Answers
15 = 2+ 32t -16(t^2)
16(t^2) - 32t = -13
h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.
15 = 2 + 32t - 16t^2
0 = -16t^2 + 32t -13
since the equation isn't factorable we will use the quadratic formula.
(-b +- sqrt(b^2 - 4ac))/2a
=
we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.
Related Questions
A line passes through (0, 2) and has a slope of 1/3.
What is the equation of the line in slope-intercept form?
A) y=1/3x+2
B) y=1/3x−2
C) y=−1/3x+2
Answers
Answer:
A)
y=1/3x +2
Step-by-step explanation:
equation of line is y=mx+c
so here the points are (0,2) and the gradient,m is 1/3
the y-intercept, c is 2
as when substituting the result is 2 for the y-intercept
substituting:y=mx+c (0,2)
2=1/3 (0) +c
c= 2
The equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope-intercept form of the line is:
y=mx+c
The points are (0,2) and the gradient,m is 1/3
c= 2
y = x/2 + 2
Thus, the equation of the line is y=1/3x +2 if a line passes through (0, 2) and has a slope of 1/3 option (A) is correct.
Learn more about the straight line here:
brainly.com/question/3493733
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Find the sum by first finding the equivalent fractions so both of the fractions have common denominators.
three eighths plus seven sixteenths equals blank
Question 2 options:
thirteen sixteenths
ten twenty fourths
ten sixteenths
four sixteenths
Answers
Answer:
thirteen sixteenths
Two cyclists are 7 miles apart when they begin biking away from each other in
opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of
the second cyclist is b miles per hour greater than the speed of the first cyclist.
How many miles apart are the cyclists in 45 minutes
Answers
Answer:
25
Step-by-step explanation:
Its just 25
Mr pilgrim needs fencing for his turkey coop the perimeter is 240 yards the length is 16 yards longer than the width
Answers
Based on the information given, the length will be 68 yards while the value of the width will be 52 yards.
Width = wLength = w + 16The calculation will go thus:
Perimeter = 2l + 2w
240 = 2(w + 16) + 2w
240 = 2w + 32 + 2w
240 = 4w + 32
4w = 240 - 32
4w = 208
w = 208/4 = 52
Therefore, the length will be:
= w + 16 = 52 + 16 = 68
Read related link on:
https://brainly.com/question/25748983
The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy
Answers
Answer:
20%Discount price is 14800
Then 5%Discount price of the new price is 14060
14060 is the answer
Susie has 5/8ths of a gallon of tea and needs to fill as many glasses as possible. If each glass holds 2/7ths of a cup, how many glasses can she fill? Hint: One gallon is the same as 16 cups. Pls hurry! Will mark brainliest.
Answers
Answer:
35 glasses
Step-by-step explanation:
Susie has 5/8 gallon = 5/8 * 16 = 10 cups
10 cups ÷ 2/7 cups per glass = 35 glasses
What is the range
of 98, 99, 100,
90, 98, 100?
Answers
Answer:
10
Step-by-step explanation:
Increasing order:-
90,98,98,99,100,100Range = Highest term - Lowest term
Range = 100 - 90
Range = 10
Hence,
Range of the given term is 10
Answer:
10Step-by-step explanation:
The data set in ascending order:
90, 98, 98, 99, 100It has min = 90, max = 100
The range is the difference between min and max:
100 - 90 = 10(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с
Answers
Answer:
c = 48
Step-by-step explanation:
Given c varies directly as a and inversely as b then the equation relating them is
c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation
To find k use the condition c = 15 when a = 18 and b = 40 , then
15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )
600 = 18k ( divide both sides by 18 )
[tex]\frac{600}{18}[/tex] = k
[tex]\frac{100}{3}[/tex] = k
c = [tex]\frac{100a}{3b}[/tex] ← equation of variation
When a = 36 and b = 25 , then
c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answers
Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?
Answers
Answer:
380 days
Step-by-step explanation:
38 × 1 = 38 38 × 6 = 228
38 × 2 = 76 38 × 7 = 266
38 × 3 = 114 38 × 8 = 304
38 × 4 = 152 38 × 9 = 342
38 × 5 = 190 38 × 10 = 380
20 × 1 = 20 20 × 6 = 120
20 × 2 = 40 20 × 7 = 140
20 × 3 = 60 20 × 8 = 160
20 × 4 = 80 20 × 9 = 180
20 × 5 = 100 20 × 10 = 200
20 x 10 = 200 20 x 20 = 400
so 20 x 19 = 380
First common number in both times table is 380
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answers
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
HI I REALLY NEED HEP PLEASEE
Answers
Option 2. Both lines have the same slope but start at a different y-intercept so they would be parallel. The other choices are false as well.
Hope this helps
(-2.05) - (-5)
explain and show how u did this
Answers
Answer:
2.95
Step-by-step explanation:
When we have a problem like this (-2.05)-(-5)
It becomes -2.05+5 because two negatives make a positive, then we add them and we get 2.95
Which equation can be simplified to find the inverse of y = 2x2?
1/y=2x^2
y=1/2x^2
-y=1/2x^2
x=2y^2
Answers
Answer:
D. x = 2y²Step-by-step explanation:
The step in working out the inverse is to swap over the variables.
If we apply same to given equation, we'll have:
y = 2x² → x = 2y²It gives us the option D
Answer:
Option D
Step-by-step explanation:
y=2x²Interchange x and y
x=2y²Hence option D is correct
y²=x/2y=√x/2The first side of a triangle of a triangle is 2 longer than the second side. The third side is 5 shorter than twice the second side. The perimeter is 49m. Find the length of each side.
Answers
Answer:
First side is 15 m.
Second side is 13 m.
Third side is 21 m.
Step-by-step explanation:
Let x be the second side of the triangle = x
The first side of a triangle is 2 longer than the second side = x + 2
The third side is 5 shorter than twice the second side. = 2x - 5
Perimeter = 49 m
The formula for finding the perimeter of triangle is:
P = a + b + c
Put the values in the formula
49 = x + x + 2 + 2x - 5
49 = 4x - 3
Use APE or Addition Property of Equality
49 + 3 = 4x
52 = 4x
Use DPE or Division Property of Equality to find the value of x
[tex]\frac{52}{4} = \frac{4x}{4}[/tex]
13 = x
Now put the value of x in the equation
First side( x + 2) = 13 + 2 = 15
Second side( x ) = 13
Third side (2x - 5) =
2(13) - 5
26 - 5
= 21
1 A function is represented by the following set of
ordered pairs.
{(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7
B y = 6x - 7
c y=2x - 7
Dy=2x-7
Answers
Answer:
C. y = 2x -7
Step-by-step explanation:
You can use any pair of points to find the slope. Use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2
This is the coefficient of x in the slope-intercept form ...
y = mx +b
The second point (0, -7) tells you that b = -7, so the equation is
y = 2x -7 . . . . matches C
1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}
Which equation represents the function?
A y = 3x - 7B y = 6x - 7c y=2x - 7Dy=2x-7Therefore the answer i letter D.
#CarryOnLearning
Help pleaseee giving brainliest !
Answers
Answer:
the answers you chose are correct.
Step-by-step explanation
b and d
Can u please help me with this. I’ll make brainliest
Answers
Answer:
number
Step-by-step explanation:
number than number lol sorry i dont know i wish i could help you
help! Scroll to see image!
Answers
mhorn seems to be correct
Step-by-step explanation:
yshahaa
BRAINLIEST
please help me do these problems I’ve almost finished the whole assignment
Answers
Answer:
13. PS ≈ 28.30
14. ∠CDB ≈ 68.74°
Step-by-step explanation:
13 =========================
We'll start from the right, at ∠R. We have the measurement of the angle, the adjacent side, and we need to find the measurement of the opposite side. Use the tan function in this case. (think soh-cah-toa)
[tex]tan(28)=\frac{x}{39} \\x=39tan(28)[/tex]
or x ≈ 20.74
Now we know that QS is about 20.74. From ∠P this time, we have the angle, the opposite side, and we need the hypotenuse. sin function this time.
[tex]sin(76)=\frac{39tan(28)}{y} \\ysin(76)=39tan(28)\\y=\frac{39tan(28)}{sin(76)}\\[/tex]
or y ≈ 28.30
PS ≈ 28.30
14 ======================
Start from ∠A and use tan.
[tex]tan(47)=\frac{x}{18} \\x=18tan(47)[/tex]
x ≈ 19.30
Then from ∠CDB, we'll use inverse cos.
[tex]cos^{-1}(\frac{7}{18tan(47)} )= y[/tex]
y ≈ 68.74°
∠CDB ≈ 68.74°
=======================
I'm pretty highly confident this is correct, but it's been a long time since I've done this and the irrational numbers seem strange. If the rest of the assignment was like that though, it should be fine.
Pls help me solve thisss
Answers
Answer:
J (-5,2)
Hope this helps!
Find the perimeter.Simplify your answer.
Answers
Answer:
24x-6
Step-by-step explanation:
To find the perimeter we have to ads all of our sides to together
8x-3+8x-3+4x+4x
Combine light terms
24x-6
The miller’s are comparing babysitting services for their two children. the babysitters block charges a rate of $15 an hour per child plus an initial fee of $25 per household. super sitters charges a flat rate of $20 an hour per child. for …. hours of service both babysitting services would cost the same
Answers
Answer:
2.5 hours
Step-by-step explanation:
BB = 25 + (15x)2
SS = (20x)2
25 + 30x = 40x
10x = 25
x = 2.5
Answer:
5 hours
Step-by-step explanation:
15 times 5 is 75 plus 25 is 100
20 times 5 is also 100
Mark can make 424242 birthday cakes in 777 days.
How many birthday cakes can Mark make in 555 days?
birthday cakes
Answers
424242/777=545
555x546=303,030
can somebody please help me
Answers
Answer:
The probability of drawing the first pink ball is [tex]\frac{3}{10}[/tex].
Because you drew that first pink ball, there are two pink balls left and the total number of balls left is nine.
Hence, the probability of drawing another pink ball after drawing the first pink ball would be:
[tex]\frac{3}{10} *\frac{2}{9} =\frac{1}{15}[/tex]
if you are graphing a system of equations, but the graph doesn't give you enough space to plot the y intercept or slope, what do you do? HELP ASAP
Answers
Write three different multiplication problems for which the product is 9x2 + 18x.
Answers
18 ( 1 + X )
sorry if my answer wrong
Identify the like terms of 3x, choose all that apply:
Answers
Answer:
-2x, x, 5x
Step-by-step explanation:
Answer:
5x-2xxStep-by-step explanation:
Like terms a self-explanatory. These are values that are alike. There has to be something they share in common. And those are: same variables, integers, etc. Am integer that is alike in terms has to have the same variable. For instance, 3x and 3y are not alike because they do not share the same variable.
3xy
It may have an "x" with it, but it is not alike because it also contains another variable, "y", which is not the same as "3x".
3
This may confuse people. Just because it is "3" and we have "3x" doesn't mean they are alike. There is no "x" in 3. And three is an integer.
7y
Seven has a y, which is different from an x.
PLZ HELP FAST!!
Alson earns a 7% commission on every sale he makes. Let a represent the commission Alson earns.
Damon earns the same commission as Alson. Let d represent the commission Damon earns.
Stefan does not earn the same commission as Alson. Let s represent the commission Stefan earns.
Which statement is true?
d = s
a = s
a = d
a ≠ d
Answers
Answer:
a = d
Step-by-step explanation:
I recommend writing the math out.
a = d ≠ s
d can not be equal to s, the same why a can not be equal to s. a and d are the same. a is equal to d, so it can not be a ≠ d. By process of elimnation, that leaves us with a = d
16 308/1000 as a decimal
Answers
Answer: 16.308
Step-by-step explanation:brainiest please