Answer:
The vertical velocity of the ball when released = 10.81 m/s
The vertical velocity of the ball in the basket = 8.81 m/s
Step-by-step explanation:
The given parameters are;
The height of the basket = 10 feet
The horizontal location of the shooter from the basket = 20 feet
The height from which the shooter releases the ball = 8 feet
The horizontal velocity of the ball = 10 ft/s
Therefore, we have;
Time, t = Horizontal distance/(Horizontal velocity)
t = 20/10 = 2 seconds
The vertical velocity is given as follows;
s = u·t - 1/2·g·t²
Where;
u = The vertical velocity
s = The height above the initial height from which the ball is released
s = y - y₀
Where;
y = The final height of the ball in the calculation = The height of the basket = 10 foot
y₀ = The initial height from which the ball is released = 8 feet
∴ s = 10 - 8 = 2 feet
g = The acceleration due to gravity = 9.81 m/s²
Substituting gives;
2 = u × 2 - 1/2 × 9.81× 2²
u = (2 + 1/2 × 9.81× 2²)/2 = 10.81 m/s
The vertical velocity of the ball when released = 10.81 m/s.
The vertical velocity of the ball in the basket is given by the following relation;
v² = u² - 2·g·s
v² = 10.81² - 2×9.81×2 = 77.6161
v = √(77.6161) = 8.81 m/s
The vertical velocity of the ball in the basket = 8.81 m/s
I have no idea what my teacher means or how to do this
15. A bag contains 8 blue chips, 7 green chips, and 2 white chips. If three chips are drawn
without replacement, what is the probability of drawing two blue chips and then a green
chip?
How do you solve this equation -6x + 7y =13 and -6x +8y =20 using elimination
Answer:
x=6,y= 7
Step-by-step explanation:
-6x +7y= 13
-6x+8y=20
-y = -7
divide through by -1
y =7
sub y= 7 in equation 1
then x= 6
Hyo-Jin makes bracelets and sells them on an online craft website. Last month, she sold 6 bracelets. After paying the website a commission of $1.25 for each bracelet sold, Hyo-Jin made a total of $16.50. How much does each bracelet sell for on the website? Explain the steps you followed to get your answer.
Answer:Sample response: I set up an equation to show that the number of bracelets multiplied by the cost of each bracelet minus the commission is equal to the total, 6(x – 1.25) = 16.50. I divided each side by 6, then added 1.25 to each side with a result of x = 4. Hyo-Jim sold each bracelet for $4.
just at least take out a few things and paraphrase it hope this is usefull
Answer:
Sample response: I set up an equation to show that the number of bracelets multiplied by the cost of each bracelet minus the commission is equal to the total, 6(x – 1.25) = 16.50. I divided each side by 6, then added 1.25 to each side with a result of x = 4. Hyo-Jim sold each bracelet for $4.
Step-by-step explanation:
I got if off the question.
Help plz:))) I’ll mark u brainliest
ASAP!!!
Someone in your class tells you that all equilateral triangles are isosceles triangles. Are they correct? Use definitions or theorems to support your answer .
Answer:
No
Step-by-step explanation:
Equilateral means all three side is equal the they have the same angle or side
In isosceles triangle only 2 side is equal the third one is different so two angles are same and one different
Solve for x.........
Answer:
9x-25 = 5x+7 (reason: opposite sides of a parallelogram are equal)
4x-25 = 7
4x = 7+25
4x = 32
x = 8
The value of x in parallelogram LMNP is 8.
Given is parallelogram LMNP, with LM = 9x - 25 and PN = 5x + 7, we need to find the value of the x,
We know that, in a parallelogram, opposite sides are equal in length.
Therefore, we can set the lengths of the opposite sides of parallelogram LMNP equal to each other:
LM = PN
Substituting the given expressions for LM and PN:
9x - 25 = 5x + 7
To find the value of x, we can solve this equation:
Start by isolating the x terms on one side and the constant terms on the other side.
Let's subtract 5x from both sides to eliminate 5x from the right side:
9x - 25 - 5x = 5x + 7 - 5x
Simplifying the equation:
4x - 25 = 7
Next, move the constant term (-25) to the other side by adding 25 to both sides:
4x - 25 + 25 = 7 + 25
Simplifying the equation:
4x = 32
To solve for x, divide both sides of the equation by 4:
(4x)/4 = 32/4
Simplifying the equation:
x = 8
Therefore, the value of x in parallelogram LMNP is 8.
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A small box holds 80 books. A large box holds 195% as many books, How many books does the large box hold?
Answer: 156
Step-by-step explanation:
80 x 195% = 156
OR
80 x 1.95 = 156
David paints 3 rooms in 7.5 hours at the same pace how long would it take him to paint 15 rooms
Answer:
22.5 hours long please make brain thx
Step-by-step explanation:
subtracting decimals
-9 - 5 =
Answer: -14
Step-by-step explanation: Hope this helps!!
A chinese restaurant offers buffet takeout for 4.99 per pound. How much does your meal cost if your food weighs .65 punds
Answer:
$3.24
Step-by-step explanation:
Answer:
$3.2435 or about $3.24
Step-by-step explanation:
65% of 4.99 = 3.2435
what is the slope of line?
A. -7
B. 0
C. 1
D. undefined
Answer:
undefined
Step-by-step explanation:
The slope would be undefined since you don't have a y-intercept. The line only intercept at -7 on the x axis.
what is the product of 0.2*7
Answer:
1.4
Step-by-step explanation:
Identify the function shown in this graph.
.
A. y=x+4
B. y = -x+ 4
C. y = -x-4
D. y= x - 4
Find the slope or the line that passes through (4,5) and (8,10)
Estimate and then solve 6,273 ÷ 41 =
Answer:
153
Step-by-step explanation:
Answer:
6,273 ÷ 41 =153
Step-by-step explanation:
Mr. Robins earns a commission on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr. Robins’ commission rate?
Answer:
the answer in 15% because if you do $208.60 multiplied by 15% you get $31.29.
Step-by-step explanation:
Adam’s car traveled 465.3 miles on 16.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveled on each gallon of gas?
A 16.5x = 465.3
B StartFraction x over 16.5 EndFraction = 465.3
C 465.3 x = 16.5
D StartFraction x over 265.3 EndFraction = 16.5
Answer:
A
Step-by-step explanation:
If you want to figure out all you have to do is divide 465 by 16.5.
The only equation that shows that is the first one. In equations you need to get the X by itself so you'll have to divide to do that.
It's same if you say something like "You have 4 apples but need to divide them in 2 groups."
The equation can be written as 16.5 * x = 465.3, the correct option is A.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.
The car travels 465.3 miles on 16.5 gallons of gas
Let the average number of miles that a car traveled in each gallon of gas is x
Then the equation can be written as
16.5 * x = 465.3
Therefore, the correct option is A.
To know more about Equation
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Evaluate: 10 +(2x4) ÷2
Answer:
14 :)
Step-by-step explanation:
Answer: 6
Step-by-step explanation: 2x4=8 =10 divided by 2
a. The ____________________ of a graph is the location where the graph crosses the −axis.
Answer:
x- intercept
Step-by-step explanation:
Where a graph crosses the x- axis is called the x- intercept.
Where a graph crosses the y- axis is called the y- intercept
PLEASE ANSWER THIS I NEED HELP RNNN!!
SHOW WORK PLEASE AND EXPLANATIONS SO I CAN UNDERSTAND!!! :)
Answer:
Every five minutes, the shuttle loses 1.6km in altitude. This can be written in the equation y = [tex]\frac{1.4}{-5}[/tex]x + 100.It would have been 100.56 km above the earth. You can do this by plugging in -2 into the equation above. You have to use -2 because it is 2 minutes before tracking started.It will take around 357 minutes for it to reach the ground. Set the equation equal to 0 and solve for x which represents the time taken.Step-by-step explanation:
1. change in y over change in x.
[tex]\frac{100-98.6}{0-5}[/tex] = [tex]\frac{1.4}{-5}[/tex]
This becomes your slope.
the y-intercept is 100 because at x = 0, y= 100.
So plug these values into y = mx + b and you get y = [tex]\frac{1.4}{-5}[/tex]x + 100.
2. If the line starts at x = 0, then if you want to get a value for 2 minutes prior you have to use -2 because 0 - 2 = -2.
y = [tex]\frac{1.4}{-5}[/tex](-2) + 100
Set it equal to zero and solve algebraically. The answer should be 100.56.
3. If we want to see how many minutes it takes to get to an altitude of 0, we have to make y = 0 and solve for x. This is because we know that y will be 0 but we don't know how long it takes.
0 = [tex]\frac{1.4}{-5}[/tex]x + 100
Solve algebraically and you should get an answer around 357.
A corn vendor at a farmer's market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32. A third vendor was selling a bag of 10 for $3.10. Which bag is the best deal?
Answer:
The bag of 8 ears of corn
Step-by-step explanation:
2.56/8 = .32 per ear of corn
4.32/12 = .36 per ear of corn
ou are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing the zip line is y=-8/3+8
. There is a tree in your yard at the point (3,16) . Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.
9514 1404 393
Answer:
5.6 feet
Step-by-step explanation:
Assuming your zip line equation is supposed to be ...
y = -8/3x +8
we can rewrite it to general form:
8/3x +y -8 = 0
8x +3y -24 = 0 . . . . multiply by 3
Now, we can use the formula for the distance from a point to a line:
d = |ax +by +c|/√(a²+b²) . . . . . distance from (x, y) to ax+by+c=0
Filling in the values we know, we have ...
d = |8(3) +3(16) -24|/√(8² +3²) = 48/√73 ≈ 5.6
The distance from the tree to the zip line is about 5.6 feet.
Find the slope for -8y=2x+5
Answer:
-1/4
Step-by-step explanation:
in y=mx+b, m represents the slope. Let's try to get your equation to look like that. We can see that on the left side, the y is not yet alone so we must try to accomplish that. to do that we divide by -8 from the -8y, but we must also do that to the other side. you would get y=-2/8x-5/8. then we would simplify the -2/8x into -1/4x. Now it is y=-1/4x-5/8 and that resembles y=mx+b. m is slope and -1/4 is m.
Find The missing Interior Angle X
Answer:
113
Step-by-step explanation:
given h (x) =4x-4, solve for x when h (x) =-8
Answer:
[tex]4x - 4 \\ = 4( - 8) - 4 \\ = - 32 - 4 \\ = - 36[/tex]
53,657 rounded to the nearest ten thousand
Answer:
50,000
Step-by-step explanation:
Answer:
50,000
Step-by-step explanation:
When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:
Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.
Does anyone happen to know this answer, if so please help me out
Answer:
88
Step-by-step explanation:
you just multiply base by height
De’Shawn pays $8.16 for 12 pounds of sugar. What is the price per pound of sugar?
Answer:
$0.68 per pound
Step-by-step explanation:
8.16/12
Answer:
$1.47 per pound
Step-by-step explanation:
rewrite x^{2}+16x+63 = 0
Answer:
Step-by-step explanation:
x^2+16x+63=0 is standard form to solve
If you factor it the answer is
(x+7)(x+9) or x = -7, -9
A scale drawing of Coriane's bedroom floor is shown
below. All given dimensions are in feet, and all
intersecting line segments shown are perpendicular.
Corinne wants to completely cover the floor with
square hardwood tiles. Each tile has a side length of
I foot, and no tiles will be cut. How many tiles will
Corinne need to cover the floor?
6
9
A. 63
B. 69
C. 74
D. 79
E. 84
5
Answer:
answer is yes it does have some fun and easy way out