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2 years ago

Which is greater 4/5 or 5/8

Mathematics

2 answers:

larisa [96]2 years ago

8 0

Make them have a common denominator. 4/5 becomes 32/40 and 5/8 becomes 25/40.

4/5 is greater.

Ivan2 years ago

7 0

I Belive It's 4/5 Because My Teacher Taught Me That " The Smaller Denominator The Bigger " And With The Denominator Being 5 And 8 The Five Will Be Greater Because " The Smaller The Number The Greater The Greater The Shape .

Hopes This Helps :)

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Help evaluating the indefinite integral

Dafna11 [192]

Answer:

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

General Formulas and Concepts:
Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]:
$\displaystyle (cu)' = cu'$

Derivative Property [Addition/Subtraction]:
$\displaystyle (u + v)' = u' + v'$
Derivative Rule [Basic Power Rule]:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

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

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

Integration Methods: U-Substitution and U-Solve

Step-by-step explanation:

Step 1: Define

Identify given.

$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx$

Step 2: Integrate Pt. 1

Identify variables for u-substitution/u-solve.

Set u:
$\displaystyle u = 4 - x^2$
[u] Differentiate [Derivative Rules and Properties]:
$\displaystyle du = -2x \ dx$
[du] Rewrite [U-Solve]:
$\displaystyle dx = \frac{-1}{2x} \ du$

Step 3: Integrate Pt. 2

[Integral] Apply U-Solve:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-x}{2x\sqrt{u}}} \, du$
[Integrand] Simplify:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \int {\frac{-1}{2\sqrt{u}}} \, du$
[Integral] Rewrite [Integration Property - Multiplied Constant]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \frac{-1}{2} \int {\frac{1}{\sqrt{u}}} \, du$
[Integral] Apply Integration Rule [Reverse Power Rule]:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = -\sqrt{u} + C$
[u] Back-substitute:
$\displaystyle \int {\frac{x}{\sqrt{4 - x^2}}} \, dx = \boxed{ -\sqrt{4 - x^2} + C }$

∴ we have used u-solve (u-substitution) to find the indefinite integral.

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Learn more about integration: brainly.com/question/27746495

Learn more about Calculus: brainly.com/question/27746485

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

Unit: Integration

5 0

1 year ago

Please help i'm stuck :,)

Ksju [112]

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

5 0

3 years ago

Read 2 more answers

Given f (x) = -4x + 4, solve for x when f (x) = 0

Kazeer [188]

Answer:

x = 1

Step-by-step explanation:

Given:

f(x) = -4x + 4
f(x) = 0

We are asked to solve for x when the function is equal to zero.

We should have: 0 = -4x + 4

Solve

1. Subtract 4 from both sides

0 - 4 = -4x + 4 - 4

-4 = -4x

2. Divide both sides by -4

-4 ÷ -4 = -4x ÷ 4

1 = x

6 0

1 year ago

Find the sum of the odd integers between 24 and 50

morpeh [17]

Answer:

481

Step-by-step explanation:

There are several ways you can get there.

1. There are only 13 numbers, so you can write them down and add them up.

25 + 27 + 29 + ... + 47 + 49 = 481

2. You can use the formula for the sum of an arithmetic sequence. This one has a starting value of 25, an ending value of 49, and 13 terms.

Sum = ((start) + (end))/2 × (number of terms) = (25 +49)/2×13 = 481

3. You can use a formula for the terms of the series and evaluate the sum.

an = 25 +2(n -1) = 2n +23

$\sum\limits_{n=1}^{13}{(2n+23)}=2\sum\limits_{n=1}^{13}(n)+\sum\limits_{n=1}^{13}{(23)}=2\dfrac{13\cdot 14}{2}+13\cdot 23=481$

4 0

2 years ago

3. What are the intersection points of the line whose equation is y=3x +3 and the

Gre4nikov [31]

Answer:

(-2 , -3) and (0.6 , 4.8)

Step-by-step explanation:

y=3x +3

(x - 2)² + y² = 25

(x - 2)² + (3x +3)² = 25

x²-4x+4+9x²+18x+9-25=0

10x²+14x-12=0

5x²+7x-6=0

(x+2)(5x-3)=0

x = -2 or x = 3/5 (-0.6)

y = -3 or y = 4 4/5 (4.8)

8 0

2 years ago