Answer:
The answer is below
Step-by-step explanation:
The correct question is attached.
Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.
Given the lines A, B and C. The constant of proportionality can be gotten by getting the equation of the line.
Line A passes through (0,0) and (1, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]
The constant of proportionality between y and x is 5.
Line B passes through (0,0) and (3, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]
The constant of proportionality between y and x is 5/3.
Line C passes through (0,0) and (3, 2). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]
The constant of proportionality between y and x is 2/3.
Answer:
line c
Step-by-step explanation:
pls helppp
1/2•7•24=
Answer:
84
Step-by-step explanation:
0.5 · 7 · 24
0.5 · 168
84
Answer:
84
Step-by-step explanation:
Step 1: Convert number to a fraction
[tex]24=\frac{24}{1}[/tex]
[tex]\frac{1}{2}\times \frac{24}{1}\times \:7[/tex]
Step 2: Factor the number
[tex]\:24=2\times \:12[/tex]
[tex]\frac{2\times \:12}{2}\times \:7[/tex]
Step 3: Cancel the common factor
[tex]2[/tex]
Step 4: Multiply the remaining numbers
[tex]12\times \:7\\\\= 84[/tex]
Therefore, [tex]\frac{1}{2}\times 7\times 24\:=\:84[/tex]
Based on the pattern in the picture, how many squares do you think will be used to create the 5th figure? make a table.
Answer:
I think it is 7 squares.
Step-by-step explanation:
As you can see they added 3 more squares to the first block which gave you 4. Then they added 5 squares to the second one. If you take the third block, you will count 7 squares on the outside of the third block.
To what amount will $8000 growing if it is invested for 12 years at 6% compounded quarterly
Answer:
The final balance is $16,406.01.
The total compound interest is $8,406.01
Step-by-step explanation:
take the initial balance and multiply that by the interest then take 12 and multiply that times the previous answer.
the diameter of a circle is 24 meters what is the circumference
Answer:
The circumfrence is 75.36
Step-by-step explanation:
I hope this helps
Find the area of the triangle. b 22 in h 4 1/2 in.
Answer:
22 times 4 1/2 divided by 2
rationalise 1/√5 please tell
Answer:
Step-by-step explanation:
1/[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex] *[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]
=1*[tex]\sqrt{5}[/tex]/[tex]\sqrt{5}[/tex]*[tex]\sqrt{5}[/tex]
=1[tex]\sqrt{5}[/tex]/5
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Use the diagram below. If m∠3 = 60°, find m∠4.
Answer:
120
Step-by-step explanation:
10V
c
8
A'
B
6
D
с
4
2
А
В B.
х
o
2.
4
6
8
10
Fine the scale factor of the dilation.
Answer:
either 2 or 1/2, depending on what the original shape was
Step-by-step explanation:
going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.
going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.
I actually have two questions that are similar.
A card is drawn from a standard deck of cards. What is the probability
that a spade is drawn, then replaced, and a red card is drawn second?
A card is drawn from a standard deck of cards. What is the probability that a spade is drawn, NOT replaced, and another spade is drawn?
Answer:
how much would you have paid for 2000 units in August 2019
Which graph represents the parametric equations x = t^2 + 2t and y = –t, where –4 ≤ t ≤ 1?
Answer:
We have:
x = t^2 + 2*t
y = -t
where:
–4 ≤ t ≤ 1
Isolating t in the "y" equation, we get:
t = -y
Now we can use the limits of t, to find similar limits for y.
When t = -4
-4 = -y
4 = y
when t = 1
1 = -y
-1 = y
Then the limits for y are:
-1 < y < 4
Now, knowing that t = -y
we can replace that in the "x" equation:
x = t^2 + 2*t
x = (-y)^2 + 2*(-y)
x = y^2 - 2*y
Then the graph of the parametric equation is the one defined by:
x = y^2 - 2*y
in the range
-1 < y < 4
The graph of this can be seen below, where the two black dots are the points where the graph should start/end.
The graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
An approach to determine the possible graph consists in eliminating [tex]t[/tex] and simplify the resulting expression of the form [tex]f(x)[/tex]:
[tex]x = t^{2}+2\cdot t[/tex] (1)
[tex]y = -t[/tex] (2)
By (2):
[tex]t = -y[/tex]
(2) in (1):
[tex]x = (-y)^{2} + 2\cdot (-y)[/tex]
[tex]x = y^{2}-2\cdot y[/tex]
In a nutshell, the graph that represents the parametric equations is a parabola with an axis of symmetry is parallel to the x-axis.
To learn more on parametric equations, we kindly invite to check this verified question: https://brainly.com/question/9056657
Six friends are sharing the cost for a pizza
party p equally. Each person paid $15.25.
Find the total cost of the pizza party.
Answer:
4
Step-by-step explanation:
Pleaseeee helpppp meeee nowwwww
Answer:
The rate of change would be $3.50 per gallon.
Step-by-step explanation:
In the graph depicted in the picture, when the number of gallons increases by 2, the price increases by $7. Since the graph maintains a constant rate of change, that means the rate of change would be [tex]\frac{7}{2}[/tex] or $3.50 per gallon.
find the simple interest of Rs 4000 for 2 years at the rate of 8%
Answer:
Rs 4640
Step-by-step explanation:
8/100 x 4000 = 320
320 x 2 = 640
4000+ 640 = Rs4640
Feel free to mark it as branliest
A yield sign is an equilateral triangle with a side length of 36 inches. What is the height (h) of the sign? Leave your answer in simplest radical form.
Answer:
18[tex]\sqrt{3}[/tex] inches
Step-by-step explanation:
Applying,
Pythagoras theorem,
a²= b²+c²
Where a = hypotenus, b = base of the triangle, c = height.
make c the subject of the equation
c = √(a²-b²)................. Equation 2
From the diagram attached,
Given: a = 36 in, b = (36/2) in = 18 in
Substitute these values into equation 2
c = √(36²-18²)
c = √(1296-324)
c = √(972)
c = √(972)
c = √(324×3)
c = 18[tex]\sqrt{3}[/tex] inches
Select all equations that are true!
A and C are the right equation
no one has answered this one
Answer:
[tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 45°
Adjacent Leg = 25
Hypotenuse = x
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos(45^\circ) = \frac{x}{25}[/tex][Multiplication Property of Equality] Multiply 25 on both sides: [tex]\displaystyle 25cos(45^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 25cos(45^\circ)[/tex]Evaluate: [tex]\displaystyle x = \frac{25\sqrt{2}}{2}[/tex]Find the measure of the arc.
A
146°
E
ĀC = [ ? ]
Answer:
90°
Step-by-step explanation:
m arc AC = 90°
_____________
The measure of the arc length AC is 90 degrees.
What is an arc length of a circle?The arc length of a circle is the distance between two points on the curve of the circle.
We have,
The arc length and the angles with the center on a circle are equal.
So,
Arc length AC makes a 90-degree angle with the center of the circle.
Now,
Arc AC = 90 degrees.
Thus,
The measure of the arc length AC is 90 degrees.
Learn more about arc lengths here:
https://brainly.com/question/16403495
#SPJ7
Multiply and divide the following fractions. Remember to invert the divisor and then multiply the fractions.
1/2 x 2/3
1 1/2 x3/4
4/4 x 7/6
3 divided by 1/2
2/3 divided by 1/2
Answer:
1/2 x 2/3 = 0 . 3
1 1/2 x3/4 = 1. 125
4/4 x 7/6 = 1 . 27
3 divided by 1/2 = 6
2/3 divided by 1/2 = 1. 3
Step-by-step explanation:
1/2 x 2/3
= 0.33333333333
= 0 .3
1 1/2 x3/4
= 1.125
4/4 x 7/6
= 1.16666666667
= 1.27
3 divided by 1/2
= 6
2/3 divided by 1 / 2
= 1.33333333333
= 1. 3
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
1. 5/6
2. 5/8
3. 29/44
4. 3/8
5. 2/15
6. 0.3
7. 1.125
8. 1.27
9. 6
10. 1.3
11. 345,000
12. 128,000
13. 42
14. 40
15. $365.47 and $365
16. $125.66 and $126.
Step-by-step explanation:
Somebody plz help me solve!!
Answer:
C) x = 3
Step-by-step explanation:
factor out a 2 to get:
2(x² - 6x + 9) = 0
(x-3)² = 0
x = 3
Answer and Step-by-step explanation:
First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.
The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).
2([tex]x^2 - 6x + 9[/tex])
Now, we factor. Find two numbers that multiplies to [tex]9x^2[/tex] and adds up to -6x.
-3x and -3x.
Now, we substitute these two for -6x.
[tex]2(x^2 - 3x-3x+9)[/tex]
Factor.
[tex]2(x - 3)(x-3)[/tex]
Finally, we set all of the values to 0 and solve for x.
2 ≠ 0
x - 3 = 0 x = 3
x - 3 = 0 x = 3
That means the answer is C. x = 3
(Not shown, but the multiplicity of this x value is 2, because there are two
x = 3)
#teamtrees #PAW (Plant And Water)
find the volume of the cone
Answer:
A≈249.02cm
Step-by-step explanation:
Write the ratio as a fraction in simplest form.
1. 8 to 14
2. 36 even : 12 odd
3. 42 vanilla to 48 chocolate
Find the unit rate.
4. $2.50 for 5 ounces
5. 15 degrees in 2 hours
6. 183 miles in 3 hours
What is the answer to all these questions?
1. 4 to 7
2. 3 even : 1 odd
3. 6 vanilla to 8 chocolate
solve the equation for
x 3/4(x+21) = 10.5
x =
✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!Help quick please!!!
What Is the equation in slope-intercept form of the line that passes through the point (0-4) and is parallel to the line represented by y = x +4?
O y = 2x - 6
O y=-x+6
O y=-2x5
O y=x-4
Answer:
y = x-4
Step-by-step explanation:
y = x +4
This has a slope of 1 since it is in the form y = mx+b where m is the slope and b is the y intercept
Parallel lines have the same slope
The line we are interested in passes through the point (0,-4) which means it has a y intercept of -5
y = mx+b
y = 1x-4
y = x-4
The number of hours that each of 6 students spent reading last week is shown in the bar graph below. For the data in the bar graph, which measure is the LEAST? *
1 point
Captionless Image
Ken recorded the weights (in pounds) of 78 boxes. He created a box plot of his data. What is the interquartile range of Ken’s data?
A) 8
B) 10
C) 17
D) 48
The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
What is the interquartile range of a data?The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)
The third quartile of in the box plot given is : 56 pounds
The third quartile of the data as represented in the box plot given :
39 pounds
The interquartile range(IQR) of ken's data = 56 - 39
= 17 pounds
Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
Find more information about the interquartile range here
https://brainly.com/question/4102829
#SPJ2
What is the definition of mean?
Answer:
D. It is the sum of the data divided by the number of pieces of data
Step-by-step explanation:
It's also known as the average of the numbers in a data set.
What is the definition of mean?
[tex]{\boxed{\mathcal{\red{Answer.}}}}[/tex]
[tex]D.\:It \: is \: the \: sum \: of \: the \: data \: divided \: by \: the \: number \: of \: pieces \: of \: data.[/tex]
The mean is the average of the numbers.To find the mean, we add up all the numbers, then divide by how many numbers there are.[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
hey! i’ll give brainliest please help
Answer:
Subject
Step-by-step explanation:
Have a good day :)
Which of the following is a solution of y - x>-3?
O (62)
O (2,6)
O (2,-1)
Answer:
the ordered pair (2, 6) is the answer
Step-by-step explanation:
y - x > -3
you can use substitution for each option:
2 - 6 > -3 False, -4 is not > -3
6 - 2 > -3 True, 4 is not > -3
-1 - 2 > -3 False, -3 is not > -3
Given AE and BD bisect each other at point c, which congruence theorem would you use to prove triangle ABC =~ triangle EDC ?