When the velocity of the car is zero. Then the time will be 1 second.
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The position of a car is given, for positive t, by x = 9t - 3t³. x is in meters and t is in seconds.
We know that velocity is the rate of change of displacement. Then we have
v = dx / dt
v = 9 - 9t²
When the velocity of the car is zero. Then the time will be
v = 0
9 - 9t² = 0
1 - t² = 0
(1 - t)(1 + t) = 0
t = 1, -1
When the velocity of the car is zero. Then the time will be 1 second.
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Find the mode of the data set. 6.12 8.37 5.98 6.55 6.21 7.47 6.55 7.48 7.48 6.55 no mode 6.21
Answer:
Mode is 6.55
Step-by-step explanation:
To find the mode, you put the numbers in order from least to greatest and count how many times each number occurs. In this case its 6.55.
Answer: the mode set is 6.55
Step-by-step explanation:
First, order the data set:
5.88 6.12 6.21 6,55 6.55 6.55 7.47 7.48 7.48 8.37
The mode set is 6.55
HELP PLEASE!!!!!!!
1.What linear equation in slope-intercept form does this graph represent?
2.What was your thought process? Explain how you found your equation. Use complete sentences in your response.
3a. Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)
3b. Explain how you labeled the X axis and Y axis based on the situation you wrote in 3a.
The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;
1. y = 15•x + 100
2. The slope is first calculated, then the equation is expressed in the point and slope form
3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.
3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership
Which method can be used to find the model linear equation?1. Points on the graph are; (0, 100) and (20, 400)
The slope, m, is therefore;
m = (400 - 100)/(20 - 0) = 15
The equation in slope and intercept form is therefore;
y - 100 = 15•(x - 0) = 15•x
y = 15•x + 1002. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.
The slope and intercept form is obtained from the point and slope form by making y the subject
3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15
3b. The labels for the x and y axis based on the above situation are;
The x-axis represents the number of months of joining the fitness serviceThe y-axis represents the total amount paidLearn more about slope and intercept form of linear equations here;
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Find the position of F, on this number line. Please help, I need this explanation really fast
Answer:
1 5/6
Step-by-step explanation:
A number and another number which is 3 times 1 less than the first number add to 17. what are the numbers?
The obtained two numbers by substitution method are 5 and 12.
What is substitution method?The algebraic method for solving simultaneous linear equations is the substitution method.
The value of one variable through one equation is substituted in the second equation, as the name implies.To verify an equation system by substitution, enter your x and y values into the initial equations. Your answer is accurate if both simplification expressions are true.Let the first number be 'x'.
Let the second number be 'y'
From the given condition that second number is 3 times 1 less than the first number.
That is;
y = 3(x - 1)
Now the sum of both number are given as 17.
x + y = 17.
Use substitution method, and put the value of y in the total sum.
x + y = 17.
x + 3(x - 1) = 17
Simplify the given equation;
x + 3x - 3 = 17
4x = 17 + 3
4x = 20
x = 5 (first number)
Put the value of x in y to find the value.
y = 3(x - 1)
y = 3(5 - 1)
y = 12 (second number)
Therefore, the values of two numbers are 5 and 12.
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1
Which is equivalent to 64^1/4
Predictor variable: proximity from primary residence to farmland (in miles) outcome variable: animal rights opinion (scale from 0-50) what is the appropriate inferential statistic?
Closeness of primary dwelling to farmland as a predictor (in miles) outcome variable: support for animal rights (scale from 0-50) The proper inferential statistic to use is the correlation coefficient.
What is a predictor and response variable?
The variables that are measured or observed in an experiment are called response or dependent variables. Any other elements in the experiment that the researcher may be able to control or evaluate and that may have an effect on the result are known as predictor, explanatory, or independent variables.A predictor variable example is what?
When choosing employees, for instance, potential employees' future job performance may be predicted using factors like their qualifications, relevant work experience, and job-specific skills (such computer proficiency or the ability to speak a particular language).Is a predictor variable dependent or independent?
The result variable is sometimes referred to as the response or dependent variable, whereas the risk factors and confounders are known as the predictors, explanatory, or independent variables. Regression analysis uses the notation "X" for the independent variables and "Y" for the dependent variables.Learn more about predictor variable
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. The width of a rectangular plot of land is one- quarter of its length. If the perimeter is 360 m, find: a. The length of the land.
Answer:144
Step-by-step explanation: so if the width is a quarter of the length, then there are 4 parts to both length sides, plus another 2 parts ( one for each width side), 10parts total. 360/10=36, so 1 part equals 36 for the width, which multiplied by 4 is 144
Suppose that A and B are points on the number line.
If =AB11 and B lies at 9, where could A be located?
Answer: A=-2
Step-by-step explanation:
AB=11
B=9
B-11=A
9-11=A
A=-2
POSSIBLE POINTS. 1
Construction workers are building a marble sidewalk around a park that is shaped like a right triangle. Each marble slab adds 2 feet to the length of the
sidewalk. The workers find that exactly 1071 and 1840 slabs are required to make the sidewalks along the short sides of the sidewalk that runs along the
long side of the park?
Answer:
Step-by-step explanation:
a^2 + b^2 = c^2
where
a and b are the legs
and
c is the hypotenuse
.
the problem gives the "legs" because the LONGEST leg is always the hypotenuse.
a^2 + b^2 = c^2
1071^2 + 1840^2 = c^2
1147041 + 3385600 = c^2
4532641 = c^2
What is the solution to this equation?
5(x-6) + 3 = -7
OA. x=4
OB. x=2
OC. x=3
OD. x = 5
SUBM
Answer:
the is X=4
Step-by-step explanation:
Distribute
5(x-6)+3= -7
5x-30+3= -7
add numbers
5x-30+3= -7
5x-27= -7
add 27 to both sides
5x-27= -7
5x-27+27= -7 + 27
simplfly
5x=20
divide both sides by 5
5x = 20
-- ----
5. 5
5 and 5 are off
divide 20 by 5
20/5= 4
therefore x= 4
hope this help if it does help I'd be happy if you follow and give me the brainliest answer
Find the sum of all multiple 3 between 5 and 64
Answer:
The multiple of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+ 45+48+51+54+57+60+63
=690
I WILL MARK BRAINLIEST.
Find the product of 3.2 x 1012 and 4.25 x 109. Write the final answer in scientific notation.
1.36 x 1021
13.6 x 1021
1.36 x 1022
13.6 x 1022
The product in scientific notation is 1.36 x 10^22
How to find the product of 3.2 x 1012 and 4.25 x 109?The product expression is given as:
3.2 x 1012 and 4.25 x 109
Express the product, properly
3.2 x 10^12 x 4.25 x 10^9
Regroup the factors
3.2 x 4.25 x 10^12 x 10^9
Evaluate the product
13.6 x 10^21
Rewrite as:
1.36 x 10^22
Hence, the product in scientific notation is 1.36 x 10^22
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Answer:
c 1.36 x 1012
explanation:
The test statistic value calculated by the statistical procedure selected is known as the ______.
The test statistic value calculated by the statistical procedure selected is known as the obtained value.
What is the obtained value in statistics?The obtained value is the test statistic value derived using the specified statistical procedure.
An outcome of a statistical test of a hypothesis is a test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.
The p-value of these results, which is needed to decide whether to reject your null hypothesis, is calculated using the test statistic.
Therefore, the test statistic value calculated by the statistical procedure selected is known as the obtained value.
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HELP PLEASE ILL GIVE U 100 POINTS PLS HELP AND THE LAST ONE IS 20
Answer:
20
Step-by-step explanation:
how can you see immediately that two integers add up to 1?
The numbers have absolute values that differ by 1, and the number with the larger absolute value is positive.
FH bisects ZEFG. Find the indicated angle measures.
m/GFH=71 °. Find m/EFH and m/EFG.
m/EFH=
m/EFG=
O
O
From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.
What is the justification for the above results?It is to be noted that
m∠GFH = m∠EFH
m∠EFH = 71°
m∠EFG = m∠GFH + mEFH
Hence,
m∠EFG = 71 + 71
= 142°
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Hey i needed help with this scale factor
Kara earns $8 per hour
plus a $40 one-time bonus.
She works between 16
and 20 hours in a week.
What is the greatest value in
range of this situation?
The greatest value in range of work situation is $200.
What is referred as the inequality?a statement of an order relation between two figures or algebraic expressions (greater than, greater or equal to, less than, or less than as well as equal to).a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than or equivalent to, less than, or less than or equal to).For the given question;
The one time bonus is $40.
Amount earned by Kara per hour is $8.
The range of working hours lies between 16 to 20 hours in a week.
Let 'x' be the number of hours Kara worked.
The the inequality will be;Then, the equation for the amount earned in a week is;
Total pay = one time pay + 8×number of hours
Total pay = one time pay + 8x
The greatest value will be earned by the kara when she will work for 20 hours.
Thus, put x = 20.
Total pay = one time pay + 8×20
Total pay = 40 + 8×20
Total pay = 200
Therefore, the total greatest pay earned by the Kara is $200.
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Tyrone biked 45 miles at an average speed of 18 miles per hour, without stopping. About how long did the ride take him? Use the formula t equals d over r
Answer: 2 1/2 hours
Step-by-step explanation: 45/18 = 2 1/2
area of a parallelogram find the areas of the parallelograms whose vertices are given in exercises 35–40.
The area of parallelogram ABCD is found to be 2√3 square units.
What is parallelogram?A quadrilateral is known as a parallelogram in geometry. The opposite sides of a parallelogram are parallel & equal in length. Rhombus, rectangle, & square are a few examples of parallelograms.
We know that diagonal of such a parallelogram divides it into two equal triangles.
So, parallelogram area,
ABCD = 2× area of ΔABC (equation 1)
The area pf the triangle is found through the vertices are (x₁,y₁), (x₂,y₂), (x₃,y₃) is;
Area = (1/2)×[x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)]
The vertices of the triangles are given as;
A(2,4), B(2+ √3 ,5) and C(2,6)
Area = (1/2)×[2(5−6) + (2+√3)(6−4) + 2(4−5)]
Area = (1/2)×[−2+2(2+ √3)−2]
Area = √3
When we plug this value into equation (1),
Parallelogram area,
ABCD = 2×the area of ABC
ABCD = 2×√3
ABCD = 2√3
Thus, the area of the parallelogram ABCD id estimated as 2√3 square units.
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The correct question is -
Find the area of a parallelogram ABCD if three of its vertices are A(2,4), B(2+ √3 ,5) and C(2,6)
11x + 9x³ -8y + 5
14. What are the coefficients of the expression above?
15. What is the degree of the expression?
16. What is the constant of the expression?
17. How many terms are in the expression?
18. Write the expression listed above in standard form.
Problem 14
Answer: The coefficients are 11, 9, -8, and 5Reason: The coefficients are numbers to the left of the variables
======================================================
Problem 15
Answer: Degree = 3Reason: The degree is the largest exponent.
======================================================
Problem 16
Answer: Constant = 5Reason: The term without any variables attached is the constant.
======================================================
Problem 17
Answer: Four termsReason: The four terms are 11x, 9x^3, -8y, and 5
=======================================================
Problem 18
Answer: 9x^3 + 11x - 8y + 5Reason: Write the terms with the largest exponent first. Then have the exponents count down.
Which quantity is best modeled by a linear function?
A the area of a square as a function of the side length
the height of a ball thrown into the air as a function of time
the number of seconds as a function of the number of hours
the height of a reflector on a rotating bike tire as a function of time
The quantity that is best modeled by a linear function is given as follows:
the number of seconds as a function of the number of hours.
What is a linear function?A linear function is modeled by the following rule:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, the change in y divided by the change in x.b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.
Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².
One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:
S(h) = 3600h.
Hence the quantity that is best modeled by a linear function is given as follows:
the number of seconds as a function of the number of hours.
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Given △XYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) what is its image after the composition
Translation: (x, y) → (x + 12, y + 4)
Translation: (x, y) → (x − 5, y − 9)
Answer: i have same question somehelp
Step-by-step explanation:
Please help me with this
Answer:
2.7 miles
Step-by-step explanation:
0.5 + 1.3 + 0.9 = 2.7
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books
On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = 7/2x represents the relation that is shown in the graph.
Here the line goes through points (0, 0), (1, 3.5), (2, 7).
This means that these points must satisfy the equation of the line.
Let us, check each equation one by one
A. y = x + 2/7
Here if we take x = 0,
y = 0 + 2/7
y = 2/7
Thus, (0,0) does not satisfy and hence, we eliminate this option.
B. y = x + 7/2
Here if x = 0
y = 7/2
Thus, again (0,0) does not satisfy and hence, we eliminate this option.
C. y = 2/7 x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 2/7
or y = 0.28
Thus, (1, 1.35) does not satisfy and hence, we eliminate this option.
D. y = 7/2x
Here, if x = 0
y = 0
Hence, (0,0) satisfies.
if x = 1
y = 7/2
or y = 3.5
Hence, (1, 1.35) satisfies.
if x = 2
y = (7/2)(2)
y = 7
Hence, (2, 7) also satisfies.
Thus, y = 7/2x represents the relation that is shown in the graph.
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Your question was incomplete. Check for full content below-
Which equation represents the relation that is shown in the graph?
Cost of Buying Comic Books. On a coordinate plane, a graph titled Cost of Buying Comic Books has number of issues on the x-axis and total cost on the y-axis. A line goes through points (0, 0), (1, 3.5), (2, 7).
y = x + 2/7
y = x + 7/2
y = 2/7 x
y = 7/2x
can someone solve this please, thank you
Answer:KIH=18
Step-by-step explanation:
4x+3+4x+3=12x
X=1.5
4(1.5)+3=9
4(1.5)+3=9
12(1.5)=18
Which expression is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power?
seven raised to the fourth power divided by three raised to the tenth power
negative seven raised to the fourth power divided by three raised to the tenth power
three raised to the third power divided by seven raised to the fourth power
negative three raised to the third power divided by seven raised to the fourth power
The expression that is equivalent to the quantity seven raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power is negative seven raised to the fourth power divided by three raised to the tenth power.
What is power in mathematics?power in mathematics can be described as the the expression which help to give the representation of repeated multiplication by the use of same factor.
We can open the bracket, for each term as [tex]\frac{1}{7^{-2}( ^{2}) }[/tex] and [tex]\frac{1}{3^{10} }[/tex]
Therefore, the second option is correct because they are the option that correct with the description in the question.
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If the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400. how many books on average does each student have?
The number of books taken by each student is 6.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that the total number of books checked out of the library at your high school is 14,400 and the student population is about 2400.
The average is calculated by dividing the sum of the total number of items by the total counts of the items.
Average = 14400 / 2400
Average = 6
Therefore, the number of books taken by each student is 6.
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sentence below is True or False.
Any multiplication can be undone by multiplying by the same number.
Answer: False
Step-by-step explanation:
Find the 14th term of the arthmetic sequence x-1, 7x -7 , 13x-13,....
Since they're in arithmetic progression, there is a constant difference between consecutive terms of
[tex](7x - 7) - (x - 1) = 6x - 6[/tex]
Recursively, the sequence is given by
[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]
By substitution, we have
[tex]a_2 = a_1 + 6x-6[/tex]
[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]
[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]
and so on, up to the 14th term
[tex]a_{14} = a_1 + 13(6x-6)[/tex]
[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]
[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]