Justin throw a football to his friend and the height of the football in meters above the ground after T seconds is modeled by f (t)=-4.9^2 + 30t+13 when did the football hit the ground
The football hits the ground at 6.53 seconds
The height function of the football is given as:
[tex]f(t) = -4.9t^2 + 30t + 13[/tex]
When the football hits the ground, f(t) = 0 i.e. the height of the football is 0.
So, we have:
[tex]-4.9t^2 + 30t + 13 = 0[/tex]
Using a calculator, we have:
[tex]t = \{-0.41, 6.53\}[/tex]
The value of time (i.e. t) cannot be negative.
So, we have:
[tex]t = 6.53[/tex]
Hence, the football hits the ground at 6.53 seconds
Read more about quadratic functions at:
https://brainly.com/question/11441586
The question is in the png
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
what two numbers is the square root of 23 between?
Answer:
23 lies between. 16 and 25
Solve the system by substitution.
5x + 9y = 21
-6y = x
What is an equation of the line that passes through the points (--8, 0) and (8, 4)?
Answer:
equation of a line =(y2-y1)/(x2-x1)=(4-0)/(8--8)=4/16=1/2 is your answer.
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4W = 25
Step-by-step explanation:
The hanger is balanced, so each side must have the same quantity.
There are 4W on one side and 25 on the other. That means that 4W and 25 must equal each other in order to keep the hanger balanced.
Answer:
We can see on one side there is 4 w's and on the other side is a 25, because the hanger is balanced these must be equal:
We can form the equation:
4w = 25
w = 6.25
If u need anymore help understanding let me know :)
hope this helps :0
Step-by-step explanation:
Isaac has a points card for a movie theater. He receives 45 rewards points just for signing up. He earns 11.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket.
Answer: 10 visit
Step-by-step explanation:
Given
45 Points earned by signing up
11.5 points earned for each visit to the theatre
160 points are needed for a movie ticket
Suppose, after x visit he gets enough points to buy a movie ticket
[tex]\therefore 160=45+11.5x\\\Rightarrow 115=11.5x\\\Rightarrow x=10[/tex]
So, after 10th visit, he earns a movie ticket
Pleasseee I’ll give BRAINLIEST
Answer:
It’s the third option
Step-by-step explanation:
Cuz 4^2 - 2^2 equals the third option
A person invested $140 in an account growing at a rate allowing the money to double
every 15 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $280?
Answer: 15 years
Step-by-step explanation:
$140 doubled is $280 which happens every 15 years
4.364923697 in radical form
Answer:
i hope u can round other wise its this 4 3649237 / 10000000
Step-by-step explanation:
the dash is the fraction symbol
no hosting link just a simple answer to my question. please help only if you want a brainliest thank you.
Answer: 5
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
Answer:
3
Step-by-step explanation:
We can find the slope of the given line in this two way:
1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3
2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x
3y = -x-15
y = -1/3x - 5
Also in this case we have -1/3
Two perpendicular lines have the the product of the their slope that is -1
So the slope that we are finding is 3
In fact = 3 x -1/3 = -1
Given that the triangles are similar find the scale factor of ABC to ACD and the value of X.
SCALE FACTOR ABE TO ACD
Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75
x= 24[tex]\frac{1}{2}[/tex] or 24.5
Step-by-step explanation:
12+16=28
12+9=21
x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]
x= 14(17.75)=24.5
ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]
ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]
Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answer:
8) 50°, 50°, 130°, 130°10) 120°Step-by-step explanation:
Ex 8Adjacent interior angles of a parallelogram are supplementary
Let the small angle is x, the other angle is:
2x + 30°The sum of two angles is 180°
x + 2x + 30° = 180°3x = 150°x = 50°The angles are 50°, 50°, 130°, 130°
Ex 10Sum of interior angles of a pentagon is:
S = 180°(5 - 2) = 540°Two of the angles are supplementary, so they sum to 180°
The sum of the remaining 3 angles is:
3x = 540° - 180°3x = 360°x = 120°Each of the congruent angles is 120°
Solve the following quadratic equation for all values of x in simplest form.
(x – 4)^2 – 47 = 32
Answer:
x=4-√79, x=4+√79
Step-by-step explanation:
is this correct For each equation I have to identify the values of a, b, and c that you would substitute into the quadratic formula to solve the equation.
Answer:
yes
Step-by-step explanation:
it is the correct answer good job
can i please have help thank you
Answer:
37
Step-by-step explanation:
10x40 = 400
2(39+42)+ 40 x 4 + 41 + X = 400
162 + 160 + 41 = 400 - X
400 - 363 = X
X= 37
Answer:i dont know sr
Step-by-step explanation:
The Longboat Key town council wants to know if residents are in favor of a traffic camera at the main intersection in town. Drag tiles to match each term to the example it best describes. Each tile may be used only once.
Answer:
Drivers who reside in longboat= Not a Representative Sample
Residents of long boat key= Population
Residents randomly chosen= Representative sample
Step-by-step explanation:
Answer:
Step-by-step explanation:
i don't know
A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A.
B.
C.
D.
Answer:
9.42 cubic inches
Step-by-step explanation:
We are to find the volume of the cone.
The formula is given as:
1/3πr²h
From the question,
Diameter = 3 inches, Radius = D/2 = 3/2
r = 1.5 inches
h = 4 inches
Hence, the volume of the cone =
1/3 × π × 1.5² × 4
= 9.42 cubic inches
Therefore, the filter can hold 9.42 cubic inches of liquid without overflowing.
help me please I'll be doing more
Answer:
Step-by-step explanation:
1. 7 4/11 + 2 6/11 = 9 10/11
2. 5 1/12 + 6 3/12 = 11 4/12 = 11 1/3
3. 8 4/15 + 3 2/15 = 11 6/15 = 11 2/5
4. 6 1/9 + 2 3/9 = 6 4/9
Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.
Answer:
The population mean = sample mean = x`= 67.5
Population standard deviation = 13.369
Sample standard deviation= 4.225
Step-by-step explanation:
AS the population mean is not given we will calculate it from the sample.
The mean of the sampling distribution is equal to the population mean .
The sample mean is calculated by
x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10
x`=675/10= 67.5
The standard deviation of the sample is equal to
u = σ/ √n where σ is the population standard deviation and n is the number of observations.
Calculating the sample mean
s= √∑xi²/n- (∑x/n)²
s= √(45741/10)- (675/10)²
s= 4.2249
σ= u*√n= 4.229 *√10
σ=13.360
IM GIVING BRAINLIEST!!!PLEASE HELP!!!I JUST KNOW ITS NOT A!!!
Answer:
C. In y^2-y=6, 6 should have been subtracted on both sides first.
Step-by-step explanation:
It is a quadratic equation so you subtract the 6 and create
y^2-y-6=0
Then you factor it to:
(y-3)(y+2)=0
The solutions then are:
y-3=0, y=3 and y+2=0, y=-2
{-2,3}
What two numbers multiply to get 3 and add to get 6
Answer:
3
Step-by-step explanation:
An experienced carpenter could build a house in 4 days. How much would he have finished if
he worked for 3 days?
Answer:
Percentage: 75%
Fraction: 3/4
Step-by-step explanation:
(13x-26) (5x+8) PLEASE HELP
Answer: X= 11
Step-by-step explanation: 13x-26 and 5x+8 are Linear Pairs which are supplementary. 13x-26+5x+8 is equal to 18x-18=180. 18x=198 and then X=11
Express the first quantity as a percentage of second quantity $45, $120.
Answer: 37.5%
Step-by-step explanation:
Percentage = Given Quantity/Total Quantity*100
So here, it will be like: 45/120*100
=0.375*100
=37.5%
how do you write length is twice the width as an expression.
Answer:
width=x
length =2x.....
Answer:
l = 2w
Step-by-step explanation:
note:
l = lenght
w = width
so lenght is 2 times width is -
l = 2w
PLEASE ANSWER QUICKLY
Robert's yacht holds 70 passengers. Each hour he stops at the marina to let some passengers off and on. The scatter plot shows how many passengers are on board during each hour of boating
write an equation in slope intercept form for the line that is drawn
use the equation to make a conjure about how many passengers will be on the boat at hour six
Answer:
65 passengers
At hour six, about 54 passengers will be on the boat.
What is the line of best fit?
A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
Sum of X = 15
Sum of Y = 195
Mean X = 3
Mean Y = 39
The sum of squares (SSX) = 10
The sum of products (SP) = 50
Regression Equation = ŷ = bX + a
b = SP/SSX = 50/10 = 5
a = MY - bMX = 39 - (5*3) = 24
ŷ = 5X + 24
When x = 6,
we get ŷ = 5(6) + 24 = 54
Therefore, the approximate number of passengers is 54.
To learn more about the line of the best fit;
https://brainly.com/question/14279419
#SPJ7
Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.
His rent, electricity and labor costs for his store each week is $1850.00.
He sells each cupcake for $5.50.
What is the minimum number of cupcakes needed to make a profit?
337
359
360
5286
Answer:
360
Step-by-step explanation:
What is the smallest perfect square
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation:
Answer:
Answer: 0 is smallest perfect square but if Any number that can be written as a POSITIVE integer to the power of 2. then 1 is the smallest perfect square number.
Step-by-step explanation: