Answer:
1. 17.73 or 17 [tex]\frac{11}{15}[/tex] or [tex]\frac{266}{15}[/tex]
2. 5.32 or 5[tex]\frac{61}{188}[/tex] or [tex]\frac{1001}{188}[/tex]
Step-by-step explanation:
Each one is correct trust me ;)
To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical
mass is dropped onto the mat from a height of 1 m above the mat. During the impact,
the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to
only 4 cm thick.
a. How much kinetic energy does the cylinder have at the instant just before it
contacts the mat?
b. How much work does the mat do to stop the fall of the cylinder?
c. What average vertical force does the mat exert on the cylinder during the impact,
from contact until the cylinder’s vertical velocity is zero?
Answer:
A)196J
B)-208J
C)3467J
Step-by-step explanation:
We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.
So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m
a)
Using Conservations of energy
Potential energy at the top = Kinetic energy at the point before touching the surface
Kinetic energy = mgh= [tex]20 \times 9.8 \times 1 = 196 J[/tex]
b)
Work done by the mat do to stop the fall of the cylinder =[tex]-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J[/tex]
C)
Work done=[tex]\text{Average force} \times \text{ Compression of mat}[/tex]
[tex]208=F \times 0.06[/tex]
F=3467J
two years ago, a car was valued at $24000. This year, the value of the car is $23160. What was the percent decrease in the value of the car
Answer:
Step-by-step explanation:
idek
Can someone help me answer these
Answer:
question 7: irrational.
Question 8: rational.
Step-by-step explanation:
A television with a price of $300 is to be purchased
with an initial payment of $60 and weekly payments
of $30. Which of the following equations can be used
to find the number of weekly payments, w, required
to complete the purchase, assuming there are no
taxes or fees?
Answer:
8 weeks
Step-by-step explanation:
300-60= 240
240/30= 8
Select three standard units of the metric system.
liter
meter
centimeter
cubic centimeter
gram
kilogram
liter, meter, and the last one is either gram or kilogram
PLEASE ANSWER STEP BY STEP
TRAVEL On a map of Texas, the distance between Dallas and Houston is 4.8 inches. If 1 inch = 50 miles, what is the distance between the two cities?
Multiple choice question.
A)
96 miles
B)
104 miles
C)
240 miles
D)
250 miles
The distance between the two cities Dallas and Houston is 240 miles
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given that:
1 inch = 50 miles
Hence:
4.8 inches = 4.8 inch * 50 miles per inch = 240 miles
The distance between the two cities Dallas and Houston is 240 miles
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Jamal has some baseball cards, and his brother has 1/3 as many as Jamal. Together, they have 36. How many cards does Jamal have?
Answer:
27 cards
Step-by-step explanation:
We write the equation:
J + (1/3 x J) = 36
4/3 x J = 36
J = 36 x 3/4 = 27
For every line there can exist a coplanar parallel line. true or false?
Answer:
T
Step-by-step explanation:
Solve 2 2/5 - 1 1/2 .
Answer:
9/10
Step-by-step explanation:
2 2/5 - 1 1/2
Get a common denominator of 10
2 2/5 *2/2 = 2 4/10
1 1/2 *5/5 = 1 5/10
2 4/10 - 1 5/10
Borrow from the 2 as 10/10
1 + 10/10 +4/10 - 1 5/10
1 14/10 - 1 5/10
9/10
How do you round 1.9046 to the nearest thousandth.
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For
the first three hours of typhoon, the rain fell at a constant rate of 25mm per
hour.
The typhoon slows down for an hour and started again at a constant rate of 20 mm
per hour for the next two hours. Write a piecewise function that models the amount
of rainfall as function of time.
Answer:
The answer is below
Step-by-step explanation:
Let t represent the time in hour and A(t) represent the amount of accumulating rainfall at time t.
In the first three hours the rain fell at a constant rate of 25mm per
hour, hence:
A(t) = 25t 0 ≤ t ≤ 3
The rain then slows down and remains constant at 75 mm [i.e. 25(3)] for an hour.
The rain increases at a rate of 20t from 4 ≤ t ≤ 6. Hence the piecewise equation is given as:
[tex]A(t)=\left \{ {{25t\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 3} \atop {75\ \ \ \ \ \ \ \ \ \ for\ 0\leq\ t\ \leq\ 6 \atop {75+20(t-4)\ \ for\ 4\ \leq\ t\ \leq\ 6}} } \right. \\\\\left[/tex]
It is a fraction with a whole number and proper fraction.
Jason left home for school at 7:30 a.m. and arrived at school at 8:35 a.m. how long did
solve this
- 7x - ( - 15y) - ( - 2x) + ( - 6y)
Answer:
-7x+15y+2x-6y
-5x+9y
Step-by-step explanation:
Answer:
-7x - ( -15y ) - ( - 2x) + ( -6y )
=> -7x + 15y + 2x - 6y
=> ( -7x + 2x ) + (15y - 6y)
=> -5x + 9y
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
URRRRRGGGGEEENNNNTTTTT!!!!!!
Step-by-step explanation:
Well you have to find two points on the line like points (0,2) and (2,-2)
Then you do y2-y1/x2-x1
You should be able to know what answer it is now!
Hope this helps <3
A box of books has 12 fiction and 14 nonfiction books in it. Determine the odds in favor of you selecting a fiction book from the box.
Answer:
Odds in favor(Fiction book) = 6 / 13
Step-by-step explanation:
Given:
Number of fiction books = 12
Number of non-fiction books = 14
Find:
Odds in favor(Fiction book)
Computation:
Odds in favor(Fiction book) = Number of fiction books / Total books
Odds in favor(Fiction book) = 12 / (12+14)
Odds in favor(Fiction book) = 12 / 26
Odds in favor(Fiction book) = 6 / 13
describe the normal distribution shape in your own words. feel free to use examples that are normal or irregular.
Answer: see below
Step-by-step explanation:
A normal distribution is shaped like a negative parabola → ∩
The midpoint of the parabola is the median and represents 50% of the data.
Therefore, there is equal distribution to the left and to the right of the 50% mark.
Answer:
Normal distributions are symmetric and the mean, medium, mode. The shape of used is a bell curve. We can also use normal distributions for the height, weight.
is 1,569 divisible by 9
Answer:
Yes the answer is 179 remainder 3
Answer:
no
Step-by-step explanation:
hope this helped!
p.s it would be cool if you gave me brainliest.
5
What are the coordinates of the image?
Rx-axis (-5, 3)
Answer:
Hey! The answer is (-5,-3)!!
Step-by-step explanation:
Question 7 of 10
If h(x) = (fºg)(x) and h(x) = Vx+5, find g(x) if f(x) = (x+2.
Answer here
Answer:
g(x) = x + 3
Step-by-step explanation:
A composite function is a function that is written inside another function which means substituting one function into another function.
Ex: (fоg)(x) is a composite function, where x of f(x) is substituted by g(x)
∵ h(x) = (fоg)(x)
∵ [tex]h(x)=\sqrt{x+5}[/tex]
∵ [tex]f(x)=\sqrt{x+2}[/tex]
→ Substitute x of f(x) by g(x)
∴ (fоg)(x) = [tex]\sqrt{g(x)+2}[/tex]
→ Equate (fоg)(x) by h(x)
∴ [tex]\sqrt{g(x)+2}=\sqrt{x+5}[/tex]
→ Cancel the roots from the two sides
∴ g(x) + 2 = x + 5
→ Subtract 2 from both sides
∴ g(x) + 2 - 2 = x + 5 - 2
∴ g(x) = x + 3
3. At an awards ceremony. 90 people are seated at 15 tables. If
there are the same number of people seated at each table, use
the ratio table to determine the number of people seated at each
table.
Answer:
5
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
HELP ME WILLING TO PAY AND HAVE DONE TO OTHERS!
if freya makes 2 of her 5 free throws in a basketball game what is her free throw shooting percentage ?
a. 20%
b. 40%
c. 80%
d. 90%
Answer:
40
Step-by-step explanation:
100 /5 = 20
20*2= 40
40%
Help me solve this what is 3 divided by 4.236
Answer:
3/4.236=0.70
Step-by-step explanation:
A bus makes 28 stops every 2 hours. How many stops does it make in 3 hours? in 4 hours?
Answer:
it make 42 stops in 3 hours and in 4 hour it would have made 56 stops in 4 hours
Step-by-Step
my explanation would be so you said 3 hours so take half of 28 and add 14 and 28 together would be 42 and in 4 hours it would have made 56 stops
Select all polynomial expressions that are equivalent to 6x^4+4x^3-7x^2+5x+8
Complete question is;
Select all polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8.
A. 16x^(10)
B. 6x^(5) + 4x⁴ – 7x³ + 5x² + 8x
C. 6x⁴ + 4x³ - 7x² + 5x + 8
D. 8 + 5x + 7x² - 4x³ + 6x⁴
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Answer:
Options C & E
C. 6x⁴ + 4x³ - 7x² + 5x + 8
E. 8 + 5x – 7x² + 4x³ + 6x⁴
Step-by-step explanation:
To find the polynomial expressions that are equivalent to 6x⁴ + 4x³ – 7x² + 5x + 8 simply means that both polynomials must have identical signs, identical number of terms and identical terms.
Now, by inspection of tall the options, we can see that options C & E are equivalent to the initially given polynomial.
For option C: 6x⁴ + 4x³ - 7x² + 5x + 8
This expression is the exact same thing as what was given in the question.
For option E: 8 + 5x – 7x² + 4x³ + 6x⁴
Rearranging this gives;
6x⁴ + 4x³ - 7x² + 5x + 8
Again this is exactly the same expression given to us in the question.
Write in standard form (4x10)+(3x1)+(7x1/10+(6x1/100)
9514 1404 393
Answer:
43.76
Step-by-step explanation:
Add up the terms:
4×10 +3×1 +7×1/10 +6×1/100
= 40 +3 +0.7 +0.06
= 43.76
_____
If you're in a part of the world where "standard form" and "scientific notation" are the same thing, then this would be ...
4.376×10¹
Celia writes the addition problem shown.she says she can tell which sum will be greater without adding.how does she know?
The sum of 5157 + 519 will be greater because she knows that 519 > 364.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Let's say two sum
x + y and x + z
If we want to calculate which is bigger then we need to look to y and z since x is common in both.
If y > z then x + y will be bigger and if z > y then x + z will be bigger.
Given the sum,
8157 + 364 and 8157 + 519
Now since 519 > 364 so (8157 + 519 ) > (8157 + 364)
Hence "The sum of 5157 + 519 will be greater because she knows that 519 > 364".
For more information about summation,
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The given question doesn't have a numeric value, The numeric values are
8157 + 364 and 8157 + 519
Friday’s high temperature was −1°C. The low temperature was −5°C. What was the difference between the high and low temperatures?
Answer:
-4C
Step-by-step explanation:
-1 (-4) = -5
is this a linear or non linear function?
Answer:
Linear I believe.
Step-by-step explanation: