Answer: The ball will hit the ground 6 seconds after it has ben thrown, at t = 6s.
Step-by-step explanation:
The equation for the height of the ball should be:
s(t) = (-16ft/s^2)*t^2 + 96ft/s*t
When s(t) = 0ft, means that the ball is in the ground
This represents the height of the ball as a function of t, the time in seconds.
We can see that at t = 0s:
s(0s) = (-16ft/s^2)*(0s)^2 + 96ft/s*(0s) = 0ft
Then at the time 0 seconds, the ball is in the ground, so we must look at the other root of the equation
(-16ft/s^2)*t^2 + 96ft/s*t = 0ft
To find it, we can use the Bhaskara equation, in this case is:
[tex]t = \frac{-96ft/s +- \sqrt{(96ft/s)^2 - 4*(-16ft/s^2)*0} }{-2*16ft/s^2} = \frac{-96ft/s^2 +-96ft/s^2}{-32ft/s^2}[/tex]
Then we have the two solutions:
t = (-96ft/s + 96ft/s)/(-32 ft/s^2) = 0s (the one that we already found)
And the other one is:
t = (-96ft/s - 96ft/s)/(-32ft/s^2) = 6s
Then:
s(6s) = 0ft
This means that the ball will hit the ground at t = 6 seconds.
The time required to hit the ground is required.
The time taken by the ball to reach the ground is 2.45 seconds.
The equation is
[tex]s(t)=-16t^2+96[/tex]
At the ground [tex]t=0[/tex]
so,
[tex]0=-16t^2+96\\\Rightarrow 16t^2=96\\\Rightarrow t=\sqrt{\dfrac{96}{16}}\\\Rightarrow t=2.45\ \text{s}[/tex]
The time taken by the ball to reach the ground is 2.45 seconds.
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About 7% of the population has a particular genetic mutation. 400 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 400.
Answer:
5.10 people
Step-by-step explanation:
Calculation to Find the standard deviation for the number of people with the genetic mutation
Using this formula
Standard deviation = √ ( n * p * q)
Where,
n = 400
p = .07
q = 100%-7% = 93% or .93
Let plug in the formula
Standard deviation =√400*07*.93
Standard deviation =√26.04
Standard deviation = 5.10 people
Therefore the standard deviation for the number of people with the genetic mutation is 5.10 people.
4n+7-2 pls in really need help;-;
Answer:
4n + 5
Step-by-step explanation:
This equation cannot be simplified further
Unless you meant 4n + 7 = 2
Then the answer would be -1.25
Answer:
4n+5 hope this helps
Step-by-step explanation:
4n+7-2
4n+5
Mr. Santiago has a flight from New York to Paris that covers a distance of 3,640 miles in 7 hours. If the plane travels at the same speed per hour, how many miles will it have traveled after 4 hours?
2. Josh watches 720 shows in one year. If he watches the same number of shows each month, how many shows does he watch in 5 months?
Answer:He traveled 2080 miles after 4 hours. He covered 3640 miles in 7 hours with a constant speed, so we can calculate the speed: 3640/7=520 miles/hour. After 4 hours, he traveled 520*4=2080 miles.
Step-by-step explanation:
Please explain as well how to do it. Thanks!
Answer:
The answer is B.
Step-by-step explanation:
Please refer to the attachment (ignore the horrible drawing, thank you).
Let the distance from P to T be red. The length of the red distance is x radians.
T’ is π-x. Thus, it is the red distance subtracted from the purple distance.
So, T’ is the reflection of T across the y-axis.
Therefore, we can simply multiply the x-coordinate of T to get T’.
T is (3/5, 4/5)
Then T’ must be (-3/5, 4/5).
Hence, our answer is B.
what is 15+15 I need help
Answer:
30
Step by step explanation:
lol
Please help me. What’s the answer ?
Answer:
D
Step-by-step explanation:
D
What is a factor of 42
Answer:
1, 42
Step-by-step explanation:
Another pair of factors of 42 would be 2, 21. Factors, when multiplied, would get 42. 6,7 would also work, etc etc.
What is the equation, in slope-intercept form, of the line
that is perpendicular to the given line and passes through
the point (2, -1)?
A)y = -1/3 x -1/3
B)y = -1/3 x -5/3
C)y = 3x - 3
D)y = 3x - 7
Answer:
My guess would be D.
Step-by-step explanation:
We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.
HELP PLEASE!!!! It's overdue :(
1: y = 3x + 42
2: y = 3(40) + 42
y = 162
3: Bob put 657 in a bank account. He gained 2 times the amount per year. y = 2x + 657
Plz give brainliest.
A line has a slope of - 3 and passes through the point (-3, 8). What is the equation of the line?
A. Y=-2/3x+6
B. Y=-2/3x+8
C. Y=6x-2/3
D. Y=8x-2/3
Answer:
y = -3x-1
Step-by-step explanation:
Point-slope equation of a line
y-y1=m(x-x1)
(x1,y1) are coordinates of a point in the line = (-3,8)
m is the slope of the line = -3
Fill in what you know and move constants to get y by itself (y=mx + b ... slope-intercept equation)
y-8=-3(x+3)
y-8=-3x-9
+8 +8
y = -3x-1
None of the options are correct
What fraction of this shape is shaded?
You must give your answer in its simplest form.
Type here
The fraction of the shape which is shaded in simplest form is 1/3.
The square in the diagram provided has a total of 12 boxes .
The number of shaded part is 4
To calculate the shaded fraction of the shape we have to use the formula:
Number of shaded part/ Total number of boxes present.
= 4/12
We can divide the numerator and denominator by 4 to get the simplest form.
= 1/3
The fraction of the shape which is shaded in simplest form is therefore
= 1/3.
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The formula for calculating simple interest, I, is I = prt where p is the principle, r is the rate and t is the time. Solve for p.
1. I - rt
2. I + rt
3. I/rt
4. rt/I
The solution of the formula for p is p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100
Given that the formula as:
⇒ I = prt
where I = Interest, P = principal,
R = rate and T = time is used to calculate the amount of simple interest earned.
⇒ I = prt
After getting P on one side, you must divide rt to get the letter p by itself.
⇒ I = prt
⇒ p = I/ rt
Hence, the correct answer would be option (C)
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Which equations has a solution of X=1.5
Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
which term of the series 2187,729,243...is 1/9
Answer:
Step-by-step explanation:
Givens
a = 2187
r = 1/3
L = 1/9
what is n
Formula
L = a*r^(n-1)
1/9 = 2187 * (1/3)^(n-1)
1/(9 * 2187) = (1/3)^(n - 1)
1/19683 = (1/3)^(n - 1)
=================
You need to break 19683 down into its prime factors.
19683 = 3* 729
19683 = 3 * 3 * 243
19683 = 3 * 3 * 3 * 81
81 = 3^4 so there are 4 more threes in the breakdown.
19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3
1/19683 = 1/(3)^(7-1)
1/9 is the 6th term in the series.
Plzzzz Helppppp
What’s 26+5×1÷2 Explain Your Answer
Answer:
[tex]26 + 5 \times \frac{1}{2} \\ \\ = 26 + \frac{5}{2} \\ \\ = \frac{57}{2} [/tex]
Answer: 28.5
Step-by-step explanation: 26 + ((5*1) / 2 = 28.5. Knowledge.
CUZ THATS THE WAY I LIKE TO LIVE MY LIFE, AND I KNOW THAT EVERYTHINGS GONNA BE JUST FINE!!
Help I don’t understand?!?!
Answer:
Which number u trynna flex bro
Step-by-step explanation:
lets go lets roll gogogogog
4x^10 + 9x^10 what is the sum or difference
Answer:
[tex]13x^1^0[/tex]
Step-by-step explanation:
[tex]4x^1^0+9x^1^0[/tex]
Add similar elements:
[tex]4x^1^0+9x^1^0=13x^1^0[/tex]
HELP PLEASE I BEG U
A motorcycle rental agency uses the formula shown to calculate the price to rent a motorcycle for one day, where P is the price, and m is the number of miles driven
P(m) = 45 +0.15m
The domain of this equation is m >0. Why is this the case?
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
B.The price to rent the motorcycle will always be greater than or equal to zero.
C.The domain of any linear function with a decimal slope is never zero.
D.This is incorrect. The domain of any linear function is all real numbers and is not dependent on context.
9514 1404 393
Answer:
A The number of miles driven will always be greater than or equal to zero and cannot be less than zero.
Step-by-step explanation:
The domain of a function such as this is the set of values that realistically may be given as input to the function. We know of no way to ride a motorcycle a negative number of miles, so the domain must be non-negative numbers.
__
In real life, the domain is likely non-negative integers.
I need help answering. Thanks.
Answer:
28
Step-by-step explanation:
C or B's so 30% + 40% = 70% so:
70/100 multiplied by 40 because 40 students
7/10 times 40 = 28
There were 130 faculty at a conference. If there were 18 more women than men attending, how many of each gender attended the conference?
Answer:
the number of men be 56
And, the number of women be 74
Step-by-step explanation:
The computation of the number of each genders attended the conference is shown below;
Let us assume the number of men be x
And, the number of women be y
Now the equations would be
x + y = 130 .............. (1)
And,
y = 18 + x ................ (2)
Now put the y value in the equation 1
x + 18 + x = 130
2x = 130 - 18
2x = 112
x = 56
Now the y is
= 18 + 56
= 74
So, the number of men be 56
And, the number of women be 74
Quick ASAP please!!!!!!!!!!!! Help!!!!
m2
Find the area of this shape.
1 m
2 m
N
4 m
3 m
Answer:
i hope this helps to you
can someone help me pls
There was a country concert held at the park. For every 3 men there were 5 women that went to the concert. If 30 more women attended the concert than men, how men and how many women attended the concert.
Answer:
3m == 5w, that means for such unit, there is a 2 person difference
30 person difference = 30/2 = 15units
and again one unit means 3m and 5w
so 15*3men, and 15*5women
and you can check the difference is 30
2. Estados Unidos importa actualmente todo su café. La demanda anual de café por parte de los consumidores estadounidenses viene dada por la curva de demanda Q = 250 – 10P, donde Q es la cantidad (en millones de libras) y P es el precio de mercado por libra de café. Los productores mundiales pueden cosechar y enviar café a los distribuidores estadounidenses con un coste marginal (= medio) constante de 8 dólares por libra. Los distribuidores estadounidenses pueden distribuir a su vez el café a un precio constante de 2 dólares por libra. El mercado de café de Estados Unidos es competitivo. El Congreso está considerando la posibilidad de establecer un arancel sobre las importaciones de café de 2 dólares por libra.
a. Si no hay ningún arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
b. Si se establece el arancel, ¿cuánto pagan los consumidores por una libra de café? ¿Cuál es la cantidad demandada?
c. Calcule la pérdida de excedente del consumidor.
d. Calcule los ingresos fiscales recaudados por el Estado.
e. ¿Genera el arancel una ganancia neta a la sociedad en su conjunto o una pérdida neta?
Business math pls help
sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Answer:
Step-by-step explanation:
Sec²A-cosec²A=(tanA+cotA)(tanA-cotA)
Tan^2A+1-cot^2A-1=(tan^2A-cot^2A)
tan^2A-cot^2A=tan^2A-cot^2A
L.H.S=R.H.S
Hence proved.
Please help I’m stuck on this question
Answer:
A. this is a vector, so you need a bar on top (ie not D)
Step-by-step explanation:
Rewrite 2y = 6 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
y = 3
m = 0
b = (0, 3)
Step-by-step explanation:
To put it in slope intercept form, divide each side by 2:
2y = 6
y = 3
So, y = 3 is the equation in slope intercept form.
The slope is 0, since there is no x value in the equation.
The y-intercept is (0, 3) since the equation is just y = 3.