Answer:
The rock takes 4.18 seconds to hit the ground
Step-by-step explanation:
Function Model
The height of a rock h, after t seconds, can be modeled by the polynomial function:
[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]
When the rock hits the ground, the height is 0, thus we need to find the value of t such as:
[tex]-4.9t^2+20t+2=0[/tex]
A quadratic equation can be expressed as:
[tex]at^2+bt+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The values for the given equation are:
a=-4.9, b=20, c=2
Applying the formula:
[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]
[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]
[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]
There are two possible solutions:
[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]
[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]
Since t > 0, the only solution is t=4.19 seconds
The rock takes 4.18 seconds to hit the ground
Shelia has a box shaped like a right rectangle prism. She wants to cover the entire box with paper.
What is the area of space that will be needed to be covered?
A. 150 in
B.215 in
C.126 in
D. 300 in
ILL GIVE BRAINLEST
Can someone plz explain how to find the slope in a graph. I don't care if yall pick different numbers i just need to understand to find the slope. I learned this last year, but eng is making me learn it again this year, and i forgot how to find stuff. And im too dumb to know how to do it.
The slope equals the rise divided by the run: Slope =riserun Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it.
hope this help!
what is the answer for 2 (a-b)-(b-a)
Answer:
3a - 3b
Step-by-step explanation:
Given
2(a - b) - (b - a)
Distribute the first parenthesis by 2 and the second by - 1
= 2a - 2b - b + a ← collect like terms
= 3a - 3b
Answer:
[tex]3a-3b[/tex]
Step-by-step explanation:
[tex]2(a-b)-(b-a)=2(a-b)-b+a=2a-2b-b+a=3a-3b[/tex]
What value of "x" makes this equation true?
Answer:
X=-43
Step-by-step explanation:
The population of pine bluff is 6791 and is decreasing at a rate of 7 per year.Write the linear equation that models this situation.
Answer:
y=15x+10
Step-by-step explanation:
The linear equation that models the situation is y = 6791 - 7x.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept
Given that, the population of pine bluff is 6791 and decreasing at a rate of 7 per year.
The population after x year is:
6791 - 7x
Now, if the population after x year is represented by y, then the equation is:
y = 6791- 7x
Hence, the linear equation that models the situation is y = 6791 - 7x.
To learn more about the slope-intercept form of a line, click here:
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a piano instructor examined student progress.she noticed that when students spend less time playing video games,their memorization ability does not tend to change . what can she conclude
A.there is no correlation
B.there is a correlation between amount of time spent playing video games and memorization ability.there is probably also causation.this is because there is an increase in memorization ability with a decrease in the amount of time spent playing video games.
C.there is a correlation between amount of time spent playing video games and memorization ability.there may or may not be causation.further studies would have to be done to determine this
Answer:
There is a correlation between amount of time spent playing video games and memorization ability. There may or may not be causation. Further studies would have to be done to determine this.
Step-by-step explanation:
A piano instructor examined student progress. She noticed that when students spend less time playing video games, their memorization ability tends to increase. What can she conclude?
There is a correlation between amount of time spent playing video games and memorization ability. There may or may not be causation. Further studies would have to be done to determine this.
The piano instructor observes changes in the number of video games
played and its effects on the memorization ability.
What she can conclude is; A. There is no correlationReasons:
The aim of the experiment is to check if there is a correlation between the
time students spend playing video games and their memorization ability.
The observation made following a reduction in the time the student spend
playing video games and their memorization ability is that there is no
change in the memorization ability of student following a change in the
time spent playing video games.
The conclusion that can be made is that there is no relationship between
the time the student spends playing video games and their memorization
ability.
The time spent playing video game and memorization are not correlated.
Therefore, the correct option is; A. there is no correlationLearn more about correlation here:
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A mattress that regularly sells for $325 was discounted by 10% off How much was the discount?
Answer:
$32.50 dollars in savings.
Step-by-step explanation:
divide 10 by 325
What is KN + IK?
G H I J K L M N O
The addition of KN and IK is 1.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have been given the number line of G H I J K L M N O
We need to find the addition; KN + IK
KN = 3
IK = -2
Then KN + IK = 3 - 2
KN + IK = 1
Therefore, the addition of KN and IK is 1.
Learn more about addition, please click the link below;
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The GFC of 16 and 24 is ___.
Numerical answers expected!
Answer:
8
Step-by-step explanation:
The greatest common factor of 16 and 24 is 8 because 8 is the highest number that divides into the two
:) Hope this helped
Answer: the answer is 48
Step-by-step explanation:48
what are the last ones
0.75 cups and 144 teaspoons
Step-by-step explanation:
I'm 99.99% sure I got it right
Frank is painting some fencing. After 1/2 hour, he has painted 3 1/4 feet of fencing. What is the rate, in feet per hour, at which she is painting? Express your answer as a mixed number.
Answer:
6.5/1 = 6 1/2 as a mixed number
Step-by-step explanation:
3.25/0.5 - he paints 3.25 feet of fencing in 30 mins
so in an hour he paints 6.5 feet
6.5/1
find the sine for angle C
A. 12/13
D. 13/5
Answer:
I think A
Step-by-step explanation:
If I am wrong I am sorry. Have a good day! :)
A store has 7 blue chairs for $127.75 or 4 red chairs for $73.52. Which color chair has a higher cost per chair?
Answer:
Red
Step-by-step explanation:
Blue: $127.75 ÷ 7 = $18.25
Red: $73.52 ÷ 4 = $18.38
Blue's cost per chair: $18.25
Red's cost per chair: $18.38
Some helppppp!!!!! I’m having trouble
24g^3 + 10 +7g^5 - g^2 in standard form
Answer:
7g^5+24g^3-g^2+10
Step-by-step explanation:
(2+2+2+2+2) 90^5 x 50 divided by 100 ..
Answer: 5000000000..........
Electron rescued 5 dogs and 3 cats this week.
If this happens every week for 6 weeks, how many animals
will Electron rescue?
Answer:
48
Step-by-step explanation:
5+3 multiplied by 6 weeks is 48
Welp third try since no one answered mine again
(Will give Brainliest)
E= 16
Step-by-step explanation:
councluations
Math help please! - ( 3/5 )
Answer:
a) 5x+6
Step-by-step explanation:
distribution property
then simplify
6p - 18 = pr + t . Solve fort
Answer:
T= 4p-18-pr
Step-by-step explanation:
the sum of 2 number is 64,twice the large number plus five times the smaller number is 20 find the 2 numbers
Answer:
The two numbers are: - 36 and 100
Step-by-step explanation:
let the smaller number = x, let the larger number = y
then...
x + y = 64
5x + 2y = 20
use substitution: y = (64 - x)
5x + 2(64 - x) = 20
3x = 20 - 128 = - 108
x = - 36
So the two numbers are: - 36 and 100
Tell me If I'm wrong
. will give 10
points and wat not. Add these fractions to find the perimeter of the rectangle above. *hint...don't forget there are 4 sides. *
0.6x-0.1=0.5x+2
The solution set is {_}
PLEASE PLEASE PLEASE EXPLAIN HOW
Answer:
21
Step-by-step explanation:
Step 1:
0.6x - 0.1 = 0.5x + 2 Equation
Step 2:
0.1x - 0.1 = 2 Subtract 0.5x on both sides
Step 3:
0.1x = 2.1 Add 0.1 on both sides
Step 4:
x = 2.1 ÷ 0.1 Divide
Ansewr:
x = 21
Hope This Helps :)
Use algebra titles to solve 3x = 3.
Answer:
x=1
Step-by-step explanation:
if 3x=3 divide both sides by 3 to get x=3
Answer:
1
Step-by-step explanation:
it tells you
what is the unit rate of 20 pens for 1.60 and 25 pens for 2,25
Answer:
The 20 pens for 1.60 is better because the unit rate is cheaper
Step-by-step explanation:
Answer:
20/1.60=12.5
25/2.25=11.1
Step-by-step explanation:
The parents club buys 12 cartons of pretzels to sell as refreshments at a soccer game. There are 75 bags of pretzels in one carton. How many bags of pretzels to the parents have?
is 7 1/2 a rational number
Answer: Yes
Step-by-step explanation:
Any number that can be written as a fraction, or in other words the ratio between two numbers, is a rational number. It is also a real number as rational numbers are a sub-set of the collection of real numbers
5. Alani paid $8.50 to get in the movies. Before she left home her parents
gave her $20 to spend. If she bought candy that cost $3 each, how many
pieces of candy can she buy without going over the $20?
Answer:
3 peices
Step-by-step explanation:
Answer:
she can buy 3 pieces of candy
Step-by-step explanation:
1. subtract the price of the ticket from $20
20 - 8.5 = 11.5
2. she has $11.50 left. divide that by the price of a piece of candy
11.5 / 3 = 3.83
she cannot buy 0.83 of a piece of candy, so you round down to the nearest whole number, which is 3.
Translate the sentence into an inequality.
the difference of y and 5 is less then or equal to -26
Answer:
[tex]y-5\leq 26[/tex]
Step-by-step explanation:
The difference means to subtract so y-5 less than equal to -26
Sally's soccer team played 25
games and won 17 of them.
What percent did the team LOSE?
Step-By-Step explanation please, I need to get this finished by tonight at 11:59 p.m!
