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Mama L [17]
1 year ago
6

Suppose we have a bottomless bag of 3 different kinds of balls: blue, green, and red. How many possibilities are there to choose

3 balls and arrange them in a line.
Mathematics
1 answer:
sleet_krkn [62]1 year ago
6 0

The number of possibilities that are there to choose 3 balls is 6.

<h3>How to illustrate the information?</h3>

From the information, we have a bottomless bag of 3 different kinds of balls: blue, green, and red.

The number of possibilities that are there to choose 3 balls will be:

= 3!

= 3 × 2 × 1

= 6 possibilities.

Therefore, the number of possibilities that are there to choose 3 balls is 6.

Learn more about permutations on:

brainly.com/question/4658834

#SPJ1

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Find two complex numbers that have a sum of i10 a different of -4and a product of -29​
lianna [129]
<h2>-2+5i and 2+5i</h2>

Step-by-step explanation:

   Let the complex numbers be a+ib\textrm{ and }c+id.

Given, sum is 10i, difference is -4 and product is -29.

(a+c)+i(b+d)=10i ⇒ a+c=0,b+d=10

(a-c)+i(b-d)=-4 ⇒ a-c=-4,b-d=0

a=-2,c=2,b=5,d=5

(a+ib)(c+id)=(-2+5i)(2+5i)=-4-25=-29

Hence, all three equations are consistent yielding the complex numbers -2+5i\textrm{ and }2+5i.

8 0
3 years ago
Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your
lilavasa [31]

We have the equation:

y=a\cdot b^x

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}

Now, we use the point (2, 108/25) to calcualte b:

\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}

Then, we can write the equation as:

y=3\cdot(\frac{6}{5})^x

5 0
11 months ago
28 &lt; 4v <br> solve for v <br> pls help
DedPeter [7]

Answer:

v = 7

Step-by-step explanation:

Divide both sides by 4 to isolate v

28/4 = 4v/4

v = 7

5 0
2 years ago
solve, showing all work. state if there is one solution, no solution, or infinite solutions 2(2b-4)+5=7+2b help asap i need the
WINSTONCH [101]

Answer:

one solution

Step-by-step explanation:

2(2b-4)+5=7+2b

4b - 8 + 5 = 7 + 2b

4b -3 = 7 + 2b

4b - 2b = 7 + 3

2b = 10

b = 10/2

b = 5.

it can have only 5 as solution that will be only one solution if we change the value of 5 to other number then the answer will be wrong

4 0
2 years ago
Which numbers have a digit in the ones place that is 1/10 of the value of the digit in the tens place 9077 9884 1303 1055 3222
ANTONII [103]

The numbers that have a digit in the ones place that is 1/10 of the value in the tens place are 1,055 and 3,222.

<h3>What digits are in the ones place?</h3>

The ones place refers to the position immediately before the decimal.

The digit in the tens place is the number immediately left of the ones place.

The numbers that have ones digits that are 1/10 of the digits in the tens place that are 1,055 and 3,222.

That is because 5 is 1/10 of the tens value of 50 and 2 is 1/10 of the 20 in the tens place.

Find out more on the positions of digits at brainly.com/question/579274

#SPJ1

4 0
1 year ago
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