Answer:
The ball reaches its maximum height at 2.5 seconds
The maximum height is 100 feet
Step-by-step explanation:
Maximum Value of Functions
We use the derivative of a function to find its maximum or minimum value over a given interval.
Given a function y=f(x), the first derivative criterion establishes if x=a is such that:
f'(a)=0, and f''(a) < 0 then x=a is a maximum of f.
The height h in feet of a ball after t seconds is:
[tex]h(t)=-16t^2+80t[/tex]
Find the first derivative:
[tex]h'(t)=-32t+80[/tex]
Equate to 0:
[tex]-32t+80=0[/tex]
Subtract 80:
[tex]-32t=-80[/tex]
Divide by -32:
[tex]t = -80 / (-32) = 2.5[/tex]
t=2.5 seconds
Find the second derivative:
h''(t)=-32
Since h''(t) is always negative, then
The ball reaches its maximum height at 2.5 seconds
To find the value of the maximum height, substitute t=2.5 into the function:
[tex]h(2.5)=-16(2.5)^2+80*2.5=-100+200 = 100[/tex]
The maximum height is 100 feet
How many more times larger is 8,000 than 8?
Answer:
8,000 is 1,000 times bigger than 8
Answer:
1,000 times bigger because you have to add the 0's in it.
Step-by-step explanation:
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
Please help! What is the slope of the line graphed on the coordinate plane?
Answer:
The slope is 3/4
Step-by-step explanation:
You can Y2-Y1/X2-X1 to find the answer to this question
Since the points are (-2,3) and (2,6) it will be..
6-3/2+2 ** the 2 becomes a plus in the denominator because negative and negative is positive
3/4 is the slope
Solve for b: 4b + 8/ -2 = 10
Answer:
The answer is b= 7/2
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
4b-4+4=10+4
4b=14
4b/4 =14/4
B=7/2
I need you guys to answer all of this sorry please help me before 11:59 I beg
m<1
m<2
m<3
m<5
m<6
m<7
m<8
Here are the choices you have for each one (choose one)
106
74
74
Answer:
M<1 = 106
M<2 = 74
M<3 = 106
M<4 = 74
M<5 = 106
M<6 = 74
M<7 = 106
M<8 = 74
Step-by-step explanation:
How many times does 2/3 go into 7 1/3
Answer:
11
Step-by-step explanation:
7 1/3 ÷ 2/3 = 11
(please give brainliest)
Answer: 1/11
Explanation:
KCF
(keep, change, flip)
3t+3/5 =6 solve for t
Answer:
t=9/5
Step-by-step explanation:
what goes into 125 3 times
Answer:
41r6
Step-by-step explanation:
you dived 125 by 3
Answer:
Loading Answer...
Step-by-step explanation:
Loading Explanation...
PLEASE HELP! Will give brailiest to the best answer!!!
What was a contributing factor to the growth of ranching during the Republic of Texas era?
F. the wild cattle left from Spanish herds
H. the increase in the number of slaves in Texas
G. the growth of railroads
J. the introduction of barbed wire
Answer:
H. the increase in the number of slaves in Texas
Is it (sometimes true/never true) that all three altitudes of a triangle fall outside the triangle?
never true is always 180
How to Rewrite 8 + 36 as a product of their GCF and the sum of two factors
Answer:
4 (2 + 9)
Step-by-step explanation:
Given expression:
8 + 36
The greatest common factor is the highest number that divides a number:
8 and 36 ;
Factors of 8 : 1,2,4, 8
36 : 1, 2, 3, 4, 9, 18, 36
The highest common factor is 4;
8 + 36 = 4 (2 + 9)
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
c and e are expressions.
b is an equation.
a and d are inequalities.
Expressions are the only ones WITHOUT an 'equals', 'greater', or 'less than'.
( = , > ,. < )
HELP ASAP. ‼️‼️‼️‼️‼️
Answer:
Nice Shoes..
Step-by-step explanation:
The answer is 16 to the 4th power for #1 89c for #2 and 29f for the third
what is 111 × 111 ÷ 14
Answer:
880.071428571
Step-by-step explanation:
You could use a calculator btw but its ok happy to help :D
What is de DOMAIN of {(-2, 6) (4 , 9) (5, 12)} *
{6,9,12)
{-2,4,5)
6 sy s 12
-25x55
PLEASE HELP NEED ASAP
How many grams are equivalent to 75 kilograms?
Answer:
75 * 1000 = 75000
75000 gram
Step-by-step explanation:
1 kg = 1000g, so the answer is simple (kg * 1000 = g)
❗️Help needed please ❗️
Answer:
prove it by S.S.S axiom bro
Step-by-step explanation:
statement reason
1.in triangle ADB and ADC
a. AB=AC a.given
b.BD=CD b. radii of same circle
c. AD=AD c. common side
2. ∵triangle ADB is congurent to 2. by S.S.S axiom
ADC
Answer:
AD cuts BC at I => I is the midpoint of BC => BI = CI
ΔAIB and ΔAIC have:
AB = AC
BI = CI
m∠ABC = m∠ACB ( because ΔABC is a isosceles triangle)
=> ΔAIB ≅ ΔAIC (sas)
=> m∠BAD = m∠CAD
ΔADB and ΔADC have:
m∠BAD = m∠CAD
AB = AC
AD is the common edge
=> ΔADB ≅ ΔADC (sas)
Step-by-step explanation:
Find the y-intercept of the following equation. Simplify your answer. y = 8x + 10 y-intercept=
Answer:
10
Step-by-step explanation:
the temperature in an experiment is increased at a constant rate over a period of time until the temperature reaches 0 degrees celsius. the equation y=5/2x-70 gives the temperature y in degrees celsius x hours after the experiment begins. Find and interpret the x- and y- intercepts.
Answer:
x = 28 (So it takes 28 hours for the temperature to reach 0°C.)
y = -70 (So the temperature when the experiment begins is −70°C.)
Step-by-step explanation:
To find the the x value, you remove the y value or replace it with 0.
0 = 5/2x - 70
Next you move the variable.
70 (2/5) = x (multiply 70 by 2 to get 140 and divide that by 5)
And now you simplify to get:
28
To find the y value, you remove the x value or replace it with 0.
y = 0 - 70
And now you simplify to get:
-70
x = 28
y = -70
x = 28 (So it takes 28 hours for the temperature to reach 0°C.)
y = -70 (So the temperature when the experiment begins is −70°C.)
) If a deposit or withdrawal will change an account balance by more
than $1,000, a manager must approve it. Which of these deposits and
withdrawals need manager approval? Choose ALL the correct answers.
-$875
-$1,600
$1,304
-$2,505
$1,001
$451
DONE
ID
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
What are the deposits and withdrawals?
A deposit is a money put into a bank account for safekeeping until you need it. A withdrawal is a money that's taken out of your account.
The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
The deposits and withdrawals that do not require manager approval are:
-$875 (since it changes the balance by less than $1,000)
$1,304 (since it changes the balance by less than $1,000)
$1,001 (since it changes the balance by less than $1,000)
$451 (since it changes the balance by less than $1,000)
Therefore, The deposits and withdrawals that require manager approval are:
-$1,600 (since it changes the balance by more than $1,000)
-$2,505 (since it changes the balance by more than $1,000)
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Nadia is a stockbroker. earns 13% commission each week. Last week, sold $7,000 worth of stocks. How much did make last week in commission? If averages that same amount each week, how much did make in commission in 2011?
Answer:
a). Nadia made a total of $825 last week in commission sales
b). The total amount Nadia in commission in 2011=$42,900
Step-by-step explanation: Step 1
Express the amount in commission she earns from her sales as follows;
C=S×r
where;
C=commission earned
S=total value of stock sales
r=commission rate
In our case;
C=unknown
S=$7,500
r=11%=11/100=0.11
replacing;
C=11% of 7,500
C=(11/100)×7,500
C=0.11×7,500=825
Nadia made a total of $825 last week in commission sales
b). To express the total amount she made in 2011, we derive the formula below;
Total amount (2011)=Average weekly commission×number of weeks in 2011
where;
Average weekly commission=$825
number of weeks in 2011=52
replacing;
Total amount (2011)=(825×52)=42,900
The total amount Nadia in commission in 2011=$42,900
Answer:
jjhjjh
Step-by-step explanation:
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An album is 20cm long and 14 cm wide. Sal uses some lace to make an edge around the cover of the album. She has 12 cm of lace left over afterwards. How long was her piece of lace?
Matt runs in the park every day at the average rate of c meters per minute.
b:
If Matt runs triple his regular speed for 20 minutes, what distance would he cover?
Answer: 60c
Step-by-step explanation: 3c times 20. This is the right answer I hope it helps <3
Please help me solve for x
Answer:
x = 4
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
7x - 4 = 24 ( add 4 to both sides )
7x = 28 ( divide both sides by 7 )
x = 4
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
Answer:
Step-by-step explanation:
y + 2 = 12(x - 3)
y + 2 = 12x - 36
y =12x - 38
The required equation of the line passing through (3, -2) and parallel to the line represented by y = 12x - 2 is y = 12x - 38.
What is Slope?Slope is usually denoted by m.
Slope is defined as the change in the value of the y coordinates with respect to the change in the value of x coordinates.
Equation of a line in slope intercept form is y = mx + c where m is the slope and c is the y-intercept.
y-intercept is the y coordinate when x coordinate equals zero.
It is given that the required line is parallel to y = 12x - 2.
Comparing with the slope intercept form of the line, the slope of y = 12x - 2 is 12.
Slope of two parallel lines are equal.
So the slope of the required line = 12
It is also given that required line passes through the point (x, y) = (3, -2).
Substituting these values,
-2 = (12 × 3) + c
-2 = 36 + c
c = -2 - 36
c = -38
So the required equation is found by substituting m = 12 and c = -38.
y = 12x - 38
Hence the equation of the line passing through (3, -2) and parallel to the line y = 12x - 2 is y = 12x - 38.
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PLEASE HELP 4. The Buff City Soaps in Arlington is counting how many soaps and bath bombs they sell in a given day. In total, they sold 33 bath products. The number of soaps they sold was one more than three times the number of bath bombs. WRITE THE SYSTEM OF EQUATIONS.
Answer:
33 = x + (3x + 1)
x = bath bombs
So 3x is three times as many bath bombs, then the plus one makes it so that the soaps sold is more than three times the amount of bath bombs sold
What is the third term of the sequence?
A
25
B
50
C. 35
D
20
Answer:
C
Step-by-step explanation:
35 is the third term of the sequence
Have a great day
The total operating cost to run the organic strawberry farm varies directly with its number of acres. What is the constant of variation in this scenario?
Answer: 16 acres
Step-by-step explanation: we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
Let
x ----> the number of acres
y ---> total operating costs
we have the ordered pair (20,551,520)
For x=20 acres, y=$551,520
Find the value of the constant of proportionality k
substitute the values of x and y
The linear equation is equal to
Find out how many acres are on a farm with a total operating cost of $441,216
so
For y=$441,216
substitute in the linear equation the value of y and solve for x
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
x ----> the number of acres
y ---> total operating costs
we have the ordered pair (20,551,520)
For x=20 acres, y=$551,520
Find the value of the constant of proportionality k
substitute the values of x and y
The linear equation is equal to
Find out how many acres are on a farm with a total operating cost of $441,216
so
For y=$441,216
substitute in the linear equation the value of y and solve for x
Step-by-step explanation:
