The required time taken by the Devin to complete 5.8 laps is 24.36 minutes.
How to find time to complete 5.8 laps?To find out how long it takes Devin to complete 5.8 laps, we need to multiply the time it takes to complete one lap by the number of laps. If it takes Devin 4.2 minutes to walk a lap, then to complete 5.8 laps, it would take.
According to question:time = 4.2 minutes/lap * 5.8 laps
= 24.36 minutes.
So, it would take Devin 24.36 minutes to complete 5.8 laps.
This information can be useful for determining Devin's walking pace, comparing his time to that of others, or calculating the total distance he has covered. It's important to note that this calculation assumes that Devin's pace remains constant throughout the entire walk, which may not always be the case.
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Do you have to multiply one or both equations to use elimination? Explain.
Answer: Depends
Step-by-step explanation: When solving a system using elimination, you may have to multiply both equations by a certain value in order to use the method. However, there are a few instances where you will only need to multiply one. This normally happens when there is a higher multiply representing x or y from one equation to another.
Let the variable s represent the amount of videos streamed and let the variable c represent the cost.
For how many video streams will the cost be the same for both companies?
Which system of equations can be used to solve this problem?
A. c=40+2*8
c=24*8
B. c=42*8
c=24*
C. c=40*8+2
c=20*8+4
D. c=40*8- 2
c=20-4*8
The system of equations for cost of company A and B is c = 40 + 2s and c = 40 + 4s respectively.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The amount of videos streamed is = s
The cost of streaming each video is = c
The amount of money charged by company A as membership fee is = $40.
The amount of money charged by company A per video stream is = $2.
The equation for cost of company A will be -
c = 40 + 2s
The amount of money charged by company B as membership fee is = $40.
The amount of money charged by company B per video stream is = $4.
The equation for cost of company A will be -
c = 40 + 4s
Therefore, the equations are c = 40 + 2s and c = 40 + 4s.
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Video streaming company A charges a one-time $40 membership fee and $2 per video stream
Video streaming company B charges a one-time $20 membership fee and $4 per video stream.
Let the variable s represent the amount of videos streamed and let the variable c represent the cost
For how many video streams will the cost be the same for both companies?
Which system of equations can be used to solve this problem?
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.
Which of the following is the best measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 8.
The median is the best measure of center, and it equals 7.3.
The mean is the best measure of center, and it equals 7.3.
The median is the best measure of center, and it equals 8.
The answer choice that is the best measure of center for the data, and what is its value is D. The median is the best measure of center, and it equals 8.
How to calculate this?A measure of center gives an idea of the central tendency of the data.
The median is a better choice here because it is not affected by extreme values, unlike the mean.
From the dots plotted on the line graph, it is evident that there are more data points around 8 than any other value. Hence, the median of the data would be closest to 8.
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Answer: The median is the best measure of center and it equals 8
Step-by-step explanation:have a good day!
when looking to invest money in a company by purchasing stock why is it important to look at many companies to invest
Evaluating multiple companies before making an investment decision helps to make informed decisions, diversify your portfolio, and maximize returns.
It is critical to consider multiple companies before investing because:
Diversification reduces the risk of loss because the performance of one company does not determine the overall performance of your portfolio.
Opportunity Cost: Comparing and selecting the best investment options allows you to avoid missing out on potential higher returns by evaluating multiple companies.
Due Diligence: Investing in a company necessitates extensive research and due diligence. When you look at multiple companies, you can compare financial statements, management, products, and other factors that can affect stock performance.
Finally, evaluating multiple companies prior to making an investment decision allows you to make informed decisions, diversify your portfolio, and maximize returns.
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A survey organization conducted telephone interviews in December 2008 in which 1,009 randomly selected adults in the United States responded to the following question: At the present time, do you think television commercials are an effective way to promote a new product?
Yes, television commercials are an effective way to promote a new product.
The survey organization conducted a telephone survey in December 2008 to gauge the effectiveness of television commercials in promoting new products among a sample of 1,009 randomly selected adults in the United States.
The survey asked the respondents whether they believed that television commercials were an effective way to promote a new product at the time of the survey. The results of the survey can provide insights into the public's perception of television commercials as a tool for promoting new products, as well as how this perception may have changed over time.
The findings can also be useful for marketers and advertisers who want to understand consumer attitudes toward television commercials and use this information to guide their advertising strategies. However, it's important to note that the results of this survey are limited to the specific time and population studied and may not be generalizable to other populations or time periods.
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Car X travels 174 miles in 3 hours.
a. Write the equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles.
b. What is the graph that represents the relationship between distance and time for Car X? Explain.
Answer:
Step-by-step explanation:
a. The equation of the line that describes the relationship between distance and time for Car X can be found by using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.
To find the slope (m), we can use the formula: m = (change in y) / (change in x) = (distance traveled) / (time elapsed) = 174 miles / 3 hours = 58 miles per hour.
Since the car starts at time x = 0 and has traveled 174 miles at time x = 3, the y-intercept (b) can be found by setting x = 0 and solving for y: y = 58x + b, and y = 174 when x = 3, so b = 174 - 58(3) = -160.
Putting it all together, we get the equation: y = 58x - 160.
b. The graph that represents the relationship between distance and time for Car X is a line that passes through the point (0, -160) and has a slope of 58. This line represents the linear relationship between the distance traveled and the time elapsed for Car X.
The y-intercept of -160 represents the distance traveled when time is equal to 0. The slope of 58 represents the rate of change of the distance traveled with respect to time. This means that for every hour that passes, Car X travels 58 miles.
Suppose you know that ∠S and ∠Y are complementary and that m∠S = 5(m∠Y) − 240°. Find m∠Y.
The measure of angle Y, according to the stated statement, is 55 degrees.
What does the term "complementary" mean?An adverb used to describe something which goes together with something else and improves or completes it is complimentary (as in complementary colors)
The total of two complimentary angles is 90 degrees. As a result, we have:
m∠S + m∠Y = 90
Substituting the given equation m∠S = 5(m∠Y) − 240°, we get:
5(m∠Y) − 240° + m∠Y = 90
By merging like variables in the equation, we can reduce it to:
6(m∠Y) - 240° = 90
Adding 240 to both sides, we get:
6(m∠Y) = 330
Dividing both sides by 6, we get:
m∠Y = 55
Therefore, the measure of angle Y is 55 degrees.
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what is the inverse of the function f (x) = 1/3x-5
(8h - 4) + (4h to the third power - 8h squared +9h +7)
Answer:
4h^3 - 8h^2 + 17h + 3
Step-by-step explanation:
I put it into my calculator, let me know if that helped!
. If gcd(a, b)-p, a prime, what are the possible values of gcd(a2, b2), gcd(a2, b), and gcd(a3, 2)?
The possible values are -
(a²,b²) = p
(a²,b) = p if p|-r and (a²,b) = p² if p|r
(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r
What is gcd?
The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).
Since (a, b) = p it can be written a = pr and b = ps where r and s are integers such that (r, s) = 1.
Then a² = p²r².
Then by Theorem 1.7, (a²,b) = (p²r²,ps) = p(pr²,s).
By Theorem 1.8, (r²,s) = 1 .
Thus, there are two cases to consider: if p|s then, (a²,b) = p², and if p|-s then (pr²,s) = 1 (Again by Theorem 1.8) so that (a²,b) = p in that case.
Thus, there are two cases for (a²,b): namely p or p².
The same analysis shows that (a³,b) must be either p, p² or p³ depending on the power of p that divides b.
Analyze (a²,b³) as follows.
Using the notation already introduced, and
Theorem 1.7, it is obtained that (a²,b³) = (p²r²,p³s³) = p²(r²,ps³).
Since, (r, s) = 1, Theorem 1.8 shows that (r²,s³) = 1.
Therefore, there are two possibilities for (a²,b³) -
(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r.
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solve the equation 3.6=12n
The equivalent value of the equation is n = 0.3
Given data ,
Let the equation be represented as A
Now , the value of A is
3.6 = 12n be equation (1)
On simplifying , we get
Divide by 12 on both sides , we get
n = 3.6 / 12
On further simplification , we get
n = 0.3
Hence , the expression is n = 0.3
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A system of equations has a solution (4, −1). One equation in the system is y=14x−2 . Which could be the second equation for the system?
The required equation in a system of equations that has a solution (4, −1) is given as y = -1/4x.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let's assume that the equation passing through the origin and (4, -1)
The equation is given as,
(y₂ - y₁) / (x₂ - x₁)
y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
y - 0 = -1 - 0 / 4 - 0 [x - 0]
y = -1/4x
Thus, the required other equation in a system of equations has a solution (4, −1) is given as y = -1/4x.
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Find the value of k if the graph of y=kx passes through the given point.
A(4,-80)
K=?
The value of k from the equation is k = -20
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = kx be equation (1)
Let the first point be P ( 4 , -80 )
Substituting the values in the equation , we get
-80 = 4k
Divide by 4 on both sides of the equation , we get
k = - ( 80/4 )
On simplifying the equation , we get
k = -20
Hence , the equation is k = -20
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The equation $y=0.5x+3$ represents the cost $y$ (in dollars) of riding in a taxi $x$ miles.
a. Use a graph to estimate how much it costs to ride 5.25 miles in a taxi.
Keyboard Instructions
Initial graph state
The horizontal axis goes from -0.9 to 10.4 with ticks spaced every 1 unit(s).
The vertical axis goes from -0.9 to 10.4 with ticks spaced every 1 unit(s).
Created graph shapes
Line passing through (2, 4) and (0, 3).
MilesCost to ride in taxi (dollars)
Question 2
It costs about $
.
Question 3
b. Use the equation to find exactly how much it costs to ride 5.25 miles in a taxi.
It costs exactly $
.
The cost to ride 5.25 miles in a taxi is, $5.63.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
The equation represents the cost y (in dollars) of riding in a taxi x miles is,
⇒ y = 0.5x + 3
Hence, The cost to ride 5.25 miles in a taxi is,
⇒ y = 0.5x + 3
Substitute x = 5.25 in above equation,
⇒ y = 0.5 × 5.25 + 3
⇒ y = 2.63 + 3
⇒ y = $5.63
Thus, The cost to ride 5.25 miles in a taxi is, $5.63.
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Answer this question with work included.
Answer:
12/8 = 1.5 °C per hour
Step-by-step explanation:
basically write the change over time in a formula, calculate it and find the answer, using the answer u can say that:
over the course of 8 hrs, the temperature has been reducing by a rate of 1.5°C/hr. (link it to the context as well)
Pathagorean theorum, solve and steps pleaseee
Answer:
14
Step-by-step explanation:
formula
SQURED A+B=C
10+b =18
100+b=324
100-100 324-100
=224
squre root of 224
is 14
A film show lasted for 3 3/2 hours. Out of this ,1 1/3 hours were spent on advertisements. What was the actual duration of the film
3 3/2 hours as a decimal= 4.5
1 1/3 hours as a decimal = 1.3
Duration of the film show = 4.5 hours
Hours spent on advertisements = 1.3 hours
Actual duration of the film = 4.5 - 1.3 hours
= 3.2 hours
3.2 hours as a fraction = 3 1/5 hours.
Therefore, the actual duration of the film was 3 1/5 hours.
Movie lasted 3 hours and 10 minutes
You have to convert 3 3/2 and 1 1/3 to a fraction.You have to multiply 9/2 by 3 and 4/3 by 2 to get the least common multiple of those two numbers.Subtract 8/6 from 27/6 and you get 19/6.Convert 19/6 into a mixed number and you get 3 1/6 which is 3 hours and 10 minutes because the clock has 60 minutes so 1/6 is ten minutes.[tex]3\frac{3}{2} - 1 \frac{1}{3} = \frac{9}{2} - \frac{4}{3} = \frac{27 - 8}{6} = \frac{19}{6} = 3 \: \frac{1}{6} [/tex]
Part A
Which account will have a greater value after 10 years?
Account information for two accounts. Account A has principal 16 thousand dollars, annual interest 3 percent, compounded quarterly for number of years equals 10. Account B has principal 16 thousand dollars, annual interest 3 percent, compounded monthly for number of years equals 10.
A. Account A
B. Account B
What will the value of that account be after 10 years?
$
Part B
What type of growth do both accounts model?
A. linear
B. exponential
C. neither
Answer:
Both models are exponential
A: $21,573.58
B: $21,589.58
Step-by-step explanation:
A
f(x) = 16,000[tex](1 + .03/4)^{4(10)}[/tex]
f(x) = (16000)[tex]1.0075^{40}[/tex]
f(x) = $21,573.58 Rounded to the nearest cent.
B
f(x) = 16000[tex](1+ .03/12)^{12(10)}[/tex]
f(x) = (16000)[tex]1.0025^{120}[/tex]
f(x) = $21,589.66 Rounded to the nearest cent
The points (-1, 10) and (-4, 4) fall on a particular line. What is its equation in point-slope
Answer: (−10)=2(+1)
Step-by-step explanation:
A map has a scale of 1:250 000. How many centimeters on the map is a journey of 40 km?
Answer: I believe its 4.16 centimeters
Step-by-step explanation:
I do not have an explanation, but I hope the answer is correct.
if the divining rod is completely useless for locating water, what is the probability that the expert will correctly identify (by guessing) both of the cans containing water?
a) The sample space for this experiment:
S = { E1E2, E1W2,E2W2, E1W1, E2W1, W1W2 }
b) The probability that the expert will correctly identify (by guessing) both of the cans containing water is: 1/6
Probability :Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Now, According to the information:
Let E1 and E2 represent the empty cans and W1 and W2 be the cans filled with water.
S = { E1E2, E1W2,E2W2, E1W1, E2W1, W1W2 }
By merely guessing, the events are equally likely. Since there are 6 possible outcomes,
The probability that the expert will correctly identify (by guessing) both of the cans containing water is:
Since there are 6 possible outcomes,
probability = 1/6
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The given question is incomplete, complete question is:
According to Webster’s New Collegiate Dictionary, a divining rod is "a forked rod believed to indicate [divine] the presence of water or minerals by dipping downward when held over a vein." To test the claims of a divining rod expert, skeptics bury four cans in the ground, two empty and two filled with water. The expert is led to the four cans and told that two contain water. He uses the divining rod to test each of the four cans and decide which two contain water. a List the sample space for this experiment. b If the divining rod is completely useless for locating water, what is the probability that the expert will correctly identify (by guessing) both of the cans containing water?
the line through (4, 2) and (1,
7)
Answer:y=-5/3x+26/3
Step-by-step explanation:
2-7/4-1=-5/3
(4,2)
y-2=-5/3(x-4)
y-2=-5/3x+20/3
+2 +2
y=-5/3x+26/3
[tex]y=-\frac{5}{3}x+\frac{26}{3}[/tex]
It passes through the points
Identify the figure shown in the front, top, and side views.
Answer: it's C
Step-by-step explanation:
Answer:D
Step-by-step explanation:
A particle is moving along a spiral path defined by the equation r = a * e^(b * θ), where a and b are constants. Determine the velocity of the particle at a given value of θ.
Step-by-step explanation:
The velocity of the particle at a given value of θ can be found by taking the derivative of the position vector with respect to time:
v(θ) = dr/dt = dr/dθ * dθ/dt = dr/dθ * ω
where ω is the angular velocity and dr/dθ is the derivative of the position vector with respect to θ.
The position vector r = a * e^(b * θ) * i + a * b * e^(b * θ) * j
Taking the derivative with respect to θ:
dr/dθ = a * b * e^(b * θ) * i + a * b^2 * e^(b * θ) * j
So the velocity of the particle is given by:
v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * j
Answer:
Step-by-step explanation:
v(θ) = a * b * e^(b * θ) * ω * i + a * b^2 * e^(b * θ) * ω * jj
The linear equations graphed in the coordinate plane below intersect.
Which coordinate point is the solution?
(0, –7)
(1, 8)
(7, 0)
(8, 1)
The solution of the equations y = - 2x + 17 and y = x - 7 will be (8, 1). Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equations are given below.
y = - 2x + 17 ...1
y = x - 7 ...2
From equations 1 and 2, then we have
x - 7 = - 2x + 17
3x = 24
x = 8
Then the value of 'y' is given as,
y = 8 - 7
y = 1
The solution of the equations y = - 2x + 17 and y = x - 7 will be (8, 1). Then the correct option is D.
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Please Help ASAP. No links or files. I will report!
The value of x is 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
∠TUV = 9x + 1
∠TUW = 7x - 9
∠WUV = 5x - 11
Now,
∠TUV = ∠TUW + ∠WUV
Substituting the values.
9x + 1 = 7x - 9 + 5x - 11
Adding like terms.
9x + 1 = 12x - 20
1 + 20 = 12x - 9x
21 = 3x
Dividing 3 on both sides.
x = 21/3
x = 7
Thus,
x is 7.
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this is from khan academy help...
The simplified form of the expression is given by 4⁹/y³
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here : The exponents (4³/y)³
Simplifying we get
(4³/y)³
When multiplying two bases of the same value, keep the bases the same and then add the exponents together to get the solution.
4³ ˣ ³ / y³
4⁹/y³
Thus the simplified form of the expression is given by 4⁹/y³
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A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup? A department store buys 300 shirts at a cost of $1,800 and sells them for $9 each. What is the percent markup?
The percent markup for the cost of shirt = 50%
Let us assume that the cost of each shirt be x dollars
A department store buys 300 shirts at a cost of $1,800.
Using unitary method the price of each shirt would be,
x = 1800/300
x = 6 dollars
A department store sells 300 shirts for $9 each.
So, Selling price of one shirt = $9
Price markup = Selling price - Cost price
= $9 - $6
= $3
The percent markup would be,
p = (Price markup / cost price) × 100
p = (3/6) × 100
p = 50%
Therefore, the percent markup = 50%
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To indirectly measure the distance across a lake, Dominic makes use of a couple landmarks at points � B and � C. He measures � � AD, � � DB, and � � DE as marked. Find the distance across the lake ( � � ) (BC), rounding your answer to the nearest hundredth of a meter.
The distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.
To find the distance across the lake (BC), we can use the following formula based on triangle similarity:
BC/AD = DB/DE
Where BC is the distance across the lake, AD is the known direct measurement made by Dominic, DB is the known measurement from point B to the landmark, and DE is the known measurement from point D to the landmark.
Let's assume that AD = 100 meters, DB = 50 meters, and DE = 80 meters. Then we can calculate BC as follows:
BC = (BC/AD) * AD = (DB/DE) * AD
BC = (50/80) * 100
BC = 62.5 meters
So, the distance across the lake is approximately 62.5 meters, rounded to the nearest hundredth of a meter.
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The diagram shows a circle with centre O.
A, B & C lie on the circumference of this circle.
Given that AC is a diameter of the circle and ∠BCA = 5 × ∠BAC, find the size of ∠BCA as highlighted in the diagram.
Answer:
∠ BCA = 75°
Step-by-step explanation:
∠ ABC = 90° ( angle in a semicircle )
then the 2 remaining angles in Δ ABC = 90° , that is
∠ BAC + ∠ BCA = 90° ( ∠ BCA = 5 × ∠ BAC )
∠ BAC + 5 ∠ BAC = 90°
6 ∠ BAC = 90° ( divide both sides by 6 )
∠ BAC = 15°
Then
∠ BCA = 90° - 15° = 75°