Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Which ordered pair is on the graph of y = 4x + 3?
Answer:
(-2,-1) (-1,-1) (0,-1) (1,-1) (2,-1)
Step-by-step explanation:
hope that helps bro
A dance teacher surveyed one of her classes about their favorite type of dance. Of those surveyed, 5 favored ballet, 2 favored tap, and 3 favored jazz. Based on these results, predict how many of the teacher's 90 dancers will not favor tap.
Answer:
72 students
Step-by-step explanation:
80% of the students already do not favor tap (8/10)
to get 90 students you multiply by 9.
8x9 is 72.
What’s the slope of the parallel line that passes through (-13, -2) and (14, 13).
Answer: 5/9
Step-by-step explanation:
Slope formula: y2-y1/x2-x1
y2= 13
y1=-2
x2=14
x1=-13
OR
y2=-2
y1=13
x2=-13
x1=14
(You'll get the same answer either way so it doesn't matter which one you choose, I'm gonna go with the first one.)
m=y2-y1/x2-x1
=13-(-2)/14-(-13)
=13+2/14+13
=15/27
=5/9
Hope this helps :D
To join a gym, there is a monthly fee of $12 and a $5 fee per workout class you take. Which of the following functions would show the cost, in dollars, for a month that she takes w workout classes?
C(w) = 12w
C(w) = 5w + 12
C(w) = 12 + 5w
C(w)= 17w
Answer:
[tex]C(w) = 5w + 12[/tex]
[tex]C(w) = 12+5w[/tex]
Step-by-step explanation:
Given information:
- Monthly fee of $12
- $5 fee per workout class
- [tex]w[/tex] represents the workout classes taken for a month
- - - -
With the given information, we can conclude that [tex]C(w)=[/tex] workout fee + monthly fee.
Workout fee = [tex]$5w[/tex]
Monthly fee = [tex]$12[/tex]
∴ [tex]C(w) = 5w + 12[/tex] or [tex]C(w) = 12+5w[/tex] (they are the same)
Hope this helps :)
Somebody told me to take this picture a little bit closer
Answer:
well the slope is...
Step-by-step explanation:
4/3 but i don't know about the equation part
Answer:
y=4/3x+4
Step-by-step explanation:
y=mx+b
hope this is right lol I believe it is correct
find the value of x.
Answer:
x=4
Step-by-step explanation:
2/x:6/12
6x=24
x=4
what is this answer 9x2000
Answer:
18,000
Step-by-step explanation:
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
A window washer cleaned 38 windows in 2 hours. At this rate, how many windows did he clean in 7 hours? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value
Answer:
133 windows
Step-by-step explanation:
It is given that,
A window washer cleaned 38 windows in 2 hours.
We need to find how many windows did he clean in 7 hours.
2 hours = 38 windows
1 hour = 19 windows
For 7 hours, multiply 19 and 7.
7 hours = 19 × 7 windows
= 133 windows
Hence, in 7 hours he can clean 133 window
Look at the image below, i have everything added up but i cant get the corn it says “5 for $1.00” but i need 6 corn on the cob, how do i figure that out?
Answer: They are no directions
Step-by-step explanation:
Find the value of X*
X=
X х
8
12
Answer:
12
Step-by-step explanation:
This is a proportion question.
8/x = 12/(12 + 6)
8/x = 12/18 Reduce the right hand side
8/x = 2/3 Cross multiply
2x = 8*3 Combine the right side
2x = 24 Divide by 2
x = 24/2
x = 12
what perfect squares does the square root of 10 lie between
Answer: 5 and 15
Step-by-step explanation:
Polygon DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?
Answer:
(4,6)
Step-by-step explanation:
What is the solution to the equation 1/4x+2=-5/8x-5
Answer:
X = -8
Step-by-step explanation:
The explanation is in the image.
Sketch a polynomial that has:
-odd degree
negative leading coefficient
f(2) = -3
f(-3) = 0
4 is a zero with multiplicity of 2
Answer:
6 summary is answer and stuff
Which equation is true when the value of x is 3.5 help
Answer:2x-8=1
Step-by-step explanation:
Answer:The answer is 2-8=1
Step-by-step explanation:
4(x+6)-3x=26 what is the x value
Answer:
x=2
Step-by-step explanation:
4 (x + 6) - 3x = 26
solve the parenthesis
4x + 24 - 3x = 26
subtract 24 from both sides to get x by itself
4x - 3x = 2
solve
x = 2
PLEASE HURRY!!!
Use the graph of the function to answer the question.
A line that passes through points (negative 4, 5), (negative 3, 3) and (negative 2, 1).
What is the output of the function when the input is −3?
-3 × (-12)5 ?
what is the answer????
Answer:
If the X sign is multiple
=-3*-60
=180
solve for c: c-7 ≥ -3
What theorem proves that this congruent
sss
Step-by-step explanation:
side side side
all 3 or congruent
Find the equation of the line
Do you mean the measure?
What is the cost of the sweatshirt if the regular price is $42 and sales tax is 7.5%?
Answer:
$45.15
Step-by-step explanation:
42+(42)(.075)
42+3.15=45.15
I need help! please help
Answer:
B
Step-by-step explanation:
Please mark me brainleist
WILL GIVE BRAINLIEST.
Answer:
f(x)=1/4x
Step-by-step explanation:
As the x value increases, f(x) decreases at a constant rate of 1/4.
Select two linear pairs.
Answer:
The answer is B and A. Linear pairs are a set of angles that form a supplementary angle.
Step-by-step explanation:
i’ll make brainlest. help asap pls
Solve the system of equations by using the elimination method.
4x + 6y = 2
–4x + 4y = -12
Enter the solution as an ordered pair.
Answer:
(2, -1)
Step-by-step explanation:
We can add the first equation by the second
(4x + 6y = 2)+(-4x + 4y = -12)=
10y=-10
we divide both sides by 10 to get
y=-1
We plug -1 in the second equation to get:
-4x+4(-1)=-12
-4x-4=-12
-4x=-8
Now, we divide both sides by -4
x=2
Hope this helps!
You buy a cell phone for $95. The sales tax is 6%. How much do you pay in all?
Answer:
$95 x 6.25% = 5.9375
So, 95 + 5.9375 =
($) 100.9375
Step-by-step explanation:
Please i will give brainlist
What is he equation of the line passing through the points ( 2/5,19/20 ) and (1/3,11/12) in slope-intercept form?
Answer:
the second answer
y=1/2x+3/4
WILL MARK BRAINLIST!!!!
A string of lights is 69 1/3 feet long. The lightbulbs are spaced 8 inches apart. The diagram shows the beginning of the string and the end of the string. What is the total number of lightbulbs on the string of lights?
Answer: 104
Step-by-step explanation:
I multiplied 69 1/3 by 12 to get how many inches it would. Then I divided that answer by 8 and got 103.999999999999. If you round it then you would get 104.