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zheka24 [161]
3 years ago
8

A shirt company has 3 designs each of which can be made with short or long sleeves . There are 7 color patterns available. How m

any different types of shirts are available from this company
Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

There are 42 different types of shirt available for this company.

Step-by-step explanation:

Given:

Number of design Company has = 3

Number of color pattern available = 7

Types of shirt (short or long sleeves) = 2

We need to find the number of different types of shirts are available from this company.

Solution:

the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).

framing in equation form we get;

the number of different types of shirts 3\times7\times2 =42

Hence There are 42 different types of shirt available for this company.

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Find a power series representation for the function; find the interval of convergence. (Give your power series representation ce
Lera25 [3.4K]

Answer:

1/5.

Explanation:

Note that the sum of infinite geometric series is equally to: a/ (1 - r). Where a = first term and r is the common ratio.

Hence, if f(x) = 3/(1 - 5x) ^2. Therefore, taking the another derivative of f(x)` = 30/ (1 - 5x)^3.

Also, f(x)`` = 450/ ( 1 - 5 )^4 and f(x)``` = 9000( 1 - 5x)^5 and f(x)```` = 225000/( 1 - 5x)^6.

If we are to use the Taylor's series formula then;

F(0) + f'(0) + f"(0)/2! × x^2 + f'''(0)/3! × x^3.

[ NOTE: f(0) = 3, f''(0) = 30, f'''(0) = 9000, f''''(0) = 225000].

450/2! = 225, 9000/ 3! = 1500 and 225000/4! = 9375..

Which gives; 3 + 30x + 225x^2 + 1500x^3 + 9375x^4. The ratio test will then give us our answer as 1/5.

As stated above, alternatively we can make use of the sum of geometric series where |x| < 1/5

8 0
2 years ago
PLEASE HELP ITS DUE IN 7 MINUTES!​
Tju [1.3M]

Answer:

X\geq -5

Step-by-step explanation:

4x+6\geq 6x+10\\-6x           -6x\\4-6=-2\\-2x+6\geq 10\\     -6          -6\\\frac{-2x}{-2} \geq \frac{10}{-2} \\x\geq -5

Hope this helps

6 0
2 years ago
What value of x <br> in the solution set of 2(3x – 1) ≥ 4x – 6?
Brrunno [24]
First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
6x - 2 \geqslant 4x - 6

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6
And that will make the equation
- 4 \geqslant - 2x
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2
5 0
2 years ago
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If you bought a cookie for $0.80 and paid for it with a $5 bill how much change would you receive
valentina_108 [34]
You would get $4.20 back
6 0
2 years ago
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Plzzzz help !!!! 15 points
ArbitrLikvidat [17]

Answer:

1. 17,20

2. 40,80

Step-by-step explanation:

1. 5+3=8

8+3=11

11+3=14

14+3=17

17+3=20

pattern is +3

2. 2.5*2=5

5*2=10

10*2=20

20*2=40

40*2=80

pattern is *2

6 0
3 years ago
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