The Height H(t) (in feet) of a projectile fired vertically into the air from the ground is given by the equation H(T) = -16t^2 + 96t, where t is time (in sec) after the launch.
A) How long will it take the projectile to reach its maximum height?
B) What is the maximum height?
C) How long does it take the projectile to reach the ground again.
Answer:
a) 3s
B) 144m
C) 6s
Step-by-step explanation:
Given the height modeled by the function;
H(T) = -16t^2 + 96t,
The body will reach its maximum height when dh/dt = 0 (when velocity is zero)
dh/dt = -32t + 96
0 = -32t + 96
32t = 96
t = 96/32
t = 3s
Hence it will take the projectile 3s to reach its maximum height'
B) To get the maximum height we will substitute t = 3 into the equation
H(T) = -16t^2 + 96t,
H(3) = -16(3)^2 + 96(3)
H(3) = -144+ 288
H(3) = 144m]
Hence the maximum height is 144m
C) The projectile reaches the ground at h = 0
H(T) = -16t^2 + 96t,
0= -16t^2 + 96t,
16t² = 96t
16t = 96
t = 96/16
t = 6
Hence it will take the projectile 6s to reach the ground again
According to a survey in one U.S. city, 53% of women between the ages and 25 of 35 are married, 45% are working full time, and 21% are married and working full time. If a woman between the ages of 25 and 35 is picked at random from the city, what is the probability that she is working full time or married but not both
Answer: 56%
Step-by-step explanation:
given data:
married women between 25 and 35 = 53%
working full time = 45%
married and working full time = 21%
Solution:
= 53% - 21%
= 32%
= 45% - 21%
= 24%
probability that she is working full time or married but not both
= 32% + 24%
= 56%
Ron loan was 7,500.His interest rate is 8.5% for 4 years? What is the interest for the 4 years and the total payment at the end of the 4 years?
Answer:
The answer is 3000
Step-by-step explanation:
Victoria invests $200 into an account with a 2.6% interest rate that is compounded semiannually. How much money will she have in this account if she keeps it for 10 years? Round your answer to the nearest dollar. Provide your answer below: The graph of the function f(2) - log,() is stretched vertically by a factor of 6, shifted to the right by 3 units, and shifted up by 5 units. Which of the answer choices gives the equation of the function g(2) described above? Select the correct answer below:
g(x) = -6log(x + 3) - 5
g(x) = -6log(x + 5) +3
g(x) = 6 log (x + 3) +5
g(x) = 6 log (x - 3) +5
g(x) = 6 log2(x – 3) - 5
g(x) = -6 log2(x - 5) +3
Answer:
1. Victoria will have in this account the sum of $258.95 after 10 years.
2. The answer choice that gives the equation of the function g(2) described above is:
g(x) = 6 log (x + 3) +5
Step-by-step explanation:
a) Data and Calculations:
FV (Future Value) $258.95
PV (Present Value) $200.00
N (Number of Periods) 20.000
I/Y (Interest Rate) 1.300%
PMT (Periodic Payment) $0.00
Starting Investment $200.00
Total Principal $200.00
Total Interest $58.95
help i give brainliest
Answer:
y = 11-x
y = 2x-1
Step-by-step explanation:
Let x and y be the two numbers
x+y = 11
y = 2x-1
Solving the first equation for y
y = 11-x
Answer:
Im their friend so i'ma just take the pts (cuz i need them)
Step-by-step explanation:
Thx
HELP LE WITH THE WORKSHEET ITS FOR 6 TH GRADE YALL GOT THIS CMON PLEAE HELPPP ILL GIVE YOU ALL THE POINTS I CAN PLEASE PLEASE PLEASE I BEG
Answer:
1) 55/100
2) 68/100
3) 24/100
4)95/100
5) 72/100
6)44/100
7) 90%
8) 56%
9)35%
10)76%
11) 10%
12)80%
Step-by-step explanation:
Answer:
N is 11/20, A is 17/25, T is 6/25, E is 19/20, H is 18/25, I is 11/25, M is 90%, A is 56%, C is 35%, L is 76%, T is 10%, U is 80%
Step-by-step explanation:
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
so do yall know this?
Answer:
Length: meter
Mass: Kilogram
Volume of a solid: Cubic meter
Volume of a liquid: Liters
Temperature: Degree Celsius
Time: second
The formula for calculating density:
[tex]p = \frac{m}{v} [/tex]
Answer:
Look below! Have a wonderful day! Happy Holidays! :) Hope I helped!
I believe the formula of calculating Density is
p = m/v
Length is Meter
Mass is Kilogram
Volume of a Solid is Cubic Meter
Vloume of a Liquid is Liters
Temperature Degree Celsius
Time is Second
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.
Answer:
57.00
Step-by-step explanation:
welcome
Answer:
1.80
Step-by-step explanation:
60 x .03=1.80
the circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
sorry I hope I could help u :(
Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m
What is the ratio for 321 to 56
Answer:
Rounded to 12 decimals:
56/321 ≈ 17.445482866044%
Rounded to maximum 2 decimals:
56/321 ≈ 17.45%
the equation of three lines
When a fair 6 sided dice is rolled, what is the probability that is will land on the five?
Answer:
1/6
Step-by-step explanation:
Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it
QUADRATIC FORMULA SIMPLIFIED PLZ HELP
Answer:
3x² + 5x + 1 = 0 simplifiedx = (-5 ± [tex]\sqrt{13}[/tex])/6 rootsStep-by-step explanation:
Given quadratic formula
3x² + 5x - 5 = - 6Standard form
ax² + bx + c = 0Simplifying
3x² + 5x - 5 + 6 = 03x² + 5x + 1 = 0Solving
x = (-5 ± [tex]\sqrt{5^2 -4*3*1}[/tex])/(2*3)x = (-5 ± [tex]\sqrt{13}[/tex])/6If f(x) -3x + 4 and g(x) =2, solve for the value of x for
which f(x)= g(x)is true.
Y=f(x)
g(x)
3
Answer:
28375683nxjs8737trxniu89oiec8n23783287 doo doo
Step-by-step explanation:
A student decided to make random guesses for all the above 5 true/false questions. What is the probability of this student getting one or more correct answer
Answer: 25%
Step-by-step explanation:
The probability of getting at least one correct answer is 255/256 ≈ 0.996
The probability of getting exactly one correct answer is 5/256 ≈ 0.0195
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
As there are two possible results for each of the 5 questions, there are
2⁵ = 256 possibilities total.
To calculate the probability, then, we only need to know how many ways the student can get one correct answer.
The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.
Probability of at least one correct answer:
There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.
Thus, the probability of getting at least one correct answer is
255/256 ≈ 0.996
Probability of exactly one correct answer:
There are 5 ways the student can get exactly one correct answer
Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
The Department of Commerce in a state has determined that the number of small businesses that declare bankruptcy per month is approximately a Poisson distribution with a mean of 3.4. Find the probability that more than 3 bankruptcies occur next month.
Answer:
0.44164
Step-by-step explanation:
Given that :
Mean (λ) = 3.4
probability that more than 3 bankruptcies occur next month
Using the poisson distribution formula :
P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!
Probability of obtaining more than 3 bankruptcies :
To save computation time, we can use the poisson distribution calculator :
P(x >3 ; λ = 3.4)
P(x > 3) = 0.44164
P(x > 3) = 0.44164
Please help geometry
Answer:
Step-by-step explanation:
if the triangles are similar their sides should be in proportion so
(56/70)=(48/60) and they are in proportion because .8 = .8
ΔNQR ~ ΔNLM
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
Which ordered pair could be removed to
make the set a function?
{(1,3), (2,4), (3,4), (3,6), (5, 10), (6,3)}
A. (1,3)
B. (6,3)
C. (5, 10)
D. (3,4)
Answer:
The answer is choices D.
Step-by-step explanation:
hope this helps
need help with this problem it’s math so if you know math come on in
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation:
Solve for l P = 2 ( l + b )
A. l = P - 2b/2
B. l = P - b/2
C. l = 4 ( P + b )
D. l = P - b/4
what is the answer please
Answer:
X=20
Step-by-step explanation:
I think
What is the slope of a line represented by 3x-14y=28
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
help!! how do i solve this and what is the answer??
Answer:
Yes you got it right.
Step-by-step explanation:
x= -7/4
x= -1 3/4, x= -1.75
List the following in order from least (top) to greatest (bottom).
6, 25, 27, V64, 764
Answer:
6
25
27
64
764
It's just ascending order, easy.
What is the equation of the line shown below? Give your answer in slope-
intercept form.