The polynomial - 16t+ vt +s, represents the height (in feet) of an object, where v is the
initial vertical velocity (in feet per second), s, is the initial height of the object (in feet), and t is the time in seconds). Write a
polynomial that represents the height of the object. Then find the height of the object after 1 second
Answers
Answer:
At 1.5 seconds and 2.5 seconds
Step-by-step explanation:
Because this is parabolic motion, the object will reach the height of 68 feet when it's going up AND when it's coming down. In order to find out those times, you set the h on the left side of the equation equal to 68, because h stands for height.
Set that equal to 0 and factor to solve for t:
Using the quadratic formula, we get t = 1.5 and t = 2.5
The height of the object after 1 second is 229 feet.
It is required to find the height of the object after 1 second.
What is polynomial?A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations. sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.
Given:
The polynomial - 16t² + vt+ s, represents the height (in feet) of an object,
where
v is the initial vertical velocity (in feet per second),
s, is the initial height of the object (in feet),
t is the time in seconds.
We are given;
v(o) = 45 ft/s
s(o) = 200 ft
According to given question we have,
Thus, polynomial that represents the height is;
h(t) = -16t² + vt+ s,
After a time of 1 second, height is;
h(1) = -16(1)² + 45*1+ 200
h(1) =-16+45+200
h(1) =229 feet
Therefore, the height of the object after 1 second is 229 feet.
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Related Questions
Sam the jeweler bought 126 beads and 36 strings from a shop. He wants to make a certain
number of necklaces using the same combination of beads and the strings, with no
pieces left over. What is the greatest number of necklaces Sam can make?
Answers
Answer:
n numbers, because we can use variables like l and w to represent the unknown length and width. Many expressions have more than one variable in them. The volume of a box without a lid is given by the formula V = 4x(10−x)2, where x is a length in inches and Rochelle has invested $2500 in a jewelry making kit.
Step-by-step explanation:
PLEASE HELP! GIVING PONTS!
Answers
There is a chowder eating contest in a small New England town. The distribution of the amount of chowder consumed is bell-shaped with mean 32 ounces and variance 64 ounces. If two hundred people participated in the contest, find the following.a. The number of people who consumed between 24 and 40 ounces of chowder.b. The number of people who consumed between 16 and 40 ounces of chowder.
Answers
Answer:
Interval ( 24 ; 40 ) has 136 participants
Interval ( 16 ; 40 ) has 163 participants
Step-by-step explanation:
Normal distribution.
As variance is 64 then standard deviation is σ = 8
And mean μ₀ = 32
We can see that μ₀ ± σ is 32 ± 8
The interval ( 32- 8 ; 32+8 ) is ( 24 ; 40 )
By empirical Rule we know that μ₀ ± σ contains 68% of the population then 200*0,68 = 136
The number of participants between 24 and 40 is 136
By symmetry of these 136 half of them are between 32 and 40 ( 136/2 = 68 ) ( between mean and 40 )
Now in the interval ( 16 ; 40 ) we note that 16 is 32 - 16 = 16 or μ₀ - 2σ
And again by empirical rule μ₀ ± 2σ has 95 % of the population that means 200*0.95 = 190 and by symmetry 190/2 95 are between μ₀ - 2σ, therefore
95 people are between μ₀ - 2σ or between ( 16 ; 32 ) and between ( 32 ; 40 ) there are 68 people then
The interval ( 16 ; 40 ) has 95 + 68 = 163 participants
Cups are sold in packages of 8. Napkins are sold in packages of 6. If you want to purchase the fewest number of cups and the fewest number of napkins so there will be the same of each, how many packages of napkins will there be?
Answers
Carol bought 8 mangoes for N160.00 and sold each one for N25.00.what was his percentage gain?
Answers
Answer:
20%
Step-by-step explanation:
8 × 25 = 200
200 × 20% = 160
The function f is defined by the following rule.
Find f(x) for each x-value in the table.
Answers
Answer:
x y
-2 36
-1 6
0 1
1 1/6
2 1/36
Step-by-step explanation:
Given
[tex]f(x) = (\frac{1}{6})^x[/tex]
Required
Complete the table
When x = -2.
Substitute -2 for
[tex]f(-2) = (\frac{1}{6})^{-2[/tex]
[tex]f(-2) = 1/\frac{1}{36}[/tex]
[tex]f(-2) = 36[/tex]
When x = -1
[tex]f(-1) = (\frac{1}{6})^{-1[/tex]
[tex]f(-1) = 1/\frac{1}{6}[/tex]
[tex]f(-1) = 6[/tex]
When x = 0
[tex]f(0) = \frac{1}{6}^0[/tex]
[tex]f(0) = 1[/tex]
When x = 1
[tex]f(1) = \frac{1}{6}^1[/tex]
[tex]f(1) = \frac{1}{6}[/tex]
When x = 2
[tex]f(2) = \frac{1}{6}^2[/tex]
[tex]f(2) = \frac{1}{36}[/tex]
help hlp hlp hlp pls pls pls pls
Answers
Answer:
10m
Step-by-step explanation:
Hope this helps! Please give me brainliest and tysm!
Answer:
10 m
Step-by-step explanation:
Area of the triangle
=40 m²
height (h) = 8 m
Base (b) = ?
We know
Area of triangle = 1/2 * b * h
40 = 1/2 * b * 8
40 = 4b
b = 10 m
Hope it will help :)
PLEASE ANSWER FAST I HAVE 10 MINUTES LEFT AND ILL GIVE BRAINLIEST IF CORRECT!
Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D has points (negative 1, 1), (3, 1), (3, negative 1), (negative 1, negative 1). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 4, 4), (12, 4), (12, negative 4), (negative 4, negative 4). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 2, 2), (6, 2), (6, negative 2), (negative 2, negative 2). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.25, 0.25), (0.75, 0.25), (0.75, negative 0.25). (negative 0.25, negative 0.25). On a coordinate plane, rectangle A prime B prime C prime D prime has points (negative 0.5, 0.5), (1.5, 0.5), (1.5, negative 0.5), (negative 0.5, negative 0.5).
Answers
Answer:
It would be the first choice, A'B'C'D' with points (-4, 4); (12, 4); (12, -4); and (-4, -4)
Step-by-step explanation:
Each point on rectangle A'B'C'D are 4 times the original distance from the origin as the rectangle ABCD.
Answer:
Ummm the first choice?
Step-by-step explanation:
I guessing and not reading
PLEASE HELP QUICKLY !!!!!!!!!!!!!! I will give brainliest
Answers
t=100 I was not sure about y sowyy
-6x-(-8)=2
step by step
Answers
Equation/Question:
-6x-(-8)=2
Answer/Way I did it:
1. Remove parentheses.
-6x+8=2
2. Subtract 8 from both sides.
-6x=2-8
3. Simplify 2-8 to -6.
-6x=-6
4. Divide both sides by -6.
x=1
-------------
Checking:
Equation/Question:
−6x−(−8)=2
----------------------
1. Let x=1.
−6×1+8=2
2. Simplify -6×1 to −6.
-6+8=2
3. Simplify -6+8 to 2.
2=2
Done by NeighborhoodDealer
pls help me pls help me pls help me
Answers
Step-by-step explanation:
area of triangle = 1/2 × base × height
= 1/2 × 6×4
= 12 cm²
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
thankyou.
I think it’s 12cm but I am not sure sorry dude
02.CI.Pre-
What is the approximate distance between point L (3,5) and point M (9,- 7)?
6.3 units
13.4 units
18.0 units
90.0 units
Answers
13.4 units hope this was helpful
The distance between two given coordinate points is 13.4 units. Therefore, option B is the correct answer.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
The given coordinate points are L (3, 5) and M (9, -7).
Substitute, (x₁, y₁)=(3, 5) and (x₂, y₂)=(9, -7) in distance formula, we get
LM=√(9-3)²+(-7-5)²
= √36+144
= √180
= 13.4 units
Therefore, option B is the correct answer.
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Find the solution to the system of equations
Answers
Answer:
(6,30)
Step-by-step explanation:
This is where the two lines intersect. Also, we can verify our answer by plugging 6 in for x and 30 in for y.
Can someone HELP ME please!!?
Answers
Answer:
Option 1
Step-by-step explanation:
How many terms are in the following expression:
2x3 + 3x2 + 2 - 1
A. 1
B. 4
C. 6
D. 11
Answers
Answer:4
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The numbers are the terms
6 numbers 6 terms
help me out
14 < n - 22
Answers
Answer:
14+22=36
36 is less than n
Step-by-step explanation:
A student is solving the problem x^2 + 10x+ ___ = 16 + ___ by the method of completing the square. What number should the student add to both sides?
Answers
Answer:
I believe it could be any number because:
let y=any number
x^2+10x+y=16+y
x^2+10x+y-y=16+y-y
x^2+10x=16
you can add any number to both side and not change the solution.
The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.
1) First divide both the sides of the equation by the coefficient of x² that is 'a'
2) Add or subtract both the sides of the equation by (b/2)² that is complete the square
3) Solve the resulting equation to find the roots of the equation
For given example,
We have been given a quadratic equation x² + 10x+ ___ = 16 + ___
By comparing given equation with ax² + bx + c = 0,
we have a = 1, b = 10
To complete the square for given quadratic equation we add (b/2)² on both the sides.
⇒ (b/2)² = (10/2)²
⇒ (b/2)² = 5²
⇒ (b/2)² = 25
So, the quadratic equation would be,
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 41
⇒ x + 5 = ±√41
⇒ x = -5 ± √41
So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41
Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
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Maggie runs 1/4 of a mile in 1.3 minutes. Olivia runs 2/3 of a mile in 2.9 minutes. Who runs faster?
Answers
Answer:
Olivia-2.25
Hope I helped
Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually
Answers
Answer:
A 20% decrease I believe
Step-by-step explanation:
So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%
I just learnt this in math today so I hope it helps you and I hope it's correct :>
Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.
Answers
Answer:
they have different answers
Step-by-step explanation:
X - 13 = 4 and 13 - X = 4
for x- 13 = 4
x=4+13=17
x=17
for 13 - x = 4
13-4-x=0
9-x=0
9=x
x=9
1 + 100000 + 100000 + 100000 =
Answers
7-1 Mathematical Literacy and Vocabulary Dilations
The column on the left shows the steps used to graph a dilation. Use the column on the left to answer each question in the column on the right.
Problem Graphing a Dilation.
What are the vertices of the image of ABC for a dilation centered at the origin with a scale factor of n = 2? Graph the image of ABC.
Read the problem. What do you need to find to solve the problem?
Answers
Answer: Coordinates of the vertices of the vertices of the given imagen.
How many solutions does the equation 9 (x - 3) = 9x - 27 have?
Answers
Answer:
Infinity
Step-by-step explanation:
9x -27 = 9x -27
-9x . -9x
-27 = -27 = always true
How were some European Jews able to come to Georgia in the 1930s? Check all that apply.
The US government loosened its restrictions on Jewish immigration.
Officials in the Georgia state government sponsored most immigrants.
Jewish immigrants tried to help family members back in Europe escape.
Private organizations helped Jewish children and teenagers find homes.
American citizens legally agreed to be responsible for Jewish immigrants.
Jewish American activists worked to bring immigrants to the United States.
Answers
Answer:
1 2 and 4
Step-by-step explanation:
Answer:
3,4,5,&6
Step-by-step explanation:
the sum of two numbers is 72 and their difference is 26. find two numbers?
Answers
9514 1404 393
Answer:
23, 49
Step-by-step explanation:
Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...
s + (s+26) = 72
2s = 72 -26
s = (72 -26)/2 = 23
Then the larger number is
s +26 = 49
The two numbers are 23 and 49.
_____
The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)
That is, the two numbers are always half the sum ± half the difference:
72/2 ± 26/2 = {36+13, 36-13} = {49, 23}
How have you seen racism, protest, conflict, dehumanization play out in our current world?
paragraph plz
Answers
Answer:
i have seen a lot of racist people. let me tell you something that happened the other day when i was on here i found this kid posting racist things and calling blacks ugly. and he then started being mean to my friends and every year we celebrate black history month for rights rights and this is a good thing to do cause we all matter.#black lives matter
Step-by-step explanation:
What’s the distance between -1/2 and 5/4 ?
Answers
Answer:
-1.75
Step-by-step explanation:
Answer:
7/4
Step-by-step explanation:
5/4-(-1/2)
5/4+1/2
5/4+2/4
7/4
1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answers
Answer:
0.8888888888
Step-by-step explanation:
that decimal just convert it to a fractoin
Person A buys 12 cupcakes and 3 packs of chips for $16.50. Person B buys 6 cupcakes and 5 packs of chips for $13.50. Find the cost of each item.
Answers
Answer:
A cupcake costs $1 and a pack of chip costs $1.50
Which table represent a linear function. Picture attached and I will mark brainly
Answers
Answer:
Bottom right
Step-by-step explanation:
A linear function is a function that if ploted would be represented by a straight line. The only function out of the following 4 that follows this statement is the bottom right option.
