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9. A car is traveling in a straight line path at a maximum speed of 7.00 m/s. The
driver of the vehicle applies the brakes bringing the car to a stop after traveling
10.0 m. What is the magnitude of the car's acceleration to the nearest
hundredths place?
Answer:
30mph
Step-by-step explanation:
The magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex] and this can be determined by using the equation of kinematics.
Given :
A car is traveling in a straight-line path at a maximum speed of 7.00 m/s.The driver of the vehicle applies the brakes bringing the car to a stop after traveling 10.0 m.According to the kinematics:
[tex]\rm v = u + at[/tex] --- (1)
where v is the final speed, u is the initial speed, a is the acceleration and t is time.
Now, put the known terms in equation (1).
0 = 7 + at
at = -7
[tex]\rm t = -\dfrac{7}{a}[/tex] --- (2)
From the kinematics the displacement is given by the equation:
[tex]\rm S =ut+\dfrac{1}{2}at^2[/tex]
Now, put the values of u, S, and t in the above equation.
[tex]10=7\times \dfrac{-7}{a}+\dfrac{1}{2}\times a \times \dfrac{49}{a^2}[/tex]
Now, simplify the above equation.
[tex]10=-\dfrac{49}{a}+\dfrac{49}{2a}[/tex]
20a = -49
a = -2.45
So, the magnitude of the car's acceleration is 2.45 m/[tex]\rm sec^2[/tex].
For more information, refer to the link given below:
https://brainly.com/question/7590385
I'm a little confused.
(2y+14.6+3.8)-(34.8m+15.6+2y)
Answer:
5.6
Step-by-step explanation:
You most likely will end up putting it in slope form y=mx+b
(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms
(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m
2y-2y= 0
18.4 - 15.6= 2.8
34.8m -0 = 34.8m
2.8 + 34.8m ( I think we should further simplify)
so minus 2.8 on both sides
34.8m = -2.8(divide by 34.8 on both sides)
m = -7/87
Plug in
(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms
(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms
(18.4)-(12.8)= 5.6
2y-2y = 0
34.8(-7/87)= -2.8
18.4 - 12.8 = 5.6
I thought of a number, then divided it by another number, and got a result of a 7. Think of the possible values for my number and the number I divided it by. What number is impossible to divide by? What number can my original number not be?
Answer:
Possibilities are endless. It's impossible to divide by 0.
Your number can't be 0.
Step-by-step explanation:
^^^
k. 3 kg 924 g - 1 kg 893 g
Converting to grams:
Converting these values to grams will make them easier to subtract
3 kg 924 grams OR 3.924 kg = 3924 grams
1kg 893 grams OR 1.893 kg = 1893 grams
Subtracting:
Now that we have the values in grams, we will put them in their initial order and subtract them
3924 - 1893 = 2031 grams = 2.031 kg OR 2 kg 31 grams
What is the slope of the line?
Answer:
-1.5
Step-by-step explanation:
please help 25 point asap
Answer:
B
Step-by-step explanation:
Answer:
b) B,A,C
Step-by-step explanation:
A part manufactured by plastic injection molding has a historical mean of 100 and a historical standard deviation of 8. Find the value of the mean thickness required to make the probability of exceeding 101 less than 8%.
Answer:
The probability of thickness exceeding 101 is 0.4483.
Step-by-step explanation:
Let X denote the thickness of the part manufactured by plastic injection molding.
Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.
Compute the probability of thickness exceeding 101 as follows:
[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]
[tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]
Thus, the probability of thickness exceeding 101 is 0.4483.
ill give brainiest bros
how are we supposed to make a line plot
Answer:
Pic BelowStep-by-step explanation:
Hope this helps! <3
Solve the system by elimination:
-2x + 2y + 3z = 0
-2x - y + z = -3
2x+ 3y + 3z = 5
The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answer:
вы молодец и увас всё получилось
Use a calculator to find a value of θ between 0° and 90° that satisfies the statement. Write your answer in degrees and minutes rounded to the nearest minute.
csc(theta)= 4.1191
Answer:
[tex]\theta = 14.1\ degrees[/tex]
[tex]846\ minutes[/tex]
Step-by-step explanation:
Given
[tex]csc(\theta) = 4.1191[/tex]
Required
Solve for [tex]\theta[/tex]
[tex]csc(\theta) = 4.1191[/tex]
[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]
So, we have:
[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]
Invert both sides
[tex]sin(\theta) = \frac{1}{4.1191}[/tex]
[tex]sin(\theta) = 0.2428[/tex]
Take [tex]sin^{-1}[/tex] of both sides
[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]
[tex]\theta = sin^{-1}0.2428[/tex]
[tex]\theta = 14.0518577574[/tex]
[tex]\theta = 14.1\ degrees[/tex] --- approximated
Convert to minutes:
[tex]1\ degree = 60\ minutes[/tex]
So:
[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]
[tex]14.1\ degrees = 846\ minutes[/tex]
Suppose that minor errors occur on a computer in a space station, which will require re-calculation. Assume the occurrence of errors follows a Poisson process with a rate of 1/2 per hour. (a) Find the probability that no errors occur during a day. (b) Suppose that the system cannot correct more than 25 minor errors in a day, in which case a critical error will arise. What is the probability that a critical error occurs since the start of a day? Keep up to the 6th decimal place in your answer. (c) Suppose the error correction protocols reset themselves so long as there are no more than five minor errors occurring within a 2 hour window. The system just started up and an error occurred. What is the probability the next reset will occur within 2 hours?
Answer:
a
[tex] P(X = 0) = 0.6065 [/tex]
b
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
c
[tex] P(x \le 5 ) = 0.9994 [/tex]
Step-by-step explanation:
From the question we are told that
The rate is [tex]\lambda = \frac{1}{2}\ hr^{-1}[/tex] = 0.5 / hr
Generally Poisson distribution formula is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
Generally the probability that no error occurred during a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex][tex]P(X = 0) = \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]
=> [tex] P(X = 0) = 0.6065 [/tex]
Generally the probability that a critical error occurs since the start of a day is mathematically represented as
Here t = 1 hour according to question a
So
[tex]P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]
Hence
[tex]P(x \ge 25 ) = 1 - P(x < 25 )[/tex]
Here
[tex]P(x < 25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]
=> [tex]P(x < 25 ) = \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]
[tex]P(x < 25 ) = 0.6065 + \cdots + 6.0*10^{-32}[/tex]
[tex]P(x < 25 ) = 1.18 *10^{-33} [/tex]
Considering question c
Here t = 2
Gnerally given that the system just started up and an error occurred the probability the next reset will occur within 2 hours
[tex]P(x \le 5 ) = \sum_{n=0}^{5} \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]
=> [tex]P(x \le 5 ) = \frac{(0.5 * 2) ^ 0 e^{- 0.5 * 2 }}{0!} + \cdots + \frac{(0.5 * 2) ^ 5 e^{- 0.5 * 2 }}{5!}[/tex]
=> [tex]P(x \le 5 ) = \frac{1* 2.7183 }{1 } + \cdots + \frac{1 *2.7183 }{120}[/tex]
=> [tex]P(x \le 5 ) = 2.7183 + \cdots + 0.0226525[/tex]
[tex] P(x \le 5 ) = 0.9994 [/tex]
The width of a rectangle is 1 ft less than the length. The area is 30 ft2. Find the length and the width.
Answer:
the anwer is 5*6
Susan is buying supplies for a party. Spoons only come in bags of 12 and forks only come in bags of 22.
What is the least number of spoons and the least number of forks she can buy so that she has the same number of each?.
Answer:
The least number of spoons = 11 spoons
The least number of forks = 6 forks
Step-by-step explanation:
We are told in the question:
Spoons only come in bags of 12
Forks only come in bags of 22.
This is an LCM question, hence, we find the Multiples of 12 and 22
The first common multiple is found and this is the lowest common multiple.
Multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156
Multiples of 22:
22, 44, 66, 88, 110, 132, 154, 176
Therefore,
LCM(12, 22) = 132
The least number of supplies she can have is 132.
So therefore,
The least number of spoons = 132 ÷ 12 bags of spoons = 11 spoons
The least number of forks = 132 ÷ 22 bags of forks = 6 spoons.
6th grade math teehehheeheeheheheheehe
Answer:
i think it's the second one
Step-by-step explanation:
i am not sure if it is correct or not. i hope it helps!
A line that divides a circle into two equal halves is the?
Answer:
A bisector or angle
Step-by-step explanation:
An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.
Find the total amount of water that will leak in the first 24 hours if the leak is not fixed. Use the formula sn=a1-rn1-r and round to the nearest whole milliliter.
77+(1/2)^n-1
whats the formula?
Step-by-step explanation:
In 1-3, match each description with the correct graph. Not all graphs will be used.
1.
My graph is non-proportional with a negative y-intercept.
2.
My graph is proportional with a negative slope.
3.
My graph is non-proportional with a positive slope
Answer:
1. d
2. b
3. a
Step-by-step explanation:
1. d => "my graph is non-proportional with a negative y-intercept."
Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.
2. b => "My graph is proportional with a negative slope."
Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.
3. a => "My graph is non-proportional with a positive slope".
Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.
1 2/3 multiplied by -3 1/2
Answer: -5 5/6
Step-by-step explanation:
Convert each number into. 1 2/3 = 5/3 (1=3/3, so 3/3 + 2/3) and -3 1/2 = - 7/2
Then multiply the numbers
5/3 x -7/2 = -35/6 (5x7= 35 and 3x2= 6, negative because a negative times a positive is a negative)
Then simplify....6 goes into 35 5 times with 5 remaining, so -35/6 = -5 5/6
The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. Simplify the complex
fraction below to find the average rate at which the water level changed every week.
Given that,
The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,
[tex]R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}[/tex]
So, the average rate at which the water level changed every week is 1/2 inches/week.
which numerical pattern in nonlinear?
A. 3, 11, 19, 27,
B. 1, 3, 9, 27
C. 1, 4, 7, 10,
D. 2, 3, 4, 5
Answer:
I am going with B.1,3,9,27
Step-by-step explanation:
A,C and D the patterns are from addition ie. A +8, C+3 and D +1 but B it's ×3
I need a scale drawing of a house,2 inches:5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?
Answer:
8.5
Step-by-step explanation:
At a sale this week, a suit is being sold for $306 . This is a 15% discount from the original price.
What is the original price?
Answer:
260.1
Step-by-step explanation:15% of 306=45.9
306-45.9=260.1
Answer:
351.9
Step-by-step explanation:
x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.
I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.
Then I added the price it was sold..=306+45.9=351.9
Help me ...again please n ty
Answer: Number 5 is 60%
Step-by-step explanation:
Which statement best describes the graph of 2c - 5y=-25 and the graph of y= +5?
Answer:
To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.
2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.
y=52x + 5
The slope is 52 and the y-intercept is 5.
Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).
Step-by-step explanation:
Select all the possible (x,y) coordinates for the following linear equation y=3x+2
Answer:
x = 2/3
Step-by-step explanation:
To find x-intercept/zero, subtract y = 0
0 = 3x + 2
Move variable to the left-hand side and change its sign
-3 = 2
Divide both ides of the equation by - 3
x = - 2/3
Solution
x = - 2/3
Alternate form
x = - 0.6
Y = 3x + 4 Y = 3x + 7
Answer:
y-7/ 12y+3
Step-by-step explanation:
Graph the linear function
f(x)=3-6x
Answer:
The best thing to use is Desmos the graphing calculator then just take a screenshot.
Step-by-step explanation:
Hope this helps and have a great day!
Write the solution set of the given homogeneous system in parametric vector form. 0 where the solution set is x
Answer:
[tex]x_{1} + 3x_{2} + x_{3} = 0\\[/tex]
X = [tex]\left[\begin{array}{ccc}x_{1}\\x_{2}\\x_{3}\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5x_{3}\\-2x_{3}\\x_{3}\end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}5\\-2\\1\end{array}\right][/tex]
Step-by-step explanation:
Parametric vector form is the set of equation which form a line. The parametric equation is set and the vector matrix is formed based on the given equation. The solution set of x is found by equating the 0. It express a set of explicit independent variables.
Polynomial A: 4z + 724 - 7y+7
Polynomial B: 2.c + 12y - 12z - 7
What will be the coefficients for x, y, and z in the resulting sum?
Select all that apply.
-8
-5
-5
2
5
9
Asse
16
Sect
GO BACK
SUBMIT AND CONTINUE
284691-1307
Answer:
-8z +724 + 5y +2c
Step-by-step explanation:
Combine like terms
