From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.
From the information given, the formula for the height is given as:
h(t) = -16t² + v + h0
where,
h0 = 177
h(t) = 0
We'll put the values back into the formula. This will be:
h(t) = 16t² + v + h0
0 = -16t² + 177
16t² = 177
t² = 177/16
t = 3.326
Therefore, the time taken will be 3.326 seconds.
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Rajesh gave ½ of his provident fund to his wife, ¼ to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000. What was the amount of provident fund ?
This is the number 80 thousand
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Explanation:
1/2, aka 2/4, of the original fund was given to his wife and 1/4 was given to his son. That totals 3/4 since 2/4+1/4 = (2+1)/4 = 3/4.
In short, 3/4 of the fund is distributed between the wife and son. That leaves 1/4 of the fund for the two brothers to share equally.
Imagine a cake cut into quarters. Then cut each slice in half to get eighths, i.e. there are 8 equal slices. This means each brother gets 1/8 of the fund.
Since each brother got Rs 10000, this must mean the original fund is worth 8*10000 = 80000
Taking 1/8 of Rs 80000 will get us Rs 10000 for each brother.
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Checking the answer:
original fund amount = 80000
1/2 of 80000 = 40000 is the amount the wife gets
1/4 of 80000 = 20000 is the amount the son gets
That totals 40000+20000 = 60000 leaving 80000-60000 = 20000 leftover for the two brothers to share. Cut that 20 thousand figure in half to arrive at Rs 10000 for each brother. These steps help confirm the answer.
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Another method using algebra:
x = original amount of the fund
W = x/2 = 2x/4 = half of the fund = amount wife gets
S = x/4 = quarter of the fund = amount the son gets
W+S = (2x/4) + (x/4) = (2x+x)/4 = 3x/4
W+S represents the sum of the wife's and son's amounts.
We'll subtract this from the original amount x to find out what's left
x - (W+S) = x - (3x/4) = (4x/4) - (3x/4) = (4x-3x)/4 = x/4
This shows that 1/4 of the fund is left over after distributing to the wife and son.
The amount x/4 is then cut in half to get x/8 to represent the amount each brother gets. We're told that amount is Rs 10000
So,
x/8 = 10000
x = 8*10000
x = 80000
The original fund is worth Rs 80000
Match each verbal description with the algebraic expression it represents.
Answer:
Brainly.com
Question
Match each expression to the correct verbal description.
Answer · 12 votes
(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed
On Tuesday, it snowed 15 inches in 6 hours. On Friday, it snowed 30 inches in 8 hours. On which day did it snow at a greater rate each hour? How much more per hour? please answer asap
Answer: Friday, 1.25 more per hour
Step-by-step explanation: if we take the inches it snowed and divide it by the hours, we get the rate of snowfall for one hour. 15/6=2.5 and 30/8=3.75
To get how much more we take the bigger snowfall per hour minus the smaller snowfall per hour 3.75-2.5=1.25
The original price of a DVD is $12. The sale price is 75% off the original price. Find the sale price of the DVD.
Answer:
9 lol
Step-by-step explanation:
comming from a highscholer its 12% of 12 =9
hope this helps
15 points!!! Please help with math
Answer:
(b) y -4 = 3(x -2)
Step-by-step explanation:
You are given the form
y -y1 = m(x -x1)
and the values
y1 =4, m =3, x1 =2
Putting these in their places gives ...
y -4 = 3(x -2)
i have questions up will mark brainliest
Answer:
what questions?
Step-by-step explanation:
HELP IM REALLY BEHIND ON MY MATH THE RIGHT ANSWER WILL GET BRAINLIEST
Answer:
N=3
Step-by-step explanation:
use cross multiplication to find 28N=84 and then divide both sides by 28 to get N=3
Answer:
N = 3
Step-by-step explanation:
Given Δ ABC is similar to Δ DEF , then the ratios of corresponding sides are in proportion, that is
[tex]\frac{AB}{DE}[/tex] = [tex]\frac{BC}{EF}[/tex] , substitute values
[tex]\frac{21}{N}[/tex] = [tex]\frac{28}{4}[/tex] = 7 ( multiply both sides by N to clear the fraction )
21 = 7N ( divide both sides by 7 )
3 = N
Find the value of x in the solution of the system y = -4x + 48
Answer:
x = 12
Step-by-step explanation:
y= -4x+48
0=-4x+48
4x=48
x=12
what is ur favorite character from boondocks mine is Riley freeman and also Huey freeman
Answer:lol
Step-by-step explanation:
what's 1+1 ???
enjoy!
Solve 5/4=y−1/4. i need help
Answer:
I don't know
Step-by-step explanation:
Zoe charges £9 per student to attend a dance class. There are y students in the class.
a . Write an expression for the total amount she charges for a class.
b. How much does she charge for 5 students?
c. How many students must she have in the class to make £72?
QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST
Answer:
Step-by-step explanation:
Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B
Does anyone know how to answer?
Answer:
A, D, F
Step-by-step explanation:
It is convenient to let a calculator or spreadsheet evaluate the function for you. Reflection over the y-axis means x is replaced by -x in the original function definition.
The values that show up on the reflected graph are ...
(-7, -10.206)
(0.5, -0.221)
(9, -0.003)
1308 evaluated khan academy
Answer: what? What’s the question?
Answer plz:
Show work also
Answer:
height 10area 240Step-by-step explanation:
The diagonal is the hypotenuse of the right triangle whose sides are the sides of the rectangle. The Pythagorean theorem applies.
height² + base² = diagonal²
height² +24² = 26²
height² = 676 -576 = 100
height = √100 = 10
__
The area is the product of the base and height.
A = bh
A = (24)(10) = 240
The height is 10 units; the area is 240 square units.
Jacob R. Scored a 25 on his quiz Last week. This week he scored a 70 on his quiz. By what percent did jacobs improve his grade?
Based on his score last week and his score this week, we can say that Jacob increased his score by 180%
Jacob scored 25 in his test last week and then this week scored 70.
The increase can be found as:
= (New score - Old score) / Old score x 100%
Solving gives:
= (70 - 25) / 25 x 100%
= 180%
In conclusion, Jacob increased by 180%
Find out more at https://brainly.com/question/22444616.
7. A cargo train covers 375 km in 15 hours. Find: b) time taken to travel 770 km.
Answer:
30 hours 48 minutes
Step-by-step explanation:
Using the relationship
average speed = [tex]\frac{distance}{time}[/tex] = [tex]\frac{375}{15}[/tex] = 25 Km / hour
Then
time = [tex]\frac{distance}{speed}[/tex] = [tex]\frac{770}{25}[/tex] = 30.8 hours = 30 hours 48 minutes
Answer:
30.8 or 30 hours and 48 mins
Step-by-step explanation:
375 km > 15 Hours
Divide 375 and 15, equals to 25.
So, to proof that 375 is equals to 15 hours, divide 375 and 25 then you will get the answer 15. :)
Now, divide 770 and 25 to get the time taken to travel 770km.
And the answer is 30.8 hrs or... 30hrs and 48mins
Welcome ;)
A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 2730 in3, what were the original dimensions of the piece of metal?
What is the original width? in
Answer:
Here you go
Step-by-step explanation:
24 original width
49 original length
Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take
Answer:
Step-by-step explanation:
2005 AMC 8 Problems/Problem 20
Problem
Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?
$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$
Solution
Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.
See Also
2005 AMC 8 (Problems • Answer Key • Resources)
Preceded by
Problem 19 Followed by
Problem 21
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25
All AJHSME/AMC 8 Problems and Solutions
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.
A. (7)
Write an equation of a line that is perpendicular to y = 2/3 X + 8 and has a y-intercept of
2.
Answer in slope-intercept form
B. and write the following equation in slope intercept form y + 21 = x - 15
One minute is (60,12,50,100 pick one ) times as long as ( one hour or one second)
Answer:One minute is 60 times as long as one hour i guess?
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
Determine the equation of the line for the given information: The graph has y-intercept (0, 6) and contains the point (2, 1). a. y = 2.5 x + 6 b. y = negative 2.5 x + 6 c. y = 6 x + negative 2.5 d. y = 2 x + 6 Please select the best answer from the choices provided A B C D
The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6
What is the Equation of the Line in Slope Intercept form?The general form of the equation of a Line in Slope Intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;
m = (y₂ - y₁)/(x₂ - x₁)
m = (1 - 6)/(2 - 0)
m = -5/2
m = -2.5
Now, since the y-intercept is at (0, 6), then it means that;
c = 6
Thus, the equation of the line is; y = -2.5x + 6
Read more about slope intercept form at; https://brainly.com/question/1884491
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merry christmas! my teachers gave me work. ill be happy if u help
HELP PLEASE!!! MARKING BRAINLIEST
Answer:
what you need to know is all lines equal up to 180
so basically it's 180 - 115
which is 65
comment down below if you need more explanation
Step-by-step explanation:
enter an algebraic expression for the word expression.
The quotient of -4 and y
Hey there!
Guide to follow
“Difference” means subtract
“Is” means equal to
“Product” means multiply
“Quotient” means divide
“Sum” means add
Answering your question….
“The [QUOTIENT] of [-4] and [y]
Remember we said “quotient” means divide
So we’re dividing -4 from y and that will be your answer.
Answer
-4 ÷ y
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Need help please
It will be good if I get the answer as soon as possible please and thanks
Answer:
B 71 & 71
Step-by-step explanation:
OP is an angle bisector
Answer:
B
Step-by-step explanation:
Since angles MOP and NOP are both labeled as 2x+1, they must both be equivalent. The only answer choice which shows them to be equivalent is B.
Verification:
(2x+1)+(2x+1)=142
4x=140
x=35
(substitution)
2(35)+1 = 71
need help with this asap………
Answer:
y= 32
Step-by-step explanation:
HOPE THIS HELPS :)
Which equation has a solution of 34 for y?
Select all the correct answers.
A.8y=9
B.y−1=−14
C.4y=6
D.7−y=614
E.12y=9
F.214+y=4
Answer:
The answer is I don't know