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-BARSIC- [3]
3 years ago
7

Arie ran an equal number of miles each day for 12 days. He ran 60 miles in total.

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer: he ran 5 days

Step-by-step explanation: if he ran an equal amount and he ran 60 miles over 12 days the 60 divided by 12 is 5. Hope it helps!!

Nezavi [6.7K]3 years ago
7 0

Answer:

5 miles/day

Step-by-step explanation:

This is a division problem.

(60 miles)/(12 days) = 5 miles/day

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Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

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3 years ago
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Which of the following is the best term for the type of experiment described below?
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Double blind experiment
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Suppose that a teacher plans to give four students a quiz. The minimum possible score on the quiz is 0, and the maximum possible
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3 years ago
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
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  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
Based on the order of operations, which is the first step in simplifying this expression? 9 + 5 x 2(20/4 - 2 + 1)
Leto [7]

Answer:

  1. (Parentheses)                P.E.M.D.A.S  
  2. Exponents(^)
  3. Multiply(X)
  4. Division(/)
  5. Addition(+)
  6. Subtraction(-)

Step-by-step explanation:

First simplify (20/4-2+1)=

9+5x2(4)=

then simplify again

14x8=112

simplify one more time and you get your answer.

122 is your answer.

So to answer the real question start with parentheses first then work and simplify the equation.

<u><em>Please give brainliest if you found this answer to be helpful!</em></u>

4 0
2 years ago
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