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poizon [28]
3 years ago
12

The number of ducks swimming In a lake decreased by 1/4 between last year and this year. last year there were 60 ducks in the la

ke. What is the population this year? If you get stuck consider drawing a diagram.​
Mathematics
1 answer:
blagie [28]3 years ago
4 0

Answer:

Given: Population of ducks in lake, last year is 60.

Also, the population of ducks this year decreased by 1/4 th over the last year.

So, the population of ducks this year is = 60*(1-1/4)

                                                          = 60*(3/4)

                                                          = 45

Therefore, the population of ducks this year is 45 ducks.

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Firlakuza [10]

Answer:

= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

Step-by-step explanation:

Given the expression log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\

According to the law of logarithm;

loga + log b = log(ab) and log a - log b = log(a/b)

The given expression becomes;

log10\sqrt{36} + log10\sqrt{2}  - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )

6 0
3 years ago
(2A)<br> Find f(2x + 4) for f(x) = 1 - x2
Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

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>

Distributive Property

<u>Algebra I</u>

  • Terms/Coefficients
  • Expanding (FOIL)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 1 - x²

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function f(x)]:                                                                          f(2x + 4) = 1 - (2x + 4)²
  2. Expand [FOIL]:                                                                                                  f(2x + 4) = 1 - (4x² + 16x + 16)
  3. (Parenthesis) Distribute negative:                                                                   f(2x + 4) = 1 - 4x² - 16x - 16
  4. Combine like terms:                                                                                          f(2x + 4) = -4x² -16x - 15
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2 years ago
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unit rate: $7.45/2.5 lbs of steak

--------------------------------

reduced:

7.45 dollars /2.5 pounds

GCF=0.5

7.45/0.5=14.9$

2.5/0.5=5

unit rate:

$14.9/5 pounds

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3 years ago
A truck rental company rents a moving truck for one day by charging $29 plus 0.07 per mile.
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Y = .7x + 29

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3 years ago
Use the following information to answer Part A Part B
vekshin1

Answer:

can some one please answer it please

Step-by-step explanation:

8 0
3 years ago
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