Answer:
The time of fall is 9 seconds
Step-by-step explanation:
We are asked to find the time between when the penny was dropped and when it landed.
To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.
From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by
[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1
in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax
Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0
We can now differentiate equation 1 above to get
h max = 16t - 0 ------------- equation 2
recall that h max = 144
plugging the value of h max into equation 2, we have
144 = 16t
t = 9 seconds
Therefore the time of fall is 9 seconds
Answer:
t= 3 seconds
Step-by-step explanation:
I took the quiz and this is the answer
Pls help?!?!? With this
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
Determine the solution to the following system of equations.
y = -2x2 + 4x + 8
y = -4x + 16
Answer: (2, 8)
Since both equations in the system are equal to y, substitute -4x + 16 for y in the quadratic equation, and then solve for x as follows.
Next, substitute x = 2 into either of the original equations to find the y-value of the solution to the system of equations.
Therefore, the solution to the given system of equations is (2,8).
The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
⇒ y = - 2x² + 4x + 8
⇒ y = - 4x + 16
Now,
Since, The system of equations are,
⇒ y = - 2x² + 4x + 8 ..(i)
⇒ y = - 4x + 16 ..(ii)
Substitute the value of y from (ii) in equation (i), we get;
⇒ - 4x + 16 = - 2x² + 4x + 8
⇒ - 2x² + 4x + 8 + 4x - 16 = 0
⇒ - 2x² + 8x - 8 = 0
⇒ - x² + 4x - 4 = 0
⇒ x² - 4x + 4 = 0
⇒ x = - (-4) ± √ (-4)² - 4×1×4 / 2×1
⇒ x = 4 ± √16 - 16 / 2
⇒ x = 4 / 2
⇒ x = 2
And, y = - 4x + 16
⇒ y = - 4 × 2 + 16
⇒ y = - 8 + 16
⇒ y = 8
Thus, The solution of the system of equations will be;
⇒ x = 2
⇒ y = 8
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Please please ASAP ASAP please ASAP thank you so much please
No links or files please
Answer:
(0, 3)
Step-by-step explanation:
Y axis changes and x axis stays the same
Complete the equations below. please please
Answer:
364 hundredths÷7
Step-by-step explanation:
3.64=364/100= 365 hundredths
What is the growth (or slope) of the simplified equation??
Answer:i think its y+3x+8x-7
Step-by-step explanation:i dont have to explain
Reference angle of 2/15 pi
Answer:
Add
2
π
to
−
15
π
2
.
−
15
π
2
+
2
π
The resulting angle of
−
11
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
11
π
2
Add
2
π
to
−
11
π
2
.
−
11
π
2
+
2
π
The resulting angle of
−
7
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
7
π
2
Add
2
π
to
−
7
π
2
.
−
7
π
2
+
2
π
The resulting angle of
−
3
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
3
π
2
Add
2
π
to
−
3
π
2
.
−
3
π
2
+
2
π
The resulting angle of
π
2
is positive and coterminal with
−
15
π
2
.
π
2
Step-by-step explanation:
zorry if im wrong
6 1/2 x 3 1/3 x 2
what’s the volume?
Answer:
1891 /3
Step-by-step explanation:
2.5 ( y + 2/5) = -13
Answer:
y= -5.6
Step-by-step explanation:
Josh's soccer team had a competition to see which player should be the goalie. Each player tried to block 15 kicks from entering the goal, and the coach recorded the number of successfully blocked kicks. Josh made a dot plot to display the information. What is the interquartile range for the data?
Answer:
sup
Step-by-step explanation:
hey
Corine bought 2 iced guava passionfruit drinks and 3 iced pineapple matcha drinks for herself and 4 friends from Starbucks. Both drinks cost the same amount. Corine gave the barista $30, who then gave her back $4.75 in change. Let x represent the price of a drink. How much did one drink cost?
Simplify the expression
(-3v)^5
Answer:
=-243v^5
Step-by-step explanation:
=-(3v)^5
=-3^5v^5
=3^5=243
=-243v^5
Helped by NONE other than the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!
HOPE THIS HELPED!!!
Answer:
=-243v^5
Step-by-step explanation:
[tex](-3v)^5 = -3 x-3 x-3 x-3 x-3 = -243 ..than..add..the..v..which..equals..--243^5\\[/tex]
I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!
Jak mam uzbierać szybko na nowego Samsunga Galaxy s21+ bo potrzebuje jeszcze 2 900zł Pls szybko daje naj
Answer:
yesss queeen
Step-by-step explanation:
Genevieve is 3 years older than twice her brother's age. Genevieve is 21 years old. Write an equation to find her brother's age.
The equation that represents Genevieve's brother is y = 18/2.
What is the equation that represents Genevieve's brother age?The equation that represents Genevieve's age:
21 = 3 + 2Y
Where Y represents Genevieve's brother age
In order to determine the required equation, make y the subject of the formula
21 - 3 = 2y
18 = 2y
y = 18/2
To learn more about linear functions, please check: https://brainly.com/question/26434260
The volume of a sphere can be found using the formula: v = 47. Find the volume of a sphere if
3
the radius is 12.5 cm. Round your answer to the nearest cm.
1. Find the AREA of the circle.
Answer:
Step-by-step explanation:
If you leave π as π, it should be 169π square feet
If you do π as 3.14, it should be 530.66 square feet.
If you do π as 22/7, it should be 531 1/7 square feet.
Hope that helps! :)
Find m
(-x+3) - (x-5) ,.................,.,.,.,.,.,.,.,.......,.,.,.,..
Answer:
-2x+8
Step-by-step explanation:
(-x+3)-(x-5)
= -x+3-x+5
= -2x+8
8th grade math simple help
Answer:
1) x = 30
2) x = 11.6
Step-by-step explanation:
1) 2x = 4x - 60 (vertical angles are equal)
subtract 4x from each side of the equation:
-2x = - 60
divide both sides by -2:
x = 30
2) 7x + 16 + 3x + 48 = 180° (supplementary angles add up to 180°)
combine like terms:
10x + 64 = 180
subtract 64 from both sides of the equation:
10x = 116
divide both sides by 10:
x = 11.6
Daniel has 54/3 CUPS of ice in the ice maker to use to make smoothies for his friends. He uses 2/3 of ice for each smoothie. How 3 cups many friends can have a smoothie?
Answer:
27
Step-by-step explanation:
i might be wrong if I'm wrong try 9 as the answer
Answer:
i think 9 i might be wrong
Step-by-step explanation:
Emma bought two televisions at 2500.00 each.One got slightly damaged during transportation.He sold the undamaged one at 3000.00 and sold the damaged one at 2200.00.Calculate the profit made by Emma
Answer:
200.00
Step-by-step explanation:
Cost of 2 television at 2,500.00 each = 2 × 2,500.00
= 5000.00
Cost of 2 television = 5,000.00
Selling price of the undamaged TV = 3000.00
Selling price of the damaged TV = 2200.00
Total selling price = 3000.00 + 2200.00
= 5,200.00
Total selling price = 5,200.00
Profits = selling price - cost price
= 5,200.00 - 5,000.00
= 200.00
Profits = 200.00
[tex]48 - 3x¨2[/tex]
Answer
= -78
Step-by-step explanation:
Not sure if i got this but i least i tried to help
solve for the variable b -1/2 ( b - 6 ) =6
Answer:
56
Step-by-step explanation:
Answer:
b=6
Step-by-step explanation:
b-1/2(b-6)=6
b-1/2b+3=6
2b-b+6=12
b+6=12
b=12-6
b=6
PLEASE HELP!!
solve
2x + 3y = 12
( 6x - y = 4 )
A. x = - 1 1/2, y = -13
B. x = 1 1/5, y = 3 1/5
C. x + 1 1/3, y = 4
D. x = 11, y = -3 1/3
Answer:
I am not sure but
Step-by-step explanation:
try to use to website https://www.symbolab.com/solver/pre-algebra-calculator
you can chose what your learning and it gives you the right answer. make sure you put the numbers in correctly. if you don't it will mess every thing up for that problem. That one reason I have a B in math cuz i use that site for my math. and it shows you how to do it with steps
please give me a heart if the site really helps you guys :)
solve for x
enter the solutions least to greatest
-x^2 -8=-33
Answer:
[tex] \bf \huge ± 5 [/tex]
Step-by-step explanation:
Given :- x^ 2 - 8 = - 33to find :find ''x''explanation :⟼ - x^ 2 - 8 = - 33
step 1 : add 8 to both sides
⟼ − x² − 8 + 8 = − 33 + 8
⟼ - x² = - 25
step 2 : Divide both sides by -1
⟼ - x² / - 1 = - 25 / - 1
⟼ x² = 25
step 3 : take square root
⟼ x² = 25
⟼ x = ± √25
⟼ x = ± 5
∴ x = ± 5.
8(a+5)=8•a+8•5
___. ___
= |_?_|a + |_?_|
Answer:
|8|a + |35| or = |-8|a+|-35_|
Step-by-step explanation:
8(a+5)=8•a+8•5
=8a+35
= |8|a + |35| or = |-8|a+|-35_|
a runner ran 2/3 of 5 km race in 21 minutes how long does it take to run the entire race
Answer:
31.5 min
Step-by-step explanation:
you divide 21 in hald to get 10.5 which is 1/3 to multiply by 3 for a whole race getting 31.5
i need answer for 4 a)
Answer:
4a). 0.52
Step-by-step explanation:
-2(-5.2) × 0.1÷2= 0.52
4.
Find the slope of the line.
A. 2/3
B. 3/2
C. -2/3
D. -3/2
Answer:
B 3/2
correct if I'm wrong
Answer:
B. 3/2
Step-by-step explanation:
Nancy has to find the reflection of a point across both the x- and the y-axes. Using what you've learned so far about reflections across the x-axis and reflections across the y-axis, can you come up with a rule for what happens to the signs when you reflect a point across both axes?
Answer:
Step-by-step explanation:
All she needs to know is that a reflection across the x-axis is when the x coordinate stays the same and the y-coordinates change.
Hope this helped.
Answer:
To find the reflection of a point across the x-axis and the y-axis, change the signs of both the x-coordinate and the y-coordinate.
Step-by-step explanation:
!!edmentum answer!!
In 2000 there were about 2172000 farms in the United States twenty four thousand of the farms were in South Carolina what percent of the farms were in South Carolina
Answer:
the percentage of the farms were in SOuth caroline is 1.10%
Step-by-step explanation:
The computation of the percentage of the farms were in SOuth caroline is shown below:
= NUmber of farms in south carolina ÷ number of farms in united states
= 24000 ÷ 2172000
= 1.10%
Hence, the percentage of the farms were in SOuth caroline is 1.10%
We simply used the above formula so that the percentage could come