Answers
Explanation
The other graphs are linear functions but not not proportional relationships.
The general form of a proportional relationship is y = kx, where k is the proportionality constant. So, for x = 0 you will always obtain y = 0.
The general form of a linear relationshio is y = kx + b, being b the y-intercept, so if the y-intercept is not 0, it is not a proportional relationship. That is what happens with the other three graphs.
A graph that shows a proportional relationship include the following; A. graph A.
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.In conclusion, the characteristics for a graph that shows a proportional relationship include the following:
A straight line can be drawn through its points.
The straight line connecting the points passes through the origin.
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Related Questions
Suppose a bay window is a perfect semicircle with an area of 4.5 square feet. If the architect wants to use a scale of 0.5 inch = 1 ft on the floor plan, what is the radius of the bay window on the floor plan?
A) 0.85 inches
B) 1.7 inches
C) 3 inches
D) 3.4 inches
Answers
The answer is A) .85 inches
Step-by-step explanation:
A =
1 /2 πr2 4.5 = 1 2 πr2 1.6926 = r
thus, 0.50 in
1 ft = x in 1.6926 ft x = 0.8463
Final answer:
To find the radius of the bay window on the floor plan, calculate the radius of the actual bay window first, apply the scale factor, resulting in a radius of 3.4 inches that is option D is correct.
Explanation:
To find the radius of the bay window on the floor plan, you need to calculate the radius of the actual bay window first. Given the area of the bay window as 4.5 square feet in a semicircle shape, you can use the formula for the area of a semicircle, A = 1/2 * π * r².
Once you find the actual radius, you can then convert it to the scale of 0.5 inch = 1 ft to determine the radius on the floor plan. Remember, the scale factor is the ratio of a length on the drawing to the actual length it represents.
After the calculation, the radius of the bay window on the floor plan is 3.4 inches (Option D).
A Ford is traveling 20 mph slower than a Buick. The Buick is traveling at a rate of 65 mph. Let F = the the speed of the Ford. Which formula below would correctly calculate the speed of the Ford?
Answers
Since the Ford is 20 mph slower than the Buick, all you have to do is subtract 20 from the speed of the Buick. We know the speed of the Buick, it is 65.
Therefore, the speed of the Buick is 65 - 20 or 45 mph.
here is a sketch of y=x^2 + bx + c. the curve intersects the x-axis at (2,0) and point P. the y-axis at (0,14) work out the x-coordinate of the turning point of the graph
Answers
Finding the x-coordinate of the turning point of a quadratic equation requires knowledge of its coefficients. Given a function y = x^2 + bx + c, and points (2,0) and (0,14), we need further calculations or information to precisely identify b to use the vertex formula -b/2a effectively.
Explanation:To find the x-coordinate of the turning point of the graph of the quadratic equation y = x^2 + bx + c, we can use the fact that the vertex of a parabola given by the general form ax^2 + bx + c is at x = -b/2a. Since the quadratic intersects the x-axis at (2,0), we can plug x = 2 into the equation to find one relation between b and c.
Another given point is (0,14), which when plugged in gives c = 14. To find b, we need more information from the question or an understanding of quadratic functions more deeply. However, without b, we can use the vertex formula derivatively, knowing that a in our equation is 1 (since the coefficient of x^2 is 1).
We also know that for any quadratic function, the x-coordinate of the vertex (turning point) can be found using -b/2a. Without the exact value of b, we cannot find the exact x-coordinate directly from the information given.
However, the general methodology would involve using the known points to first find equation coefficients and then apply the vertex formula. This highlights the importance of understanding quadratic functions and their graphical representations, such as vertices and intercepts, to solve these types of problems efficiently.
The x-coordinate of the turning point of the graph is 4.5
How to determine the x-coordinate of the turning point of the graph
From the question, we have the following parameters that can be used in our computation:
[tex]y = x^2 + bx + c[/tex]
It intersects the y-axis at (0, 14)
This means that
[tex]0^2 + b(0) + c = 14[/tex]
c = 14
So, we have
[tex]y = x^2 + bx + 14[/tex]
It intersects the x-axis at (2, 0)
So, we have
[tex]2^2 + 2b + 14 = 0[/tex]
4 + 2b + 14 = 0
2b = -18
b = -9
So, we have
[tex]y = x^2 - 9x + 14[/tex]
The x-coordinate of the turning point of the graph is then calculated as
x = -b/2a
So, we have
x = 9/2
x = 4.5
Hence, the x-coordinate of the turning point of the graph is 4.5
Can someone help me with this question me and my friends are fighting over it?
13.The letters R, W, A, and E are arranged in a random order. What is the probability that the arrangement forms the
words WEAR or WARE?
A. 1/2
B. 1/6
C.1/12
d.1/24
Answers
Because if you rearrange all the letters so that W is is the beginning you get 6 different combinations.
Then I multiplied those 6 combinations by 4 because there are 4 letters.
Once I multiplied I got 2/24 because there are 24 possibilities in total, and we are looking for the probability of getting those 2 combinations.
I simplified 2/24 to its lowest form and I got 2/24 = 1/12.
So the correct answer is C.1/12, hope this helps!
- Alyssa T.
10y-12=4
Help??? Confused??? Trying to make this twenty letters long lol
Answers
10y-12=4
10y=12+4
10y=16
y=16/10=8/5=1 3/5 or 1.6
Approximate the value of 5 pie
Answers
We can see that pi is a little bit more than 3. Multiplying this times 5 gives a lil bit more than 15.
D
Douglas is placing strings of lights around the edge of a circular patio with a diameter of 7.5 meters. The lights are in lengths of 1.45 meters.
What is the best approximation for how many strings of lights Douglas needs?
Use 3.14 to approximate for π .
A. 5
B.11
C.17
D.122
Answers
Answer: C: 17
Step-by-step explanation:
Which of the following Has a value of 8(4)
A) 4,096
B)32
C)83
D)512
Answers
8(4) means to multiply 8 and 4. 8 x 4 = 32
8(4) = 8 x 4
8 x 4 = 32
Sergei says that 10% of a number will always be less than 20% of any other number.
Answers
This isn't true, because if you were to take 10% of, let's say, 100 (which is 10), and if you were to take 20% of 20 (which is 5), 5 is still smaller than 10.
Hope this helps!
Consider U = {x|x is a positive integer greater than 1}.
Which is an empty set?
{x|x ∈ U and 1/2 x is prime}
{x|x ∈ U and 2x is prime}
{x|x ∈ U and 1/2 can be written as a fraction}
{x|x ∈ U and 2x can be written as a fraction}
Answers
Justification:
U = {x|x is a positive integer greater than 1} = {2, 3, 4, 5, 6, ...}
1) {x|x ∈ U and (1/2) x is prime}
Take x = 4 => (1/2) 4 = 4 / 2 = 2 = prime, so this is not empty.
{x|x ∈ U and 2x is prime}
2) 2x = {4, 6, 8, 10, 12, } so none of them is prime, hence this is an empty set.
3) {x|x ∈ U and (1/2) x can be written as a fraction}
Take any x that is odd. For example x = 3
=> (1/2)x = (1/2)3 = 3/2 which is a fraction, so this is not an empty set.
2) {x|x ∈ U and 2x can be written as a fraction}
Take any value of x, for example x = 7 => 2 = 14, and 14 = 28 / 2 so this is not an empty set.
Answer:
{x|x ∈ U and 2x is prime}
Step-by-step explanation:
got 100%
A right triangle had one leg of length 84 units. The hypotenuse is 91 units long. What is the length of the other leg?
HELP ASAP FOR BRAINLIEST (:
A. 49 Units
B. ^(178 units
C. 7 Units
D. 35 Units
Answers
Jane is thinking of a number between -10 and 10. if you multiply Jane's number by -2, then subtract 2, the result is greater than 6. What is Jane's number
Answers
A figure has a vertex at the point (-4, -6) the figure is dilated with the center at the Irgun with a scale factor of 5
Answers
The formula for electrical power is p=iv Which is the equivalent equation solved for i?
Answers
we are given
[tex] p=v*i [/tex]
Since, we have to solve for i
so, we will isolate i on anyone side
we can divide both sides by v
[tex] \frac{p}{v}= \frac{vi}{v} [/tex]
[tex] \frac{p}{v}= i [/tex]
[tex] i=\frac{p}{v} [/tex]..............Answer
Answer:
p/v=I
Step-by-step explanation:
hope i helped. :} its also on edge
Julie works for 48 hours per week for 12 weeks during the summer, making $5000. If she works for 48 weeks during the school year at the same rate of pay and needs to make another $5000, how many hours per week must she work?
Answers
Since she only needs to make the same amount of money, if she works for 4 times as many weeks, she can work 4 times fewer hours per week, meaning she can work 1/4*48= 12 hours per week.
During the academic year, Julie needs to put in about 12 hours per week of work to earn an additional $5,000 at the same rate of compensation.
To find out how many hours per week Julie must work during the school year to make another $5000,
set up a proportion using the information we already have.
Let's use the ratio of her earnings to the number of hours worked to create the proportion.
During the summer:
Earnings = $5000
Hours worked = 48 hours/week
Weeks worked = 12 weeks
Summer rate of pay = Earnings / (Hours worked × Weeks worked)
Summer rate of pay = $5000 / (48 hours/week × 12 weeks)
Summer rate of pay = $5000 / 576 hours
Summer rate of pay ≈ $8.68 per hour (rounded to two decimal places)
Now, during the school year, she needs to make another $5000.
So, set up the proportion:
School year earnings = $5000
School year rate of pay = $8.68 per hour (same as the summer rate)
School year rate of pay = School year earnings / (Hours worked × Weeks worked)
$8.68 per hour = $5000 / (Hours worked × 48 weeks)
Now, solve for the number of hours worked per week during the school year:
Hours worked × 48 weeks = $5000 / $8.68 per hour
Hours worked × 48 weeks = 576.036
Hours worked ≈ 12 hours per week (rounded to the nearest whole number)
Therefore, Julie must work approximately 12 hours per week during the school year to make another $5000 at the same rate of pay.
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A fair charged $2.50 admission for adults and a dollar for children. The receipts for 1 day were $1951 on 1300 paid admissions. How many adults attended the fair that day?
Answers
y = children
x + y = 1300
2.5x + y = 1951 Subtract these two equations.
-1.5x = - 651
x = -651/-1.5
x = 434 Adults
y = 1300 - x
y = 1300 - 434
y = 866 children
1300 x 1 = $1300
Extra collection:
1951 - 1300 = $651
Difference in price = $2.50 - $1.00 = $1.50
$651 ÷ 1.5 = 434 adults
1300 - 434 = 866 children
Ans: 434 adults and 866 children
If your starting salary is $50,000 and you receive a 4% increase at the end of every year, what is the total amount, in dollars, you will earn over the first 16 years that you work?
Answers
50000(1 + 1.04 + 1.04^2 + 1.04^3 + .... + 1.04^15) = 50000 * (1.04^16 - 1) / (1.04 - 1) = 1,091,226.56
Final year's salary = 90047.17
86,583.82 * 1.04 = 90047.17
There are only 15 table when there should be 16.
a_N = 50000(1.04)^15 = 90047.17
And if we add 90047.17 to the previous total of 1001179.38 we get
$1,091,226.55
Answer:
The correct answer is $1091227
a line has a y-intercept of -5 and a slope of 10. what is its equation in slope-form?
Write your answer using integers, proper fractions, and improper fractions in simplest form
y = x −
Answers
y = 10x - 5
Explanation:
The equation of the line has the general formula:
y = mx + c
where:
m is the slope = 10
c is the y-intercept = -5
Substitute with the givens in the above formula to get the equation as follows:
y = mx + c
y = 10x + (-5)
y = 10x - 5
Hope this helps :)
Can anyone please help me....?
Answers
(2 1/2)/(5/8)
Now, if you remember, when dividing with fractions, you may multiply with the reciprocal of the fraction that’s dividing. What that means is, if you flip the bottom fraction from (5/8) to (8/5), you make your life easier by multiplying.
(2 1/2) • (8/5)
To make things even easier, let’s turn 2 1/2 into an improper fraction. This turns it into (5/2). So...
(5/2) • (8/5)
If you remember, to multiply fractions, you multiply both numerators, then both denominators.
(5 • 8)/(2 •5)
40/10
Simplify
4
A Gardener has 560 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a river so it does not need any fencing. What dimensions would guarantee that The Gardener has the greatest possible area
Answers
To maximize area and minimize perimeter, you make the figure as close to equilateral as possible. 560/3 = 186 2/3. We would rather use whole number dimensions, so we would have 186 for one side. 560-186 = 374. 374/2 = 187 for the other dimension.
Answer:
Each side of the garden should be 186.67 feet
Step-by-step explanation:
We know that the biggest area of a rectangular prism is when it closer to a square, and we know that a square is a special kind of rectangle with all equal sides, so we want all the sides to be equal.
To do this we know that the Gardener has 560 feet of fencing and he is only going to fence 3 sides because the other side is bordered by a river.
So we have to divide the fencing by the sides to have equal sides:
560 feet / 3 sides = 186.67 feet per side.
So the garden will be a square with each side of 186.67 feet, and the area will be:
186.67 * 186.67 = 34,845.70 square feet.
Please help quick if you know the answer
Answers
C. 8,240,000
Brainliest pts
A. How many phone plans have national long distance B. How many customized phone plans include 100 minutes per month talking time and paging capabilities?
Answers
John works at a car dealership that sells domestic and foreign cars. John makes 6% commission on domestic cars and 4% on foreign cars he sells. If John sold 4 domestic cars for $24,000 each, 2 domestic cars for $9,000 each, and 2 foreign cars for $13,500 each, what is his commission for the month?
Answers
(4 domestic cars x $24000 + 2 domestic cars x $9000) x 0.06 + (2 foreign cars x $13500) x 0.04 = $7920
He earned $7920 in commission.
Please find x: 3x − 1 = 2x − 1
Answers
3x - 1 = 2x - 1
Start by subtracting 2x on both sides
3x - 1 - 2x = 2x - 1 - 2x
x - 1 = - 1
Then add 1 on both sides
x - 1 + 1 = -1 + 1
x = 0
I hope this helps!
As always, it is my pleasure to help students like you.
======================================================================
SOLVING.....
3x − 1 = 2x − 1
Subtract 2x from each side
3x − 1 − 2x = 2x − 1 − 2x
x − 1 = −1
Add 1 to each side
x − 1 + 1 = −1 + 1
x = 0
====================================================================
CHECKING.....
Substitute 0 for x in 3x − 1 = 2x − 1
3(0) − 1 = 2(0) − 1
0 - 1 = 0 - 1
-1 = -1
This is true so x does equal 0
De una botella de 4 L se utilizaron 2 4/5. ¿Cuánto aceite queda?
Answers
what is the area of square HIJK
Answers
hope this helps:)
Use benchmarks to choose the customary unit you would use to measure each height of a computer with a fit length of a semi truck the amount of liquid a bathtub holds.
Answers
For the height of a computer, it would be best to use inches. Most screens would be about 10 -15 inches.
For the length of a semi-truck, we could use feet or yards. Inches would be too small and miles would be way too long.
For the amount of liquid in a bathtub, we should use gallons.
Final answer:
Choose the best units of measurement for a variety of items based on benchmarks and size considerations.
Explanation:
When considering the size of a bathtub, the best unit for measuring capacity would be liters.
To choose the best unit of measurement for each item:
The volume of a water balloon: Milliliters
The length of a basketball court: Yards
The weight of an apple: Ounces or grams
The volume of a milk carton: Cubic centimeters
For the height of a light switch, the appropriate unit would be inches.
For the width of a refrigerator, the appropriate unit would be feet.
A painting crew reported that a job is 3/5 completed. what fraction of the job remains to be done.
Answers
The required fraction of the job that remains to be done is 2x / 5.
Given that,
A painting crew reported that a job is 3/5 completed. what fraction of the job remains to be done is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Let the whole fraction of the job be x.
A painting crew reported that a job is 3/5 completed = 3/5x
The job remains to be done = x - 3/5x
= 2x / 5
Thus, the required fraction of the job that remains to be done is 2x / 5.
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HELP!!! SIN/COS
What is the value of x?
sin49 degrees = cos x
Answers
[tex] \sin(45 \: degrees) = \: \cos(x) [/tex]
[tex] \frac{ \sin(45 \: degrees) }{cos} = \: x[/tex]
[tex] \frac{ sin}{cos } = tan[/tex]
[tex]therefore \: \: \: \tan(45 \: degrees) = x[/tex]
[tex]but \: \: \: \tan(45 \: degrees) = 1 [/tex]
[tex]therefore \: \: \: x = 1[/tex]
[tex]hope \: this \: helps[/tex]
Answer:
cos 41°
Step-by-step explanation:
this is the correct answer, not the one above.
if entered on the calculator (texas instruments TI-30X2S)
sin (49)= 0.75470958
2nd → cos → 2nd → (-)
which would look like this→ cos-1(0.75470958)
answer= cos 41
I’m not sure what Atrap and all that stuff means...sorryyy to answered my last question
Answers
The top and bottom areas of the base cuboid are (10 in)*(10 in) = 100 in^2, for a total of 2*100 in^2 = 200 in^2.
The lateral area of the base cuboid is its perimeter (4*10 in = 40 in) multiplied by its height (2 in), so is 80 in^2.
Likewise, the lateral area of the "tower" is the product of its perimeter (4*5 in = 20 in) and its height (8 in), so is 160 in^2.
The sum of all these is 200 in^2 +80 in^2 +160 in^2 = 440 in^2.
The 3rd selection is appropriate.
then 10x10=100x2=200. Finely 200+200=400 in2