15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

A. y = 3x

B. y = [tex]\frac{10}{x}[/tex]

C. x = [tex]\frac{y}{3}[/tex]

D. y = [tex]\frac{x}{10}[/tex]

Answers

Answer 1

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

...................................................................................................................................................

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

y

1

x

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x


Related Questions

Arjun's family is traveling in a car at a constant speed of `65` miles per hour. How far do they travel in `25` minutes?

Answers

Answer:

can you say me which chapter question is this

Answer:

Step-by-step explanation:

1. it takes 3.1 hours

2.27.08 miles is how far they travel in 25 minutes

please give me a brainliest, i worked pretty hard to find these out, if you need a explanation, i will add it

Find each value. ORDER MATTERS!

a) P(12, 5) *read as 12 items being taken 5 at a time*

=?

b) P(8, 8)

=?
(HINT: Think 8 x 7 x 6 x 5....etc.)

Answers

Answer:

P(12, 5) = 95040

P(8,8) = 40320

Samuel drove 84 miles in 6 hours. How far can he drive in 6 hours?

Answers

Answer:

the answer is 84 being how you asked the question but I dont think thats what you meant to ask. if thars wrong just tell me and ill answer it the way you need it

Step-by-step explanation:

Answer:

84 miles

Step-by-step explanation:

In circle J with mZHLK = 21°, find the angle measure of minor arc HK .
K
H
L
Answer: m HK
Submit Answer
attempt 2 out of 2
PLZ HELP

Answers

Answer:

HK=42°

Step-by-step explanation:

because the arc of HK is two time bigger than HLK measurement

HLK=1/2HK

21°=1/2HK cross production

HK=2×21°

HK=42°

What is the simplest form for 20:36

Answers

Answer:

5:9

Step-by-step explanation:

20÷4=5

36÷4=9

If you divide 20 by 4 you get 5. If you divide 36 by 4 you get 9. You need to be able to divide each number in the ratio by the same number. In this case, that number is 4. You can tell that this ratio (5:9) is in simplest form because 5 is a prime number and cannot be simplified any more.

If you want to check this divide the ratio by 2 two times. Or just divide it by 4 once.

20÷2=10 → 10÷2=5

36÷2=18 → 18÷2=9

Hey can you help me fast!

Answers

Sure what’s your problem

Answer:

29 square feet?

Step-by-step explanation:

yk im like 99.9% sure this is right, but that other 1% is just doubting me. So all I did to solve this was add up teh sides to find the perimeter of the shape, or in this case, the hole in the ground.

my answer is wrong d o. n o t. put my answer down

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

Chris bought a card for 35¢. He
gave the clerk 6 coins. What coins
did he give the clerk?

Answers

5 nickels and one dime

Pls help, 45 points!!!

Answers

Answer:

C

Step-by-step explanation:

Answer:

Red is the correct answer

Step-by-step explanation:


Help pls and no links

Answers

Answer:

y > 4x - 2

Step-by-step explanation:

The basic format of a line in slope-intercept form is,

[tex]y=mx+b[/tex]

This format undergoes no change when one implements it for the use of a two-variable inequality.

The parameter (m) represents the slope of a line, this can be found by using the formula ([tex]\frac{rise}{run}[/tex]). Traditionally, one would use a formula to find the slope of a line that is the following, ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex]). However, in the given situation, one can simply count the number of boxes from one point with respect to the x-axis to another, and thus get (4).

The parameter (b) represents the point in which the graph intersects the y-axis, one can see that this point is (-2).

Since the line is dotted, one would only use the greater than symbol, not the greater than or equal-too-symbol.

Finally, since the area above the line is shaded, therefore one knows that it is (y) is greater than.

Find the area of this shape

Answers

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]

=[tex] \sqrt{51.84} [/tex]

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

ANSWER NEEDED URGENCY HIGH​

Answers

Answer:

6 or 6 1\3 but i really think it is 6

Step-by-step explanation:

If P = -4,3 and Q = 2,1 are the endpoints of the diameter of a circle, find the equation of the circle. Help pls :/ 30 points!!

Answers

Your answer is
(X+1)^2+(y+1)^2=13

Which statement identifies how to show that j(x) = 11.6ex and k(x) = In (StartFraction x Over 11.6 EndFraction) are inverse functions?

Answers

Answer:

The answer is "It must be shown that both [tex]j(k(x))\ and \ k(j(x))=x[/tex]"

Step-by-step explanation:

Given:

[tex]j(x) = 11.6 e^{x} \\\\k(x) =\ln\frac{x}{11.6}[/tex]

To show that both are equal functions, and  show that both[tex]j(k(x))\ and\ k(j(x)) =x,[/tex]

For [tex]j(k(x));[/tex]  

[tex]j(k(x)) = j[(\ln \frac{x}{11.6})]\\\\j[(\ln (\frac{x}{11.6})] = 11.6e^{\ln (\frac{x}{11.6})}\\\\j[(\ln \frac{x}{11.6})] = 11.6(\frac{x}{11.6})\\\\[/tex](The natural logarithm is canceled by exponential function)  

[tex]j[(\ln \frac{x}{11.6})] = 11.6 \times\frac{x}{11.6}\\\\j[(\ln \frac{x}{11.6})] = x\\\\j[k(x)] = x\\\\for\ \ k[j(x)]:\\\\k[j(x)] = k[11.6e^x]\\\\k[11.6e^x] = \ln (\frac{11.6e^x}{11.6})\\\\k[11.6e^x] = \ln(e^x)[/tex]

Its natural logarithm leaving x will nullify expanding universe.

[tex]k[11.6e^x] = x\\\\k[j(x)] = x[/tex]

In the question, it is seen that[tex]j[k(x)] = k[j(x)] = x[/tex], shows that the functions [tex]j(x) = 11.6 e^{x} \ and \ k(x) = \ln \frac{x}{11.6}[/tex] is inverse functions.

Answer:

C

Step-by-step explanation:

Ed2021

If n + n + 2 = 10, then n= ____.

Answers

Answer:

n = 4

Step-by-step explanation:

Combine like terms and solve.

n + n + 2 = 10

2n + 2 = 10

2n = 8

n = 4

Help me find y..........

Answers

Answer:

2nd

Step-by-step explanation:

x=10

y²=x²+10²=200

y=10√2

PLEASE HELP AND HURRY I NEED THIS NOW PLEASE

The path of a shot thrown during a shot put event can be modeled by the function
f(x)--0.025x2+x+5. In this function, x is the horizontal distance (in feet) from where the shot is
released and f(x) is the height (in feet) of the shot. What is the maximum height reached by the
shot?
A 5 ft
C 15 ft
B. 20 ft
D 35 Ft

Answers

The answer to you problem is going to be 15 ft because you have to find the maximum (vertex) y-value in the vertex

Select the correct answer from each drop-down menu.
The table shows the number of games a chess player won in professional competitions, based on the number of games played.

Games Played (x) 10 15 20 25 30
Games Won (y) 4 10 16 21 25
The line of best fit for the situation is
___.

If the chess player plays 40 games in the next competition, the expected number of games won would be approximately __.
???

Answers

Answer:

36 games won ...............

Answer:

y=1.06x-6

36

Step-by-step explanation:

Find the surface area of the figure below. Leave answer in terms of TT. Round to the nearest hundredth if necessary,
18 km
3247 km2
Ob
4227 km2
Ос
3447 km
Od
12967 km2

Answers

Answer:

Surface area of the figure = 1,296π km²

Step-by-step explanation:

Given figure is a sphere;

Given:

Radius of sphere = 18 km

Find:

Surface area of the figure

Computation:

Surface area of the figure = Surface area of sphere

Surface area of sphere = 4πr²

Surface area of the figure = 4πr²

Surface area of the figure = 4π(18)²

Surface area of the figure = 4π(324)

Surface area of the figure = 1,296π km²

NO FAKE ANSWERS PLEASE IM BEGGING YOU 40 POINTS!!!!!! PLEEASEEEE HELP!!!!!!!!!!!!!! I already solved half of it pls help on part 4 and down.
YOUR ASSIGNMENT: Desert Temperatures


In this assignment, you may work alone, with a partner, or in a small group. Discuss the results of your work and/or any lingering questions with your teacher.
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:



Sahara Desert
Patagonian Desert
Death Valley California(I choose this one)


Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t
C(t) = –0.30(t – 12)2 + 40
0

12
C(t) = -0.30 (12 - 12)² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40


24
C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2






2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)

Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104





4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t

0

12








24









5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .












6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)

7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)

Answers

Answer:

    Part 1

Given equation:

C(t) = -0.30 (t – 12)² + 40  

For t = 0

C(t) = -0.30 (0 - 12)² + 40

C(t) = -0.30 (-12)² + 40

C(t) = -3.2

For t = 12 (noon)

C(t) = -0.30 (12 - 12)² + 40

C(t) = -0.30 (0)² + 40

C(t) = 40

For t = 24 (midnight)

C(t) = -0.30 (24 - 12)² + 40

C(t) = -0.30 (12)² + 40

C(t) = -0.30 × 144 + 40

C(t) = - 43.2 + 40

C(t) = -3.2

Part 2

attached below

Part 3

C(t) = –0.30(t – 12)² + 40

F(t)=9/5C(t)+32

Substituting the values:

F(t)=9/5{–0.30 (t – 12)² + 40}+32

F(t) = -0.54 (t – 12)² + 72 + 32

F(t) = -0.54 (t – 12)² + 104

5, 6 and 7, should be simplish

good luck, i hope this helps :)

Step-by-step explanation:

Help plz need answers less than 10 minutes

Answers

Answer:

the answer wouldbe 8585434930.123

Step-by-step explanation:

What is the solution of /x+ 12 - X?
a). X=-3
b) x=4
c) x=-3 or x = 4
d) no solution

Answers

Answer:

???

Step-by-step explanation:

sorry can you format it?

You fill cone-shaped pastry bags with icing to a height to 1 foot and a diameter of 3.5 inches. You use about 1.35 cubic inches of icing per cupcake. About how many cupcakes can you decorate with 2 bags of icing?

Answers

Answer:

about 57

Step-by-step explanation:

ive been stuck on problem 20 for so long, help!!

Answers

I believe it’s letter i.

Can anyone help me with this math please I will give brainlist!! I used all my points for this question!!

Answers

9514 1404 393

Answer:

15.4567.0787040.7872.0

Step-by-step explanation:

Locate the digit to the right of the place you're rounding to. If that digit is 5 or more, add 1 to the digit in the place you're rounding to. Drop all digits to the right of the one you're rounding to, unless it is left of the decimal point. In that case, zero any digits between the one you rounded and the decimal point. (See problem 3 for an example of this.)

If you're rounding to the ones place (nearest whole number), and that digit ends up being 0, then put a decimal point after it to indicate it is a significant digit.

The second attachment shows the names of the number places, if you need a reminder.

2y - 6 = 2
What value of y makes the following true

Answers

Answer:

y = 4

Step-by-step explanation:

2y - 6 = 2

add 6 to each side of the equation:

2y = 8

divide both sides by 2:

y = 4

Divide. (x^3 – 2x – 3) ÷ (x + 3)

Answers

x

2

3

x

+

7

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

Factorise x^2-3x

plz help me

Answers

x^2 - 3x = x ( x - 3 )

ʜᴏᴘᴇ ʏᴏᴜ ɢᴇᴛ ᴡᴇʟʟ

That would be x(x-3) :)

State the x and y intercepts for the graph of - 2y - 5x = - 20 . Show the work plsss.

Answers

Answer: y
=
10

5
x
2
My work… try maťh way for any Algebra questions. I didn’t know if you’re searching for y or x , but I did Y. Good luck buddy
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