100% is equal to the total earnings in a month which is $4000.So 33% is the rent so you say:
If 100%=4000
33%=?
[(33×4000)÷100]=$ 1320
solve r=4/3(p-q) for p.
Answer:
\(p = \frac{3r}{4} + q \\ \)Step-by-step explanation:
\(r = \frac{4}{3} (p - q)\)
Multiply through by 3 to eliminate the fraction
That's
\(3r = 4(p - q)\)
Divide both sides by 4
\( \frac{3r}{4} = \frac{4(p - q)}{4} \\ p - q = \frac{3r}{4} \)
Move q to the other side of the equation to make p stand alone
We have the final answer as
\(p = \frac{3r}{4} + q \\ \)
Hope this helps you
Using the omission strategy, what value would be placed in the missing observation in x1?
x1x2
76
22
82
91
32
41
88
Options:
84
No value because excluded
83
90
The values in the missing observation are:
X1 X2
76 22
82 25
91 32
101 41
88 28
What is an expression?An expression contains terms with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x1 x2
76 22
82 __
91 32
__ 41
88 28
The difference between each row are:
76 - 22 = 54
82 - 25 = 57
91 - 32 = 59
101 - 41 = 60
88 - 28 = 60
We see that,
57 - 54 = 3
59 - 57 = 2
60 - 59 = 1
60 - 60 = 0
So,
The difference between the numbers is consecutive as 3, 2, 1, 0.
Thus,
The missing values of X1 and X2 are 101 and 25.
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Explain how to describe the data on a histogram.
Answer:
visual interpretation. of numerical data
Step-by-step explanation:
A histogram is a graphical representation of discrete or continuous data. To put it another way, it gives a visual representation of numerical data by displaying the number of data points that fall within a given range of values.
Express 18^1/3 in simplest radical form
Answer:
Step-by-step explanation:
18^1/3
=18/3
18/3=6
Answer- 6
Answer:
\( \sqrt[3]{18} \)
Step-by-step explanation:
\(a^{\frac{1}{n}} = \sqrt[n]{a}\)
\( 18^{\frac{1}{3}} = \sqrt[3]{18} \)
Find the center of mass and the moment of inertia about the y-axis for a thin plate bounded by the x-axis, the lines x=±1, and the parabola y=x2 if δ(x, y)=7y+2
Therefore, the centroid of the plate is at (0, 1/2). Therefore, the moment of inertia about the y-axis is (1/5)δ.
To find the center of mass, we need to find the mass of the plate and the coordinates of its centroid. The mass of the plate is given by:
M = ∬R δ(x, y) dA
where R is the region of integration, δ(x, y) is the density function, and dA is the differential element of area. Since the plate is thin, we can assume that δ(x, y) is constant over the plate, and we can use the double integral to find the mass:
M = ∫_{-1}^1 ∫_{0}^{x^2} (7y + 2) dy dx
= 8
The coordinates of the centroid (X, Y) are given by:
X = (1/M) ∬R x δ(x, y) dA
Y = (1/M) ∬R y δ(x, y) dA
We can use these formulas to find the coordinates of the centroid:
X = (1/8) ∫_{-1}^1 ∫_{0}^{x^2} x (7y + 2) dy dx
= 0
Y = (1/8) ∫_{-1}^1 ∫_{0}^{x^2} y (7y + 2) dy dx
= 1/2
To find the moment of inertia about the y-axis, we use the formula:
I_y = ∬R x^2 δ(x, y) dA
We can evaluate this integral using polar coordinates, since the plate is symmetric about the y-axis. Let r be the distance from the y-axis, and let θ be the angle between the positive x-axis and the line connecting the point (x, y) to the origin. Then we have:
x = r cos θ
y = r sin θ
dA = r dr dθ
The limits of integration are 0 ≤ r ≤ 1 and 0 ≤ θ ≤ π. Substituting these expressions into the formula for I_y, we obtain:
I_y = ∫_{0}^{π} ∫_{0}^{1} r^3 cos^2 θ δ(r cos θ, r sin θ) r dr dθ
Since δ(x, y) is constant, we can pull it out of the integral:
I_y = δ ∫_{0}^{π} ∫_{0}^{1} r^4 cos^2 θ dr dθ
= δ (1/5)
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number 7 please
7. Determine the approximate location of a GPS receiver if it has been determined that: (4 mark) - Station 1 (at 74, 41) is \( 44 \mathrm{~km} \) away. - Station \( 2( \) at 0,43\( ) \) is \( 38 \math
If Station 1 (at 74, 41) is 44 km away and Station 2( at 0,43 ) is 38 km away. The required approximate location of the GPS receiver is (42, 10).
The location of the GPS receiver can be determined with the help of trilateration. Trilateration is a process of determining absolute or relative locations of points by measurement of distances, using the geometry of circles, spheres, or triangles. If three stations (or more) are in known locations, with a known distance from the point of interest, we can determine the position of the GPS receiver with the help of trilateration.
It can be determined by the following method:
1: Plot the given stations on a coordinate plane. Stations are:
Station 1: (74, 41)
Station 2: (0, 43)
2: Calculate the distance of the GPS receiver from each station using the distance formula.
Distance Formula: The distance formula is used to find the distance between two points in the coordinate plane. The distance between points (x1,y1) and (x2,y2) is given by
d = √[(x2 - x1)² + (y2 - y1)²]
Station 1: Distance from station 1 = 44 kmSo, d1 = 44 km
Station 2: Distance from station 2 = 38 kmSo, d2 = 38 km
3: Plot the given distances as the circle on the coordinate plane.
Circle 1: Centred at (74, 41) with a radius of 44 km.
Circle 2: Centred at (0, 43) with a radius of 38 km.
4: The intersection of two circles. Circle 1 and Circle 2 intersect at point P (approx) (42, 10). So, the approximate location of the GPS receiver is (42, 10).
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uppose that the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume is 0.80 Aggregate xpenditures must have increased by Muliple Choice $400 billion $30 billion. 580 bilitio k 5320 billion
If the level of GDP increased by $400 billion in a private closed economy with a marginal propensity to consume of 0.80, aggregate expenditures must have increased by $400 billion.
If the level of GDP increased by $400 billion in a private closed economy where the marginal propensity to consume (MPC) is 0.80, we can calculate the increase in aggregate expenditures.
The marginal propensity to consume (MPC) represents the proportion of additional income that people choose to spend. In this case, with an MPC of 0.80, it means that for every additional dollar of income, people will spend $0.80 and save $0.20.
To calculate the increase in aggregate expenditures, we can use the concept of the expenditure multiplier, which is the inverse of the marginal propensity to save (MPS). The MPS is equal to 1 - MPC.
MPS = 1 - MPC
MPS = 1 - 0.80
MPS = 0.20
The expenditure multiplier (k) is calculated as:
k = 1 / MPS
k = 1 / 0.20
k = 5
Now, we can calculate the increase in aggregate expenditures (ΔAE) using the formula:
ΔAE = ΔGDP × k
ΔAE = $400 billion × 5
ΔAE = $2000 billion
Therefore, the correct answer is $2000 billion.
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we say that four circles have an intersection point at p if at least two of the circles intersect at p. what is the greatest possible number of intersection points of four circles of different sizes
The greatest possible number of intersection points for four circles of different sizes is 12.
The greatest possible number of intersection points of four circles of different sizes can be calculated by considering the maximum number of intersection points each pair of circles can have and then summing them up.
When two circles intersect, they can have a maximum of two intersection points. So, if we have four circles, we can find the maximum number of intersection points by considering each pair of circles separately.
For the first circle, it can intersect with the other three circles at most two times each, giving us a total of 2 * 3 = 6 intersection points.
For the second circle, it can intersect with the remaining two circles at most two times each, giving us a total of 2 * 2 = 4 intersection points.
The third circle can intersect with the last remaining circle at most two times, giving us a total of 2 * 1 = 2 intersection points.
Finally, the fourth circle doesn't have any other circle left to intersect with, so it doesn't contribute any additional intersection points.
Now, we can sum up the intersection points from each pair of circles: 6 + 4 + 2 + 0 = 12.
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a game of chance consists of spinning an arrow on a 3 circular board, divided into 8 equal parts, which comes to rest pointing at one of the numbers 1, 2, 3, ..., 8 which are equally likely outcomes. what is the probability that the arrow will point at (i) an odd number?
The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is 0.5 or 50%.
To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.
Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.
Step 2: Count the total number of odd numbers. There are 4 odd numbers.
Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.
Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.
Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8
Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.
So, the probability that the arrow will point at an odd number is 1/2 or 50%.
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Albert claims that −6 is the greatest integer solution of the inequality 3x−1≤35+9x. Solve the inequality to show if Albert is correct or not.
Answer:
albert einstein
Step-by-step explanation:
Please helppp thanksss
help me please and thank you
Answer: A, C, 57
Step-by-step explanation:
I multiply by 0.40 for the first one, and then multiply by 1.0625. 0.40 = 40% and multiplying by 1.0625 is the same as adding 6.25%. For the second, I multiply by 0.70 because that is 70%. For the last, I multiply by 0.95 for the same reason.
help please its math i really need help
Answer:
m<D = 26
Step-by-step explanation:
Exterior angles thm:
83 + 6x - 4 = 21x + 4
6x + 79 = 21x + 4
6x - 21x = 4 - 79
-15x = -75
x = 5
m<D:
6x - 4
6(5) - 4
30 - 4
26
I will award the right answer brainliest!
Odpowiedź w załączniku
Help me ASAP I’ll mark brainliest
Answer:
4
Step-by-step explanation:
26x+6 - 12x +2 = 14x +4
60-4 = 56
56/14=4
been working on this for a while and can’t figure it out, can someone help?
Answer:
x = 24 4/5
Step-by-step explanation:
Simply reverse this - add 20 to 4, and 3/5 to 1/5, and you have X.
help help help......
========================================================
Explanation:
Point C is located at (-6,3). The x coordinate is x = -6.
Going from x = -6 to x = -1 is 5 units to the right. We move another 5 units to the right to go from x = -1 to x = 4 when arriving at its reflected location (4,3). The y coordinate stays the same the entire time.
It might help to refer to the diagram below.
Use the following function rule to find f(9).
f(x) = 5x - 4
f(9) = ?
41
Step-by-step explanation:
f(x) = 5x - 4
You have to replace 9 to every position x is in.
f(9) = 5×9 - 4
f(9) = 45 - 4
f(9) = 41
Have a good day!
Find the order of every element of (Z18, +).
The order of every element in (Z18, +) is as follows:
Order 1: 0
Order 3: 6, 12
Order 6: 3, 9, 15
Order 9: 2, 4, 8, 10, 14, 16
Order 18: 1, 5, 7, 11, 13, 17
The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):
Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.
Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).
Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).
Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).
Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).
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पाठका सहायताले तलका उखानहरूको अर्थ लेख्नुहोस् : (क) सपनामा खोले खाएको भनेको यही हो
Answer:
pura na hune kaam hunxa vanera jabarjasti garnu. maybe
If the rectangular pyramid shown above is sliced by a plane parallel to the two longer sides of the base and passing through the top vertex, which of the following best describes the cross-section of the pyramid?
The best description of the cross-section of the pyramid when sliced as described is a rectangle.
If the rectangular pyramid is sliced by a plane parallel to the two longer sides of the base and passing through the top vertex, the resulting cross-section will be a rectangle. This is because a plane parallel to the base and passing through the top vertex will cut through the pyramid in a way that preserves the shape of the base.
Since the base of the pyramid is a rectangle, any plane parallel to its longer sides will intersect the pyramid in a rectangular shape. The cross-section will have the same width as the base and a height determined by the distance between the base and the top vertex of the pyramid.
The cross-section will maintain the same proportions as the base and will be a scaled-down version of the original rectangle. It will have parallel sides and four right angles, making it a rectangle.
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In Exercises 13–17, determine conditions on the bi's, if any, in order to guarantee that the linear system is consistent. 15. x1 - 2x2 + 5x3 = bi 4x1 - 5x2 + 8x3 = b2 - 3x1 + 3x2 – 3xz = b₃ 16. xi – 2x2 - xz = b - 4x1 + 5x2 + 2x3 = b2 - 4x1 + 7x2 + 4x3 = bz
Therefore, the linear system is consistent if and only if the bi's satisfy the condition: b + 4b2 ≠ 0.
For the linear system:
\(x_1 - 2x_2 + 5x_3 = b_1\)
\(4x_1 - 5x_2 + 8x_3 = b_2\)
\(-3x_1 + 3x_2 - 3x_3 = b_3\)
We can write the system in the matrix form as AX = B, where
A = [1 -2 5; 4 -5 8; -3 3 -3],
X = [x1; x2; x3],
and B = [b1; b2; b3].
The system is consistent if and only if the rank of the augmented matrix [A|B] is equal to the rank of the coefficient matrix A. The augmented matrix is obtained by appending B to A as an additional column.
So, we form the augmented matrix:
[1 -2 5 | b1]
[4 -5 8 | b2]
[-3 3 -3 | b3]
We perform row operations to obtain the row echelon form of the matrix:
[1 -2 5 | b1]
[0 3 -12 | b2-4b1]
[0 0 0 | b3+3b1-3b2]
The rank of A is 3 because there are three nonzero rows in the row echelon form. So, the system is consistent if and only if the rank of [A|B] is also 3, which means that the third row must not be a pivot row. This gives us the condition:
\(b_3 + 3b_1 - 3b_2 = 0\)
Therefore, the linear system is consistent if and only if the bi's satisfy the condition:
\(b_3 + 3b_1 - 3b_2 = 0\)
For the linear system:
\(x_1 - 2x_2 - x_3 = b\)
\(-4x_1 = b_2\)
We can write the system in the matrix form as AX = B, where
A = [1 -2 -1; -4 0 0],
X = [x1; x2; x3],
and B = [b; b2].
The system is consistent if and only if the rank of the augmented matrix [A|B] is equal to the rank of the coefficient matrix A. The augmented matrix is obtained by appending B to A as an additional column.
So, we form the augmented matrix:
[1 -2 -1 | b]
[-4 0 0 | b2]
We perform row operations to obtain the row echelon form of the matrix:
[1 -2 -1 | b]
[0 -8 -4 | b+4b2]
The rank of A is 2 because there are two nonzero rows in the row echelon form. So, the system is consistent if and only if the rank of [A|B] is also 2, which means that the second row must not be a pivot row. This gives us the condition:
b + 4b2 ≠ 0
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BRAINIEST This is due today whoever answers this will be given brainiest
Answer:
(a) 4
(b) 8 {8, a, b, 3, b, 16, -4, a}
(c) -4a
Step-by-step explanation:
I hope i did it right and helped
Answer:
(a) 4
(b) 8 {8, a, b, 3, b, 16, -4, a}
(c) -4a
Step-by-step explanation:
i think thats correct
could PLZZZZ I NEED bRaInIeSt
Suppose each cube in this figure is a -inch cube. Select all that are true.
The dimensions of this prism are 3 inches × 2 inches × 2 inches.
The volume of this prism is 15 cubic inches.
The volume of this prism with -inch unit cubes is the volume of the prism with 1-inch cubes.
There are 96 cubes in the prism.
Answer:
Can you attach the figure?
Step-by-step explanation:
All of the following are measures of central tendency except the ________.
Select one:
A. None of the answers are correct
B. mode
C. range
D. mean
E. median
All of the following are measures of central tendency except the range.
The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.
On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.
The mode represents the most frequently occurring value(s) in the dataset.
The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.
The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.
Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.
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a sphere is inscribed in a cylinder use complete sentences and geometric formulas to compare the surface area of the sphere and the lateral area of the cylinder
Answer:
They are the same
Step-by-step explanation:
LA cyl =
\(2\pi \: rh\)
SA sphere =
\(4\pi {r}^{2} \)
If the sphere is inscribed in the cylinder, they have the same radius. The height of the cylinder is the diameter (Or 2× radius) of the sphere.
If you substitute 2r for h, then both formulas are
\( 4\pi{r}^{2} \)
15-point question. Pls help
Answer:
3/8
Step-by-step explanation:
There are 8 equal slices so each slice is 1/8th of the whole pizza
1/8+1/8=2/8 he ate right away
2/8+1/8 for what he ate before going to sleep
2/8+1/8=3/8
One of the largest stained glass windows is at
Kennedy International Airport in New York. It
is a rectangle with a height to length ratio of 2
to 25. If the window is 24 feet high, how long
is it?
Answer:
Its 300 ft my guy
Step-by-step explanation:
Pls help ion know how to this jaunt
Answer: a very straight forward b 2 4 and 6 c 9
Step-by-step explanation:
a researcher investigated the relationship between alcohol intake and reaction time in a driving simulation task. participants drank either one ounce or three ounces of alcohol and were then measured on braking speed at a simulated red light. the independent variable was group of answer choices degree of intoxication. red light. braking speed. amount of alcohol.
the researcher investigated the relationship between the independent variable "amount of alcohol" and the dependent variable "braking speed at a simulated red light" in the study.
The independent variable in this study is the "amount of alcohol." Specifically, the researcher manipulated the alcohol intake by assigning participants to one of two groups: one group received one ounce of alcohol, while the other group received three ounces of alcohol. The amount of alcohol consumed is the independent variable because it is controlled and manipulated by the researcher.
The dependent variable in this study is "braking speed at a simulated red light." The researcher measured the participants' reaction time in the driving simulation task by assessing their braking speed when faced with a simulated red light. The dependent variable is the outcome that is expected to be influenced by the independent variable (amount of alcohol), and it is measured to examine the relationship between the two variables.
Therefore, the researcher investigated the relationship between the independent variable "amount of alcohol" and the dependent variable "braking speed at a simulated red light" in the study.
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