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3 years ago

10. What is the value of x in this equation?

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

$- 8\frac{ 1}{ 2}$

Step-by-step explanation:

$- 4x + 8 = 42 \\ - 4x = 42 - 8 \\ - 4x = 34 \\ x = \frac{ 34}{ - 4} \\ x = - \frac{ 17}{ 2} \\ x = - 8\frac{ 1}{ 2} \: or \: x = - 8.5$

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X=-3y-5 3x+9y=7 how can u solve this?

pentagon [3]

Answer:

Step-by-step explanation:

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3 years ago

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Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

Algebra I

Factoring

Calculus

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

Step 1: Define

$\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$

Step 2: Integrate Pt. 1

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

Step 3: Identify Variables

Set up u-substitution for the arctan trig integration.

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

Step 4: Integrate Pt. 2

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

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3 years ago

Can y’all please help!

Virty [35]

Answer:

is it multiple choice answers ?

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3 years ago

Can someone please answer this for me I'm begging

GrogVix [38]

If the length of JK is 16.4 miles, it will be diameter of this circle, the radius will be JK/2 = 8.2 miles

As we know the length of circle is 2π*r in this case r = 8.2

The arc JM is 1/4 length of the whole circle so arc JM = (2π*8.2)*(1/4) = 2π*8.2/4 = π*8.2/2 = π*4.1

if we assume that π=3.14 the answer will be 3.14 * 4.1 = 12.874.... And as the answer needs to be rounded to the nearest tenth it will be 12.874≈12.9

So the answer will be 12.9

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4 years ago

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use

Firlakuza [10]

Given:
2 rectangular prism.
same height
square bases

Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft

Solving for the space inside each rectangular prism, we need to find its volume.

Volume of a rectangular prism = length * width * height

Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet

Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet

Box A - Box B = difference in space

16 cubic feet - 2.25 cubic feet = 13.75 cubic feet

Box A contains 13.75 cubic feet more space than Box B.

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3 years ago

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