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brilliants [131]

4 years ago

9

A total of 625 tickets were sold for a school play. They were either adult tickets or student tickets. There were 75 more studen

t tickets sold than adult tickets. How many adult tickets were sold

1 answer:

Vinvika [58]4 years ago

7 0

Answer:

that is the solution to the question

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What is the missing numerator?

Jet001 [13]

The answer is b)04 I did this on my test and got it correct

4 0

3 years ago

Read 2 more answers

Need help please its Calculus. Ill give the 5 stars as well.

algol13

Answer:

$\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations
Equality Properties

<u>Algebra I</u>

Functions
Function Notation
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

<u>Algebra II</u>

Natural logarithms ln and Euler's number e

<u>Calculus</u>

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Slope Fields

Separation of Variables

Solving Differentials

Integrals

Antiderivatives

Integration Constant C

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

U-Substitution

Logarithmic Integration: $\displaystyle \int {\frac{1}{u}} \, dx = ln|u| + C$

Step-by-step explanation:

*Note:

When solving differential equations in slope fields, disregard the integration constant C for variable y.

<u />

<u>Step 1: Define</u>

$\displaystyle \frac{dy}{dx} = x^2(y - 1)$

$\displaystyle f(0) = 3$

<u>Step 2: Rewrite</u>

<em>Separation of Variables. Get differential equation to a form where we can integrate both sides and rewrite Leibniz Notation.</em>

[Separation of Variables] Rewrite Leibniz Notation: $\displaystyle dy = x^2(y - 1) \ dx$
[Separation of Variables] Isolate <em>y</em>'s together: $\displaystyle \frac{1}{y - 1} \ dy = x^2 \ dx$

<u>Step 3: Find General Solution Pt. 1</u>

[Differential] Integrate both sides: $\displaystyle \int {\frac{1}{y - 1}} \, dy = \int {x^2} \, dx$
[dx Integral] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle \int {\frac{1}{y - 1}} \, dy = \frac{x^3}{3} + C$

<u>Step 4: Find General Solution Pt. 2</u>

<em>Identify variables for u-substitution for dy.</em>

Set: $\displaystyle u = y - 1$
Differentiate [Basic Power Rule]: $\displaystyle du = dy$

<u>Step 5: Find General Solution Pt. 3</u>

[dy Integral] U-Substitution: $\displaystyle \int {\frac{1}{u}} \, du = \frac{x^3}{3} + C$
[dy Integral] Integrate [Logarithmic Integration]: $\displaystyle ln|u| = \frac{x^3}{3} + C$
[Equality Property] e both sides: $\displaystyle e^\bigg{ln|u|} = e^\bigg{\frac{x^3}{3} + C}$
Simplify: $\displaystyle |u| = Ce^\bigg{\frac{x^3}{3}}$
Rewrite: $\displaystyle u = \pm Ce^\bigg{\frac{x^3}{3}}$
Back-Substitute: $\displaystyle y - 1 = \pm Ce^\bigg{\frac{x^3}{3}}$
[Equality Property] Isolate <em>y</em>: $\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1$

General Form: $\displaystyle y = \pm Ce^\bigg{\frac{x^3}{3}} + 1$

<u>Step 6: Find Particular Solution</u>

Substitute in function values [General Form]: $\displaystyle 3 = \pm Ce^\bigg{\frac{0^3}{3}} + 1$
Simplify: $\displaystyle 3 = \pm C + 1$
[Equality Property] Isolate <em>C</em>: $\displaystyle 2 = \pm C$
Rewrite: $\displaystyle C = 2$
Substitute in <em>C</em> [General Form]: $\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1$

∴ our particular solution is $\displaystyle y = 2e^\bigg{\frac{x^3}{3}} + 1$ .

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentials and Slope Fields

Book: College Calculus 10e

6 0

3 years ago

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s

lana66690 [7]

Angle (radians) = arc length / radius
angle (radians) = 6 inches / 27
angle = 2 / 9 radians = .22222 radians

Source:
http://www.1728.org/radians.htm

6 0

4 years ago

To multiply a negative number, you should multiply their absolute values and make the product negative?

Thepotemich [5.8K]

True. because a negative times a positive will equal out to a negative

3 0

3 years ago

Read 2 more answers

How do I get the answer to this

Crank

The answer to this question is 8.6 or c

5 0

3 years ago