Answer:
h = - 16t² + 49.67t + 6
Step-by-step explanation:
The expression for the height of the basketball, h at time, t is given by
h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².
We need to find u₀ from u = u₀ -
So, h - h₀ = u₀t - 1/2gt²
h - h₀ + 1/2gt² = u₀t
u₀ = (h - h₀)/t + 1/2gt
substituting the values of the variables into the equation, we have
u₀ = (h - h₀)/t + 1/2gt
u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s
u₀ = 5 ft/3s + 1/2 × 96 ft/s
u₀ = 1.67 ft/s + 48 ft/s
u₀ = 49.67 ft/s
Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t
h = u₀t - 1/2gt² + h₀
substituting the values of the variables into the equation, we have
h = u₀t - 1/2gt² + h₀
h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft
h = 49.67t - 16t² + 6
h = - 16t² + 49.67t + 6
Please help I will give brainliest
Answer:
ez
Step-by-step explanation:
ez
Find the surface area of the rectangular prism.
9mm on the left side 3mm tall and 13mm wide
Surface area of rectangular prism= 2(wl+hl+hw)
So,
➠ 2(13×9 + 3×9 + 3×13)
➠2 × 183
Ans ➠ 366mm²
Answer:
[tex]Area = 3.66 * 10^{-2}[/tex]
Step-by-step explanation:
Formula to find area of rectangular prism:
[tex]A = 2(wl+hl+hw)[/tex]
Add the values in the formula & solve:
[tex]A=3.66 * 10^{-2}[/tex]
I hope this helps :)
If you can travel 120 miles in 3 hours (180 minutes), what is the distance you could travel in 75 minutes
a. 50 miles
C. 70 miles
b. 60 miles
d. 80 miles
Answer:
[tex]Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph[/tex]
T = 75minutes = (75/60) hours
[tex]Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles[/tex]
option A
Answer:
B. 60 miles
Step-by-step explanation:
Chris found the equation of a trend line. The equation
is shown below. y= 3x + 10. If x is 5, what is the
predicted value of y?
Answer:
y = 25
Step-by-step explanation:
Substitute x = 5 into the equation for value of y
y = 3(5) + 10 = 15 + 10 = 25
Help! How many pairs are circled?
Answer:
41
Step-by-step explanation:
Solve by using substitution
y=2x
3x-y=3
answer:
x = 3
y = 6
step-by-step explanation:
we have two equations —y = 2x
3x - y = 3
we have to use substitution so we will replace y with 2x since y = 2x3x - 2x = 3
now that we have like terms, we can solve this to find x3x - 2x = 3
x = 3
now, we will use this to find yy = 2x
y = 2(3)
y = 6
Write the correct order of letter to the finish line! Urgent help btw it’s not L
Answer: hello your question is incomplete attached below is the complete question
answer : AEIJKGFCH
Step-by-step explanation:
The first Image is the first part of the question, to write the correct order of letter to the finish line, we will use the details on the first image.
Hence the Correct order of letter to the Finish line: AEIJKGFCH
SOMEONE PLEASE HELP ME! I promise i will mark brainlest, but i need the right answer for this. help is much appreciated <3 which graph is an example of a function??
Answer:
The middle one because there is only 1 value of y for every value of x.
Lola rolls two fair number cubes. What is the probability that the two numbers Lola rolls include at least one 4 and have a product of at least 16?
I WILL WORSHIP U PLS WHATS THE ANSWER
Answer:
A. is not true
Step-by-step explanation:
[tex]\angle{BCA}[/tex] appears to be acute, and [tex]\angle{BCD}[/tex] appears to be its obtuse supplement.
Just to be sure the diagram isn't lying to you, set this up:
4x + 9 + (9x - 11) = 180
13x - 2 = 180
13x = 182
x = 14
[tex]m\angle{BCA}=65^\circ\\m\angle{BCD}=115^\circ[/tex]
Those two angles are not congruent.
X°, y° and z °are three angles lying on a straight line having vertices at same point. If y° =45° and z °=86°. Find the value of x.
Answer:
49degrees
Step-by-step explanation:
The sum of angle on a straight line is 180degrees, hence;
x + y + z = 180
x + 45 + 86 = 180
x + 131 = 180
x = 180 - 131
x = 49degrees
Hence the value of x is 49degrees
What is the surface area of the solid that this net can form?
you just find the surface area for each rectangle/square and then add them together
5x8=40
5x8=40
25x5=125
8x25=200
5x25=125
8x25=200
add those numbers and you get 730 :)
A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week
Answer:
$250
Step-by-step explanation:
To find the total multiply 6.25 and 40 together
6.25x40
$250 (Don't forget the dollar sign)
Answer:
250
Step-by-step explanation:
If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250
find the total cost if a pair of shoes cost $49.95 and the tax is 5.5%
Answer:
52.70
Step-by-step explanation:
49.95x.055=2.75 tax
49.95+2.75=52.70 total costs
can someone help a brotha out
Answer:
x = 5
y = 6
Step-by-step explanation:
Let's Solve for x-value first:
By the midsegment theorem we can say;
18 = 2x + 8
18 - 8 = 2x
10 = 2x
10/2 = x
5 = x
Now that we have x-value, let's figure out y-value similarly;
22 = 4y - 2
22 + 2 = 4y
24/4 = y
6 = y
There is the answer!
x = 5, and
y = 6
Hope this helps!
Jay, Sheila and Harry share £7200 in the ratio 1 : 2 : 5. How much does Harry receive?
Answer:
Harry receives £4500
Step-by-step explanation:
Sum of the ratio = 8
Total amount - 7200
[tex]Jay's\ share = \frac{1}{8} \times 7200 = 900\\\\Sheila's \ share = \frac{2}{8} \times 7200 = 2 \times 900 = 1800\\\\Harry 's \ share = \frac{5}{8} \times 7200 = 5 \times 900 = 4500[/tex]
.please solve
b) 3 2/3 - 2 5/6
show steps
Answer:
Step-by-step explanation:
3*3+2/3-2*6+5/6
=9+2/3-12+5/6
=11/3-17/6
take lcm of the denominator
=11*2-17*1/6
=22-17/6
=5/6
Answer:
5/6
Step-by-step explanation:
3 2/3 - 2 5/6
= 3 4/6- 2 5/6
=5/6
x=y-8 7x+2y=16 what is the answer???
Answer:
x = 0 , y = 8
Step-by-step explanation:
x = y - 8 -----(1)
7x + 2y = 16 --------(2)
Substitute (1) in (2)
7(y - 8) + 2y = 16
7y - 56 + 2y = 16
9y = 72
y = 8
Substitute y in (1)
x = 8 - 8 = 0
60 POINTS TO QUICKEST AND CORRECT ANSWER!
Let f(x)=2x and g(x)=2x. Graph the functions on the same coordinate plane. What are the solutions to the equation f(x)=g(x) ? Enter your answers in the boxes. x = or x =
Answer:
x=2
Step-by-step explanation:
Since the are the same equation they are already equal
Answer:
x=2
Step-by-step explanation:
Pls help i don’t know how to answer
Answer:
I'm pretty sure your answer is 3, -4
Step-by-step explanation:
A particle travels along the x-axis such that its position at time t is given by the function x(t) = 2€ + t. What is the average
speed of this particle over the interval 2 sts 10?
4
25
32
200
Answer:
See Explanation
Step-by-step explanation:
Given
The function is not clear, so I will use:
[tex]x(t) = 2+ 3t + t^2[/tex]
Required
Speed over 2 to 10s
This is calculated as:
[tex]Speed = \frac{x(a) - x(b)}{a - b}[/tex]
Where
[tex](a,b) =(2,10)[/tex]
So, we have:
[tex]Speed = \frac{x(2) - x(10)}{2 - 10}[/tex]
[tex]Speed = \frac{x(2) - x(10)}{-8}[/tex]
Calculate x(2) and x(10)
[tex]x(2) = 2+ 3*2 + 2^2 =12[/tex]
[tex]x(10) = 2+ 3*10 + 10^2 =132[/tex]
So, we have:
[tex]Speed = \frac{12 - 132}{-8}[/tex]
[tex]Speed = \frac{-120}{-8}[/tex]
[tex]Speed = 15[/tex]
In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?
Answer:
It would be 125 fish.
Step-by-step explanation:
This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.
Determine the approximate area of trapezoid
Answer:
25 squared cm
Step-by-step explanation:
Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])
h = height
[tex]b_{1}[/tex] = base 1
[tex]b_{2}[/tex] = base 2
A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)
A = 25
someone pls help!
Exponential function fis represented by the table.
Х
-2
-1
0
1
2
f(x)
-46
-22
-10
-4
-1
Function g is represented by the equation.
I
g(x) = -18
18(1) + 2
Which statement correctly compares the two functions on the interval [-1, 2]?
ОА.
Both functions are increasing, but function fincreases at a faster average rate.
OB.
Only function fis increasing, but both functions are negative.
OC.
Both functions are increasing, but function g increases at a faster average rate.
OD.
Only function fis increasing, and only function fis negative.
Answer:
okkkkk
wait
helping see the attachment
The statement that correctly compares the two functions on the interval [-1, 2] is that Both functions are increasing, but function g increases at a faster average rate.
How do you know an exponential function?Exponential functions are kwon to be a type of function that is often written in the form: y = abx.
Where:
b = constant ratio.
a = initial value.
One can known this function if a given table of ordered pairs, has x increasing by a constant value and the value of y increases by a common ratio.
From the Exponential table, we can see that the two functions (x, fx)are increasing, but only that of function g was said to have increases at a faster average rate.
Learn more about Exponential function from
https://brainly.com/question/12940982
Delia flew 2,416 miles the first year on the job. She flew 3,719 miles the second year. Delia flew 2,076 more miles the third year than the first and second years combined. How many miles did Delia fly the third year?
Answer:
8211 miles
Step-by-step explanation:
Delia flew 2416 miles on the first year of the job
She flew 3719 miles on the second year of the job
She flew 2076 miles more than the first and second year combined on the third year
= 2416+3719
= 6135
= 6135+2076
= 8211
Hence Delia flew 8211 miles on the third year
Someone please help me thank you
5x5
Answer:
25
Step-by-step explanation:
Victor just bought a new television for $738.00. He made a down payment of $78.00 and will pay monthly payments of $30.00 until it is paid off.
How many months will Victor be paying? (Assume that Victor pays no interest.
Answer:
22
Step-by-step explanation:
738.00 - 78.00 = 660
Am subtracting because he made a down payment so I can get the remaining of the money.
Let x = # of months
You use the remaining of the money to divide by 30 because of his monthly payments.
660 / 30x =
x = 22
Divide by 30 to isolate the variable x.
what is the function ???? please help fast
Answer:
hope it's helpful my dear gana
What is the area of the figure? (PLSSS HELP QUICKLY!!)
Answer:
416 cm^2
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]\frac{(b1+b2)*h}{2}[/tex]
where b1 and b2 are the bases and h is the height. We can plug what we have into the formula:
[tex]\frac{(14 + 38)*16}{2}[/tex]
[tex]\frac{(52)*16}{2}[/tex]
[tex]52*8[/tex]
416 cm^2
18. What is the greatest common factor of the terms 6q^5 – 21q^4 - 15q^2
A. 3q^2
B. 6q^2
C. 3q
D. 2q^2
Answer:
A. 3q^2
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).