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AysviL [449]
3 years ago
14

Four different sets of objects contain 4, 5, 6, and 8 objects, respectively. How many unique combinations can be formed by picki

ng one object from each set?
Mathematics
2 answers:
ser-zykov [4K]3 years ago
8 0

You would multiply all of the numbers to get your answer so it would be 4*5*6*8 which would get you 960.

Charra [1.4K]3 years ago
4 0

Answer: 960

Step-by-step explanation:

Given: Four different sets of objects contain 4, 5, 6, and 8 objects, respectively.

The number of unique combinations formed by picking one object from each set is given by :-

\text{Total unique combinations}=4\times5\times6\times8\\\\\Rightarrow\text{Total unique combinations}=960

Hence, the number of unique combinations formed by picking one object from each set is 960.

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The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to h
Diano4ka-milaya [45]

Answer:

The total change in water level over the past 2 years is \displaystyle -4 \frac{1}{6}.

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

Fractions

  • Proper and Improper

Numbers

  • Least Common Multiple (LCM)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Year 1 water change:  \displaystyle -2 \frac{1}{3}

Year 2 water change:  \displaystyle -1 \frac{5}{6}

<u>Step 2: Find Total Water Change</u>

  1. [Set up] Add yearly water changes:                                                                \displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}
  2. [Fractions] Convert to improper:                                                                     \displaystyle \frac{-7}{3} - \frac{11}{6}
  3. [Fraction] Rewrite [LCM]:                                                                                  \displaystyle \frac{-14}{6} - \frac{11}{6}
  4. [Order of Operations] Subtract:                                                                       \displaystyle \frac{-25}{6}
  5. [Fraction] Convert to proper:                                                                           \displaystyle -4 \frac{1}{6}
5 0
2 years ago
What is the area of the shaded sector?
Salsk061 [2.6K]

Answer:

= 72*pi

If we approximate pi

           = 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360  =1/8

Multiply the area by 1/8  since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

         = 72*pi

If we approximate pi

           = 226.08

7 0
3 years ago
Read 2 more answers
1/9,1/3,5/9 find the rule
anastassius [24]
It’s going up by 2/9 . if you did it for the first one it’d b 3/9 which is 1/3
3 0
3 years ago
You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will i
allsm [11]

Since the interest is compounded, we will have to use the compound interest formula.

We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.

5000 will go in for P because that's the starting amount.

2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.

Since the interest is compounded quarterly, n = 4.

After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.

4 0
2 years ago
PLS HELP ME I ADDED SCREENSHOT i made sure to add it this time
iVinArrow [24]

Answer:

-(400/9)

Step-by-step explanation:

-44(4/9)

answer A

4 0
3 years ago
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