Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is: a. Add the next even number c. Cube the number of the term, n b. Square the number of the term, n d. Add 2 + the number of the term, n

Answers

Answer 1

Answer: Square roots the square root of 1 is one square root of 2 is 4 square root of 3 is 9 and ect.

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Lilianna discovered that the ratio of kilometers to miles is 1 to 0.6 if its 60 kilometers to Moncton then how many miles does it take to get to Moncton.

Answers

Answer: 36 miles.

Step-by-step explanation: Ratio of 1 to 0.6 means 1:0.6 or $(1)/(0.6)$ .

So, if to Moncton is 60km:

$(1)/(0.6)=(60)/(y)$

$y=60.0.6$

y = 36

To Moncton, it is 36 miles.

Which monomials are perfect cubes? Check all that apply.3x3
8x12
27x9
100x3
125x5

Answers

When a number is multiplied by itself three times, then the resultant number is called a perfect cube. It is also a number with an exact cube root.

Out of the given options, $8x^(12)$ and $27x^(9)$ are perfect cubes.

$8x^(12)$ = $2x^(4)* 2x^(4)* 2x^(4)$ (2's are multiplied and powers are added)

$27x^(9)$ = $3x^(3)* 3x^(3)* 3x^(3)$ (3's are multiplied and powers are added)

The monomials that are perfect cubes out of the options given are: B. 8x^12, and C. 27x9.

What is a Perfect Cube?

A perfect cube is a number that can give you a precise cube root, i.e. a³ = a × a × a = ∛a³ = a.

27x^9 can be expressed as: ∛(27x^9) = 3x³

8x^12 can be expressed as: ∛(8x^12) = 2x^4

Therefore, the perfect cubes are: B. 8x^12, and C. 27x9.

Learn more about perfect cube on:

brainly.com/question/13161078

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There are 420 children in a school. 45% of the pupils are boys. How many boys are there?
How many girls are there?

Answers

$1 \% = (1)/(100) \n \n 45 \% =(45)/(100)=(9)/(20)\n \n total \ children : 420 \n \n boys : \n \n420 \cdot 45 \% = 420 \cdot (9)/(20)= 21\cdot 9 =189 \n \n girls : \ \n \n 420 -189 = 231$

total children = 420
boys = 45% of 420 = 189 boys
Girls = (100-45)% = 55% of 420 = 231 boys

Dominick lives 1 3/4 miles from his school. If his mother drives him half the way, how far will Dominick have to walk to get to school?

Answers

It is half of 7/4. That is, 7/8 miles (or .875 miles)

He will need to go 7/8 more miles

Dawn used a unit fraction to describe how much of her chores she has done. which fraction could dawn have used?

Answers

A possible fraction dawn could use is 1/6.

1/X is a better answer though where x is number of chores.

1 . The lengths of the legs of a right triangle are 25 cm and 60 cm. What is the length of the hypotenuse?
A. 42.5 centimeters
B. 65 centimeters
C. 9.2 centimeters
D. 35 centimeters

D.

35 centimeters

Answers

$a^(2)+ b^(2) = c^(2)$ that is, hypotenuse.
Therefore, let the length of the hypotenuse be 'x.'
$25^(2)+ 60^(2)= x^(2)$
625+3600= $x^(2)$
4225= $x^(2)$
Therefore,
$√(4225)$ =x
65=x
The length of the hypotenuse is B.65 centimetres.

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