The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
What is vertical motion model?Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,
[tex]h(t)=-16t^2+v+t[/tex]
Here, t is time and v is velocity.
Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second. Thus, the vertical motion model for this situation is,
[tex]h(t)=-16t^2+20t+7[/tex]
When the ball hit the ground, the value of height (h) become zero. Thus,
[tex]0=-16t^2+20t+7\\16t^2-20t-7=0[/tex]
On solving this quadratic, the value of x we get,
[tex]x=1.535,x=-0.285[/tex]
Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.
Learn more about the vertical motion model here:
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a) Fiona has shirts, pants, socks, and shoes and she has 4 colors of each which are blue, gray, orange, and black that she can wear to her co-op placement. draw a tree diagram
b) what is the probability that she starts with a black shirt.
Answer:
the probability = 1/4
Step-by-step explanation:
Check the diagram tree I provided (it’s incomplete because it’s so long)
the probability that she starts with a black shirt equal to :
[tex]p=\frac{1}{4} \times \frac{4}{4} \times \frac{4}{4} \times \frac{4}{4} = \frac{1}{4}[/tex]
because she has :
One choice to pick a black shirt out of 4 colors
4 choices to pick pants out of 4 colors
4 choices to pick socks out of 4 colors
4 choices to pick shoes out of 4 colors
Solve for h
pls will mark brainess
Answer:
Explanation: This is the answer
Answer:
[tex]h = 9\ cm[/tex]
Step-by-step explanation:
Step 1: Determine what h is
[tex]Area = \frac{h * b}{2}[/tex]
[tex]45\ cm^2 = \frac{h * 10\ cm}{2}[/tex]
[tex]45\ cm^2 *2 =\frac{h * 10\ cm}{2}*2[/tex]
[tex]90\ cm^2 = h * 10\ cm[/tex]
[tex]\frac{90\ cm^2}{10\ cm}= \frac{h*10\ cm}{10\ cm}[/tex]
[tex]9\ cm = h[/tex]
Answer: [tex]h = 9\ cm[/tex]
Given the equation 8x + 4y = 2, a second equation that forms a system with no solution is:
Answer:
4x + 2y = 2
Step-by-step explanation:
8x + 4y = 2 ( divide each term by 2 )
4x + 2y = 1 → (1)
we require a situation where the left side cannot possibly equal the right side.
using 4x + 2y = 2 → (2)
subtract (1) from (2) term by term
(4x - 4x) + (2y - 2y) = 2 - 1 , that is
0 + 0 = 1
0 = 1 ← not possible
thus the system has no solution
Tristan is volunteering at the animal shelter one of his responsibilities is to give each of the 5 dogs their medicine each day if he needs to give each of the dogs at the shelter 4/9 of an ounce of medicine each day how many ounces of medicine does he need per day for all of the dogs
Answer:
2.22
Step-by-step explanation:
4/9 x 5
Can someone help please. 'Preciate it.
Answer:
c = 9
Step-by-step explanation:
Given equation:
[tex]\sf 6(c-1)=48[/tex]
Divide both sides by 6:
[tex]\implies \sf \dfrac{6(c-1)}{6}=\dfrac{48}{6}[/tex]
[tex]\implies \sf c-1=8[/tex]
Add 1 to both sides:
[tex]\implies \sf c-1+1=8+1[/tex]
[tex]\implies \sf c=9[/tex]
Answer:
9
Step-by-step explanation:
There are now 48 total cookies shared by the 6 plates after he takes 1 cookie (6 cookies)
48+6 is 54/6 is 9
The cost of a jacket increased from $55.00 to $62.15. What is the percentage increase of the cost of the jacket?
What is the value of w?
Answer:
x=29.3 degrees
Step-by-step explanation:
Vertical angles are congruent therefore the angle with the dot in it is 60.7 degrees and the combination of the dot and w is 90 degrees. 90-60.7=29.3
Solve for x. Round answer to the nearest tenth. Submit 20 27
Answer: 115.6
Step-by-step explanation:
this is my last question. Can someone answer it?
Answer:
-25 is the simplest form
Solve 2(x + 1) = 2x + 2.
- All real numbers
- No solution
- 0
- 1
What is an equation of the line that passes through the points (-3,8) and (-2,3)?
Answer:
y = -5x + 7
Step-by-step explanation:
You want to find the equation for a line that passes through the two points:
(-3,8) and (-2,3)First of all, remember what the equation of a line is:
y = mx+bWhere:
m is the slope, andb is the y-interceptFirst, let's find what m is, the slope of the line...
The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.
For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-3,8), point #1, so the x and y numbers given will be called x₁ and y₁. Or x₁ = -3 and y₁ = 8.
Also, let's call the second point you gave, (-2,3), point #2, so the x and y numbers here will be called x₂ and y₂. Or, x₂ = -2 and y₂ = 3.
Now, just plug the numbers into the formula for m above, like this:
[tex]m=\frac{3-8}{-2--3}[/tex]
or...
[tex]m=\frac{-5}{1}[/tex]
or...
[tex]m=-5[/tex]
So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:
[tex]y=-5x+b[/tex]
Now, what about b, the y-intercept?
To find b, think about what your (x,y) points mean:
(-3,8). When x of the line is -3, y of the line must be 8.(-2,3). When x of the line is -2, y of the line must be 3.Because you said the line passes through each one of these two points, right?
Now, look at our line's equation so far: y=-5x+b. b is what we want, the -5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-3,8) and (-2,3).
So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!
You can use either (x,y) point you want..the answer will be the same:
(-3,8). y=mx+b or 8=-5 × -3+b, or solving for b: b=8-(-5)(-3). b=-7.(-2,3). y=mx+b or 3=-5 × -2+b, or solving for b: b=3-(-5)(-2). b=-7.See! In both cases we got the same value for b. And this completes our problem.
The equation of the line that passes through the points
(-3,8) and (-2,3)
is
y=-5x-7
How do I solve this?
Answer:
By making use of Pythagoras theorem
Step-by-step explanation:
l²=4²+4²
=16+16=32
I=✓32
8²=x²+(✓32)²
64=x²+32
x²=64-32
x²=32
x=✓32
Please help, quick. Best answer will get brainliest
Answer:24/3=$8 each shirt
y=1x+8
Step-by-step explanation:
3 shirts are equal to $24.
24/3=$8 each shirt
The equation is y=1x+8
In the table, just times 8 for each.
For the graph, I will label it 5 for each square on the x-axis and count by 1 at the y-axis.
What is the range?
2 ,9 ,7 ,9 ,1 ,6
Answer:
8Step-by-step explanation:
The range is the difference between the highest and lowest values in a data set.
Highest value = 9Lowest value = 1Range = 9 - 1 = 8Answer:
8
Step-by-step explanation:
When finding the range, you have to subtract the smallest value from the biggest value,
2, 9, 7, 9, 1, 6
⇒ 1, 2, 6, 7, 9, 9
If we take a look at the set of numbers, we can see that 1 is the smallest value and 9 is the biggest,
Now that know that we need to subtract,
9 - 1
= 8
Therefore the range of this set of numbers is 8.
Condense and simplify log 4 + log 25.
Answer:
2
Step-by-step explanation:
log 4 +log 25
Since these two equations have the same base and are being added, we can multiply the arguments
it would be: log 100
which is 2
Answer:
2
Step-by-step explanation: In logs, the opposite of addition is multiplication. Also, there needs to be only 1 log when you're condensing. So you'll multiply 4*25=100. And just plug in your calculator log(100) which is 2.
Hope this helps.
A policy covering a one-year-old luxury car.
Annual premium?
96
32
60
84
Answer:
84
Step-by-step explana8tion:
A group consists of honest and extremely kind people.If 8 honest people and 12
extremely kind people can finish a piece of work in 10 days while 6 honest people and 8 extremely kind people can finish it in 14 days, then find the time taken by one honest people alone and that by one extremely kind people alone to finish the work.
Step-by-step explanation:
Please check the shots I sent you'll understand it perfectly
Janice earns £1,220 per month. She has to pay rent at £400 per month and utilities at
£100 per month. She spends £200 per month on food. How much money will Janice
have left after paying all of her outgoings? Make sure to show your working out.
F(x)=x^2. What is g(x)?
9.45×10^6 in standard form
Answer:
That is written in standard form, no changes are needed.
9.45×10^6 is the answer
b + (5.68 - 3.007) for b = 6.134
Answer:
b+2.673
Step-by-step explanation:
substitute the value of the variable into the equation and simpilfy
Answer:
8.807
Step-by-step explanation:
1. 6.134 + (5.68 - 3.007)
6.134 + 2.673
= 8.807 or [tex](\frac{8807}{1000}, 8\frac{807}{1000} )[/tex]
If the diameter of a circle is 46 centimeters long, how long is the radius of the circle?
OA. 184 centimeters
OB B. 11.5 centimeters
OC. 92 centimeters
OD. 23 centimeters
Answer:
r = 23
Step-by-step explanation:
Using the formula
d = 2rSolving for r
r = d / 2 = 46 / 2 = 23Show that 7x + 1 is equivalence to 2(2x - 1) + 3(x + 1)
Answer with Step-by-step explanation:
2 ( 2x -1 ) + 3 ( x + 1 )
First, let us find the value of the above expression.
2 ( 2x -1 ) + 3 ( x + 1 )
4x - 2 + 3x + 3
Combine like terms
4x + 3x - 2 + 3
7x + 1
Therefore, it is clear that the given expression is equal to 7x + 1.
∴ 7x + 1 = 2 ( 2x -1 ) + 3 ( x + 1 )
circle theorem - find p
Answer:
C
Step-by-step explanation:
the angle in a semicircle = 90° , that is the 3rd angle in the triangle.
the sum of the 3 angles in a triangle = 180° , then
p + 90° + 42° = 180°
p + 132° = 180° ( subtract 142° from both sides )
p = 48°
plsssssssssssss
hewlp me i begg uuuu
Answer:
512
Step-by-step explanation:
Write an equation and solve:
An iced cake costs 10p more than a plain cake. Sarah bought two of each cake. They cost £1 altogether. What is the cost of an iced cake?
Answer:
55p
Step-by-step explanation:
iced cake = 10p more than a plain cake
iced cake = 10p + plain cake
iced cake and a plain cake together = £1
iced cake + plain cake = £1
if iced cake = 10p + plain cake, we can plug this into our second formula to get
(10p + plain cake) + plain cake = £1
10p + 2 * plain cake = £1 = 100p
subtract 10p from both sides to isolate the variable and its coefficient
2 * plain cake = 90p
divide both sides by 2 to isolate the variable
plain cake = 45p
iced cake = 10p + plain cake = 55p
Jacks' Pizza pays $2000 rent per month and each pizza costs $2 in ingredients and hourly paid labor. Pizzas sell for $5 per pizza - what is the break even number of pizzas for Jack's pizza
Answer:
667 pizzas
Step-by-step explanation:
5-2=3 Unit CM
2000/3=666.6
Can't have .6 of a pizza, so round up
667
How do you solve this promblem?
Answer:
D is the correct answer.
Step-by-step explanation:
[tex]3 {x}^{2} + 7x - {(x + 4})^{2} - 9 [/tex]
[tex]3 {x}^{2} + 7x - ( {x}^{2} + 8x + 16) - 9[/tex]
[tex]3 {x}^{2} + 7x - {x}^{2} - 8x - 16 - 9[/tex]
[tex]2 {x}^{2} - x - 25[/tex]
What measure of central tendency is most affected by outliers?.
Answer: Mean
Mean is the only measure of central tendency that is always affected by an outlier.
hope this helps!
have a nice day!
please help me round to nearest hundredth
Answer:
(a) 2.27 lb/$
(b) 0.10 mi/min
Step-by-step explanation:
(a)Pounds per dollar is found by dividing pounds by dollars:
(25 lb)/($11.00) ≈ 2.272727... lb/dollar
The digit in the thousandths place is less than 5, so that digit and all digits to its right are dropped when rounding to hundredths.
2.27 pounds per dollar
__
(b)Speed in miles per minute is found by dividing miles by minutes:
(6 mi)/(58 min) ≈ 0.103448... mi/min
Rounding to hundredths is done the same way as above.
0.10 miles per minute
_____
If the digit to the right of the place you're rounding to is 5 or more, then 1 is added in the place you're rounding to when digits to its right are dropped.