You drop a stick from a height of 64 feet. At the same time, your friend
drops a stick from a height of 144 feet.
a. After how many seconds does your stick hit the ground?
b. How many seconds later does your friend's stick hit the ground?
Answers
Using a quadratic function, it is found that:
a) It hits the ground after 2 seconds.
b) Your friend's stick hits the ground 0.83 seconds later.
What is the quadratic function for the projectile's height?It is given by:
[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:
[tex]s(t) = -16t^2 + 64[/tex]
It hits the ground when s(t) = 0, hence:
-16t^2 + 64 = 0
t^2 = 4
t = 2.
It hits the ground after 2 seconds.
Item b:
For your friend, we have that h(0) = 144, hence:
-16t^2 + 144 = 0
t^2 = 8.
t = 2.83.
2.83 - 2 = 0.83.
Your friend's stick hits the ground 0.83 seconds later.
More can be learned about quadratic functions at https://brainly.com/question/24737967
Related Questions
a customer wants you to enlarge a photo to 2 3/4 its current height. the photos current height is 3 1/4 inches. what should its enlarged height be in inches?
Answers
this a a joke...
haha goodbye
Answer:6 inches
Step-by-step explanation:
find the hcf by prime factorization method of 18 and 24
Answers
Answer:
6
Step-by-step explanation:
Prime factorization of 18 = 2 × 3 × 3
Prime factorization of 24 = 2 × 2 × 2 × 3
Common factors of 18 and 24 = 2 × 3 = 6
HCF (18,24) = 6
Solve the equation and enter the value of x below.
-3x-9=-27
x=
Answers
Answer:
6
Step-by-step explanation:
-3x=-27+9
-3x=-18
x=-18/-3
x=6
Answer:
[tex]\displaystyle 6 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle -3x - 9 = -27 \hookrightarrow \frac{-3x}{-3} = \frac{-18}{-3} \\ \\ x = 6[/tex]
I am joyous to assist you at any time.
154-54(79-1554)+12x24
Answers
Answer:
80092
Step-by-step explanation:
Answer:
80092.Step-by-step explanation:
Given equation:
154 - 54 * (79 - 1554) + 12 * 24Step-By-Step:
Step 1
Subtract the numbers:
154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24Step 2
Multiply the numbers:
154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288Step 3
Add the numbers:
154 + 79650 + 288= 80092.Answer is 80092.
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answers
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
Subtract 17a²b from 2a²b
Answers
Answer:
-[tex]15 {a}^{2}b[/tex]
Use the information given to answer the question.
which two inequalities represent the constraints for the art studio classes
per week?
an art studio offers classes for painting and pottery. each painting class is 1
2+ y = 40
hour long. each pottery class is 1.5 hours long. the art studio is only open
0 2 +1.5y = 40
for classes a maximum of 40 hours per week, and only one class is offered at
o +1.5y > 40
35(2 + y) < 1,000
a time. each class costs $35,and the art studio earns a minimum of $1,000
35(x + y) > 1,000
per week from all classes. let be the number of painting classes offered per
calculator
week, and let y be the number of pottery classes offered per week.
Answers
The two inequalities that represents the constraints for the art studio classes per week are:
x + 1.5y = 40
35(x + y) > 1,000
What two inequalities represent the constraints?Here are inequalities signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
= means equal to
The inequality that represents the total hoursthe art studio is open would be an equal to sign. This is because the store is open for a maximum of 40 hours.
The inequality that represents the total earnings would be represented with a greater than sign because the studio earns more than $1000 weekly.
To learn more about inequality, please check: https://brainly.com/question/5031619
Thank you please help if you can
Answers
Answer:
The answer is -
15.5^2 Mi
Give brainliest if it helps you
Select the correct answer from each drop-down menu. jordan is tracking a recent online purchase. the shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. the width of the box is seven inches less than the height. the volume of a rectangular prism is found using the formula v = lwh, where l is the length, w is the width, and h is the height. complete the equation that models the volume of the box in terms of its height, x, in inches. x2 - x = is it possible for the height of the box to be 15 inches?
Answers
Answer:
A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,
2880 = 24(x)(x - 7)
Simplifying,
2880 = 24x² - 168x
B. The value of x from the equation is 15. Thus, the answer is YES.
Step-by-step explanation:
a) The equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
What is volume?Volume is the three-dimensional space bounded by a boundary or inhabited by an item.
The given data in the problem is;
L is the length of the box= 24-inch
V is the volume = 2,880 cubic inches.W
W is the width of the box
h is the height
Let the side of the box is x then volume V is found as;
V=LWh
2880 = 24(x)(x - 7)
2880 = 24x² - 168x
Hence the equation that models the volume of the box in terms of its height will be 2880 = 24x² - 168x.
b)Yes, it is possible for the height of the box to be 15 inches
The value of x obtained from the equation is 15.
Hence yes, it is possible for the height of the box to be 15 inches
To learn more about the volume refer to the link;
https://brainly.com/question/1578538
Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5
Answers
Answer:
Step-by-step explanation:
First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.
To clarify...
*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1
*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3
After we determine the slope of the perpendicular line, we are also know the point it must pass through.
Given that, we can find the equation.
Using y=mx+b
Plug in known varibles
y=-5
x=-4
m=2
b=?
-5=2(-4)+b
b=3
So now that we have b, we can put the equation in standard form.
y=2x+3
Hope this helps!!!
What's the answer?? I really need help
Answers
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
Find the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3
1
4
in
112 in
1
in
12
NA
1
1
in
.
inches
Answers
Answer:
7 1/3 inches
Step-by-step explanation:
2 (1 3/4 + 1 11/12)
9+11
3/4+11/12= -------------
12
20/12
=1 2/3+ 2
2(3 2/3)
= 7 1/3
How can we write the domain and range for a function that is not piece-wise such as y=x?
Answers
Answer:
(−∞,∞)
Step-by-step explanation:
For every x value there is, there is an equivalent y value, thus there are infinite x and y values that satisfy this equation.
Hope this helps!!!
Luke bought a video game system that costs $99.95 and games that cost $19.99 each. Bella bought a game system that costs $125.79 and games that cost $15.99 each. Luke spent no more than what Bella spent.
Which inequality represents this situation?
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x < 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
99.95 + 19.99x > 125.79 + 15.99x
Answers
Answer:
a
Step-by-step explanation:
because < means bigger and 125 is bigger than 99
Answer:
99.95 + 19.99x ≤ 125.79 + 15.99y
Step-by-step explanation:
Given:
Luke bought a video game system that costs $99.95 and games that cost $19.99 each.
Bella bought a game system that costs $125.79 and games that cost $15.99 each.
Luke spent no more than what Bella spent.
To Find:
Which inequality represents this situation?
Solve:
Let Luke bought = x.
Let Bella bought = y.
How much Luke paid = $99.95 + $19.99 × x = $99.95 + $19.99x
How much Bella paid = $125.79 + $15.99 × y = $125.79 + $15.99y
Luke paid is equal or lesser than how much Bella paid, then
99.95 + 19.99x ≤ 125.79 + 15.99y
~lenvy~
A circular plot of land has a diameter of 16 yards. what is the area of the
land? use 3.14 for t.
Answers
Here's the solution :
radius = 8 yards ( half the diameter )
now, we know,
[tex]area=[/tex] [tex]\pi r^2[/tex]
let's solve,
[tex]3.14[/tex] × [tex]8[/tex] × [tex]8[/tex][tex]200.96[/tex] [tex]yd^{2}[/tex]so, correct answer is [tex]200.96[/tex] [tex]yd^2[/tex]
What is the relationship between the ratios? 10/24 and 5/12 Proportional Not proportional (the numbers are fractions)
Answers
Answer:
Proportional
Step-by-step explanation:
[tex]\frac{10}{24}= \frac{5}{12}[/tex] the ratio is 2:1
5 x 2 = 10
12 x 2=24
The ratios are proportional.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
Answer:
The given ratios are proportional
Step-by-step explanation:
To consider the fractions as "proportional", they must be equivalent. Let us assume that the fractions are equivalent. Then, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
When using cross multiplication, we get;
[tex]\implies \dfrac{10}{24} = \dfrac{5}{12}[/tex]
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
When simplified, we get;
[tex]\implies 10 \times 12 = 24 \times 5[/tex]
[tex]\implies 120 = 120 \ \checkmark[/tex]
Therefore, the relationship is proportional.
The price of a ring was increased by 9% to £1800. What was the price before the increase? Give your answer to the nearest penny.
Answers
Price before increase 1800-9%*1800
=1638
I am so confused. Help.
Answers
[tex]\large\sf\underline{ANSWER:}[/tex]
√3
x is the length of the third side
x²+1² = 2² { Pythagorean Theorem}
x²+1 = 4 {Simplify}
x²=3 {Subtract 1 from each side}
x=√3 {Take the square root of each side}
The Length of the third side is √3
#[tex]\large\sf\underline{CarryOnLearning}[/tex]
-4x - 8 = -(5x + 3) pleasee
Answers
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
Simplify the equation
X^2 +x
Answers
x^2 + x
---Both of these terms both contain an x, which means we can factor out one x.
x(x + 1)
Simplified: x(x + 1)
Hope this helps!
Find the area of the trapezoid
Answers
2h=42+36
2·24=936
(25 pts!!! help needed asap) x2y3z Write the expression in exponential form. A) x2yz4 B) x6y7z4 C) x 1 2 y 3 4 z D) x 1 2 y 3 4 z 1 4
Answers
Answer:
D
Step-by-step explanation:
Given expression :
[tex]\sqrt[4]{x^{2}y^{3}z }[/tex]Solving :
A number with the 4th root is the same as a number raised to the power 1/4[tex](x^{2})^{1/4}(y^{3})^{1/4}(z)^{1/4}[/tex][tex]x^{\frac{1}{2}} y^{\frac{3}{4}}z^{\frac{1}{4} }[/tex] [Option D]Answer:
D [tex]\sf x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
Step-by-step explanation:
[tex]\sqrt[4]{\sf x^2y^3z}=\sqrt[4]{\sf x^2y^3z^1}[/tex]
Apply the Radical Product Rule [tex]\sqrt{\sf ab} =\sqrt{\sf a}\sqrt{\sf b}[/tex] :
[tex]\implies \sqrt[4]{\sf x^2}\sqrt[4]{\sf y^3}\sqrt[4]{\sf z}[/tex]
Apply fractional exponent rule [tex]\sqrt[n]{\sf a^m} = \sf a^{\frac{m}{n}}[/tex] :
[tex]\sf \implies x^{\frac24} y^{\frac34} z^{\frac14}[/tex]
Simplify:
[tex]\sf \implies x^{\frac12} y^{\frac34} z^{\frac14}[/tex]
How do you solve the Goldbach's Conjecture?
Answers
Answer:
Every integer greater than 5 can be written as the sum of three primes.
Step-by-step explanation:
Every integer greater than 5 can be written as the sum of three primes.
A bag contains 12 toffees. Kate eats 3 toffees and Josh eats 4 toffees.
What fraction of the toffees are left?
Answers
Answer:
5/12
Step-by-step explanation:
3 + 5 = 7
12/12 - 7/12 = 5/12
Answer:
total toffees=12
remaining toffees=12-(4+3)
=12-7
=5
fraction of toffees left
= 5/12
Simplify: 5x3+3x2−(−x−6x2)+4x−x2
Answers
Answer: 33 plus 3x
Step-by-step explanation: simplified it
Answer:
The answer is 5x3+8x2+5x
Step-by-step explanation:
A giraffe runs at a rate of 32 miles per hour. Which equation models the situation?
h = time spent running, in hours
d = distance run in miles
32h = d
32d = h
h = 32 + d
h = 32 – d
Answers
Think also about the speed = distance / time equation
In this case rate basically means speed
Answer: 32h = d because when you rearrange you will get d/h = 32 where distance over hours = speed which in this case is 32 mph
Answer:
32h=d
Step-by-step explanation:
yea, this is big brain time lol
also edge lol
Please help me with this please and thank you
Answers
(-2,1)
-1,2
0,4
1,8
2,16
the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?
Answers
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
alice will have 5067 seconds,
bob will have 11400 seconds
chandra will have 7600 seconds.
first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.
please rate and mark as brainlest.
PLEASE HELP
Which is the graph of f(x) = 1/4 (4)x?
No links
Answers
Answer:
3rd
Step-by-step explanation:
Answer: graph 3
Step-by-step explanation:
the standard form of a linear equation is the form ______________
Answers
Answer:
Ax+By=C
Step-by-step explanation:
:)