Answer:
t = 6.031 seconds
Step-by-step explanation:
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
We need to find how many seconds did the ball hit the ground.
Using equation of motion to find height of the ball.
[tex]h=-16t^2+96t+3[/tex]
When it hits the ground.
h = 0
[tex]-16t^2+96t+3=0[/tex]
It is a quadrctic equation where a = -16, b = 96 and c = 3
[tex]t=\dfrac{-96\pm \sqrt{96^2-4(-16)(3)} }{2(-16)}\\\\t=-0.031\ s, 6.031\ s[/tex]
Neglecting negative value.
So, after 6.031 seconds the ball will hit the ground.
Given :
Roscoe hit a ball straight up at a speed of 96 ft/s.
His bat hit the ball at a height 3 ft above the ground.
To Find :
After how many seconds did the ball hit the ground.
Solution :
When the ball reaches the same height from which it is thrown ( i.e. 3 ft ) its displacement will be zero.
So, using equation of motion :
[tex]s = ut + \dfrac{at^2}{2}\\\\96t - \dfrac{10t^2}{2} = 0\\\\5t^2 - 96t = 0\\\\t( 5t - 96 ) = 0\\\\t = \dfrac{96}{5}\\\\t = 19.2 \ s[/tex]
Now, time taken to reach ground from 3 feet of height is :
[tex]s = ut + \dfrac{at^2}{2}\\\\3 = 96t + 5t^2 \\\\5t^2 + 96t - 3 = 0[/tex]
t = 0.03 s
Therefore, time taken is T = 19.2 + 0.03 = 19.23 seconds.
A table shows a proportional relationship where k is the constant of
proportionality. The rows are then switched. How does the new constant of
proportionality relate to the original one? *
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
yˆ=1.87x2+5.16x+10.54
yˆ=1.87x2+5.16x
yˆ=1.87x2−5.16x+10.54
yˆ=−1.87x2+5.16x
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
9514 1404 393
Answer:
(c) y = 1.87x^2 -5.16x +10.54
Step-by-step explanation:
The attached graphing calculator output shows the best choice is the third one.
__
Additional comment
The best fit is offered by a function of degree about 3.7. Even a cubic offers much better fit than this quadratic.
Answer:
yˆ=1.87x^2−5.16x+10.54 is correct for all future users
Step-by-step explanation:
Use the distributive property to rewrite each expression. -5(3-h)
Answer:
−15+5h
Step-by-step explanation:
Answer:
-15 + 5h
Step-by-step explanation:
-5( 3 - h)
(-5*3) (-5*-h)
-15 + 5h
Hope this helps!
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
Find the value of x and y.
Answer:
X=63 y=27
Step-by-step explanation:
X and 117 are on a straight line. All straight lines = 180 degrees.
180 - 117 = 63
90 - 63 = 27
PLz help an show work for brainlist
Step-by-step explanation:
Its option D
As, for red $12 is charged
So 35 x $12 = 420
And white is $10
So, 20 x 10 = $200
= $420 + $200 = $620
Hope this helps
Please solve!! :)
-3 lx+4l= -6
Answer:
x = -2, -6
Step-by-step explanation:
I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)
Write the equation of a line parallel to the line y = 2x that passes through 0,4
Note: this answer assumes that the question accepts the equation to be written in slope-intercept form.
Answer:
y = 2x + 4
Step-by-step explanation:
To write an equation of a line knowing a slope and a y-intercept, you can use slope-intercept form, or y = mx+ b.
1) Lines that are parallel to each other have the same slope. The answer needs to be parallel to the line y = 2x, so whatever the slope of that equation is must be the slope of the answer, too.
y is isolated in y = 2x, meaning it is in slope-intercept form, or y = mx +b form. The m in y = mx + b represents the slope of the line. In the equation y = 2x, the 2 is in the place of that m - meaning that 2 is the slope of that line, and therefore the slope of the answer, too.
2) The question also says that (0,4) is a point the line must pass through as well. However, notice that the x-value of the point is 0, meaning it is positioned on the y-intercept. Therefore, (0,4) must be the y-intercept of the equation.
3) To write a linear equation with y = mx + b form, you need to replace the m and the b for real values. The slope is 2, and m represents the slope - so write 2 in place of the m. The b represents the y-value of the y-intercept point - knowing that point is (0,4), write 4 in place of the b. Therefore, the answer would be y = 2x + 4 (assuming the question can be written in slope-intercept form).
Question 6 Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
20
16
12
8
4
1
2
3
5
-5 -4 -3 -2 -1 0
4
-8
-12
-16
-20
y = a + x
y = 1 X
y = 4 + x
y = 4x
Answer:
The equation of the graph is;
y = 4·x
Step-by-step explanation:
The coordinates of two points, (x₁, y₁), and (x₂, y₂) respectively on the straight line graph are;
(-3, 12), and (2, 8)
The slope, m, of the straight line graph is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, by substitution of the values, we have;
[tex]Slope, \, m =\dfrac{8-(-12)}{2-(-3)} = \dfrac{8 + 12}{2 + 3} =\dfrac{20}{5} = 4[/tex]
The equation of the graph in point slope form is therefore;
(y - 8) = 4×(x - 2)
y = 4·x - 8 + 8 = 4·x
y = 4·x.
What would you call the shape of this formula (C3H8)
An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.
hi can someone please help me
Answer:
Volume = 1436.8 cm³
Step-by-step explanation:
Formula for the volume of a sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = radius of the sphere
For a sphere which has the radius = 7 cm
Volume of the sphere = [tex]\frac{4}{3}\pi (7)^3[/tex]
= 1436.76
≈ 1436.8 cm³
Therefore, volume of the sphere is 1436.8 cm³.
Use the rules of significant figures to simplify the following expression: 47.2 - 6
Answer:
41.2
Step-by-step explanation:
A football team moved -8 yards on one play, then lost another 4 yards on the next play. How many total yards did the football team move on those two plays?
Answer:
12 yards
Step-by-step explanation:
you subtract negative 8 and 4 and it gives you twelve yards of the play
10 POINTS!!!!
do the question in the image
Answer:
4x+3=27
Step-by-step explanation:
So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27
What should be the height of the water after 13 marbles are dropped in?
Answer:
about 13 marbles
Step-by-step explanation:
PLS AWNSER IS LOTS OF POINTS
Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation
A value is decrease by 92% for a new value of 13.12 find the original value
Step-by-step explanation:
Decreased by 92% = 8% of original
8% of original value = New value = 13.12
100% of original value = 13.12 * (100/8) = 164.
The original value is 164.
(2x - 5), (2 +30), and (2x – 5)
Solve for x
Which of the following values are solutions to the
inequality –8 + 2x > 5
Answer:
6
Step-by-step explanation:
i guess
Conray is 72 years old. He is three times his daughter's age. His daughter is three years younger than Nia.
How old is Nia?
1️⃣0️⃣‼ POINTS!!!
Answer: 27 I think
Step-by-step explanation:
72 divided by 3 plus 3
The age of Nia is given by the equation N = 27 years old
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the age of Nia be represented as N
Now , the equation will be
Let the age of Conray be C
The value of C = 72 years
And , Conray is three times his daughter's age
Let the age of Conray's daughter be D
The value of D = C / 3
Substituting the values in the equation , we get
The value of D = 72/3 = 24 years
And , Conray's daughter is three years younger than Nia
So , N = D + 3
Substituting the values in the equation , we get
N = 24 + 3
On simplifying the equation , we get
N = 27 years
Therefore , the value of N is 27 years
Hence , the age of Nia is 27 years
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What school subject is a witch good at?
Answer:
Spelling
Explanation:
Not gonna bother explaining the joke, I'm not that boring.
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
Do this for a lot of points and brainly!!! Asap
Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?
What is the least number of days after Monday that Joseph needs to run to reach his goal?
Answer:
Step-by-step explanation:
At the end of practice, Joseph will need to run another 1.75 miles or 1 3/4 miles.
To determine this we need to subtract the amounts he already has run during practice from the goal of 3 miles.
3 miles - 1/2 miles - 1/4 miles - 1/4 miles - 1/4 miles = 1.75 miles
This question hard solve fast lots of points
Answer:
2<a<5
Step-by-step explanation:
Solve And Graph 12 + 6 _> 42
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
1 2/7
Step-by-step explanation:
i did the math :) ................
The turtle pond measures 40 square feet. 1 turtle requires approximately 2 square feet of space. Using this information, determine the maximum population size of the turtles in the pond.
Answer:
20 turtles
Step-by-step explanation:
40 divide 2 = 20
Pls help and SHOW WORKINGS....due ASAP
Answer:
(B). 50°
Step-by-step explanation:
(5x + 55)° = (2x + 100)°
5x + 55 = 2x + 100
5x - 2x = 100 - 55
3x = 45
x = 15
5(15) + 55 = 130°
m∠2 = 180° - 130° = 50°
Pls
Help!!!!!
Directions: Find all missing angles.
Answer:
m<1 = 87°
m<2 = 45°
m<3 = 45°
m<4 = 52°
Step-by-step explanation:
Angle C is a right angle. Therefore, it is 90°. Because line segment BC bisects angle C, the two angles would be 45° since 90 ÷ 2 = 45.
So, angles 2 and 3 equal 45°.
Now that we have two angle measures, we can find the measure of the third angle.
45 + 48 = 93°
180 - 93 = 87°
Angle 1 equals 87°.
45 + 83 = 128°
180 - 128 = 52°
Angle 4 equals 52°.
Hope that helps.
