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What are the first six terms of the sequence, n2 (n squared)??

Answers

Answer 1
Answer: a_1=1^2=1
a_2=2^2=4
a_3=3^2=9
a_4=4^2=16
a_5=5^2=25
a_6=6^2=36

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What is the solution to this inequality 2(x - 4 ) < 5x + 4
The quotient of the square of a number n and the cube of n increased by 5.
What would be the awnser to the equation 3x-2x=-4x+4 I'm really stuck, If you could explain it step by step that would be awesome. Thanks Everyone!!!!

Divide p(x) = x4 + 6x3 + 7x2 − 6x − 8 by x + 4 and by x − 3 to find the remainder in each case. Make sure to use the remainder theorem.

Answers

The remainder theorem says that dividing a polynomial p(x) by x-c leaves a remainder of p(c). Here, c=-4, then c=3.

p(-4)=0

p(3)=280

Final answer:

When you divide the given polynomial by x + 4, the remainder is 0. When you divide by x - 3, the remainder is 428.

Explanation:

To divide the polynomial p(x) = x^4 + 6x^3 + 7x^2 − 6x − 8 by x + 4 and x - 3 using the remainder theorem, first you substitute the roots of the divisor into the polynomial.

For x + 4, the root is -4. Substituting -4 into the polynomial yields p(-4) = (-4)^4 + 6*(-4)^3 + 7*(-4)^2 - 6*(-4) - 8 = 0. Thus, the remainder is 0 when dividing by x + 4.

For x - 3, the root is 3. Substituting 3 into the polynomial yields p(3) = (3)^4 + 6*(3)^3 + 7*(3)^2 - 6*(3) - 8 = 428 . Thus, the remainder is 428 when dividing by x - 3.

Learn more about Polynomial Division here:

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a building with a height of 32m casts a shadow that is 20m long. a person standing casts a shadow that is 1.2 m long how tall is the person

Answers

Most of the information's required for solving the question is already given in the question.
Height of the building that casts a shadow of 20 m = 32 m
Then
Height of the man that casts a shadow of 1.2 m = (32/20) * 1.2 meter
                                                                             = 3.2 * 1.2 meter
                                                                             = 3.84 meter
So the actual height of the person casting a shadow of 1.2 meter is 3.84 meters. I hope that the procedure used for solving the problem is easy enough for you to understand. You can definitely use this method in future for solving problems of similar type without requiring any additional help from outside.

Solve linear equation 2y+20=2-y. 3y+20=2

Answers

Answer:

  y = -6

Step-by-step explanation:

y is multiplied by 3 and 20 is added to the sum. We undo these operations in reverse order.

First we subtract 20 from both sides of the equation:

  3y = -18

Then we divide both sides of the equation by 3 to undo the multiplication.

  y = -18/3 = -6

The solution is y = -6.

How to solve this inequality 4x-12 greater than or equal to 20??

Answers

4x-12 greater than or equal to 20
You add both sides to het 4x by itself
4x greater than or equal to 32
You divide both sides by 4 to get x by itself
Your answer is x is greater than or equal to 8
4x-12 > or = 20
Add 12 to both sides. 
4x > or = 32
Divide 4 on both sides. 
x > or = 8

lu is stringing beads to make a necklace she is using. she is using 30 of the 8 mm beads 70 of the 4 mm beads and 40 of the 2 mm beads. how long will her finished neacklace be in centimeters?

Answers

Answer:

60cm

Step-by-step explanation:

30 (8)+70 (4)+40 (2)=600mm

1mm=0. 1cm

600mm=0. 1 (600)cm

600mm=60cm

25 letters in 4 days

Answers


In order to write 25 letters in 4 days you would need to write 6.25 a day