All categories

2 years ago

Which is the simplified form

Mathematics

1 answer:

Paul [167]2 years ago

5 0

Answer:

The answer is C. 1/x^12

Step-by-step explanation:

There is no need of work required. The negative power makes it inverse.

You might be interested in

What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3

lyudmila [28]

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

$V=5,676.16\ cm^3$

Step-by-step explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

The volume of a triangular prism is defined by the formula:

$V=(Area\ of\ base)\times (length)$

Here, the base is triangular and the area of a triangle is:

$A=\frac{1}{2}base \times height$

Therefore, the volume of the triangular prism is given as:

$V=\frac{1}{2}(base\times height\times length)$

Now, plug in the given values and solve for the volume 'V'.

$V=\frac{1}{2}(22.4\ cm\times 18.1\ cm\times 28\ cm)\\\\V=\frac{1}{2}(11,352.32\ cm^3)\\\\V=5,676.16\ cm^3$

Therefore, the correct answer is the third option.

$V=5,676.16\ cm^3$

7 0

3 years ago

Read 2 more answers

8 ^ x * 16 ^ x - 1 equals 1

Lana71 [14]

Answer:

${8}^{x} \times {16}^{x } - 1 = 1 \\ {2}^{3x} \times {2}^{4x} = 1 + 1 \\ {2}^{7x} = {2}^{1} \\ 7x = 1 \\ x = \frac{1}{7}$

7 0

3 years ago

A square piece of paper has an area of x2 square units. A

Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip = length * width = 2*x = 2x

Area of square piece of paper when rectangular strip is taken away from it

= Area of square - area of rectangular strip

= $x^2 -2x$

It is given that Area of square piece of paper when rectangular strip is taken away from it is 120 square units.

Thus,

$x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\$

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip = 2*12 = 24

Area of square = x^2 = 12^2 = 144

5 0

4 years ago

Indicate whether the following analysis involves a statistical test. If it does involve a statistical test, state the population

eimsori [14]

Answer:

Yes, The analysis involves a statistical test.

The hypothesis are $H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L$

Step-by-step explanation:

Consider the provided information.

Testing 500 right-handed participants on the reaction time of their left and right hands to determine if there is evidence for the claim that the right hand reacts faster than the left.

Yes, The above analysis involves a statistical test.

Where claim is right hand reacts faster than the left hand.

If right hand reacts faster that means the reaction time of right hand should be smaller than the reaction time of left hand.

Let $\mu_R$ to be the average reaction time of their right hands for the right-handed participants and $\mu_L$ to be the average reaction time of their left hands.

Therefore, the hypothesis are $H_0: \mu_R = \mu_L,\ and\ H_A: \mu_R < u_L$

3 0

3 years ago

Which composition of transformations maps figure EFGH to figure E"F"G"H"?

Lostsunrise [7]

The composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

<h3>What is translation?</h3>

A translation can be explained as the movement of a shape in a direction which could be up, down but the appearance of the figure remain unchanged in any other way.

And from the figure, we can see that a translation is used, because of the movement of EFGH to figure E"F"G"H" which occurred in the same direction.

Hence, composition of transformations maps figure EFGH to figure E"F"G"H" is Option A.a reflection across line k followed by a translation down.

Learn more about transformation from

brainly.com/question/3724552

#SPJ1

7 0

2 years ago