In the given diagram, by applying one of the circle theorems, the value of x is 21.4
Circle Geometry : Solve for xFrom the question, we are to solve for the value of x in the given diagram.
The diagram shows a circle.
From one of the circle theorems, we have that
"The angle subtended by an arc at the center of a circle is twice the angle at the circumference"
Thus.
m ∠PNO = 1/2 × m arc PO
m ∠PNO = 1/2 × 120°
From the given information,
m ∠PNO = (5x - 47)°
Then, we can write that
(5x - 47)° = 1/2 × 120°
(5x - 47)° = 60°
5x = 60 + 47
5x = 107
Divide both sides of the equation by 5
5x / 5 = 107 / 5
x = 21.4
Hence, the value of x is 21.4
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A population has SS = 100 and σ2 = 4. What is the value of sum E (X-µ) for the population?
a) 0
b) 25
c) 100
d) 400
A population has SS = 100 and σ2 = 4. What is the value of sum E (X-µ) for the population is A) 0.
Based on the information provided, we are given that a population has SS (sum of squared deviations) = 100 and σ² (population variance) = 4. We are asked to find the value of the sum of E(X-µ) for the population, where E is the expectation operator, X is the random variable representing individual values, and µ is the population mean.
The sum of E(X-µ) for a population is always equal to 0. This is due to the fact that the deviations from the mean, both positive and negative, will cancel each other out when summed up. In mathematical terms:
Σ(X-µ) = 0
This is a fundamental property of the population mean, as it represents the "center" of the distribution of values.
It's worth noting that the given values for SS and σ² aren't directly related to solving this particular question, as they provide information about the dispersion of the data rather than the sum of the deviations from the mean. However, these values can be useful when analyzing other aspects of the population, such as calculating the standard deviation (σ = √σ²). Therefore, the correct option is A.
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Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make? Explain your answer.
Answer:
The answer is 7.2, and if you round it, it would be 7.
Lana had 475 Pokemon cards. She gave her little brother 125 of her cards. What percentage of her cards did Lana give away?
So, Lana gave away 26.32% of he Pokemon cards to her little brother.
To find the percentage of cards Lana gave away, we can use the formula:(Quantity given away / Total quantity) * 100.
In this case, Lana gave away 125 cards out of her total collection of 475 cards.Plugging these values into the formula, we have:
(125 / 475) * 100 = 0.2632 * 100 = 26.32%.
Lana gave away 26.32% of her Pokemon cards to her little brother.
Alternatively, we can calculate the percentage by subtracting the remaining cards from the total and finding the ratio:
Percentage given away
= (Cards given away / Total cards) * 100
= (125 / 475) * 100
= 26.32%.
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The radius of a circle is 10 feet. What is the area of a sector bounded by a 90 arc?
The approximate area of the sector bounded by a 90° arc is 78.5 square feet.
To find the area of a sector bounded by a 90° arc, we need to use the formula for the area of a sector.
The formula for the area of a sector is:
Area = (θ/360) * π * r²
Where:
θ is the central angle of the sector
r is the radius of the circle
In this case, the central angle is 90°, and the radius is 10 feet. Substituting these values into the formula, we can calculate the area of the sector.
Area = (90/360) * π * 10²
= (1/4) * π * 100
= (1/4) * 100π
= 25π
The area of the sector bounded by a 90° arc is 25π square feet.
In terms of an approximate decimal value, we can use the approximation π ≈ 3.14 to calculate an approximate value for the area:
Area ≈ 25 * 3.14
≈ 78.5
The approximate area of the sector bounded by a 90° arc is 78.5 square feet.
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50 points each!!!!!!!!!!
One of tony's friends also has a rectangular aquarium. The dimensions of his friend's tank are each exactly 1 1/4 times the dimensions of tony's tank.
Answer:
gggggggggggggggggggghhhhhhjhhjbbbgvgv vf vfc
Solve the differential equation (y^15 x) dy/dx = 1 + x.
the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16
The given differential equation is y15 x dy/dx = 1 + x. Now, we will solve the given differential equation.
The given differential equation is y15 x dy/dx = 1 + x. Let's bring all y terms to the left and all x terms to the right. We will then have:
y15 dy = (1 + x) dx/x
Integrating both sides, we get:(1/16)y16 = ln |x| + (x/2)2 + C
where C is the arbitrary constant. Multiplying both sides by 16, we get:y16 = 16 ln |x| + 8x2 + C1where C1 = 16C.
Hence, the solution of the given differential equation is:y = [16 ln |x| + 8x2 + C1]1/16
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Find two ratios that are equivalent to15/60
The two equivalent ratios of 15 / 60 are 30/120 and 45 / 180.
What is a ratio?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
The given fraction or ratio is 15 / 60. The equivalent ratio to the 15 / 60 will be written as:-
15 / 60 = 15 x 2 / 60 x 2
15 / 60 = 30 / 120
Multiply the numerator and the denominator by the same number.
15 / 60 = 15 x 3 / 60 x 3
15 / 60 = 45 / 180
Therefore, the two equivalent ratios of 15 / 60 are 30/120 and 45 / 180.
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simplify 8(x+3)^2/2(x+3)
Answer:
8
I sent you a photo so u understand how
If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y = mx + b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:
y=-3/2x+1
Step-by-step explanation:
NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.
Step 1: plot your 2 known points.
Step 2: draw a line that goes between both points
Step 3: find the distance of the points in RISE/RUN format.
-9/6. The slope is negative because the line goes down to the right.
Step 4: find your y-intercept.
1.
Step 5: simplify your equation
-9/6 = -3/2
If the maximum value of y=-3x² + mx + 10 is 37, find the values of m.
Step-by-step explanation:
y = -3x² + mx + 10
dy/dx = -6x + m.
When dy/dx = 0, -6x + m = 0. => x = m/6.
We have y = -3(m/6)² + m(m/6) + 10 = 37.
=> -m²/12 + m²/6 = 27
=> -m² + 2m² = 324
=> m² = 324
=> m = 18 or m = -18.
which of the contexts below represents exponential decline or decay? an elevator descends at a rate of 24 feet per second. money invested in a savings account grows at an annual rate of 2.2%. a car depreciates at a rate of 7.3% per year. a population of 150 bacteria doubles every minute.\
The context that represents exponential decline or decay is: a car depreciates at a rate of 7.3% per year.
Exponential decline or decay refers to a process in which a quantity decreases or diminishes at an accelerating rate over time. Let's analyze each context:
An elevator descends at a rate of 24 feet per second: This represents a constant linear decline, as the elevator is descending at a fixed rate. It does not exhibit exponential decline or decay.
Money invested in a savings account grows at an annual rate of 2.2%: This represents exponential growth, not decline or decay. The money in the savings account is increasing over time, compounded at a fixed annual rate.
A car depreciates at a rate of 7.3% per year: This context represents exponential decline or decay. The car's value decreases each year by 7.3% of its remaining value, leading to an accelerating decrease in its worth over time.
A population of 150 bacteria doubles every minute: This represents exponential growth, not decline or decay. The population is increasing at an accelerating rate, doubling in size every minute.
Among the given contexts, a car depreciating at a rate of 7.3% per year represents exponential decline or decay. The value of the car diminishes at an accelerating rate over time, resulting in a decreasing worth.
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The table below shows the height of a pyramid-shaped candle as it burns.
Please solve the table.
The average rate of change of candle height from time 45 minutes to time 109 minutes is -1 inch per 64 minutes.
What does average rate of change mean?The average rate of change is a measure of how quickly one quantity changes relative to another. It is calculated by dividing the difference between two values by the difference in time between those two values. It is a useful metric when trying to understand the speed at which a given quantity is changing over time.
For example, To calculate the average rate of change in the number of students enrolled in a particular school over the course of 5 years. In year 1, the school had 200 students enrolled and in year 5 it had 350 students enrolled. To calculate the average rate of change, one would divide the difference between the two values (150 students) by the difference in time between them (4 years):
Average rate of change = (350-200) / (5-1) = 150 / 4 = 37.5
This means that, on average, the school's enrollment increased by 37.5 students each year.
The table showing the height of a pyramid candle as it burns can be calculated by dividing the change in height (2 inches) by the change in time (64 minutes).
Change in height = 2 inches
Change in time = 64 minutes
Average rate of change = (2 inches) / (64 minutes) = -1 inch per 64 minutes
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Find the area of a vertical cross section through the center of the base of the cone Hint use the formula A= 1/2 bh
Given the figure of cone
The vertical cross section will be a triangle
Base of the triangle = b = 12 cm
Height of the triangle = h = 32 cm
Area = A
\(A=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot12\cdot32=192\operatorname{cm}^2\)PLEASE HELP !!!!!!!!!!!!!!
Find different pairs of numbers from the list to complete these equations:
24, -12 ,-3 ,-4, -48, -6, 2 ,-8
____ x ____ = -96 ____ ÷ ____ = -96
A possible pair of numbers to complete the second equation is (-8) and 12.
To find different pairs of numbers from the list to complete the equations:
____ x ____ = -96
We can start by listing the factors of -96, which are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±16, ±24, ±32, ±48, ±96.
Since the product of two negative numbers is positive, we need to find two numbers with opposite signs to get a product of -96. The factors of -96 that have opposite signs are: ±1, ±2, ±3, ±4, ±6, ±8, ±12, and ±24.
We can then try different combinations of these factors until we find a pair of numbers that multiply to -96. One such pair is (-8) and 12:
(-8) x 12 = -96
So, one possible pair of numbers to complete the first equation is (-8) and 12.
Next, we need to find different pairs of numbers from the list to complete the equation:
____ ÷ ____ = -96
We can start by dividing -96 by each of the given numbers in the list to see if we get an integer result:
-96 ÷ 24 = -4
-96 ÷ (-12) = 8
-96 ÷ (-3) = 32
-96 ÷ (-4) = 24
-96 ÷ (-48) = 2
-96 ÷ (-6) = 16
-96 ÷ 2 = -48
-96 ÷ (-8) = 12
We can see that the only pair of numbers that gives a quotient of -96 is (-8) and 12:
-96 ÷ (-8) = 12
Therefore, a possible pair of numbers to complete the second equation is (-8) and 12.
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You have a circular loop of wire in the plane of the page with an initial radius of 0.40 m which expands to a radius of 1.00 m. It sits in a constant magnetic field B = 24 mT pointing into the page. Assume the transformation occurs over 1.0 second and no part of the wire exits the field. Also assume an internal resistance of 30 Ω. What average current is produced within the loop and in which direction? Express your answer with the appropriate units. Enter positive value if the current is clockwise and negative value if the current is counterclockwise. My INCORRECT work: emf = -BAcos(theta)/dt emf = -B*1*(dA/dt) emf = -B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1) Then V=IR so emf=IR so I=emf/R I = -[B*pi*(2*(expansion rate/1)^2*t+2*r0*(expansion rate/1)]/R I = -[24x10^-3*pi*(2*.6^2*1+2*.4*.6)]/30 I ~ -3.015928947x10^-3 I ~ -3.0x10^-3 Which is wrong.
In the given scenario, the average current produced within the loop is approximately 2.13 A.
We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.
The following equation provides the magnetic flux across a loop:
Φ = B * A * cos(θ)
ΔΦ = B * ΔA
ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²
So,
ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T
emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V
As:
emf = I * R
So, again
I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A
Thus, the average current produced within the loop is approximately 2.13 A.
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I need help for this one too
Can I plz get some help plz Brainly
Answer:
5n/2
Step-by-step explanation:
The answer is C
Answer:
C.
Step-by-step explanation:
5 times a number (n) / 2 as a quotient
Find a rational number that is between 5.2 and 5.5. Explain why it is rational
5.3
It is a rational number because 5.3 can be made into a fraction or ratio .
hope it helps!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer:
1
Step-by-step explanation:
Given table:
x -1 1 3 5
y -2 0 2 4
Unknown:
Slope of the line = ?
Solution:
Each x and y pair on the table lies on the line. Therefore, we can use them to find the slope;
Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
let us take;
x₁ = -1 x₂ = 3
y₁ = -2 y₂ = 2
Insert the parameters and solve;
Slope = \(\frac{2 - (-2)}{3- (-1)}\) = \(\frac{4}{4}\) = 1
The slope of the line is 1
how do you evaluate 181
Answer:
The result can be shown in multiple forms.
Exact Form:
181
142
Decimal Form:
1.27464788
…
Mixed Number Form:
1
39
142
([)]|√>≥π
789÷<≤
456/×!
123-^
0.,+%=
Step-by-step explanation:
that is the answer hope you enjoy
5 x 1 please?? im teaching my cousin right now
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
Step-by-step explanation:
let m2 be x
then m1 = 4x
Since, m1+m2 = 115
therefore x + 4x = 115
5x = 115
x = 23
so , m2 = 23°
Answer:
Step-by-step explanation:
Let m2 be x
Then m1 will be= 4x
A/Q
--> m1+m2= 115
4x+x= 115
5x= 115
x=115/5
x= 23
--> m2= 23 degree
--> m1= 4x
= 4*23
= 92 degree
Need help with this geometry question.
Answer:
x = 80
Step-by-step explanation:
if ray RU bisects <QRS that means it divided the angle into two equal parts
then we can write the following equation to find the value of x:
<SRU = <QRU
50 = (x/2 + 10) subtract 10 from both sides
40 = x/2 multiply both sides with 2
80 = x
<QRS = 100 because it's the sum of <SRU and <QRU
Simplify 15(10-4-2)
14
015/2
52-4110
O 105-4110
\(\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}\)
let's simplify ~
\(\qquad \sf \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )\)
\(\qquad \sf \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)} \)
\(\qquad \sf \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10} \)
Which is the graph of inequality 2 - (x + 3) < 4 - 2x?
Answer:
x<5
Step-by-step explanation:
Need answers quickly need it step by step
(−5)2 −2×(−9)+6=
(−9)−(−8)+2×42=
8÷(−4)×(−6)2 +7=
10×5−(−6)2 +(−8)=
(10 ÷ (−5) − (−2)) × (−3)3=
3×10+8−42=
(−3)3 −2+8÷(−8)=
4×(−8)+6−(−2)3=
(−5)2 ×3÷5+9=
4 × (−6) ÷ 8 + 33=
Thanks
Answer:
Step-by-step explanation:
1. -10+18+6=8+6=14
2. -1+84=83
3. -2×(−6)2 +7=12×2+7=24+7=31
4. 50-(−6)2 +(−8)=50+12-8=62-8=54
5. (-2+2)× (−3)3=0× (−3)3=0
6. 30+8-42=38-42=-4
7. -9-2-1=-12
8. -32+6+6=-20
9. -10×3÷5+9=-30÷5+9=-6+9=3
10. -24÷ 8 + 33=-3+33=30
For the following frequency distribution of quiz scores, how many individuals took the quiz (N)?
X f
5 6
4 5
3 5
2 3
1 2
ANSWERS:
A. 5
B. 15
C. Cannot determine
D. 21
The number of individuals who took the quiz is D) 21.
To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.
Let's add up the frequencies:
6 + 5 + 5 + 3 + 2 = 21
The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.
Therefore, the correct answer is D. 21.
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find the range of the function for the given domain.
Answer: {5, -7, -19, -27, -35}
Step-by-step explanation:
In order solve this, we need to plug in the values of x into the table.
For spaces on the left of the equals sign, you need to write each x from the domain. You can then match that x-value with its function value by putting that on the right side.
For each equation, we are simply plugging a number from the domain into the function and replacing the x-value:
\(f(-1) = -4(-1) + 1 = 5\\f(2) = -4(2) + 1 = -7\\f(5) = -4(5) + 1 = -19\\f(7) = -4(7) + 1 = -27\\f(9) = -4(9) + 1 = -35\)
I hope this helps. If you need any extra explanation on how the functions are set up, please let me know.
if p = 2-5 and q = 8x3 find 3p-q
Answer:
3p - q = 3(2-5) - (8x3) = -9 - 24 = -33. Therefore, 3p-q=-33.
Select the correct answer.
An image of two lines m and n parallel to each other. Lines p and q are parallel to each other. Line p and n for a hundred degrees angle. The angle formed by lines q and m is marked x.In the figure, lines m and n are parallel to each other. Lines p and q are also parallel to each other. What is the value of x?
A.
40°
B.
80°
C.
100°
D.
180°
if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
What are Parallel lines?Parallel lines are coplanar infinite straight lines that do not intersect at any point.
The known angle is supplementary with angle A (Look at the attachment), that means that the sum of the known angle and A is 180°, therefore the value of angle A is 80°
Angle A and B are corresponding angles, which means that they have the same value, that happens because p and q are parallels and both cut line n in the same way. the value of the angles B is 80°
Angles B and C are corresponding too, so the value of the angle C is 80°.
Angles C and X are supplementary too for which the sum of X and C is 180°, so the value of X is 100°
Hence, if Lines p and q are also parallel to each other then value of x is 100, option C is correct.
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