Answer:
80 ft/s
Step-by-step explanation:
Given that,
A ball is thrown vertically upward from the top of a 96-ft tower, with an initial velocity of 16 ft/sec. Its position function is given by :
[tex]s(t)=-16t^2 + 16t + 96[/tex] ...(1)
When it hits the ground, s(t) = 0
[tex]-16t^2 + 16t + 96=0\\\\t=3\ s[/tex]
At t = 3 s it will hit the fround.
We need to find its velocity when it hits the ground.
Differentiate equation (1) to find its velocity.
[tex]v=\dfrac{ds(t)}{dt}\\\\v=\dfrac{d(-16t^2 + 16t + 96)}{dt}\\\\v=-32t+16[/tex]...(2)
Put t = 3 in equation (2)
[tex]v=-32(3)+16\\\\v=-80\ ft/s[/tex]
Hence, when it will ground its velocity is 80 ft/s.
I need help on this question
Answer:
A
Step-by-step explanation:
If AX) = x2 + 2x + 3, what is the average rate of change of AX) over the interval (-4, 6]? OA 51 B. 40 OC. 31 OD 20 OE 4
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change = [tex]\frac{51-11}{6-(-4)}[/tex] = [tex]\frac{40}{10}[/tex] = 4 → E
An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?
Answer:
2.2 m/s
Step-by-step explanation:
Step one
Given data
An earthquake wave travels through 55 km
hence distance = 55 km
time taken = 25 seconds
Required
the expression relating t and d
Step two:
we know that velocity is
Speed= distance/time
speed= 55/25
Speed= 2.2 m/s
An airplane travels 500 miles an hour.
How long will it take to travel 4.000 miles?
An airplane travels 500 miles an hour then it will take 8 hours to travel 4.000 miles.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An airplane travels 500 miles an hour. We need to find how long it will take to travel 4.000 miles.
We know that
Let t be the time taken by an airplane to travel 4000 miles.
An airplane traveled 500 miles = 1 hour
An airplane traveled in 1 mile = 1/ 500
An airplane traveled in 4000 miles = 4000/500
= 8 hour
Thus, It will take the airplane 8 hours to travel 4,000 miles.
Learn more about a unitary method;
https://brainly.com/question/22056199
What dividend is represented by the synthetic division below?
Answer:
2x^3+10x^2+x+5
Step-by-step explanation
Answer to edge
Answer:
B - 2x^3 + 10x^2 + x + 5
Step-by-step explanation:
8x+5=61 immma workk out fo yall
-5 -5
8x =56
Answer:
x = 7
Step-by-step explanation:
8x + 5 = 61
8x = 56
x = 7
how do i solve this problem?
Answer:
You can use a^2+b^2=c^2;
Step-by-step explanation:
42^2+78^2=(6x-1+10x+5)^2
Answer:
3.5
Step-by-step explanation:
Triangles always equal to 180
42 + 78 + 16x + 4 = 180
124 + 16x = 180
56 = 16x
3.5 = x
What is the value of g?
−5+7g=3g+9
A.) g=−1
B.) g = 1
C.) g=125
D.) g=312
Answer:
The answer is D
Step-by-step explanation:
Give the other person brainlest
Answer:
d
Step-by-step explanation:
i took the quiz
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
How would you find x?
Answer:
A
Step-by-step explanation:
x=7
8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2
Answer:
y= 1 1/2x-1/2
Step-by-step explanation:
Follow the directions to solve the system of equations by elimination. 8x + 7y = 39 4x – 14y = –68 Multiply the first equation to enable the elimination of the y-term. Add the equations to eliminate the y-terms. Solve the new equation for the x-value. Substitute the x-value back into either original equation to find the y-value. Check the solution. The solution to the system of equations is (, ).
Answer:
1/2,5
Step-by-step explanation:
Answer:
1/2 5
Step-by-step explanation:
just got it right on edge
Nancy has $200 and spends $10 each week. Which function rule describes the situation?
Answer:
f(d) = 200 – 10d
Step-by-step explanation:
I just looked it up sorry if its wrong lol
Answer:
f(d)=200-10d
Step-by-step explanation:
Because she is spending money every week, That means he money is decreasing.
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
plzzz help answer tyhese
The slope is m=2 in the first picture. Can be done by rise/run.
The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.
What is 20% less than 18.5?
Answer:
15.5
Step-by-step explanation:
Answer:
14.8
Step-by-step explanation:
20% less than 18.5 is 14.8
which dot thing do i put?
Answer:
arrow to the right no filled in dot
Step-by-step explanation:
the (>) shows you which direction the thing is going
in this situation you just have to simplify the problem
4x+2=10
-2. -2
4x=8
x=2
x>2
Answer:
You would put it on 10 and use the arrow pointing the right with a open dot. (The dot should not be filled in and looks like a bubble.)
Step-by-step explanation:
help! find domains! algebra!
find domains of
2(x-2) +4
2*-(x-2) + 4
i will give brainliest to a correct answer with explaination!
Answer:
The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4
Step-by-step explanation:
4. You have $40 in your wallet, but you do not want to spend all of it. You want to have at least some money left. You find a shirt for $5 and buy it. What is the amount of money (m) you have left to spend?
OPTIONS (MULTIPLE CHOICES) ARE IN THE COMMENTS
Answer:
B
Step-by-step explanation:
On a test that has a normal distribution, a score of 41 falls three standard deviations below the mean, and a score of 73 falls one standard deviation above the mean. Determine the mean of this test.
Answer:
The mean of the test is 65
Step-by-step explanation:
Let the mean be x and SD be y
3 SD BELOW the mean means that we are taking away 3 SD FROM the mean
Mathematically, we have that as;
x - 3y = 41 •••••(i)
73 is 1 SD above mean
Mathematically;
x + y = 73 ••••••••(ii)
So let us solve both equations simultaneously
Simply multiply equation ii by 3 then add to i
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65
Answer:
its actually 35
Step-by-step explanation:
Simplify the expression 3.8 - 5.1n - 4n + 5
Answer:
8.8-9.1n
Step-by-step explanation:
Add 3.8+5 together to get 8.8, then add -5.1n and -4n to get -9.1n.
help me pls it's important
Answer:
50%?
Step-by-step explanation:
Answer:
55.5%
Step-by-step explanation:
Decrease is negative so It maybe - 55.5%
Describe why a negative times a negative equals a positive in your own words
Answer:
When you multiply a negative by a negative you get a positive, because the negative signs cancel each other.
I need help plzzzzzzzzz
please help :,( .....
Answer:
there adding one to the thing each time it was at first 10 then 11 then 12 then 13 so there adding one each time so next time its 14
Step-by-step explanation:
what’s the difference between point A (3,4) and B (-1,4) on a coordinate plane?
Answer:
the difference between them is letter b would be on the left side in the negative and a is in the positive
Step-by-step explanation:
hoped this helped lmk if it did
Use the table that shows popular sports car
colors in North America.
a. How many times more respondents chose silver than red?
Round to the nearest tenth if necessary.
the answer is 2.2 just divide
Please help me with this! I will appreciate the help :)
Answer:
D
Step-by-step explanation:
I'm pretty sure it's D
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-3x^2-6
y=−3x
2
−6
yall help im drowning in work. 19 = 4a − 12
Answer:
a=7.75
Step-by-step explanation:
19 = 4a − 12. 19+12=31. 31/4=7.75
Answer:
7.75
Step-by-step explanation:
19 = 4a - 12
add 12 to both sides
31 = 4a
divide by 4 to isolate the variable
7.75 = a
