If the value of y varies inversely with x , which function represents the relationship between x and y if y = 48 when x = 3?
A. Y= 144/x
B. Y= 16/x
C. Y= x/16
D. Y= x/144
Answer:
A. Y = 144/x
Step-by-step explanation:
Inversely means y = 1/x
If y = 48, when x = 3
so 144/3 = 48
Therefore the answer is A
If the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
What is a function?A relation is a function if it has only One y-value for each x-value.
If y varies inversely with x, it means that y is inversely proportional to x, or y=k/x, where k is a constant of proportionality.
To find k, we can use the given values of y and x:
y = k/x
48 = k/3
k = 144
Now that we know k, we can write the function that represents the relationship between x and y:
y = 144/x
Therefore, if the value of y varies inversely with x then the function Y= 144/x represents the relationship between x and y if y = 48 when x = 3
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Mark ran for 15 minutes. How many seconds did Mark run? (1 minute = 60 seconds) seconds
Answer:
900
Step-by-step explanation:
Answer:
900 seconds
Step-by-step explanation:
Identify the center and radius of the circle with the following equation: [tex]x^2+y^2+4x+8y+11=0[/tex]
Hey there,
Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].
x² + y² + 4x + 8y = -11
(x² + 4x) + (y² + 8y) = -11
(x + 2)² + (y + 4)² = 9
If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.
(x - (-2))² + (y - (-4))² = 3²
Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.
Best of Luck!
Answer:
[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]
[tex] \text{redius} : 3[/tex]
Step-by-step explanation:
we are given a circle equation
[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]
we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by
[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]
general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:
[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]
where:
(h,k) is the centrer is the rediousnotice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious
indentifying centre and redious:
rearrange:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]
cancel 11 from both sides:
[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]
add 4 to the both sides so that the equality don't affect:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]
simplify addition:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]
once again to complete the square add 16 to both sides which yields:
[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]
complete the squares by using (a+b)²=a²+2ab+b² pattern:
[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]
we can still rewrite it to figure out the redious and the centre:
[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]
therefore we obtain:
centre:(h,k)=(-2,-4)redious:r=3and we are done!
Help plzzzz for points 30 points
Answer:
B is the correct answer I believe..
Step-by-step explanation:
Answer: I strongly believe it is B
Step-by-step explanation:
Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.
i need this done today whoever gets it correct gets brainliest!! PLZZZ HELPPP MEEE
Answer:
9x+6
Step-by-step explanation:
PLEASE HELP, URGENT!!!
John bought a crate of floor tiles $100. The crate had 5 boxes of floor tiles. Each box contained 40 floor tiles. Write an
equation to determine the cost per box, b.
More angles? More Spain- without the S. Anyway here we go!
Please help worth 100 points
Answer:
I hope you got an answer dude
Answer:
p/rn to the third root of 1^rnt
Step-by-step explanation:
I just this on my edmentum/ plato course so its right
7x(15+5) plz help me solve this question by formula BODMAS
The brackets are first, then the multiplication
PLEASE HELP 15 POINTS
Find m RS
S
(6x-28)
(4x+ 20)
Answer:
arc RS = 116°
Step-by-step explanation:
Since the 2 chords are congruent then their minor arcs are congruent, that is
SR = TU, substitute values
6x - 28 = 4x + 20 ( subtract 4x from both sides )
2x - 28 = 20 ( add 28 to both sides )
2x = 48 ( divide both sides by 2 )
x = 24
Then
arc RS = 6x - 28 = 6(24) - 28 = 144 - 28 = 116°
during the first part of a hike, Andre drank 1.5 liters of the water he brought. If this is 50% of the water he brought, how much water did he bring?
3 liters
6 liters
9 liters
12 liters
Answer:
50/100 x X = 1.5
x 100 x100
50x = 150
÷50 ÷50
X = 3
X = 3 liters I am pretty sure
You have a hemisphere with a volume of 6. What is the surface area with a sphere with the same diameter. Round to the nearest thousandth.
Answer:
(the volume of the hemisphere has no units, so i will suppose that it is 6m^3)
For a sphere of radius R, the volume is:
V = (4/3)*pi*R^3
Where pi = 3.14
And a hemisphere is half of a sphere, then the volume of a hemisphere of radius R is:
V = (1/2)*(4/3)*pi*R^3
We know that the volume of the hemisphere is 6 m^3, then we have the equation:
6 m^3 = (1/2)*(4/3)*3.14*R^3
Now we can solve this for R.
6 m^3 = 2.1*R^3
∛(6 m^3/2.1) = R = 1.41 m
The radius of the hemisphere is 1.41m
Now we want to find the surface of a sphere with this radius (if the radius is the same, then the diameter is the same)
For a sphere of radius R, the surface is:
S = 4*pi*R^2
Then the surface of this sphere is:
S = 4*3.14*(1.41 m)^2 = 24.971 m^2
A pet store employee measures the lengths of two pet snakes, Noodles and Squiggles. Noodles measures 30 inches long, and Squiggles measures 2 feet 10 inches long. Which snake is longer, and by how much?
Answer:
4
Squiggles
Step-by-step explanation:
steps
convert the length of squiggles from feet to inches find the difference1 feet = 12 inches
2 feet = 2 x 12 = 24 inches
length of squiggles = 24 + 10 = 34 inches
squiggles is longer because 34 is greater than 30
difference = 34 - 30 = 4
what is the value of x?
x² + 8² = 10²
x² + 64 = 100
x² = 100 - 64
x² = 36
x = 6
What is the constant rate of change between the two quantities
in the table? PLLSSS HELP PLSSSSSSS GIVING BRAINLIEST
Time (minutes) (x) 15 30 45 60
Number of Pages Read(y) 10 20 30 40
Answer: number of pages is going by 10. The number of minutes is multiplying 2 times.
Step-by-step explanation:
To find the COP use an in book resource or search it pretty simple
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?
Answer: y = 10x + 30 is the correct answer
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Tina bought a car for $5000. After owning the car for a year, it had a depreciation of 15%.
a) How much is the car worth now?
b) How much did the cardecrease in value?
Answer:
The car is worth $4250 now and it decreased by $750
Step-by-step explanation:
5000* .85 is 4250
Can someone help me please
Answer:
15
Step-by-step explanation:
Tuesdays interquartile range is 45, and monday's is 30. 45 - 30 = 15. Hope this helps!
If the radius of a circle is 10cm, what will be the area of the circle?
Answer:
314
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If the ratio of radii of two spheres is 4:7, find the ratio of their volumes.
Answer:
volume is equal to ratio
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
is 1 23/36 the same thing as 263/144 ? ill give brainiest :)
Answer:
no
Step-by-step explanation:
[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]
How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.
Answer:
C, you can use rotations to describe a change in the position of a figure.
what is a simulation
A: the probability of two or more events happening at once
B: a model of a real-world situation that can be used to find probabilities
C: a probability based on expected results
D: a probability based on actual results from an experiment
Answer:
b
Step-by-step explanation:
its a simulation of the real work or place etc
help me plz: An employer is paying an employee a salary of $35,500 a year. The employer promised to increase his/her salary by 2,750 per year. What will be the employee's salary by year 8?
Answer:
401(k) plan
Step-by-step explanation:
The employee earns $45/hour, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $130,050 during the present year. He has requested that his employer withhold 8% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
6 – [ - 2( - 3 – 5)] =
Answer:
-10
Step-by-step explanation:
Using PEMDAS start in the inside (-3-5) = -8 then -2(-8) = 16 then the final step
6 - 16 = -10
Answer:
-3 - 5= -8
-2 x -8= 16 (2 negatives make a positive when multiplied)
6-16= -10
g(x) = 4x + 3; Find g(10)
Answer:
43
Step-by-step explanation:
g(x)=4x+3
plug in 10
g(10)= 4(10)+3
= 40+3
= 43
Answer:
Sorry I just needed points
Step-by-step explanation:
please help with this vocab will mark brainliest
Answer:
1. Semicircle
2. Arc Length
3. Minor arc
4. Arc Measure
5. Circumference
6. Diameter
7. Radius
Complete the table of equivalent ratios.
3
5
10
9
20
25
Answer:
Step-by-step explanation:
The first is 2, the second is 6 and the third is 14.