this graph shows a proportional relationship containing the point (3,6) and (4,8)
What is the constant of proportionality ?
Answers
The constant of proportionality is 2.
What are direct and indirect variations ?
One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.
When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.
A proportional relationship is described by ...
y = kx
The value of k can be found by dividing by x:
k = y/x
For the given non-zero point (3,6), the value of k is found to be ...
k = 6/3 = 2
k = 2
The constant of proportionality is 2.
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Related Questions
Graph the solution to this inequality on the number line. −1/2x+3/4>−2/3
Answers
Answer:
Step-by-step explanation:
Answer:
To graph the solution to the inequality -1/2x+3/4>-2/3 on the number line, we need to solve for x first.
-1/2x+3/4>-2/3
-1/2x>-2/3-3/4
-1/2x>-17/12
x<17/12*2
x<17/6
The solution is x<17/6. To graph this on the number line, we draw an open circle at 17/6 and shade everything to the left of it since x is less than 17/6.
Solve the equation
3/2 - 6x) + 1 = 3 – 5x.
Answers
Answer:
x = - 1/2
Step-by-step explanation:
(3/2 - 6x) + 1 = 3 - 5x
-6x + 5/2 = 3 - 5x
5/2 = 3 - 5x + 6x
5/2 = 3 + x
5/2 - 3 = x
-1/2 = x
x = -1/2
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\( \frac{3}{2} - 6x +1 = 3 - 5x \\ \)
Plus sides 6x
\( \frac{3}{2} - 6x + 6x + 1 = 3 - 5x + 6x \\ \)
\( \frac{3}{2} + 1 = 3 + x \\ \)
Subtract sides -3
\( \frac{3}{2} + 1 - 3 = 3 - 3 + x \\ \)
\( \frac{3}{2} - 2 = x \\ \)
\( \frac{3}{2} - \frac{4}{2} = x \\ \)
\(x = - \frac{1}{2} \\ \)
Done.....♥️♥️♥️♥️♥️
the graph of f(x) = x3 -6x2 + 4x +1 hits the x-axis how many times?
Answers
Roots of the equation are: 1, 1, and 2 so the equation hits x-axis 3 times.
The graph of a polynomial function f(x) hits the x-axis (crosses the x-axis) at points where the y-value is zero. Therefore, to find the number of times that the graph of f(x) = x^3 -6x^2 + 4x +1 hits the x-axis, you can find the values of x that make f(x) equal to zero.
To do this, you can set f(x) equal to zero and solve for x:
0 = x^3 -6x^2 + 4x +1
This equation can be factored as:
0 = (x - 1)(x - 1)(x - 2)
Thus, This equation has three roots: 1, 1, and 2. Therefore, the graph of f(x) hits the x-axis three times.
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Simplify -7 + 7 -19 A.12 B.-19 C. 0 D.19 PlZZzz Help me
Answers
Answer:
8^2+20-30x
Step-by-step explanation:
Answer:
Hello
B. -19
Step-by-step explanation:
= (-7)+7-(19)
= (-7+7)-19
= 0-19
= -19
Evaluate the expression xyz + 7, if x = -3, y = 4, z = 7
Answers
Answer:
-77
Step-by-step explanation:
-3 x 4 x 7 = -84
-84 + 7 = -77
Answer:
57
Step-by-step explanation:
edg 2021
Solve for x: x - 24 = 25 *
Answers
Answer:
x=49
Step-by-step explanation:
x - 24 = 25
If you add 24+25=49
You can check by subtracting 49-24=??
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If 3 lbs of fertilizer will cover 408 square feet of lawn, how many pounds would be needed to cover 1088
square feet?
Answers
One pound of nitrogen or mixed fertilizer is recommended per 1,000 square feet of lawn and your particular fertilizer contains 20% nitrogen.
How many pounds would be needed to cover 1088 square feet?
In order to calculate pounds per square foot you just need to do some simple math. Simply take the area (in square feet) you want to use as a measurement and divide the number of pounds you want to place on the area by that number.Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room. This is the most common amount needed, especially when considering second coat coverage. Three gallon cans of paint cover up to 1200 square feet.Pounds or Pounds Force per Square Foot is a British (Imperial) and American pressure unit which is directly related to the psi pressure unit by a factor of 144 (1 sq ft = 12 in x 12 in = 144 sq in). 1 pound per square foot equals 47.8803 pascals.To learn more about pounds refers to:
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Three side lenghts of 5.2,6.3, and 10.5 units will form exactly one unique triangle
Answers
True, the three sides will form exactly one unique triangle.
What is a triangle?A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.
let the first length = alet the second length = blet the third length = k(b - a) < k < (b + a)
(6.3 - 5.2 ) < k (6.3 + 5.2 )
1.1 units < k < 11.5 units
The third length = 10.5 units which is greater than 1.1 units and less than 11.5 units.
Thus, the three sides will form exactly one unique triangle.
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I'll mark u brainiest if you answer it.
Answers
Answer:
Step-by-step explanation:
3
6 times 72 divided by 32
Answers
Answer:
13.5
Step-by-step explanation:
Please help!!! I’m really confused and need help
Answers
The slope of the linear equation is -5/2, thus, the correct option is B.
What is the slope of the line?A general line can be written in the slope-intercept form as:
y = a*x + b
Where a is the slope.
Here we have the linear equation:
5x + 2y = 9
If we isolate y we will get:
2y = 9 - 5x
y = 9/2 - (5/2)*x
y = (-5/2)x + 9/2
then we can see that the slope is -5/2, so the correct option is B.
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There are two different paths Kate can take to school. One path is to kilometer
long. The other path is kilometer long.
100
Compare the lengths of the paths using <, =, or >
80
Answers
Answer:
The answer is 80/100 i think
Step-by-step explanation:
Because i was taught to always go with the greater number. Hope you don't get confused and good luck!!!
how to multiple 90km/h x 1h 30min
Answers
20. In a school of 300 students, only 225 cleared an exam. If a sample of 10 of these students is taken, then the standard deviation of the sample proportion will be A) 0.03 B) 0.08 C) 0.24 D) 0.14 E) 0.02
Answers
The standard deviation of the sample proportion will be 0.14. So, the correct option is option D) 0.14.
The formula for the standard deviation of a sample proportion is given by:
standard deviation = √[p(1-p)/n]
where p is the proportion of successes in the population (i.e. the proportion of students who cleared the exam), and n is the sample size.
In this case, p = 225/300 = 0.75, since in the school of 300 students 225 students cleared the exam. The sample size is n = 10, as sample of 10 of these students is taken.
Plugging these values into the formula, we get:
standard deviation = √[0.75(1-0.75)/10] = √[0.01875] = 0.1366
Rounding to two decimal places, the answer 0.14.
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a right triangle with legs of 60 feet, 120 feet, and approximately 103.92 feet. The vertices of the triangle are points on the circle. The hypotenuse of the triangle is the diameter of the circle. The center of the circle is a point on the hypotenuse (longest side) of the
Answers
The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.
The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.
Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.
To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.
In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
Answers
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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8
.
y = 3x - 2
m=
b=
Answers
Answer:
m is 3 since it's the slope and b is -2 since its the y-intercept
Step-by-step explanation:
the formula is y=mx+b so 3 is in the m spot and -2 is in the b spot.
Answer: m = 3 , b = -2
Step-by-step explanation:
y = 3x - 2, we found out m and b by using the form y = mx + b, where m is the number in front of x.
Therefore we found out that m is 3, b is -2.
Write 100 minutes in hours and minutes.
Answers
Answer:
1 hour and 40 minutes
Step-by-step explanation:
60 minutes in an hour
we have 100 minutes
100 - 60 = 40
in 100 minutes we already have 1 hour
now we have 40 minutes left
can 40 minutes make another 60?
No.
so 100 minutes make
1 hour and 40 minutesThe error of rejecting a true null hypothesis is always negligible in hypothesis testing. a Type I error. a Type II error. never committed in hypothesis testing.
Answers
The correct option is A, The error of rejecting a true null hypothesis is known as a Type I error in hypothesis testing.
A hypothesis is an educated guess or a tentative explanation for a phenomenon that can be tested through empirical research. It is a statement that provides a proposed explanation for a phenomenon based on limited evidence or observations. The goal of a hypothesis is to provide a framework for empirical testing, and to determine whether the data collected supports or disproves the hypothesis.
In science, a hypothesis is a crucial part of the scientific method. It helps scientists to define and clarify their research questions, to design experiments or studies, and to make predictions about the outcomes. A hypothesis should be testable, falsifiable, and based on previous research or observations.
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Clytie looked at her social studies test. She received a grade of 85%. If there were 33 questions on the test, how many did Clytie get right?
Answers
There were 33 questions on Clytie's test and she got a grade of 85%.
The number of right answers was:
\(\frac{85}{100}\cdot33\)The result is approximately 28, thus:
Clytie got 28 answers right
X
-4
O
3
START HERE
10
Y=8X-5
Y=-2X-1
Y-3X+2
Y=X-7
Y
-35
5 Y=2X+5
35
105
Y=10X+5
Y=-2X-1
X
-5
2.5
0
2.5
Equations of Lines Maze
Y
S
1 Y=-4X-5
-7
-0
X
2
1
0
I
h+X=A
h-X=A
Y
20
10
0
-10
Y=-6X-7
Y=4X+2
Y=6X+10
Y=-4X
X
2
5
7
10
Y=5X-5
Y=2X+1
Y
10
22
30
42
Y-X
Y=2X+7
Y=-X+4
Y=5X
Y=-2X+1
X
1
2
3
4
Y
9
.
Xb=A
0
15
Xh-=A
Finish
Answers
Answer:
Step-by-step explanation:
HELP - In baseball's home run hall of fame, Hang Aaron has 181 fewer than twice the number of home runs than that of Chipper Jones. Hank Aaron hit 755 home runs. How many home runs did Chipper Jones hit?
Answers
Answer:
Wait is this melody Montejano from tustin high ?
NEED HELP FAST
question is in the picture attached
Answers
Answer:
x=12.99
h=7.5
Step-by-step explanation:
we us cosine rule first to look for OBthe triangle OCB is an isosceles triangle whereby angleOCB=120,angleCOB=angleCBO=30
thus length of BC is 15
\(cosine \: rule \\ a {}^{2} = b {}^{2} + c {}^{2} - 2bc \cos(a) \)
=(15^2+15^2)-(2×15×15×cos 120)
=450-(-225)
a^2 =675
a=25.98=OB
finding xx=15sin 60
=12.99
finding hh=15sin 30
=7.5
Given the relation y = −4x2 − 8, if the input is 2, what is the output
Answers
I need help ASAP!! Due today!! I will give brainliest
What is the surface area of the rectangular solid below?
Show work please.
Answers
Answer:
Step-by-step explanation:
Substituting the given values, we get:
S = 2(10*14) + 2(14*8) + 2(10*8)
S = 280 + 224 + 160
S = 664
the surface area of the rectangular prism is 664 square inches.
I have colored the rectangle so you can find out that it has 2 parallell equal rectangles
a student estimates that each question in her test would take her a random time with mean 1 minute and standard deviation 2 minutes. if there are 100 questions in the test, what is the probability the student would take longer than 2 hours?
Answers
The probability that the mean time is longer than 2 hours is 0.9977.
Given, a student estimates that each question in her test would take her a random time with mean 1 minute and standard deviation 2 minutes.
The probability the student would take longer than 2 hours, be
P(2 < x)
P(2 < x) = 0.997
So, the probability that the mean time is longer than 2 hours is 0.9977.
Hence, the probability that the mean time is longer than 2 hours is 0.9977.
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Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Answers
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x\(\sqrt{2}\)
so the hypotonuse is 5\(\sqrt{2}\)
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
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PLEASEEEE !!!!!! Help me figure out the length centimeters of LM. And the largest angle and measure !! WILL MARK BRIANLIEST !!!!!!!!!!!
Answers
Answer:
we really can't tell because we are not able to use a protactor and a ruler
Find the angle
25 points for you plus a brainliest, thanks and 5 star
Answers
Answer:
? =64.62306
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side / hypotenuse
cos ? = 3/7
Taking the inverse cos of each side
cos ^-1 ( cos ? ) = cos ^-1 (3/7)
? =64.62306
Answer:
The angle is approximately 23°
Step-by-step explanation:
let the angle be ∆
using trigonometrical identity,
tan ∆=3/7
tan∆=0.4286
∆=tan^-1(0.4286)
∆=23.19°
During a math game, a team kept track of their answers. The following diagram describes the number of answers they got right to the number they got wrong
Answers
the amount of wrong answers is 2
so that would give us a ratio of 2:10
we can simplify this answer
this gives us 1:5
1 being wrong and 5 being right
flip these and the answer is
5:1