The table that represents a proportional relationship is Table A.
What is a proportional relationship?A proportional relationship exists between two variables when their ratios are equal or equivalent.
With a proportional relationship, there is a constant rate of change between the comparable variables.
Proportions refer to ratios of equality between two or more variables.
Where there is a proportional relationship, we can determine the constant rate of change as the same quotient.
For instance, when the number of pages per book is divided by the reading time, a constant rate of change is established if the reading speed is the same for all three books.
Table A:Pages Lucas Read 208 156 234
Time (hours) 8 6 9
Reading speed 26 26 26 (234/9)
Table B:Pages Britney Read 168 120 348
Time (hours) 6 4 12
Reading speed 28 30 29 (348/12)
Thus, the constant rate of change or proportional relationship can be found in Table A and not in Table B.
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Question Completion:Table A:Pages Lucas Read 208 156 234
Time (hours) 8 6 9
Table B:Pages Britney Read 168 120 348
Time (hours) 6 4 12
This figure consists of a rectangle and a quarter circle.
What is the perimeter of this figure?
Use 3.14 for π.
Enter your answer as a decimal in the box.
cm
Answer:
75.27
Step-by-step explanation:
Rectangle = 20+2+2+20-11=47
quarter circle = 1/4(2)(11)(3.14)=17.27 + 11 = 28.27
47+28.27=75.27
Answer:
75.27.cm
Step-by-step explanation:
it works i got a 100 on the test
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
use mathly and you don't need to download
We are given both the slope and y-intercept so writing the equation in slope-intercept form is a breeze! Label both the slope and y-intercept and them substitute them into the general form of slope-intercept form. So, y=4x−3.
Answer:
below
Step-by-step explanation:
hope it is well understood?
The slope is 4 and y- intercept is 13
What is slope?A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics.
A slope exists Numerical calculation of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment stands as the proportion of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).
Given
Slope
y = 4x-3
dy/dx = 4
slope = 4
intercepts y = 4(4) 3
y = 16-3
y = 13
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Is this correct ? Please help thanks so much
Answer:
yes
Step-by-step explanation:
using elimination you can see every other answer is definitely wrong leaving you with just one which is 2UX
9514 1404 393
Answer:
2UX (your answer is correct)
Step-by-step explanation:
One way to define a parabola is as the set of points equidistant from the focus and directrix.
That means the distance from W to the directrix must be the same as the distance WU. Since the parabola is symmetrical and WU is parallel to the directrix, we have WU = UT = UX. So the double length WT is double the distance UX:
WT = 2UX
jameson runs m miles and burns c number of calories is this independent or dependent
Answer:
the amount of miles he runs (m) is independent and the number of calories (c) he burns is dependent
Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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what is the scale factor of the dilation
Answer:
Step-by-step explanation:
3
7
10
2
Which of the following keystroke sequences is better for finding the shaded area? Explain
your reasoning.
A (7 + 3)(10 + 2) - (7)(10)
B (7) (10) -(10)(12)
In general, when working with any software or application, it is helpful to familiarize oneself with the available tools and functions and to experiment with different keystroke sequences to find the most efficient and effective method for the task at hand.
What are Keystroke Sequences?Keystroke sequences are sets of commands that are used to perform a specific task on a computer or other electronic device. The effectiveness of a keystroke sequence depends on the task at hand and the software or application being used.
Finding a shaded area typically involves using a mathematical formula to calculate the area of the shape and then subtracting the area of any unshaded portions.
Depending on the software or application being used, there may be built-in tools or functions to assist with this calculation.
P.S: This is a general overview, seeing the question is incomplete.
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how to solve this question?
The revised Doubtful Debts Provision should be, $4,555.
Now, Using a net debtors value of $91,100 and a provision rate of 5%, use the calculation to get the adjusted Provision for Doubtful Debts (PDD):
Net Debts x Provision Rate equals Adjusted PDD.
The computation would then be:
= $91,100 x 0.05
= $4,555 is the adjusted PDD.
Because of the additional $550 in bad debt and the revised net debtors value of $91,100, the Provision for Doubtful Debts must be raised by ,
= $4,555 - $3,500
= $1,055
Hence, The revised Doubtful Debts Provision should be $4,555.
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After four years in college, Josie owes $9500 in student loans. The interest rate on the federal loans is 11% and the rate on the private bank loans is 7%. The total interest she owed for one year was $901.00. What is the amount of each loan?
Step-by-step explanation:
federal= $4180
(9500*0.11*4)
private=$2660
(9500*0.07*4)
What is the correct conjunction identity for tan 0?
A. csc (90 ° - 0)
B. sec (90 ° - 0)
C. sin (90 ° - 0)
D.cos (90 ° - 0)
E. cot (90 ° - 0)
The correct cofunction identity for tan 0 is cot (90 ° - 0). Option E
What are cofunction identities?The cofunction identities are defined as trigonometric functions elaborates the relationship between the trigonometric identities.
These trigonometric identities includes;
SineCosineTangentCotangentSecant CosecantIt is crucial to note that the value of a trigonometric function of any specific angle is equivalent to the value of the cofunction of their complementary identities.
The cofunction identities are represented thus;
sin θ = cos(90 - θ)
cos θ = sin(90 - θ)
cot θ = tan(90 - θ)
tan θ = cot(90 - θ)
csc θ = sec(90 - θ)
sec θ = csc(90 - θ)
For tan 0, we have that its cofunction identity is expressed as;tan 0 = cot (90 ° - 0)
Thus, the identity is cot (90 ° - 0)
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The correct cofunction identity for tan 0 is cot (90 ° - 0). Option E.
What are cofunction identities?The cofunction identities are defined as trigonometric functions elaborates the relationship between the trigonometric identities.These trigonometric identities includes; sine,cosine, tangent, cotangent, secant cosecant.
It is crucial to note that the value of a trigonometric function of any specific angle is equivalent to the value of the cofunction of their complementary identities.The cofunction identities are represented thus;
sin θ = cos(90 - θ)cos θ = sin(90 - θ)cot θ = tan(90 - θ)tan θ = cot(90 - θ)csc θ = sec(90 - θ)sec θ = csc(90 - θ)For tan 0, we have that its cofunction identity is expressed as;tan 0 = cot (90 ° - 0)Thus, the identity is cot (90 ° - 0)
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help please, will give brainliest!
A. the equation has two true solutions
B. the equation had one true solution
C. the equation has one extraneous solution
D. the equation has one true solution and one extraneous solution
Answer:
C. the equation has one extraneous solutionStep-by-step explanation:
Given equation:
x/(x - 1) + 2/(x + 2) = -6/(x² + x - 2)Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2
Multiply both sides by x² + x - 2:
x(x + 2) + 2(x - 1) = -6x² + 2x + 2x - 2 + 6 = 0x² + 4x + 4 = 0(x + 2)² = 0x + 2 = 0x = -2There is one solution but it is not true one.
Option C is correct
Answer:
\( \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }\)
x =-2 is the right answer.C. the equation has one extraneous solution.
HELP ME PLEASE I WILL PUT U AS BRILLIANT
Answer:
2 and 1/4
Step-by-step explanation:
3.5 - 1.25 = 2.25
2.25 as a mixed number is 2 and 1/4
For every 8 boys signed up for intramural basketball, there are 6 girls. If there are 48 boys signed up to play intramural basketball, how many girls are signed up? 30 girls 33 girls 36 girls 42 girls
Answer:
36 girls signed up
Step-by-step explanation:
1. Create a ratio for boys to girls: 8:6
2. Multiply 8 * 6 to get 48 (amount of boys who signed up.)
Whatever we do one on side we do to the other, so multiply the girls by 6.
6 * 6 = 36
48:36 = 8:6
these ratios are proportional
Find the derivative of f(w) = 2/(w^2-4)^5
The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)
We have,
To find the derivative of the function \(f(w) = 2/(w^2 - 4)^5\), we can use the chain rule and the power rule for differentiation.
Let's go through the steps:
First, rewrite the function as \(f(w) = 2(w^2 - 4)^{-5}.\)
Now, let's differentiate f(w) with respect to w:
\(f'(w) = d/dw~ [2(w^2 - 4)^{-5}]\)
To apply the chain rule, we need to differentiate the outer function and multiply it by the derivative of the inner function.
Using the power rule, the derivative of (w² - 4) with respect to w is 2w.
Applying the chain rule:
\(f'(w) = -10 \times 2(w^2 - 4)^{-6} \times 2w\)
Simplifying further:
\(f'(w) = -40w(w^2 - 4)^{-6}\)
Therefore,
The derivative of function f(w) = \(2/(w^2 - 4)^5 ~is ~f'(w) = -40~w~(w^2 - 4)^{-6}.\)
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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An image of a rhombus is shown.
A rhombus with a base of 21 centimeters and a height of 17.3 centimeters.
What is the area of the rhombus?
363.3 cm2
181.65 cm2
176.6 cm2
38.3 cm2
The Area of the rhombus with base 21 cm and height 17.3 cm is 363.3 cm².
What is area of Rhombus?To calculate the base of the rhombus, we will follow the steps below;
write the formula for calculating the area of a rhombus
area of a rhombus = b × h
where h is the height of the rhombus and b is the base of the rhombus
Given:
Base = 21 cm
Height = 17.3 cm
We know area of Rhombus = base x height
= 21 x 17.3
= 363.3 cm²
So, the area of Rhombus is 363.3 cm².
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Which statement about rational numbers is true?
A. All rational numbers are fractions.
B. Rational numbers never have repeating decimals.
C. Some integers are not rational numbers.
D. All fractions containing integers are rational numbers.
Answer:
C. Some integers are not rational numbers.
Step-by-step explanation:
C. Is the correct answer!
Hemos comprado 3 kg de manzanas y nos han cobrado $ 3.45. ¿Cuánto nos cobrarían por 1, 2, 5 y 10 kg?
Answer:
Por 1 kg: $1.15
Por 2 kg: $2.30
Por 5 kg: $5.75
Por 10 kg: $11.50
Lo siento si esta respuesta no es correcta, si lo es o no, por favor dímelo en los comentarios!
Step-by-step explanation:
Primero, divida $ 3.45 por 3, lo que le dará $ 1.15.
Luego, multiplique $ 1.15 a 1, 2, 5 y 10.
(Respondí esto usando un traductor, por lo que mi gramática podría estar un poco desviada. ¡Espero que esto ayude!)
I DONT WANT HOW TO DO IT JUST THE ANSWER- DO BOTH
Answer:
a) 1200
b) 450
c) 380
d) 560
Step-by-step explanation:
Find the area of a rectangle with
side lengths of in. and in.
2|3
in.
415
in.
Simplify your answer completely.
in.2
Answer:
Area = length * width
= 4/5 * 2/3
= 8/15
Answer:
\(area = \frac{8}{15} {in}^{2} \)
Step-by-step explanation:
The solution is in the attached file
Rewrite the expression with a rational exponent as a radical expression.
The expression with a rational exponent as a radical expression is \(\sqrt[9]{3}\). Therefore, option B is the correct answer.
The given expression is \((3^{\frac{2}{3} } )^{\frac{1}{6} }\).
What is a rational exponent?Rational exponents are exponents of numbers that are expressed as rational numbers, that is, in \(a^\frac{p}{q}\), a is the base and p/q is the rational exponent where q ≠ 0.
Now, the given expression can be solved as follows:
Using power law \((a^m)^n=a^{m\times n}\), we get
\((3^{\frac{2}{3} } )^{\frac{1}{6} }=3^{\frac{2}{3}\times \frac{1}{6}}\)
\(=3^{\frac{1}{9} }\)
The equivalent expression to \(=3^{\frac{1}{9} }\) is \(\sqrt[9]{3}\).
The expression with a rational exponent as a radical expression is \(\sqrt[9]{3}\). Therefore, option B is the correct answer.
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F. Why would a linear function describing an investment made at a bank have a minimum
value but no maximum value? Explain your reasoning.
Answer: The function would have a minimum value because the least you will ever have is 0$. It cannot go below 0, so that is the minimum. However, depending on how much time has passed, the maximum amount of money you have can change. It can always go up more, so there is no set maximum.
Step-by-step explanation:
There are two x intercepts for y = (x + 2)(x - 1)
The first is
and the 2nd is
Answer:
(-2,0) and (1,0)
Hope this helps!
4.55 is what percent of 6.5
Answer: it would be around 70 percent
Step-by-step explanation: because 70 percent of 6.5 is 4.55 hence the answer is 70%.
Draw an area model to show how the distributive property of multiplication can be used to solve 7×9.
Answer:
well i don't know exactly but i know that the answer is 63 hope you have a great day.
Step-by-step explanation:
Katerina runs 15 miles in 2 1/2 hours what is the average number of minutes it takes her to run 1 mile?
We have that The average number of minutes it takes her to run 1 mile
\(X=42min\)
From the Question we are told that
Katerina runs 15 miles in 2 1/2 hours
Average number of minutes it takes her to run 1 mile
Generally
\(2 1/2 hour=10.5h\)
\(10.5hours=630minutes\)
Therefore
The average number of minutes it takes her to run 1 mile
\(X=\frac{630}{15}\)
\(X=42min\)
In conclusion
The average number of minutes it takes her to run 1 mile
\(X=42min\)
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is 4-(-10)=14 a true statement
Answer:
Yes, it is a true statement
Step-by-step explanation:
Since two negatives cancel out the equation would be
4 + 10 and that equals 14.
So the statement is true!
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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louizah baked 8 dozen muffins and sold them all at the school for R5,50. if louizah bought the ingredients for R12,50. Determine louizahs profit
Answer:
3550
Step-by-step explanation:
C.P=Rs 1250
S.P=8(12)(50)
Rs4800
P=S.P-C. P
=Rs4800-Rs1250
= Rs3550