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Arlecino [84]
3 years ago
11

If the 30 girls who tried out for the lacrosse team at Euclid middle school ,12 were selected .of the 40. Boys who tried out 16

were selected are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls how do you know
Mathematics
1 answer:
liq [111]3 years ago
6 0
No I do not think that 12/60 and 16/40 are equivalent because onec you reduce both of the fractions it does not equal.
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Find the area of the region enclosed by the graphs of the functions
Vaselesa [24]

Answer:

\displaystyle A = \frac{8}{21}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Functions
  • Function Notation
  • Graphing
  • Solving systems of equations

<u>Calculus</u>

Area - Integrals

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

Integration Rule [Fundamental Theorem of Calculus 1]:                                      \displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)

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

Area of a Region Formula:                                                                                     \displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx

Step-by-step explanation:

*Note:

<em>Remember that for the Area of a Region, it is top function minus bottom function.</em>

<u />

<u>Step 1: Define</u>

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

<u>Step 2: Identify Bounds of Integration</u>

<em>Find where the functions intersect (x-values) to determine the bounds of integration.</em>

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

<u>Step 3: Find Area of Region</u>

<em>Integration</em>

  1. Substitute in variables [Area of a Region Formula]:                                     \displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx
  2. [Area] Rewrite [Integration Property - Subtraction]:                                     \displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx
  3. [Area] Integrate [Integration Rule - Reverse Power Rule]:                           \displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}
  4. [Area] Evaluate [Integration Rule - FTC 1]:                                                    \displaystyle A = \frac{2}{3} - \frac{2}{7}
  5. [Area] Subtract:                                                                                               \displaystyle A = \frac{8}{21}

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

Unit: Area Under the Curve - Area of a Region (Integration)  

Book: College Calculus 10e

6 0
3 years ago
Is this a function? please explain if possible...​
zlopas [31]

It is a function. Every x value is different.

3 0
2 years ago
Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are t
Maksim231197 [3]
I believe its A.6
42/7=6
Hope this helps☺
6 0
3 years ago
Explain how to add fractions with unlike denominators. Please be as specific as possible.
Gelneren [198K]

Answer:

Look below

Step-by-step explanation:

So I will use an example to try and show you how to do this.

If we have 1/2 + 1/3, we know that we don't have like denominators. We can change this by finding one. All we need to do is multiply our denominators. So in our example, that would be 2*3=6. Our new denominator would be 6. So now we would have 1/6 + 1/6 which isn't the same as our old equation. That is because we haven't multiplied our top numbers yet. To do this, we need to multiply the top number by the opposite denominator like so, 3/6+2/6.

So our first fraction was

1/2+1/3

We then multiplied the whole fraction by the opposite denominator

3/6+2/6

Thanks! Hope you choose me for brainliest!!! Have a nice day!

5 0
2 years ago
Find the slope of the line that passes through (10,4) and (7,9)
Mkey [24]

I will take you the steps to obtain the slopes passing two points

step 1 : list the parameters

\begin{gathered} \text{from (10, 4)} \\ x_1=10,y_1=\text{ 4} \\ \text{from (7,9)} \\ x_2_{}=7,y_2=\text{ 9} \end{gathered}

step 2: Apply the equation to obtain the slope between two points

\begin{gathered} \text{slope = }\frac{rise}{fall}=\frac{y_2-y_1}{x_2-x_1} \\  \\ \Rightarrow\frac{9\text{ - 4}}{7\text{ - 10}}\text{ =}\frac{5}{-3} \\  \\ slope=-\frac{5}{3} \end{gathered}

4 0
1 year ago
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