Answers
Step-by-step explanation:
Since the ball is going upwards, then down, we have a parabola.
In the form of
[tex] - {x}^{2} + bx + c = 0[/tex]
The leading coeffeicent is negative because we are increasing then decreasing.
Let use t for seconds and h is height.
So we have a function
[tex]h(t) = - {t}^{2} + b(t) + c[/tex]
Since I'm have no information: I'm use calculus and physics to solve this.
All objects fall at the speed of
[tex] - 9.8 \frac{m}{ {s}^{2} } [/tex]
Which is the unit for acclereation.
Since we have are trying to a poisition versus time function, note that the anti derivative of acclereation will give us velocity. So let calculate that
[tex] \frac{d}{dx} (a) = - 9.8x[/tex]
Then note that the anti derivative of velocity is poistion.
[tex] \frac{d}{dx} (v) = - 4.9 {x}^{2} [/tex]
So we know our leading coeffeicent, is -4.9x^2.
The ball is initially launched at a speed of 15 m/s. So the first derivative of the function at x=0, should be 15.
[tex] \frac{d}{dx} (x) = - 4.9 {x}^{2} + bx[/tex]
[tex]v = - 9.8x + b[/tex]
Since 0 times anything is 0, b must be 15 in order to have a first derivative of 15.
Since 0,1 is the y intercept, c will be 1.
So our answer is
[tex] - 4.9 {x}^{2} + 15x + 1 = 0[/tex]
b). When x=1, we get a height of 11.1. Plug in 1 into the function, and we get 11.1
c). Set the function equal to zero and use quadratic formula to solve. You will get 3.13 seconds.
d. The max occurs when the velocity is 0. So we can first differentiate the function, which we will get
[tex] - 9.8x + 15 = 0[/tex]
Then we solve for x.
We get 1.5 seconds. Then plug in 1.5 into the function, we get 12.5. So the max height is 12.5 and this occurs at 1.5 seconds.
e).
Related Questions
gina wilson unit 7 homework 3 second page document
Answers
Answer:
4) 14.5
6) 11.4
Step-by-step explanation:
4) Area = 20 * 21/2 = 29 * x/2
so x = 20 * 21/29 = 14.5
6) Area = 22.4 * 13.2/2 = 26 * x/2
so x = 22.4 * 13.2/26 = 11.4
Most dogs fail to become service dogs. In a recent training class, only 4 of 15 were certified as service dogs. What percent of dogs, rounded to the nearest whole number, became certified service dogs?
Answers
Answer:
27
Step-by-step explanation:
4/15×100 =80/3 =26.6
Rounded to the nearest whole number is 27
-4 and a y intercept at 3
Answers
Answer:
f(x)=-4x+3
Step-by-step explanation:
Assuming you're talking about f(x)=mx+b. b is y intercept. So f(x)=mx+3. You substitute m for -4, as you said, and we get f(x)=-4x+3
a butterfly can fly 82 feet in four seconds and a dragonfly 50 in two seconds. which is faster
Answers
Answer:
The dragonfly is 4.5 feet per second faster.
Step-by-step explanation:
1/2 + p = -3
PLEASE HELP I DONT UNDERSTAND HOW TO DO THIS
Answers
Answer:
p=3.5
Step-by-step explanation:
So minus 1/2 on both sides. p= 3.5
Area + circumference of circle
Answers
Answer:
153.86 cm² and 43.96
Step-by-step explanation:
The formula to find the area of a circle is A = πr²
A = 3.14(7)²
A = 3.14(49)
A = 153.86
To find the circumference, use the formula C = π2r
C = 3.14*2*7
C = 43.96
The area of the circle is 153.86 cm² and the circumference of the circle is 43.96.
Hope this helps :)
Which method would be the best to solve the following system of equations? y=1/2x+6 -2x+4y=24
A. None of these methods will work.
B. Elimination
C. Substitution
D. Graphing
Answers
Answer:
C. Substitution
But gives you infinity solitions
Solving steps:
Step: Solvey=1/2
x+6for y:
y=1/2x+6
Step: Substitute
1/2
x+6foryin−2x+4y=24:
−2x+4y=24
−2x+4(1/2x+6)=24
24=24(Simplify both sides of the equation)
24+−24=24+−24(Add -24 to both sides)
0=0
In a survey of 2500 registered voters, 1900 of them said that they plan to vote in the next presidential election. Let p denote the proportion of all registered voters who plan to vote. Find the 95% confidence interval for p.
Answers
This can alternatively be written as 0.74 < p < 0.78
========================================================
Explanation:
n = 2500 = sample size
x = 1900 = number of successes = number who plan to vote
phat = x/n = 1900/2500 = 0.76
phat is the sample proportion that estimates the population proportion p.
At 95% confidence, the z critical value is roughly z = 1.96 which you use a table or calculator to find this value (or it's something you memorize).
E = margin of error
E = z*sqrt(phat*(1-phat)/n)
E = 1.96*sqrt(0.76*(1-0.76)/2500)
E = 0.016742 approximately
The lower bound (L) of the confidence interval is
L = phat - E
L = 0.76 - 0.016742
L = 0.743258
L = 0.74
The upper bound (U) of the confidence interval is
U = phat + E
U = 0.76 + 0.016742
U = 0.776742
U = 0.78
The values of L and U are approximate.
The confidence interval in the format (L, U) would be (0.74, 0.78) approximately.
Another way to write the confidence interval is to say 0.74 < p < 0.78 as it's in the form L < p < U; showing that we're 95% confident that p is somewhere between 0.74 and 0.78
In other words, we're 95% confident that between 74% and 78% of the population would plan to vote in the next presidential election.
What is the surface area of the net?
Answers
Answer:
150.66
Step-by-step explanation:
Mamady is planning a trip. He will stay six nights at a hotel that charges $51.25 a night. What is a good estimate of the total amount he will pay for the hotel? 250, 300, 360, 50.
Answers
Answer:
Answer is 300
Step-by-step explanation:
because 51.25x6=307.5 and the closest estimate is 300.
Linda bought 2 sets of 8 apples and each set costs $5.6 how much money does Linda need to pay to the cashier?(giving brainliest!)
Answers
Explanation: If she bought 2 sets of 8 apples then it’s 8 x 2 which is 16 and then 16 x 5.6 is 89.6
if you take Yola's age and subtract Zed's age you get 23. If you double Zeds age and then add Yolas age you get 80. Find both ages
Answers
Answer:
Yola is 42, Zed is 19
Step-by-step explanation:
I used a system of equations:
y - z = 23
2z + y = 80
Then I graphed them.
You ran a 100m race in 10 seconds. How fast did you run?
options:
100 m/s
100 mph
10 mph
10 m/s
Answers
Answer:
The answer is 10 mph
Step-by-step explanation:
Divide 100 by 10
Which graph represents the function y = log x + 4?
Answers
Answer:
see attached
Step-by-step explanation:
We assume you are looking for the graph of ...
y = log(x) +4
This represents a vertical translation 4 units upward of the graph of log(x). That is, the point (1, 0) that appears on a graph of a log function will be translated to (1, 4).
The only graph shown that goes through the point (1, 4) is the last one, attached.
__
If you are actually looking for the graph of ...
y = log(x +4)
it will be a graph of the log function shifted 4 units to the left. The 2nd offered choice is that graph. The point (-3, 0) will be on that graph.
_____
Additional comment
For a function y = f(x), the transformation ...
y = f(x -h) +k
represents a horizontal shift of h units to the right, and a vertical shift of k units upward. Here, the argument of the log function is not clearly shown, so we cannot tell if the intended shift is to the left or upward.
18) Solve for x.
A) 42
B) 50
C) 63
D) 75
Answers
The correct answer to your question is D
Sure hope this helps you
The triangles ΔDJY and ΔFJS are similar triangles. Then the value of x will be 75. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The angle ∠J is common for both triangles.
The triangles ΔDJY and ΔFJS are similar triangles, then we have
DJ/DF = YJ/YS
50/x = 42/63
x = 75
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
I need your help please
Answers
Answer:
Answers A C C B A C C A
Step-by-step explanation:
Mark is 8 years older than half Jon's age. If Jon is 20, how old is Mark?
Answers
Answer:
18 years old
Step-by-step explanation:
20÷2=10
10+8=18 years old
g(t)=-3t^2+2t-5 and h(t)=4t+3
Find:
h(t)-g(t) , g(3)+h(3) , (g-h)(2) , g(-1)-h(2) , (g•h)(3) , g(2)+h(4) , g(1)•h(-1)
Answers
Answer:
If this is the problem
g(t) = t2 - 3t and h(t) = 3t - 4
g[ h(t) ] = (3t-4)2 - 3 (3t-4)
g[ h(t) ] = 9t2 - 24t + 16 - 9t + 12
g[ h(t) ] = 9t2 - 33t + 28
Justin is evaluating the expression 12.5 + 3.8 x, when x is 7.9.
12.5 + 3.8 (7.9). 16.3 (7.9). 128.77.
What was Justin’s error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
Justin should have added 3.8 and 7.9 first.
Answers
Answer:
Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation:
Multiply before adding
12.5 +3.8(x)x
12.5+3.8x7.9
Answer:Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation:
3 times the sum of a number and 5 is 6
Answers
Answer:
the number is -3
Step-by-step explanation:
3(x + 5) = 6
let x be the number anyways thooo
we distribute 3
3x + 15 = 6
then solve
3x = 6 - 15
3x = -9
x = -3
Explain how the Multiplication Property of Equality can be used to solve the equation
x ÷ 6 = 7.
Answers
Step-by-step explanation:
Multiplication property of equality is when you multiply the same number on both sides of an equation, the equation will still hold true.
In order to have x by itself, you need to multiply by 6. The property states that you can multiply 6 on both sides and the equation will still hold true.
ACTUALLY GUVW ME THE ANSWERS I NEED!!!!
A diver is standing on a platform 24 ft above a pool. He jumps from the platform with an initial
upward velocity of 8 ft/s. Using the formula, h(t) = -16t2 + vt + s, where h is his height
above the water, t is the time, v is his starting upward velocity, and s is his starting height.
A) After how long will the diver reach its maximum height?
B) What is the maximum height the diver will reach?
Answers
Answer:
A) t = 0.25 s
B) h = 25 m
Step-by-step explanation:
Given equation: [tex]h(t) = -16t^2 + vt + s[/tex]
where:
h = height above water (in feet)t = time (in seconds)v = initial upwards velocity = 8 ft/ss = initial height = 24 ftA) To find the value of t when h is at its maximum, differentiate the equation with respect to t:
[tex]\implies h'(t)=-32t+v[/tex]
Substitute given value of v:
[tex]\implies h'(t)=-32t+8[/tex]
Set to zero and solve for t:
[tex]\implies -32t+8=0[/tex]
[tex]\implies t=0.25 \textsf{s}[/tex]
B) Substitute the found value for t into the equation and solve for h:
[tex]\implies h(0.25) = -16(0.25)^2 + 8(0.25) + 24[/tex]
[tex]\implies h(0.25) = -1 + 2 + 24[/tex]
[tex]\implies h(0.25) =25 \textsf{ m}[/tex]
Find the slope and the y-intercept of the graph of the linear equation.
y = -3x+2
The slope is (Answer here)
and the y -intercept is (Answer here)
Answers
Answer:
-3 is the slope
2 is the y intercept
Step-by-step explanation:
always
Select the correct answer.
Adam constructed quadrilateral PQRS inscribed in circle O. How can he prove PQRS is a square?
A.
He needs to show only that the diagonals are perpendicular.
B.
He needs to show only that the diagonals are perpendicular and congruent.
C.
He needs to show only that the diagonals are perpendicular and bisect each other.
D.
He needs to show that the diagonals are perpendicular, congruent, and bisect each other.
Answers
Answer: D
Step-by-step explanation:
You need to prove that the diagonals bisect each other to prove it's a parallelogram.
Now, to prove it's a square, you need to prove it's both a rectangle and a rhombus.
To prove it's a rectangle, you need to prove the diagonals are congruent.To prove it's a rhombus, you need to prove the diagonals are perpendicular.Find the perimeter of the semicircle. Let ≈ 3.14. r=17
Answers
Answer:
53.38
Step-by-step explanation:
First, find the circumference of the whole circle.
C=2pir
C=2(3.14)(17)
C=106.76
Then, divide by 2 because a semi-circle is half of a circle.
106.76/2 = 53.38
Therefore, the circumference, or the perimeter, of the semicircle is 53.38
NO LINKS!!
Finding the Width of a Gorge: Find the distance from A to C across the gorge illustrated in the figure.
Answers
Answer:
70.02ft≈70ft
Step-by-step explanation:
Here,
∠ABC=35°
BC=100ft
AC=?
Now,
[tex]tanB=\frac{AC}{BC} \\\\[/tex][tex]tanB=\frac{AC}{BC} \\\\tan35=\frac{AC}{100ft} \\\\0.7002=\frac{AC}{100ft} \\\\100ft*0.7002=AC\\\\AC=70.02ft[/tex]
Because tan=p/b
[tex]\\ \rm\rightarrowtail cot35=\dfrac{Base}{Perpendicular}[/tex]
[tex]\\ \rm\rightarrowtail cot35=\dfrac{BC}{AC}[/tex]
[tex]\\ \rm\rightarrowtail cot35=\dfrac{100}{AC}[/tex]
[tex]\\ \rm\rightarrowtail AC=\dfrac{100}{1.43}[/tex]
[tex]\\ \rm\rightarrowtail AC=69.93ft[/tex]
Please answer quick 15 points this is urgent
Answers
Answer:
x = 26
Step-by-step explanation:
180 = (5x-10) + (3x-18)
180 = 8x -28
180 + 28 = 8x
208 = 8x
x = 26
6849 rounded to the nearest 100
Answers
Hope this helps!
Round 822,119 to the nearest ten thousand.
Answers
Answer:
820,000
Step-by-step explanation:
2 is lower than 5 so round down to 20
Pls Brainliest If Helps
Answer:
820,000
Step-by-step explanation:
The 10,000 digit is the 2 on the left.
All digits to the right of the left 2 become zero.
820,000
The first digit that is dropped is the right 2.
Since it is not 5 or more, the 2 that is kept does not go up to 3.
Answer: 820,000
suppose a charity received a donation of $12.8 million, if this represents 33% of the charitys donated funds, what is the total amount of its funds
Answers
Answer:
Step-by-step explanation:
Restate the problem:
" 29% of x is $28.9 million"
(29/100)x = $28.9 million
[in word (story) problems "of" usually means multiply]
29% may be written as (29/100) or 0.29 as needed by the problem.
x = (100/29)($28.9 million)
x ≅ $99.655 million
x ≅ $100 million [rounded