The quantities which are proportional to 12/4 are 36/12 and 3/1 .
What is proportional ?
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.
In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one doubles, and both decrease in size when one drops to a tenth of its original value.
The relationship between two quantities is constant for all values when they are proportional, which indicates that as one quantity rises, the other rises as well. An illustration would be the ratio of a circle's circumference to its diameter, which is equal to pi.
12/4 ⇒ 3/1
48/18= 24/9
= 8/3
The quantity 12/4 is not proportional to 48/18
36/12= 18/6
= 3/1
The quantity 12/4 is proportional to 36/12
35/15= 7/3
The quantity 12/4 is not proportional to 35/15
24/16= 12/8
= 6/4
= 3/2
The quantity 12/4 is not proportional to 24/16
3/1The quantity 12/4 is proportional to 3/1
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The point P(2k, k) i equiditant from A(-2, 4) and B (7,-5). Find the value of k.
The value of k is 3. We have to equal the distance between PA and PB and then solve the equation by squaring both side.
Given is that P(2k, k) is equidistance from A(-2, 4) and B(7, -5).
First, we try to understand what is distance formula between 2 points
let's suppose we have 2 points (x1, y1) and (x2, y2).
Find the distance between them.
The separation between two points the coordinates of two points in space are used in the formula. In coordinate geometry, a two-dimensional or three-dimensional space can be used to calculate the distance between two points using the distance formula. The Pythagoras theorem is also applied to the distance formula for two points.
The length of the line segment bridging two points on a plane is known as the distance between the points. d=√(x2 - x1)^2 + (y2 - y1)^2 is a common formula to calculate the distance between two points. This equation can be used to calculate the separation between any two locations on an x-y plane or coordinate plane.
Given that PA = PB.
First, find what is PA
[tex]\sqrt{(2k+2)^2 + (k-4)^2}[/tex]
Here we will use the formula of
(a + b)^2 = a^2 + 2ab + b^2
(a - b)^2 = a^2 -2ab + b^2
[tex]\sqrt{4k^2+8k + 4 + k^2 -8k + 16}[/tex]
[tex]\sqrt{5k^2+20}[/tex].
Now find what is PB.
[tex]\sqrt{(2k-7)^2 + (k+5)^2}[/tex]
[tex]\sqrt{4k^2 + 49 -28k + k^2 + 25 + 10k}[/tex]
[tex]\sqrt{5k^2 - 18k + 74}[/tex]
PA = PB.
[tex]\sqrt{5k^2 + 20 } = \sqrt{5k^2 -18k + 74}[/tex]
squaring both sides.
5k^2 + 20 = 5k^2 -18k + 74
18k = 74-20
18k = 54
k = 3.
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which of these functions is linear?
Answer:
Function 2, y = x - 5
Step-by-step explanation:
Function 1 is called an Absolute Value Function (where there is absolute value symbol around the whole or a part of the equation, its parent function is; y = |x| )
Function 2 is called a Linear Function (which could be written as y = mx + b, here m and b are integer values, b value is the y-intercept, m is the slope)
Function 3 is called an Inverse Function ( where a value is divided by a variable like "x", it's parent function is; y = [tex]\frac{1}{x}[/tex] )
Function 4 is called a Quadratic Function (it's a function where the variable is squared, it's parent function is; y = x² )
Hope this helps!
The function that represents the linear function is y = x - 5. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let's check all the options, then we have
A) y = |x| - 5, the function is an absolute function.
B) y = x - 5, the function is a linear function.
C) y = 1/x - 5, the function is a rectangular hyperbolic function.
D) y = x² - 5, the function is a quadratic function.
The function that represents the linear function is y = x - 5. Then the correct option is B.
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Suppose that there are some spiders in a tank and each spider has 8 legs
x=the number of spiders
y=the total number of legs on all the spiders
Which equation is correct
a. x-87
b. y=x/8
c. x=y/8
d. y=8x
Answer:
d. y=8x
Step-by-step explanation:
since y = the number of legs and spiders = x
each spider has 8 legs
so y = 8*x
which is y=8x
A line with a slope of 0 passes through the points (-2,0) and (-8,c). What is the value of c?
The value of c will be 0.
What is a slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
m = y2 - y1 / x2 - x1
where m = 0
y2 = c
y1 = 0
x1 = -2
x2 = -8
0 = c - 0 / -8 - -(2)
0 = c - 0 / -8 + 2
0 = c - 0 / -6
c - 0 = -6(0)
c - 0 = 0
c = 0
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What are sin 0 and cos 0 for each value of 0?
Answer:
a. sin 300 = -∛3/2, cos 300 = 1/2
b. sin -225 = √2/2, cos -225 = √2/2
c. sin 5π/6 = 1/2, cos 5π/6 = -3√2
d. sin -4π/3 = √3/2, cos -4π/3 = -1/2
Step-by-step explanation:
See unit circle
HELP ME PLEASE aAA REEE NO SCAMS
Answer:
5
Step-by-step explanation:
Each value of ADCB is 2x as much as EHGF
i don’t know this pls help
The perimeter of the right triangle is 228 inches
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter.
Since it is a right triangle,
c² = 57² +76²
c² = 3249 + 5776
c² = 9025
c= √ 9025 = 95
Perimeter is the sum of all sides
Perimeter = 57+76+95 = 228 inches
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What is true about the sum of the two polynomials 6 s 2 t − 2 st 2 4 s 2 t − 3 st 2?
The sum of the two polynomials 6s²t – 2st² and 4s²t – 3st² is 5(2s²t – st²) in factorized from.
What is polynomials?One or more algebraic terms (monomials) are combined mathematically to form a polynomial. Poly- (many) and -nomial (terms) are the roots of the word "polynomial".
A polynomial can have exponents (powers), constants (numbers), and variables (letters), but never negative exponents or division by a variable.
In standard form, polynomials prefer to be expressed. In addition, the exponents are arranged in descending order because they don't contain any similar terms (largest to smallest).
The sum of two polynomial is
⇒6s²t – 2st² + 4s²t – 3st²
= 6s²t + 4s²t – 3st²– 2st²
= 10s²t – 5st²
= 5(2s²t – st²)
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Full question
What is true about the sum of the two polynomials?
6s²t – 2st² and 4s²t – 3st²
Need help with this as well tyy
Answer:
<F =~ <LGH/KL = FH/JL<G =~ <KHope that helps! :)
-Aphrodite
Step-by-step explanation:
During a science experiment, a chemist boils a liquid and then sets it on the lab table and records the temperatures as it cools. The graph shows , the temperature in degrees Centigrade, and is the number of after the liquid is set on the table. Liquid Temperature Time () Which equation is the best model for this data?
The exponential function that best models this data is given as follows:
C. y = 80(0.75)^x + 20.
How to define the exponential function?An exponential function, considering it's asymptote, is defined as follows:
y = a(b)^x + c.
In which the parameters are given as follows:
a is used to define the initial value.b is the rate of change.c is the horizontal asymptote.From the graph, the horizontal asymptote is at y = 20, hence the parameter c is defined as follows:
c = 20.
When x = 0, y = 100, hence the parameter a is obtained as follows:
100 = a(b)^0 + 20
a + 20 = 100
a = 80.
When x = 5, y = 40, hence the parameter b is obtained as follows:
40 = 80b^5 + 20
80b^5 = 20
b^5 = 1/4
b = (1/4)^(1/5)
b = 0.75. (approximately).
Hence the function is defined as follows:
y = 80(0.75)^x + 20.
Meaning that the correct option is given by option C.
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Find the height of the triangle.
Answer:
72.83
Step-by-step explanation:
61²+x²=95²
3721+x²=9025
x²= 5304
x= 72.83
18. Rachel paid $46 in tax for the money she earned
as a camp counselor. How much money did
Rachel earn?
Helpp!
Answer:
$1022.22Step-by-step explanation:
The tax is 4.5%Amount of tax paid is $46Total amount of money earned is x.
4.5% of x = $46x*4.5/100 = 46x * 0.045 = 46x = 46/0.045x = 1022.22Answer:
Solution given
tax = 4.5%
Amount of tax = $46
Let total amount of money earned is x.
we have
4.5% of x = $46
x×4.5/100 = 46
x×0.045 =46
x = 46/0.045
x= 1022.22
So Racheal earn $ 1022.22.
Given this unit circle, what is
the value of x?
(x,-√2)
X =
(1,0)
[?]
Enter
Answer:
x = - √2/2
Step-by-step explanation:
We know that x = rcosθ and y = rsinθ. The unit circle always have radius of 1 unit. Therefore, r = 1 as defined. Hence:
x = cosθ, y = sinθ
x = cosθ, θ = arcsin(y)
x = cos{arcsin(-√2/2)}
Find the measurement or θ that makes sinθ = -√2/2 and that is π + π/4 = 5π/4.
x = cos(5π/4)
And cos(5π/4) = - √2/2 as well. Hence, x = - √2/2.
Unit rates are ALL AROUND US. If you have a phone, take a picture of a unit rate that you find at the grocery store, gas station, or as you are simply out and about. For your post, describe the picture and where you found your unit rate and what the unit rate was.
For your replies, think back and see if you recall seeing unit rates in those places. Describe how a unit rate could be used at the location where it was found.
A unit rate I found at the grocery store was 10 bananas/ $5 this describe the price for 10 bananas but can also be used to identify the price for 1 banana.
What is a unit rate?In mathematics, a unit rate can be defined as a mathematical expression that includes two units to show the rate of a specific activity. For example, the expression 50 kilometers/2 hours shows a car covers a distance of 50 kilometers in two hours, which can be simplied as 25 kilometers per hour.
What is an example of a unit rate that you can find at a grocery store?A unit rate I could observe last weekend while buying fruits and vegetables was 10 bananas/ $5. This unit rate is mainly used to inform buyers about the price of 10 bananas. However, this can also be simplified as $0.5 per banana and this would inform the buyers about the price per unit.
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A $280 suit is marked down by 30%. Find the sale price.
Answer:
To find the sale price of the suit, we need to first calculate the discount. The discount is equal to the original price multiplied by the discount rate, which in this case is $280 * 30% = $84.
Then we subtract the discount from the original price to find the sale price: $280 - $84 = $196.
So the sale price of the suit is $196.
Step-by-step explanation:
HELP!! I'M COMFUSED!
The mass of particle A is approximately 6.5 x 10^-8 grams and the mass of particle B is 8.8 x 10^-27 grams. Approximately how many of particle B have the same mass as one of particle A?
Answer:
Take the ratio of the 2 numbers:
[tex] \frac{6.5 \times {10}^{ - 8} }{8.8 \times {10}^{ - 27} } = 7.4 \times {10}^{18} [/tex]
This means that it takes 7.4×10^18 particle Bs to equal the mass of particle A.
BANKING Twin brothers Amare and Jermaine each received $1000 for graduation. Amare invests his money in an account that pays 2.25% compounded daily. Jermain invests his money in an account that pays 2.25% compounded
annually.
Part A
Which brother will have more money at the end of 10 years?
A) Amare
B) Jermaine
C) The accounts will be equal.
Part B
To the nearest cent, how much more money? $
A) Amaire have more money than Jermaine after 10 years.
B) By [tex]5.387*10^{11}[/tex]% Amaire has more money than Jermaine.
What is compound interest?
The interest charged on a loan or deposit is known as compound interest. It is the idea that we employ the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest.
Amare and Jermaine has initial amount = $1000
Amare spend his money that pays 2.25% compounded daily.
where are Jermain invest his money that pays 2.25% compounded annually.
Formula of Compound interest that compounded daily
final amount = [tex]A(1+\frac{r}{365})^{365t}[/tex]
where A is initial amount and t is time in years .
final amount after 10 years
final amount = [tex]1000(1+\frac{2.25}{365})^{365*10}[/tex]
final amount = 1000×[tex]1.00616^{3650}[/tex]
final amount = 1000×5.51×[tex]10^{9}[/tex]
final amount = $5.51 ×[tex]10^{12}[/tex]
Formula of Compound interest that compounded annually
final amount = [tex]A(1+\frac{r}{100})^{t}[/tex]
where A is initial amount and t is time in years .
final amount after 10 years
final amount = [tex]1000(1+\frac{2.25}{1000})^{10}[/tex]
final amount = 1000×[tex]1.00225^{10}[/tex]
final amount = 1000×1.0227
final amount = $1022.7
Part A :
Amare has more money after 10 years.
part B :
percent more money = [($5.51 ×[tex]10^{12}[/tex] - 1022.7)/1022.7]*100=[tex]5.387*10^{11}[/tex]%
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What is the XYZ axis called?
The XYZ axis is called as X-axis, Y-axis, and Z-axis, respectively.
The term axis in math is defined as a line with respect to which a curve or figure is drawn, measured, rotated, etc.
Here we have given that XYZ axis, in math are no standard names for the coordinates in the three axes
Based on these the coordinates are often denoted by the letters X, Y, and Z, or x, y, and z.
And these axes may then be referred to as the X-axis, Y-axis, and Z-axis, respectively.
Here in the graph x-axis and y-axis represent the first two dimensions where as the z-axis, the third dimension. Which is also defines the x and y denote width and height and the z denotes depth.
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Maggie made the following quilt from 64 square pieces of fabric.
A square array of eight squares wide by eight squares long. The length of the total square is seven and fifty-two hundredths feet.
What is the side length of each square piece of fabric? Enter your answer in the box.
11.75
feet
Answer:
11.75
Step-by-step explanation:
The quilt consists of a square array of 8 x 8 = <<8*8=64>>64 square pieces of fabric.
Since the length of the total quilt is 7.52 feet, the side length of each square piece of fabric is 7.52 / 8 = <<752/8=0.94>>0.94 feet.
However, since you are asked to enter your answer in the box in feet, you should express 0.94 feet as a decimal to the nearest hundredth. The nearest hundredth of a foot to 0.94 feet is 0.95 feet. Therefore, the side length of each square piece of fabric is approximately 0.95 feet, or approximately 11.75 inches.
So the answer is 11.75 feet.
x^y=y^x and x=2y prove that y=2.
Answer:
[tex] {x}^{y} = {y}^{x} \: - - - (1)[/tex]
[tex]x = 2y \: - - - (2)[/tex]
Substitute (2) into (1):
[tex] {2y}^{y} = {y}^{2y} [/tex]
Log both sides:
[tex]lg(2 {y}^{y} ) = lg(y^{2y} )[/tex]
[tex]y \: lg(2y) = 2y(lg \: y)[/tex]
[tex]y \: lg(2) + y \: lg(y) = 2y \: lg(y)[/tex]
[tex]y \: lg(2) = 2y \: lg(y) - y \: lg(y)[/tex]
[tex]y \: lg(2) = y \: lg(y)[/tex]
Divide by y on both sides:
[tex]lg(2) = lg(y)[/tex]
[tex] {10}^{lg(2)} = {10}^{lg(y)} [/tex]
2= y
y= 2 (proved)
Explanation:
• step 5: lg(m)^n= nlg(m)
• Step 6: lg(mn)= lg(m) +lg(n)
Wendall designs a tower with a height in feet that can be represented by the function T(x) = 9(x + 6.9), where x is the height of the visible space in a standard office. Then, he decides to include an above ground parking garage under the tower. The height of the parking garage can be represented by the function G(x) = 3x.
Answer:
[tex]G(T(x)) = 27(x + 6.9)[/tex]
Step-by-step explanation:
Given
[tex]T(x) = 9(x + 6.9)[/tex]
[tex]G(x) = 3x[/tex]
Required [Missing from the question]
G(T(x))
We have:
[tex]G(x) = 3x[/tex]
This implies that:
[tex]G(T(x)) = 3(T(x))[/tex]
Substitute: [tex]T(x) = 9(x + 6.9)[/tex]
[tex]G(T(x)) = 3[9(x + 6.9)][/tex]
Open bracket
[tex]G(T(x)) = 27(x + 6.9)[/tex]
find the value of x and y (2x+5) , (5x-17) and (3x-11)
The value of x and y in the diagram are 26° and 9° respectively.
What is linear pair theorem?Two adjacent angles formed a linear pair.
The linear pair property:
The sum of the angle measure of both the angles is 180°.
Given:
Using linear pair theorem,
(5x - 17)° + (3x - 11)° = 180°.
8x - 28°= 180°
8x = 180° + 28°
8x = 208°
x = 208/8
x = 26°
The value of x is 26°.
Now,
3x - 11° = 3×26°-11°
= 67°
Linear pair theorem,
67° + 90° + (2y+5)° = 180°
157°+2y+5° = 180°
2y + 162° = 180°
2y = 180° - 162°
2y = 18°
y = 9°
The value of y is 9°.
Therefore, the value of x is 26° and y is 9°.
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The complete question is given in the attached image.
what is the area of this figure?
Answer:
602
Step-by-step explanation:
First find area of the rectangle portion
L x W
22 x 15
330
Second find area of trapezoid
B1+B2/2 times height
12+22/2 times 16
34/2 times 16
17 times 16
272
Lastly, add areas together
Which number is the prime factorization for: 2 x 3 x 3 x 5
Answers:
90
180
18
95
Answer:
90
Step-by-step explanation:
2*3*3*5=
90
Answer:
90
Step-by-step explanation:
2 × 3 × 3 × 5
2 × 3 × 15
2 × 45
90
I need help with my math final!!
Answer:
8
Step-by-step explanation:
90x5=450
548-450=98
98divede12=8..2
Answer: is 14
Step-by-step explanation: its 14 but i dont know how to explain it
No links will mark brainliest if correct!
12,000$Step-by-step explanation
What type of correlation (association)? The outside temperature and the amount of layers you wear.
Answer:
negitive corralation
Step-by-step explanation:
The outside temperature and the number of layers you wear. represents a negative correlation.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
As we know a negative correlation is a relationship between two variables in which one increases while the other decreases and a positive correlation is a relationship in which one variable increases while the other decreases.
The case of the two variables that are outside temperature and the number of layers you wear represents the negative correlation because in the summer temperature increases and the number of layers decreases that you wear.
In the winter when the temperature goes down the number of layers increases that you wear.
Thus, the outside temperature and the number of layers you wear. represents a negative correlation.
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to
5.2.2 Guided Instruction: Solutions to the
Products and Quotients of Polynomials on a
Graph
Graphs can be used to determine the products and
quotients of polynomials similarly to using graphs when
adding and subtracting polynomials.
The functions a(x) and b(x), and their product, a(x) b(x),
represented by c(x), are shown on the coordinate plane.
35A
(10, 34)
-10
-30
-25-(-0,24)
MATH
20
(0.805, 105)
10
(1.5, 6)
0
(0-3)
b(x10
-15
(8,13)
C(x)
(6.5, 10)
5
(0-8)
(10, 17)
(8.695-10)
3. Find the value of c(10).
2. What is the product of a(10) · b(10)?
10, 2
15
(8,0)
-20
1. Describe how to use the graph to determine the value
of a (10) b(10).
20
25
Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.
Definition of the cubic function .f(x)=ax3+bx2+cx+d, where 0 and the coefficients a, b, c, and d are complex numbers, and where the variable x has real values. In other words, it is both a three-degree polynomial function and a real function.
Here,
Our role in this situation is:
y = ∛(x - 5) (x - 5)
so the cubic root is given.
In this case, we see that when x = 0, we have:
The y-intercept is y = -5.
And if x = 5, we get:
Because of the sign change, the x-intercept and inflection point are both equal to y = ∛0 = 0
Thus, the choice that best describes the graph is A cubic function on a coordinate plane has an inflection point at x = 5 and crosses the x-axis at x = 5.
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PLEASE PLEASE HELP ME WILL MARK BRAINLISTS!!!!!!
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
PLEASE HELP
Answer:
All of them approach 9 when x=0
Step-by-step explanation:
Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is l. Use function notation.
what does P(11) represent in this situation? What is its value?
For a roll of paper with dimensions 3 feet cut to any desire length,
a) The value of perimeter when cut to 2.5 feet is 11 feet.
b) The complete table with filled perimeter column is present above . The function notation for perimeter is , P =2(L+ W)
c) P(11) , represents the length of paper cut to 11 feet in this situation. It's value i.e., P(11) = 28 feet .
Perimeter is defined as the sum of all boundary length of any geometry. We have a roll of paper with dimensions 3 feet ( i.e, width) is cut to any length. From, it we conclude that that paper is like quadrilateral shape but not square.
a) when the paper cut in a length of 2.5 feet , so, length (L) = 2.5 feet
The perimeter of quadilateral ( rectangle in this case ) is 2(L+W) so, perimeter
= 2( 2.5 + 3)
= 11.0 feet
b) Now, we have to complete "perimeter coulmn ," in the table and side lengths are provided.
Width (w) = 3 feet
length (l) = 1 feet
perimeter = 2(4) = 8
similarly, side lengths (ft.) perimeter ( ft.)
2.5 11
1 8
2 10
11 28
L 2( L + W)
The functional notation for perimeter is
P = 2(L+W) .
c) P(11) represents the length of paper in feet when the paper is cut at a length of 11 feet . It's value is 28 feet . So, the value of P(11) is 28 feet.
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Complete question:
A roll of paper that is 3 feet wide can be cut to any length.
a. If we cut a length of 2.5 feet, what is the perimeter of the paper?
b. Complete the table with the perimeter for each given side length. Then, write a rule for a function, P, that gives the perimeter of the paper in feet when the side length in feet is L, use a function notation.
c) what does P(11) represent in this situation? What is its value?