Answers
Answer:
Table C
Step-by-step explanation:
Given
Table A to D
Required
Which shows a proportional relationship
To do this, we make use of:
[tex]k = \frac{y}{x}[/tex]
Where k is the constant of proportionality.
In table (A)
x = 2, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{2}[/tex]
[tex]k = 2[/tex]
x = 4, y = 9
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{9}{4}[/tex]
[tex]k = 2.25[/tex]
Both values of k are different. Hence, no proportional relationship
In table (B)
x = 3, y = 4
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{4}{3}[/tex]
[tex]k = 1.33[/tex]
x = 9, y = 16
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{16}{9}[/tex]
[tex]k = 1.78[/tex]
Both values of k are different. Hence, no proportional relationship
In table (C):
x = 4, y = 12
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{12}{4}[/tex]
[tex]k = 3[/tex]
x = 5, y = 15
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{15}{5}[/tex]
[tex]k = 3[/tex]
x = 6, y = 18
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{18}{6}[/tex]
[tex]k = 3[/tex]
This shows a proportional relationship because all values of k are the same for this table
Related Questions
I want to withdraw 400.00 for 9 years at 8%. How much do I need to deposit
Answers
Answer:
The principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Step-by-step explanation:
Given
Total accrued Amount A = 400.00 (Let say $)Time period t = 9 yearsInterest rate r = 8% = 0.08To determine
Principle P = ?
Using the formula
P = A / (1 + rt)
substituting A = 400.00, t = 9 and r = 0.08 in the formula
P = 400 / ( 1 + (0.08 × 9))
P = $232.56
Therefore, the principal investment required to get a total amount, principal plus interest, of $400.00 from simple interest at a rate of 8% per year for 9 years is $232.56.
Four friends are sharing 6 cups of lemonade. If they share the lemonade equally, how many cups will each friend get?
write what mixed number you got
Answers
Answer:
1 1/2 cups
Step-by-step explanation:
Write a plan to prove that angle 1 is congruent to angle 2
Answers
Answer:
alternate interior angles
Step-by-step explanation:
<1 is congruent to <2 by alternate interior angles
Serves 4 people
200 g flour
4 Problem-solving Here is a recipe
for pancakes for four people.
Sophie makes pancakes for 14 people.
She has 800 g of flour, 1200 ml of
milk and 10 eggs.
Does she have enough ingredients?
350 ml milk
2 eggs
Answers
Answer:
ghjug,yhfgugug kuul
Step-by-step explanation:
DJ Jacqueline is making a playlist for an internet radio show; she is trying to decide what 6 songs to play and in what order they should be played. If she has her choices narrowed down to 7 hip-hop, 14 pop, and 22 blues songs, and she wants to play an equal number of hip-hop, pop, and blues songs, how many different playlists are possible
Answers
Answer:
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
Step-by-step explanation:
The total songs in the playlist will be 6
Two songs from each playlist
Number of ways of selecting playlist
= N(select 2 from each category and then arrange the selected 6)
Probability of selecting two songs from each category
= (22C2)*(14C2)*(7C2)*6!
Common denominator of 3, 4, 5.
Answers
Answer:
The LCM of 3,4,5 3 , 4 , 5 is 2⋅2⋅3⋅5=60 2 ⋅ 2 ⋅ 3 ⋅ 5 = 60 .
Step-by-step explanation:
Answer: 60
3 x 4 x 5 = 60
Find the surface area of the prism.
8 m
13 m
12 m
5 m
The surface area is
Answers
Answer:
2,240
Step-by-step explanation:
13*12=156
156*5=280
280*8=2,240
If my math is correct
which is the best estimate for the sum of 2 7/8 + 2 4/5=
Answers
Answer:
6 because I would estimate 2 7/8 to 3 and 2 4/5 to 3 so 3 + 3 = 6
Identifica la base y el exponente; entonces halla el valor
53
Base
Exponente
Answers
If an object has a density of 2 g/cm3, and it is placed in a tank of water, will the object float or sink in water? Explain your answer.
Answers
Answer:
The object will sink
Step-by-step explanation:
I) The density of water is 1g/cm³.
II) The object's density is greater than 1g/cm³, thus it will sink.
what is a triangle with 75° 40° 65° classify as?
Answers
Answer:
scalene triangle
Answer:
Acute scalene triangle
Step-by-step explanation:
An acute triangle has three angles that each measure less than 90 degrees. An obtuse triangle is a triangle with one angle that is greater than 90 degrees. A right triangle is a triangle with one 90 degree angle.
HELP IT IS 5th GRADE ONLY PLEASE I GIVE ALL STARS AND BRAINLY
Answers
Answer:
the height is 15
Step-by-step explanation:
Divide the area of the base and volume to get the height
What is the number of degrees the minute hand of a clock moves between 10:21 pm and
10:34 pm on the same day?
Answers
Answer:
13
Step-by-step explanation:
Solve the inequality below:
-3x +5-16
ALGEBRA
please help
Answers
Answer:
The answer is -14x
Step-by-step explanation:
5 - 16 = -11
-3 + -11 = -14
(all we have left is the x)
-14 + x = -14x
Answer:a
Step-by-step explanation:
The area of the white square is 64 square units. The diagonal of the square was extended to point A until the length of segment AB was double the length of the diagonal of the square. What is the area of the gray part?
Answers
Answer:
Area of the gray region = 64 square units
Step-by-step explanation:
Area of the white square = 64 square units
Length of a side of the given square = [tex]\sqrt{\text{Area}}[/tex]
= [tex]\sqrt{64}[/tex]
= 8 units
By Pythagoras theorem,
Length of diagonal DB = [tex]\sqrt{BC^2+CD^2}[/tex]
DB = [tex]\sqrt{8^2+8^2}[/tex]
= [tex]8\sqrt{2}[/tex]
AD = DB = [tex]8\sqrt{2}[/tex] [Given]
OD = OC = [tex]\frac{1}{2}(DB)[/tex]
= 4√2
Therefore, AO = AD + OD = 8√2 + 4√2
= 12√2
Area of ΔACD = Area of ΔAOC - Area of ΔCOD
= [tex]\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)[/tex]
= [tex]\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2][/tex]
= [tex]\frac{1}{2}[96-32][/tex]
= 32
Therefore, area of gray part = Area of ΔACD + Area of ΔAED
= 32 + 32
= 64 square units
Answer:
64 square units
The height of a rectangle is increasing at a rate of 11 centimeters per hour and the width of the rectangle is decreasing at a rate of 9 centimeters per hour. At a certain instant, the height is 3 centimeters and the width is 8 centimeters. What is the rate of change of change of the area of the rectangle at that instant?
Answers
Answer:
-39 cm²/h
Step-by-step explanation:
The area of the rectangle is A = hw where h = height and w = width.
So the rate of change of area with respect to time is
dA/dt = d(hw)/dt
dA/dt = hdw/dt + wdh/dt
Given that at an instant h = 3cm, w = 8 cm and dh/dt = + 11 cm/h and dw/dt = -9 cm/h(negative since it is decreasing)
So, dA/dt = hdw/dt + wdh/dt
dA/dt = 3 cm × (+11 cm/h) + 8 cm × (-9 cm/h)
dA/dt = 33 cm²/h - 72 cm²/h
dA/dt = -39 cm²/h
See attached picture
Answers
Answer:
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 8 - x^2[/tex]
Required
Determine: [tex]\frac{f(x+h)-f(x)}{h}[/tex]
First, we calculate f(x + h)
[tex]f(x) = 8 - x^2[/tex]
[tex]f(x+h) = 8 - (x+h)^2[/tex]
[tex]f(x+h) =8- x^2-2xh-h^2[/tex]
So, we have:
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8- x^2-2xh-h^2 - 8 + x^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{8 - 8 + x^2- x^2-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex] [tex]= \frac{-2xh-h^2}{h}[/tex]
[tex]\frac{f(x+h)-f(x)}{h}[/tex][tex]=2x - h[/tex]
The point
P
is on the unit circle. If the y-coordinate of
P
is
−
3
5
, and
P
is in quadrant IV , then
Answers
If the y-coordinate of P is −3/5, and P is in quadrant IV, then x = 4/5
How to find the coordinate of a unit circle?
In Trigonometry, the unit circle is a special circle that is centered on the origin of a coordinate grid, with a radius equal to 1 unit.
Now, we are told that the point P is on the unit circle and also we know that the length of the line from P to the origin is exactly 1 unit.
We're also given a y-coordinate as, y = -3/5.
The y-coordinate denotes the length of a perpendicular line from point P to the x-axis.
If x is the x-coordinate, y is the y-coordinate, and h is the hypotenuse length, we can set up the equation vis Pythagoras theorem as:
x² + y² = h²
Making x the subject gives;
x = √(h² – y²)
Plug in the relevant values h = 1 and y = -3/5 to get;
x = √(1)² – (-3/5)²
x = √1 – 9/25
x = √16/25
x = 4/5
We are told that P is in quadrant IV, which has negative values for both y and positive values for x and as such x is positive.
Thus, x = 4/5
Read more about Unit Circle Coordinate at; https://brainly.com/question/26284611
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8. Which diagram correctly depicts the expression below? -5 - 2 F. G. -6 -4 -2 2 4 -12 -10 -8 -6 -2 0 H. J. -8 -6 -4 -2 0 2 4 -2 4 6
Answers
Answer:
the sender is 23 I don't no if I am right tho
An adult human body contains about 10 pints of blood. How many fluid ounces is the equivalent of 10 pints?
Answers
Answer:
160 ounces (im pretty sure sorry if im wrong)
Answer:
160 US fluid ounces
Step-by-step explanation:
use the box- and whisker plot to identify the five number summary
Answers
Answer:
Min = 11
Q1 = 13
Median = 15
Q3 = 17
Max = 22
Step-by-step explanation:
The five-number summary that is displayed by the box plot above are:
The minimum value: the data value at the start of the whisker to your left = 11
The Q1 value: the data value at the beginning of the edge of the rectangular box = 13
The Median value: the data value at the vertical line that divides the rectangular box into two = 15
Q3 value: the data value at the end of the rectangular box = 17
Max: 22
An elementary school wants to purchase a new swing set. The table shows the selling price of the swing sets they are interested in buying
Swing Set
Wholesale Price ($)
Adventurers
3,056
Thunder Ridge
4,125
The markup for both swing sets is 20%. The school decides to buy the Adventurers swing set. What is the selling price of the swing set they
are buying? Round to the nearest cent if necessary,
Answers
Answer: The answer is 3674.84
The selling price of Adventurers swing set is $3,667
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Example:
50% = 50/100 = 1/2
We have,
Adventurers swing set wholesale selling price = $3056
Markup means the amount increased.
20% Mark up on the price:
= 20% of 3056
= 20/100 x 3056
= $611.2
The selling price of Adventurers swing set:
= $3056 + $611.2
= $3,667.2
Rounding to the nearest cent:
= $3,667
Thus the selling price of Adventurers swing set is $3,667
Learn more about percentage here:
https://brainly.com/question/22882138
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Please help me this I’m running out of time
Answers
Answer:
I chose 7 as the base and 2 as the Exponent
Step-by-step explanation:
7^2 . 7 is the base and 2 is the Exponent.
Standard Form: 7^2
Expanded Form : 7 • 7 = 49
Find the value of x in each case: (See picture)
Answers
Step-by-step explanation:
180-124=56°
180-56-2x-(180-6x)=0
180-56-2x-180+6x=0
-56+4x=0
4x=56
x=14°
........
2x=28
6x=84
1st drop down answers are
1. NOT VALID
2. VALID
2nd drop down answers are
1. BIASED
2. UNBIASED
3rd drop down answers are
1. APPROPRIATE
2. INAPPROPRIATE
Answers
Answer:
uhhh i think all postive.
Step-by-step explanation:
conclusion drawings
NEED THIS ASAP
Find QA.
A.4
b.-4
c.16
d.28
Answers
Answer:
d. 28
Step-by-step explanation:
7x = 3x + 16
subtract 3x from both sides: 4x = 16
divide both sides by 4: x = 4
plug in four to find length of QA: 3 x (4) + 16 = 12 + 16 = 28
A line segment AD, contains points B & C such that C is between A and D, and B is between A and C. If AB = 6, BD = 23, and AB = CD, find the length of segment AD.
Answers
Answer:
If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.
Step-by-step explanation: pls brain list
Can some one help me with this question
Answers
Answer:
180
Step-by-step explanation:
It is always 180 for a angle like this.
can anyone help me get the surface area of
2cm
5cm
8cm
Answers
Answer:
according to your question 2cm is length of the rectangle and 5cm width and 8cm height.
so the surface area of rectangle=2(lb+bh+hl)
surface area=2(2×5+5×8+8×2)
SA=2(66)
SA=132cm²
if your figure is cuboid than the answer is this if thi is not cuboid than comment me on comment section.
How many 50p’s are in £6
Answers
Answer:
12
Step-by-step explanation:
2 of, 50 pence, = 1 pound. So multiply 6 by 2, you get 12. Your answer should be 12.
Hope this helps!
Maybe brainliest?