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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Help please if you can
Your subtotal at the store was $58.89. You have a 30% off coupon. If the sales tax rate is 5.5%, what is the total price for your shopping trip?
Answer:
$43.48
Step-by-step explanation:
58.89x.30=17.68
58.89-17.68=41.21
41.21x.055=2.27
41.21+2.27= $43.48
Answer:
$43.49
Step-by-step explanation:
When you take of 30%, multiply by 0.7
When you add 5.5%, multiply by 1.055
Start with $58.89
Take off 30%: 0.7 * $58.89 = $41.22
Add 5.5%: 1.055 * $41.22 = $43.49
PLEASE HELP!! 15 POINTS!!!!
If a circle with a diameter of 4 inches rotates 1000°, what distance will any one spot on
its edge actually travel?
We first convert from degrees to radians multiplying by π/180:
θ = 1000° × π/180 = 17.45 rad
The radius is:
r = d/2 = 4 in /2 = 2 inch
So, The distance traveled is given by the product of the angle in radians and the radius. This is:
d = θr = (17.45 rad)(2 inch) = 34.9 inch
what's the answer to this quadratic equation
(x - 18)^2 = 1
Answer:
x=17 or x=19
Step-by-step explanation:
(x−18)^2=1
First, simplify both sides of the equation.
x*2−36x+324=1
Then subtract 1 from both sides.
x^2−36x+324−1=1−1
x^2−36x+323=0
Factor left side of equation.
(x−17)(x−19)=0
Then set factors equal to 0.
x−17=0 or x−19=0
x=17 or x=19
Answer:
Its either x=17 or x=19
Step-by-step explanation:
If we estimate that 10 people can fit in a 5ft by 5ft area, then what would be your estimate of how many people can fit on a basketball court measuring 94ft by 50ft?
Answer:
1,880 people will fit in 94 ft by 50 ft
Step-by-step explanation:
We can estimate this using the area
For 5 ft by 5ft ; 10 people can fit in an area of 5 * 5 = 25 ft^2
In an area of 94 ft by 50 ft, the number of people that can fit will be;
let’s start with the area
Area = 94 * 50 = 4,700 square feet
10 people will fit in 25 square feet
x people in 4,700 square feet
25 * x = 10 * 4700
25x = 47,000
x = 47000/25
x = 1,880 people
7 divided by 2, plus the product of −4 and a number s
Answer:
Answer at the bottom!!
Step-by-step explanation:
If you need equation:
7/2=3.5
3.5+(-4*s)=y
Hope this helps!!
What is true about the number of sides in any regular polygon that has at least one line of symmetry passing through two vertices?
Answers:
I found the answer. It's The number of sides are even.
Answer:
B
Step-by-step explanation:
Took the quiz
David is buying a television that is regularly priced at $450.The television is on sale for 20% off. Sales tax is 7%.Whicj expression will calculate the final price of the television.
Answer:
The final price of the television is $502.20.
Step-by-step explanation:
The information provided is:
CP = $450
d% = 20%
s% = 7%
Compute the final price of the television as follows:
[tex]SP=CP\times (1 + s\%)\times (1-d\%)[/tex]
[tex]=450\times (1+0.20)\times (1-0.07)\\\\=502.2[/tex]
Thus, the final price of the television is $502.20.
6-2x=5x-9x+12 what is the value of x
its for savvas realize
Answer:like terms: 5x + -9x = -4x 6 + -2x = -12 + -4x Solving 6 + -2x = -12 + -4x Solving for variable 'x'.
Step-by-step explanation:
6 - 2x = 5x - 9x + 18 - 12 6 - 2x = -4x + 6 -2x = -4x 4x - 2x = 0 2x = 0 x = 0 / 2 x = 0.
Answer:
x=3
Step-by-step explanation:
6-2x=5x-9x+12
6-2x=-4x+12
-2x+4x=12-6
2x=6
x=6/2
x=3
Use this new algebraic method to find equations for the line with the following properties:
A slope of −3, passing through the point (15,−50).
Show your work in the sketch box on the left.
Step 1: Substitute values for m, x, and y.
Step 2: Solve equation for b.
Step 3: Rewrite your equation with only m and b.
What is the equation of this line?
Answer:
Y = -3x + 90
Step-by-step explanation:
Y= Mx + b
M - (-3)
X - 15
Y - (-50)
Y = Mx + b
50 = (-3)(15) + b
50 = -45 + b
95 = b
Y = -3x + 90
Hope this helps
Change at least one number in the table so that it DOES represent a function.
Answer:
change 2 to 4
and 1 to 5
1 --> 5
2 --> 10
3 --> 15
4 --> 20
5 --> 24
Step-by-step explanation:
Function means you can have one input for evry one output
so you have to change the 2 and 1 to diffrent numbers like 4 and 5
so now evey imput has their own out put
befor input one it had 5 and 24
and input two had 10 and 20 but changing the number you get one for one
Neuma had a container that held of a kilogram of rainbow sprinkles. She divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. To determine the weight of each serving, Neuma performed the calculations below.
Answer:
Neuma should have only divided 9 by 9, not 54 by 9
Step-by-step explanation:
i hope it helps and is correct
Answer:
C is the answer
Step-by-step explanation:
A bicycle has a listed price of $811.98 before tax. If the sales tax rate is 7.5%, find the total cost of the bicycle with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
Step-by-step explanation:
811.98*7.5%= 60.898
811.98+60.898= 872.787 round to $872.79
Answer:
$872.88
Step-by-step explanation:
811.98 x 7.5%= 811.98 x 0.075
811.98 x 0.075= 60.90
811.98+60.90= 872.88
What is the slope of the line
Answer:
[tex]m=\frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from the graph.
Point (2, 0)
Point (5, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{5-2}[/tex]Subtract: [tex]m=\frac{-1}{3}[/tex]And we have our answer!
4. Ben spent $380 on food last month. If Ben's monthly income is $4000, what percent was spent on food? * VI
Answer:
9.5%
Step-by-step explanation:
Find the first three terms of the sequence below. T n = n 2 + 3 n + 4
Answer:
9,14,19
Step-by-step explanation:
You seem to be giving the expression 2n+3n+4.
Now simplify
An = 5n+4
Fill in n
5(1) +4
5(2) +4
5(3)+4
After solving and simplifying you see 9, 14 and 19 are the first 3 terms.
BRAINLIEST!!!!! PLEASE ANSWER!!!!!
Answer:
11/5
Step-by-step explanation:
the line goes up 11, and over 5, therfore the slope would be rise over run...so 11/5
Which expression is equivalent to 6(2u)?
(u + 2)6
6 + 2u
(20)6
U + 8
Answer:
There is no answer at all
Given:6(2u)=12u
(u + 2)6=12+6u
6 + 2u= 2u+6
(20)6= 120
U + 8 = u+ 8
Answer:
I would think it should be 6x2u. if u equals 10 then it would be (20)6
(2,-4); rotation 180 degrees
Answer:
(-2, 4)
Step-by-step explanation:
I need to know how to graph and use a table to solve for y=3x+0
Answer:
Step-by-step explanation:
On a table, you'd have two columns: one for your input(x) and one for your output(y). If given an x value, put it into the equation to solve for y, and if you have a y value, put it into the equation for x. You can also come up with your own x values and put them into the equation if you need to create a table from scratch I'm not sure what you're asking but this will help you fill in a table. Here's and example for this equation.
X Y
1 3
2 6
3 9
Graphs are pretty simple. Just find a value on the x-axis (horizontal), find the point on the line above or below this value, and look at what number it is for the y value. You can do this backwards if you need to find y when given x.
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:
Can someone answer this?
Answer:
I got you it
Step-by-step explanation:
B and have a good day
8 to the power of 2x=4 solve for x
Answer:
x = 1/3
Step-by-step explanation:
8^2x = 4
6x = 2
x = 1/3
Find angle YWX using the perpendicular or angle bisector method.
Answer:
x = 5
Step-by-step explanation:
9x - 28 = 5x - 8 (because Y and X are equal, and XZ and YZ are equal)
add 8 to both sides
9x - 20 = 5x
subtract 9x from both sides
-20 = -4x
divide 4x from both sides
5 = x
x = 5
The freezing point of helium is 0.95 Kelvin. What is this temperature in degrees Fahrenheit?
Answer:
-457.96
Step-by-step explanation:
Step-by-step explanation:
273.15 + °C = K
°C = K - 273.15
0.95K to °C = 0.95 - 273.15 = -272.2°C
°C to °F
(9/5 °C) + 32 = °F
(9/5 × -272.2) + 32 = °F
-489.96 + 32 = °F
= -457.96°F
please mark brainliest
Please help me someone
Answer:
Given: <1 + <2; Line AX = line BX
Prove: Line AC = BD
Step-by-step explanation:
Which statements must be true regarding the two
triangles? Check all that apply.
O ZM= ZM"
O ALMN – AL"M"N"
ALMN = AL"M"N"
The coordinates of vertex L" are (-3, 1.5).
The coordinates of vertex N" are (3,-1.5).
The coordinates of vertex M" are (1.5, -1.5).
Answer:
b
Step-by-step explanation:
its pretty simple if you look at it riggt
the ratio of 70 to 210
If you're looking for the lowest ratio for 70 to 210, it should be
1:3
70min=70×60=4200sec
ratio=4200/210
=210×20/210
=20/1
=20:1
Please someone help me with this question! :)
Thank you
Answer:
It's 26Step-by-step explanation:6+24=3017+24=4126+24=50***42+24=66