Answer:
= y/2
Step-by-step explanation:
(x+3)/3 = (y+2)/2
x/3 + 1 = (y+2)/2
x/3 = (y+2)/2 - 1
= (y+2-2)/2
= y/2
hope this helped(:
Tier: Homework 1
Solve 2(4y - 5) = 14 983
Answer:
y = 1874.25
Step-by-step explanation:
2(4y - 5) = 14 983
2*4y + 2*-5 = 14983
8y - 10 = 14983
8y = 14983 + 10
8y = 14993
y = 14993/8
y = 1874.25
Answer:
Step-by-step explanation:
2(4y - 5) = 14
8y - 10 = 14
8y = 24
y = 3
what is the proportional relationship between x 2 6 8 10 and y 6 18 24 30
The proportional relationship is y = 3x.
What is the proportional relationship?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Here, we have
Given:
x: 2, 6, 8, 10
y: 6, 18, 24, 30
We have to find the proportional relationship between x and y.
So, we can see from inspection and visual observation that there is a proportional relationship between x and y.
6 = 3 2, 18 = 3 6, 24 = 3 8, 30 = 3 10.
Hence, The proportional relationship is y = 3x.
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Greg has the following utility function: u = x038x962. He has an income of $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). Suppose that the price of x increases by $1.00. Calculate the compensating variation for this price change. Give your answer to two decimals.
The compensating variation is $13.52.
The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x<sup>0.38</sup>x<sup>0.962</sup>. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).
To calculate the compensating variation, we can use the following formula:
CV = u(x1, x2) - u(x1', x2')
where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.
We can find u(x1, x2) using the following steps:
Set x1 = 83 / 4 = 20.75.
Set x2 = 83 - 20.75 = 62.25.
Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.
We can find u(x1', x2') using the following steps:
Set x1' = 83 / 5 = 16.60.
Set x2' = 83 - 16.60 = 66.40.
Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.
Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.
To two decimal places, the compensating variation is $13.52.
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Diego is 165 cm tall. Andre is 1.7 m tall.
1. Who is taller, Diego or Andre?
2. Explain your reasoning.
Answer:
Andre
Step-by-step explanation:
If a meter is made up of 100 cm then divide 165 by 100. Compare 1.65 meters to 1.7 meters. 1.65 m < 1.7 m
When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?
Answer:
3.18%
2 between 89 91
Step-by-step explanation:
*Probability-Between 3.18%
Z1=0.04 Z2=0.12
x-1 89
x-2 (not required) 91
µ 88
σ 25
1/5 divided by -1/14?
Answer:
-2.8 or -14/5
Step-by-step explanation:
To divide one fraction by another, there is a really cool method called Keep Change Flip
Keep the first fraction
Change the division sign to multiplication
Flip the numbers on the last fraction
Let's try it out.
Keep the 1/5
Change the ÷ to a ×
Flip the -1/14 to a -14/1
1/5 × -14/1
Multiply the top numbers by each other first
1 × -14 = -14
Now the bottom numbers
5 × -1 = -5
The fraction we have now is -14/5
It can also be written as -2.8
5x 3 5, x, cubed for � = 2 x=2x, equals, 2.
The required simplified value of the x, of the given expression 5x³ = 2x is x = ±√2/5.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
As mentioned in the question, 5x³ = 2x, we have to simplify the equation,
So,
5x³ = 2x
x² =2/5
x = ±√2/5
Thus, the required simplified value of the x, of the given expression 5x³ = 2x is x = ±√2/5.
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1. Which of the following is the slope-intercept form of 6x + 2y = 28?
y=-3:2 – 14
y=-3x + 14
y= 3.c + 14
y= 3x - 14
Answer:
2nd option
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
6x + 2y = 28 ( subtract 6x from both sides )
2y = - 6x + 28 ( divide the terms by 2 )
y = - 3x + 14 ← in slope- intercept form
Answer:
y= -3x + 14
Explanation:
6x + 2y=28
2y= -6x +28
Therefore, y= -3x +14
what is the equivalent ratio for the given ratio 10/18
Answer:
5/9
Step-by-step explanation:
All you have to do is simplify the ratio or multiply it by something.
Hope this helps!
Help me I HATE MATH!!!
Answer:
2, 3, ,6 ,9. (YOUR ANSWER)
All numbers listed below!
15282 ÷ 1 = 15282
15282 ÷ 2 = 7641
15282 ÷ 3 = 5094
15282 ÷ 6 = 2547
15282 ÷ 9 = 1698
15282 ÷ 18 = 849
15282 ÷ 27 = 566
15282 ÷ 54 = 283
15282 ÷ 283 = 54
15282 ÷ 566 = 27
15282 ÷ 849 = 18
15282 ÷ 1698 = 9
15282 ÷ 2547 = 6
15282 ÷ 5094 = 3
15282 ÷ 7641 = 2
15282 ÷ 15282 = 1
1, 2 , 3, 6, 9, those are the factors there is more but for the question above
For this graph, mark the statements that are true.
A. The range is the set of all real numbers greater than or equal to zero.
B. The domain is the set of all real numbers greater than or equal to zero.
c. The domain is the set of all real numbers.
D. The range is the set of all real numbers.
solve for x in [0, π]: 2 cos(x) > sec(x)
The value for x is 7π/6 and 11π/6.
sin2xsecx+2cosx=0
(2sinxcosx)(1/cosx)+2cosx=0
sinxcosx/cosx+2cosx=0
So,
2sinx+2cosx=0
2(sinx+cosx)=0
(2(sinx+cosx))²=0
4(sin²x+cos²x+2sinxcosx)=0
hence,
(sin²x+cos²x+2sinxcosx)/4=0/4
sin2x+cos2x+2sinxcosx=0
1+sin2x=0
sinx=−1/2
=7π/6 and 11π/6
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A box of cereal states that there are 90 calories in 3/4 cup serving. How many calories are there in 4 cups of the cereal
Answer:
480
Step-by-step explanation:
Let x be the calories in 4 cups
Set it up
\(\frac{90}{\frac{3}{4}}=\frac{x}{4}\)
Step 1: Switch sides
\(\frac{x}{4}=\frac{90}{\frac{3}{4}}\)
Step 2: Apply fraction rule
\(\frac{x}{4}=\frac{90\cdot \:4}{3}\)
Multiply
\(\frac{x}{4}=\frac{360}{3}\)
Divide
\(\frac{x}{4}=120\)
Step 3: Multiply both sides by 4
\(\frac{4x}{4}=120\cdot \:4\\\\=480\)
There are 480 calories in 4 cups of the cereal.
10 cm
10 cm
8 cm
34 cm
12 cm
What is the volume of the triangular prism in cubic centimeters
Answer:
C, 1632 cm3
Step-by-step explanation:
Since it's a half of a 12*8*34cm brick, it can be calculated by dividing the brick's volume by 2.
12*8*34 = 3264
3264/2 = 1632
i really need the answer for this and how you got it please!
Step-by-step explanation:
PRIMERO ENCUENTRAS EL RADIO
r = 14.13 in/2(3.14) = 2.25 in
LUEGO EL ÁREA
A = 3.14\((2.25 in)^{2}\) = \(15.90 in^{2}\)
Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answer:
Given triangles are similar
Step-by-step explanation:
We can tell that given triangles are similar by comparing their side lengths.
HG is proportional to KJ
GI is proportional to JL
IH is proportional to LK
we can see the proportion better if we write it like this:
25/75 = 1/3
30/90 = 1/3
19/57 = 1/3
What is the value of -2[3-11] divided by 3
Please help I’ll give you
Brainless
Answer:
14/26
Step-by-step explanation:
Mark me Brainliest.
Answer:
\(\frac{14}{26}\)
Step-by-step explanation:
Probability is calculated as
\(\frac{outcome wanted}{total outcomes}\)
total outcomes = 14 + 12 = 26
outcome wanted is girl's name of which there are 14
P(girl's name ) = \(\frac{14}{26}\)
solve the following system. 4x 2 9y 2 =72 x 2 - y 2 = 5 list your answers with the smallest x-values and then smallest y-value first.
To solve the system of equations:
4x^2 + 9y^2 = 72
x^2 - y^2 = 5
We can use the method of substitution. Let's solve the second equation for x^2:
x^2 = y^2 + 5
Now substitute x^2 in the first equation:
4(y^2 + 5) + 9y^2 = 72
4y^2 + 20 + 9y^2 = 72
13y^2 + 20 = 72
13y^2 = 52
y^2 = 4
y = ±2
Substituting y = 2 into x^2 = y^2 + 5, we get:
x^2 = 2^2 + 5
x^2 = 9
x = ±3
Therefore, the solutions to the system of equations are:
(x, y) = (-3, 2), (-3, -2), (3, 2), (3, -2)
Listing the solutions with the smallest x-values and then the smallest y-value first, we have:
(-3, -2), (-3, 2), (3, -2), (3, 2)
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Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
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Put the following fractions in order from least to greatest, 1/5 2/5, 4/5
The order of the given fractions after arranging from least to greatest is 1/5, 2/5, 4/5.
To put the fractions 1/5, 2/5, and 4/5 in order from least to greatest, we can either convert them to decimals or find a common denominator and compare the numerators. Here, we will use the latter method.
First, we need to find a common denominator. The smallest denominator that all three fractions share is 5. So, we can rewrite the fractions as follows:
1/5 = 1/5
2/5 = 2/5
4/5 = 4/5
Now, we can compare the numerators since the denominators are the same. Clearly, 1/5 is the smallest, followed by 2/5, and then 4/5 is the largest.
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Impacto de la pandemia en la economia familiar honduras
The pandemic has had a significant impact on the family economy in Honduras, as it has created a series of economic challenges for many families.
Below are some of the more common impacts of the pandemic on the Honduran household economy:
Unemployment: Many businesses have closed due to the pandemic, causing an increase in unemployment in Honduras. This means that many families have lost their source of income and have struggled to make ends meet. Reduced Income: For those who still have jobs, the pandemic has meant a significant reduction in income. Many companies have reduced work hours and wages to reduce costs, affecting families already struggling to make ends meet. Rising prices: As a result of the pandemic, the prices of many goods and services have increased. This means that families have to spend more money to buy the same things that they used to buy before the pandemic. Difficulties in accessing credit: The pandemic has made many financial institutions more cautious when granting credit, which has affected families who need a loan to cover their expenses.Learn more about pandemic at:
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Prove triangle ACE is an isosceles triangle (pls do a two column proof)
The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly
Define isosceles triangle.Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles.
Given,
To prove = ACE is an isosceles triangle
AC = EC (given)
∠A = ∠C
The characteristics of an isosceles triangle are as follows:
There is agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.
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Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the point(0,6)and has a slope of7. What is the equation of the line?
A.y=7x+6
B.y=7x−6
C.y=6x+7
D.y=−6x+7
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:c
Step-by-step explanation:
9/11 - 1/2 in it's simplest form
Answer:
7/22
Step-by-step explanation:
Step 1: Define/explain.
To subtract fractions with different denominators, you must first find the least common denominator (LCM).
You can do this by listing the multiples of each denominator.
Step 2: Solve.
11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22
22 is the LCM.
Now, we change the fractions to where they both have denominators of 22.
**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**
\(9/11*2/2=18/22\)
\(1/2*11/11=11/22\)
Now, subtract as normal.
\(18/22-11/22=7/22\)
\(7/22 (simplified).\)
Step 3: Conclude.
Therefore, 9/11 - 1/2 = 7/22.
what is z and x ??
please help me out will mark you brainliest
Answer:
you can name the angles too
Step-by-step explanation:
first 75 is in corresponding angle at opposite angle of z. Now,
z+ 75=180 (straight angle)
z=105
5x -105=75 (vertically opposite angle)
5x=180
X=36
Three highways connect the centers of three towns and form a triangle. A cell phone company wants to place a new cell tower so that it is the same distance from the centers of the three towns. How can the company find where to place the tower? Explain.
The place where the company should place the tower should be the circumcenter of the area.
How to find the point to place the tower ?The circumcenter denotes the precise point where the perpendicular bisectors of each triangle's sides intersect.
To ascertain the circumcenter, a systematic procedure is followed. First, the company must draw straight lines connecting the respective centers of the towns, effectively forming the triangular shape. Subsequently, the midpoints of each triangle's sides are determined by measuring and dividing the length of each line segment by two.
These midpoints serve as vital reference points in the subsequent steps. By extending lines perpendicular to the sides at their respective midpoints, the perpendicular bisectors are established. These bisectors intersect at a singular point, which signifies the circumcenter and serves as the optimal placement for the cell tower.
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what is the slope intercept form? pls
Answer:
y = -x - 4
Step-by-step explanation:
y = mx + b
Slope (m) = -1 (left 1, up 1)
Y-intercept (b) = -4
What is this expression in simplified form?
4
14
−
11
14
A.
−
7
14
B.
7
14
C.
−
7
D. -49
The simplified form of the expression is -7/14, which is option C.
What is the fraction?A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).
The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:
4/14 - 11/14 = (4 - 11)/14 = -7/14
Hence, the simplified form of the expression is -7/14, which is option C.
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