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professor190 [17]
2 years ago
5

If 11 is subratecet from 4 times a number the result is 89 find the number

Mathematics
2 answers:
Pavel [41]2 years ago
8 0

Answer:

25

Step-by-step explanation:

4x-11=89

4x=89+11

4x=100

x= 25

I hope this will help

max2010maxim [7]2 years ago
7 0

Answer:

25

Step-by-step explanation:

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There are 32 munchkins in the box. You want to distribute the munchkins to Amir and Isaac so that the ratio of Amir's munchkins
GrogVix [38]
A gets 5 parts and I gets 8 parts
So 5+8=13. A will get 5/13 parts of the total
5/13*32(total)=12.3 since he can’t get .3 we round and Amir gets 12 leaving 20 for Isaac.
5 0
3 years ago
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Which of the following is a list that follows this pattern with its numbers: prime, prime, prime, composite, prime, prime 1, 5,
Pani-rosa [81]

The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

<h3>What are prime and composite numbers?</h3>

Prime numbers:-

The prime number is defined as the number which is divided by 1 and itself.

Composite numbers:-

The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.

From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.

Pattern { 1, 5, 7, 9, 11, 13 }

1   → prime

5  → prime

7  → prime

9  → composite

11  → prime

13 → prime

Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

To know more about prime and composite numbers follow

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7 0
2 years ago
3.50 over(divided by) X equals 19.25<br>what is X?
castortr0y [4]

Answer:

x=0.18 repeating

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable x

4 0
2 years ago
1. Approximate the given quantity using a Taylor polynomial with n3.
Jet001 [13]

Answer:

See the explanation for the answer.

Step-by-step explanation:

Given function:

f(x) = x^{1/4}

The n-th order Taylor polynomial for function f with its center at a is:

p_{n}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(n)}a}{n!} (x-a)^{n}

As n = 3  So,

p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{3!} (x-a)^{3}

p_{3}(x) = f(a) + f'(a) (x-a)+\frac{f''(a)}{2!} (x-a)^{2} +...+\frac{f^{(3)}a}{6} (x-a)^{3}

p_{3}(x) = a^{1/4} + \frac{1}{4a^{ 3/4} }  (x-a)+ (\frac{1}{2})(-\frac{3}{16a^{7/4} } ) (x-a)^{2} +  (\frac{1}{6})(\frac{21}{64a^{11/4} } ) (x-a)^{3}

p_{3}(x) = 81^{1/4} + \frac{1}{4(81)^{ 3/4} }  (x-81)+ (\frac{1}{2})(-\frac{3}{16(81)^{7/4} } ) (x-81)^{2} +  (\frac{1}{6})(\frac{21}{64(81)^{11/4} } ) (x-81)^{3}

p_{3} (x) = 3 + 0.0092592593 (x - 81) + 1/2 ( - 0.000085733882) (x - 81)² + 1/6  

                                                                                  (0.0000018522752) (x-81)³

p_{3} (x)  =  0.0092592593 x - 0.000042866941 (x - 81)² + 0.00000030871254

                                                                                                       (x-81)³ + 2.25

Hence approximation at given quantity i.e.

x = 94

Putting x = 94

p_{3} (94)  =  0.0092592593 (94) - 0.000042866941 (94 - 81)² +          

                                                                 0.00000030871254 (94-81)³ + 2.25

         = 0.87037 03742 - 0.000042866941 (13)² + 0.00000030871254(13)³ +    

                                                                                                                       2.25

         = 0.87037 03742 - 0.000042866941 (169) +  

                                                                      0.00000030871254(2197) + 2.25

         = 0.87037 03742 - 0.007244513029 + 0.0006782414503 + 2.25

p_{3} (94)  = 3.113804102621

Compute the absolute error in the approximation assuming the exact value is given by a calculator.

Compute \sqrt[4]{94} as 94^{1/4} using calculator

Exact value:

E_{a}(94) = 3.113737258478

Compute absolute error:

Err = | 3.113804102621 - 3.113737258478 |

Err (94)  = 0.000066844143

If you round off the values then you get error as:

|3.11380 - 3.113737| = 0.000063

Err (94)  = 0.000063

If you round off the values up to 4 decimal places then you get error as:

|3.1138 - 3.1137| = 0.0001

Err (94)  = 0.0001

4 0
4 years ago
The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
nadezda [96]

Answer:

1. x^2-10 because the area expression can be rewritten as (x^2-10)(x^2+10)which equals (x^2-10)((x^2-10)+20).

Step-by-step explanation:

Area of the rectangle =(x^4-100)

x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)

Since the length of a rectangle is 20 units more than its width.

Width: x^2-10\\Length=x^2+10=x^2-10+20

The correct option is therefore 1.

4 0
3 years ago
Read 2 more answers
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