While on a business trip to Hampton, Valentina treated her co-workers to a meal that cost
$393.16. Valentina knew that when the bill came, she would need to pay Hampton sales tax
of 6.25% and would want to leave an 18% tip on the original $393.16. Including tax and tip,
how much did Valentina's meal cost?

Answer: 75 / 5 = 15

Ways to write it:

75 ÷ 5 = 15

75 over 5 = 15

75⁄5 = 15

The magnitude of the volume of the balloon increases at a faster rate than

the radius of the balloon.

Reasons:

The rate at which the volume of the balloon is increasing, [tex]\dfrac{dV}{dt} = 15 \ cm^3/s[/tex]

The initial volume of the balloon, V = 30 cm³

The rate of change of the volume of the balloon with radius is given as follows;

[tex]\dfrac{\Delta V}{\Delta r}= \dfrac{V_2 - V_1}{r_2 - r_1}[/tex]

[tex]Volume \ of \ the \ balloon, \ V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

[tex]V = 30 + \dfrac{dV}{dt} \times t[/tex]

∴ V = 30 + 15·t

At t = 0, V = 30 cm³

Where;

[tex]r =\sqrt[3]{ \dfrac{3 \cdot V}{4 \cdot \pi} }[/tex]

When V = 30

The radius, r ≈ 1.93 cm.

At t = 10 s., we have;

V = 30 + 15 × 10 = 180

At t = 20 s., we have;

V = 30 + 15 × 20 = 330

Therefore;

Between 0 s. and 10 s., we have;

Rate of change of the volume of the balloon with respect to the radius of the balloon to the nearest centimeter, between 0 s and 10 s is 96 cm³/cm.

Between 10 s. and 20 s., we have;

Between 10 s. and 20 s. the rate of change is approximately 190 cm³/cm.

Therefore;

The rate of change of the volume of the balloon with respect to radius is not constant, but increases as the volume of the balloon increases.

Learn more here:

https://brainly.com/question/13489213

5x = 16

Step-by-step explanation:

¾ x - 2 = ⅖

¾ x = ⅖ + 2

¾ x = (2 + 10)/5

¾ x = 12/5 → (multiplied by 20)

20(¾)x = 20(12/5)

5(3)x = 4(12)

15x = 48 → (divided by 3)

5x = 16

Answer:

78%

Step-by-step explanation:

39/50 x2 → 78/100 so 78%

Answer:

31

Step-by-step explanation:

p = 8

p + 23

= 8 + 23

= 31

31 is the answer.

Answer:

-2

Step-by-step explanation:

27^m÷243^n can be written as

3^3 ÷ 3^5

the base are both 3, make it one 3

3^3-5

= 3^-2

=3^a is 3^-2 and a is -2

Answer:

The graph is linear and shaded below the line.

Step-by-step explanation:

It looks like the graph is linear, since the line is straight and continues on forever in both directions. It's not quadratic or absolute value, since quadratic graphs are curved and absolute value graphs branch off in two directions.

If you look at the Desmos graph attached, the shade is below the line, not above the line.

Finally, (0, 0) is not a solution since this point is not part of the shaded section of the graph.

Hopefully this helps! If you need further clarification, let me know!

Answer:

I think it's 76×99

Step-by-step explanation:

hope it helps

Answer:

the y intercept is -3

the x intercept is 6

looks like your 3rd answer listed.

Answer:

Assuming they don't use the budget for anything else, the greatest number of people they may invite and still stay within the budget is 107 people.

Answer:

The answer is B. when you do 30 / 3 you get 10

Answer:

SSS Postulate

Step-by-step explanation:

took the test and got it right! good luck! God bless you!

Answer:

Find the domain by finding where the expression is defined.

Interval Notation: [tex](-[/tex]∞[tex],[/tex] ∞[tex])[/tex]

Set-Builder Notation: {[tex]x|x[/tex] ∈  R}

The function declaration [tex]f(x)[/tex] varies according to [tex]x[/tex], but the input function [tex]ve + 9[/tex] only contains the variable [tex]v[/tex]. Assume

[tex]f(v)=ve+9[/tex]

[tex]f(v)=ve+9[/tex]

Answer:

x = 116°

Step-by-step explanation:

since l and m are parallel lines

by property

116° = x

Answer:

(9, 9) this is where they intersect at

Step-by-step explanation:

Step-by-step explanation:

Cassandra runs 3 miles.

Hope this helps! :D

Answer:

-5573.6

Step-by-step explanation:

Step-by-step explanation:

let the number be x

and according to question,

six + 2 times a number = 2x + 6

26 + 6 times a number = 6x + 26

→ 2x + 6 = 6x + 26

→ -6x + 2x = 26 - 6

→ -4x = 20

→ x = 20/4 = 5

→ x = 5

therefore, the number is 5.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

x=7

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

5x+10=25

you want x to be by itself

5x=15

so subtract 10 from both sides

then dived 5 from 15

x=3

Answer:

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

[tex]1 = - 3 \times 6 + c[/tex]

[tex]1 = - 18 + c[/tex]

[tex]1 + 18 = - 18 + 18 + c[/tex]

[tex]19 = c[/tex]

[tex]y = 6x + 19[/tex]

Answer:

8x³ - 3x² - 4x + 3

Step-by-step explanation:

first, eliminate the parenthesis. you can just drop the first set, but you have to distribute the negative through the second set.

9x³ - 4x + 2 - x³ - 3x² +1

then combine like terms (terms with the same exponent)

8x³ - 4x + 3 - 3x²

then put it in the correct order

8x³ - 3x² - 4x + 3

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

48 / 2 x 4

[48 can be simplified to 24 x 2 and 4 can be simplified to 2 x 2]

24 x 2 / 2 x 2 x 2

[24 can be simplified to 12 x 2]

12 x 2 x 2 / 2 x 2 x 2

[12 can be simplified to 6 x 2]

6 x 2 x 2 x 2 / 2 x 2 x 2

[6 can be simplified to 3 x 2]

3 x 2 x 2 x 2 x 2 / 2 x 2 x 2

Answer:

Yes

Step-by-step explanation:

4³ × 5³

(4 × 5)³

=20³

Both are equivalent

Hey there!

4^3 * 5^3 = ?

4^3

= 4 * 4 * 4

= 16 * 4

= [64]

5^3

= 5 * 5 * 5

= 25 * 5

= [125]

125 * 64

= [8,000]

20^3

= 20 * 20 * 20

= 400 * 20

= 8,000

8,000 = [8,000]

Therefore, this statement is TRUE so your answer is: [YES]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Explanation:

Identity:  sec2θ=1+tan2θ

sec2(π2−x)−1=1+tan2(π2−x)−1

=tan2(π2−x)

Identity: tan(π2−θ)=cotθ

=cot2x

Answer:

Step-by-step explanation:

-4(-6x - 3) = 12

24x + 12 =12

24x = 0

x = 0