MATHEMATICS MIDDLE SCHOOL

245 500 1,010 2,030
The sequence above can be expressed
245 500 1,010 2,030 The sequence above can be expressed - 1

Answers

Answer 1
Answer:

Answer:

12

Step by Step Explanation:

f(n+1) = 2f(n) + 10

a = 2, k = 10

a + k = 2 + 10 = 12
Answer 2
Answer:

Answer:

12

Step-by-step explanation:

if I have understood the question correctly

f(n+1) = a*f(n) + k

using two consecutive values of the given sequence

500 = a*245 + k or it can be written as a*245+k -500 = 0

1010 = a*500+k or it can be written as a*500+k - 1010 = 0

therefore

a*245+k -500 = a*500+k - 1010

a*245-a*500 = -1010 + 500

-255a = -510  a=510/255=2

using this value in the original equation

500 = 2 *245 + k

k = 500 - 2 *245 = 10

a+k = 2+10 = 12

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At present Asha's age (in years) is two more than the square of her daughter Nisha's age (in years). When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present age of Asha and Nisha

Answers

Answer:

Asha's present age is 27 years and Nisha's present age is 5 years.

Step-by-step explanation:

Let the present age of Nisha be x years.

As per question, Asha's present age is 2 more than the square of Nisha's age.

\thereforeAsha's present age =x^2+2

Now, Nisha will reach her mother's age after x^2+2-x years.

Therefore, age of Asha after x^2+2-x years will be = x^2+2+x^2+2-x=2x^2-x+4

Now, as per question,

2x^2-x+4=10x-1\n2x^2-x-10x+4+1=0\n2x^2-11x+5=0\n2x^2-x-10x+5=0\nx(2x-1)-5(2x-1)=0\n(2x-1)(x-5)=0\nx=(1)/(2)\ or\ x=5

As age can't be in fraction, we consider the present age of Nisha as 5 years. So, Asha's present age is x^2+2=5^2+2=25+2=27 years.

Therefore, Asha's present age is 27 years and Nisha's present age is 5 years.

Say in 1987 I was born...
How old would I be in 2043?

Answers

you would be at the age of 56
2048-1987=56. You would be 56 years old.
    13 13
  2043
 -1987
  0056

A square with the side length s has an area of 324 square centimeters. This equation shows the area of the square. x^{2} =324 What is the side length of the square in centimeters?

Answers

The previous person was incorrect because if you check it (the area equals the length times the width), 81 times 81 is not 324, it is 6561. You actually have to find the square root of 324 which is 18. And to check it 18 times 18 is 324.

How many points are shared by two perpendicular lines? but two parallel lines?

Answers

Two perpendicular lines intersect once, to form a right angle. Therefore, on point is shared by two perpendicular lines. since parallel lines never touch, there are NO points shared between the two lines.

Our school swimming pool is 25 m long . If our coach wants us to swim 3 kilometers how many lengths of pool will we need to swim?

Answers

1km=1000m

3km=1000*3=3000m

3000m/25m=120lengths

Answer=120 lengths

What is -4 and 1/4 as an improper fraction?

Answers

To make a mixed number an improper fraction,  first multiply the denominator by the Whole Number.  4*4=16  Then add the numerator.  16+1=17.  Then,  remember it is negative.  The answer is -17/4
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