Answers
ANSWER
• Away from the starting point: (0, 5) U (7, 20)
,• Towards the starting point: (5, 7)
EXPLANATION
If the function s(t) represents the distance from the starting point to the object, then as this function increases the distance increases. Similarly, as the function decreases, the distance also decreases. This means that the object is moving away from the starting point when the function is increasing - as long as it is positive, and towards the starting point when the function is decreasing.
In this function, there is a zero at t = 0 and at t = 7. The first zero is at the starting point and the second zero is when the object reaches back to the starting point. Between these two zeros, there is a maximum value that we can find using the derivative of the position function. To find the derivative, apply the distributive property first,
\(s(t)=7t^{5/2}-t^{5/2}t=7t^{5/2}-t^{7/2}\)Find the derivative,
\(s^{\prime}(t)=7\cdot\frac{5}{2}\cdot t^{5/2-1}-\frac{7}{2}\cdot t^{7/2-1}=\frac{35}{2}t^{3/2}-\frac{7}{2}t^{5/2}\)Factor our 7/2 t ^(3/2),
\(s^{\prime}(t)=\frac{7}{2}t^{3/2}(5-t)\)The maximum (or minimum) is where the derivative is equal to zero, and this happens at t = 0 and at t = 5. Hence, the object changes direction at t = 5.
Also, the object crosses the starting point at t = 7, and then it goes on infinitely. But since t is between 0 and 20, we can say that it stops at t = 20.
Hence, the object moves away from the starting point in the interval (0, 5), then towards the starting point in the interval (5, 7), and finally, away from the starting point in the interval (7, 20).
Related Questions
What is the area of the square that measures 3.1 m on each side
Answers
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answers
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
ii. The first four moments of a distribution about the value 4 of the variable are -1.5, 17,-30 and 108. Find the moments about mean.
Answers
Answer:2.5,21,166,1132
Step-by-step explanation:
Question 5
Points 1
duction
st
Which of the following is a polynomial of degree 5?
est
7x+ 5x2-3
0 2x7-5
O x1/7 + 1
0 12x4 - 5x3 + 6x - 4
Answers
Answer:
You can go ahead with this!
Step-by-step explanation:
Option A
Is the write answer
Find the domain
Please help
Answers
Answer:
number. 3 hope this helps
In(x^2+y^2) = e find derivative by using implicit differentiation
Answers
Given the equation:
\(ln(x^2+y^2)=e\)You can find its derivative by using Implicit Differentiation. In order to do this, you need to treat "y" as a function of "x".
The steps are:
1. Set up:
\(\lbrack ln(x^2+y^2)\rbrack^{\prime}=(e)^{\prime}\)2. Apply the following Derivatives Rules:
\(\frac{d}{dx}(lnu(x))=\frac{1}{u(x)}\cdot u^{\prime}(x)\)\(\frac{d}{dx}(k)=0\)Where "k" is a constant.
\(\frac{d}{dx}(x^n)=nx^{n-1}\)\(\frac{d}{dx}(ux^n)=nu(x)^{n-1}\cdot u^{\prime}(x)\)Then, you get:
\((\frac{1}{x^2+y^2})(x^2+y^2)^{\prime}=0\)\((\frac{1}{x^2+y^2})(2x+2y\cdot y^{\prime})=0\)\(\frac{2x+2yy^{\prime}}{x^2+y^2}=0\)3. Solve for:
\(y^{\prime}\)Then:
\(2(x+yy^{\prime})=(x^2+y^2)(0)\)\(y^{\prime}=\frac{-2x}{2y}\)\(y^{\prime}=-\frac{x}{y}\)Hence, the answer is:
\(y^{\prime}=-\frac{x}{y}\)
Two alien spaceships start traveling toward each other from space stations that are 710,000 km apart. The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr. In how many hours will the two spaceships meet if the second spaceship is traveling at 90,000 km/hr?
Answers
Answer:
They will meet after 4 hours from the departure------------------------
The distance is 710000 km and the first spaceship has travelled 110000 km in the first hour.
The remainder of the distance is reducing by:
110000 + 90000 = 200000 km an hourTime to travel before they meet:
(710000 - 110000)/200000 = 600000/200000 = 3 hoursAdd the first hour to this to get total travel time of 4 hours.
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Convert to an improper fraction. Type in your answer with the negative in the numerator.
-11 1/3
pls help fast
Answers
-11 × 3 equals 33 plus the 1 in the numerator gives you 34 so your answer is -34/3
Answer:
-34/3
Step-by-step explanation:
Sure face of a prism
Answers
Answer:
Step-by-step explanation:
What factoring method would be the BEST choice
4x² - 121
Answers
( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
= 4x² - 121
= (2x)² - ( 11 )²
= ( 2x + 11 ) ( 2x - 11 )
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0.5 ft of snow melts to 2inches of H2o. To how many inches will 4.5 ft of snow melt?
Answers
Answer:
4.5 feet of snow = 27 inches H2o. Please read the explanation for better details
Step-by-step explanation:
if 0.5 feet of snow melts into 2 inches of water, then that means that 6 inches of snow melts into 2 inches of water. This means that for every 2 inches of snow you melt, it will become 1 inch of water. If 4.5 ft = 54 inches, you simply divide by 2, getting your answer of 27 inches of snow. Hope this helps! :)
A ski club charges $70 for a lift ticket and $20 per hour to ski. Jim paid at least $130 last week to ski. How many hours would he have skied.
Answers
Answer:
Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time
70+20=90
90+20=110
110+20=130
Is 7-¹ a negative number? Explain.
Answers
Answer:
No
Step-by-step explanation:
\(7^{-1}\) is a fraction
using the rule of exponents
• \(a^{-m}\) = \(\frac{1}{a^{m} }\)
then
\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction
The television show Found has been successful for many years. That show recently had a share of 31, meaning that among the TV sets in use, 31% were tuned to Found. Assume that an advertiser wants to verify that 31% share value by conducting its own survey, and a pilot survey begins with 12 households have TV sets in use at the time of a Found broadcast.
Find the probability that none of the households are tuned to Found.P(none) =
Find the probability that at least one household is tuned to Found.P(at least one) =
Find the probability that at most one household is tuned to Found.P(at most one) =
if at most one household is tuned to Found, does it appear that the 31% share value is wrong? (Hint: Is the occurrence of at most one household tuned to Found unusual?)
yes, it is wrong?
no, it is not wrong?
Answers
The probabilities are given as follows:
None: 0.0116 = 1.16%.At least one: 0.9884 = 98.84%.At most one: 0.0744 = 7.44%.The 31% share value is not wrong, as at most one household is not an unlikely outcome, as the probability is higher than 5%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The parameter values for this problem are given as follows:
n = 12, p = 0.31.
The probability of none is given as follows:
P(X = 0) = (0.69)^12 = 0.0116.
The probability of at least one is given as follows:
P(X >= 1) = 1 - 0.0116 = 0.9884.
The probability of at most one is given as follows:
P(X <= 1) = P(X = 0) + P(X = 1)
In which:
P(X = 1) = 12 x 0.31 x 0.69^11
P(X = 1) = 0.0628.
Hence:
P(X <= 1) = P(X = 0) + P(X = 1)
P(X <= 1) = 0.0116 + 0.0628
P(X <= 1) = 0.0744.
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Unit 8: Right Triangles & Trigonometry
Homework 3: Trigonometry:
Ratios & Finding Missing Sides
Answers for the remaining four problems?
Answers
Answer:
See below
Step-by-step explanation:
Problem 6
\(tan\theta=\frac{opposite}{adjacent}\\ \\tan58^\circ=\frac{22}{x}\\ \\xtan58^\circ=22\\\\x=\frac{22}{tan58^\circ}\\\\x\approx13.7\)
Problem 7
\(tan\theta=\frac{opposite}{adjacent}\\ \\tan51^\circ=\frac{x}{15}\\ \\15tan51^\circ=x\\\\x\approx18.5\)
Problem 8
\(cos\theta=\frac{adjacent}{hypotenuse}\\\\cos37^\circ=\frac{48}{x}\\ \\xcos37^\circ=48\\\\x=\frac{48}{cos37^\circ}\\ \\x=60.1\)
Problem 9
\(sin\theta=\frac{opposite}{hypotenuse}\\ \\sin24^\circ=\frac{x}{9}\\ \\9sin24^\circ=x\\\\x\approx3.7\)
Remember your trigonometry formulas and fix the problems you already did. They look wrong.
raul wants to know if reading a book or watching a movie has a lower cost per minute the book Costs $15 and takes Raul 200 minutes to read the movie costs 14 and takes Raul 2 hours and 39 minutes to watch does the book or the movie have a lower cost per minute
Answers
The book has a lower cost per minute than the movie.
To find the cost per minute of the book, we divide the cost by the number of minutes:
cost per minute of book = $15 / 200 minutes = $0.075 per minute
To find the cost per minute of the movie, we need to convert the time to minutes.
2 hours and 39 minutes is equal to:
2 hours x 60 minutes/hour = 120 minutes
39 minutes = 39 minutes
Total minutes = 120 + 39 = 159 minutes
cost per minute of movie = $14 / 159 minutes = $0.088 per minute
Therefore, the book has a lower cost per minute than the movie.
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3x+4=8y-3 5x+1=10y-4
Answers
Answer:
x-3 and y=2
Step-by-step explanation:
Round 34,138 to the nearest thousand??
Answers
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation:
Mr. Santos purchased pizza and soda. Each pizza cost $14.50. He spent $127 on the soda. If he spent $315.50, use the equation 14.50p + 127 = 315.50 to determine how many pizzas, p, he purchased. *
Answers
Answer:
13 pizzas he bought
Step-by-step explanation:
315.50 - 127 = 188.50 then do 188.50 divided by 14.50 = 13
Hope this helps :)
In one fifth grade class 1/5 of the students wear glasses, and 1/4 wear contact lenses. What fraction of the class has corrected vision?
Answers
==================================================
Explanation:
We add up the fractions given
1/5 + 1/4
4/20 + 5/20
(4+5)/20
9/20
-----------
An example:
Let's say there are 20 students.
1/5 of 20 = (1/5)*20 = 4 students have glasses1/4 of 20 = (1/4)*20 = 5 students wear contactsAssume that those who wear glasses do not wear contacts, and vice versa. In other words, assume someone doesn't use both types.
If that assumption holds up, then 4+5 = 9 students wear corrected vision of some sort. So that's how we can arrive at the answer of 9/20 as the fraction of corrected vision students.
3/5 + 1/3 write with out decimal in the answer
Answers
The correct answer is 0.933 approximately 0.9 ( to one decimal place)
Which expression(s) will result in a quotient that is less then one? 3/4 divided by 2/3, 7/10 divided by 4/5, 7/8 divided by 1/2, 7/8 divided by 1/2, 3/4 divided by 1/3, 1/5 divided by 11/15
Answers
Given the general rule for the division of fractions:
\(\begin{gathered} \frac{a}{b}\frac{\cdot}{\cdot}\frac{c}{d}=\frac{a\cdot d}{b\cdot c} \\ b,d\ne0 \end{gathered}\)Then, in this case we have the following:
\(\begin{gathered} \frac{3}{4}\frac{\cdot}{\cdot}\frac{2}{3}=\frac{3\cdot3}{4\cdot2}=\frac{9}{8}>1 \\ \frac{7}{10}\frac{\cdot}{\cdot}\frac{4}{5}=\frac{7\cdot5}{4\cdot10}=\frac{35}{40}<1 \\ \frac{7}{8}\frac{\cdot}{\cdot}\frac{1}{2}=\frac{7\cdot2}{8\cdot1}=\frac{14}{8}>1 \\ \frac{3}{4}\frac{\cdot}{\cdot}\frac{1}{3}=\frac{3\cdot3}{4\cdot1}=\frac{9}{4}>1 \\ \frac{1}{5}\frac{\cdot}{\cdot}\frac{11}{15}=\frac{1\cdot15}{5\cdot11}=\frac{15}{55}<1 \end{gathered}\)therefore, only the second and the last options are less than 1
the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet
Answers
Answer:
405 feet
Step-by-step explanation:
s = 2 * (√5) * 90
s = 2 * 201.246117975
s = 402.49223595
Closest estimate
405 feet
Answer:
Since The equation that depicts the motion of the Car is given.
The speed in terms of the tire marks...
s= 2√5x
where x is the tire marks(in feet.)
s is the speed(miles per hr)
We can't use the speed in Miles per hr when the tire mark is feet.
1mile = 5280ft
90miles x 5280ft/1mile = 475,200ft/hr
Making x the subject
x= s/2√5
x= 475/200/(2√5 )
=106,257ft
I still can't see what I'm missing or You sure you didn't forget to add something else to the question?
makayla is taking a math course and is working with the perimeter of rectangles. she knows the perimeter and length of her rectangle but wants to solve for the width. rearrange the following equation for w, where p is the perimeter, l is the length, and w is the width of the rectangle.
Answers
The equation for w(width of rectangle) is: W = (P - 2L)/2
The correct answer is an option (c)
We know that the formula for the perimeter of the rectangle is:
P = 2L + 2W
where P is the perimeter of the rectangle,
L is the length of the rectangle,
and W is the width of the rectangle.
We need to rearrange this equation for w.
Consider equation,
P = 2L + 2W
P - 2L = 2L + 2W - 2L ......(subtract 2L from each side of equation)
P - 2L = 2W
(P - 2L)/2 = 2W/2 .....(divide each side by 2)
W = (P - 2L)/2
Therefore, the correct answer is W equals the quantity P minus 2 times L all over 2
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The complete question is:
Makayla is taking a math course and is working with the perimeter of rectangles. She knows the perimeter and length of her rectangle but wants to solve for the width. Rearrange the following equation for W, where P is the perimeter, L is the length, and W is the width of the rectangle. P = 2L + 2W.
a) W = 2P − 2L
b) W = P/ 2-2 times L
c) W equals the quantity P minus 2 times L all over 2
d) W = 2P + 2L
Answer:
c) W equals the quantity P minus 2 times L all over 2
Step-by-step explanation:i just took the test
Today, 7 friends went out for lunch. Their total bill was $36.31, including tax and gratuity. One of them ordered only soda and needed to pay only $1.15. The
other 6 friends ordered the same daily special.
How much did each of the other friends need to pay?
$0
1329330
X
5
Answers
Answer:
$5.86
Step-by-step explanation:
The total was $36.31
We were given the price of 1, which was $1.15
$36.31-$1.15 = $35.16 remaining
Since the other 6 friends ordered the same meal, they would have paid the same price, so we would divide by 6
$35.16/6 = $5.86
Does perpendicular lines have something same to intersecting lines
Answers
Answer:
They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.
Step-by-step explanation:
The square of a number decreased by twice the number is equal to 28 more than the number. Find all possible values for the number
Answers
Answer:
-4 or 7
Step-by-step explanation:
Let x represent the number. Then the problem statement tells us ...
x^2 -2x = 28+x
x^2 -3x = 28 . . . . . subtract x
x^2 -3x +2.25 = 30.25 . . . . add the square of half the x coefficient
(x -1.5)^2 = 30.25 . . . . . . . . write the left side as a square
x -1.5 = ±5.5 . . . . . . . . . . . . take the square root
x = 1.5 ±5.5 = {-4, 7} . . . . . . . add 1.5
The number may be either -4 or 7.
what answer? here, can you answer that? thankyou
Answers
It should be noted that the number of sample size based on the information will be 300.
How to explain the sampleIn order to calculate the sample size, we can use the following formula:
n = z² * p * (1-p) / E²
n = 1.96² * 0.5 * (1-0.5) / 0.05²
= 300
A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.
In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".
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Solve these integration
Answers
Answer:
soryyy
kailangan ko ng poins
sorry kung ikaw ang napag tripan ko