The change in kinetic energy of the car is -83439.06 joules.
How to find change in kinetic energy?The change in kinetic energy of an object is equal to the final kinetic energy minus the initial kinetic energy.
Since the car comes to rest after hitting the tree, its final kinetic energy is 0.
The initial kinetic energy of the car can be calculated using the formula KE = 1/2 m v², where KE is the kinetic energy, m is the mass of the object, and v is the velocity.
Plugging in the values, we get:
KE = 1/2 × 1622 kg × (11.3 m/s)²
KE = 1/2 × 1622 kg × 128.69 m²/s²
KE = 83439.06 kg m²/s²
To convert this value to joules, you can use the conversion factor 1 joule = 1 kg m²/s².
The change in kinetic energy of the car is equal to the final kinetic energy minus the initial kinetic energy, or 0 - 83439.06 kg m²/s² = -83439.06 kg m²/s².
Therefore, the car's kinetic energy dropped by -83439.06 joules.
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Lee buys a parcel of land in the shape of a rectangle. It has an area of 1,125 square feet and a width of 25 feet. What is the length of the parcel of land? Show your work.
Answer:
45 feet
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangle = 1,125 square feet
Length of the rectangle = x feet
Width of the rectangle = 25 feet.
What is the length of the parcel of land?
Area of a rectangle = length × width
1,125 = x * 25
1,125 = 25x
Divide both sides by 25
x = 1,125 / 25
= 45
x = 45 feet
The length of the parcel of land is 45 feet
1. You purchase a car using a $15,000 loan with a 5% simple interest rate.
(a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (10 points)
(b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work. ( 5 points)
Answer:
a) $3000
b) $1500
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 4
interest = 3000
b)
interest = Principal x rate as decimal x time
interest = 15,000 x 0.05 x 2
interest = 1500
you save $1500 if you pay after 2 years
The sixth root of (729x30 y 18 )?
I need HELPPPP!!!!! ASAPPPP
Answer:
<1 =100 (check explanation for why)
<2 = 80 (check explanation for why)
<3 = 100 (check explanation for why)
Step-by-step explanation:
You can get <1 from the given angle being a linear pair to <1, so:
180= 80+ <1
100= <1
You can get <2 from being a linear pair to <1, so:
180 = 100 + <2
80 = <2
You can get <3 from being a linear pair to <2
180 = 80 + <3
100= <3
Answer:
m<1= corresponding
m<2=vertical angle
m<3=consecutive interior angle
But i am not sure entirely.
6th grade math i mark as brainliest
Answer:
3x5 are factors of 75
Step-by-step explanation:
good day mate
Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.
Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.
mark as the brainliest
Hi Please help I have no idea what the answer is
Answer: 80
Step-by-step explanation:
100+80 =180
Answer:
The answer is 80° :)
Hope it helps you
Tommy decided to also make a sampler can with a diameter of 2 inches and a height of 3 inches. Tommy calculated that the area of the base was 4 pi inches squared, and multiplied that by the height of 3 inches for a total volume of 12 pi inches cubed. Explain the error Tommy made when calculating the volume of the can.
Answer:
Tommy used diameter instead of radius in calculationStep-by-step explanation:
Givend = 2 inchesh = 3 inchesTo findVolume of the canSolutionVolume formula:
V = πr²hCalculation
V =π(d/2)²h = π(2/2)²(3) = 3π in²Tommy's error is squaring the diameter instead of radius
Answer:
Sample response: Tommy used the diameter instead of the radius in the formula to find the area of the base. The diameter needs to be divided by 2 to find the radius. The correct area of the base is 1 pi square inches. The correct total volume is 3 pi cubic inches.
Step-by-step explanation:
please help!!???????
Answer:
a)
table:
[tex]\begin{array}{ccccc}&2&3&4\\0&2&3&4\\1&3&4&5\\2&4&5&6\\3&5&6&7\end{array}[/tex]
b) Count the number of occurrances:
i: There are 3 fours in the table of 12 outcomes, so the probability is 3/12 = 1/4
ii: There are 9 outcomes less than six in the table of 12 outcomes, so the probability is 9/12 = 3/4
iii: There are 3 outcomes of 6 or more in the table of 12 outcomes, so the probability is 3/12 = 1/4
If 8x – 4 = 6x – 10, find the value of 3x.
Answer:
-9
Step-by-step explanation:
8x-4=6x-10
2x-4=-10
2x=-6
x=-3
-3x3= -9
It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200
Answer:
300+200
Step-by-step explanation:
did not give a equation
Answer:
300 + 200x
Step-by-step explanation:
200 is the one that's changing so it has the x.
ms.ziesenis walked 1/4 of a mile in 1/2 of an hour. use multiplication to find the unit rate
Answer:
he would walk 1 mile in 2 hours
Step-by-step explanation:
which is very slow tbh
Write the recurring decimal 0.63as a fraction
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Question 3 OT 5
What is the simplified fractional equivalent of the terminating decimal 0.25?
A.5/2
B. 1/4
c.2/5
D. 25/100
Answer:
uhh
Step-by-step explanation:
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
Im in 7th Grade btw :/
Part B: Explain in words, what Clay should do to get his account balance to zero?
Answer:
Last week, Clay had a beginning balance of $60 in his account. He wrote 4 checks for $20 each from his checking account, withdrew another $30, and finally made a deposit of $96.
Part A: Write an expression and your answer to show his final account balance at the end of the week.
This is only ans...Of the 15 students in Danielle's class, 5 went to the zoo and the rest went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answer:
15:20=3:4
Step-by-step explanation:
Rewrite each linear equation in standard form. Then, state the values for A, B, and C.
0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______
Answer:
A = 9/100
B = -[1/100]
C = -[39/100]
Step-by-step explanation:
Given:
0.09x - 0.01y = 0.39
Find:
A,B,C
Computation:
Linear equation;
Ax + By + C = 0
So,
0.09x - 0.01y = 0.39
9x/100 - 1y/100 = 39/100
9x/100 - 1y/100 - 39/100= 0
So,
A = 9/100
B = -[1/100]
C = -[39/100]
the rectangle below is being enlarged by a scale factor of 3.5. what is the area of the new drawing?
Answer:
122.5^2
Step-by-step explanation:
3.5 x 2 = 7
3.5 x 5 = 17.5
7 x 17.5 =122.5 ft^2 (a=hl^2)
A square plot of land will be fully used for a square swimming pool with a 5 foot wide walkway around it. The area of the entire plot, including the walkway, is A square feet. Which expression gives the length of the pool?
Answer:
The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
Step-by-step explanation:
Assume that the length of the pool is x feet
∵ The length of the pool is x feet
∵ The wide of the walkway around the pool is 5 feet
∴ The total length of the pool with the walkway = (x + 5) feet
∵ The area of the entire plot, including the walkway, is A square feet
∴ The area of the entire plot, including the walkway = A feet²
∵ The area of the square = (length)²
→ Substitute the length by (x + 5)
∴ The area of the entire plot, including the walkway = (x + 5)² feet²
→ Equate it by A
∴ A = (x + 5)²
→ To find x take square root for both sides
∵ [tex]\sqrt{A}[/tex] = [tex]\sqrt{(x+5)^{2}}[/tex]
→ Cancel the square root of the right side by power 2
∴ [tex]\sqrt{A}[/tex] = x + 5
→ Subtract 5 from both sides
∵ [tex]\sqrt{A}[/tex] - 5 = x + 5 - 5
∴ [tex]\sqrt{A}[/tex] - 5 = x
→ x represents the length of the pool
∴ The length of the pool is [tex]\sqrt{A}[/tex] - 5 feet
∴ The expression that gives the length of the pool is [tex]\sqrt{A}[/tex] - 5
The length of the pool will be √A-10.
What is area?Area is defined as the total space taken up by a flat surface or shape of an object.
Given that, A square plot of land will be fully used for a square swimming pool with a 5-foot wide walkway around it. The area of the entire plot, including the walkway, is A square foot.
The area of a square is side².
Let the side of the walkway be (x+10)
A = (x+10)²
√A = x+10
x = √A-10
Hence, The length of the pool will be √A-10.
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HELP PLEASE. GIVEN AB, EXPLAIN HOW TO CONSTRUCT A SQUARE WITH SIDES OF LENGTH AB.
Answer:
all sides = AB
Step-by-step explanation:
all sides of a square is equal so if one is AB then the rest is AB too
2. Doug can row 3 1/2 miles in 1/4 hour. What
is his average speed in miles per hour?
SHOW WORK!
Answer:
14 miles
Step-by-step explanation:
He can row 3.5 miles in .25 hours.
If there are 60 mins in an hour. Take the .25 hour and times by 4 to get a whole hour.
Since 3.5 miles is for .25 hr, take the 3.5 times by 4 to get what he rows in a whole hour.
3.5*4= 14 miles.
what is 0.16(line over six) in reduced form
Answer:
1/6
Step-by-step explanation:
hope this helps.
Which expression is equivalent to (7^3)^−2?
Answer:
Step-by-step explanation:
We are missing the rest of the question.
However (7^3)^-2 would equal to 343^-2 which would equal to 1/117649 or 8.49985 * 10^-6.
If you break it down more:
7*7*7= 343 Take that to the -2 power is 1/117649 or 8.49985*10^-6
If none of these is part of your choice, please supply the choices and I can try to help some more.
write 50 cm as a fraction of 2 m
give your answers in its simplest form
Answer:
25c
Step-by-step explanation:
3x²+2x²+x-2 divided x+2
Answer:
3x^2-4x+9 remainder -20/x+2
Step-by-step explanation:
What is the measure of \large \angle V?
Answer:
THe interior angles of any triangle equal 180
THerefore 48+87+v=180
48+87+v=180
87+v=132
v=45
Step-by-step explanation:
Select the expressions that are equivalent to 6u + U.
7u
U times 7
40 + 2u + u
3u + 4u
Answer:
7u, U times 7, and 3u + 4u.
A 13-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?
The ladder reaches ___ feet up the wall (round to the nearest humdredth)
Answer:
12
Step-by-step explanation:
30 treadmills to 36 elliptical machines ratio simplest form
Answer:
5 to 6 or 5:6 or 5/6
Step-by-step explanation:
30/36 = 15/18 = 5/6
Answer:
5 treadmills to 6elliptical machines
Step-by-step explanation:
Function f is defined by the equation f (x) = x^2.
What is f (3)
PLZ HURRY
Answer:
f(3) = 9
Step-by-step explanation:
f(x) = x^2
f(3) means "When x is 3" So, we substitute x with 3.
f(3) = 3^2
f(3) = 3 x 3 = 9
f(3) = 9
If ABC is congruent to DBE find x
Answer:
x=44 degrees
Step-by-step explanation:
5y-4 has to equal 81 in order for the two triangles to be congruent.
The sum of the interior angles of a triangle is always 180 degrees.
81+51=132 degrees
180-132=48
x+4=48
x=48-4
x=44 degrees