Luna mixes 3/4 of orange juice with 3/8 cup of cranberry juice.she gives 5/8 cups of juice to mags. How much is left in Lunas glass?

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)

Answer:

(8,1)

Step-by-step explanation:

When flipping across the y axis, the y coordinate stays the same, while the x coordinate changes it's sign.

(x,y) - > (-x,y)

(-x,y) -> (x,y)

Answer:

[tex] \frac{15625}{4096} [/tex]

Answer:

0

Step-by-step explanation:

Slope of line

[tex] = \frac{ - 7 - ( - 7)}{ - 1 - ( - 6)} \\ \\ = \frac{ - 7 + 7}{ - 1 + 6} \\ \\ = \frac{0}{5} \\ \\ = 0[/tex]

Answer:

It is Undefined so its 0

Answer:

2

Step-by-step explanation:

Imagine you have 1 cookie, and then you have another cookie.

1 cookie and then another cookie is 2 cookies.

Step-by-step explanation:

N + 5 = -1

-16

N = - 1 + 5

16

N = -16 + 5

16

N = -11

16

N = -0.6875 = -0.7

Answer:

1 L of petrol is used to travel 9 km.

Step-by-step explanation:

You can find the answers through the ratio method

20 L : 180 km

1 L : x

( x is the number we must find )

20 x = 180

x =

x = 9 km

y=mx+b

y-y1=m(x-x1)

Ax+By= C

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°

Answer:

The area is 72.

Step-by-step explanation:

2 * 6 = 12

6 * 10 = 60

60 + 12 = 72

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

72 units squared

Step-by-step explanation:

6x2=12

10x6=6

60+12=72

Answer:

Change the minus sign to a plus. 2. ... 24. = 8. 11. 24. Find each quotient. 1. 1. 3. 1. 6. 2. 5. 8. 1. 16. 2. 1. 3 x. 6. 1 = 6 ... Write a variable expression to represent the word phrase.

The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

An expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

We have to given that;

The algebraic expression is,

''add 24 to the quotient of 16 and 8.''

Now, We can write the expression as;

Quotient of 16 and 8 is,

⇒ 16 ÷ 8

And, Add 24 to the quotient of 16 and 8.

⇒ (16 ÷ 8) + 24

Thus, The correct expression for the given condition is,

⇒ (16 ÷ 8) + 24

Learn more about the mathematical expression visit:

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Answer:

c. 67.5 cm^3

Step-by-step explanation:

V=whl

v=5*3*4.5

v=15*4.5

v=67.5 c^3

So C would be correct

Hope i helped, Brainliest would be appreciated!

Have a nice day!

 -Aadi x

Answer:

9/25x^2 -25

Step-by-step explanation:

Answer:

128.10

Step-by-step explanation:

(8 * 16.95) - 7.50

(135.6) - 7.50

128.10

Answer:

36-0.2d

Step-by-step explanation:

d refers to the number of days

This should work for your question if not I'm very sorry

The required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

The equation is the relationship between variables and constants represented as y = ax + b  is an example of a polynomial equation.

Here,
The water depth of a pond is initially 36 inches
The water depth of a pond decreases at a rate of 0.2 inches per day through evaporation.
Let the number of the days be x , and the depth left be y
According to the question,
Total depth in x days = 0.2x
Total remaining depth = 36 - 0.2x
or
y = 36 - 0.2x

Thus, the required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

Learn more about equations here:

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Answer:

Step-by-step explanation:

10x + 75 ≤ 300

10x ≤ 225

x ≤ 22.50 on decorations

Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

Answer:

fasdfjahlskfhkajshf

Step-by-step explanation:

jfdlhgkdfhgldfhg lsdfjhgsdhflhg klsfdhgjdsfhgkdfhgh

∑⊥⇆Ф↑↓∩¬║⊅α∨∧

(testing answer, sorry for that)

9514 1404 393

Answer:

  A) 448 mg

  B) 3.5 mg

Step-by-step explanation:

24 days is 24/4 = 6 half-lives. That is, the mass of 7 mg is 2^-6 times the initial mass.

A) The initial mass is 2^6×(7 mg) = 448 mg

__

B) 4 weeks is 28 days, or 7 half-lives. The remaining mass will be half the amount after 6 half-lives.

  (7 mg)/2 = 3.5 mg . . . . remaining after 4 weeks

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

Answer:

we have to prove it or solve it

The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

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Answer:

if y=x

than f(x)=x³

be

f(y)=y³

Answer:

y = x

f(x) = x³

f(y) = y³