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1 year ago

Find the missing value in the ratio table. 50 650 Enter answer below Enter your response 20 260 10 2 26

Mathematics

1 answer:

Sunny_sXe [5.5K]1 year ago

3 0

From the table, let the missing number be x then

260/20 = x/10

13 = x/10

x = 13 * 10

= 130

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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:

Pre-Algebra

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Calculus

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]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

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Step-by-step explanation:

*Note:

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

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

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

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

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

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[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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[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[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

64 ∙ 3^x + 14 = 1742

svlad2 [7]

Answer:

x=3

Step-by-step explanation:

First we should subtract 14 from both sides, getting 64 * 3^x = 1728. Then we can divide by 64 on both sides, leaving us with 3^x=27. x is equal to 3.

3 0

3 years ago

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Find the value of k

Readme [11.4K]

Answer:

Step-by-step explanation:

A straight line is equal to 180. The line AB is 180 degrees. This means 174 + angle = 180 for the angle between point D and B. It must be 6 degrees. This is the same angle as the angle between point A and C.

Line CD is also straight and equal to 180. On the line are the angles, 4k + 90 + 3k + 6 = 180. Solve for k by combining like terms and then using inverse oeprations.

4k + 90 + 3k + 6 = 180

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3 years ago

.I need some help ‍♂️

Gwar [14]

m<ACB = 65°

m<BCD and m<ACB are supplementary

Sum of supplementary angles = 180

m<BCD = 180 - 65

m<BCD = 115

Answer

A. 115

5 0

4 years ago

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7nadin3 [17]

Answer:

Sorry

Step-by-step explanation:

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3 years ago

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