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Daniel [21]
3 years ago
14

What are the total amount of choices possible if an individual is to create a 4 digit password using the digits 0 through 9 incl

usive
Mathematics
1 answer:
Serga [27]3 years ago
7 0

Answer:

10000 options

Step-by-step explanation:

There are 10 options of digit from 0 to 9. It means there are 10 options for the first slot, 10 for the 2nd slot, 10 for the 3rd slot, and 10 for the last slot of each of the 4 slots of the password. For all 4 passwords the total amount of choices would be

10 * 10 * 10 * 10 = 10^4 = 10000 options ranging from 0000 to 9999

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A bag of potatoes weights 30 lb. If 74% of a potato is water, how many pounds of water are there in the bag?
Nadya [2.5K]

Answer: There are 22.2 pounds of water in the bag.

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the total weight of the bag by the water percentage in decimal form (divided by 100).

Mathematically speaking:

30 x (74/100) = 30 x 0.74 =22.2 pounds

There are 22.2 pounds of water in the bag.

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
Solve the quadratic function using square root X+10x+25 =18
lawyer [7]

Answer:

= − 7 /1 1  in fraction form

Step-by-step explanation:

STEP 1: Multiply by 1

1 + 1 0 + 2 5 = 1 8

+ 1 0 + 2 5 = 1 8                                                                                                                               STEP 2: Combine like terms

+ 1 0 + 2 5 = 1 8

1 1 + 2 5 = 1 8                                                                                                                       STEP 3: Subtract  2 5   from both sides of the equation

11x+25=18

1 1 + 2 5 − 2 5 = 1 8 − 2 5

STEP 4: Simplify  by subtracting the numbers

1 1 + 2 5 − 2 5 = 1 8 − 2 5

11x+25−25=18−25                                                                                                   1 1 = 1 8 − 2 5                                                                                                                                   1 1 =  -7

STEP 5: Divide both sides of the equation by the same term                                                     1 1 = − 7                                                                                                                         11x/ 11x = −7/ 1 1 (set up as a fraction)                                                                       STEP 6: Cancel terms that are in both the numerator and denominator

=  − 7 /1 1                                                                                                                      SOLUTION

=  − 7 /1 1

5 0
3 years ago
Hello dear students.
Vladimir [108]
Theater means expressing your own emotions and feelings in your own way without anyone judging you, express and grow your talent everyday with people who want to succeed in the same as you. Theater always has a story behind every sentence, poem, show, actor, etc…
7 0
2 years ago
Determine the vertical asymptote for the rational function f(x) = x - 4 over 2x + 3.
mr_godi [17]

Vertical asymptotes happen at x=a if the function is undefined at x=a.

This is a rational functions, and rational functions are not defined when the denominator is zero, since you can't divide by zero.

In this case, the denominator is zero if

2x+3=0 \iff 2x=-3 \iff x=-\drac{3}{2}

And thus the function has a vertical asymptote at x= -3/2

3 0
3 years ago
The area of a sector of an circle of a radius 5 cm, formed by an arc of length is 3.5cm. what is the answer
Natali5045456 [20]

Answer:

8.75cm²

Step-by-step explanation:

First we need to find the angle subtended by the arc

L = theta/360 * 2pir

3.5 = theta/360 * 2*3.14(5)

3.5 = theta/360 * 31.4

theta/360 = 3.5/31.4

theta/360 = 0.11146

theta = 0.11146 * 360

theta = 40.13 degrees

Area of the sector = theta/360 * pir^2

Area of the sector = 40.13/360 * 3.14*25

Area of the sector = 40.13/360 * 78.5

Area of the sector  = 8.75cm

Hence the area of the sector is 8.75cm²

5 0
3 years ago
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