An equation that shows two ratios are equivalent is a proportion. Proportions can be applied in various fields like economics to show equivalent satisfaction based on price paid for goods, or in unit conversion to represent equivalent quantities in different units.
Explanation:An equation showing that two ratios are equivalent is a proportion. A proportion is a mathematical statement that two ratios are equal. For example, 2/4 = 1/2 is a proportion because the two ratios are equivalent. Other forms of this equation could be obtained by rearranging terms, showing the direct and indirect proportions.
In a more practical context, ratios are used to compare the relationship between different quantities. For example, we could state the ratio of the prices of two goods should be equal to the ratio of the marginal utilities. When we divide the price of good 1 by the price of good 2, this should equal the marginal utility of good 1 divided by the marginal utility of good 2. This indicates that the utility or satisfaction obtained is equivalent based on the price paid.
Also, proportions can be used as a unit conversion factor where the ratio of two equivalent quantities expressed with different measurement units can lead to a conversion factor. For example, the lengths of 2.54 cm and 1 in. are equivalent, thus providing a ratio that could be used for conversion.
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If 85% of a number is 17, then what is 60% of that number
Determine the indicated side length of the golden rectangle. round your answer to the nearest hundreth....
(Picture below)....
....a. 4.85 ... b. 4.94 ... c. 5.26 ... d. 3.09
Answer:
a. 4.85
Step-by-step explanation:
im right
? = a+b
a = 3
(3+b)/3=3/b
b= -4.85 or 1.85
it cant be negive.
so ? = 3+1.85 = 4.85
f(x)=2x*e^2x. find lim of f(x) as x--> - infinity and +infinity ...?
How is the graph of Y=√X) -5 translated from the graph of √X ?
shifted 5 units right
shifted 5 units down
shifted 5 units left
shifted 5 units up
39x10^3 in standard form
Consider the equation v + 4 + v = 8. What is the resulting equation after the first step in the solution?
a. v +4 = 8 – v
b. v +4 = 8
c. 4 + v = 8 – v
d. 2v + 4 = 8
Answer:
The resulting equation after the first step is 2v+4=8
d is the correct option
Step-by-step explanation:
We have been given the equation v + 4 + v = 8. In order to solve it for v, we'' perform the below mentioned steps.
Add the like terms in the left hand sideSubtract 4 to both sides of the equationFinally divide both sides by 2Hence, in the first step, we can group the like terms and combine. In the left hand side v and v are like terms and hence, we can add them
On adding v and v we get 2v
Thus, we have
[tex]v+v+4=8\\2v+4=8[/tex]
Thus, the resulting equation after the first step is 2v+4=8
Angle P is an acute angle.
Which could be the measure of angle P?
A.
80°
B.
100°
C.
90°
D.
180°
Answer
A
Step-by-step explanation:
Can you help me find the value of X?
Answer:
x ≈ 4.1 cm
Step-by-step explanation:
The side (z) opposite the 42° triangle can be found from the relation ...
z/(3.6 cm) = tan(42°)
z = (3.6 cm)·tan(42°) ≈ 3.2415 cm
The relationship between z and x is ...
z/x = cos(38°)
x = z/cos(38°) ≈ 4.1135 cm
x ≈ 4.1 cm
My math homwork is asking me for the word form and the expanded form for 3.4 and 2.51,and i don't understand this. we just started it today and she my teacher gave us 3 pages of the math.
sin^2(75)-cos^2(75)=?
The tax rate on Harriet walker $80,000 vacation home is 2 mills. The property is assessed at full value. How much will Harriet Walker pay in taxes this year?
Answer:
Step-by-step explanation:
1600
What is the common ratio for the geometric sequence?
54, 36, 24, 16...
Answer:
Here is the answer and proof :)
Step-by-step explanation:
how do i solve z+18=y
What unit of measurement would Guatemalans typically use to measure the weight of flour?
in the decimal number .98703, the 0 holds what place value
Answer:
it is in the 10 thousansth place.
Step-by-step explanation:
.98703
9=10nth place
8=100th place
7=thousandth place
0=ten thousandth place
3=hundred thousandth place
I hope this helps.
Bruno uses a piece of wrapping paper with dimensions 1 and 1/4 feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?
Area is determined by using the formula A=lw Area= Length x Width
A= 1 1/4 x 3 convert to an improper fraction
A= 5/4 x 3/1 multiply
A=15/4 divide
A=3 3/4 square feet
Answer: [tex]A=3\dfrac{3}{4}\ ft^2[/tex]
Step-by-step explanation:
Given: The dimensions of the wrapping paper :
[tex]1\text{ and}\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }1+\dfrac{1}{4}\text{ feet }\text{ by 3 feet}\\\\\text{i.e }\dfrac{5}{4}\text{ feet }\text{ by 3 feet}[/tex]
Now, we know that the area of a rectangle is given by :-
[tex]A=length*width[/tex]
Now, the area of the wrapping paper is given by :-
[tex]A=\dfrac{5}{4}\times3=\dfrac{15}{4}=3\dfrac{3}{4}\ ft^2[/tex]
Help please =]
Solve system of equations using any method 2x-6y=8 and 2x-6y=3
A heart beats 8 times in 3 seconds.About how many times will a cats heart beat in 2 minutes
Find the discriminant of the following equation.
4x2 + 16x + 16 = 0 ...?
Discriminant = b^2 - 4ac
a = 4
b = 16
c = 16
16^2 - 4(4 x 16)
256 - (4x64)
256 - 256 = 0
Therefore it only has one root
true or false. If f is a function, the f(s+t) = f(s)+f(t). ...?
The statement is true for linear functions, but not in general for all functions.
Explanation:The statement is true if f(x) is a linear function.
However, it is not true in general for all functions, so the statement is false.
An example of a linear function where the statement is true would be f(x) = 2x.
If we substitute s + t into the function, we get f(s + t) = 2(s + t) = 2s + 2t.
On the other hand, if we substitute f(s) + f(t) into the function, we get f(s) + f(t) = 2s + 2t.
Therefore, the equality holds and the statement is true for linear functions.
What Is The Slope Of The Line In The Graph Shown Below?
-2
-1
1
2
Rewrite 30/6 as a whole number
The fraction 30/6 can be rewritten as the whole number 5 after performing the division operation 30 ÷ 6.
Explanation:The problem asks to rewrite 30/6 as a whole number. In mathematics, this implies using the operation of division. Division is one of the four basic operations in math, along with addition, subtraction, and multiplication.
To solve this problem, you need to divide 30 by 6. Perform the division operation as follows: 30 ÷ 6. The result of this operation is 5.
Therefore, the fraction 30/6 can be rewritten as the whole number 5.
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The complement of an acute angle is always
125, 0.12, 0.1 listed to least to greatest
In the triangle below, determine the value of a.
a rectangeler field is twice as long as it is wide a golf cart travrling at 12 miles per hour takes 7.5 minutes to travel the perimeter of the field what is the length (in miles) of the field
For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.
A)
19 cubic feet of snow
B)
31 cubic feet of snow
C)
511 cubic feet of snow
D)
1022 cubic feet of snow ...?
Answer:
A
Step-by-step explanation:
Final answer:
To find the amount of snow needed to build the snowman, we need to calculate the volume of each ball and then add them together. The total volume is 18.84 cubic feet, rounded to 19 cubic feet.So,Option A.19 cubic feet of snow is correct.
Explanation:
To find how much snow is needed to build the whole snowman, we need to calculate the volume of each ball and then add them together. The volume of a sphere can be found using the formula V = (4/3) * pi * r³, where r is the radius of the sphere.
The bottom ball has a diameter of 3 feet, so the radius is 3/2 = 1.5 feet. The volume of the bottom ball is (4/3) * 3.14 * (1.5³) = 14.13 cubic feet.
The middle ball has a diameter of 2 feet, so the radius is 2/2 = 1 foot. The volume of the middle ball is (4/3) * 3.14 * (1³) = 4.19 cubic feet.
The top ball has a diameter of 1 foot, so the radius is 1/2 = 0.5 feet. The volume of the top ball is (4/3) * 3.14 * (0.5³) = 0.52 cubic feet.
The total volume of the snowman is 14.13 + 4.19 + 0.52 = 18.84 cubic feet. Therefore, the answer is 19 cubic feet of snow.
How are rigid transformations used to justify the SAS congruence theorem?
The method in which rigid transformations used to justify the SAS congruence theorem is given.
What is rigid transformation?A rigid transformation (also called an isometry) is a transformation of the plane that preserves length. In a rigid transformation the pre-image and image are congruent (have the same shape and sizes).
We are given that;
Theorem is SAS
Now,
The SAS congruence theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. To prove this theorem using rigid transformations, we can start with two distinct triangles that have a pair of corresponding congruent sides and a corresponding congruent included angle23. Then we can use a translation to move one triangle so that its congruent side matches the other triangle’s congruent side. Next, we can use a rotation to align the congruent angles of both triangles. Finally, we can use another translation to move the second congruent side of one triangle to match the second congruent side of the other triangle. By doing these rigid transformations, we have shown that one triangle can be mapped onto the other triangle exactly, which means they are congruent
Therefore, by the transformations the answer will be given above.
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A regression model in which more than one independent variable is used to predict the dependent variable is called
? a simple linear regression model
? a multiple regression model
? an independent model
? none of the above
heeeelp!
Line segments with the same length are said to be __________.