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3 years ago

Find the sum for: (3x^2+4x−1)+(−2x^2−3x+2)=

Mathematics

1 answer:

Phantasy [73]3 years ago

7 0

Answer:

x^2+x+1

Step-by-step explanation:

(3x^2+4x−1)+(−2x^2−3x+2)

Combine like terms

3x^2-2x^2+4x-3x-1+2

x^2+x+1

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The area of a square is represented by the expression 16x^4y^8. What is the length of each side of this square

Leona [35]

Answer: $4x^2y^4$

Step-by-step explanation:

Given

The area of the square is $A=16x^4y^8$

Suppose a is the side length of the square

The area of the square is given by

$\Rightarrow A=(\text{side length})^2$

So, we can write

$\Rightarrow a^2=16x^4y^8\\\Rightarrow a=4x^2y^4$

length of each side is $4x^2y^4$

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3 years ago

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3 years ago

Find the sample standard deviation of the following data set, using the statistical functions on your calculator.0.2315 0.4725 0

Nonamiya [84]

Answer:

Option C) 0.2358

Step-by-step explanation:

We are given the following data set:

0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{3.39675}{6} = 0.566125$

Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787

$S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358$

Thus, the standard deviation for given data is

Option C) 0.2358

7 0

3 years ago

An angle measures 8.8° more than the measure of its complementary angle. What is the measure of each angle?

Fittoniya [83]

Based on the definition of complementary angles, the two angles are: 49.4° and 40.6°.

<h3>What are Complementary Angles?</h3>

Angles that are complementary angles have a sum of 90 degrees.

Let the angle be represented as x

Complement of the angle = (90 - x)

Therefore, we would have:

x = (90 - x) + 8.8

x = 90 - x + 8.8

x = 98.8 - x

x + x = 98.8

2x = 98.8

x = 98.8/2

x = 49.4°

The second angle would be: 90 - 49.4 = 40.6°

The angles are 49.4° and 40.6°.

Learn more about complementary angles on:

brainly.com/question/16281260

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2 years ago

Is this set of numbers a Pythagorean triple? yes or no

Kaylis [27]

Answer:- No.

Explanation :-

Substitute these numbers in pythagoras theorem to check if the set of numbers is a pythagorean triplet.

Pythagoras theorem :- sq. of hypotenuse (longest side) is equal to the sum of sq.s of other two sides.

Here,

hypotenuse = 12 (as it is the longest side)

and other two sides are 6 and 9.

----> 6^2 + 9^2 = 12^2

----> 36 + 81 = 144

----> 117 = 144

Since, LHS is not equal to RHS, this set of numbers is not a pythagorean triplet.

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3 years ago