Step-by-step explanation:
it seems there are some mistakes with this text.
if I understand correctly, than she runs on a circular track with a radius of 79 ft for 126 ft.
and we need to find the angle of the arc (the part-circle) she was running.
for that we need to find the ratio arc length / circle circumference, and then multiply that with 360° (you know, a full circle represents 360°, one full turn around), and that will be the arc angle.
the circle circumference is
2×pi×r = 2×pi×79 = 496.3716393... ft
the arc angle is therefore
360 × 126 / 496.3716393 = 91.38314201...°
rounded to the nearest degree : 91°
Mrs. Terry's class has 28 students. The class includes 12 boys. What is the
ratio of girls to boys? (remember to simplify)
3:4
3:7
4:3
7:3
Answer: 4:3.
Step-by-step explanation:
The original answer is 16:12. But, when it's simplified, it's 4:3
Answer:
4:3
Step-by-step explanation:
28-12 the boys
16=girls
ratio; 16=12
g=b
simplify 16=12
4=3
Help answer part a and b please no links!!!
Answer:
a) 64.37m^2 b) 15.71 meters
Step-by-step explanation:
Area of circle = \(\pi r^2\)
Rectangle: quadrilateral, parallelogram, all angles are 90 degrees
a) The area of the park not covered by the wading pool is equivalent to the area of the wading pool subtracted from the total area:
because the radius of the pool is 2.5
Area of wading pool = \(\pi 2.5^2=6.25\pi m^2\)
The total area of the park is length x width because it is a rectangle
Area of park = \(14*6=84m^2\)
Area of the park not covered by the wading pool = \(84-6.25\pi\) ≈ 64.37m^2
b) The meters of fence needed to surround the circular pool is the circumference of the circle
Circumference: \(2.5*2\pi=5\pi\) ≈ \(15.71\)
3/9 a rational number
Answer:
1 : 3 and/or 3 : 9.Step-by-step explanation:
3/9 can be a rational number.
Let me show you:
3/9= 1 : 3= 3 : 9The Answer and/or 1 : 3 or 3 : 9.
Help me pleaseeeeeeeeeeeee
sam buys a box of markers for 2.85, but he has a coupon for 20% off. how much does he save with the coupon?
Answer:
85 cents
Step-by-step explanation:
i belive
Point V is on line segment UW. Given VW = x, UV = 3x – 1, and
UW = 5x – 5, determine the numerical length of VW.
Answer:
4 units
Step-by-step explanation:
Since V lies on UW,
UV + VW = UW
\(3x - 1 + x = 5x - 5 \\ 5x - x - 3x = 5 - 1 \\ x = 4\)
Therefore, VW = 4 units
y-axis95 O-20-10-9-8-7-6-5-4-3-21X-axts1 2 3 4 5 6 7 8 9 10-2-3-49-6-7-8-9-105. Which piecewise function represents the graph?X+1 x 1A. P(x) - 5 1
We can answer the question by just looking at the horizontal line. The horizontal line goes through y = 5 where the values in the x-axis are between 1 and 4 without including them.
So, the only piecewise function that has one of the equations as:
f(x) = 4 for 1 < x < 4
is the option A.
We can also prove that for x less than 1, the equation of the line is f(x) = x+ 1 and for x greater or equal to 4, the equation of the line is f(x) = x - 1
For example: the first line goes through the point (0,1), so if x is equal to 0 (less than 1),
f(x) = x + 1 = 0 + 1 = 1
So, the answer is A
Sixth grade mathematics
You have a deck of 52 cards. What is the probability of getting a 4 or a 7?
Answer:
Step-by-step explanation:
There are four 4s and four 7s in a deck of 52 cards, so the probability of drawing a 4 or a 7 is:
P(4 or 7) = P(4) + P(7) = 4/52 + 4/52 = 8/52
Simplifying this fraction, we get:
P(4 or 7) = 2/13
Therefore, the probability of getting a 4 or a 7 from a deck of 52 cards is 2/13, or approximately 0.1538 or 15.38%.
The probability of getting a 4 or a 7 is 2/13.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
You have a deck of 52 cards.
Number of cards which are 4 = 4
Number of cards which are 7 = 4
Number of cards which are either 4 or 7 = 4 + 4 = 8
Total number of cards = 52
Probability = 8/52 = 2/13
Hence the probability is 2/13.
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A one-dollar bill is 1 × 10–4 meter thick. How tall is a stack of 500 one-dollar bills?
Answer:
4996
Step-by-step explanation:
Help this help:)
500x10-4= 4996
Answer:
1 x 10 - 4 x 500 = 4,996 meters thick.
Step-by-step explanation:
if I have a 40 in a class and get 100% on something thats 40% of my grade. whatsmy new grade PLEASE ANSWER like please please please please answer
Answer: depends on how your class is weighted, and specifically how many points the thing is, and your point score.
Step-by-step explanation:
i guess 60%? it's too vague
If you solve this first I’ll make you brainliest and of course take your time good luck.
Answer: 28x^4y^7
Step-by-step explanation: Add exponents of common base
Answer:
28x⁴y⁷
Step-by-step explanation:
First multiply the numbers;
Then combine the exponents;
Then combine the exponents again;
Then you have the answer :)
find 9 f(x) dx 0 if f(x) = 7 for x < 7 x for x ≥ 7 .
The function is 130/2.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
According to question,
\(\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}\)
7x7 - 7x0 + 81/4 - 49/4
49 + 32/2
130/2
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what is the unit rate of 2,16 and 4,32
Answer:
( 1/2 0.5 mph )
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.
Nogan Airport has three runways. The airport dedicates two runways to serve departing flights and one
runway to serve arriving flights. If used for departure, a runway can serve 10 flights per hour; if used for
arrival, a runway can serve 15 flights per hour. The time it takes for a plane to use a runway (either to
depart or to land) is exponentially distributed.
The flight schedule in the morning is as follows. The time between two consecutive departing flights is
exactly 5 minutes. The time between two consecutive arriving requests is exponentially distributed,
with an average of 10 minutes. When an arriving flight approaches the airport, it radios the control
tower and requests permission to land. The air traffic controller responds instantly by assigning the
plane a position in queue on a first-come-first-serve basis.
(a) On average, how much time elapses between a plane’s radioing of the control tower and its eventual
completion of the entire arriving process in the morning? (1 point)
On average, it takes approximately 14 minutes for a plane to complete the entire arriving process, from radioing the control tower to landing on the runway, in the morning at Nogan Airport.
To determine the average time that elapses between a plane radioing the control tower and its completion of the entire arriving process in the morning, we need to consider the different steps involved in the process.
Radioing the control tower: The time between two consecutive arriving requests follows an exponential distribution with an average of 10 minutes. Hence, on average, it takes 10 minutes for a plane to radio the control tower after the previous plane.
Assigning position in queue: The air traffic controller assigns the plane a position in the queue on a first-come-first-serve basis, implying that there is no additional delay for this step.
Landing on the runway: Once the plane reaches the front of the queue, it lands on the runway. The time it takes for a plane to use a runway, either for landing or departing, follows an exponentially distributed process.
Since the runway dedicated to arrival can serve 15 flights per hour, the average time it takes for a plane to complete the landing process is 1/15 hour, or 4 minutes.
Considering these steps, the average time that elapses between a plane radioing the control tower and completing the entire arriving process in the morning can be calculated as follows:
Average time = Time to radio the control tower + Time to land on the runway
= 10 minutes + 4 minutes
= 14 minutes
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A customer deposits $1000 in a savings account that pays 5% interest compounded annually. How much money will the customer have in the account after 5 years?
Answer:
five divided by hundred mult
HELP!!!! PLZ!!!!!!!!!!!!!!!!!
Answer: A
Cause 10 divided by 1 is 10
There is a bag filled with 3 blue and 4 red marbles a marble is taken at random from the bag the colour is noted and then it's replaced another marble is taken at random what is the probability of getting at least 1 red?
Answer:
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
List the sample space for rolling a fair seven-sided die.
S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}
The sample space for rolling a fair seven-sided die is S = {1, 2, 3, 4, 5, 6, 7}.
Given that,
A fair seven sided die is rolled.
We have to find the sample space of the rolling.
A sample space is a set of all the possible outcomes in a random experiment. It is usually denoted by the letter, S.
The subset of the sample space are events.
The die has the numbers marked from 1 to 7.
So when we roll the die,
The possible numbers are 1, 2, 3, 4, 5, 6, 7
Sample space = {1, 2, 3, 4, 5, 6, 7}
Hence the sample space is {1, 2, 3, 4, 5, 6, 7}.
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Just need the answer to this pls
Answer:
1
Step-by-step explanation:
BD = BC + CD = (7 + 17x)
BE = BA + AE = (8 + 13x)
By intersecting secants theorem:
\( BC\times BD = BA\times BE\)
\( 7(7+17x) = 8(8+13x)\)
\( 49+119x = 64+104x\)
\(119x -104x = 64-49\)
\(15x = 15\)
\(x = \frac{15}{15}\)
\(x =1\)
You make $12 per hour with time and a half for overtime. Last week you worked 40 hours plus overtime hours. If your total pay was $588, how many overtime hours did you work? Describe each step and show ALL work.
Answer:
$ 12 × 40/hr = $ 480
$ 588- $ 480 = $ 108 left over
12 × 1.5 = $ 18 OT rate
108 ÷ 18 = 6 hrs of OT
1/2 2/3 3/4 the average
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite corner. The lawn is 23ft by 18ft. a.) What is the length of the walkway to the nearest foot? b.) If the stones cover one foot each how many stone will he have to buy to make sure the path is covered?
The length of the walkway is 24 ft, and you will need 24 stones to cover it.
What is the length of the walkway?
The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:
L^2 =(23fy)^2 + (18ft)^2
L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft
The walkway is 23.77 ft long.
Rounding to the nearest foot, the length is 24 ft.
b) If each stone covers 1 ft, then you will need 24 stones.
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In the Income section shown below from the 1040EZ form, a single taxpayer
filing her federal income tax return entered $0 on line 6 for her taxable
income. Assuming that nobody can claim the taxpayer as a dependent, which
of these dollar amounts could have been on line 4 for adjusted gross income?
Answer: D.9100
Step-by-step explanation:
Answer:
The correct answer is $9,100
Step-by-step explanation:
8.65 percent compounded monthly. (Round answer to 2 decimal places, e.g. 15.25%.) Effective annual rate \%
The effective annual rate for a 8.65% interest compounded monthly is 9.14%.
To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.
We can use the formula for compound interest to calculate the effective annual rate:
Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1
Plugging in the given values:
Effective Annual Rate = (1 + (8.65% / 12))^12 - 1
= (1 + 0.0072083)^12 - 1
= 1.0072083^12 - 1
≈ 0.0914 or 9.14%
Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.
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What is the max number of comparisons that can take place when a bubble sort is implemented assume there are n elements in the array?
While implementing the bubble sort algorithm, the maximum number of comparisons that can take place for n elements are \(\frac{n(n -1)}{2}\)
Sorting AlgorithmWhen an array or list of items has to be rearranged, a sorting algorithm is used to compare the elements and sort the elements in the array or list. In each data structure, the new order of the items is determined using the comparison operator.
Bubble Sort AlgorithmThe simplest sorting method is called Bubble Sort, and it involves periodically exchanging nearby components if they are arranged incorrectly. Since the average and worst-case time complexity of this approach is relatively high, it is not appropriate for huge data sets.
According to the condition the maximum number of comparison can be found as follows:
Number of elemnts = n
Number of passes required by bubble sort of n elements will be = n-1
Therefore for the maximum number of comparisons that can take place for n elements will be = \(\frac{n(n -1)}{2}\)
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What is the surface area?
15 cm
12 cm
15 cm
18 cm
21 cm
Triangular Prism
Answer:
949
Step-by-step explanation:
just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer
HELP PLEASE! ASAP!!!!! Answer question in screenshot!
*hint* (its not A because when I tried putting it as an answer I got it wrong!)
and please give an explanation!
*please click on my profile to see more questions I have! Please answer them if you can! Thank you again!*
Thank you!
The most appropriate graph to construct for the given data table is a line graph. It shows how the miles change over time between each individual data point, allowing us to observe the relationship between the number of days and miles driven.
A line graph is a suitable choice in this scenario because it visually represents the relationship between the number of days and the miles driven over time. In a line graph, the x-axis represents the number of days, and the y-axis represents the miles driven. Each data point (number of days, miles driven) is plotted on the graph, and a line is drawn connecting these points.
By using a line graph, we can observe the trend or pattern in how the miles driven change as the number of days increases. We can see if there is a linear or non-linear relationship between the variables and how the miles driven vary over time. The line connecting the points helps us visualize the overall trend and identify any significant changes or patterns in the data.
In contrast, a scatter plot would simply show the individual data points without connecting them, making it more suitable for displaying the distribution or clustering of data rather than showing the change over time.
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18. What is the value of 4k + 6(j – 2) when k = 3
and j = 5?
Answer:
30
Step-by-step explanation:
you plug in k with 3 and j with 5
4 times 3 + 6(5 – 2) = 30
Tony’s taxi had a rate chart posted on the side of each cab. Distance charge: 1 mile- $3.50 2 miles- $5.50 4 miles- $9.50
Answer:c=2m+1.50
Step-by-step explanation:
If you plug in each mile for M that’s how you get the answer .