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photoshop1234 [79]
3 years ago
9

How many different 4-digit numbers can be made from the digits 0, 1, 3, 5, and 7 if no digit is repeated in a number and zero ca

nnot be first number?
Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

There are 96 ways different 4 digit numbers which can be made from these 5 digits.

Step-by-step explanation:

There are 5 different digits. The first one must be

1 3 5 or 7

So you can have 4 for the first one. Now the zero can be put into the mix.

4 * 4 * 3 * 2

96

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PLEASE HELP ME WILL GIVE BRAINLIEST TO CORRECT ANSWER
alex41 [277]

common difference, d = -3

f1 = -13

An arithmetic sequence f(n) = f1 + d(n - 1)

so f(n) = -13 - 3(n - 1)

f(46) = -13 - 3(46-1) = -13 -3(45) = -13 - 135 = -148

Answer:

f(46) = - 148

8 0
3 years ago
Read 2 more answers
If f(x)=2x^4-3x^3+2x^2+x-3, explain how you know that the equation f(x)=0 has at least one real root between x=1 and x=2
hodyreva [135]

Answer:

Step-by-step explanation:

by theorem :

f continu in [1 , 2]

f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15

so the equation f(x)=0 has at least one real root between x=1 and x=2

so :

7 0
3 years ago
A rectangle has a width of 10cm. The rectangle length is 4 times its width
Nana76 [90]

Answer:

P = 100 centimeters (assuming you are asking for the perimeter)

Step-by-step explanation:

P = 2 (L + W) OR P =  2L + 2W where P equals the perimeter, L equals the length, and W equals the width.

Since the rectangle's length is 4 times its width and given we know the width is 10 centimeters, then the length is 40 centimeters. Now we can substitute these values in our formula, okay?  

P = 2 (L + W)  

P = 2 (40 + 10)  

P = 80 + 20  

P = 100 centimeters

8 0
3 years ago
He was a Jamaican-American Civil Rights activist who was part of the "Back to Africa" movement of the early 20th century and fou
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4 0
3 years ago
A cuboid with a volume of 924cm^3 has dimensions
Leona [35]

The values of x are -22 and 10

The dimensions are 4 cm , 11 cm , 21 cm

Step-by-step explanation:

The given is:

  • A cuboid with a volume of 924 cm³
  • It has dimensions  4 cm , (x + 1) cm and (x + 11) cm

We want to show that x² + 12x - 220 = 0, and solve the equation to find its dimensions

The volume of a cuboid is the product of its three dimensions

∵ The dimensions of the cuboid are 4 , (x + 1) , (x + 11)

∴ Its volume = 4(x + 1)(x + 11)

- Multiply the two brackets and then multiply the product by 4

∵ (x + 1)(x + 11) = (x)(x) +(x)(11) + (1)(x) + (1)(11)

∴ (x + 1)(x + 11) = x² + 11x + x + 11 ⇒ add like terms

∴ (x + 1)(x + 11) = x² + 12x + 11

∴ Its volume = 4(x² + 12x + 11)

∴ Its volume = 4x² + 48x + 44

∵ The volume of the cuboid = 924 cm³

- Equate the expression of the volume by 924

∴ 4x² + 48x + 44 = 924

- Subtract 924 from both sides

∴ 4x² + 48x - 880 = 0

- Simplify it by dividing all terms by 4

∴ x² + 12x - 220 = 0

Now let us factorize it into two factors

∵ x² = x × x

∵ 220 = 22 × 10

∵ 22(x) - 10(x) = 12x ⇒ the middle term

∴ x² + 12x - 220 = (x + 22)(x - 10)

∴ (x + 22)(x - 10) = 0

- Equate each factor by 0 to find x

∵ x + 22 = 0 ⇒ subtract 22 from both sides

∴ x = -22

∵ x - 10 = 0 ⇒ add 10 to both sides

∴ x = 10

∴ The values of x are -22 and 10

We can not use x = -22 because there is no negative dimensions, then we will use x = 10

∵ The dimensions are 4 , (x + 1) , (x + 11)

∵ x = 10

∴ The dimensions are 4 , (10 + 1) , (10 + 11)

∴ The dimensions are 4 cm , 11 cm , 21 cm

Learn more:

You can learn more about the factorization in brainly.com/question/7932185

#LearnwithBrainly

3 0
3 years ago
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