Answer:
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
Step-by-step explanation:
From Mechanical Physics we must remember that height reached by the ball as a function of time is a quadratic function if and only if ball is uniformly accelerated by gravity and viscous forces and Earth's rotation effects can be neglected. After assuming those considerations as true, the standard form of the quadratic function is:
[tex]h = a\cdot t^{2}+b\cdot t + c[/tex] (Eq. 1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height of the ball, measured in feet.
[tex]a[/tex] - Second order coefficient, measured in feet per square second.
[tex]b[/tex] - First order coefficient, measured in feet per second.
[tex]c[/tex] - Zero order coefficient, measured in feet.
From Algebra, we can obtain a quadratic function by know three distinct points and solving the resulting system of linear equations:
[tex]A(t, h)= (0\,s,192\,ft)[/tex]
[tex]c = 192\,ft[/tex] (Eq. 2)
[tex]B(t,h) = (1\,s,240\,ft)[/tex]
[tex]a+b+c = 240\,ft[/tex] (Eq. 3)
[tex]C(t,h) =(6\,s,0\,ft)[/tex]
[tex]36\cdot a + 6\cdot b + c = 0[/tex] (Eq. 4)
By Algebraic methods, we get this unique solution:
[tex]a = -16\,\frac{ft}{s^{2}}[/tex], [tex]b = 64\,\frac{ft}{s}[/tex], [tex]c = 192\,ft[/tex]
The equation of this function is [tex]h = -16\cdot t^{2}+64\cdot t+192[/tex].
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$2.75 because if you was to divide 22 by 8 you would get 2.75 , then to check your answer you would multiply 2.75 by each number by it and check the graph.
Step-by-step explanation:
−2(−x+4) − 3x+2= −5 what is x?
TO WHOEVER ANSWERS AND HAS BEST EXPLANATION YOU WILL GET BRAINLY
Answer:-1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(−x+4)−3x+2=−5
(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)
2x+−8+−3x+2=−5
(2x+−3x)+(−8+2)=−5(Combine Like Terms)
−x+−6=−5
−x−6=−5
Step 2: Add 6 to both sides.
−x−6+6=−5+6
−x=1
Step 3: Divide both sides by -1.
−x −1 = 1 −1 /x=−1
Answer:
x=−1
What is the awnser??????? I need help!!!!!!
Answer:
upside down so i might be wrong but the ratio is 3/2
Step-by-step explanation:
3:2 milk to ice cream
other ratios would be
6:4 9:6 12:4 15:5
(the question is slightly confusing but I think this is what they are asking for. )
C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
The selling price of the sweater = 0.5 x $20 = $30
For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6
After the first month, price is reduced by $30 - $6 = $24
After the second month, price is reduced by $24 - $6 = $18
Answer: 2 months
Step-by-step explanation: daddy long legs is smart
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin?
Answer:
The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)
Step-by-step explanation:
When conducting a 180 degree rotation, you can just reverse the points to get your answer.
The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.
Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph
here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.
Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Learn more about coordinate here:
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which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)
Answer:
3b+b and 2(2b)
Step-by-step explanation:
BRAINLIEST APPRECIATED!
THANKS!
If 7p + 89 = 4p - 2, what is the value of p
Answer:
p = -30.3
Step-by-step explanation:
Answer:
p= −91/3
Step-by-step explanation:
A line has a y-intercept of 4 and a slope of 10. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answer:
y=10x+4
Step-by-step explanation:
Answer:
y=10x+4
Step-by-step explanation:
TILE Mark is purchasing new tile for his bathrooms. The home improvement store charges $48 for each box of tiles when three or fewer boxes are purchased, $45 for each box when 4 to 8 boxes are purchased, $42 for each box when 9 to 19 boxes are purchased, and $38 for each box when more than nineteen boxes are purchased a. Write a piecewise-defined function describing the cost of the boxes of tile. b. What is the cost of purchasing 5 boxes of tile? What it is the cost of purchasing 19 boxes of tile?
Answer:
Kindly check explanation
Step-by-step explanation:
3 boxes or less = Cost of tiles = $48
4 - 8 boxes ; cost = $45
9 - 19 boxes ; cost = $42
> 19 boxes ; cost = $38
Cost of purchasing 5 boxes of tiles :
$45 * 5 = $225
Cost of purchasing 19 boxes :
$42 * 19 = $798
I need help with this question.
-3(k+5)>-7-3k
Answer:
no solution
Step-by-step explanation:
-3(k+5)>-7-3k
Distribute
-3k -15 > -7-3k
Add 3k to each side
-3k+3k -15 > -7-3k+3k
-15 > -7
This is not true so there is no solution
4. In one day, a movie theater collected $4600 from 800 people. The price of admission is $7 for an adult and $5 for a child. How many adults and how many children were admitted to the movie theater that day? I
Answer:
this is a system of equations , and it's no surprise that it's tricky for you. these are tricky for anyone.
Step-by-step explanation:
X=adults
Y=children
I only know to make these two equations from experience doing these types of questions.
X+Y=800
7X +5Y=4600
there are a few ways to solve this , i"m just going to multiply the first equatlion by 7 and the subtract the 2nd from that whole equation.
7(X +Y=800)
7X +7Y = 5600
-(7X +5Y =4600)
0X +2Y = 1000
Y = 500 ( 500 children went to the movies )
by inspection you can probably see that 300 adults had to go too
500 kids
300 parents
also that's 4600 dollars to let those people in
7(300) + 5(500) = 4600
2100 + 2500 = 4600
combine like terms to create an equivanlent expression and simplify coefficents and constants -6/5-2/3v+4/15+1/3v
Answer: −
1
4
1
5
+
−
2
3
+
3
Step-by-step explanation: because im smart and ty for the points mate or girly girl
help I’ll award brainliest
Answer:
Most likely the answer hope this helps :P
Step-by-step explanation:
1= 10
2= 20
5 = 50
8 = 80
X = 100
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
Plz help with this question
Answer:
A
Step-by-step explanation:
Given
6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )
3x + 24 ≥ 9 ( subtract 24 from both sides )
3x ≥ - 15 ( divide both sides by 3 )
x ≥ - 5 → A
Answer:
A
Step-by-step explanation:
First, divide both sides by 6:
6(x/2 + 4) ≥ 9
x/2 + 4 ≥ 9/6
x/2 + 4 ≥ 3/2
Now, subtract 4 from both sides:
x/2 ≥ 3/2 - 4
x/2 ≥ -5/2
Finally multiply both sides by 2:
x ≥ (-5/2) * 2
x ≥ -5
The answer is thus A.
~ an aesthetics lover
1/3 (d +4)-9 = 1/2(6-d)-4
Will mark as brainliest and 50 points will be given
Answer: 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 1/2d to both sides.
Step 3: Add 23/3 to both sides.
Step 4: Multiply both sides by 6/5.
d=8
In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below
Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
Four people share 2/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Answer in simplest form.
Answer: 1/10
Step-by-step explanation:
2/5 x 1/4= 1/10
keep, change, flip
Solve the equation 5x+9=4.
Answer: x=-1
5x+9=4
-9 -9
_______
5x= -5
/5 /5
x= -1
[tex]\huge{\boxed{\sf{x=-1}}}[/tex]
[tex]\huge{\pink{Given \: Equation:}}[/tex]
Step 1:
[tex]5x + 9 = 4[/tex]
Step 2:
[tex]⇒5x = 4 - 9[/tex]
Step 3:
[tex]⇒5x = - 5[/tex]
Step 4:
[tex]⇒x = \frac{ - 5}{5} [/tex]
Step 5:
[tex]⇒x = - 1✓[/tex]
[tex]\huge{\blue{Verification:}}[/tex]
Step 1:
[tex]5x+9=4.[/tex]
Step 2:
[tex]⇒5 \times - 1 + 9 = 4[/tex]
Step 3:
[tex]⇒ - 5 + 9 = 4[/tex]
Step 4:
[tex]\red{⇒4 = 4}[/tex]
[tex]\huge{†Hence \: Vertified†}[/tex]
Linda bought n packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils p that Linda bought.
Answer:
p = 12n
Step-by-step explanation:
Given parameters:
Number of pencils in each pack = 12 pencils
Number of packs bought = n
Unknown:
equation for total number of pencils, p = ?
Solution:
Total number of pencils = number of pencils in each pack x number of packs bought
Input parameters:
p = 12 x n
p = 12n
Can someone help me out with this? First to answer will get brainliest. :)
solve for x????????
Answer:
x=54º
Step-by-step explanation:
So the angle is a 90º angle because of that square so you subtract 36 by 90 which will become 54
Hope this helps!
Answer:
x= 54º
Step-by-step explanation:
Let's break this down...
First, you have to look at the whole angle and if you are lucky you find a square.
The square is always equal to 90º
So to find x you need to subtract 90 and 36 which is 54
Hope this helps!
What Is 2+4? I need to know.
Answer:
the answer is 6
Step-by-step explanation:
Answer:
6! Hope this helps have a great night!!!!
Step-by-step explanation:
May I plz have brainliest?
Rounded 1.402 to the nearest thousand
Answer:
Your answer is: It is already rounded to the nearest thousandth.
If you rounded to the nearest hundred your answer is: 1.40 or 1.400
If you rounded to the nearest tenth your answer is: 1.4
Step-by-step explanation:
Hope this helped : )
What is the most important variable in the problem?
An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?
Answer:
Step-by-step explanation:
There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.
The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.
98 - 10 = 88
this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question
Answer:
Step-by-step explanation:
The measure of angle BCD is 22 degrees
The measure of angle DCE is 158 degrees
The measure of angle BCF is 158 degrees
The measure of ECF is 22 degrees
Answer:
BCD = 22
DCE = 158
BCF = 158
ECF = 22
Step-by-step explanation:
first one is alternate interior angles
second one is 180 - 22
third one is congruent to second one
last one is congruent w/ BCD
What is the greatest common factor (GCF) of 51 and 85? A. 17 B. 3 C. 5 D. 23
Answer:
!7 hope this helps:)
Step-by-step explanation:
Select all the equations that have the same solution as the equation 3x-12=24
Answer:
Select all the equations that have the same solution as the equation 3x-12=24
Step-by-step explanation:
At noon the temperature was 0°C. If the temperature then rose 3°C per hour, what was
the temperature after 7 hours?
Answer:
21 degrees
Step-by-step explanation:
Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.
The x-intercept is
.
The y-intercept is
Answer:
x-intercepts is (4,0)
y -intercepts is (0,-2)
Step-by-step explanation:
Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)
What is slope intercept form and how it can be used to find y and x intercept of the line?The slope intercept of a line is given by the equation y = m x+ c
y is y coordinate, x is x coordinate, m is the slope of the line
c is y- intercept of the line
y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point in the given slope intercept form and find c.
For finding x - intercept, put y = 0 in the equation and find value of x.
Given line -4x +8y = -16
Then add 4x both sides , we get
⇒4x+4x +8y = -16+4x
⇒ 8 y = 4x -16
Divide both sides by 8
⇒ y = (4/8) x - (16/8)
⇒ y = (1/2)x -2
Comparing this equation with y =mx+c
⇒ c =-2
Put y = 0 in the equation y = (1/2)x -2
⇒ 0 = x/2 -2
⇒2 = x/2
⇒4 =x
Therefore x- intercept is (4,0) and y - intercept is (0,-2)
Also, learn more about the slope intercept form from the link below:
brainly.com/question/9682526
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