Answer:
The answer is below
Step-by-step explanation:
Acceleration is the time rate of change in velocity. Acceleration is given by:
Acceleration = change in velocity / time taken
Acceleration = (final velocity - initial velocity) / time
1) The Ferrari is from rest, hence initial velocity = 0. The final velocity = 100 km/h = [tex]\frac{100\ km*1000\ \frac{m}{km} }{1\ hr*\frac{3600\ s}{1\ hr} } =27.78\ m/s[/tex], time = 5 s
Acceleration = (0 - 27.78) / 5 = 5.56 m/s²
2) The car has initial velocity = 10 m/s. The final velocity = 10 m/s since velocity is constant. time = 20 s
Acceleration = (10 - 10) / 20 = 0 m/s²
3) The ball has initial velocity = 12 m/s. The final velocity = 0 m/s since it stops. time = 36 s
Acceleration = (0 - 12) / 36 = -0.33 m/s²
The diagram shows two squares constructed on the sides of a rectangle. Write an expression for the area of Square C in terms of the areas of Square A and Rectangle B. Then simplify to find the area. (N RN.1.1-2 HELP PLSSS
Step-by-step explanation:
Since area of Square A = 7 ft²,
Side length of Square A = √7 ft.
Length of Rectangle B = √7 ft
Width of Rectangle B = 4/√7 ft
Hence Area of Square C
= (4)² / (√7)² ft² = 16/7 ft².
The area of Square C is the square of the height of the Rectangle B.
Correct responses:
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(Area \ of \ Rectangle \ B \right)^2}{Area \ of \ Square \, A} }[/tex][tex]Area \ of \ square \ C = \underline{\dfrac{16}{7}} \, ft.^2[/tex]Methods used for finding the area of Square CThe given area of square A = 7 ft.²
The given area of rectangle, B = 4 ft.²
Let s represent the side length of square C and let S represent the side length of square A, we have;
Area of rectangle B = S × s = S·s
Area of square A = S × S = S²
Area of square C = s × s = s²
[tex]\mathbf{\dfrac{(Area \ of \ rectangle \ B)^2}{Area \ of \ square \ A } } = \dfrac{\left(S \cdot s \right)^2}{S^2} = \dfrac{S^2 \cdot s^2}{S^2} = s^2 = Area \ of \ square \ C[/tex]
Therefore, the expression for the area of Square C in terms of the area
of Square A and Rectangle B is presented as follows;
[tex]\underline{Area \ of \ Square \ C = \dfrac{ \left (Area \ of \ rectangle \ B \right)^2}{\left(Area \ of \ square \ A\right)}}[/tex]Which gives;
[tex]\underline{Area \ of \ square \ C = \dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}}[/tex]By simplification, we have;
[tex]\mathbf{\dfrac{\left(4 \, ft.^2 \right)^2}{7 \, ft.^2}} = \dfrac{16}{4} \, ft.^2[/tex]
[tex]Area \ of \ square \ C = \underline{ \dfrac{16}{7}} \, ft.^2[/tex]Learn more about squares and rectangles here:
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What is the value of the expression?
Answer:
2/0 or infinity
Step-by-step explanation:
What is the slope of the line shown below?
10+
(3,9)
O
A. -6
(-4, 2)
B. 6
-10
10
C. 1
O
D. -1
10
SUBMIT
Answer:
C. 1
Step-by-step explanation:
Use the formula to find slope:
(y2-y1)/(x2-x1)
Plug in the numbers you have.
(9 - 2)/(3 - -4)
7/7
1
Slope of the line shown below is option C. 1
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given is a line.
Slope must be positive since the line is drawn in the positive direction.
Consider two points along the line.
Consider (-4, 2) and (3, 9).
Slope = change in y coordinates / change in x coordinates
= (9 - 2) / (3 - -4)
= 7 / 7
= 1
Hence the slope is 1.
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Please help I suck at this kind of math
I really only need help with number three but if you could do it ll that would be awesome
On the coordinate plane shown below, points G and I have coordinates (6,4) and (3,2), respectively.
1 Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points G and I on a coordinate plane. Use complete sentences to describe the strategy.
2 Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
3 Use the distance formula and the coordinates of points G and I to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
I am sorry, I am only in middle school... I am learning about like the questions I have been asking
Step-by-step explanation:
I really hope you get the question answered and get it correct
there are 36 playing tag at recess. this is 6 times as many playing hopscotch. which model shows this comparison?
i got the top one to the left (checking my answer)
Answer:
The top left one is correct.
Step-by-step explanation:
We can rewrite this as an algebraic expression simply so it's easier to read.
Let's say hopscotch is [tex]h[/tex]. Tag is 6 times [tex]h[/tex], or [tex]6h[/tex].
That means for every 1 unit of hopscotch, there are 6 units of tag.
The top left one is correct.
Two hoses are used to fill a swimming pool. Together they fill the pool at a rate of 3 gallons every 5 seconds. An equation representing this isg=35t,where t is the time in seconds and g is the number of gallons. About how many hours will it take to fill the pool if it holds 80,000 gallons?
Answer:
about 267 hours
Step-by-step explanation:
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays. During one week she worked 36 regular hours plus 8 holiday hours.
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Rita is a nurse her regular rate is $14.62 per hour. She is paid double-time (two times the hourly rate) for holidays.
Then the amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be
⇒ $14.62 x 36 + $14.62 x 2 x 8
⇒ $526.32 + $233.92
⇒ $760.24
The amount of money when she worked one week she worked 36 regular hours plus 8 holiday hours will be $760.24.
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hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
Can someone help me
With this ? Thanks so much
Answer:
The 2nd one should be right
Step-by-step explanation:
prove me wrong
Two six-sided dice are rolled. Find the probability of rolling the same number twice.
Answer: please 2.9
Step-by-step explanation:
I think
Answer:
1/36
Step-by-step explanation:
The probability of rolling a specific number twice in a row is indeed 1/36, because you have a 1/6 chance of getting that number on each of two rolls (1/6 x 1/6). The probability of rolling any number twice in a row is 1/6, because there are six ways to roll a specific number twice in a row (6 x 1/36).
Hope this helps
Write the ratio 21 wins to 9 losses as a faction in simplest form.
Answer: 7/3
Step-by-step explanation:
Divide both by 3
21/ 3 = 7
9 / 3 = 3
You get 7/3. Hope that helps!
Why?
3. At what point on the curve x3 – y2 + x2 = 0 is the tangent line vertical?
(A) (0,0) only
(B)
(-1,0) only
(C) (1, sqrt2) only
(-1,0) and (0,0)
(E)
The tangent line is never vertical.
A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees responding, 60 percent answered "yes" to a certain yes-no question and 72 employees did not answer that question. How many employees answered "no" to this question?
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill. If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk?
Given :
Xinran walks 3 mi/h uphill, 4 mi/h on flat land and 5 mi/h downhill.
To Find :
If he walks one mile uphill, then one mile on flat land and then returns by the same route to his starting point, how many minutes does he walk.
Solution :
Time taken to walk one mile uphill is :
[tex]t_1 = \dfrac{1}{3}\ hours[/tex]
Time taken to walk two mile on flat land( one on going and one or returning ) is :
[tex]t_2 = \dfrac{2}{4}\ hours\\\\ t_2 = \dfrac{1}{2}\ hours[/tex]
Time taken to walk one mile downhill is :
[tex]t_3 = \dfrac{1}{5}\ hours[/tex]
Total time taken :
[tex]T = t_1 + t_2 + t_3 \\\\T = \dfrac{1}{3} + \dfrac{1}{2}+\dfrac{1}{5}\\\\T = \dfrac{10 + 15 + 6}{30} \\\\T = \dfrac{31}{30}\ hours = \dfrac{31}{30}\times 60 \ minutes\\\\T = 62\ minutes[/tex]
Therefore, time taken un 62 minutes.
You have to read 36 pages for your history class tonight. If you read 1 page every two minutes, how long will it take you to read the assigned pages?
Answer:
72 minutes or 1 hour and 12 minutes
Step-by-step explanation:
36(2)=72
Tom bought a pen for $30
and sold it to gain
20% on his cost price. How much money
did he gain?
Answer:
he gained 6 dollars
Step-by-step explanation:
30 x 0.2
Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Lets suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
It is given that Tom bought a pen for $30 and sold it to gain 20% on his cost price.
Therefore,
30 x 20%
30 x 0.2 = 6 dollars
Thus, he gained 6 dollars.
Hence, Tom bought a pen for $30 and sold it to gain 20% on his cost price that he gained 6 dollars.
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Kim has a bag with 4 blue marble, 4 black marble, 7 orange marbles, 2 red marbles, 6 yellow marbles, and 1 pink marble.
P(pink OR red)?
A. 12.5%
B. 0.89
C. 1 1/4
Convert 8% to a fraction/mixed number and a decimal. Select all that apply.
Answer:
hope this helps :)
Step-by-step explanation:
Decimal - 0.008
Simplifed fraction -- 2/25
Answer:
[tex]8\% = \frac{2}{25} in \: fraction \\ 8\% = \frac{8}{100} = 0.08 \: in \: decimal[/tex]
what is 0.47 of £1 as pound sign
Answer:
In the Unicode standard, the symbol £ is called POUND SIGN, and the symbol ₤ is the LIRA SIGN.
Cost of shoes $29.95
Markup: 20%
What is the new cost?
New cost = original price x (1 + markup)
New cost = 29.95 x ( 1 + 0.20)
New cost = $35.94
Is the following table proportional or non-proportional?
Answer: Proportional
Step-by-step explanation: 8 goes into 36, 2 goes into 24, and 5 goes into 10
Karen purchased a DVD player on sale. The original selling price was $171.50. The sale price was $149.37.
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.
Answer:
2
Step-by-step explanation:
if you multiply 2 by 3=6
2×2=43×3=9Answer:
B: Using the table,multiply 2 and 1 both by 3
Step-by-step explanation:
Just took the quiz on Edge 2021
Simplify:
3 [23 + (4 – 2)3 – (6 - 2)2]
A. 3
B. 12
D. 24
E-3
Answer:63
Step-by-step explanation:
the product of 2 and the difference of a number and 9
Answer: 2(x-9)
Step-by-step explanation:
A right cone has a radius of 13 cm and a slant height of 20 cm. Find its surface area.
Question 12 options:
A)
10,618.6 cm2
B)
816.8 cm2
C)
1,347.7 cm2
D)
3,539.5 cm2
Answer:
[tex]A=1347.7\ cm^2[/tex]
Step-by-step explanation:
Given that,
Radius of a cone, r = 13 cm
Slant height of the cone, l = 20 cm
We need to find the surface area of the cone. The formula for the surface area of the cone is given by :
[tex]A=\pi rl +\pi r^2[/tex]
Put all the values,
[tex]A=\pi r(l + r)\\\\A=\pi \times 13(20 + 13)\\\\A=1347.7\ cm^2[/tex]
So, the surface area of the cone is [tex]1347.7\ cm^2[/tex].
Cooper invested $1,100 in an account paying an interest rate of
3.8% compounded daily. Assuming no deposits or withdrawals are
made, how much money, to the nearest cent, would be in the
account after 10 years?
Help plzzzxx!!
Answer:
$1608.48
Step-by-step explanation:
A = P(1 + r/n)^nt
P: 1100 3: 3.8% / year n: 365/year t: 10 years
A = 1100 (1 + 0.038/365)³⁶⁵*¹⁰ = 1608.48
Solve for please X/2+6=-2
Answer:
x = -16
Step-by-step explanation:
The value of coin a is triple the value of coin b.together the total value of thebtwo coins is $48.00. What is the value of each coin
what is 14/100 as decimal need answers asap!!!
Answer:
0.14 is the answer as it is out of 100
Step-by-step explanation:
14/100
/100 as a decimal= 0.00
14/100 = 0.14
