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3 years ago

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Animals hair grows at a rate of 1 •10^-5 miles per hour.How many miles will animals Jaír grow after 500 hours?Express answer sci

entific notation

1 answer:

babunello [35]3 years ago

5 0

Answer:

0.005

Step-by-step explanation:

10^-5 =0.00001

0.00001x1= 0.00001

0.00001x 500=0.005 miles

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Bicyclist mike hall rode around the world in 91 days.what fraction is the simplest form represents the part of a year in weeks h

victus00 [196]

52 weeks
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3 years ago

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What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

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2 years ago

Free points !!!!!<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1%7D%20" id="TexFormula1" title=" \sqrt[3]{1} " a

Artist 52 [7]

Answer:

hello there

your answer is <u>1</u>

Step-by-step explanation:

hope it helps....

thanks for the free points!!!

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2 years ago

The dot plot below shows the hourly rate of some babysitters:

elena55 [62]

3 bhhhh maki cash men un r so if en jus kookie

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3 years ago

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When solving negative one over five (x − 25) = 7, what is the correct sequence of operations? (5 points) a Multiply each side by

german

Answer:

Hello!!

When solving $-\frac{1}{5} (x-25)=7$ , the correct sequence of operations would be...

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

When completing the order of operations use PEMDAS Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Hope this helps!!

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2 years ago