Answer:
Indirect variation
Rule: [tex]y = \frac{18}{x}[/tex]
Step-by-step explanation:
Given
[tex]x \to 2,3,4,5[/tex]
[tex]y \to 9,6,4.5,3.6[/tex]
Required
Determine the type of variation
For direct variation, we have:
y increases, as x increases
In the above function, y decreases, as x increases
Hence, it is not a direct variation
Indirect variation.
In an indirect variation, y decreases, as x increases
And the equation is given as:
[tex]y = \frac{k}{x}[/tex]
Make k the subject
[tex]k =xy[/tex]
Where k is the constant of variation.
For:
[tex](x,y) = (2,9)[/tex]
[tex]k = 2 * 9 = 18[/tex]
For:
[tex](x,y) = (3,6)[/tex]
[tex]k = 3 * 6 = 18[/tex]
For every other values;
[tex]k = x * y = 18[/tex]
Hence, it is an indirect variation.
The rule is:
[tex]y = \frac{k}{x}[/tex]
Substitute 18 for k
[tex]y = \frac{18}{x}[/tex]
The diameter of a planet is about 10790 mi. The diameter of the planet's moon is about 33% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
3560.7
Step-by-step explanation:
Simplify the mathematical expression below.
Answer:
Step-by-step explanation:
This is a scale drawing of a flag. The scale factor of a drawing to the actual flag is represented by the ratio 1:18. What is the area, in
square inches, of the actual flag?
Answer:
648 sq. in.
Step-by-step explanation:
The ratio of the flag is 1:18 and the question asks for the area of the flag.
To find the actual flag size, you got to multiply the width by 18.
Then you must multiply the length by 18.
A= LxW
A=36 x 18
A= 648 sq. in.
Therefore, the area of the actual flag is 648 sq. in.
What is 2logs(5x°)+ logs(+6) written as a
single logarithm?
Given:
The expression is:
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
To find:
The single logarithm expression for the given expression.
Solution:
We have,
[tex]2\log_5(5x^3)+\dfrac{1}{3}\log_5(x^2+6)[/tex]
Using properties of the logarithm, we get
[tex]=\log_5(5x^3)^2+\log_5(x^2+6)^{\frac{1}{3}}[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]=\log_5(25x^6)+\log_5\sqrt[3]{x^2+6}[/tex]
[tex]=\log_5(25x^6)\sqrt[3]{x^2+6}[/tex] [tex][\because \log a+\log b=\log (ab)][/tex]
Therefore, the correct option is B.
Mhanifa please help this is my last one !
Answer:
9)
7.7/3.6 = 2.3/b b = 2.3*3.6/7.7b = 1.0810)
v/4.9 = 5.4/6.1v = 4.9*5.4/6.1v = 4.3411)
6.3/x = 2.56/9.3x = 6.3*9.3/2.56x = 22.8912)
3.4/x = 2.17/7.7x = 3.4*7.7/2.17x = 12.06How many 2-liter bottles of soda will you need to fill ten 500 milliliter containers?
Answer:
2.5 bottles
Step-by-step explanation:
10 * 500 ml = 5000 ml
5000 ml = 5 l
5/2 = 2.5
2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.
How many milliliters in 1 liter?A liter is a cubic meter unit of volume which is equal to 1000 cubic centimeters.
1 liter = 1000 milliliters
Ten 500 milliliter containers
10 × 500 ml = 5000 ml
5000 ml = 5 l
2-liter bottles of soda will you need
5/2 = 2.5bottles
Therefore, 2-liter bottles of soda will need 2.5 bottles to fill ten 500 milliliter containers.
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(−7,−1),(2,26),(x,14)
Find the value of x
Answer:
Im pretty sure it is 3. Tell me if I am wrong!!!
Step-by-step explanation:
I Hope This Helps :)
1. ¿Cuál de las siguientes opciones es verdadera respecto de las propiedades de las ondas? A) El período y la frecuencia son inversamente proporcionales. B) El período no se relaciona con la frecuencia. C) El periodo es el número de ciclos en un cierto tiempo d) El período y la frecuencia son directamente proporcionales.
Answer:
Step-by-step explanation:
The perimeter of a rectangle is 734 centimeters, and one of the dimensions is 116 centimeters. What is the length of the other dimension?
Answer:
251cm
Step-by-step explanation:
Find the area. Round to the nearest tenth.
Answer:
40m^2
Step-by-step explanation:
Hope it helps!!:)
3
Select the correct answer from each drop-down menu.
Sharon is assessing the popularity of a fashion magazine for her blog. The number of subscribers to the magazine for the years 2000 to 2004 are
given in the table.
Number of Years Since 2000 Number of Subscribers
0
25,000
1
20,000
2
16,000
3
12,800
4
10,240
The number of subscribers is decreasing
As the number of years since 2000 increases, the number of subscribers to the magazine will approach positive infinity
Reset
Next
Plz help
Answer:
decreasing and 0 i just had this question
Step-by-step explanation:
The number of subscribers is decreasing exponentially.
How to form two-way table?Suppose two dimensions are there, viz X and Y. Some values of X are there as X_1, X_2, ... , X_n and some values of Y are there as Y_1, Y_2, ... , Y_n
List them in title of the rows and left to the columns. There will be n \times k table of values will be formed(excluding titles and totals), such that:
Value(ith row, jth column) = Frequency for intersection of X_i and Y_j (assuming X values are going in rows, and Y values are listed in columns).
Then totals for rows, columns, and whole table are written on bottom and right margin of the final table.
For n = 2, and k = 2, the table would look like:
[tex]\begin{array}{cccc}&Y_1&Y_2&\rm Total\\X_1&n(X_1 \cap Y_1)&n(X_1\cap Y_2)&n(X_1)\\X_2&n(X_2 \cap Y_1)&n(X_2 \cap Y_2)&n(X_2)\\\rm Total & n(Y_1) & n(Y_2) & S \end{array}[/tex]
where S denotes total of totals, also called total frequency.
n is showing the frequency of the bracketed quantity, and intersection sign in between is showing occurrence of both the categories together.
We are given that;
The table
Now,
the number of subscribers to the magazine is decreasing exponentially because it is decreasing by a fixed percentage each year. The base of the exponential function is less than 1, which means that the function is decreasing. The inverse of an exponential function is a logarithmic function, which has the form f(x) = log_a(x), where a is the base of the exponential function. To find the inverse of an exponential function, you need to swap the x and y variables and solve for y using logarithms. For example, if f(x) = 2^x, then f^-1(x) = log_2(x).
Therefore, by the table the answer will be exponentially
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Which quadratic expression is in vertex form?
How much of a radioactive kind of niobium will be left after 105 days if you start with 3,920 grams and the half-life is 35 days?
Answer:
"490 grams" would be the correct solution.
Step-by-step explanation:
The given values are:
Half time,
T = 35 days
Total time,
t = 105 days
As we know,
⇒ [tex]A=A_o(\frac{1}{2} )^{\frac{t}{T} }[/tex]
On substituting the values, we get
⇒ [tex]=3920\times (\frac{1}{2})^{\frac{105}{35} }[/tex]
⇒ [tex]=3920\times (0.5)^3[/tex]
⇒ [tex]=3920\times 0.125[/tex]
⇒ [tex]=490 \ grams[/tex]
The volume of this cylinder is 16,328 cubic millimeters. What is the height?
Answer: 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
r = 20 mm
Volume = 16328
h = ?
Formula
V = pi * r^2 * h
Solution
16328 = 3.14 * 20^2 * h
16328 = 3.14 * 400 * h
h = 16328/(3.14 * 400)
h = 16328 / 1256
h = 13
Is a Ration just another word for ratio?
https://socratic.org/questions/what-is-the-difference-between-ratios-and-rates#:~:text=Both%20rates%20and%20ratios%20are%20a%20comparison%20of%20two%20numbers.&text=The%20difference%20is%20that%20a,10%20boys%20and%205%20girls.
need to find out this answer
Answer:
24.997
Step-by-step explanation:
Let's start with the easy parts of the perimeter...the flat parts...7 + 7 = 14. We'll add that to the arch shortly.
We need to find the circumference of the whole circle, then divide by 4 to get 1/4 of a circle. (There might be a faster way, but this gets the job done.)
circumference = (2)(pi)(r)
= 2(3.142)(7) = 43.988
Now divide that by 4 for the distance of the arch.
43.988/4 = 10.997
Add that to the flat parts
10.997 + 14 = 24.997
Please let me know if you have any questions.
A line passes through the point (3,3) and is parallel to the line given by the equation Y=-2/3x - 2
What is the equation of the line?
A. Y=3/2x
B. Y=-2/3x+5
C. Y=2/3x-5
D. Y=-3/2x+1
Answer:
B. [tex]y=-\frac{2}{3}x+5[/tex]
Step-by-step explanation:
Equation of a line: y=mx+b (Where m is the slope and b is the y- intercept)
Parallel lines have the same slope.
So that means that the line will have the slope [tex]-\frac{2}{3}[/tex].
So we can write the equation of the line as y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y by doing:
[tex]y=-\frac{2}{3} x+b\\3=-\frac{2}{3} (3)+b\\3=-2+b\\b=5[/tex]
Now we know the y intercept (b) we can write the equation of the line.
[tex]y=-\frac{2}{3}x+5[/tex]
The equation of the line would be equal to y= -2/3x + 5
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
The Equation of a line: y=mx+b
Where m is the slope and b is the y- intercept
Since Parallel lines have the same slope.
So we can write the equation of the line as;
y= -2/3x+b
Since it goes through the point (3,3) we can plug in 3 for x and y
y= -2/3x+b
3 = -2 + b
b = 5
Now we know the y intercept (b) we can write the equation of the line.
y= -2/3x + 5
Learn more about equations here;
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which group has a larger median number of bones discovered?
Answer:
Group A has a larger median
Step-by-step explanation:
Group A : 0,1,2,3,3,3,4,4,5,5,7,7,8,9,9
Group B : 0,1,1,1,1,2,2,2,3,3,3,5,,6,6,7,8,8,9,9,9
You cross the first number out then you cross the last number. You continue that pattern until you have one or two digits left. If you have two digits left, you add them then divide by two. That the median. But, if you only have one digit, that number is the median.
Solve 2in,3in,and 5in MOOOAAAAN
I BEEP BEEP WANT MORE MOOOOAN
Answer:
yo mama
Step-by-step explanation:
Answer:
Wat
Step-by-step explanation:
y o u n e e d a s t e p s I s t e r
Unit 7: Polygons & Quadrilaterals
Nomework 4: Rhombi and Squares
Answer:
Hey mate, here is your answer. Hope it helps you.
Step-by-step explanation:
6x-21 —->
x=21+6
=27
Answer:
x=11°
Step-by-step explanation:
PSRQ is square ⇒ ∠PQR=90°⇒ ∠PQS=45° ⇒ 6x-21=45 ⇒6x=66 ⇒x=11°
A coin is flipped 1000 times in a row. What is the probability that on the 999th flip, the coin will land on tails?
Answer:
50% chance
Step-by-step explanation:
write 0.001574 in scientific notation
Answer: 1.574 × 10-3
Step-by-step explanation:
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10-3
Answer:
0.001574 in scientific notation is 1.574 × 10^-3
Step-by-step explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.001574 into scientific notation, follow these steps:
Move the decimal 3 times to right in the number so that the resulting number, m = 1.574, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -3
Write in the scientific notation form, m × 10n
= 1.574 × 10^-3
Therefore, the decimal number 0.001574 written in scientific notation is 1.574 × 10^-3 and it has 4 significant figures.
Hope this helped!!!
CAN SOMONE PLZ HELP ME ON THS
Answer:
Step-by-step explanation:
Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). Represent this situation mathematically in two inequalities. Let `x` represent the number of hours Lin works in a week. Inequality 1:
Answer:
Kindly check explanation
Step-by-step explanation:
x = number of hours Lin works in a week
Inequality (1) : Least Numbe rod hours worked
x ≥ 5 - - - (1)
Possible earning including transportation allowance :
8.25x + 10 ≥ 175 - - - (2)
Solving for X from (2)
8.25x ≥ 175 - 10
8.25x ≥ 165
x ≥ 20 hours
To earn upto 175 per week, then he has to work for 20 hours
does this function equal 4 on the interval [4, 5]?
[tex] \frac{10 \cos(xπ) }{x-2} [/tex]
=- No way
Step-by-step explanation:
The San Francisco half-marathon is a 13.6-mile race that travels up and down the hills of San Francisco. One street, Folsom Street, has a slope that can be represented by the function 2y=4x+7. Another street, Divisadero Street, has a slope that can be represented by the function 5y = 2x +9.
Which of these hills would you rather run-up? Why? Use evidence to support your answer.
Answer:
Step-by-step explanation:
Ok, from what I just reviewed, once you get the equation into the form of y = mx + b, the m is the slope of a line.
So take the first street, Folsom
2y = 4x + 7
y = 2x + 7/2
the slope is 2.
The second street, Divisadero
5y = 2x + 9
y = 2/5x + 9/5
the slope is 2/5.
So whether we're talking about 2/5 of an inch, 2/5 of a foot, or 2/5 of a mile, 2/5 is less than 2, so I would rather go up the less steep road...Divisadero.
Find the value of x that makes the equation true.
2[x + (2 1/2 + 2x )] = -3 (x - 1 ) + 9
Answer:
x = 7/9 or 0.78 as a decimal
Step-by-step explanation:
have a nice day!! :)
Lauren studies for 3 \frac{1}{3} 3 1 hours. She took a break every \frac{2}{3 } 3 2 hour. HOW MANY breaks did she take?
Answer: 5 times
Step-by-step explanation:
Your question isn't well written but let me rewrite it based on what I believe that you wrote.
Lauren studies for 3 1/3 hours. She took a break every 2/3 hour. How many breaks did she take?
To solve the question, we have to divide the number if hours used in studying by the interval used in taking a break. This will be:
= 3 1/3 ÷ 2/3
= 10/3 / 2/3
= 10/3 × 3/2
= 5
She took a break 5 times
In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49
B
2.26+0.490.49
C
2.26−0.492.26
D
2.26+0.492.26
which one
Answer: its C
Step-by-step explanation:
HOPE THIS HELPS
Why isn't a vertical line a function? What test rules it out?
Answer: If you draw any vertical line and it intersects more than one point on the relationship, it isn’t a function. The test is called the vertical line test. Hope this helps.
Step-by-step explanation: