The diameter of the circle C/13
The formula provides the circumference of a circle.
The circumference of any shape in mathematics designates the path or limit that surrounds the shape. In other words, the circumference, sometimes referred to as the perimeter, aids in figuring out how long the contour of a shape is. The size and perimeter of a circle are, as we all know, its two most important properties.
C = pi * d, where d is the diameter and c is the circumference.
C = pi * 13 gives the diameter as 13.
Subtract 13 from each side, C/13 = d.
Dimensions are C/13.
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PLEASE HELP ME WITH THIS QUESTION AND ILL BRAINLIEST YOU
Answer:
52.5
Step-by-step explanation:
Since ABCD is a parallelogram, we know that angle ABC and angle ADC are congruent, and since angle ABC is 105, angle ADC is also 105. Since ADC lies on a line, which is 180 degrees, we can calculate ADE by doing 180 - 105 = 75
Next, we must realize that since ED is equal to AD, then angle AED is congruent to DAE. So now we have the three angles for triangle ADE
x (angle AED), x(angle DAE) and 75(angle ADE)
Since we know that a triangle has 180 degrees, we just formulate the following:
2x + 75 = 180
2x = 105
x = 52.5
What is 9yd = _____ in
9 yards is 324 inches
A high school student working part time as a shelf stocker had a gross income of $6675 last year. If his federal tax rate was %10 and his state tax was 3% what was the amount withheld from his Pat last year in federal tax, state tax, and FICA combined?
A. 867. 75
B. 667. 50
C. 200. 25
D. 1378. 39
The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75
What is percentage?Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the symbol "%" (percent sign). Percentages are used to express how much of something there is in relation to the whole. For example, if a student answers 80% of the questions correctly on a test, it means they answered 80 out of 100 questions correctly.
What is tax?A tax is a financial charge imposed by a government on individuals, businesses, or other entities to raise revenue for government spending. Taxes are typically based on a percentage of income or sales, and can be levied on various forms of income, including wages, salaries, and profits. The purpose of taxation is to fund government programs and services, such as roads, schools, and national defense. Taxes can also be used to redistribute wealth and influence economic behavior.
The amount withheld from the student's pay last year in federal tax is $6675 x 0.1 = $667.50
The amount withheld from the student's pay last year in state tax is $6675 x 0.03 = $201.25
The total amount withheld from the student's pay last year in federal tax, state tax, and FICA is $667.50 + $201.25 = $868.75
So the answer is A. 867.75
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Helppppppp
in a math class with 30 students, a test was given the same day that an assignment was due. There were 21 students who passed the test and 20 students who completed the assignment. There were 7 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they passed the test?
please help
This approximates to roughly 6/7 = 0.8571
========================================================
Explanation:
Let's define the following
A = number of people who passed the test, and did the hwB = number of people who passed the test, but didn't do the hwC = number of people who failed the test, but did the hwD = number of people who failed the test, and didn't do the hwThere are 30 students in the class total. This must mean A+B+C+D = 30.
We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.
We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).
This means:
A+B+C+D = 30
(A+B)+C+D = 30
(21) + C + 7 = 30
C+28 = 30
C = 30-28
C = 2
We have 2 people who failed the test, but did the hw.
Because 20 students did the hw, we know that
A+C = 20
A+2 = 20
A = 20-2
A = 18
We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.
The probability we're after is therefore:
18/21 = (3*6)/(3*7) = 6/7
Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.
Answer:
6/7
Step-by-step explanation:
It's correct trust me.
Two consecutive even integers have a sum of 30.
Answer:
14 and 16
Step-by-step explanation:
What are the 3 segments?
Business-to-Business (B2B): This segment involves transactions between two businesses, Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer and Consumer-to-Consumer (C2C): This segment involves transactions between two consumers.
1. Business-to-Business (B2B): This segment involves transactions between two businesses. Examples of B2B include sales of raw materials by a manufacturer to a wholesaler or the sale of supplies by an office supply company to a retailer.
2. Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer. Examples of B2C include online retailers selling products directly to consumers, subscription services, and digital content providers.
3. Consumer-to-Consumer (C2C): This segment involves transactions between two consumers. Examples of C2C include online marketplaces, auctions, and classifieds where individuals can buy and sell items to other individuals.
the complete question is : What are the 3 segments of e-commerce ?
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What is the difference of the two polynomials 9x² 8x )-( 2x² 3x?
The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:
(9x² + 8x) - (2x² + 3x) = (9x² - 2x²) + (8x - 3x) = 7x² + 5xSo, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.
The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.
It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.
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Solve for x.
3 1/2 ≥ 1.4x
A. x ≥ 2 1/2
B. x ≤ 2 1/2
C. x ≥ 4 9/10
D. x ≤ 4 9/10
To solve for x, we need to get x by itself on one side of the equation. To do this, we can start by subtracting 1.4x from both sides of the equation. This gives us:
3 1/2 - 1.4x ≥ 0
Next, we can simplify the left side of the equation to get:
7/2 - 7/5x ≥ 0
Now we can divide both sides of the equation by -7/5 to get:
-5/2x ≤ -7/2
Finally, we can multiply both sides of the equation by -2/5 to get:
x ≥ 4 9/10
Therefore, the solution is x ≥ 4 9/10, which corresponds to answer choice C.
Answer:
x ≥ 4 9/10 C:)
Step-by-step explanation:
Select the improper fraction that is equal to the mixed number below
4 3/5
A. 43/5
B. 23/5
C.12/5
Answer:
B. 23/5 simplified to 4 3/5
Answer:
B. 23/5
Step-by-step explanation:
4 (whole number) ×5 (denominator) =20
20 + 3 (numerator) = 23
Ans = 23/5
In the sequence generated by the formula an=(-1)n+1(5)n , which of the following terms has the greatest value? Assume an > 0.
The term that have the greatest value is
aₙ₊₁₅How to find the term that will have the greatest valueThe knowledge of negative and positive number is necessary here.
numbers less than zero are negative while numbers greeter than zero are positive
Negative terms in an odd exponent remains negative hence less than zero in even exponent the negative changes to positive and becomes greater than zero
For the expression aₙ = (-1)ⁿ⁺¹(5)ⁿ the teem that determines whether the expression is greater that zero is (-1)ⁿ⁺¹. therefore
n + 1 must be even
n must be odd for n + 1 to be even hence the greatest number here is aₙ₊₁₅ a(n+15)
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Does this graph represent a function?
Does this graph represent a linear rule?
Explain your answer!
PLS HELP THIS IS TEST
Answer:
it is a function because it passes a vertical line test.
Step-by-step explanation:
How to work out the circumference from the diameter using a calculator and pi
Answer:
All you have to do is remember the equation: 2 *pi * r
or d * pi
Step-by-step explanation:
2R and d are the same thing
Jeremiah completed a straight, 120 km drive in 1.5 hours. At one point during the drive, he saw that his speedometer read 105 km/h. Which of the following statements are accurate?
His average velocity was 105 km/h.
His instantaneous velocity was always 105 km/h.
His instantaneous velocity was always 80 km/h.
At one point, his instantaneous velocity was 105 km/h.
His average velocity was 80 km/h.
Jeremiah average velocity during the drive was 80 km/h while the instantaneous velocity at one point was 105 km/h
What is an equation?An equation is used to show the relationship between numbers and variables.
Average velocity is the ratio of total distance travelled to total time taken. Instantaneous velocity is the velocity at a particular point in time.
Jeremiah completed a straight, 120 km drive in 1.5 hours, hence:
Average velocity = total distance / total time
Average velocity = 120 km / 1.5 hours = 80 km/h
At one point during the drive, he saw that his speedometer read 105 km/h, hence:
Instantaneous velocity = 105 km/h
The average velocity is 80 km/h while the instantaneous velocity is 105 km/h
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May somebody help me please I’ll appreciate it
theremay be some options first show the options then it would be very easy
Evaluate the following expression: 12 – 10 + 5 - 11. Remember to show your work
Answer:
-4
Step-by-step explanation:
The order in which you do this addition and subtraction doesn't matter.
Step by step:
12 – 10 + 5 - 11 becomes 2 + 5 - 11, and
2 + 5 - 11 becomes 7 - 11, and
7 - 11 becomes -4
Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.
Answer:
There was a discount of 20% on the pair of pants.
Step-by-step explanation:
10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.
If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20
Trevor used a basic fact to find 120 , 4. Which basic fact could Trevor have used?
100 ÷ 4
12 ÷ 3
12 ÷ 4
20 ÷ 4
Write an equation in point-slope form of a line that has a slope of -4 and passes through the point (2, 1)
Answer:
y= -2x + 9
Step-by-step explanation
y=mx + c where m is slope c is the constant and x and y are the coordinates
so y = 1 x=2 m = -4
so 1 = -4(2)+ c
1= -8 + c
c=9
so
y= -2x + 9
Find m BAD. DAC=23 DC=7 BD=7
Answer:
C) ∠BAD = 23°
Step-by-step explanation:
side DA = side AD by the reflexive property
side AB = side AC because of the Pythagorean theorem
ΔBAD is congruent to ΔCAD because SSS
∠BAD = ∠CAD because corresponding parts of congruent triangles are congruent
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather have a taco truck or a fruit smoothie cart. The results of the survey are shown in the table. Taco truck Fruit smoothies Total Eighth-graders 75 45 120 Ninth-graders 105 25 130 Total 180 70 250 What is the relative frequency of eighth-graders who want fruit smoothies?
Answer:
0.18
Step-by-step explanation:
The relative frequency of eight graders who want fruit smoothie :
Number of eight graders who want fruit smoothie / total number of students surveyed
= 45 / 250
= 0.18
A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time. What was its speed?
A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Speed = Distance/ time taken
A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.
Distance = 72 meters
Time taken = 9.6 seconds
So,
Speed = Distance/ time taken
Speed = 72/ 9.6
= 720/ 96
= 7.5m/s
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Una familia gasta 2/5 de su presupuesto en vivienda y 1/3 en comida. Si en vivienda gasta 5400 euros anuales. ¿Qué cantidad de dinero gasta al año en comida?
A. $ 13.500
B. $ 4.500
C. $ 10.800
D. $ 5400
Q 5 a) calculate the value of d
Answer:
This is not possible.
Step-by-step explanation:
6 m = 600 cm
A triangle with a 600 cm leg and a 10 cm hypotenuse is impossible
If the 6 m should have been 6 cm, then:
Using the Pythagorean theorem:
base² = 10² - 6² = 100 - 36 = 64
base = √64 = 8
d² = 8² + 15² = 64 + 225 = 289
d = √289 = 17 cm , not meters
find the area of the composite figure below
please help
Answer:
240 yd³Step-by-step explanation:
The base of the prism is triangle with base of 6 yd and hight of 6 yd.
The hight of the prism is 10 yd.
Therefore, the volume of the prism:
[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]
What's the missing base of 16= ^2
Answer:
4
Step-by-step explanation:
Think about it like this: What number multiplied by itself is equal to 16. It's 4! Because 4 *4 = 16. Thus, the missing base is 4
Answer:
It is 4
Step-by-step explanation:
It would be 4 since the square root of 16 is 4.
lamar bought v vanilla cupcakes and 8 chocolate cupcakes for the party write an expression that shows how many cupcakes lamar bought in all
Answer:
8 + v
Step-by-step explanation:
assuming Lamar didn't buy any other cupcakes outside of the chocolate and vanilla ones mentioned, the expression that gives you the total amount of cupcakes bought for the party is 8 + v. since you don't know the number of vanilla cupcakes Lamar bought, it is represented as the variable v in this problem. Then just add 8 and the variable v together. hope this helped :]
If X-1 = 2
Work out the value of 2x2
Answer:
2x
2
−x−2=2(−1)
2
−(−1)−2 [Putting x=−1]
=2×1+1−2=2+1−2
=3−2
=1.
I need help on that soooo
Answer:
3⅛ ÷ 1⅔ = 1.9083969465648855.
Step-by-step explanation:
To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.
3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.
Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.
Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.
This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.
hirty 8th graders signed up for running club,however nine dropped out before the firstpractice. If 2 46 3 % of the club are 8th graders, how many total students are in the running club
There are 29.8 students in the running club overall.
What is meant by quotient?The quotient is the number we get when we divide two numbers. For instance, in the case of 8 4 = 2, where the division result is 2, it is the quotient. The divisor is 4, and the dividend is 8.
The remnant is the amount that does not wholly enter the divisor, whereas the quotient is the number of times a division is completed to the fullest extent possible. By way of illustration, 42 is the quotient and 1 is the remainder when 127 is divided by 3 to provide 42 R 1.
Given,
30+9-46 (2/3) % × 30
Multiply
30 + 9 - (46 × 30) × 0.00666666666666667
Calculate quotient,
30 + 9 - 1380 × 0.00666666666666667
Simplifying quotient,
30 + 9 - 9.2
Then we get,
39 - 9.2
Then 29.8
get the result: 29.8
The complete question is:
Thirty 8 th graders signed up for running club, however nine dropped out before the first practice. If 46 (2/3) of the club are 8 th graders, how many total students are in the running club?
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16. 2m² +13m +20
factor each trinomial
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
Define Factorial.The factorial of a non-negative integer n, represented by n! is the product of all positive integers less than or equal to n. It is the mathematical operation that is applied to a non-negative integer.It is also used in many areas of mathematics, including calculus and number theory, as well as in many areas of science, including physics, chemistry, and computer science.
What is variables and constants ?A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.
To factor a trinomial of the form "ax² + bx + c," we can use the following steps:
First, we need to determine two numbers that multiply to give us "c" and add to give us "b." In this case, the two numbers are 4 and 5 because 4 x 5 = 20 and 4 + 5 = 9, which is equal to "13m".
Next, we can factor the trinomial into the form (ax + b)(cx + d) by grouping the middle term and the constant term together.
So, the factored form of the trinomial is (2m + 4)(m + 5)
So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.
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