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
can someone help me please?? i really appreciate it
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
In summary, the translation and scale factor are:
Translation: (x,y)↦(x+5,y+4)
Scale factor: 2
Step-by-step explanation:
Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?
Answer:
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Step-by-step explanation:
La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo
cos α ( α angulo que forma la escalera con el piso )
cos α = x / L
Tomando derivadas con respecto al tiempo (L es constante ) se tiene:
- sen α * dα / dt = dx/ dt / L
Cuando el extremo superior de la escalera está a 18 pies del piso, entonces sen α = 18 / 30 = 0.6
dx/dt = 1/2 pie/sec
dα/dt = - (1/2)/ L* 0.6
dα /dt = - 0.5 / 18
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
What is 5/9 +1/3 = I appreciate all answers!!
1.) Multiply Denominator:
9x3= 27
27 will be your new denominator for your answer.
then take 5 and multiply by 3.
5x3=15
then take 1 and multiply by 9.
1x9=9
Afterwards, you plus 15 and 9 to get 24.
so your fraction for the end will be 24/27.
Find the distance between the points (1, 4) and (- 2, - 1).
hey! i’ll give brainliest please help
Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
Find the measure of x in each figure
Step-by-step explanation:
40+2x=90°(given in question)2x=90-40x=50/2x=25°stay safe healthy and happy...The volume of the triangular prism is 54 cubic units.
What is the value of x?
O 3
O 5
O 7
O 9
Use the given area A of the rectangle to find the value of x . A rectangle with its length labeled left-parenthesis 4 x plus 3 right-parenthesis feet and width labeled left-parenthesis 4 x minus 5 right-parenthesis feet. The area of the rectangle is 209 square feet.
Answer:
x = 4
Step-by-step explanation:
Length = (4x + 3) feet
Width = (4x - 5 )feet
Area = Length x Breadth
209 = (4x + 3)(4x - 5)
209 = 4x( 4x -5) + 3 (4x -5)
[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]
[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]
Since measure of length or width cannot be negative, we take x = 4
I WILL GIVE BRAINLESS IF YOU HELP ME PLZ
S.O.S I HAVE MATH
For what value of is the expression 4+2+36 a perfect square?
Answer:
[tex]2^2+2+6^2[/tex]
Step-by-step explanation:
(−t 3 +5t 2 −6t)+(8t 2 −8t)
PLZ HELP ASAPPP I just need with 1 and 2 this is my very last assignment! Thank you guys for all your help this yr!
Answer:
1. a = 32.96 m∠B = 21° b = 12.74
2. x = 24.99
Step-by-step explanation:
1. Use the law of sines:
a/sin 112 = 26/sin 47
a = 26 sin 112/sin 47
a = 32.96
m∠B = 180 - 47 - 112 = 21°
b/sin 21 = 26/sin 47
b = 26 sin 21/sin 47
b = 12.74
2. Use the law of cosines
[tex]x^{2} = 17^{2} + 11^{2} - 2(17)(11) cos 125[/tex]
= 289 + 121 - 374 cos 125
= 624.5175....
x = [tex]\sqrt{624.5175...}[/tex]
= 24.99
Find the error & explain why it is wrong: Megan wanted to solve this problem: given that sin 0=-divided2/2, and cos =divided3/2, find tan 0
What did she do wrong
Answer:
As seen on the picture, all the steps A to D are correct.
Step A. Identity is correctStep B. The fraction is correctStep C. Simplification is correctStep D. Solution is correctNote:
It could be more simplified by adding a step and multiplying both the numerator and denominator by √3: [tex]\frac{-\sqrt{2} }{\sqrt{3} } = - \frac{\sqrt{6}}{3}[/tex]subtract -2/15 from -3/5 and add the result to 5/6
Answer:
6/5
Step-by-step explanation:
-3/5-(-2/15)+5/6
-3/5+2/15+5/6
=-3+2×5/15 + 5/6. (taking lcm)
=-3+6/15+5/6
=3/15+5/6
=3+5×3/15 (taking lcm)
=18/15
=6/5
Answer:
Step-by-step explanation:
-3/5-(-2/15)+5/6
=-3/3+2/15(take lcm of 3 and 15)+5/6
=-3*3+2*1/15+5/6
=-9+2/15+5/6
=-7/15+5/6(take lcm of 15 and 6)
=-7*2+5*5/30
=-14+25/30
=11/30
=11/30
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
Write the equation of a line that passes
through point (-5,3) and is perpendicular to
y=3/5x +2.
Answer:
[tex]y=-\frac{5}{3}x-\frac{16}{3}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, 4/3 and -3/4, etc.)1) Determine the slope (m)
[tex]y=\frac{3}{5} x +2[/tex]
From the given equation, we can see that [tex]\frac{3}{5}[/tex] is the slope of the line since it's in the place of m. Because perpendicular lines always have slopes that are negative reciprocals, the line we're currently solving for would have a slope of [tex]-\frac{5}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{5}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{5}{3}x+b[/tex]
Plug in the given point (-5,3)
[tex]3=-\frac{5}{3}(-5)+b\\3=\frac{25}{3}+b[/tex]
Subtract [tex]\frac{25}{3}[/tex] from both sides to isolate b
[tex]3-\frac{25}{3}=\frac{25}{3}+b-\frac{25}{3}\\-\frac{16}{3} = b[/tex]
Therefore, the y-intercept is [tex]-\frac{16}{3}[/tex]. Plug this back into [tex]y=-\frac{5}{3}x+b[/tex]
[tex]y=-\frac{5}{3}x+(-\frac{16}{3})\\y=-\frac{5}{3}x-\frac{16}{3}[/tex]
I hope this helps!
what is the y-intercept for 3x^2 + 2x - 1
Answer:
y- intercept = - 1
Step-by-step explanation:
To find the y- intercept , let x = 0 in the equation and evaluate for y
y = 3(0)² + 2(0) - 1 = 0 + 0 - 1 = - 1
y- intercept = - 1 or (0, - 1) in coordinate form
Answer:
Plug x=0 into the equation and solve the resulting equation
The y-intercept:
3x^2 + 2x - 1
3(0)^2 + 2x(0)- 1
0+0-1
-1
y=−1 is intercept for y
(0,−1)
Step-by-step explanation:
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B
find angle a given that a=18.2, angle b=62° and angle c=48°
Answer:
They only add up to 128.2, so if they are asking for the final angle to equal 180, then it would equal 51.8.
Hope that this helps!
Evaluate (2.4 x 10^4) (4.5 x 10^3)
Plss help!
Answer:
Step-by-step explanation:
2.4*10^4*10^3*4.5
=10.8*10^4+3
=10.8*10^8
=10.8*100000000
=1080000000
i need someone to help me with my math assignments
Answer:
okay depending on the question
Answer:
I can try
Step-by-step explanation:
What is
[tex] {5}^{7} [/tex]
Answer:
78,125
Step-by-step explanation:
5 × 5 × 5 × 5 × 5 × 5 × 5 = 78125
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Have a good day :)
An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines
Answer:
Step-by-step explanation:
pN = 64/100 = 0,64 = 64%
pW = 80/100 = 0,8 = 80%
The planes of Waxwing airlines are more punctual
Three airlines serve a small town in Ohio. Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%. Their on-time rates are 81%, 70%, and 41%, respectively. A flight just left on-time. What is the probability that it was a flight of airline A
Answer:
If a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
Step-by-step explanation:
Since three airlines serve a small town in Ohio, and Airline A has 48% of all scheduled flights, airline B has 35% and airline C has the remaining 17%, and their on-time rates are 81%, 70%, and 41%, respectively, if a flight just left on-time, to determine what is the probability that it was a flight of airline A the following calculation must be performed:
A = 0.48 x 0.81 = 38.88
B = 0.35 x 0.7 = 23.5
C = 0.17 x 0.41 = 6.97
38.88 + 23.5 + 6.97 = 100
38.88 = X
69.35 = 100
38.88 = X
38.88 x 100 / 69.35 = X
3,888 / 69.35 = X
56.06 = X
Therefore, if a flight just left on-time, the probability that it was a flight of airline A is 56.06%.
Please help 10 points...
Answer:
area of a trapezoid is 1/2(h)(b1 + b2)
1/2 (3) (6+2)
1/2 (24)
12 units ²
What conclusion can be determined from the dot plot below? A. The median of the data set is 3. B. The mean of the data set is 3. C. The range of the data set is 5. D. The number of observations is 15.
Given:
Consider the below figure attached with this question.
To find:
The conclusion that can be determined from the dot plot.
Solution:
The number of dots in the dot plot is 15. So, the number of observations is 15 and option D is correct.
The data set represented by the dot plot is:
2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6
Number of observations is 15, which is an odd number. So, the median of the data set is:
[tex]Median=\dfrac{15+1}{2}\text{th term}[/tex]
[tex]Median=\dfrac{16}{2}\text{th term}[/tex]
[tex]Median=8\text{th term}[/tex]
[tex]Median=4[/tex]
The median of the data set is 4. So, option A is incorrect.
Mean of the data set is:
[tex]Mean=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}[/tex]
[tex]Mean=\dfrac{2+2+3+3+3+4+4+4+4+4+5+5+5+6+6}{15}[/tex]
[tex]Mean=\dfrac{60}{15}[/tex]
[tex]Mean=4[/tex]
The mean of the data set is 4. So, option B is incorrect.
The range of the data set is:
[tex]Range = Maximum - Minimum[/tex]
[tex]Range = 6-2[/tex]
[tex]Range = 4[/tex]
The range of the data set is 4. So, option C is incorrect.
Therefore, the correct option is D.
Find the missing measurements.
Area: ?
Length: 13 cm
Width: 15 cm
Answer:
13 x 15 = 195
Find the value of each variable in the figure on the right.
What is x and y?
CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]
if 8x=16y then
[tex] \frac{x}{y} [/tex]
is
Answer is 2
If 8x = 16y
on rearranging question,
x/y = 16/8 = 2
Answer:
[tex]\frac{x}{y} = 2[/tex]
Step-by-step explanation:
[tex]8x = 16y[/tex]
Dividing both the sides by 8[tex]=> \frac{8x}{8} = \frac{16y}{8}[/tex]
[tex]=> x = 2y[/tex]
Divide both the sides by 'y'.[tex]=> \frac{x}{y} = \frac{2y}{y}[/tex]
[tex]=> \frac{x}{y} = 2[/tex]