Mark's model train can go 1/3 laps around its track in 2 minutes. If it runs at the same
speed, how many laps can the train go in 9 minutes?
Answers
Answer:
1.5 laps
Step-by-step explanation:
You can use a proportion to solve this problem.
2 minutes is to 1/3 lap and 9 minutes is to x laps.
2/(1/3) = 9/x
Cross multiply:
2x = 9 * 1/3
2x = 3
x = 1.5
Answer: 1.5 laps
Related Questions
The word isometric can be broken into two parts. The prefix "iso-” means "of the same,” and "-metric” means "measure.” How does the meaning of the word isometric relate to determining if an isometric transformation occurred? Include the defining characteristics of angle measure and line segments in your response.
Answers
The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.
When we speak about geometric figures, the concept of shape, size, and orientation come into play.The defining characteristics of angle measure and line segments play a critical role in determining whether an isometric transformation has occurred. In geometry, angle measures are the measurements of angles in a geometric figure. An angle is formed by two line segments that share a common endpoint. It is a unit used to calculate the measure of a plane figure's interior or exterior, such as a polygon. In other words, the size of the angle doesn't change during an isometric transformation.Line segments are the building blocks of geometric figures. They are used to construct geometric figures such as polygons, triangles, and rectangles, among others. In an isometric transformation, the length of the line segments remains constant because the shape and size of the original figure and its transformed equivalent remain the same.In conclusion, the word "isometric" implies that the transformation has the same measurements of the original figure. It is a transformation that retains the original geometric figures' shape, size, and orientation. The defining characteristics of angle measure and line segments remain unchanged during the isometric transformation. This means that if an isometric transformation occurs, the original and transformed figures have the same measurements of angles and line segments.For such more question on isometric
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NO LINKS!! Please help me with the Domain and Range part 4ii
Answers
Answer:
9) D: (-4, 4]; R: [-6, -4]
10) D: [-5, -5]; R: (-7, ∞)
Step-by-step explanation:
You want the domain and range of the relations shown on the given graphs.
DomainThe domain of a relation is the set of x-values for which it is defined. An open circle indicates that point is not included in either the domain or range.
RangeThe range of a relation is the set of y-values that the relation produces. An open circle indicates the y-value at that point is not in the range.
9)The graph has an open circle at x = -4 on the left, and a solid dot at x = 4 on the right. All of the x-values between these have corresponding y-values.
The domain is (-4, 4].
The bottom (minimum) of the curve lies on the line y = -6, so that is the lowest value in the range. The relation produces all y-values between -6 and -4. The solid dot at (4, -4) means -4 is included in the range.
The range is [-6, -4].
10)The vertical line at x=-5 means -5 is the only value in the domain.
The domain is [-5, -5].
The vertical line extends upward from an open circle at y = -7. The open circle means -7 is not part of the range.
The range is (-7, ∞).
Answer:
9) Domain: (-4, 4]
Range: [-6, -4]
10) Domain: [-5]
Range: (-7, ∞)
Step-by-step explanation:
Definitions
An open circle indicates the value is not included in the interval.
A closed circle indicates the value is included in the interval.
An arrow shows that the function continues indefinitely in that direction.
Interval notation
( or ) : Use parentheses to indicate that the endpoint is excluded.
[ or ] : Use square brackets to indicate that the endpoint is included.
Domain & Range
The domain is the set of all possible input values (x-values).
The range is the set of all possible output values (y-values).
Question 9From inspection of the graph, the minimum x-value is x = -4 and the maximum x-value is x = 4.
There is an open circle at endpoint (-4, -4). Therefore, x = -4 is not included in the domain.
There is an closed circle at endpoint (4, -4). Therefore, x = 4 is included in the domain.
Therefore, the domain of the relation is restricted: (-4, 4]
From inspection of the graph, the minimum y-value is y = -6 and the maximum y-value is y = -4.
This maximum value is included in the range since there is a closed circle at (4, -4).
Therefore, the range of the relation is restricted: [-6, -4]
Question 10From inspection of the graph, the line is a vertical line at x = -5.
Therefore, the domain of the relation is restricted to x = -5: [-5]
From inspection of the graph, the minimum y-value is x = -7.
This minimum value is not included in the range since there is an open circle at (-5, -7).
There is an arrow on the other endpoint of the line, indicating that the line continues indefinitely in that direction.
Therefore, the range of the relation is restricted: (-7, ∞)
Marco has 2 bags of flour with 6 2/3 cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3 cups of flour for each batch. How many more batches of muffins can Marco make with the flour he has left?
Answers
Answer:what did you get
Step-by-step explanation:
What is the value of the digit in the ones place?
2,615
A. 50
B. 5
OC. 2,000
OD. 100
Answers
is absolute value of -998
Answers
Answer:
998.
Step-by-step explanation:
Just get rid of the negative sign
Answer:
This should 998 I guess
Step-by-step explanation:
Minus the negative signs
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help
Answers
Answer:
I don't know the answer bro but please follow me bro
Please help! Correct answer only, please! Find the product A · A^t A. B. C. D.
Answers
Answer: choice A
Step-by-step explanation:
the transposed matrix would be
5 3
2 -1
so
5*5+2*2=29
3*5+2*-1=13
5*3-2*-1=13
3*3+-1*-1=10
which gives us the answer
29 13
13 10
Question 10 Part 1 of 3
When a bactericide is added to a nutrient broth in which bacteria are growing, the bacterium
population continues to grow for a while, but then stops growing and begins to decline. The size of
the population at time t (hours) is b=8^6 +8^3t-8^2 t^2. Find the growth rates at t=0 hours,
t=4 hours, and t=8 hours.
The growth rate at t=0 hours is _____bacteria per hour
Answers
The population at 0 hours is 1,000, at 4 hours is 1,000,024, and at 8 hours is 1,000,016.
How to calculate the number of bacteria over time?To calculate how the number of bacteria changes over time, let's use the function provided and replace the variable t = time.
0 hours:
Population = 10^6 + (10^4)0 -(10^3)0^2
Population = 10^6 - 10^3
Population = 10^3 or 1,000
4 hours:
Population = 10^6 + (10^4)4 -(10^3)4^2
Population= 10^6 + 40,000 - 16,000
Population= 1,000,024
8 hours:
Population = 10^6 + (10^4)8 -(10^3)8^2
Population= 10^6 + 80,000 - 64,000
Population= 1,000,016
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Fifteen percent of 168
Answers
Answer:
25.2
Step-by-step explanation:
168 x .15 = 25.2
\(\large\text{Hey there!}\)
\(\rm{15\%\ of\ 168}\\\\\rm{= 15\% \times 168} \\\\\rm{= \dfrac{15}{100}\times 168}\\\\\rm{= \dfrac{15}{100}\times \dfrac{168}{1}}\\\\\rm{=\dfrac{15\times168}{100\times1}}\\\\\rm{= \dfrac{2,520}{100}}\\\\\rm{= 25.2}\)
\(\huge\text{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{25.2}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A culture started with 3000 becteria. after 8 hours it grew to 3300 becteria. Predict how many bacteria will be present after 12 hours. Round your answer to the nearest whole number. p=ae^kt
Answers
Answer: I think 5000
Step-by-step explanation:
I’m probably completely wrong lol sorry
The CEO of Jisko requests our help in preparing year-end financial reports. The CEO explains that they are having difficulty classifying accounts. The Tableau dashboard shows December 31 year-end data from the company’s accounting system.
Prepare the current assets section of its December 31 year-end balance sheet.
Answers
A current asset is an asset that can reasonably be expected to be sold, consumed, or exhausted through the normal operations of a business within the current fiscal year
What is current asset?Your information is incomplete. Therefore, an overview of the current asset will be given. Current assets are those that you can convert into cash within one year, such as short-term investments and accounts receivable.
Current assets include cash, cash equivalents, accounts receivable, stock inventory, marketable securities, pre-paid liabilities, and other liquid assets.
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Find the mean, standard deviation, and five-number summary for the data set. Assume population data are given. 9, 15, 15, 21, 23, 31, 33, 37, 45, 51
Answers
Let's find the mean.
\(\begin{gathered} \bar{x}=\frac{\Sigma(x)}{N}=\frac{9+15+15+21+23+31+33+37+45+51}{10} \\ \bar{x}=\frac{280}{10}=28 \end{gathered}\)The mean is 28.
Then, we find the standard deviation
\(\sigma=\sqrt[]{\frac{\Sigma(x-\bar{x})^2}{N}}\)Let's find the difference between each value and the mean
9-28 = -19
15-28=-13
15-28=-13
21-28=-7
23-28=-5
31-28=3
33-28=5
37-28=9
45-28=17
51-28=23
Then, we add the square power of each subtraction
\(\begin{gathered} \sigma=\sqrt[]{\frac{(-19)^2+(-13)^2+(-13)^2+(-7)^2+(-5)^2+3^2+5^2+9^2+17^2+23^2}{10}} \\ \sigma=\sqrt[]{\frac{1706}{10}} \\ \sigma\approx13.1 \end{gathered}\)The standard deviation is 13.1.
On the other hand, the five-number summary refers to the minimum, the first quartile, the median, the third quartile, and the maximum.
According to the given data set, we have
• The minimum is 9.
,• The maximum is 51.
,• The first quartile is 15. (the middle value between the first 5 numbers)
,• The third quartile is 37. (the middle value between the second 5 numbers)
,• The median is between 23 and 31.
\(Me=\frac{23+31}{2}=\frac{54}{2}=27\)• The median is 27.
36 divided by m over x times 9
Answers
Answer:
Step-by-step explanation:
4/mx
Mofor has homework assignments in five subjects. He only has time to do two of
them.
Answers
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?
Answers
9514 1404 393
Answer:
(x-8)/(4x-4) x ≠ 1 or 8
Step-by-step explanation:
Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.
\(\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}\)
The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.
7.For tire size P225/45R17, give the following: Width(mm): _______________ Aspect Ratio (%): _______________ Height (in.): _______________ Diameter (in): _______________ Circumference (in.): _______________ *Remember that 1 inch is equal 25.4mm
Answers
The width is the first numbers.
Width = 225 mm
Aspect ratio is the second number.
Aspect ratio is 45
Aspect ratio is width / height.
You have the ratio and width so you can calculate the height:
Multiply the width by the ratio:
Height = 225 x 0.45 = 101.25 mm
101.25/25.4 = 3.98 inches
The rim
Diameter is the last number
Rim diameter = 17 inches
So the overall height would be approximately 17 + 3.98 + 3.98 = 24.96 inches
Round the answers as needed.
a total of 442 tickets were sold for the school play. They were either adult tickets or student tickets. There were 58 fewer
Answers
Complete Question:
A total of 442 tickets were sold for the school play. They were either adult tickets or student tickets. There were 58 fewer
There were 58 fewer student tickets sold than adult tickets. How many adult tickets were sold?
Answer:
250 adults tickets
Step-by-step explanation:
Given
Represent Adult with A and Children with C
\(Total = 442\)
\(A = C + 58\)
Required
Find A
Since the ticket were either bought by A or C; then
\(A + C = Total\)
This gives:
\(A + C = 442\)
Substitute C + 58 for A
\(C + 58 + C = 442\)
Collect Like Terms
\(C + C = 442 - 58\)
\(2C = 384\)
Divide through by 2
\(C = 192\)
Recall that:
\(A = C + 58\)
\(A = 192 + 58\)
\(A = 250\)
Hence, 250 adults bought the ticket
7. Find S 14 for the arithmetic sequence. 101+98+95+92+..
Answers
Step-by-step explanation:
\(S _{n} = \frac{n}{2} (2a + (n - 1)d) \\ S _{14} = \frac{14}{2} ((2 \times 101) + (14 - 1) \times -3) \\ =1,141\)
State the groups of shapes
Answers
Answer:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
Step-by-step explanation:
The groups are round shapes, triangles, quadrilaterals, pentagons, and hexagons.
Solve for the missing angle measures.
Answers
Answer:what were the anwsers
Step-by-step explanation:
If a ring costs a jeweler $2100, at what price should it be sold to yield a profit of 50% on the selling price?
Answers
2100/2 = 1050
Meaning 50% is $1050
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Answers
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
Shawn wants to paint all the surfaces of the table shown below.
A. the volume of 3 rectangular prisms
B. the surface area of 1 triangle and 4 cylinders
C. the volume of 1 rectangular prism and 3 cylinders
D. the surface area of 2 triangles and 1 rectangular prism
What's the answer? How do I solve for this?!
Answers
the answer is D
The figure can be divided into a rectangle and 2 triangles
Stuck on this question, not very confident with my answers. Photo is attached, please help!
Answers
Part (a)
The notation \(A \cap B \cap C\) talks about overlapping or intersecting all three intervals. Your teacher wants to know what numbers are in all three intervals at the same time.
Refer to the diagram below. I've graphed regions A, B and C on the same number line. The vertical separation is to help tell the regions apart. Technically they should all be on the same number line. Notice how the regions overlap on the interval (0, 2] which translates over to \(0 < x \le 2\) telling us that the answer must be choice D.
Meaning we exclude 0 but keep 2, and everything in between the endpoints.
Choice C is not possible because x = -1 is not in region C. This means choice A is ruled out also. Choice B is eliminated because x = 3 is not in region A nor region B.
Answer: Choice D=============================================================
Part (b)
As mentioned earlier, the intervals all have in common the region between x = 0 and x = 2. We exclude 0 but keep 2.
Answer: (0, 2]=============================================================
Part (c)
The graph is shown below.
We have an open circle at 0 and a closed circle at 2. There is shading in between those endpoints.
When it comes to graphing the final answer, you'll ignore the separate regions A,B,C and only graph what is shown in purple.
Simene wants to babysit this weekend to make some extra money. She charges a flat fee then charoes per hout (or part thereof) that she babysits. Saturday afternoon she will babysit for 5 hours. Vanables: f = flat fee m= money Constant: hours =6, Expression: f+6m She has to choose between two families to babysit for.The first family offers her $40 plus $ per hour. The second family offers her $20 and $10 per hour. Which offer will make her more money and how much more will she make?
Answers
She should take the offer from the second family as she will make $5 more.
How to calculate the value?First family offers her $40 plus $5 per hour. Therefore, the amount that she can make for 5 hours will be:
= $40 + 5($5)
= $40 + $25
= $65
The second family offers $20 plus $10 per hour. Therefore, the amount that will be made will be:
= $20 + $10(5)
= $70
Therefore, she should take the offer from the second family as she will make $5 more. This was calculated as $70 - $65 = $5.
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Kelly ran 6.2 miles Monday, 10.95 miles Wednesday, and 8.25 miles on Thursday. How many miles did she run in all?
Answers
Answer:
25.4 miles
Step-by-step explanation:
added them all up
but if i just wants miles than tha answer is 25
Can a parallelogram have more than 3 lines of symmetry?
Answers
Answer:
no
Step-by-step explanation:
Parallelograms have zero lines of symmetry because it is impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other.
Answer:
Technical answer no
BUT
if you are in a college/postgraduate level group theory class yes
Step-by-step explanation:
Imagine a square, and imagine 4 lines across the top, the side, and the two diagonal ones. Because the two diagonal lines of symmetry are technically the same, there are only three possible lines.
if you are in the group theory class, comment and ill give a lengthy answer on that.
I’m kinda stuck on this question, can y’all please help me?
Answers
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
Please answer this correctly
Answers
Answer:
Its absolutely cone , it has one triangle face seen from front , and a circular base
Answer:
Rectangular pyramid had a triangular face .
Currently it is estimated that 3 out of every 1000 Californians are infected with
coronavirus. The so-called rapid "antigen" test for coronavirus has a very low false
positive.rate of just 0.05, but has a high false negative rate of 0.2.
What is the probability that an antigen test comes back positive?
Answers
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
We have,
To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.
Now,
Prevalence of coronavirus in California: 3 out of 1000
False positive rate of the antigen test: 0.05 (5 out of 100)
Let's calculate the probability of a positive test result.
The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):
True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)
The probability of a positive test result can be calculated using Bayes' theorem:
P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)
P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)
P(Positive test) = 0.0024 + 0.04985
P(Positive test) = 0.05225
Therefore,
The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.
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