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3 years ago

What is the prime factorization of 84?

Mathematics

2 answers:

Anton [14]3 years ago

4 0

Answer:

2*2*3*7

Step-by-step explanation:

nikklg [1K]3 years ago

3 0

Answer:

Step-by-step explanation:

I look at 84 and see that it will be divisible by 4

84/4=21

21=7*3

84=2^2 * 3 * 7

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Integers that are not whole numbers

zubka84 [21]

Integers that are not whole numbers are like -5 -8 -7 and etc...

8 0

4 years ago

If -xy – 5+ y^2+ x^2= 0 and it is known that dy/dx= y-2x/-x+2y, find all

sleet_krkn [62]

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

3 0

3 years ago

A shopper at a local supermarket spent the following amounts in her last eight trips to the store: $32.92 $14.14 $30.80 $28.34 $

alexdok [17]

Answer:

$75.58

The amount spent of $75.58 is most likely an outlier

Step-by-step explanation:

An outliers are unusual values in a dataset, they are data values that are extremely higher or extremely lower when compared to the other values in a data (data points that are far from other data points)

For the case above, give a dataset;

$32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94

$75.58 is extremely far from other value. So $75.58 is an outlier in the given dataset.

7 0

3 years ago

the sum of the first nine terms of an arithmetic series is 162, and the sum of the first 12 terms is 288. Determine the first fi

Natali5045456 [20]

Answer:

$\boxed{\pink{\tt \leadsto Sum \ of \ first \ five \ terms \ is \ 50 . }}$

Step-by-step explanation:

Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

$\boxed{\red{\bf \bigg\lgroup For \ answer \ refer \ to \ attachment \bigg\rgroup }}$

<h3>Related Information :- </h3>

• The sum of n terms of an AP is

$\boxed{\orange{\sf S_n = \dfrac{n}{2}[2a+(n-1)d] }}$

• nth term of an AP is given by ,

$\boxed{\blue{\sf T_n = a+(n-1)d }}$

8 0

3 years ago

What is the area of △ABC?

kirza4 [7]

Answer:
Area = 492.4 m²

Explanation:
The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)

This rule is illustrated in the attached image.

Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees

The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²

Hope this helps :)

3 0

3 years ago