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3 years ago

Find the greatest common factor of 6w^3 and 5n^4

1 answer:

7 0

Hi there!

• Greatest Common Factor :-

GCF is th' greatest factor that divides two numbers.

To find the GCF of two numbers :-

→ List the prime factors of each number.
→ Multiply those factors both numbers have in common.

Accr'ding to the question :-

5n⁴ = 5 × n × n × n × n × 1
6w³ = 2 × 3 × w × w × w × 1

Greatest Common Factor [ 5n⁴, 6w³ ] = 1

~ Hope it helps!

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Find the dimensions of a rectangle with perimeter 84 m whose area is as large as possible.

Slav-nsk [51]

21 and 21
(it's a square)
and yes, a square is a rectangle

8 0

4 years ago

Resiprocal of (-3/7)^2!

USPshnik [31]

Answer:

$\frac{49}{9}$

Step-by-step explanation:

Given

$(\frac{-3}{7})^{2!}$

Required

Determine the reciprocal

If a number is x, the reciprocal is: 1/x

So, the reciprocal of $(\frac{-3}{7})^{2!}$ is:

$\frac{1}{(\frac{-3}{7})^{2!}}$

$2! = 2*1 =2$

So, we have:

$\frac{1}{(\frac{-3}{7})^{2}}$

$\frac{1}{(\frac{-3^{2}}{7^{2}})}$

Evaluate all exponents

$\frac{1}{(\frac{9}{49})}$

Take inverse of 9/49

$\frac{49}{9}$

Hence, the reciprocal of $(\frac{-3}{7})^{2!}$ is $\frac{49}{9}$

5 0

3 years ago

Alisa says it is easier to compare the numbers in set a (45,000, 1,025,680) instead of set b (492,111, 409,867). 1.What is one w

DerKrebs [107]

Answer:

1. Set a has two numbers with different number of digits and set b has two number with same number of digits

2. Alissa conjecture is true

3. Her strategy is the number which has the greatest ten thousand place is the greatest number because hundred thousand place has same digit in both numbers

Step-by-step explanation:

* Lets explain how we can solve the problem

- Alisa says it is easier to compare the numbers in set

a (45,000, 1,025,680) instead of set b (492,111, 409,867)

∵ Set a has two numbers one of them 5-digit and the other is 7-digit

∵ Set b has two numbers both of them 6-digit

∴ We can decide whether Alissa conjecture is true or not

1. Set a has two numbers with different number of digits and set b

has two number with same number of digits

- Lets look to set a there are two numbers

45,000 and 1,025,680

∵ The first number formed fro 5 digits and the greatest place value

is ten thousands

∵ The second number formed from 7 digits and the greatest place

value is million

∴ The second number is greatest then the first number

- She did that without looking to the digits and compare them

- Lets look to set b there are two numbers

492,111 and 409,867

∵ The first number formed from six digits and the greatest place

value is hundred thousands

∵ The second number formed from six digits and the greatest place

value is hundred thousands

∴ The two numbers have same number of digits

∴ We must start to compare the digits from greatest place value

- She must compare the corresponding digits to find the greatest one

2. Alissa conjecture is true because she can compare the number in

set a by counting the number of digits but in set b she must

compare the corresponding digits

∵ The greatest place value is hundred thousands and the two

numbers have the same digit 4 in this place, so she must look

to the ten thousand place

∵ The ten thousands digit in the first number is 9

∵ The ten thousands digit in the second number is 0

∵ 9 > 0

∴ The first number is greater than the second number

3. Her strategy is the number which has the greatest ten thousand

place is the greatest number because hundred thousand place

has same digit in both numbers

8 0

3 years ago

Read 2 more answers

Before leaving a particular restaurant, patrons are asked to respond to a questionaire containing the questions given below. For

patriot [66]

Answer:

1. Nominal Scale; 2. Ordinal Scale; 3. Ordinal Scale; 4. Nominal Scale.

Step-by-step explanation:

The variable in Question 1 (Q1) could be described as The attributes of the restaurant, with possible values: service, prices, quality of food, menu options (four values).

The variable in Question 4 (Q4) could be mentioned as Eaten before in the restaurant, with possible values: yes or not (two values).

These values are, in fact, simply names, and although they can be represented using numbers, they have no numerical meaning at all.

For instance, the values in Q1 can be labeled by 0 (service), 1 (prices), 2 (quality of food), 3 (menu options) and 0 (not) or 1 (yes), in Q4; for purposes of data analysis, 3 (menu options) is a label and does not mean a higher score than 1 or 0. These numbers are labels rather than meaningful numbers, and this is a characteristic of the Nominal Scale of measurement. Then, the possible response for questions Q1 and Q4 is the Nominal Scale.

The variable in Q2 is the Rating of the restaurant, with possible values: excellent, good, fair, poor.

The variable in Q3 is Prices, with possible values: high, average, low.

As can be seen, any possible value in either question, like excellent or high, has a greater value than fair or low, respectively. In other words, they have different values concerning others, but we do not the distance among them. High is greater than Average, and the latter is greater than the Poor value, but we do not know what distance separates one value from the other, and this is a characteristic of the Ordinal Scale of measurement. Thus, the possible response for questions Q2 and Q3 is the Ordinal Scale.

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3 years ago

Can someone please help me ? Thank youu !

GalinKa [24]

Answer:

Step-by-step explanation:

5 0

3 years ago