Find the diameter of a circle that has an area of 254.34 mm2.
Answers
Given:
Area of a circle = 254.34 mm^2
Let's find the diameter.
First Step: Use the formula for area of a circle to find the radius of the circle.
\(\text{Area = }\pi r^2\)where
Area = 254.34
r = radius
π = 3.14
Let's find the radius:
Rewrite the formula for r
\(\begin{gathered} A\text{ = }\pi r^2 \\ \\ r=\sqrt[]{\frac{A}{\pi}} \end{gathered}\)\(\begin{gathered} r\text{ = }\sqrt[]{\frac{254.34}{3.14}} \\ \\ \text{ =}\sqrt[]{81}=\text{ 9} \end{gathered}\)Radius of the circle = 9 mm
We know that diameter = radius x 2
Therefore
diameter of the circle = 9 x 2 = 18 mm
ANSWER:
diameter = 18 mm
Related Questions
Graph the system below and write its solution
Y=1/4x-3
-x+4y=-4
Answers
The graph of the system of equations is shown below:
The solution of the system is given by the point of intersection of the two lines which is (20/7, -7/2).
Find the surface area
Answers
Answer: 264
Step-by-step explanation:
the square root of a negative number is known as an _______ number
Answers
Positive number is a square root
Find the circumference of a circle with a diameter of 25 mm. Leave your answer in terms of pi.
Answers
Answer:
25pi
Step-by-step explanation:
circumference is diameter * pi
Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.
Answers
Answer:
plz ask question correctly
Calculate the value for the for the following scores 20, 60, 30, 50 given:
begin inline style begin display style sum for blank of end style end style x squared =
Answers
The sum of the scores is equal to 160.
What is a mean?In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.
How to calculate the mean for a data set?Mathematically, the mean for this set of scores can be calculated by using the following formula:
Mean = [F(x)]/n
For the total number of scores (data set), we have;
∑x = 20 + 60 + 30 + 50
∑x = 160.
Mean = [F(x)]/n = 160/4 = 40.
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How do you find function,domain and range?
Answers
Answer:
y=f(x)
Step-by-step explanation:
To find the domain and range just solve the equation which is y=f(x) so you can determine the values of the independent variable x and obtain the domain. To find the range of the function just express x as x=g(y) and then find the domain of g(y).
Is (2, 10) a solution to this system of equations?
y = x + 8
y = 10x + 3
yes
Submit
no
Answers
Point (2,10) is not satisfying the linear function y = 10x + 3 thus it will be not the solution of the system of equations.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given point (2,10)
Put it into y = x + 8
10 = 2 + 10 = 10 (satisfy)
Put it into y = 10x + 3
10 = 10 x 2 + 3 = 23 ≠ 10 (Not satisfy)
Hence "Point (2,10) will not be the system of equations' solution since it does not fulfill the linear function y = 10x + 3".
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8.
Write the equation corresponding to the graph of y = 7* after having been translated five units upward, three units to the
left, and lastly is reflected over the X-axis.
Write your answer without using parentheses,
DAY
Answers
Answer:
(-3,-13)
Step-by-step explanation:
...................
The following functions all have domain {1,2,3,4,5} and codomain 1,2,3. For each, determine whether it is jective, bijective, 3. (only) injective, (only) sur neither injective nor surjective. (a) f - {1 2 3 4 5}
{1 2 1 2 1} (b) f - {1 2 3 4 5}
{1 2 3 1 2}
(c) f(x) = { x if x < 3 x -3 if x > 3
Answers
The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.
(a) f - {1 2 3 4 5} -> {1 2 1 2 1}
This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.
(b) f - {1 2 3 4 5} -> {1 2 3 1 2}
This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.
(c) f(x) = { x if x < 3, x - 3 if x > 3}
This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.
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Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
What is a functiοn?In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.
(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.
(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.
Hence,
Tο summarize, here are the classificatiοns fοr each functiοn:
(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.
(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.
(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.
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HeatheOG BORTS AND MOREWriting a multi-step equation for a real-world situationTom takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood,class fees are $115 per credit hour. Tom is taking a combined total of 12 credit hours at the two schoolsSuppose that he is taking w credit hours at Westside. Write an expression for the combined total dollar amount he paid for his class fees.
Answers
Cost of class fees per credit hour:
Westside: $98
Pinewood: $115
Let's say that he is taking w hours at Westside and p hours at Pinewood. We know that Tom is taking a combined total of 12 credit hours at the two schools, then:
\(\begin{gathered} p+w=12 \\ p=12-w \end{gathered}\)The cost at Westside is:
\(C_W=98\cdot w\)And at Pinewood:
\(C_P=115\cdot p=115\cdot(12-w)=1380-115\cdot w\)Finally, the total dollar amount he paid for his class fees is:
\(\begin{gathered} C_{\text{Total}}=C_W+C_P=98w+1380-115w \\ C_{\text{Total}}=1380-17w \end{gathered}\)The customer Karen has a white rock. The rock has a mass of 14.3g and a volume of 3.2cm3. What is the density of the rock?
Answers
Answer:
The answer is 4.47 g/cm³Step-by-step explanation:
The density of a substance can be found by using the formula
\(density = \frac{mass}{volume} \\\)
From the question
mass = 14.3 g
volume = 3.2 cm³
We have
\(density = \frac{14.3}{3.2} \\ = 4.46875\)
We have the final answer as
4.47 g/cm³Hope this helps you
Answer:
The answer is 4.47 g/cm³
Step-by-step explanation:
The number of customers that visit a local small business is 41,014 and has been continuously declining at a rate of 1.5% each year. What is the approximate number of customers that visit the business in 19 years?
Answers
Answer:
30776.57Step-by-step explanation:
This problem is on exponential decay
we know that the expression for exponential formula is
\(y = ab^x.\)
where
a = the amount before measuring growth or decay
= 41,014
r = decay rate = 1.5%= 0.015
x = number of time intervals that have passed= 19years
since this problem is on decay we are going to replace "b" with (1-r),
hence the formula becomes
\(y = a(1-r)^x.\)
\(y=41014(1-0.23)^1^9 \\\\y=41014(0.985)^1^9 \\\\y=41014(0.985)^1^9\)
\(y=41014(0.985)^1^9\\\\y=41014*0.750392\\\\y= 30776.57\)
The approximate number of customers that visit the business in 19 years
is 30776.57
simplify please help i’ll give brainliest
Answers
Answer:
-2x^2 - 2x + 5
Step-by-step explanation:
Combine like terms (same variable and degree) to simplify
3x^2-5x^2+5x-7x+3+2
-2x^2-2x+5
Answer:
Combining like terms, we get:
-2x² - 2x + 6
The equation C = 75h + 29 represents the total
cost, C, to rent a boat for h hours. If Greg
rented a boat at 7:30 a.m. and paid $385.25
for the rental, what time did he return the
boat?
Answers
385.25 - 29 = 356.25
356.75/75 = 4.75(equivalent to 4 hours 45 minutes)
7:30 + 4:45 = 12:15 p.m.
Andrew says the scale factor used was 3\2. Annie says the scale factor used was 2\3.Which student is correct and why?
Answers
Answer:
Annie is right, beause the coordinates of the points A'B'C' are 2/3 of the coodinates of the points ABC
and the size of the triangle A'B'C' is 2/3 of the size of the triangle ABC
for example:
Side AC lenght is 6 units and A'C' is 4
To go from 6 to 4, the factor must be 2/3
Find the shaded area
Help please
Answers
Answer:
Area= 49\(\pi\) or 153.94 or 147 (Since Pi= 3)
Circumference= 14\(\pi\) or 43.98 or 42 (Since Pi= 3)
Step-by-step explanation:
\(A=\pi rx^{2}\)
\(C=2\pi r\)
A box contains 240 lumps of sugar. Five lumps are fitted across the box and there were three layers. How many lumps are fitted along the box?
Answers
Number of lumps across each layer = 5
Number of layers = 3
Total number of lumps = Number of lumps across each layer × Number of layers
Total number of lumps = 5 × 3 = 15
Therefore, 15 lumps of sugar are fitted along the box.
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We have to accept or reject a large shipment of items. For quality control purposes, we collect a sample of 200 items and find 24 defective items. Construct a 95% percent confidence interval for the proportion of defective items in the whole shipment.
Answers
Answer:
A 95% confidence for the population proportion of defective items in the whole shipment is [0.075, 0.165] .
Step-by-step explanation:
We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.
Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;
P.Q. = \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ~ N(0,1)
where, \(\hat p\) = sample proportion of defective items = \(\frac{24}{200}\) = 0.12
n = sample of items = 200
p = population proportion of defective items
Here for constructing a 95% confidence interval we have used a One-sample z-test statistics for proportions.
So, 95% confidence interval for the population proportion, p is ;
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level
of significance are -1.96 & 1.96}
P(-1.96 < \(\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < 1.96) = 0.95
P( \(-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < \({\hat p-p}\) < \(1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ) = 0.95
P( \(\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) < p < \(\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ) = 0.95
95% confidence interval for p = [ \(\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) , \(\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }\) ]
= [ \(0.12-1.96 \times {\sqrt{\frac{0.12(1-0.12)}{200} } }\) , \(0.12+1.96 \times {\sqrt{\frac{0.12(1-0.12)}{200} } }\) ]
= [0.075, 0.165]
Therefore, a 95% confidence for the population proportion of defective items in the whole shipment is [0.075, 0.165] .
Determine if the list of numbers is an arithmetic sequence by choosing Yes or No. If Yes, then choose the option with the correct common difference “d."
26, 31, 36, 41, 46, . . .
Answers
Answer:
Yes, D = 5
Step-by-step explanation:
26 + 5 = 31, 31 + 5 - 36, and so on. It’s using addition, and is also having a constant difference, so it’s arithmetic.
A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?
Answers
Answer:
58%
Step-by-step explanation:
If A=(-1, -3) and B=(11,-8), what is the length of AB?
A. 14 units
B. 13 units
C. 12 units
D. 11 units
Answers
9514 1404 393
Answer:
B. 13 units
Step-by-step explanation:
The distance formula can be useful.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((11-(-1))² +(-8-(-3))²) = √(12² +(-5)²) = √(144 +25) = √169
d = 13
The length of AB is 13 units.
_____
If you're familiar with a few of the small Pythagorean triples, you would know that for integer coordinates, an integer answer is most likely to be 13. The x- and y-differences in coordinates being 12 and 5 confirm that the (5, 12, 13) triple is being used here.
There are no Pythagorean triples with hypotenuse values of 11, 12, or 14. (3, 4, 5) can be doubled to give (6, 8, 10), but 10 is not a choice.
Help!!!WHOEVER ANSWERS FIRST WITH A GOOD EXPLANATION GETS BRAINLIEST
Answers
Answer:
i believe 43
Step-by-step explanation:
correct me if im wrong..
When you graph y ≥ 2x - 5, what part of the half-plane you will shade?
Correct answer= all my points and brainlist wrong= report and take back my points
Answers
The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.
What is graph of inequality?The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.
In the given problem, the inequality presented is;
y ≥ 2x - 5
To graph this, we would use a graphing calculator to find the boundary lines and plane.
In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.
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The function f is defined by f(x) = 57. What is the value of f(3)?
O 15
O 25
O 53
O 125
Answers
Answer:
53
Step-by-step explanation:
Because
answer to the question
Answers
Answer:
b. DC = 29 and DE = 44.5
Step-by-step explanation:
Given:
AB = 29
BD = 89
Required:
DC and DE
Solution:
✔️DC = AB (opposite sides of a parallelogram are equal)
Therefore,
DC = 29 (Substitution)
✔️DE = half of diagonal BD (Diagonals of a parallelogram bisect each other)
DE = ½(89)
DE = 44.5
Read the following prompt and type your response in the space provided.
Describe the relationship between the probability of an event and its complement.
If the probability of an event is 0.95, what is the probability of its complement?
Answers
The probability of the complement of the event is 0.05.
The complement of an event is the probability of that event not occurring. The relationship between the probability of an event and its complement is that they always add up to 1.
Therefore, if the probability of an event occurring is p, then the probability of its complement not occurring is 1-p.
In the case where the probability of an event is 0.95, the probability of its complement not occurring would be 1-0.95 = 0.05. This means that the probability of the complement of the event is 0.05.
This concept is important in probability theory and is used to calculate the probabilities of events and their complements. It allows us to consider all possible outcomes of a given situation and calculate the likelihood of each of them.
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Will mark brainliest.
Answers
The word that best describes line segment ID in the image given showing a circle is: a chord.
What is a Chord?A chord can simply be described as a line segment in a circle that connects two points on the circumference of a circle to each other.
The largest chord in a circle is a the diameter. A circle can have as many chords as possible.
Considering the image given above, ID is a line segment which connects points I and D which are on the circumference of the circle together. Therefore, ID can best be described as a chord.
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What is the common ratio of the geometric sequence?
Number graph ranging from zero to ten on the x axis and zero to twenty-eight on the y axis. Points are plotted on the graph at (one, eight), (two, twelve), (three, eighteen) and (four, twenty-six point five). The points form a general positive trend.
Answers
A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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A bookcase has 5 of these bookshelves that are 42 inches long. How many FEET of shelf space is there? Explain your reasoning.
Answers
Answer:
17.5
Step-by-step explanation:
The first step is to convert one bookshelf into feet, so 42 divided by 12=\
3.5
Now, we have 5 of these shelves, so we have to do 3.5 x 5=17.5.