The equation of variation is xy = k.
The required values are given below.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
y inversely varies as x.
That means, y ∝ 1/x.
So, y = kx, where k constant of variation.
Then, x × y = k
When y = 8, x = 3.
k = 3 × 8 = 24
So, the equation of variation is xy = 24.
When x = 6,
6y = 24
⇒ y = 4
When y = 9, x = 6.
k = 6 × 9 = 54
So, the equation of variation is xy = 54.
When y = 4,
4x = 54
⇒ x = 27/2
When y = 1.5, x = 14.
k = 1.5 × 14 = 21
So, the equation of variation is xy = 21.
When x = 9,
9y = 21
⇒ y = 7/3
When y = 20, x = 10.
k = 20 × 10 = 200
So, the equation of variation is xy = 200.
When y = 25,
25x = 200
⇒ x = 8
Therefore, the values are given above.
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An arithmetic sequence k starts 4,13….. explain how you would calculate the value of the 5000th term
Therefore , the solution of the given problem of arithmetic mean comes out to be a 5000th term = 44995
The definition of arithmetic meanThe sum of all values in a list multiplied by the total no. all items in the list yields the arithmetic average, often known as the group's means. The growth in arithmetic follows a similar pattern. The following equation + 7 + 9 equals 21, but 21 multiplied by 3 (there's several currently three numbers) equals 7, proving that the mean of the numbers 5, 7, while 9 is 4, and the median of the real numbers 5, 8, and 9 is 3.
Here,
Given : sequence is -
=> 4, 13, 17, 18,21...….
a = 4
d = 9
for
=> a 5000th term = a + 4999d
=> a 5000th term = 4 + 4999*9 = 44995
Therefore , the solution of the given problem of arithmetic mean comes out to be a 5000th term = 44995
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what is the answer of 12 - y = 5
Answer:
y = 7
Step-by-step explanation:
12-5=7
7+5=12
Answer:
y = 7
Step-by-step explanation:
12 - y = 5
Subtract 12 from both sides.
-y = -7
Multiply both sides by -1.
y = 7
URGENTTT PLEASE!! in middle of test help!
I WILL MARK BRAINIEST! if you answers in under 5mins!
Answer:
equation: 2(2w + 2) = 60
length = 16
width = 14
Step-by-step explanation:
width = w
length = w + 2
perimeter = 2(w + w + 2) = 60
equation: 2(2w + 2) = 60
4w + 4 = 60
4w = 56
w = 14
width = 14
length = w + 2 = 14 + 2 = 16
length = 16
Simplify the expression
61/4 divided by 6 10/3
What is the only even number that is prime?
Answer:
The only even prime number is 2.
pls mark me as brainliest :)
Does a have to be greater than 1 in standard form?
The mantissa of scientific notation or standard form is between 1 and 10 in absolute value, or 1 ≤ |a| < 10. It can be 1, hence, it does not have to be greater than 1.
Standard form is also called scientific notation and has the form:
a x 10ᵇ
Where b is an integer and is called exponent.
a is a real number between 1 and 10 (in absolute value), it includes 1 but not 10, or we can write a should satisfy 1 ≤ |a| < 10.
Usually, a is called mantissa.
Example:
2467 can be written in standard form as:
2467 = 2.467 x 10³
0.0095 can be written in standard form as:
0.0095 = 9.5 x 10⁻³
150 x 10² can be written in standard form as:
150 x 10² =1.5 x 10⁴
-0.062 can be written instandard form as:
-0.062 = -6.2 x 10⁻²
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Solve the inequality n - 3/8 > -2/5 for n
The solution of the inequality for n is n > 31/40
What is inequality ?Inequality is a statement of an order relationship greater than or equal to less than between two numbers or algebraic expressions.
Inequalities are not only driven by and measured by income but are also determined by other factors including gender origin, ethnicity, disability, class and religion. Moreover inequalities are determined not only by income but also by other factors.
How to solve the inequality?
The inequality is given as
n minus three eighths is greater than negative two fifths
Rewrite properly as
n - 3/8 > 2/5
Add 3/8 to both sides
n > 3/8 + 2/5
Evaluate the sum
n > 31/40
Hence, the solution of the inequality for n is n > 31/40
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The map that 1cm =50mile
Answer:
jejejdhudsjhshsiwvvjsjsjd
Given the function h(x)=-x²+4x+12, determine the average rate of change of the function over the interval -1≤x≤8
The average rate of change of h(x) on the interval [-1, 8] is r = -3.6
How to find the average rate of change?For any function, the average rate of change on an interval [a, b] is given by:
r = ( f(b) - f(a))/(b - a)
In this case, the function is:
h(x) = -x^2 + 4x + 12
And we want to find the average rate of change on the interval [-1, 8]
Evaluating the function in these values we will get:
h(-1) = -(-1)^2 + 4*(-1) + 12
h(-1) = -1 - 4 + 12 = 7
h(8) = -(8)^2 + 4*8 + 12 = -20
Then the average rate of change is:
r = ( h(8) - h(-1) )/(8 + 1)
r = (-20 - 12)/9
r = (-32/9) = -3.6
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PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!
(GEOMETRY)
WILL MARK BRAINLIEST!!!!!!
Answer: v would be root2 and u would be 2
Step-by-step explanation:
arrange the following lengths in ascending order
1)15m 2)7km 3)1,800
Answer:
15m, 1,800cm, 7km
Step-by-step explanation:
Ascending order mean from smallest value to largest value
We know
1km = 1000m
1km = 100000cm
1) 15m = 0.015km
2) 7km
3) 1800cm = 0.018km
So, the order is
15m, 1,800cm, 7km
Griffith purchased a used car for $9.400. He paid 6%% sales tax. How much tax did he pay in sales tax?
From the provided value of the paid price of the car and sales tax percentages, The answer is $564.
What do you mean by percentages?Percentages are a way to express a number as a part of 100. The symbol for percentage is %. For example, 25% means 25 out of 100, or one quarter. To convert a percentage to a decimal, divide it by 100. For example, 25% = 25/100 = 0.25. To convert a decimal to a percentage, multiply it by 100. For example, 0.25 = 0.25 * 100 = 25%. You can also calculate percentage by multiplying the number with the percentage rate. For example, if you want to find out what 25% of 50 is, you can calculate it by multiplying 50 by 0.25 (since 25% is the same as 0.25 as a decimal).
What do you mean by tax?Tax is a financial charge imposed by a government on individuals, businesses, and other entities. The revenue generated by taxes is used to fund government programs and services such as infrastructure, education, healthcare, and defense. There are many types of taxes, including income tax, sales tax, property tax, and capital gains tax. The specific tax that a person or entity is required to pay depends on the jurisdiction and the type of activity or transaction involved. Tax laws and rates can vary widely between countries and even within a country.
Griffith paid 6% of $9400 in sales tax. To find out how much that is, you can multiply $9400 by 0.06 (since 6% is the same as 0.06 as a decimal).
$9400 * 0.06 = $564
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Why is the midpoint formula used to calculate elasticity?
The midpoint formula is used to calculate elasticity because it overcomes the limitations of the traditional method.
The old point-slope method has significant drawbacks that are overcome by the midpoint formula, which determines the elasticity of demand. The elasticity of demand refers to how sensitively a good's quantity desired is to a price shift. Inelastic goods are those in which a little price shift causes a large change in quantity demanded, while elastic goods are those in which a small drop causes a small change in quantity demanded.
The conventional point-slope formula for elasticity employs the change in quantity and price at a particular point, which might be deceptive in some circumstances. Contrarily, the midpoint formula determines the elasticity of demand by averaging the quantity and price at the beginning and end and utilising the percentage change in both.
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What is the formula used for finding the equation of a line given two points?
Answer:
y=mx+c
Step-by-step explanation:
y=mx+c
In a right triangle, the side opposite angle x is 19 units and the hypotenuse is 26 units. What is the measure of angle
x to the nearest whole number?
A. 37 degrees
B. 27 degrees
C. 57 degrees
D. 4.6 degrees
Answer:
x=47 degrees
Step-by-step explanation:
We can use trigonometry to solve this problem.
the sine of the angle is equal to the side opposite the angle divided by the hypotenuse
so we have [tex]sin(x)=\frac{19}{26}[/tex]
now, in order to get x by itself, we have to take the inverse sine of both sides.
[tex]x=sin^{-1} (\frac{19}{26} )[/tex]
now we can plug this into a calculator.
we get 46.95 degrees
I think there is a typo in option D. because it says to find the nearest whole number but 4.6 is not a whole number.
Wrote an expression that is equivalent to 2.5 +(-5y)-2.5
Answer: -5y
Step-by-step explanation:
2.5+-5y-2.5
=-5y
or 0+-5y
PLEASE HELP ASAP!!!!!!!!!
Answer: x=-5
Step-by-step explanation:
first answer
Is 4 cm and 7 cm are the lengths of two sides of a triangle then the length of the third side may be?
If 4 cm and 7 cm are the lengths of two sides of a triangle then the length of the third side should be 6 cm.
In the given question we have to check 4 cm and 7 cm are the lengths of two sides of a triangle then the length of the third side may be.
Any two sides of a triangle can have a sum of lengths that is always greater than the length of the third side.
Any two triangle sides' length differences will never be greater than the triangle's third side's length.
The sum of 4cm and 7cm is 11cm, and their difference is 3cm.
The third side's possible length must be larger than 3 cm and less than 11 cm to ensure that the aforementioned rule is not broken.
6 cm is therefore larger than 3 cm and less than 11 cm from the possibilities presented.
The triangle's third side measures 6 cm in length.
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what is 3/5 divided by 9 equal?
Answer:
1/15
Step-by-step explanation:
Dividing a fraction by a whole number
3/5 ÷ 9
Copy dot flip
3/5 * 1/9
Rewriting
3/9 * 1/5
1/3 * 1/5
1/15
Answer:
1/15
Step-by-step explanation:
3/5 ÷ 9
3/5 × 1/9
1/5 × 1/3
1/15
How do you dilate a triangle with center points?
To dilate a triangle with center points we multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.
What is a scale factor?
A scale factor is a numerical value that is used to represent an object's larger or shrunk shape. It is a number that can be used to alter the size of any geometric figure or shape in relation to its initial size. It aids in altering the figure's size but not its shape.
Here,
we have to determine how we dilate a triangle with center points.
We concluded that
The origin is often used as the center of dilation. If you are dilating a figure centered at the origin, you can multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.
Hence, to dilate a triangle with center points we multiply the coordinates of the points in the preimage by the scale factor to determine the points in the image.
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for a given recipe, 16 cups of flour are mixed with 8 cups of sugar. How many cups of flour should be used if 12 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
Answer:
24 cups
Step-by-step explanation:
16/8 = 2
[tex]\frac{2}{1}[/tex] = [tex]\frac{x}{12}[/tex]
Since 1 x 12 = 12, then 2 x 12 = 24
helppppppppppp me nooow !!!!!!!!!!!!!!!!!! as fast please
Answer:
100
Step-by-step explanation:
week 7 = 110
week 8 = 100
week 9 = 90
week 10 = 110
........
Wyatt runs a farm stand that sells blueberries and raspberries. Each pound of blueberries sells for $1.50 and each pound of raspberries sells for $3. Wyatt sold 12 more pounds of blueberries than pounds of raspberries and made $72 altogether. Graphically solve a system of equations in order to determine the number of pounds of blueberries sold, x, and the number of pounds of raspberries sold, y
In linear equation, The number of pounds of apples is 12 and the number of pounds of raspberries is 20.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Given that, the cost of a pound of apples = $2.25 and the cost of a pound of raspberries = $1.50.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of pounds of apples be x, then the number of pounds of raspberries(y) be y=x+ 12
Now, the total cost of apples = The number of pounds of apples × The cost of a pound of apples
=x × 1.50
= 1.50x
The total cost of raspberries = The number of pounds of raspberries × The cost of a pound of raspberries
=(x+12) × 3
=3x+ 36
So, the total cost = The total cost of apples + The total cost of raspberries
⇒ 72 = 1.50x+ 3x+ 36
⇒ 72 = 4.5x + 36
4.5x = 72-36
x = 8
So, y= x+ 12 = 20
Therefore, the number of pounds of apples is 12 and the number of pounds of raspberries is 20.
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I realllyyy need helppp plssss helppp meee
Answer:
84 divided by 7 - 5x
Step-by-step explanation:
Analyze the diagram to answer the questions.
Another way to name AngleSAC would be Angle
.
A point on ray AS is
.
Line segment A R and Line segment A B create Angle
.
Angle CAS is another name for Angle SAC. It is necessary to come up with another name for Angle SAC.
What is line?A line is a one-dimensional straight shape with no thickness that extends endlessly in both directions. A line is made up of a series of points that stretch in opposite directions indefinitely. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
Given:
Given a ray diagram,
Ray RS is given and point A & T are on between R & S.
Another ray DC cuts the ray RS at point A.
The ray AS cuts the point A.
One more ray is AB ,there is no any point to cut.
<SAC, we can also write this angle in form < CAS.
So,
∠SAC = ∠CAS (same angle)
Angle SAC is also known as Angle CAS. Angle SAC requires a new name.
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Diagram is missing
What is the least common denominator of 3 4 and 5 6?
The least common denominator (LCD) of 3/4 and 5/6 is 12
How do you determine the common denominator?To discover the least common denominator, list the multiples of both denominators until you find the smallest multiple that both denominators share. Because 20 is the first shared multiple of 4 and 5, it must be the fractions’ least common denominator.
Step 1: Using the repeated division method, find the prime factors of the given integers. Step 2: Express the numbers in exponent form. Determine the product of just the prime components with the greatest power. Step 3: The LCM of the provided numbers is the product of these factors with the greatest powers.The least common denominator (LCD) of a group of fractions is the least common multiple (LCM) of their denominators.
In this case, the denominators of the fractions are 4 and 6. The least common multiple (LCM) of 4 and 6 is 12. Therefore, the least common denominator of 3/4 and 5/6 is 12.
You can also find the LCM by finding the prime factorization of the numbers, and then take the highest power of each prime factor and then multiply those.
[tex]4 = 2^2\\6 = 2*3[/tex]
The highest power of 2 and 3 are [tex]2^2[/tex] and 3 respectively, so LCM(4,6) = [tex]2^2 * 3 = 12[/tex]
So the LCD of 3/4 and 5/6 is 12.
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Complete question is: What is the least common denominator of 3/4 and 5/6?
What are the zeros of the function defined by the expression x^2 - 7x - 30 ? A. 3 and -10 B. 10 and -3 C. 15 and 2 D. 15 and -2
Answer:
C. 15 and 2
Step-by-step explanation:
Use technology to find points and then graph the function y=-2\log_2(x+3)+2,y=−2log 2 (x+3)+2, following the instructions below.
The graph of the given function is attached below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
The graph of the function y = -2log2(x+3) + 2 is a downward-sloping curve that approaches the x-axis as x approaches infinity.
The curve is defined only for positive values of x, as the logarithm is undefined for negative values.
As x increases, the logarithm term inside the parentheses becomes larger in magnitude, causing the value of y to decrease rapidly.
The curve approaches the x-axis but never touches it, as the logarithm term will never reach zero.
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What is the slope of the given line?
Help me
Please
Answer:
y = -2/3x
Step-by-step explanation:
Maine has a cold climate in the water. Which statement
The statement about the probability of temperatures falling below 32°F in Maine in January, that is true, is B. The probability is 100.
How to describe probability ?Probability is a measure between 0 and 100 % or 0 and 1 that measures the likelihood of something happening. Probabilities that are closer to 1 or 100 % are more likely than not to happen.
Maine has a cold climate in the winter and January is a winter month. This means that there is a hundred percent chance that in January, the temperatures will fall below the temperature of 32 ° F, is 100 %.
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Full question is:
Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32°F in Maine during the month of January is most likely true?
The probability cannot be determined before FebruaryThe probability is 100.The probability could be -1.The probability is closer to 1 than to 0.