Answers
The area if the red target is the area of the largest circle minus the second to the largest circle plus the area of the third largest circle minus the area of the smaller circle
A=pi(30.0)^2 - pi(22.5)^2 + pi(15.0)^2- pi(7.5)^2
A=900pi-506.25pi+225pi-56.25pi
A=562.5pi is approximately 1767 cm^2
Related Questions
What is the distance between the points?
*
T(2,-2)
W(4,5)
Answers
Answer:
The answer is
\(\sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
T(2,-2) , W(4,5)
The distance between them is
\( |TW| = \sqrt{ ({2 - 4})^{2} + ({ - 2 - 5})^{2} } \\ = \sqrt{( { - 2})^{2} + ( { - 7})^{2} } \\ = \sqrt{4 + 49} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \\ = 7.2801...\)
We have the final answer as
\( \sqrt{53} \: \: \: or \: \: \: 7.28 \: \: \: \: units\)
Hope this helps you
the stock market game in values over the first 4 days of the week
Answers
Answer:
-42.91
Step-by-step explanation:
On Friday it lost money meaning negative.
Which set of ordered pairs (x,y)(x,y) could represent a linear function? \mathbf{A}= A= \,\,\left\{(-4, 2),\,\,(-2, 3),\,\,(2, 5),\,\,(4, 6)\right\} {(−4,2),(−2,3),(2,5),(4,6)} \mathbf{B}= B= \,\,\left\{(1, 2),\,\,(3, 4),\,\,(5, 6),\,\,(6, 8)\right\} {(1,2),(3,4),(5,6),(6,8)} \mathbf{C}= C= \,\,\left\{(-1, -1),\,\,(0, 2),\,\,(1, 4),\,\,(2, 6)\right\} {(−1,−1),(0,2),(1,4),(2,6)} \mathbf{D}= D= \,\,\left\{(2, 9),\,\,(4, 6),\,\,(5, 3),\,\,(6, 0)\right\} {(2,9),(4,6),(5,3),(6,0)}
Answers
The sets of ordered pairs that could represent a linear function are A and D.
What is linear function ?
A linear function is a mathematical function that can be graphically represented as a straight line. It has a constant rate of change between any two points, which means that the slope (i.e., the steepness of the line) is constant.
To determine if a set of ordered pairs can represent a linear function, we need to check if there is a constant rate of change (i.e., a constant slope) between any two pairs of points. If there is a constant rate of change, then the set of ordered pairs could represent a linear function.
Let's check each set of ordered pairs:
A = {(-4, 2), (-2, 3), (2, 5), (4, 6)}
The rate of change between (-4, 2) and (-2, 3) is 1/2.
The rate of change between (-2, 3) and (2, 5) is 1/2.
The rate of change between (2, 5) and (4, 6) is 1/2.
Therefore, the set A could represent a linear function.
B = {(1, 2), (3, 4), (5, 6), (6, 8)}
The rate of change between (1, 2) and (3, 4) is 1.
The rate of change between (3, 4) and (5, 6) is 1.
The rate of change between (5, 6) and (6, 8) is 2.
Therefore, the set B could not represent a linear function.
C = {(-1, -1), (0, 2), (1, 4), (2, 6)}
The rate of change between (-1, -1) and (0, 2) is 3.
The rate of change between (0, 2) and (1, 4) is 2.
The rate of change between (1, 4) and (2, 6) is 2.
Therefore, the set C could not represent a linear function.
D = {(2, 9), (4, 6), (5, 3), (6, 0)}
The rate of change between (2, 9) and (4, 6) is -1.5.
The rate of change between (4, 6) and (5, 3) is -3.
The rate of change between (5, 3) and (6, 0) is -3.
Therefore, the set D could represent a linear function.
Therefore, the sets of ordered pairs that could represent a linear function are A and D.
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a researcher observed elementary school children in a rural setting vs. an urban setting. she believes the proportion of students who get the recommended amount of daily exercise may be different for students in the urban vs. rural setting. group n mean s rural (1) 18 2.03 0.87 urban (2) 18 1.67 0.942
Answers
The most appropriate test here is sample t-test, the parameter of interests would be population proportion and direction of test be positive.
Given that researcher observed elementary school children in a rural setting vs. an urban setting and group and mean is shown in attached image.
(1) The most appropriate test here to test the claim: is two independent samples t-test.
(2) My parameter of interest would be μ₁-μ₂: population means difference of the number of hours played outside.
(3) The direction of test would be: positive, because
H₀: Null Hypothesis: μ₁-μ₂≤0: ((The mean amount of hours played outside for rural setting is not higher than the mean amount of hours played outside for urban setting)
H₁: Alternative Hypothesis: μ₁-μ₂>0 ((The mean amount of hours played outside for rural setting is higher than the mean amount of hours played outside for urban setting)
Hence, for researcher observed elementary school children in a rural setting vs. an urban setting and group and mean is shown in attached image the most appropriate test here is sample t-test, the parameter of interests would be population proportion and direction of test be positive.
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13. Complete the paragraph proof.
Given: 21 and 22 are supplementary, and 22 and 23 are supplementary.
Prove: 21223
By definition of supplementary angles, m_1 = m22 = (a) and m22 - mz3 = (6)
Then, m_1 - m42 = m_2 + m23 by the
(c). Subtract mZ2 from each side. You
get m2l= (d), or 21 (e)
Answers
The complete paragraph proof is explained below.
What are supplementary angles?Two or more given angles are said to be supplementary when on adding there individual measure, it produce the sum of angles on a straight line i.e. 180^o.
To complete the paragraph proof, we have;
m<1 + m< = 180^o (definition of supplementary angles)
m<2 - m<3 = m<2 - m<1
m<1 + m<2 = m<2 + m<3 (by the addition property of supplementary angles)
subtract m<2 from each side,
m<1 + m<2 - m<2 = m<2 + m<3 - m<2
you will get;
m<1 = m<3
Therefore, m<1 ≅ m<3
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11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
Answers
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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Students at a liberal arts college study for an average of 10 hours per week with a standard deviation of 4 hours per week. The distribution of their study time happens to be skewed to left. At least 75% of students study between 2 and B hours a week. What is the value of B
Answers
The value of B, representing the upper limit of study time for at least 75% of students at the liberal arts college, is approximately 12.696 hours per week. This means that between 2 and 12.696 hours per week is the range in which at least 75% of students study.
To find B, we need to calculate the z-score corresponding to the 75th percentile of the distribution. Given that the average study time is 10 hours per week with a standard deviation of 4 hours per week, we can use the z-score formula (z = (X - μ) / σ) to determine the z-score.
Using the formula, we have:
z = (B - 10) / 4
To find the z-score corresponding to the 75th percentile, we refer to the standard normal distribution table or use statistical software. The z-score that corresponds to the 75th percentile is approximately 0.674.
Now, we can solve for B:
0.674 = (B - 10) / 4
Simplifying the equation, we have:
B - 10 = 0.674 * 4
B - 10 = 2.696
B = 12.696
Therefore, the value of B is approximately 12.696 hours per week. This means that at least 75% of students study between 2 and 12.696 hours per week.
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Find the percent of the total area under the standard normal curve between the following z-scores. z=−1.5 and z=−0.7 The percent of the total area between z=−1.5 and z=−0.7 is %. (Round to the nearest integer.)
Answers
The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is 18%.
To find the percent of the total area between two z-scores, we need to calculate the area under the standard normal curve between those two z-scores.
Using a standard normal distribution table or a statistical software, we can find the area to the left of each z-score and subtract the smaller area from the larger area to find the area between the z-scores.
For z = -1.5, the area to the left of z = -1.5 is approximately 0.0668.
For z = -0.7, the area to the left of z = -0.7 is approximately 0.2420.
The area between z = -1.5 and z = -0.7 is:
Area between z = -1.5 and z = -0.7 = Area to the left of z = -0.7 - Area to the left of z = -1.5
= 0.2420 - 0.0668
= 0.1752
To convert this area to a percentage, we multiply by 100:
Percentage of the total area between z = -1.5 and z = -0.7 = 0.1752 * 100 ≈ 17.52%
Rounding to the nearest integer, the percent of the total area between z = -1.5 and z = -0.7 is 18%.
The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is approximately 18%.
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Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?
7 x + 4 minus x minus 2. 7 x minus x + 4 minus 2. (7 minus 1) x + 4 minus 2. 6 x + 2.
A.commutative, distributive, and addition
B.commutative, associative, and addition
C.associative, distributive, and addition
D.distributive, associative, and commutative
Answers
A right prism has a triangular base. The length of the base is 12 yards and the height of the base is 3 yards. The height of the prism is 3.5 yards.
What is the volume of the prism?
39.5 yd³
52.5 yd³
63 yd³
126 yd³
Answers
A=Bh
A=bxhxh
A=12x3x0.5x3.5
A=63 yd cubed
Answer:
C. 63 yd³. I took the test.
If the stream narrows from 30 feet to 20 feet, which of the following statments will be true. a. The width of the stream decreased and the velocity should decrease also. b. The width of the stream has narrowed and the velocity should increase. c. The width of the stream has narrowed and the velocity should stay the same.
Answers
If the stream narrows from 30 feet to 20 feet, the width of the stream has narrowed, and the velocity should increase. The correct answer is b.
According to the principle of conservation of mass, when the width of a stream narrows, the volume flow rate (the amount of water passing through a given point per unit time) must remain constant if there are no other factors involved.
The volume flow rate (Q) can be calculated as the product of the cross-sectional area (A) and the velocity (v): Q = A * v.
When the width of the stream narrows from 30 feet to 20 feet while the volume flow rate remains constant, the cross-sectional area decreases. To maintain a constant volume flow rate, the velocity must increase.
This is because the same amount of water is passing through a smaller cross-sectional area, requiring an increase in velocity to compensate for the reduced width.
Therefore, the correct statement is that the width of the stream has narrowed, and the velocity should increase.
The correct answer is b.
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A shipping container will be used to transport several 130-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 11400 kilograms have already been loaded into
the container. What is the greatest number of 130-kilogram crates that can be loaded
into the shipping container?
Answers
Answer:
Thebecks u
Step-by-step explanation:
its 93
The greatest number of 130-kilogram crates that can be loaded into the shipping container is 116.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
The weight that can be loaded on the container
= Total weight capacity of container - Weight that is already present on the container
= 26,500 kilograms - 11,400 kilograms
= 15,100 kilograms
Now, the number of crates that can be put in the container,
Number of crates
= Weight that can be loaded on the container / Weight of a crate
= 15,100 kilograms / 130 kilograms
= 116.1538 ≈ 116
Hence, the greatest number of 130-kilogram crates that can be loaded into the shipping container is 116.
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Express the following as a unit rate :
5 croissants for $10
Answers
Answer:
$2/croissant
Step-by-step explanation:
$10÷ 5croissants = $2/ 1 croissant
Which function models the data in the table below?
y = -1/2x + 5
y = -2x + 5
y = -1/2x + 10
y = -2x + 10
Answers
The function that models the data in the given table is: D. y = -2x + 10.
How to Write the Function that Models the Data in a Table?The function that models the data of a table can be expressed in the slope-intercept form as y = mx + b, where:
the slope = m = change in y / change in x.y-intercept = b.Find the slope of the function using two pairs of values from the table, (6, -2) and (10, -10):
Slope (m) = change in y / change in x = (-10 - (-2)) / (10 - 6)
Slope (m) = -8 / 4
Slope (m) = -2
Find the y-intercept (b) by substituting m = -2 and (x, y) = (6, -2) into y = mx + b:
-2 = -2(6) + b
-2 = -12 + b
-2 + 12 = b
10 = b
b = 10
To write the function, substitute m = -2 and b = 10 into y = mx + b:
y = -2x + 10
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Let us consider a circle of radius 2 cm. If an arc of this circle subtends an angle of 20 radian to the centre, then what is the length of the arc and area of the sector such formed?
Answers
The area of the sector is 40 cm².
Let us consider a circle of radius 2 cm. If an arc of this circle subtends an angle of 20 radian to the centre, then the length of the arc and area of the sector such formed are as follows:Length of the arcThe arc length of a circle is given by the formula L = rθ where r is the radius of the circle and θ is the angle subtended by the arc of the circle in radians.L = rθWhere L = Length of the arc, r = radius of the circle and θ = angle subtended by the arc of the circle in radians.Substituting the values r = 2 cm and θ = 20 radians, we have:L = 2 x 20 cmL = 40 cmTherefore, the length of the arc is 40 cm.Area of the sectorThe area of a sector is given by the formula A = (1/2) r²θ where r is the radius of the circle and θ is the angle subtended by the arc of the circle in radians.A = (1/2) r²θWhere A = area of the sector, r = radius of the circle and θ = angle subtended by the arc of the circle in radians.Substituting the values r = 2 cm and θ = 20 radians, we have:A = (1/2) x 2² x 20A = (1/2) x 4 x 20A = 40 cm²Therefore, the area of the sector is 40 cm².
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Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Answers
Answer:
Hannah is correct
Step-by-step explanation:
If it's a repeating decimal, is would be represented by 2.11 ..... But, that's not how it's represented. Therefore, Hannah is correct.
I hope this helps!
Which equation represents the same line as the points in the table
Answers
Answer: 1st one
Step-by-step explanation:
Slope formula: y2-y1/x2-x1
-2-0/0-(-6)
Slope: -1/3
Y-0=-1/3(x+6)
ANSWER:
Y=-1/3x-2
I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer but not that long. So enjoy your day.
Answers
Answer:
100×300=3000
Step-by-step explanation:
hope the picture attached helps
f(t)=t^2-3t
g(t)=2t+1
find f(g(t))
Answers
Answer:
\(f (2t + 1) = 4t^{2} - 2t - 2\)
The probability of a state being empty at Ev - kT is equal to the probability of a state being filled at Ev - 3 kT. Where is the Fermi level located
Answers
The Fermi level corresponds to the energy where the probability of occupation is 50% at absolute zero temperature.
The actual position of the Fermi level in a specific material can be influenced by various factors, such as the density of states and the doping level.
In the context of physics and semiconductor materials,
The Fermi level refers to the energy level in a material ,
That has a 50% probability of being occupied by an electron at absolute zero temperature (0 Kelvin or -273.15 degrees Celsius).
The given statement suggests that the probability of a state being empty at energy Ev - kT
where k is the Boltzmann constant and T is the temperature is equal to,
The probability of a state being filled at energy Ev - 3kT.
This implies that the energy difference between the two states is 2kT.
Assuming that Ev is the energy of the Fermi level, we can conclude that the Fermi level is located at energy Ev - 2kT.
The Fermi level is shifted by an energy equal to 2kT from the energy at which the probability of occupation changes from empty to filled.
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Which relation represents a function
Answers
Answer:
A relation is a function if each element of the domain is paired with exactly one element of the range. If given a graph, this means that it must pass the vertical line test.
Step-by-step explanation:
Answer:
A and C
on edmentum
in a study, of adults questioned reported that their health was excellent. a researcher wishes to study the health of people living close to a nuclear power plant. among adults randomly selected from this area, only reported that their health was excellent. find the probability that when adults are randomly selected, or fewer are in excellent health.
Answers
The probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤)
The given data says that of adults questioned reported that their health was excellent and a researcher wishes to study the health of people living close to a nuclear power plant. Among adults randomly selected from this area, only reported that their health was excellent.The total adults who participated in the study are not given, so we cannot calculate the probability of randomly selecting adults from the given area. But, we can find the probability of adults who have excellent health from this area that is less than or equal to .To find the probability, we can use binomial distribution theory.
A binomial distribution is a discrete probability distribution of the number of successes in a sequence of independent trials with a given probability of success in each trial.Mathematically, a binomial distribution is represented by:P(x) = (nCx) px(1−p) n−xHere, n is the number of trials, p is the probability of success, and x is the number of successes.Using the above formula, we can find the probability of randomly selecting x adults having excellent health from n adults who participated in the study.
The probability of randomly selecting or fewer adults having excellent health is given by the sum of probabilities of randomly selecting 0, 1, 2, … , , , adult(s) having excellent health.P(X≤x)= P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)Therefore, the probability of randomly selecting or fewer adults having excellent health is:P(X≤) = P(X=0) + P(X=1) + P(X=2) + … + P(X=) + P(X=)= (nC0) p0(1−p) n−0+ (nC1) p1(1−p) n−1+ (nC2) p2(1−p) n−2+ …+ (nC) p(1−p) n−= ∑ P(X≤) , where x=≤nCalculate the value of P(X≤) using the given information.
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John owed his brother $25.75, but was able to pay him back $19.45. How much does John owe brother owe now?
Answers
Answer:
$6.30
Step-by-step explanation:
So we are going to subtract what is owed by what is payed back to find out how much John owes his brother
$25.75 - $19.45 = $6.30
John owes his brother $6.30
2. What is the midpoint of the line segment with endpoints (-7, 2) and (13,-6)?
Answers
Answer:
The midpoint is (3, -2)
Step-by-step explanation:
\(m = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2})\\m = (\frac{-7 + 13}{2}, \frac{2-6}{2})\\m = (\frac{6}{2}, \frac{-4}{2})\\m = (3, -2)\)
I bought a pack of 6 water bottles for $3. how much is it for 2 water
Answers
Answer:
$1
Step-by-step explanation:
$3 / 6 = 0.5
0.5 x 2 = $1
plz help me its my last ? on it and I really do not get it
Answers
Answer:
41
Step-by-step explanation:
180-(2x+7)+3x-10=180
180-2x-7+3x-10=180
163+x=180
x=17
B=17×3-10=41
Answer:
angle b = 41
Step-by-step explanation:
Start by writing out the equation it wants you to solve. If the question is asking fr angle b and angle b is equal to angle a you will have the equation:
3x-10=2x+7 where 3x-10 is angle b and 2x+7 is angle a
you are now going to solve for x, and to do that you want the x on only one side of the equation. Start by subtracting 2x-2x on the right side, which equals 0 and 3x-2x on the left side which equals 1x also written as just x. Whatever operation you do to one side, you do to the other. This leaves you with:
x-10=7
from here add -10+10 to get 0 and 7+10 to get 17 now you have:
x=17
now go back to the original equation:
B=3x-10 and substitute x with 17
B=3(17)-10
now solve the equation using your order of operations
B=3(17)-10
B=51-10
B=41
Simplify (2^3)^-2
A. -1/64
B. 1/64
C. 2
D. 64
Answers
Answer:
B, 1/64
Step-by-step explanation:
\(2^{3}\) = 8
\(8^{-2}\) = \(\frac{1}{8^2}\) = \(\frac{1}{64}\)
Answer:
B. 1/64
Step-by-step explanation:
Got it right on the assignment
please help, my time is running out
Answers
Answer: 40 ?
Step-by-step explanation:
A, B & C form the vertices of a triangle, where
∠
CAB = 90°.
AB = 10.3 m and AC = 5.4m.
Evaluate
∠
ACB, giving your answer rounded to 3 SF
Answers
In a triangle with vertices A, B, and C, where angle CAB is a right angle, the lengths of sides AB and AC are given. The task is to find the measure of angle ACB, rounded to three significant figures.
In a right-angled triangle, the angle opposite the right angle is always 90 degrees. In this case, angle CAB is a right angle. Therefore, angle ACB is the remaining angle in the triangle that needs to be evaluated.
To find the measure of angle ACB, we can use trigonometric ratios. The most appropriate ratio to use in this case is the tangent ratio, which is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Using the given lengths of sides AB and AC, we can calculate the tangent of angle ACB as:
tan(ACB) = AB / AC
Substituting the values, we have:
tan(ACB) = 10.3 / 5.4
Using a scientific calculator, we can find the value of the tangent and then take the inverse tangent to find the measure of angle ACB.
ACB ≈ arctan(10.3 / 5.4)
Evaluating this expression, we find:
ACB ≈ 63.717 degrees
Rounding to three significant figures, the measure of angle ACB is approximately 63.7 degrees.
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five friends split a restaurant bill evenly. The total cost of the meal is $89.75 and they want to leave a 20% tip. what amount should each friend pay
Answers
The amount each friend should pay is $21.54
How to determine what amount should each friend payFrom the question, we have the following parameters that can be used in our computation:
Cost = 89.75
Tip = 20%
The amount to be paid by each friend is calculated as
Unit cost = Cost * (1 + Tip)/5
Substitute the known values in the above equation, so, we have the following representation
Unit cost = 89.75 * (1 + 20%)/5
Evaluate
Unit cost = 21.54
Hence, the amount is 21.54
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