A rugby player kicks a rugby ball 2 feet above the ground with an initial vertical velocity of 50 feet per second. The function h=−16t^2+50t+2 represents the height h (in feet) of the rugby ball after t seconds. Use a graphing calculator to estimate when the height of the rugby ball is 35 feet.
Answers
The graph clearly shows that the ball has a height of 35 feet at t = 0.947 s and 2.178 s.
A rugby player kicks a rugby ball 2 feet above the ground at a 50-foot-per-second starting vertical velocity. After t seconds, the height h of the rugby ball is given by:
h = -16t² + 50t +2 ......(1)
Here,
h is the height in feet, and t is the time in seconds
We must determine the time when the ball's height reaches 35 feet. (1) will be transformed into
h = -16t² + 50t +2 - 35
h = -16t² + 50t - 33.
Using the Desmos calculator, we can plot the graph of the preceding equation. The linked graph depicts the period when the rugby ball's height is 35 feet.
The graph clearly shows that the ball has a height of 35 feet at t = 0.947 s and 2.178 s.
For such more question on height
https://brainly.com/question/73194
#SPJ6
Related Questions
An isosceles right triangle is always 45 45 90 triangle.
True
False
Answers
Answer:
Yes, an isosceles triangle is always 45 45 90 so its TRUE!!
Answer:
[tex]\huge \boxed{\mathrm{True}}[/tex]
Step-by-step explanation:
An isosceles right triangle is always 45 45 90 triangle.
An isosceles right triangle has a right angle or 90 degrees angle.
An isosceles right triangle has two angles equal in size.
If one angle is a right angle, then the other two will be 45 45.
Would i solve this doing 14+5 or 14-5 to get the missing length?
Answers
Answer:
The answer to your question is 10 ft
Step-by-step explanation:
We can observe that all the sides have a length but the first to the left.
Also, we know the corners meet at right triangles, so to calculate the length of the missing side, we must add to sides.
But these sides must be the ones that are in front of it (6 ft and 4 ft)
Then ? = 6 + 4
10 ft
Who are y’all a favorite music artist?
Let me know what the word is.
Put me on!
Answers
Answer:
Well I have two that i really enjoy which is Lund and Melanie Martinez
Step-by-step explanation:
Both of their music is amazing I enjoy listening to it all the time there is more i love but i would recommend this two
Answer: Drake, Ariana Grande, Justin Bieber, Shawn Mendes Etc
Step-by-step explanation:
Can the sides of a triangle have lengths 9.2, 7.8, and 2.1?
Answers
Step-by-step explanation:
9.2 + 7.8 = 17 > 2.1
7.8+2.1= 9.9> 9.2
9.2+2.1= 11.3 > 7.8
Since, sum of any two sides is greater than the third side, a triangle can have these lengths
Use the spinner to identify the probability to the nearest hundredth of the pointer
landing on a non-shaded area.
Answers
Randy went to the store and brought a shirt that cost $42.00 before taxes and discount. The shirt was on sale for a discount of 20% before tax. The sales taxes was 3%. What did randy pay for the shirt after discount and tax
Answers
Answer:
Step-by-step explanation:
The 20% discount amounted to ...
0.20 × $42.00 = $8.40
so the price before tax was ...
$42.00 -8.40 = $33.60
The tax amount is 3% of this value, so is ...
0.03 × $33.60 = $1.008 ≈ $1.01
So the total price paid for the shirt was ...
$33.60 +1.01 = $34.61
Randy paid $34.61 for the shirt after discount and tax.
___
Alternate solution
You can realize that the 20% discount means that Randy will pay 80% of the original price of the shirt. Similarly, the 3% added tax means Randy will finally pay 103% of the discounted price. Then the total price Randy pays is ...
$42.00×0.80×1.03 = $34.608 ≈ $34.61
Michael Rice’s bike at a constant speed of 12 mph how far can he travel in two hours
Answers
Answer:
The answer to your question is distance = 24 mi
Step-by-step explanation:
Data
speed = 12 mph
time = 2 hours
distance = ?
Process
To solve this problem, use the speed formula. Speed is a variable that measures the distance travel by a body over time.
speed = distance / time
-Solve for distance
distance = speed x time
-Substitution
distance = 12 x 2
-Result
distance = 24 mi
Answer:
24miles
Step-by-step explanation:
12/1 = x/2
where the numerator is the miles and the denominator the hours
cross multiply
12×2 and dived by 1 to yet your answer.
Evaluate the expression.
4
5
+
3
5
–
2
5
÷
1
3
Write your answer as a fraction or as a whole or mixed number.
Answers
The required solution to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.
To solve the expression 45 + 35 - 25 ÷ 13, we need to follow the order of operations (PEMDAS/BODMAS).
First, we perform the division operation:
25 ÷ 13 = 1.923 (rounded to three decimal places).
Then, we perform the addition and subtraction operations from left to right:
45 + 35 = 8080 - 1.923
= 78.077 (rounded to three decimal places).
Therefore, the answer to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.
Learn more about PEMDAS here:
https://brainly.com/question/20876480
#SPJ4
Which expression matches: 7 less than the product of 4 and 5
7- (4 + 5)
7- 4(5)
4(5) -7
(4 + 5) -7
Answers
Answer:
4(5) -7
Step-by-step explanation:
4(5) -7
The product of 4 and 5 means that 4 and 5 are multiplied together.
"7 less than," means subtracting 7.
That means you get 4(5) - 7
Which excerpt from the poem "Girl Powdering Her Neck" by Cathy Song is an example of a simile?
"her legs folded beneath her / as she sits on a buckwheat pillow"
"Morning begins the ritual / wheel of the body"
"The peach-dyed kimono / patterned with maple leaves"
"She dips a corner of her sleeve / like a brush into water"
Answers
Answer: D “she dips a corner of her sleeve / like a brush into water”
Step-by-step explanation:
The simile from Cathy Song's poem "Girl Powdering Her Neck" is identified in the line that compares the subject's form to 'polished ivory' and her cheek to 'the spring', using the words 'like' and 'as'.
The student asks which excerpt from Cathy Song's poem "Girl Powdering Her Neck" is an example of a simile. A simile is a figure of speech that compares two different things using the words 'like' or 'as'. In the provided excerpts, the simile is found in the line:
From head to foot her lovely form is fair
As polished ivory. Like the spring, her cheek
Presents a radiant bloom...
This line compares the subject's fair form to polished ivory and her cheek to the spring, suggesting freshness and radiance. The use of 'like' and 'as' confirms these comparisons as similes.
A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?
Answers
Answer:
1740 cubic feet
Step-by-step explanation:
Given:
A tank is in the shape of a rectangular prism.
Area of base = 116 square feet
Height of the tank = 30 feet
Question asked:
How many cubic feet of water would the tank contain when it is filled halfway?
Solution:
Area of rectangular base = 116 square feet
[tex]Length\times breadth=116[/tex]
As we know:
[tex]Volume\ of\ rectangular\ prism=length\times breadth\times height[/tex]
[tex]=116\times30=3480\ cubic\ feet[/tex]
That means capacity of tank is 3480 cubic feet.
When it is filled halfway, it will contain =
[tex]\frac{1}{2} \ of\ volume=\frac{1}{2}\times3480=1740\ cubic feet[/tex]
Thus, tank will contain 1740 cubic feet of water when it is filled halfway.
Mary is buying tickets for a movie.
• Each adult ticket costs $9.
Each child ticket costs $5.
Mary spends $110 on tickets.
- Mary buys 14 total tickets.
Answers
Answer:
adult 10
child 4
Step-by-step explanation:
for example,we buy x tickets for adults,y tickets for children.
so we can know x+y=14,9x+5y=110
5(x+y)=70
110-70=40
40/(9-5)=10,this is for adults
the rest are for child
Answer:9×10=90+15=105+5=110
Step-by-step explanation:
Which expression is equivalent to 1/2- (-8)?
Answers
Answer:
1/2 + 8 is equivalent to 1/2 - (-8)
0.5 - (-8) is ALSO equivalent to 1/2 - (-8)
0.5 + 8 is another equation that is equivalent to 1/2 - (-8)
Step-by-step explanation:
Step-by-step explanation:
0.5-(-8) is equal to it
Find the slope and the y-intercept of the line.
2x - 3y = -6
Select one:
A. slope: - ; y-intercept: -2
B. slope: - ; y-intercept: 2
C. slope: ; y-intercept: 2
D. slope: ; y-intercept: -2
Clear my choice
Answers
Answer:
choose choice c: slope is (2/3) and y-intercept is 2
Step-by-step explanation:
2x - 3y = -6
Convert this equation to Slope-Intercept form.
2x - 3y - 2x = -6 - 2x
-3y = -6 - 2x
Divide both sides by -3
y = (-6 - 2x)/ (-3)
y = 2 + 2x/3
slope is (2/3) and y-intercept is 2
Cory sold 6 baseball cards to a collector for a total of $90. He sold each card for the same price. What is the unit rate of Cory’s baseball cards?
Answers
Answer:
The answer would be 15
Step-by-step explanation:
90÷6=15
change the equation 8x-7y+8=0 into an equivalent equation written in the slope-intercept form
Answers
Answer:
Slope = 2.286/2.000 = 1.143
Step-by-step explanation:
To convert 8x - 7y + 8 = 0 to slope-intercept form, first, isolate y by moving terms, then divide by the coefficient of y to find the slope and intercept values as per the equation y = mx + b.
To change the equation 8x - 7y + 8 = 0 to slope-intercept form (y = mx + b), you need to solve for y. Here's the step-by-step process:
Move the term 8x to the right side by subtracting 8x from both sides, giving -7y = -8x - 8.
Divide by -7 to isolate y, resulting in y = (8/7)x + 8/7.
Therefore, the equivalent equation in slope-intercept form is y = (8/7)x + 8/7.
A train leaves at 17.22 and arrives at its destination at 18.14.
If the train travelled 56 km, what was it's the average speed in km/h?
Give your answer rounded to 1 dp.
Answers
The train's average speed was calculated by using the formula for average speed (Total distance \/ Total time), resulting in approximately 64.4 km/h, after converting the total journey time from minutes to hours.
To calculate the average speed of the train, we can use the formula:
Average speed = Total distance \/ Total time
First, we find the total time taken by the train for its journey:
Departure time: 17:22
Arrival time: 18:14
Total time = Arrival time - Departure time
Total time = 18:14 - 17:22
Total time = 52 minutes
To convert minutes to hours (since speed is in km/h), we divide by 60:
Total time in hours = 52 / 60 ≈ 0.87 hours
Now, we can plug in the given distance and calculated time into the formula:
Average speed = 56 km / 0.87 hours ≈ 64.4 km/h
Hence, the train's average speed was approximately 64.4 km/h, rounded to 1 decimal place.
Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652. The meal price per guest is 28. How many guests, x, can margaret invite to the reception and stay under budget?
Answers
Final answer:
To determine how many guests Margaret can invite to stay under budget, follow the steps to calculate the maximum number of guests based on the remaining budget and meal price per guest.
Explanation:
To determine how many guests Margaret can invite to stay under budget, follow these steps:
Calculate how much budget Margaret has left: $5,676 - $2,652 = $3,024.Divide the remaining budget by the meal price per guest to find out the maximum number of guests she can invite: $3,024 ÷ $28 = 108. Therefore, Margaret can invite a maximum of 108 guests and stay under budget.12 + x = 0.80(x + 20)
Solve the linear equation
Answers
Answer:
20
Step-by-step explanation:
12+x=0.8(x+20)
Divide both sides by 0.8:
15+1.25x=x+20
Subtract x from both sides:
0.25x+15=20
Subtract 15 from both sides:
0.25x=5
Multiply both sides by 4:
x=20. Hope this helps!
Answer:
x = 20
Step-by-step explanation:
12 + x = 0.80(x + 20)
Distribute the 0.80 on the right side.
12 + x = 0.8x + 16
Subtract 0.8x from both sides.
12 + 0.2x = 16
Subtract 12 from both sides.
0.2x = 4
Divide both sides by 0.2.
x = 20
Which function represents the following graph?
On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).
y = StartRoot x minus 3 EndRoot + 3
y = StartRoot x + 3 EndRoot + 3
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Answers
Answer:
its d on edg
Step-by-step explanation:
just did the test
Answer
y = RootIndex 3 StartRoot x + 3 EndRoot + 3
Step-by-step explanation:
Took quiz
Point B has coordinate B(1, -1).
What is the coordinate of B' under a scale factor of 3?
A:(1,-1)
B:(3, -3)
C:(-2, 2)
D:(-6, 6)
Answers
Answer:
B
..............................................
Answer: I believe it would be B(3,-3), Please correct me if I'm wrong, but thats the way I was taught when dealing with scale factors.
Step-by-step explanation:
What is the slope of (2,3) and (4,6)
Answers
Answer:
The slope is 3/2
Step-by-step explanation:
6-3=3 4-2=2 3/2
For which of the following value(s) of p is the following function NOT defined:
Answers
For p=5 function not defined
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia
Answer:
A. (5).
Step-by-step explanation:
It' not defined if the denominator 3p - 15 is equal to zero.
This happens when p = 5 ( 3(5) - 15 = 0).
a fish tank holds 513 gallons but leaks at a rate of 4 gallons per day and 684 gallons but leak at a rate of 7 gallons per day . after how many days will the amount of water in the two tanks be the same
Answers
The circumference of a circle is 38.936 meters. What is the circle's diameter?
Answers
r = d/2 , so C = πd
Move the pi to the other side so d = C/π
38.936/π = 12.394 meters
Let f= {(-5,1).( - 4,0).(0,6)}
Find f(0)
f(0)=
Answers
Given:
It is given that the coordinates of the function are [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex]
We need to determine the value of f(0)
Value of f(0):
The value of f(0) is the value of the function when the input is 0.
We need to determine the value of f(0) when the input is x = 0
Thus, from the coordinates of the function [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex], it is obvious that the input value of the function is x = 0 , then the value of the function f(0) = 6.
Thus, when the input value x = 0, the output is f(0) = 6.
Therefore, the value of f(0) = 6.
A circle has a radius of 5 and the arc measure is 60. what is the Arc lenght
Answers
Answer:
5.23 units
Step-by-step explanation:
Let the length of arc be l
[tex]central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 5 \: units \\ \\ \because \: l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: l = \frac{60 \degree}{360 \degree} \times 2 \times 3.14 \times 5 \\ \\ \therefore \: l = \frac{1 }{6} \times 31.4 \\ \\ \therefore \: l = 5.23 \: units[/tex]
Can you help me with this: 4x + y = 6
Answers
Answer:
y = -4x + 6
Step-by-step explanation:
For a slope-intercept equation, you need to isolate the y. For this equation, just subtract 4x from both sides to get y on it's own.
What is the only solution of 2x2 + 8x = x2 - 16?
Answers
Answer:
it is 2
Step-by-step explanation:
richard loves to golf he has 54 golf balls he bought 18 more and received 2 packs of 12 golf balls for his birthday when he went to play he lost 12 golf balls and gave 14 to his brother how many golf balls does richard have left
Answers
Answer:
70 golf balls
Step-by-step explanation:
54+18+24-12-14=70