Find the arc length of the partial circle. 1/4 missing 4 radius
Answers
The arc length of the given partial circle is 1,080 units.
What is an arc?An arc is, in general, any straight curve that connects two points.The term "arc length" refers to an arc's length. A graph arc is an ordered pair of adjacent vertices in a graph. An arc is specifically any section of a circle's circumference (other than the full curve).So, the arc length is:
The formula of the arc length:Length of an Arc = θ × r, where θ is in radian.The circle is the partial circle by 1/4 missing.
So,
θ = 360/4 = 90θ = 360 - 90θ = 270The radius is already given 4.
Now, substitute values and calculate as follows:
Arc = θ × rArc = 270 × 4Arc = 1,080 unitsTherefore, the arc length of the given partial circle is 1,080 units.
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Related Questions
02: Pretest CR Algebra 2 A / 2:Equations and Functions
Answers
option B is correct, the equation or function of the graph is y≥3/4x-3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through points (4,0) and (0,3)
Slope=3/-4=-3/4
Now let us find y intercept
0=-3/4(4)+b
0=-3+b
b=3
Hence, option B is correct, the equation or function of the graph is y≥3/4x-3.
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Campers Counselors The ratio of campers to counselors at Camp Brady is five to two. As enrollment changes, so too must the number of counselors. Create a table and equation that the camp directors can use to determine the number of counselors, y, for any number of campers, X.
Answers
Answer:
For every 5 campers there are 2 counselers
Please answer this correctly (math)
I really need it to pass
Answers
#2 is D
#3 is B
#4 is A
#5 is C
The second problem is a matter of you drawing yourself. You should probably learn because this math right here will really help you in HighSchool and MiddleSchool. This is basic patterns. Applying each answer to the question and seeing if it works is a great way to answer multiple choice questions.
10
12
16
A
A sequence of transformations maps AABCTO AABC. The sequence of transformations that maps ABC to ABC is a reflection across
followed by a translation
Reset
Next
veyanch 48997633/4
hp
Answers
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
What is the value of 2.3+8−12?
1.) 10.8
2.) 10.3
3.) 9.8
4.) 9.5
Answers
Answer:
2
Step-by-step explanation:
to answer this algebraic question use BDMAS rule
first solve bracket then division, multiplication,addition then subtraction.
6+8-12
14-12
2
Answer:
9.8
Step-by-step explanation:
convert your decimal into a fraction so 2.3= 23/10
23/10 + 8 - 1/2
then calculate your sum or difference
leaving you with
49/5
meaning your answer is
9.8
the wechsler intelligence scale for children (wisc) are normally distributed with a mean of 100 and a standard deviation of 13. a. what is the probability that a randomly selected child has wisc score above 125? express your answer in decimals.
Answers
Answer:
0.0274
Step-by-step explanation:
A z-score measures exactly how many standard deviations above or below the mean a data point is.
The z-score for a normal distribution is given by the formula
\(z = \dfrac{X - \mu}{\sigma}\\where\\\\X = data \;point}\\\mu = mean\\\sigma = standard\; deviation\)
Plugging in values:
X = 125
μ = 100
σ = 13
z = (125-100)/13 = 1.92308
We are asked to find the probability that the score exceeds 125
This is the same as P(z > 1.92308) which is the area to the right of z = 1.92308
P(z > 1.92308) = 0.0274 (from either the tables or calculator)
Which of the following choices is the standard deviation of the sample shown
here?
18, 19, 20, 21, 22
A. 2
B. 12.5
C. 20
D. 2.5
E. square root of 2
Answers
Answer: E. square root of 2
We can write that in shorthand as sqrt(2)
sqrt(2) = 1.41421 approximately
======================================================
Explanation:
Step 1)
Add up the values to get 18+19+20+21+22 = 100
Divide by n = 5, since there are 5 items in the list. So 100/n = 100/5 = 20
The sample mean is xbar = 20
--------------
Step 2)
Subtract the mean from each data value
18 - xbar = 18 - 20 = -219 - xbar = 19 - 20 = -120 - xbar = 20 - 20 = 021 - xbar = 21 - 20 = 122 - xbar = 22 - 20 = 2The results we get are: -2, -1, 0, 1, 2
---------------
Step 3)
Square the results from the previous step
(-2)^2 = 4(-1)^2 = 1(0)^2 = 0(1)^2 = 1(2)^2 = 4The results here are: 4, 1, 0, 1, 4
---------------
Step 4)
Add up those squares from the previous step: 4+1+0+1+4 = 10
Now divide by n = 5 to get 10/n = 10/5 = 2
The result 2 represents the population variance. Applying the square root to the population variance leads to the population standard deviation. So we end up with the final answer of sqrt(2). The answer is choice E.
sqrt(2) = 1.41421 approximately
---------------
Note: if you want the sample standard deviation, then you divide by n-1 = 5-1 = 4, but the other steps are the same as before.
Help me shoe work on this question please
Answers
The line /TV/ that we have been asked to find from the information is the question is obtained as 7.
What is the sine rule?The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.
We know that the missing angle U is obtained from;
180 - (58.3 + 80)
= 41.7°
Then;
8.9/Sin 58.3 = /TV//Sin 41.7
/TV/ = 8.9 Sin 41.7/Sin 58.3
/TV/ = 5.9/0.85
= 7
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Convert 4 liters into gallons. Round your answer to the nearest hundredth.
Answers
it would be 1.06 gallons
hope this helps
Answer:
1.06
Step-by-step explanation:
4 liters = 1.05669 gallons
round it: 1.06
a homeowner has budgeted $10,000 for some home remodeling. a contractor has told him the labor and the cost of materials will be about the same amount. the homeowner wants to have about $3,000 left over for furnishings. how much will the homeowner be able to spend on labor and on materials?
Answers
Answer:
$3,500 labor and $3,500 materials
Step-by-step explanation:
furnishings + labor + materials = 10,000
furnishings = 3000
3000 + labor + materials = 10,000
labor = materials
3000 + labor + labor = 10,000
2(labor) = 7,000
labor = 7,000/2
labor = 3,500
labor = materials = 3,500
write a set of commands in the live script to generate a pascal matrix of size 5 x 5.
Answers
To generate a Pascal matrix of size 5 x 5 in MATLAB live script, you can use the `pascal` function followed by indexing to obtain the desired size.
Here are the commands:
```matlab
p = pascal(5);
p = p(1:5, 1:5);
disp(p)
```
The `pascal` function in MATLAB generates a Pascal matrix of a specified size. The resulting matrix has the same number of rows and columns as the input argument.
To obtain a Pascal matrix of size 5 x 5, we use the `pascal(5)` command. However, this will generate a matrix of size 5 x 5 with extra rows and columns. Therefore, we use indexing to extract the first 5 rows and columns using `p(1:5, 1:5)`.
Lastly, we use `disp(p)` to display the resulting Pascal matrix in the command window.
By using the `pascal` function and indexing, we can easily generate a Pascal matrix of a specified size in MATLAB live script.
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An inequality is shown. 12+11/6x≤ 5+3x Select the statement(s) and number line(s) that can represent the inequality. Click all that apply. a. The solution set is {6, [infinity]} for x ∈ R. b. The solution set is {6, 7, 8, …} for x ∈ N. c. 6 ≤ x d. The value of a number substituted for x is greater than 6. (more options below.)
Answers
Answer:
(a)The solution set is: \(x \in [6, \infty) \forall x \in R\)
(c) \(6 \leq x\)
Step-by-step explanation:
Given the inequality: \(12+\dfrac{11}{6}x\leq 5+3x\)
We solve by collecting like terms
\(12+\dfrac{11}{6}x\leq 5+3x\\12-5\leq 3x-\dfrac{11}{6}x\\7\leq \dfrac{18x-11x}{6}\\42 \leq 7x\\$Divide both sides by 7\\6 \leq x\\$We can re-write this as:\\x\geq 6\)
The solution set is therefore: \(x \in [6, \infty) \forall x \in R\)
The probability of the simultaneous occurrence of two events A and B is equal to the probability of A multiplied by the conditional probability of B giten that A has occurred (it is also equal to the probability of B multiplied by the conditional probability of A given that B has occurred).
Answers
When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.
The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.
Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.
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-2y+4x=14
solve for y:Show your work
Answers
subtract 4x from both sides
-2y=14-4x
divide each side by -2
y=2x+7
after how many years of follow-up would we expect the cumulative incidence of blindness to be 10% among 30-year-old iddm women, if the incidence rate remains constant over time? (round your answer to one decimal place.) years
Answers
After 13 years of follow-up would we expect the cumulative incidence of blindness to be 10% among 30-year-old iddm women, if the incidence rate remains constant over time.
In this question we have been given the annual incidence rate of blindness per year was 0.67% among 30- to 39-year-old male insulin-dependent diabetics (IDDM) and 0.74% among 30- to 39-year-old female insulin-dependent diabetics.
We need to find the number of years after which we expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females, if the incidence rate remains constant over time.
Let n be the number of years to expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females.
The probability of becoming blind over n years is 0.10
Given that the annual incidence rate of blindness per year was 0.74% IDDM females.
This means the rate r = 0.0074
For n years the annual incidence rate of blindness 0.0074n
We need to find the value of n,
0.0074n = 0.10
n = 13.51
n ≈ 13 years
Therefore, the number of years to expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females = 13
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The complete question is:
A study [12] of incidence rates of blindness among insulin-dependent diabetics reported that the annual incidence rate of blindness per year was 0.67% among 30- to 39-year-old male insulin-dependent diabetics (IDDM) and 0.74% among 30- to 39-year-old female insulin-dependent diabetics.
After how many years of follow-up would we expect the cumulative incidence of blindness to be 10% among 30-year-old IDDM females, if the incidence rate remains constant over time?
The function f(x) = x3 + 4 is transformed to give a new function, g(x). The graph of g(x) [red] shows a horizontal shrink compared to the graph of f(x) [blue]. What is the function g(x)?
A.
g(x) = 2(x3 + 4)
B. g(x) = 1/2 (x3 + 4)
C. g(x) = 2x3 + 4
D. g(x) =1/2 x3 + 4
Answers
The function g(x) created after transformation of f(x) is gotten as; g(x) = 2x³ + 4
How to Interpret transformation graphs?From the graph attached, we see that the coordinates of function g(x) are;
At x = -1, g(x) = 2
At x = 0, g(x) = 4
At x = 1, g(x) = 6
Looking at the options, the only one that has this correct input and output values is option C.
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![The function f(x) = x3 + 4 is transformed to give a new function, g(x). The graph of g(x) [red] shows](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/RUvirwo5YSp3vVxHNJLwfXUIFSjYWKSs.jpeg)
In the figure shown, MR = 45 units, and RQ = 15 units. What is the length of PR?
Answers
tan30=(PR)/45
Solving for PR, you can put 45tan30 into the calculator to get approximately 21.981 units.
Describe two ways to write 7/3 as a mixed number
Answers
Answer:
2 1/3 and 1 1/6
Step-by-step explanation:
. the machin series to estimate π proposed in 1706 converges quickly. use an excel spreadsheet to determine how many terms are needed to get π correct to 15 digits
Answers
To determine how many terms are needed in the Machin series to obtain π correct to 15 digits, we can use an Excel spreadsheet to calculate the series iteratively until the desired precision is achieved.
In the spreadsheet, we can set up a column for the terms of the Machin series and another column for the partial sums. Starting with the first term, we calculate the partial sum by adding each term to the previous partial sum. We continue this process until the difference between the partial sum and the actual value of π is less than 0.000000000000001 (10^-15), indicating that we have achieved 15-digit precision.
By monitoring the number of terms required to reach the desired precision, we can determine how many terms are needed to obtain π correct to 15 digits using the Machin series. In the explanation paragraph, you can describe the process of setting up the Excel spreadsheet, including the formulas used to calculate the terms and partial sums, and the condition for stopping the iteration when the desired precision is achieved. Additionally, you can mention the specific number of terms required to obtain π correct to 15 digits based on the results obtained from the Excel spreadsheet.
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find the value of x
2x−3=5
Answers
Answer:
x=4
Step-by-step explanation:
5+3 =8
8/2 = 4
factor 4 in...
(2x4)-3=8
Answer:
X=4
Step-by-step explanation:
Question 20
Figure A is doubled in size then reflected across the x-axis creating Figure B.
How will the coordinates of Figure B differ from Figure A as a result of this series of transformations?
А
two times the x-value and two times the opposite y-value
B the opposite x-value and two times the y-value
С
two times the x-value and two times y-value
D
two times the opposite x-value and the opposite y-value
Answers
Answer:
Two-times the x-value and two-times the opposite y-value.
A manufacturer of widgets finds that the production cost, C, in dollars per unit is a function of the number of widgets produced. The selling price, S, of each widget in dollars is a function of the production cost per unit.
C(x) = –0.1x2 + 100
S(C) = 1.4C
What is the selling price per widget as a function of the number of widgets produced, and what should the selling price be if 15 widgets are produced?
A.C(S(x)) = –0.196x^2 + 100; $108.64
B.C(S(x)) = –0.196x^2 + 100; $55.90
C.S(C(x)) = –0.14x^2 + 140; $144.41
D.S(C(x)) = –0.14x^2 + 140; $108.50
This is a question on composite functions.
Answers
Answer:
S(C(x)) = –0.14x2 + 140; $108.50 - On edgenuity the answer is D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The value of the function at 870, the local maximum, is
= -0.02(870)2 + 34.80(870) - 4700
= -0.02(756900) + 30276 - 4700
= -15138 + 25576
= 10438
So the vertex is (870, 10438)
The cost t the company to produce 870 widgets is
C(870) = 4700 + 5.20(870) = 4700 + 4524 = 9224
So, the cost of the widgets plus the profit must be equal to the total sales, which is divided by the number of widgets reveal their individual price.
(10438 + 9224)/870 = 19662/870 = $22.60
P(x) = 7700
- 0.02x2 + 34.80x - 4700 = 7700
-0.02x2 + 34.80x -12400 = 0
x = {-34.80 ± √[(34.80)2 - 4(-0.02)(-12400)]}/2(-0.02)
x = [-34.80 ± √(1211.04 - 992)]/(-0.04)
x = (-34.80 ± √219.04)/(-0.04)
x = (-34.80 ± 14.8)/(-0.04)
x = 870 ± 370
so, $7700 in profits will be earned at either 500 widgets or 1240 widgets
A reverse osmosis plant is needed to be installed near a village where the drinking water demand is 3000 cubic meter per day. Feed water is extracted from underground at a pressure of 14 bars and sent to single stage reverse osmosis plant. RO element available in market can process up to 40 cubic meter per hr. and a single vessel can accommodate maximum 25 elements. Analysis of underground water of that area shows 3000 ppm salts, where the majority is NaCl. If health organization demands less than 700 ppm of TDS in drinking water, provide the following things.
1. Suggest the feed required for required flow rate of clean water
Answers
162.76 cubic meters per hour of feed water is required to produce 125 cubic meters per hour of clean water.
Feed Required for Required Flow Rate of Clean Water:
The daily water demand is 3000 cubic meters per day, and we can easily calculate the hourly water demand using the following formula:
H= 24Q
Where, H = Hourly Water Demand
Q = Daily Water Demand / 24H = 3000 / 24H = 125 cubic meters per hour
To produce 125 cubic meters per hour of clean water, we will need to supply a higher quantity of water because of the presence of salts. We'll use the following formula to determine the feed water quantity:
F = (Q / (1 - R))
Where,
F = Feed Water Required
Q = Clean Water Required
R = % Recovery
We must first determine the % Recovery.
We can use the following formula to do so:
% Recovery = 100 - % Rejection
We are told that the TDS of the feed water is 3000 ppm and that the drinking water should have less than 700 ppm of TDS. As a result, the % Rejection can be calculated using the following formula:
% Rejection = (3000 - 700) / 3000 * 100
% Rejection = 76.67%
% Recovery = 100 - 76.67% = 23.33%
We can now calculate the Feed Water Required using the formula:
F = (125 / (1 - 0.2333))F = 162.76 cubic meters per hour
Therefore, 162.76 cubic meters per hour of feed water is required to produce 125 cubic meters per hour of clean water.
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help i didnt learn anything the method is distance
Answers
Answer:
10 units
Step-by-step explanation:
Of course you have to graph the two points to find out the answer.
Then you count the units or squares to find out how far they are.
So it was basically 6 units to the right and 4 units up :)
Hope this helped plz mark brainliest :))
what’s the answer ?
Answers
Answer:
EF = 34
Step-by-step explanation:
EF + FG = EG , substitute values
17x + 3x + 7 = 18x + 11, that is
20x + 7 = 18x + 11 ( subtract 18x from both sides )
2x + 7 = 11 ( subtract 7 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus
EF = 17x = 17(2) = 34
Answer:
34
Step-by-step explanation:
g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.
EF=17x, FG= 3x+7, EG = 18x+11
17x+3x+7=18x+11
Combine like terms.
20x+7=18x+11
-7 -18x
Isolate x.
2x = 4
Divide both sides by 2.
x=2
Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.
17x = 17(2) = 34
Slope of a vertical line that goes through the point (6,-5)
Answers
Find the exact value of cosine (startfraction 5 pi over 6 endfraction) cosine (startfraction pi over 12 endfraction) sine (startfraction 5 pi over 6 endfraction) sine (startfraction pi over 12 endfraction)
Answers
The corrected exact values are cosine (5π/6) = -1/2, cosine (π/12) cannot be simplified further, sine (5π/6) = 1/2, sine (π/12) cannot be simplified further.
Let's correct the calculation of the exact values of the given trigonometric expressions:
1. Cosine (5π/6):
The angle 5π/6 is in the second quadrant. The reference angle for 5π/6 is π/6. Since the cosine function is negative in the second quadrant, the exact value is -cos(π/6) = -1/2.
2. Cosine (π/12):
The angle π/12 is not a special angle, so we cannot simplify it further using known exact values.
3. Sine (5π/6):
The angle 5π/6 is in the second quadrant. The reference angle for 5π/6 is π/6. The sine function is positive in the second quadrant, so the exact value is sin(π/6) = 1/2.
4. Sine (π/12):
The angle π/12 is not a special angle, so we cannot simplify it further using known exact values.
Therefore, the corrected exact values are:
cosine (5π/6) = -1/2,
cosine (π/12) cannot be simplified further,
sine (5π/6) = 1/2,
sine (π/12) cannot be simplified further.
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A jar contains 4 green marbles and 6 yellow marbles. Two marbles are drawn, with replacement, from the jar. What is the probability that both marbles are green?
Answers
Answer:
If there are a total of 10 marbles in jar, then It´s a 4/10 chance you get two marbles that are green
Step-by-step explanation:
How do you simplify and verify trig identities?
Answers
In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.
The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.
After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.
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The school newspaper wants to find the opinions of students on availability of campus parking. They send a staff member to stand outside a busy dorm and interview students as they walk in or out of the building. What type of sampling process did the paper use?.
Answers
Answer: single random sample
Step-by-step explanation: