(a) The velocity when the particle reaches B is 8 m/s.
(b) The distance between point A and B is 5.33 m.
(c) The value of t when the particle reaches C is 1.63 seconds.
(d) The distance AC is 8.7 m.
Velocity when the particle reaches BThe velocity when the particle reaches B is calculated as follows;
v = ∫a. dt
where;
v is velocitya is acceleration of the particlev = ∫(4t . dt)
v = 4t²/2
v = 2t²
v(2) = 2(2)²
v(2) = 8 m/s
Thus, the velocity when the particle reaches B is 8 m/s.
Distance ABx = ∫v
where;
x is the distance between A and Bx = ∫2t². dx
x = ²/₃t³
x(2) = ²/₃(2)³
x(2) = 5.33 m
Thus, the distance between point A and B is 5.33 m.
value of t when the particle reaches Cwhen the particle reaches point C, final velocity, vf = 0
vf = v + at
where;
v is the velocity at point0 = 8 - 3t(t)
0 = 8 - 3t²
3t² = 8
t² = 8/3
t² = 2.67
t = √(2.67)
t = 1.63 seconds
Distance between A and Cx = ∫vf
x = ∫(8 - 3t²)
x = 8t - t³
x(1.63) = 8(1.63) - (1.63)³
x(1.63) = 8.7 m
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If g(x)=-2x), which graph is the graph of function g?
Answer:
The graph of g(x) has a y-intercept at (0,0) and a slope of -2.
can someone help me really quick
Answer:
-6
Step-by-step explanation:
Additive inverse is the number that when added to A gives a result of zero
A + inverse = 0
6 + inverse = 0
inverse = -6
A Rental Truck Is Company Charges $25 Per Day Plus A Fee Of $0.35 For Every Mile (m) Driven. Which Equations Can Be Used To Find The Numbers Of Miles Driven For A Truck That Cost A Total Of $42.50 To Rent For One Day?
A)$25m + 0.35m = $42.50
B)$0.35 + $25m = $42.50
C)$42.50 + $0.35m = $25
D)$0.35 = $42.50
The Option A is correct. The Numbers of Miles Driven for A Truck That Cost a Total Of $42.50 To Rent for One Day $25m + 0.35m = $42.50
According to the statement
we have given that the Rental Truck Is Company Charges $25 Per Day Plus A Fee Of $0.35 For Every Mile (m) Driven. and a Truck That Cost A Total Of $42.50 To Rent For One Day.
And we have to find the equation for this.
So, for given purpose,
we know that the A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
And from the given values the equation formed that the
In the equation the charges per mile is added to the original charges is equal to the total charges per day.
So, The equation become
$25m + 0.35m = $42.50
And by this equation we represent the all given conditions related charges.
So, The Option A is correct. The Numbers of Miles Driven for A Truck That Cost a Total Of $42.50 To Rent for One Day $25m + 0.35m = $42.50
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Quick algebra 1 question for 50 points!
Only answer if you know the answer, quick shout-out to tariqareesha2, tysm for the help!
Please help answer my questions like these I have many more quick algebra 1 questions that are all due in 2 days so it would be much appreciated if you check them out. Once again, tysm!
Answer:
its the 4th one i think
Step-by-step explanation:
How would i kill a snake with fractions? it's on my homework question... i dont get it at all
Just me:
? I will just explain what I understand
Answer:
(Think hard) If you cut a snake in half you get 1/2 but if you cut it into 4's 1/5
I tried.
Three fair, standard six-faced dice of different colors are rolled. In how many ways can
the dice be rolled such that the sum of the numbers rolled is 15?
These are some of the ways you can make 15 by adding three numbers together.
The first way is doing 6+6+3.There are some more ways to do it too.
2nd way is 6+4+5.
3. 1+6+6
4. 5+5+5
Which value of y completes the proportion?
18/27 = 2/y
A. 1
B. 2
C. 3
D. 9
I picked c.) 3 am I right?
Answer:
c. 3
yes you are right, good job!!
Step-by-step explanation:
18 divided by what equals 2?
18 / 2 = 9 so 18 / 9 = 2
so 27 / 9 = y which y = 3
check: 9 x 3 = 27
Answer:
Yes, C
Step-by-step explanation:
18/2 = 9 so you need to divide 27 by 9 to get 3
Explain what is meant by intercepts with the axes give examples of y and x intercepts
Intercepts with the axes are where your line touches the x or y axis. An example is a straight line, say, y=4x+2. In this case, the y-intercept is 2 because the line touches the y-axis at (0, 2). With y=mx+b format, the y-intercept is b. To find the x-intercept of an equation in y=mx+b format, set y to zero and solve for x. In a parabola, the x-intercepts would be the roots. An example of this is x^2 - 5x + 4 = 0. The roots here are (4,0) and (1,0). Hopefully this helped.
A rental truck company charges a flat fee of $30 to rent a truck in addition to $0.25 per miles how much would it cost to rent a van for 80 miles
Answer:
$50
Step-by-step explanation:
x is distance and y is cost because the cost is dependent on the distance which makes the distance the independent variable. you can always use y=mx+b for these problems!!
The graph of the step function g(x) = –⌊x⌋ + 3 is shown.
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 2, 5) to (negative 1, 5). Each segment is 1 unit lower and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, negative 1) to (5, negative 1).
What is the domain of g(x)?
{x| x is a real number}
{x| x is an integer}
{x| –2 ≤ x < 5}
{x| –1 ≤ x ≤ 5
Using it's concept, the domain of the function is given as follows:
{x| –2 ≤ x <= 5}
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
The function described is defined for x between -2 and 5, hence the domain is given by the following interval:
{x| –2 ≤ x <= 5}
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Answer:
{x| –2 ≤ x < 5}
Step-by-step explanation:
write 3 ratios equivalent to 2:5. Show your work
Answer: 4/10, 6/15, 8/20
Hope this helps!
Clark earns $31 per hour. Calculate his weekly wage if he works 38 hours per week.
Answer:
1178 because 31 dollars an hour for 38 hours you would multiply or times 31 and 38 and get 1178 for total money earned
What is the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3?
The value of the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3 is 16.94%
How to solve for the mean absolute percentage errorThe equation is given as
∝At + (1-∝) Ft
The value for Alpha = 0.7
1 - ∝ = 1 - 0.7
= 0.3
Forecast in match = 62
Ft = 51. 5
the difference = 62 - 51.5
= 10.5
The error = 10.5/62 * 100
= 16.94%
Hence the value of the mean absolute percentage error of the forecast for march found by the exponential smoothing method with a smoothing constant of 0. 3 is 16.94%
Complete question
The past demand data shown below can be regarded as stationary.
Month Demand
January
50
February
55
March
62
April
45
What is the mean absolute percentage error of the forecast for March found by the exponential smoothing method with a smoothing constant of 0.3?
O a. 14.68%
Ob. 16.94%
O c. 12.57%
Od. 11.33%
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A central role of members at this time is to recognize and deal with the many forms of?
Answer:
Resistance
Step-by-step explanation:
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
The median value is 63 and Lower quartile range is 48 and Interquartile range is 80.
According to the given statement
we have given data set and we have to find the five number summary.
So, For this purpose,
the given data set is:
48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80
Firstly we have to find the upper quartile means median for it.
So, Median = n /2
median = 12/2
median = 6th term.
So, Upper quartile range for this data set is 63.
And
Lower quartile for data set is the lower value of the data set.
So, That's why
Lower quartile range for this data set is 48.
And now, we have to find the Interquartile range
so, Interquartile range means maximum value of data.
So, That's why
Interquartile range of this data is 80.
So, The median value is 63 and Lower quartile range is 48 and Interquartile range is 80.
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The limits of the class intervals are
The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
This is further explained below.
What is the class limit?Generally, The lower class limit and the upper-class limits are just the minima and maximum values that are allowed in each class, respectively: The gap that exists between the upper-class limit and the lower class limit is referred to as the class interval.
In conclusion, The lower and the upper class limit are as follows
interval lower limit upper limit
10-14 10 14
15-19 15 19
20-24 20 24
25-29 25 29
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The image of the point P(-3, 2) under the translation (2/1) is
The image of the point P(-3, 2) under the translation T<2,1> is (-1, 3)
How to determine the image of the translation?The coordinate point is given as:
P = (-3, 2)
The translation is given as
T<2,1>
The translation can be represented as:
(x, y) = (x + 2, y + 1)
So, we have the following equation
P' = (-3 + 2, 2 + 1)
Evaluate the sum
P' = (-1, 3)
Hence, the image of the point P(-3, 2) under the translation T<2,1> is (-1, 3)
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x² + y² if x = 7 and y = 5. What is the solution to this??
Step-by-step explanation:
x = 7
y = 5
[tex] = {x}^{2} + {y}^{2} [/tex]
[tex] = (7 {)}^{2} + (5 {)}^{2} [/tex]
= 7 × 7 + 5 × 5
[tex] = 49 + 25 [/tex]
[tex] = 74[/tex]
Hey there!
x^2 + y^2
= 7^2 + 5^2
= 7 * 7 + 5 * 5
= 49 + 25
= 74
Therefore, your answer should be: 74
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
NEED HELP ASAP. :)))
The difference in mail handled between 195 and 1965 is -5.4 x 10
What is the difference in mail handled?The data on the pieces of mail handled by the United States Postal Service is written in scientific notation. Scientific notation is used to compress larger numbers into smaller numbers.
In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, 1 x 10² is equivalent to 100
Difference in mail handled = mail handled in 1995 - mail handled in 1965
(1.8 x [tex]10^{11}[/tex]) - (7.2 x [tex]10^{10}[/tex])
(1.8 - 7.2) x [tex]10^{11 - 10}[/tex]
-5.4 x 10
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Find the term that must be added to the equation x2 4x=1 to make it into a perfect square.
The term that must be added to the equation x2+4x=1 to make it into a perfect square is 4.
What is Quadratic equation?Any equation that can be rewritten in standard form as where x represents an unknown, a, b, and c represent known numbers, and where a 0 is true is a quadratic equation. Since there is no ax2 term, the equation is linear if a = 0, not quadratic.
Why is it called a quadratic equation?This is true because the Latin word quadratum, which means "square," plus the fact that the area of a square with side length x is equal to x2, make up what is known as the quadratic (or "square-like") definition of a polynomial equation with exponent two.
According to the given information:x²+4x=1
as, the x has coefficient 4.
so,
half the coefficient of x and add and subtract the square of the remaining.
x²+4x + 2 ² - 2² =1
Now,
make the whole square term
x²+4x + 2 ² - 4 - 1=0
( x + 2)² -5= 0
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?
What is the directrix of a parabola whose equation is (y +
3)² = 8(x-3)?
O x = 5
Oy = -5
Ox=1
Oy = -1
Done
The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)
What is the directrix of a parabola?
According to the given statement, we have a parabola of the form (y - k)² = 4 · p · (x - h), whose axis of symmetry is parallel to the x-axis. The directrix is always perpendicular to the axis of symmetry and therefore the equation of the directrix is equivalent to x = h - p, where p is the distance from the vertex to the focus.
If we know that the equation of the parabola (y + 3)² = 8 · (x - 3), the equation of the directrix is:
y = - 3 - 2
y = - 5
The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)
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Question 2 (Essay Worth 10 points)
(08.02 MC)
A pair of equations is shown below:
y = 7x − 9
y = 3x − 1
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
Step-by-step explanation:
part A: when you graph both y=7x-9 and y=3x-1 the two lines will intersect this is how you solve the graphing part of the system of equations.
Both of these lines are in slope form (y=mx+b) where m is the slope which is 7 and 3 and b is the y-intercept which is -1 and -9.
part B
7x-9=3x-1
subtract 3x from both sides
4x-9=-1
add 9 to both sides
4x=8
divide both sides by 4
x=2,
making y=3x-1 become:
y=3(2)-1=6-1=5,
the answer is (2,5)
graph the linear equation by plotting three points. 2y=-3+2
Answer:
Step-by-step explanation:
Convert 2y=-3x+2 into y=mx+b form
[tex]\frac{2y}{2} =\frac{-3x+2}{2}[/tex]
[tex]y=\frac{-3x}{2} +1[/tex]
Y intercept is 1, slope is -3/2
Graph looks like this:
10 by 28 + - 32 by 49 rational number
pls answer it
thank you
By simplifying the fraction 10/28 ÷ 32/49 exists 35/64.
How to simplify fractions?The first stage of dividing fractions exists to estimate the reciprocal (reverse the numerator and denominator) of the second fraction. Subsequently, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if required.
To find the reciprocal of the divisor
Reciprocal of 32/49 = 49/32
Now, multiply it by the dividend, then we get
So, 1028 ÷ 3249 = 10/28 × 49/32
= (10 × 49)/(28 × 32) = 490/896
After decreasing the fraction, the answer exists at 35/64.
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Y=2x^2+2x-4 what is the x intercepts for the parabola
Answer:
Step-by-step explanation:
To find the x intercepts, substitute in 0 for y and solve for x
So,
2x^2+2x-4 = 0
2(x^2+x-4) = 0
2/2(x^2+x-4) = 0/2
x^2+x-4 = 0
(x-1) (x+2) = 0
now,
x-1 = 0
x = 1
or
x+2 = 0
x = -2
The x intercepts for the parabola (1,0), (-2,0)
I need help with this
Answer:
s = -24
Step-by-step explanation:
This is a 2-step linear equation, so can be solved the way all 2-step equations are solved.
SolutionStep 1
Identify the constant term on the side of the equation with the variable term, and add its opposite to both sides.
[tex]7 = \dfrac{1}{6}s+11\qquad\text{given}\\\\7-11=\dfrac{1}{6}s+11-11\qquad\text{add $-11$ to both sides}\\\\-4=\dfrac{1}{6}s\qquad\text{simplify}[/tex]
Step 2
Multiply both sides by the inverse of the coefficient of the variable.
[tex](6)(-4)=(6)\left(\dfrac{1}{6}s\right)\qquad\text{multiply both sides by 6}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
Alternate solutionOften, when equations contain fractions, you are advised to "eliminate fractions" as a first step. That generally means you multiply both sides of the equation by a suitable common denominator.
Here, the only denominator is 6, so the fraction can be eliminated by multiplying both sides of the equation by 6.
[tex]7=\dfrac{1}{6}s+11\qquad\text{given}\\\\6(7)=6\left(\dfrac{1}{6}s+11\right)\qquad\text{multiply both sides by 6}\\\\42=s+66\qquad\text{simplify}\\\\42-66=s+66-66\qquad\text{add the opposite of 66 to both sides}\\\\\boxed{-24=s}\qquad\text{simplify}[/tex]
You will note this requires the same number of steps, but you don't have to mess with fractions after the first step.
CheckThe value we found for the variable can be checked in the original equation.
[tex]7=\dfrac{1}{6}(-24)+11\\\\7=-4+11\qquad\text{true}[/tex]
Fifteen students were divided into two classrooms in a ratio of 1:2.
How many students were in each classroom?
Help please !!!!!!! Need helppppp
Answer:
option c
Step-by-step explanation:
option c is a correct answer
Sandy jogs 19.7 miles in 4.5 hours. How many miles does she jog per hour
Answer:
4.378 MPH
Step-by-step explanation:
Distance in Miles
MPH= -------------------------
Time in Hours
19.7/4.5 = 4.378 MPH
a recently televised broadcast of a popular televison show had a 15 share, meaning that among 5000 monitored households with TV sets is use, less than 20% were turned in to the show. find the p-value
a) 1.9998
b) 0.9999
c) 0.0002
d) 0.0001
The p-value from the information about the recently televised broadcast is B. 0.9999.
How to get the p-value?From the information given, n = 5000 and the level of significance is 0.01.
The computed z value is -8.84.
From the z table, the probability value is the value corresponding to the row 8.8 and column 0.04.
This will give a value of 0.9999.
In conclusion, the correct option is B.
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