explanation:

cuz i said so :|


Related Questions

PLEASE HELP this is a missing assignment i will mark brainliest

Answers

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division

The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

How to divide the polynomial?

The polynomial functions are given as:

a(x) = -18x² - 6x + 12

b(x) = 3x³ + 9x - 1

The quotient equation is given as:

a(x)/b(x) = q(x) + r(x)/b(x)

Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:

q(x) = 0

And the remainder r(x) is:

r(x) = a(x)

Substitute known values

r(x) = -18x² - 6x + 12

Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

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Mary made $144 for 8 hours of work.
At the same rate, how much would she make for 12 hours of work?

Answers

Answer:

$216

Step-by-step explanation:

Find how much Mary made per hour by dividing 144 by 8 to get 18. Then, multiply that number by 12 which $216

Answer:

$216

Step-by-step explanation:

First, find out what Mary makes every hour. To find this, we divide 144 by 8.

144/8 = $18

This means that Mary makes $18 per hour.

Now, we find out how much Mary would make if she worked for 12 hours:

x = # of hours worked

18n

18(12)

$216

Therefore, Mary would make $216 in 12 hours.

Hope this helps!

I WILL GIVE BRAINLEIST!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.

200-meter sprint: mean absolute deviation of 2.05

400-meter hurdles: mean absolute deviation of 2.82

800-meter run: mean absolute deviation of 1.9

In which event were her times the most spread out?


A. 200 meter sprint

B. 800 meter run

C. 400 meter hurdles

Answers

Answer:

ill say C too

Step-by-step explanation:

Answer:The answer is 400

I hope this helps have a great day!

Step-by-step explanation:

When Lisa first planted the cherry tree in her yard, it was 30 feet tall. Now it is 80% taller.
How tall is the tree now?

Answers

As a wife, Mrs. Mallard was not free. That's why, when she heard her husband had died, she was not sad. She thought of all the hours that would now be hers alone. She no longer had to obey anyone -- she was finally free.

X-
On a piece of paper, graph y+4<3x – 1/2x - 2. Then determine which answer
choice matches the graph you drew.
A
B
C
D


6
-10
5
(4.-4)
(4.-4)
(4.-4)
(4.-4)
(0.-6)
(0.-6)
6.
(
0-6)
0.-6)
O A. Graph A
B. Graph B
C. Graph
D. Graph D

Answers

Answer:

c

[tex]6.46 \geqslant \frac{ { {x \sqrt[ |)x \frac{ {?}^{?} }{?} | ]{?} }^{?} }^{2} }{?} [/tex]

d

The graph of the inequality is attached to the solution.

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given is an inequality, y+4 < 3x - 1/2x - 2, we need to graph it,

This graph represents inequality y+4 < 3x - 1/2x - 2,

Learn more about graph,

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help solve for number 5 please
:)

Answers

(x+2)/3 = (3x-2)/6

6(x+2) = 3(3x-2)

6x+12 = 9x-6

12+6 = 9x-6x

18 = 3x

x = 6

please help i need help

Answers

Answer:  

[tex]\mathrm{Slope = \dfrac{1}{2}}[/tex]

Step-by-step explanation:

To find the slope of a graph, we use the formula below:

[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]

m = slope

(x1, y1) = coordinates of first point in the line

(x2, y2) = coordinates of second point in the line

Step 1: Find any two points on the line

Lets choose: (0, 3) and (2, 4)

Step 2: Put these points into the slope formula

[tex]\mathrm{m =\dfrac{y\x_{2}-y\x_{1}}{x\y_{2}-x\y_{1}}}[/tex]

Step 3: Substitute points into formula

[tex]\mathrm{m =\dfrac{4-3}{2-0}}[/tex]

Step 4: Subtract 3 from 4 and 0 from 2

[tex]\mathrm{m =\dfrac{1}{2}}[/tex]

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

Another way you could easily do this is:

Step 1:  Find two ponts on the line

For this problem, let's use (0, 3) and (2, 4)

Step 2: Then from the first point, how much do you need to go up and to the left or right to get to the second point

For this problem, we start on the on the point (0, 4) and go up by 1 and then to the right by 2

Step 3: Then you do rise over run to get the slope

The slope is rise over run:

Rise = 1

Run = 2

So, the slope is 1/2

________________________________________________________[tex]\mathrm{Answer:\dfrac{1}{2}}[/tex]                                                                                                                     ----------------------------------------------------------------------------------------------------------    

Nevaeh has 840 pictures saved on her laptop. Of these
pictures, 20% are nature, 45% are fashion, and the rest
are food. How many pictures in Nevaeh’s computer
are food?

Answers

Answer:

40%

Step-by-step explanation:

20+45=60

100-60=40

Suppose a is between 4 and 5, and b is between 2 and 4. Find all possible values of the expression a/b

Answers

first im guessing its 4 and 1/2

and the second is 3

Lola and her school had a fun run, she donated 300 dollars, and the rest of her classmates donated 230 dollars. How much would they earn altogether? (She has 17 classmates)

Answers

If the classmates donate $230 each, then the answer would be:

( 230   ×   17 )   +   300 =   4,210

If they donated 230 altogether, then the answer would be:

300   +   230 =   530

Please help me with this math problem!! Will give brainliest! :)

Answers

Answer:

I believe it is 6 but I'm not sure

Step-by-step explanation:

Sorry I am unsure

Step-by-step explanation:

the function for x≥—1 is x²—3

so f(3) = 3²—3=9—3=6

Find the equation of the line shown

Answers

y=x+1.
Explanation: The equation for any straight line graph is y=mx+c where m is the gradient and c is the y-intercept. To find the gradient you have to do the change in y divided by the change in x. So it’s 1. The y-intercept is where the line crosses the y axis so in this graph it’s 1.

A triangle has one side that measures 9 units, another side that measures x, and a third side that measures 2 units more than x. The perimeter is 29 units.

Which equation would we use to find the value of x?

Answers

Answer:

9+x+(x+2)=29

Step-by-step explanation:

9+x+(x+2)=29

Simplify this as much as you can

Answers

Answer:

-276^10 c + 156^6 c ^6 - 21b^4 c ^6

Step-by-step explanation:

If 1 - cosA= 1/2 show that tan²A + 4sin²A = 6​

Answers

[tex]\text{Given that,}\\\\1-\cos A = \dfrac 12\implies \cos A = 1-\dfrac 12 = \dfrac 12\\\\\text{L.H.S}\\\\=\tan^2 A + 4 \sin^2 A\\\\=\dfrac{\sin^2 A}{\cos^2 A}+4(1-\cos^2 A)\\\\\\=\dfrac{1-\cos^2 A}{\cos^2 A} +4-4\cos^2 A\\\\\\=\dfrac{1-\left( \dfrac 12 \right)^2 }{\left(\dfrac 12 \right)^2 } +4 -4 \left( \dfrac 12 \right)^2\\\\\\=\dfrac{1- \dfrac 14}{\dfrac 14}+4-4\cdot \dfrac 14\\\\\\=\dfrac{\tfrac 34}{\tfrac 14}+4-1\\\\\\=\dfrac 34 \cdot 4 +3\\\\=3+3\\\\=6\\\\=\text{R.H.S}[/tex]

A restaurant used 231 eggs last week. Of these, 46 were brown. The remaining eggs were white. Which equation can be used to solve for w, the number of white eggs used last week?

Answers

w = 231 - 46

hope it helps...!!

Answer:

185

Step-by-step explanation:

[tex]x + 46 = 231 \\ x = 231 - 46 \\ x = 185[/tex]

big pts. no links pls help with explanation
AND BRAINLEST

James opens 2 different savings accounts and deposits $12,000 into each one.


Account I earns 2.2% interest compounded annually.

Account II earns 2.2% annual simple interest.

There are no additional deposits or withdrawals.

What is the sum of the total balances of these accounts at the end of 7 years?


Question 7 options:


$27,168.00



$27,696.00



$27,949.08



$27,822.53

Answers

Answer:

The answer to this is D $27,822.53

Step-by-step explanation:

Answer:

27,822.53

Step-by-step explanation:

−2x+3y=0
2x+2y=20
answer options
no solution
infinitely many soultions
(6,-4)
(6,4)

Answers

(6,4)

You add both equations since -2x and 2x will cancel.
Becomes
5y=20
Y=4

Plug in y into equation
2x+2(4)=20
X=6

Answer:

(6,4)

Step-by-step explanation:

First we must cross out the -2x and 2x since they're both opposites of each other and thus they cancel each other out.

Now we have:

3y = 0

2y = 20

So next we add the 3 and 2 to get 5y, and then we add 20 and 0 to get 20.

So now we have:

5y = 20

And so we'll simply divide by 5 on both sides, and the answer is y = 4.

Now normally we would plug 4 back in to one of the equations to solve for x, but since only one of the answer choices has 4 in the y position, we can already tell that (6,4) is the answer.

Hope this helps you. Sorry if it doesn't though.

What value of x is in the solution set of 9(2x 1) < 9x – 18? –4 –3 –2 –1

Answers

Inequalities help us to compare two unequal expressions.  The value of x which is the solution set of 9(2x+1)<9x–18 is -4.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

To know which value will satisfy the inequality we need to substitute each of the values into the inequality,

A) x=-4

[tex]9(2x+1) < (9x-18)\\\\9[2(-4)+1] < [9(-4)-18]\\\\9(-8+1) < (-36-18)\\\\9(-7) < -54\\\\-63 < -54[/tex]

Since the inequality is satisfied this is the solution set of the inequality.

Thus, the value of x which is the solution set of 9(2x+1)<9x–18 is -4.

Learn more about Inequality:

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When the research hypothesis predicts the direction of a relationship, the test is ______. a. direct b. two-tailed c. one-tailed d. positive

Answers

Answer:

c. one-tailed

Step-by-step explanation:

i think its this because i say so now trust :)

Triangle EFG has an area of 70 m².

EF: FG= 1:2 and angle EFG = 40°.

(a) Calculate EF.

Answers

The measure of length EF is the triangle EFG has an area of 70 m² is 7.38m

How to calculate the area of a triangle?

A triangle is a 2-dimensional shape with 3 sides and angles. The formula for calculating the area of a triangle is expressed as:

A = (EF)(FG) sin theta

If the ratio of EF to FG is 1:2, then FG = 2EF
A = (EF)(2EF) sin theta
70 = 2EF²sin40
70 = 1.2856EF²
EF² = 54.474
EF = 7.38m

Hence the measure of length EF is the triangle EFG has an area of 70 m² is 7.38m

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Need help 10 points

Answers

Answer:

have you missed out any option cause i doeant match with any of your options

Hello! I believe the answer you’re looking for is B. If the > or < has a line under it, the circle will be colored in.

Charles bought 11 bottles of juice for $22.33. What is the unit rate?

Answers

$2.03. The unit rate is the price of one bottle of juice. To solve this simply divide $22.33 by 11.

nina ran 6 miles in 49.2 minutes. if she keeps the same pace, how long will it take her to run 13 miles?

Answers

Answer:

106.6 minutes

Step-by-step explanation:

49.2/6 = 8.2

8.2x13 = 106.6

Miguel cabrera has had 369 at bats, and he has 127 hits and 21 home runs. (note: the home runs are included in the hits data.) if he is challenged to a batting battle, what is the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run?

Answers

The expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Number of bats = 369

Number of hits = 127

Number of home runs = 21

The probability of a hit:

[tex]=\frac{127}{369}[/tex]   (includes home run)

The probability of home run:

[tex]=\frac{21}{369}[/tex]

The probability of hit run(without home run)

[tex]=\frac{127}{369}-\frac{21}{369}[/tex]

[tex]=\frac{106}{369}[/tex]

The probability of no hit:

[tex]=\frac{369-127}{369}[/tex]

[tex]=\frac{242}{369}[/tex]

For home run, the score will be 5 points.

If not, a home run score will be 1 points.

If Miguel does not get hit, score will be zero point.

Expected value of Miguel hit at each bat is (without home run):

For 5 hit:

[tex]=\frac{106}{369}[/tex]

For 21 home runs, the points will be 21×5 = 105  (5 points for each home run)

The expected value for this:

[tex]\frac{105}{369}[/tex]

Adding both expected hits, we get:

[tex]=\frac{106}{369}+\frac{105}{369}[/tex]

[tex]=\frac{211}{369}[/tex]

= 0.571 ≈ 0.57

Thus, the expected score of each at bat if he earns 1 point for each hit that is not a home run and 5 points for each home run is 0.57

Learn more about the probability here:

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Answer:

0.57

Step-by-step explanation:

what’s the slope of those? please help

Answers

Answer:

8 is 5/2, 9 is an undefined slope

Step-by-step explanation:

8 rise 5 and runs 2 and 9 is a vertical line so there is no slope meaning its undefined.

What is the domain of the function h(x) = 4 log2 (x - 6) +1?​

Answers

The domain of the function h(x) = 4·㏒₂(x - 6) + 1, using interval notation is (6, ∞)

What is the domain of a function?

The domain of a function is the set of the possible input values of the function, which is denoted as dom(f).

The domain of the function f: X → Y, is defined as the values of X

The given function is; h(x) = 4·㏒₂(x - 6) + 1

The domain of a function is the set of the possible input (x-values) of the function.

The values which the function ㏒₂(x - 6) can have as input, which is the domain of the function, ㏒₂(x - 6) is; 0 < x - 6 < ∞

Which gives: 6 < x < ∞

The domain of the function, h(x) = 4·㏒₂(x - 6) + 1 is 6 < x < ∞, which using interval notation is (6, ∞)

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Katrina's ski boots cost 8% more than
her skis. Her ski boots cost $162. Which
equation can be used to find the cost, c,
of Katrina's skis?
I need pls!!

Answers

I am not sure about my answer.But I guess it may be correct.Hope the picture will help you..

Find the missing angle x​

Answers

Answer:

144° or 36°- depends on what you are asking.

Step-by-step explanation:

Since there are 190° in a straight line and there is 36° on one side. I then substracted 190-36 to get 144°.

If you are asking for the missing side of the triangle then the answer is 36° since this triangle is an equilateral triangle.

which is a proportional relationship

Answers

Answer:

Proportional relationships are relationships between two variables where their ratios are equivalent.

So if one of your answers have equivalent ratios, that is your answer

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