Joint variation
Here
\(\\ \rm\Rrightarrow z=kxy^2\)
Remove k\(\\ \rm\Rrightarrow z\propto xy^2\)
Three variables are present hence joint variation
marcels financial goal is to purchase a house to make Marcels financial goal of purchasing a house a specific goal he can
Marcel can set a goal of purchasing the house in 5 years. The timeframe Factor enables Marcel to work towards his financial goal within a specified period.
Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can identify the following factors:
Specificity: Marcel should specify the type of house he wants to purchase. This includes the size of the house, the number of rooms, the location, the neighborhood, and the amenities he wants in the house. For instance, Marcel can specify that he wants to purchase a 3-bedroom bungalow house located in a suburban area.
Measurability: Marcel should identify how much money he needs to purchase the house. This means that he should set a financial target that he wants to achieve to be able to purchase the house. For instance, Marcel can set a target of saving $100,000 in 3 years to purchase the house. The measurability factor enables Marcel to track his progress toward achieving his financial goal.
Attainability: Marcel should set a financial goal that is achievable based on his income and financial situation. For instance, if Marcel's current income cannot enable him to save $100,000 in 3 years, he can adjust his financial goal to suit his financial situation.
Realistic: Marcel should set a realistic financial goal that he can achieve given his resources and time frame. For instance, Marcel should not set a financial goal that is too high that he cannot achieve it or too low that it does not challenge him.
Time-bound: Marcel should set a timeframe within which he wants to achieve his financial goal. This means that Marcel should set a specific date by which he wants to purchase the house.
For instance, Marcel can set a goal of purchasing the house in 5 years. The timeframe factor enables Marcel to work towards his financial goal within a specified period.
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answer quick pls due today
Answer:
A
Step-by-step explanation:
Answer:
$17.17! I really hope this helped kiddo :3
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
How do I do number 1??
Help me it’s due tomorrow!!!
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
We have,
In a parallelogram,
- Opposite sides are congruent:
The opposite sides of a parallelogram have equal lengths.
- Opposite angles are congruent:
The opposite angles of a parallelogram have equal
Now,
a)
Opposite angles are congruent:
So,
5x + 29 = 7x - 11
29 + 11 = 7x - 5x
40 = 2x
2x = 40
x = 40/2
x = 20
And,
3y + 15 = 5y - 9
15 + 9 = 5y - 3y
24 = 2y
y = 24/2
y = 12
b)
Opposite sides are congruent:
So,
-6x = -4x + 6
-6x + 4x = 6
-2x = 6
x = -3
And,
7y + 3 = 12y - 7
12y - 7y = 3 + 7
5y = 10
y = 2
Thus,
The values of x and y are 20 and 12.
The values of x and y are -3 and 2.
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What is the median of the data set 11,13,15,21,23,31,31,33?
A. 31
B. 21
OC. 23
D. 22
Median:
The median in this set is the 5th term.
Therefore the median in this set is 23.
I want to solve for x
Answer:
x = \(\frac{A*t^2}{800}\)
Step-by-step explanation:
First move t² to the left side by multiplying it.
A×t² = 800x - to get rid of 800, we divide both sides by 800. This isolates x.
x = \(\frac{A*t^2}{800}\)
?????????????????????
Answer: make me brainlist
Step-by-step explanation: 13 is A
the one next to it is D so it is D
Solve for s.
8 - 4s = s + 13
Answer:
s= -1
Step-by-step explanation:
what is the volume of the sphere?
Answer:
The formula for the volume of a sphere is V = 4/3 πr³.
Step-by-step explanation:
Surface area of sphere = 4πr2
Volume of a sphere = 4/3 πr3
You only need to know the radius to figure both the volume and surface area of a sphere.
Answers for surface area problems should always be in square units.
Answers for volume problems should always be in cubic units.
1.94 million is what percent of 2.16 million
89.81% of 2.16 million is 1.94 million.
What percentages are there?In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. After dividing a number by its whole, multiply it by 100 to determine its percentage. As a result, the percentage refers to a component per 100. The word "percent" denotes a percentage of 100.
To calculate a group's share of the total in terms of 100, use the percentage formula. Using this method, you may represent a number as a fraction of 100. You'll see that the approach below may be used to rapidly calculate each of the the percentages:
(Value/Total Value) x 100 = %
According to the question,
(x/100) 2.16 = 1.94
x = 1.94 (100)/ 2.16
x = 194/ 2.16
x = 89.81 %
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The steps Quentin took to evaluate the expression 3m-3: 3 when m=8 are shown below. 3m-3 = 3 when m = 8 3 x 8 = 24 24 – 3 = 21 21 : 3 = 7 What should Quentin have done differently in order to evaluate the expression? А divided (24 – 3) by (243) B divided (24 – 3) by (24 – 3) С subtracted (3:3) from 24 D subtracted 3 from (24 + 3)
3m - 3 ÷ 3
when m = 8
after substituting m = 8 into the expression
3(8) - 3 ÷ 3
which will give
24 - 3÷ 3
The step to have taken, using BODMAS is to divide 3 by 3 first which is "1"
Then subtract the 1 from 24
So the correct option is
C. subtracted (3÷3) from 24
scatter plot- construct a scatter plot.
The Constructed scatter plot matches option A
How to construct a scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data
Given: The x and y values as shown in the question
X| 0.1 | 0.1 | 0.1 | 0.2 | 0.5 | 1 |
Y| 0.86 | 0.87 | 0.88 | 0.81 | 0.56 | 0.2 |
The values of X against Y will then be plotted on a scatter plot as shown in the image attached. Note that X values will be on the horizontal while Y values will be on the vertical.
Looking at the attached scatter plot, the scatter plot in option A is the one matches it. Therefore, option A is the answer.
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how do i solve 1-(1+.04/12)^-12x10
To solve the expression 1 - (1 + 0.04/12)^(-12x10), you can follow these steps: Step 1: Simplify the exponent. In this case, -12x10 simplifies to -120.
Step 2: Evaluate the term within the parentheses first. 0.04/12 simplifies to 0.0033333 (approximately).
Step 3: Add 1 to 0.0033333 to get 1.0033333.
Step 4: Raise 1.0033333 to the power of -120.
Step 5: Calculate the value inside the parentheses using a calculator or software. The result is approximately 0.742657.
Step 6: Subtract the value obtained in Step 5 from 1.
1 - 0.742657 = 0.257343 (approximately).
Hence, the value of the expression 1 - (1 + 0.04/12)^(-12x10) is approximately 0.257343.
It's important to follow the order of operations (PEMDAS/BODMAS) when solving mathematical expressions. In this case, the exponent is evaluated first, followed by addition and subtraction. Utilizing a calculator or software that supports exponentiation and parentheses can help simplify complex expressions and obtain accurate results efficiently.
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WILL GIVE BRAINLIEST!!! If \(\frac{a}{b} =2\) what is the value of \(\frac{a}{a-b}\)?
Could the answer be D) or is it C)?
A) -2
B) 1
C) 2
D) It cannot be determined from the given information
Considering the given proportion, the value of \(\frac{a}{a - b}\) is:
C) 2
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportion between a and b is given by:
a/b = 2.
Then:
a = 2b.
The expression is:
\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)
Hence option C is correct.
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The hypotenuse of a right angle triangle Is 10 units and one of the acute angles is 40
The measurement of other two legs of the right triangle is 6.4 and 7.6.
Given is right triangle with hypotenuse equal to 10 units and an acute angle of 40°, we need to find the other two legs,
Here we will use the trigonometric ratios to find the legs,
Let 40° be the reference angle,
So,
Sin 40° = perpendicular / 10
Perpendicular = 6.4
Cos 40° = base / 10
Base = 7.6
Hence the measurement of other two legs of the right triangle is 6.4 and 7.6.
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The base of a solid is bounded by y=x,y=0, and x=1. Find the volume of the solid for each of the following cross sections (taken perpendicular to the y-axis): (a) squares, (b) semicircles, (c) equilateral triangles, and (d) semi ellipses whose heights are twice the lengths of their bases.
To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).
(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y
(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y
(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y
(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2
It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.
Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.
Answer:
Step-by-step explanation:
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
what is the exponential function property of domain?
Answer:
The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.
Un hombre posee 50 acciones con un valor de 30 cada una , la corporación declaró un dividendo del 6% pagadero en acciones ¿cuantas acciones poseía entonces?
el hombre tenía 50 acciones.
La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,
se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,
podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.
Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.
Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.
Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.
Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,
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What is the answer yes or no?
Answer:
yes.
Step-by-step explanation:
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
find the exact value of tan(165°) using a difference of two angles
Answer: \(-2+\sqrt{3}\)
=========================================================
Work Shown:
Apply the following trig identity
\(\tan(A - B) = \frac{\tan(A)-\tan(B)}{1+\tan(A)*\tan(B)}\\\\\tan(225 - 60) = \frac{\tan(225)-\tan(60)}{1+\tan(225)*\tan(60)}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+1*\sqrt{3}}\\\\\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\\)
Now let's rationalize the denominator
\(\tan(165) = \frac{1-\sqrt{3}}{1+\sqrt{3}}\\\\\tan(165) = \frac{(1-\sqrt{3})(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\\tan(165) = \frac{(1-\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{(1)^2-2*1*\sqrt{3}+(\sqrt{3})^2}{(1)^2-(\sqrt{3})^2}\\\\\tan(165) = \frac{1-2\sqrt{3}+3}{1-3}\\\\\tan(165) = \frac{4-2\sqrt{3}}{-2}\\\\\tan(165) = -2+\sqrt{3}\\\\\)
----------------------
As confirmation, you can use the idea that if x = y, then x-y = 0. We'll have x = tan(165) and y = -2+sqrt(3). When computing x-y, your calculator should get fairly close to 0, if not get 0 itself.
Or you can note how
\(\tan(165) \approx -0.267949\\\\-2+\sqrt{3} \approx -0.267949\)
which helps us see that they are the same thing.
Further confirmation comes from WolframAlpha (see attached image). They decided to write the answer as \(\sqrt{3}-2\) but it's the same as above.
Graph the inequality
x<5
Draw the graph of x-axis which is lesser than 5 .
What is Graph inequality ?
In mathematics, a relationship between two expressions or values that are not equal to each other is called inequality.In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.Graphing inequalities is the process of showing what part of the number line contains values that will "satisfy" the given inequality. A graph of this inequality will show what numbers may be used to replace x in our inequality to make a true statement.Linear inequalities can be graphed on a coordinate plane.The solutions for a linear inequality are in a region of the coordinate plane. A boundary line, which is the related linear equation, serves as the boundary for the region.Linear inequalities are different than linear equations, although you can apply what you know about equations to help you understand inequalities. Inequalities and equations are both math statements that compare two values.Equations use the symbol =; inequalities will be represented by the symbols <, ≤, >, and ≥.One way to visualize two-variable inequalities is to plot them on a coordinate plane.To learn more about Graph the inequality refer :
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question is the picture
it’s triangles congruent please help me if ur a nice person
Answer: The answer is the first choice, <L = <P
Step-by-step explanation:
There are two triangles.
Triangle LMN
and
Triangle PQR
If both of these triangles are congruent then that must mean that:
<L = <P
<M = <Q
<N - <R
Hope this helps!!
a kayak travels in a lake at an average speed of 35m/min. if the perimeter of a lake was 8400 m how many hours does it take for the kayak to travel around the whole lake
Answer:
I think Its 4hrs
Step-by-step explanation:
8400m÷ 35m = 240mins
240mins= 4hrs
If m
m
the value of x.
Answer:
i dont understand the question
Step-by-step explanation:
The mean absolute deviation is best described as:
The value obtained when averaging the distances between each data point in the data set and the mean.
The value obtained when you add all the values in the data set and divide by the number of values.
The difference between the means of two similar data sets.
An approximation of the center of a data set.
Answer: It’s the second one
Step-by-step explanation:
-√100/5 = ? Simply it please with full explanation. Thanks
Answer:
-2√5
Step-by-step explanation:
First simplify what's inside the radical: 100/5=20
Now we have -√20
The square root of 20 is 2√5 (because 5*4=20 and the square root of 4 is 2)
Because there is a negative the answer has to be -2√5