A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?
The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.
Given the following data:
Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]To calculate the velocity of the ball in ft/sec, when t = 1 second:
Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.
Velocity = s'(t)
Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]
[tex]Velocity = -32t + 20[/tex]
Substituting the value of time (t), we have:
[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]
Velocity = -12 ft/sec
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5 3/4 as an improper fraction
Answer:
23/4
Step-by-step explanation:
Answer:
A mixed number is an addition of its whole and fractional parts.
[tex]5 \frac{3}{4} [/tex]
Add:
[tex]5 \: and \: \frac{3}{4} [/tex]
To write 5 as a fraction with a common denominator, multiply by
[tex] \frac{4}{4} [/tex]
Combine:
[tex]5 \: and \: \frac{4}{4} [/tex]
Combine the numerators over the common denominator.
[tex] \frac{5.4 + 3}{4} [/tex]
Simplify the numerator.
Multiply 5 by 4.
Add 20 and 3.
[tex] \frac{23}{4} [/tex]
Step-by-step explanation:
Thanks!!!!!!
The perimeter of a rectangular window is 264 cm.
If the width of the window is 56 cm, what is its length?
Answer:
length = 76 cm
Step-by-step explanation:
The perimeter = (2 × width) + (2 × length)
264 = (2×56) + (2 × length)
264 = 112 + (2 × length)
264 - 112 = 2 × length
152 = 2 × length
152/2 = length
76 = length
length = 76 cm
solve pls Brainliest
Answer:
25
Step-by-step explanation:
155-180=25 degrees
Answer:
x = 25°
Step-by-step explanation:
At the bus station, buses depart a rate if 3 every 10 minutes. At the rate, how many buses would you expect to depart in one one hour?
A. 6
B. 15
C. 18
D. 30
Answer:
C.18
Step-by-step explanation:
at the rate 18 buses would have departed
Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.
Find the width of the picture frame. Show all work.
Answer:Because
Step-by-step explanation:
Ima teacher
Calvert Math assinment
Answer:
I dont understand ur question
A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?
Answer:
12 pounds
Step-by-step explanation:
gallon equals 4 quarts
1.5*4 equals 6
6 quarts times 2 pounds =2
Please answer this
Hope you get along
I report What to answer
What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.
Which of the following are remote interior angles of angle 1? Check all that apply
A. <5
B. <2
C. <3
D. <1
E. <4
F. <6
Answer:
it will be 4 because it can't share it's vertex ✌
Which of the following satisfies 3x+1=4(mod9)
Answer:
X=1
Step-by-step explanation:
3x+1=4
3x=4-1
3x=3
x=1
What two numbers multiply to equal 20 but when added equal 12
Answer:
Two and ten.
Step-by-step explanation:
Answer:
2 and 10
Step-by-step explanation:
2 +10 = 12
And 2×10 = 20
help for brainliest and good luck
18 is the correct answer
What number is 28% of 45?
Answer:
12.6
Step-by-step explanation:
Hope it helps Brooo
Answer: 12.6
Step-by-step explanation:
28% × 45 = 12.6 => Divide 12.6 by 45And see if we get as a result: 28%
I hope this helps<33
Does the point (–3, 4) satisfy the equation y = –2x + 5? Yes Or No
Answer:
No
Step-by-step explanation:
y = -2x + 5
4 = -2(-3) + 5 - Substitute both x and y
4 = 6 + 5 - Simplify
4 ≠ 11
Hence, no, (-3, 4) doesn't statify the equation y = -2x + 5
Bro this my 10th time asking this pls. Someone help me giving brainlist :(
What is the measure of <1
1. 80
2. 40
3. 160
2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The numbers 7. 11, 12, 13, 14, 18, 21, 23, 27 and 29 are written on separate cards, and the cards are placed on a table with the numbers facing
down.
The probability of picking a card with an even number is?
Answer:
Answer=3/10
Step-by-step explanation:
even numbers=3
total cards=10
P=number of possible outcomes/total outcomes
=3/10
Answer:
you have a 3/10 probability of geting a even number bc
Step-by-step explanation:
there are ten numbers shown in the question and there are three even numbers out of ten so that is how you get you anewer
VWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
Cookies are on sale! Today each cookie costs $0.75 less than the normal price, Right now if you buy 7 of
them it will only cost you $2.80
Write an equation to determine the normal price of each cookie (c),
Find the normal price of each cookie,
Answer:
2.80$ dived by 7 to get 40 cents each on sale. add 75 sents to each cookie. 40 plus 75 in cents. your left with 1.15$ per cookie. 1.15 times 7 is 8.05
Step-by-step explanation:
Answer:
The normal price of each cookie is n = c = $1.15.
Step-by-step explanation:
Represent the normal cookie price by n.
Then the sale price today is n - $0.75 each, and so 7 cookies will cost you 7(n - $0.75), or $2.80, or, as an equation, 7(n - $0.75), or $2.80.
We simplify this equation by dividing both sides by 7, which results in:
n - $0.75n = $0.40.
Combining like terms, we get
n = $1.15
The normal price of each cookie is n = c = $1.15.
Jenna buys an item with a normal price of $70, and uses a 40% off coupon.
Answer:
Jenna paid $42.00
Step-by-step explanation:
$70-40%=28.00
70-28=42
Help me please help me help please
Answer:
4
Step-by-step explanation:
-4/-1 = 4
Can Pi be written as a fraction?
Answer:
no
Step-by-step explanation:
1. Pi is an irrational number, and irrational numbers CANNOT be written as a fraction. Pi is a non-repeating, non-terminating decimal number.
2. While 22/7 and 3.14 is often used as a value for pi, these are just approximations, so they're not completely exact.
HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.
Answer:
0.731353701619170483287543608275622403378...
Step-by-step explanation:
cos((43 π)/180)
UwU
It's verified you can trust
0.7315Is what you needed
Hi please help me i need it
Answer:
for perimeter, you add all of the sides except the height which is 19. It's means that you add all of the numbers except 19
Needs to show work.
1. Refer to the equation 2x − 6y = 12.
(a) Write the equation in Slope Intercept Form.
Answer:
y = 1/3x - 2
Step-by-step explanation:
2x − 6y = 12
-6y = -2x + 12
y = 1/3x - 2
I will give Brainliest :)
Answer:
Step-by-step explanation:
What’s a reasonable domain for V(x)=x(11-2x)(17-2x)
Answer:
(-∞ , ∞) -∞ < x < ∞
Step-by-step explanation:
function has no domain constraint
The domain of the expression is all real numbers except where the expression is undefined.
The given function is v(x)=x(11-2x)(17-2x).
What is domain and range of the function?The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:
Domain = the set of all x-coordinates = {1, 2, 3, 4}
Range = the set of all y-coordinates = {2, 3}
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x∈ R}
Therefore, the domain of the expression is all real numbers except where the expression is undefined.
To learn more about the domain and range visit:
brainly.com/question/28135761.
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GIVING BRAINLIEST AND 20 points!
Please answer this question I will give you brainliest if you answer
WITH A STEP BY STEP explanation
Sorry for the caps but just want to make it clear if u want brainliest you gatta do that
Answer:
The answer is 27
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(3y+6+3)=196−16
(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)
6y+12+6=196+−16
(6y)+(12+6)=(196+−16)(Combine Like Terms)
6y+18=180
6y+18=180
Step 2: Subtract 18 from both sides.
6y+18−18=180−18
6y=162
Step 3: Divide both sides by 6.
6y
/6
=
162
/6
y=27
The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40
Answer:
C
Step-by-step explanation: