Complete the table with values 3, 2, 24 and 10 respectively
How to complete the table?
The constant of proportionality is the ratio of the y value to the x value i.e.
constant of proportionality (k) = y/x
The table can be completed by determining the constant of proportionality. That is:
k = y/x
where y = hours and x = magnets
k = 4/12 = 1/3
when y = 1:
1/3 = 1/x
x = 3
when x = 6:
1/3 = y/6
y = 2
when y = 8:
1/3 = 8/x
x = 24
when x = 30:
1/3 = y/30
x = 10
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8.326 rounded to the nearest tenth
Answer:
8.3
Step-by-step explanation:
The number after three is below 5 so it stays as 8.3
2 Which of the following could be appropriate values for an equation to be in Standard Form (Ax+By=CP
A=-2,B=3 and C=5
A=2,B=1/2 and C=0
A=1,B=0 and C = 5
O A=1/4,B=3/4 and C=0
Answer:the third one
Step-by-step explanation:
9x+12y=-108 Please solve this, but it cannot be in fraction form!!!
All you have to do is solve this by using substitution or elimination. or in this case, because we don’t have a second equation, we would solve the x-intercept and y-intercept
X=-12
Y=-9
How can you use this pattern to find 3°
Number pattern, sequence, finding the algebraic rule and using a ... To illustrate this, consider the following sequence of numbers {1, 3, 5, 7, 9, …}.
What is Number pattern?Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers.Here, we get the numbers in the pattern by skip counting by 5. Given are the steps to identify a number pattern.To solve the problems of number pattern, we need first to find the rule being followed in the pattern.
To find out the rule, we need to see the first few numbers in the series.Try to see the difference between consecutive numbers, it will help us understand the relationship between the numbers.Number pattern is a pattern or sequence in a series of numbers. This pattern generally establishes a common relationship between all numbers. For example: 0, 5, 10, 15, 20, 25, … Here, we get the numbers in the pattern by skip counting by 5.
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The complete question is -
How can you use this pattern to find 3° of the number in Series ?
y=1/4x+4, solve for x
[tex] \huge\pmb{\red{A}\pink{N}\orange{S}\blue{W}{E}\purple{R᭄}}[/tex]
[tex]\sf y = \frac{1}{4} \red{x} + 4[/tex]
[tex]\sf y = \frac{\red{x}}{4} + 4[/tex]
[tex]\sf y = \frac{\red {x}+4*4}{4}[/tex]
[tex]\sf y = \frac{\red {x}+16}{4} [/tex]
[tex]\sf y = \frac{\red {x}+16}{2^2}[/tex]
[tex]\sf 4y = \red {x}+16[/tex]
[tex]\sf 4y+(-16) = (\red x+16) + (−16)[/tex]
[tex]\sf 4y− 16 = \red{x }+ 16 − 16[/tex]
[tex]\sf 4y-16= \red x[/tex]
[tex]\boxed{ \sf\red{x} = 4y-16}[/tex]
_____________________....
[tex] \pmb{\color{purple}{LearningLifell}}[/tex]
Show your work please!!!
Answer:
Error is in line 3
Error description: Root of 4 is 2 not 4
Correct answer should be 9*√5 (12*√5 - 3*√5)
One root of the equation 4x² + 12x + k = 0, k = Z and x = R, is five times the other root.
Find the value of k.
We found the value of K is 5 and the root of equation is x = -1/2 and x = -5/2
What is quadratic equation?An equation of second order polynomial having one variable is called quadratic equation. Second order means the highest power used with variable is 2.
How to determine the value of k in the question?We are given, 4x²+ 12x +k =0, k =Z and x = R
the quadratic equation is 4x²+12x+k =0
we know the roots of a quadratic equation is x = - b ± √ (b² - 4ac) / 2a
when the quadratic equation is ax²+bx+ c= 0
Hence, roots of the equation given in question will be,
x = - 12 ±√ (12² - 4×4×k) / 2×4
x = - 12 ± √(144-16k) / 8
as per the condition given in question, one root of this equation is 5 times the other root.
hence, - 12 -12 √(144-16k) / 8 = [- 12 + √(144-16k) / 8] × 5
multiplying both sides by 8
- 12 - √(144-16k) = [-12 + √(144-16k)] ×5
- 12 - √(144-16k) = - 60 + 5√(144-16k)
- 12 + 60 = 6√(144-16k)
48 = 6√(144-16k)
8 = √(144-16k)
64 = 144 -16k
16k = 80
k = 5
the value of k =5
by putting the value of k =5
x = -12 ± √ (144 - 80) / 8 = (-12 ± 8) /8
x = -1/2 and x = -5/2
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Show that 12 multiplied by 4 is 48, using at least three daily life examples.
Answer:
Step-by-step explanation:
If there are 12 cookies in a package and you want to buy 4 packages, you will need a total of 12 x 4 = 48 cookies.
If you have a dozen eggs and you want to make 4 omelets, you will need a total of 12 x 4 = 48 eggs.
If you have 12 pieces of fruit and you want to make 4 fruit salads, you will need a total of 12 x 4 = 48 pieces of fruit.
 A jar filled with maple syrup weighs 1.5 pounds. Two jars filled with honey weigh 3 pounds. What is the weight of the jar?
The weight of the jar after solving equation simultaneously is w=0.
Define system of linear equation.A set of two or more first-degree equations with two or more connected unknowns is known as a system of linear equations.
How to solve system of linear equation.A system of equations is solved by determining the value of each unknown until the system's equations are all satisfied. That is, it is necessary to find the values of the unknowns so that, when substituted, they will produce the suggested solution in both equations.
j+w=1.5
2j+w=3
Simultaneously solving gives
w=0
the weight of jar is 0.
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please help me answer this question.
The distance between points E(-8, 7) and L(-1, 4) on the coordinate plane is √58 units
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The distance between two points in the coordinate plane is given as:
[tex]Distance=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
The distance between points E(-8, 7) and L(-1, 4) is:
[tex]EL = \sqrt{(4-7)^2+(-1-(-8))^2}=\sqrt{58}[/tex]
The distance is √58 units
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Two sides
Of the x that are multiplied together to get the top number of the x but added together to get the bottom number of the x like 24 too 25 on bottom
As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.
What is the definition of the square root?By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.
Here,
In this case, we're using the square to solve a quadratic equation.
Never forget to use both the negative and positive roots of the equation and to square the values of both sides.
We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.
As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.
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What are the domain and range of f(x) = x - 3| +6?
O Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
O Domain: {x|x≥ 3}
Range: {y ly ≥ 6}
O Domain: {x|x is all real numbers}
Range: {yly 2-6}
O Domain: {x|x≥ 3}
Range: {yly 2-6}
The domain and range of the absolute value function are the ones in the first option.
Domain: {x|x is all real numbers}Range: {yly ≥ 6}What are the domain an range of the absolute value function?Here we have the absolute value function:
f(x) = |x - 3| + 6
The domain for all absolute value functions is the set of all real numbers, as there are no input that generates a problem with the function.
And the range, the set of the inputs, has a minimum at the vertex.
Remember that if the vertex is (h, k), then we can write the function as:
f(x) = |x - h| + k
Then in this case:
f(x) = |x - 3| + 6
The vertex is at (3, 6)
Then the range is the set of all real values equal to or larger than 6, or:
y ≥ 6
Then the correct option is the first one:
Domain: {x|x is all real numbers}
Range: {yly ≥ 6}
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Two bulbs flush at regular intervals at 30 and 36 seconds respectively they flush together at 10:45 AM what time will they flush together for the second time
Answer: 10:48 AM
Explanation:
Two bulbs flash at regular intervals of 30 and 36 seconds respectively. LCM of 36 and 30 = 180. 180/60 = 3 minutes. They will flash together every 3 minutes. If they flash together at 10:45, the second time they will flash together will be 10:45 + 3 minutes = 10:48.
Hope this helps!!! :)
Help me please! Whoever answers correctly gets brainliest and 40 points!
Which number is equivalent to the fraction 15/7?
O 2
O 2 1/7
O 7/15
O 1 8/7
17. Among 2.6, 2.006, 2.66 and 2.08, the largest number is (a) 2.006 (b) 2.08 (c) 2.6
Answer:
2.66
Step-by-step explanation:
Answer:
2.66
Step-by-step explanation:
look at first at tenths for the biggest no .if there is a tie proceed to hundredths for biggest no and so on
A triangular side panel for a roof has the dimensions shown.
26 ft
30°
What is the approximate area, in square feet, of the side panel?
OA.
О в.
O C.
O D.
239
146.4
119.5
60°
292.7
Answer:
d
Step-by-step explanation:
fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
find the equation of a line parallel to y=-5x+3 that pases through the point -3,-4
Answer:
y = -5x -19
Step-by-step explanation:
You want the equation of the line parallel to y=-5x+3 through point (-3, -4).
Parallel linesThe equations of parallel lines differ only in their constant. We can find the new constant by using the values at the given point:
y = -5x +b
-4 = -5(-3) +b
b = -4 -15 = -19 . . . . . . subtract 15
The equation is ...
y = -5x -19
find the values of the variable in the following, giving brief reasons:
Therefore , as a result, we may state that the stated trapezoid angles x = 110°, which is the solution to the problem.
Explain the trapezoid.A trapezoid is a quadrilateral that has at least one connected pair of sides. It has the name trapezium. By definition, a trapezoid in Euclidean geometry is a convex quadrilateral. The trapezoid's base is made up of its parallel sides. A closed, flat shape having two neighboring sides and four successive sides is called a trapezoid. The parallel walls and base of the trapezoid are commonly referred as as the parallel sides and the legs, respectively.
Here,
Given : 110°
and 90°
To find the value of x ,
Thus,
The value of angle opposite to x :
=> 110° + y =180°
=>y =180°-110°
=>y = 70°
thus, x value is
=> x + 70° =180°
=> x =110°
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Please help will mark Brainly
What is the range of the function with the graph given below ?
The graph in the question is a parabola that opens downwards.
What is function?A function is a block of organized, reusable code that is used to perform a single, related action. Functions provide better modularity for your application and a high degree of code reusing. As you already know, Python gives you many built-in functions like print(), etc. but you can also create your own functions. These functions are called user-defined functions.
This means that the range of the function is all real numbers less than or equal to the y-intercept of the parabola, which is 0 in this case. Therefore, the range of the function is all real numbers less than or equal to 0.
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One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
Answer:
Cost = 12696
Step-by-step explanation:
One side of a square field is 92m. Find the cost of raising lawn on the field at the rate of 1.50 per sq.m
find the area and multiply by 1.50
Square area = l²
Square area = 92²
Square area = 8466 m²
Cost = Area × rate of 1.50 per sq.m
Cost = 8466 × 1.50
Cost = 12696
with a 5% sale discount the price of an item is $38 what was the original price
Answer:
[tex]38 \div5 \\ [/tex]
What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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parallel abcd is similar to parallelogrem efgh. what is the lenght of gh?
The value of side GH as shown in the parallelogram is 2 units
What is an parallelogram?Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other
Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.
Parallelogram abcd is similar to parallelogram efgh, hence:
FG/BC = GH / CD
substituting:
7/21 = GH / 6
GH = 6 * 7/21 = 2
GH is 2 in
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Please help! Ubehebe crater in death Valley has a diameter of a little more than 1/2 a mile. If Latisha walks around its rim at a rate of 2 mph, about how long will it take her to walk all the way around the crater? Round your answer to the nearest tenth. Use 3.14 for pi.
The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
What is speed?Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.
here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD
= 3.14 × 1/2
= 1.57 mile
Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours
Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.
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A science teacher makes two mixtures of red dye and water. Mixture A has 3 mL of red dye every 20 mL of water. Mixture B has 4mL of red dye fr every 30 mL of water. Which mixture is redder?
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Two red dye and water combinations are created by a science teacher. For every 20 mL of water in Mixture A, 3 mL of red dye is present. For every 30 mL of water in Mixture B, 4 mL of red dye is present.
The ratio of the red dye to water for A is given as,
⇒ 3 / 20
⇒ 0.15
The ratio of the red dye to water for B is given as,
⇒ 4 / 30
⇒ 0.133
The decimal value of the ratio for A is greater than for B. Then mixture A is redder.
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Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
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Can any1 help with this pls
SOMEONE PLEASE HELPPP
The values of the [tex]\bar x[/tex] (x-bar) (the mean) and the median of the dataset in the question are;
[tex]\bar {x}[/tex] ≈ 13.05
Median = 13.60
What is the mean and median of a dataset?The mean and the median are descriptive statistical values that provides a description of the data that can be found in the dataset.
The mean is the average value of the data in the dataset, and the median is the middle value of the set of data arranged in an order of increasing values.
The mean is the average value of the set of data which is obtained by dividing the sum of the data points by the number of the datapoints, we get;
The number of data points = 28
The sum of the data is; (4.7 + 12.6 + 3.6 + 16.1 + 2.3 + 28.2 + 2.2 + 16.9 + 10.7 + 19.5 + 11.4 + 27.9 + 11 + 15 + 4.2 + 15.8 + 15.9 + 17.3 + 24.9 + 10.8 + 16.4 + 7.3 + 3.2 + 14.6 + 2.6 + 8.4 + 21.2 + 20.8) = 365.5
The average is the mean is therefore; [tex]\bar x[/tex] = 365.5 ÷ 28 ≈ 13.05
The median is the value of the number in the middle when the numbers are arranged in increasing order as follows;
2.2, 2.3, 2.6, 3.2, 3.6, 4.2, 4.7, 7.3, 8.4, 10.7, 10.8, 11, 11.4, 12.6, 14.6, 15, 15.8, 15.9, 16.1, 16.4, 16.9, 17.3, 19.5, 20.8, 21.2, 24.9, 27.9, 28.2
The numbers at the middle of the set of numbers are 14th and 15th numbers, which are 12.6 and 14.6, which indicates that the median is the average of the two numbers, which is therefore;
Median = (12.6 + 14.6)/2 = 13.60
The median is 13.60
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-15 POINTS- Find the length of the indicated side of the similar figure X=[?]