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zhenek [66]
3 years ago
13

Jerrod’s family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which

is the best estimate of the number of hours the family drove?
Mathematics
2 answers:
a_sh-v [17]3 years ago
8 0

Answer:

The best estimate for the number of hours the family drove is 28.8 Hours.

Step-by-step explanation:

The distance Jarrod's family drove is 1778 miles and their average speed was 61.7 miles/hour, and we need the best estimate for the number of hours the family drove. For this we use the distance formula

D=vt

and use solve for t:

t=\frac{D}{v} =\frac{1778\:miles}{61.7\:miles/hr} = \boxed{28.8\:hours.}

Thus the best estimate for the hours driven is 28.8 hours.

<em>It is only an estimate because the speed given is the average speed.</em>

lorasvet [3.4K]3 years ago
7 0

Answer:

C. 30

Step-by-step explanation:

Estimate 28.8

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Y is between points p and b. pt= 15 and tb = 10. what is pb
Kruka [31]
PT = 15, and TB = 10 

Take the 15 from PT, and add the 10 from TB. Which equals 25. 

PB = 25 

So, 25 is your answer. 

Hope this helps! ☺
4 0
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
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<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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  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

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