Question 2
1 pts
David's bicycle has a diameter of 13 inches. If the wheel
makes 20 revolutions, approximately how far will the bicycle
have traveled? Round to the nearest whole number.
The bicycle can travel a total distance of
[ Select]
inches.
V
Answers
Related Questions
A bakery sells mocha cupcakes and chocolate cupcakes. It sold 300 cupcakes in a day, and 39% of them were chocolate. How many of the cupcakes sold that day were mocha?
Answers
From which types of data display can the number of observations in a data set be determined?
A. Dot plot
2. Box plot
3. Histogram
Answers
Solve the following for θ, in radians, where 0≤θ<2π.
3cos2(θ)+6cos(θ)−4=0
Answers
Answer:
0 ≤ < 2
Step-by-step explanation:
Answer:1.02 5.27 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
3u^2 + 6u - 4 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 3, b = 6, and c = -4. Substituting these values, we get:
u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)
u = (-6 ± sqrt(84)) / 6
u = (-3 ± sqrt(21)) / 3
Therefore, either:
Solve the system by graphing
- 3x-y=2
solution (-2,0)
solution (0-2)
solution (2,0)
solution (02)
Answers
Answer:
(0,-2)
Step-by-step explanation:
Plug in each value for the equation
-3(0) - (-2) = 2
0 - (-2) = 2
2=2
You are preparing an IV order for a hypokalemic patient and they require VDA added to their IV minibag. You need the 10mg/2mL stock solution. Which of the following do you use if it is available as 0.5%, 1:10, 1:5, and 5%?
Answers
The option that should be used for the IV order for the hypokalemic patient would be A. 0. 5 %.
Which VDA should be added ?The concentration of the stock solution signifies the proportion of potassium chloride within the total volume or quantity of the solution. 0.5% concentration implies that 0.5 grams of potassium chloride is present within 100 mL of the solution.
The 0. 5 % solution is already the correct concentration and can be added directly to the IV minibag. Selecting the appropriate concentration necessitates careful consideration of the desired potassium chloride dose for the patient and the desired volume to be incorporated into the IV minibag.
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What is the Answer I don’t under stand
Answers
Answer:
212
Step-by-step explanation:
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answers
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
round 71.13 to the nearest cent
Answers
Answer:
71.13
Step-by-step explanation:
71.13 would be 71.13 if it was rounded to the nearest cent.
To round 71.13 to the nearest cent consider the thousandths’ value of 71.13, which is 0 and less than 5. Therefore, the cents value of 71.13 remains at 3.
$71.13 rounded to the nearest cent = $71.13
Answer:
Nearest cent: $71.10
Nearest dollar: $71.00
Step-by-step explanation:
The nearest cent is $71.10 because you cannot round the three, so we are left with the one. The one cannot be rounded any higher because the 3 is so low. So, in conclusion, the answer is $71.10. If this wasn't the answer you were looking for, it is $71.00.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
5. Select all expressions that are equivalent to 3^8.
A. 3^2x3^4
B. 3²x3^6
C. 3^16/3^2
D. 3^12/3^4
E. (3^4)²
F. (3¹)^7
Answers
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²How to solve the expressionsWe have to solve these out
3^8. = 6561
From the options
A. 3^2x3^4
= 9 x 81
= 729
B 3²x3^6
= 9 x 729
= 6561
C. 3^16/3^2
= 43046721/9
= 4782969
d. 3^12/3^4
= 531441 / 81
= 6561
E. (3^4)²
= 3⁴ x 3⁴
= 3⁴⁺⁴
= 3⁸
= 6561
F. (3¹)^7
= 3⁷
= 2187
The expressions that are equivalent to 3^8 are:
B 3²x3^6D. 3^12/3^4E. (3^4)²Read more on mathematical expressions here:https://brainly.com/question/1859113
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−4 1/2÷(−2 2/3) i need help
Answers
Answer:
\(1\frac{11}{16}\)
Step-by-step explanation:
Convert mixed numbers into improper fractions.
= \(\frac{-\frac{9}{2}}{\left(-2\frac{2}{3}\right)}\)
= \(\frac{-\frac{9}{2}}{\left(-\frac{8}{3}\right)}\)
= \(\frac{\frac{9}{2}}{\frac{8}{3}}\)
= \(\frac{9\cdot \:3}{2\cdot \:8}\)
= \(\frac{27}{2\cdot \:8}\)
= \(\frac{27}{16}\)
Convert improper fraction into mixed number.
= \(1\frac{11}{16}\)
-
16
Megan wants to order team t-shirts at $4.50 each, but she doesn’t want to spend more than $65 total. If the t-shirt company charges a one-time fee of $10 for logo application, how many t-shirts can she buy without spending more than $65? What will x represent in the equation?
the cost of the t-shirts
the number of t-shirts
the total cost
Megan’s cost
Answers
x will equal her total cost and the most she can spend on shirts without going over $65 is $63.
Sorry if it is wrong
Convert: 8 quarts = _____ pints
2 pints
4 pints
16 pints
32 pints
Answers
Answer:
C. 16 pints
Step-by-step explanation:
1 quart equals to 2 pints
Answer:
answer is 2 pints
Step-by-step explanation:
2 x 4 is 8
The figure shows the first three in a sequence of squares. The first square in the sequence has a side length of 3 units, and each square after that has a side length that is 2 units longer than the previous square.What is the explicit equation for f (n) that represents the areas of the squares in the sequence? f (n) = 2(n − 1)2 + 3 f (n) = (3 + 2(n − 1))2 f (n) = (3 + 2n)2 f (n) = 3n2
Answers
SOLUTION:
Since the sequence of side lengths are;
\(3,3+2n,3+4n,...\)Their areas would be the sequence;
\(9,(3+2n)^2,(3+4n)^2,...\)Thus, the explicit formula for the area is;
\(f(n)=(3+2(n-1))^2\)f (n) = (3 + 2(n − 1))² is the explicit equation for f (n) that represents the areas of the squares in the sequence
What is Sequence?a sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given,
The figure shows the first three in a sequence of squares.
First three in a sequence of squares. The first square in the sequence has a side length of 3 units
Each square after that has a side length that is 2 units longer than the previous square.
3,3+2n,3+4n....
The area of square is square of its length
The areas would be the sequence
3²,(3+2n)²,(3+4n)²....
Thus, the explicit formula for the area is;
f (n) = (3 + 2(n − 1))²
Hence f (n) = (3 + 2(n − 1))² is the explicit equation for f (n) that represents the areas of the squares in the sequence
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a study found that 15% of teenagers get the recommended 8 to 10 hours of sleep each school night. a guidance counselor at a large high school takes a random sample of 80 students and asks them if they get 8 to 10 hours of sleep each night of the school week. of the 80 students, 15 state they get 8 to 10 hours of sleep each school night. The P-value for the test of the hypotheses, H.;p=0.15 and H.:p#0.15, is 0.35. What is the correct interpretation of this value? 1115% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the sample proportion would be 0.19 by chance alone, If 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, then 35% of the teenagers in this sample got the recommended amount of sleep by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the true proportion of teenagers getting the recommended sleep is 0.15 by chance alone,
Previous question
Answers
The correct interpretation of the p-value of the hypothesis is given as follows:
If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 15%, that is:
H0: p = 0.15.
At the alternative hypothesis, it is tested if the proportion is different of 15%, that is:
H1: p ≠ 0.15.
We have a two-tailed test, as we are testing if the proportion is different of a value, meaning that the p-value gives the probability of the sample proportion differing by 0.15 at least by the proportion that it differed.
The p-value of this test is given as follows:
0.35.
Hence the first option is correct.
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A gardener has a bag of flower seeds. Half of the seeds are roses, one fourth are gardenias,
and one fourth are irises.
a. P(gardenias)
b. P(not gardenias)
Answers
Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics. Spencer wants to test the hypothesis that the private school students score better than the general public which has an average of 62 marks with a population standard deviation of 7 marks. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is 65 marks, what is the z-score
Answers
Answer:
The z-score is 3.03.
Step-by-step explanation:
The null hypothesis is:
\(H_{0} = 62\)
The alternate hypotesis is:
\(H_{1} > 62\)
The z-score is:
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.
Spencer sampled 50 students of a private school who were questioned about their scores in Mathematics.
This means that \(n = 50\)
Spencer wants to test the hypothesis that the private school students score better than the general public which has an average of 62 marks with a population standard deviation of 7 marks.
This means that \(\mu = 62, \sigma = 7\)
If the sample mean is 65 marks, what is the z-score
This is z when \(X = 65\). So
\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{65 - 62}{\frac{7}{\sqrt{50}}}\)
\(z = 3.03\)
The z-score is 3.03.
A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answers
Answer:
The value is \(p-value = 0.22663\)
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is \(H_o : p = 0.08\)
The alternative hypothesis is \(H_a : p > 0.08\)
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
\(p-value = P(Z > z)\)
=> \(p-value = P(Z > 0.75)\)
From the z-table
\(P(Z > 0.75) = 0.22663\)
So
\(p-value = 0.22663\)
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
juan has $500 in his bank account. At the end of each month he plans to deposit $75. If these are his only transactions, which expression could be used to show the amount of money Juan will have in his account after m months?
Answers
75m+500
You have the 500 as the initial amount and the 75m is how much juan adds each month
Sketch the graph of the inequality. 3y − x ≥ 9
Answers
Answer:
The graph of inequality is shown below.
Step-by-step explanation:
The given inequality is
\(3y-x\geq 9\)
Related equation is
\(3y-x=9\)
At x=0,
\(3y-0=9\Rightarrow y=3\)
At y=0,
\(3(0)-x=9\Rightarrow x=-9\)
Plot (0,3) and (-9,0) on coordinate plane and connect them by a straight line.
Check the inequality for (0,0).
\(3(0)-(0)\geq 9\)
\(0\geq 9\)
This statement is false. So, (0,0) is not included in the shaded region.
The graph of inequality is shown below.
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°
Answers
Answer: Option B -- 72°
Step-by-step explanation:
If a town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Using Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. The measure of the angle between Elm Street and Pine Avenue is 72°
Answer:
b
Step-by-step explanation:
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answers
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
An oil barrel contains 20.3 gallons of oil. One gallon is equal to 3.8 L. How many liters of oil are in the barrel?
Answers
Answer:
77.14L
Step-by-step explanation:
20.3x3.8=77.14L
Find the domain and range of the relation {(-3,-1), (-1,-2), (0, 5), (-1, 7)}
Answers
The domain is {-3, -1, 0} and the range is {-1, -2, 5, 7}
How to determine the domain and the range?From the question, we have the following parameters that can be used in our computation:
{(-3,-1), (-1,-2), (0, 5), (-1, 7)}
The domain is the set of the x values
So, we have the following representation
x = {-3, -1, 0, -1}
Remove repeated entries
x = {-3, -1, 0}
So, the domain is {-3, -1, 0}
The range is the set of the y values
So, we have
Range = {-1, -2, 5, 7}
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x^(2)+y^(2)+14x+18y+114=0
i will give u brainliest and my eternal love
Answers
Answer:
(x+7)^2+(y+9)^2=16
Step-by-step explanation:
This is the equation written in standard form, I'm not sure if that's what you wanted.
Thelma served five pieces of
a pie. The pie was cut into eighths. What
fraction of the pie did she serve? Write
a multiplication equation using a unit
fraction to represent the information.
Answers
The fraction of the pie that she served is given as follows:
5/8.
How to obtain the fraction?The fraction of the pie that she served is obtained applying the proportions in the context of the problem.
A fraction is a way of expressing a part of a whole or a ratio between two quantities. It represents a number that is not a whole number and is usually written in the form of a numerator over a denominator.
The parameters for the fraction are given as follows:
Thelma served five pieces of a pie, hence the numerator is of 5.The pie was cut into eighths, hence the denominator of the fraction is of 8.Then the fraction is given as follows:
5/8.
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MN has a slope of 4/5 and PQ has a slope of -4/5.Are the lines parallel, perpendicular, or neither?
Answers
Answer:
neither
Step-by-step explanation:
asap help please on this question thanks
Answers
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Answers
Add the two amounts together:
0.56 + 0.27 = 0.83 pounds total
Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?
Solution:First, understand the problem.
Luis buys 0.56 pounds of power pasta.
Mariana buys 0.27 pound of power pasta.
Then, add the bus of Luis and Mariana.
Luis buys + Mariana buys = N0.56 + 0.27 = NN = 0.83Answer:Therefore, 0.83 buy in all.am
—
An
=a
where m, n Ez* ,m>n
Answers
Answer:
i don't know
where the picture?
thank you