In an inverse variation, y = -5 when x = -6. Write an inverse variation equation that showsthe relationship between x and y.Write the equation using a decimal or an integer.
Answers
First we need to find the constant of variation
Let k be the conatant of variation
Since the variation is inverse, then;
y∝ 1/x
y=k/x
Substitute x=-6 and y=-5 in the above and solve for k
That is;
-5 = k/-6
cross multiply
k = 30
The equation is;
y = 30/x
Related Questions
Find (fog)(4).
f(x) = x + 1
g(x) = x²
Answers
\((f\circ g)(x)=f(g(x))\\\\f(x)=x+1\\g(x)=x^2\\\\(f\circ g)(x)=x^2+1\\\\(f\circ g)(4)=4^2+1=17\)
The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
Answers
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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PLEASE HELP ME ITS DUE ON SUNDAY NIGHT
Answers
Answer:
Each side will measure 15.5 cm.
What is the solution for the system of equations {9x+8y=3 and
6x−12y=−11?} Will give brainliest.
Answers
Answer:
x=-1/3, y=3/4
Step-by-step explanation:
Isolate x
x=3-8y/9
Substitute x
6*3-8y/9-12y=-11
Simplify -52y+6/3=-11
Isolate y=3/4
Substitute y=3/4
x=3-8*3/4/9=-1/3
x=-1/3 y=3/4
I'll give brainliest
Answers
The system of equations that shows the situation is option 1. L+J=29 L=2J-10
How to get the equationsThe question tells us that the summation of the age of Latifa and Jameel is 29
Let J = Jameel
L = Latifa
L + J = 29
The question says that Latifa's age is 2 time of Jameels age = 2J with 10 years subracted
L = 2J - 10
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the nominal interest rate is 29% compounded quarterly. compute the effective annual interest rate. express your answer as a percentage rounded to the nearest one-hundredth decimal place (for example, enter 15.47 for an answer of 15.4695236%).
Answers
From the given information provided, as the nominal interest rate is 29%, the effective annual interest rate is 35.84%.
To calculate the effective annual interest rate, we need to use the following formula:
Effective Annual Interest Rate = \((1 + (Nominal Interest Rate / m))^m\)
where m is number of compounding periods per year.
In this case, the nominal interest rate is 29%, compounded quarterly, so m = 4.
Plugging in the values, we get:
Effective Annual Interest Rate = (1 + (0.29 / 4))⁴ - 1
= 0.3584
To express this as a percentage rounded to the nearest one-hundredth decimal place, we multiply by 100 and round:
Effective Annual Interest Rate = 35.84%
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Simplify:
25x - 6X - 18x + 7
Answers
Answer:
x+7
Step-by-step explanation:
25x - 6x - 18x + 7
x + 7
Whoever answers this will get branlyest
Answers
Answer:
10.8 ft
Step-by-step explanation:
6 goes into 18 3 times that means you multiply 3.6 by 3 and yo get 10.8 ft.
let x be 3 and y be 4 and z is 5
x + y / xz
Answers
Answer:
7/15
Step-by-step explanation:
3 + 4 / 3 * 5
7 / 15
Answer:
[See Below]
Step-by-step explanation:
\(Hey~There!\)
_____________________
➜ First we have to turn to into a proper equation:
\(3+4\) ÷ \(3*5\)➜ Now we solve the two parts:
\(3+4=7\)\(3*5=15\)➜ Then we can divide:
\(7\) ÷ \(15=0.466666667...\)_____________________
So your answer would be:
Full equation: \(3+4\) ÷ \(3*5\)Simplified Equation: \(7\) ÷ \(15\)Simplified Answer: \(0.47\)_____________________
\(Hope~this~helps~Mate!\\-Your~Friendly~Answerer,~Shane\) ヅ
a) x2 when x = 5
b) y2 when y = -2
c) z2 when z = 0.5
Answers
Answer:
A) 25
B) 4
C) 0.25
Thank you and please rate me as brainliest as it will help me to level up
B) -2x2
C) 0.5x2
A Certain sum of money of simple
interest amount to $$1,300 ire 4 years
and to #11525 in 7 years - Find
the sum and the rate percent
Answers
The required rate of simple interest is 1.75%.
Here, we have,
(Principal + Interest) is a straightforward interest equation.
A = P(1 + rt)
Where: A is the sum of the accrued principal and interest.
Principal Amount is P.
I is the interest rate.
r is the annual percentage rate of interest, or R/100.
R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.
Since I = Prt,
the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,
which may be represented as A = P(1 + rt).
Given: Principal is $1,300
Rate is 7% and the amount earned that is A-P is $159.25.
A = P(1 + rt)
Therefore substituting the values in the above mentioned equation, we get:
159.25= 1300(1+r×7)
On solving we get,
r= 1.75%
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complete question:
At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.
What rate of simple interest is offered at the
Blue Bank?
You need gas for your car, and just as you are approaching where you normally get gas, the radio station announces that the CheapGas station four miles away is selling gas $0.37 per gallon cheaper.
Required:
Would you travel the four miles to CheapGas to save money? In addition to a definitive yes or no answer, provide the mathematical calculations you used in making the decision and then explain in a few sentences why you would travel to CheapGas or why you would not travel to Cheap Gas. There is not one correct answer, but the reasoning provided must be correct to support your decision.
Answers
Answer: Yes
Step-by-step explanation:
Given that:
Distance from present location to CheapGas = 4 miles
Price of gas at CheapGas is $0.37 cheaper
Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;
1) The number of gallons of gas to purchase
2) The cost of gas required to return to cheap gas.
If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.
Select all the ratios that are equivalent to the ratio 12:3
Answers
Answer: Select all the ratios that are equivalent to the ratio 12 : 3. Explain how you know.
A. 6:1
B. 1:4
C. 4:1
D. 24 : 6
E. 15:6
F. 1,200 : 300
G. 112: 13
So the answers are c, d, and f.
Step-by-step explanation:
Answer:
C, D, and F
Step-by-step explanation:
You have to find numbers that are equal to 12 and 3.
C - 4:1, that's both numbers divided by 3.
D - 24:6 both numbers have been doubled.
F - 1,200:300 both of the numbers are ×100.
Hope this helps :)
In a survey of 259 professional athletes, it was found that 110 of them owned a convertible, 91 of
them owned a giant screen TV, and 120 owned a sporting goods store. 15 owned a convertible and a
store, 43 owned a TV and a store, and 44 owned a covertible and a TV. 9 owned all three items.
1. How many athletes did not own any of the three items?
2. How many owned a covertible and a TV, but not a store?
3. How many athletes owned a convertible or a TV?
4. How many athletes owned exactly one type of item in the survey?
5. How many athletes owned at least one type of item in the survey?
6. How many owned a TV or a store, but not a convertible?
Answers
1. Number of athletes did not own any of the three items = 259 - 228
= 31.
2. Number of athletes own a convertible and a TV but not a store = 44 - 9
= 35.
3. Number of athletes own a convertible or a TV = 110 + 91 - 44
= 157.
4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
5. Number of athletes owned at least one type of item = 259 - 31
= 228
6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71
= 118.
The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.
Total number of athletes surveyed = 259
Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228
Number of athletes who did not own any of the three items = 259 - 228 = 31.
The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.
Number of athletes who own a convertible and a TV = 44
Number of athletes who own all three items = 9
Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35
The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.
Number of athletes who own a convertible or a TV = 110 + 91 - 44
= 157.
The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.
Number of athletes own a convertible only = 110 - 15 - 9 = 86
Number of athletes own a TV only = 91 - 44 - 9 = 38
Number of athletes own a store only = 120 - 15 - 43 - 9 = 53
Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.
The number of athletes who owned at least one type of item can use the result from part (1).
Number of athletes who owned at least one type of item = 259 - 31
= 228
The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.
Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159
Number of athletes own a TV or a store not a convertible = 13 + 34 +71
= 118.
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What is the range of the exponential function shown below?
f(x)=11•(1/3)^x
A. y<0
B. y>0
C. All real numbers except 11
D. All real numbers
Answers
The range of the exponential function is B. y > 0.
The range of the exponential function f(x) = 11 × (1/3)ˣ can be determined by analyzing the behavior of the function as x approaches positive and negative infinity.
As x approaches positive infinity, (1/3) becomes smaller and smaller, tending towards zero.
f(x) approaches 11 × 0, which is equal to 0.
As a result, the function approaches 0 as x goes to infinity.
On the other hand, as x approaches negative infinity, (1/3)ˣ becomes larger and larger.
Since 1/3 is between 0 and 1, raising it to a negative power causes it to grow exponentially.
f(x) approaches infinity as x goes to negative infinity.
Combining these two behaviors, we can conclude that the range of the function f(x) = 11 × (1/3)ˣ is all positive real numbers, excluding zero.
In other words, the range is y > 0.
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let one Yellow tile Equal+1 and one red tile equal -1 6-(-9)
Answers
Answer:
wym
Step-by-step explanation:
whats the question
Find the equivalent expression of 16^-2
Answers
Find the equivalent expression of
\(16^{-2}\)First, we take advantage of the fact that 16 is a perfect square:
\((4^2)^{-2}\)But 4 is also a perfect square:
\(((2^2)^2)^{-2}\)Now apply the power rule of exponents. We multiply all of them:
\(2^{-8}\)Now we apply the rule of negative exponents:
\(2^{-8}=\frac{1}{2^8}\)This is an equivalent expression, but if it's required to compute the result of the power, the final expression is:
\(\frac{1}{2^8}=\frac{1}{256}\)Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.
Answers
Answer:
A) You climbed 15 feet up a tree before coming back down 15 feet
Miguel is making trail mix. He uses 5 1/3 ounces of nuts and 2 3/4 ounces of raisins. Which
of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
HELP FAST
Answers
Find the measure of <2.
62 = [?]
![Find the measure of <2.62 = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qgC0e3cFKj8zb2tliVsqIzIM6jEkXYZW.png)
Answers
Answer:
63°
Step-by-step explanation:
They are corresponding angles.
When creating a histogram, the first recorded scale is 1 to 10. What should the second scale indicate?
A. 11-20
B. 10-20
C. 11-19
D. 10-19
please help asap
Answers
Answer: (B)10-20
Step-by-step explanation:
The graph of f(x)=x2 was transformed to create the graph of g(x)=−f(x−1)+2 Which is the graph of g ?
Answers
1. Shift the graph of f(x) to the right by 1 unit, which means replacing x with (x - 1) in the equation. This gives us: f(x - 1) = (x - 1)^2.
2. Reflect the graph of f(x - 1) about the x-axis by multiplying the expression by -1. This gives us: -f(x - 1) = -(x - 1)^2.
3. Shift the graph of -f(x - 1) up by 2 units. This gives us: g(x) = -f(x - 1) + 2 = -(x - 1)^2 + 2.
Therefore, the graph of g(x) is a downward-facing parabola that has been shifted 1 unit to the right and 2 units up from the graph of f(x) = x^2.
a school has 700 students. 36% if students use public transports. a). how many students use public transport? b). if the school has 250 male students, state the percentage if female students in the school.
Answers
a) There are 700 x 36/100 = 252 students who use public transport.
b) There are 700 - 250 = 450 female students in the school. The percentage of female students in the school is 450/700 x 100% = 64%.
1. Lee Johnson wants to join Planet Fitness. It cost $15 starting fee, and $11 per session. Lee has
paid $400. How many sessions can he attend?
Answers
What is the 20th term of the sequence: -4, -8, -12,
Answers
Answer:
-80
Step-by-step explanation:
Trust me
prove that square of an odd integer always have a remainder of 1 when divided by 8. formally, if n is odd, then n2
Answers
Let n be an odd integer. By definition, n must be an integer not divisible by 2. Hence, when n2 is divided by 8, the remainder must be 1.
Let n be an odd integer. First, we can express n as 2k+1, where k is an integer. Next, when we square n, we get (2k+1)2. Expanding this gives 4k2+4k+1. Dividing this by 8 gives 4k2+k as the quotient and 1 as the remainder. This proves that the square of an odd integer always have a remainder of 1 when divided by 8.
To summarize, when an odd integer n is squared, the remainder when the result is divided by 8 is always 1. This is because an odd integer is not divisible by 2, and so the quotient will not be a whole number when divided by 8.
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Two congruent triangles are cut from a rectangle. Find the area of the shaded region round to the nearest tenth if necessary 8in 8in 6in 6in pls use 3.14 or use the formula of area thank you very much
Answers
Answer:
umm
Step-by-step explanation:
plz help me this is 7th grade math
Answers
Answer:
second
Step-by-step explanation:
No because angles 1 and 2 are same side interior angles but are not supplementary
if the lines were parallel than the same side interior angles 1 and 2 add to 180
60 +115 = 175 so the lines are not parallel
A water cooler has a storage capacity of 50 litres . If each student on an average consumes 750ml of water. Then how many times cooler tank has to be filled to quench the thirst of 1200 student of school
Answers
The water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
We have
Number of students= 1200
Water consumption per student= 750 ml
So, Total water consumption
= Number of students × Water consumption per student
= 1200 × 750 ml
= 900000 ml
= 900 Liter
Now, the time cooler tank has to be filled to quench the thirst
= 900 / 50
= 18 times
Thus, the water cooler tank has to be filled 18 times to quench the thirst of 1200 students.
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Given f(x) = x ^ 2 + 3x and g(x) = 2x ^ 2 find (f g) (- 1) .
Type answer only in the box.
Answers
Answer:
-4
Step-by-step explanation:
You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².
ProductThe product of the functions is the product of their values for each value of x.
(f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)
(f·g)(-1) = -4
