What is the Area of 8 and 3 1/2

Answer:

  x^8

Step-by-step explanation:

You want to simplify x^10/x^2.

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

Using this rule on the given expression, we find ...

  (x^10)/(x^2) = x^(10-2) = x^8

__

Additional comment

An exponent can be considered to be an indicator of repeated multiplication. That is, it tells how many times the base is a factor in the product. Knowing this, you can use the usual rules of division to cancel common factors:

  [tex]\dfrac{x^{10}}{x^2}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x}=x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x=x^8[/tex]

Probability of x successes given the probability p of success on a single trial is 0.0154.

When a process is repeated a certain number of times (for example, in a set of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes." In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

Given Data

n = 6

X = 3

p = [tex]\frac{1}{6}[/tex]

Binomial distribution

P(X = x) = ₙCₓ(pˣ)(qⁿ⁻ˣ)

ₙCₓ =[tex]\frac{n!}{(n-x)!x!}[/tex]

P(X = 3) = ₃C₄(0.1667³)(1-0.1667)¹

P(X=3) = 0.0154

Probability of x successes given the probability p of success on a single trial is 0.0154.

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Step-by-step explanation:

1/8, 2/8, 3/8, 4/8, etc...

3.To find:

The right angle congruence theorem is used to prove that two triangles are congruent.

Solution:

In the given triangles, the corresponding hypotenuse and the corresponding angle are equal. So, the congruence used here is the Hypotenuse-Angle congruence that implies ABC is congruent to DEF.

Thus, the answer is Hypotenuse-Angle congruence.

Based on the fact that the researchers are 96% confident that they are correct, then the probability that they are actually wrong is 4%.

If we are to believe the assertions of the researchers that they are 96% certain of them being correct, then the probability that they are wrong can be found by the formula:

= 1 - Percentage certainty

Solving for that probability of being wrong then gives:

= 1 - 96%

= 4%

It is worthy of note that this probability of being wrong is based on their estimates and so there is a chance that the probability of being wrong is 4%.

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Answer:

y = 1/3 x + 3

Step-by-step explanation:

1) when finding a perpendicular line, you take the slope and use the reciprocal (you flip it) and change the sign (from negative to positive or positive to negative)

-3 ---> 1/3

2) plug in the slope into a new equation

y=1/3 x + b

3) plug in the points

3= 1/3 (0) + b

b=3

4) rewrite the equation

y=1/3 x + 3

Answer:

  -8

Step-by-step explanation:

You want the value of c(3) when c(x) = (x -5)^3.

The value of a function is found by substituting the argument for the variable and doing the arithmetic.

  c(x) = (x -5)^3

  c(3) = (3 -5)^3 = (-2)^3

  c(3) = -8

Answer: 13

Step-by-step explanation:

The solution to the inequality shows that the circle will be on 10 and pointing to the left.

Inequality are expressions not separates by an equal sign.

Given the inequality expression below:

2(b + 2) < 24

Expand

2b + 4 < 24

2b < 24 - 4

2b < 20

Divide both sides by 2

2b/2 < 20/2

b < 10

Hence the number line with open point at 10 with arrow pointing left.

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Answer: -4/3

Step-by-step explanation:

[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{-3/4}=-4/3[/tex]

Answer:

P(A|B) =  1/2

Step-by-step explanation:

Sample space for B = {10, 20, 30, 40, 50, 60, 70, 80}

where B is even

Total number of elements in sample space = 8

P(A|B) = Probability of a number being 40 or less from the sample space of 8

Sample space for A|B  = {10, 20, 30, 40}

So out of a possible 8 elements in the sample space for B only 4 elements can be chosen for the sample space of A

So P(A|B) = 4/8 = 1/2

Answer: 52900 Naira

Step-by-step explanation:

1) Use the equation A = P(1+r/n)^nt

A = Ammount

(Starting Cash) P = 40,000

(Intrest rate) R = 15%

(Number of periods) n = N/A

(Time) t = 2

2) Make an equation

A = 40,000(1+15%)^2

3) Solve the equation.

A = 40,000(1+0.15)^2

A = 40,000(1.15)^2

A = 40,000(1.3225)

A = 52900

Answer:

Is this correct??

if yes reply

Answer:

Step-by-step explanation:

34 units.

The CSC of the expression [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex] is mathematically given as

[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]

This is further explained below.

Generally, the equation for the Problem is mathematically given as

[tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)[/tex]

Therefore

To find the [tex]$\csc (\theta)$[/tex] between the x-axis and the line between the points (0,0) and [tex]\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right),[/tex] draw the triangle between the three points [tex](0,0),\left(\frac{3}{8}, 0\right)$, and $\left(\frac{3}{8},-\frac{\sqrt{55}}{8}\right)$[/tex]

Opposite [tex]$:-\frac{\sqrt{55}}{8}$[/tex]

Adjacent :[tex]$\frac{3}{8}$[/tex]

Find the hypotenuse using the Pythagorean theorem [tex]$c=\sqrt{a^2+b^2}.[/tex]

[tex]$\csc (\theta)=\frac{\text { Hypotenuse }}{\text { Opposite }}$[/tex]

therefore

[tex]\csc (\theta)=\frac{1}{-\frac{\sqrt{65}}{8}}$.[/tex]

[tex]\frac{1}{-\frac{\sqrt{55}}{8}}[/tex]

Simplify[tex]\csc (\theta)[/tex]

[tex]\csc (\theta)=-\frac{8 \sqrt{55}}{55}[/tex]

Approximate the result.

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Answer:

Step-by-step explanation:

thanks

Parul ran the fastest.

For Mary,

4/8 = x/1

4/8 or 1/2 laps per minute.

x= 0.5

For Paul,

12/18 = y/1

12/18 or 2/3 laps per minute.

y=0.666

Hence, Parul ran faster.

The SI unit of speed is m/s, and speed is defined as the ratio of distance to time.

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at X= 0 the function f(x) = 2/6x^3 is not differentiable

Since 1/0 cannot be differentiated and the denominator will become zero when x=O, the function is not defined. Sharp points, cusps, and discontinuities in the graph indicate that a function is "not differentiable." Additionally, it implies that at that same location, we can draw an endless number of tangents. There is therefore no special tangent at that place. Even at x=0, the provided function is not defined. (If you plug in x=0, you get (1/0), which is undefined and leaves you with nothing to do.)) Only after a function is clearly defined at a certain moment do we discuss its continuation. And only if the function is continuous at the place do we talk about differentiability.

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Answer:

224

Step-by-step explanation:

The answer is 224 since 8 x 28 = 224

Answer: Terrence planted 224 flowers in total

Step-by-step explanation:  8x28

The statement that justifies the triangles' similarity is (c) SSS similarity theorem

The triangles are given as

Triangle ABC and Triangle DBE

From the figure, we can see that the corresponding vertical lines of either triangle are parallel (but not equal)

This means that, the triangles are similar triangles

This is so because the other two sides of the smaller triangle lie completely on the bigger triangle

As a general rule, the corresponding sides of similar triangles are in proportions

So, we can say that the corresponding side lengths of the triangles are similar

The statement that justifies this is the Side-Side-Side similarity theorem

Hence, the true statement is (c) SSS similarity theorem

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The irrational numbers lying between 1/12 and 1/10 are -

For the given question;

The number are given as  1/12 and 1/10

Write both number in its decimal form.

1/12 = 0.8333333

1/10 = 0.1

Thus, write number which lies between these two.

1/12 = 0.8333333

0.456258824......

0.32547965.......

0.21448663324........

1/10 = 0.1

The dotted parts shows that the number is nether terminating nor repeating.

Thus, the irrational numbers lying between 1/12 and 1/10 are found.

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Answer:

4

Step-by-step explanation:

first we go over where 8 is on the x-axis then we move up to the line, and look at the corresponding y value, which is 4

filled in the blanks : -

  348

* 784

_____________

        1392  

      2784      

    2436

______________

   272832

a mathematical operation that, at its most basic, is the quick addition of an integer to zero a certain number of times, expanded to other numbers using principles that apply to integers.

  348

* 784

_____________

        1392  

      2784      

    2436

______________

   272832

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The option that describes the equation 4x =-20 will be C. What number, when multiplied by four, is equal to negative twenty?

It should be noted that an equation is used to show the relationship between the variables.

In this case, the equation given us illustrated as:

4x = -20

The appropriate question that fits this will be that what number, when multiplied by four, is equal to negative twenty. This can be illustrated as:

4x = -20

Divide through

x = -20 / 4

x = -5

In conclusion, the correct option is C.

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Answer:

Step-by-step explanation:

This is a case of indices

The third option is the right answer.

Answer:

The dinner costs $18

Step-by-step explanation:

30x0.40=discount

discount=12

30-12=dinner price

dinner price=$18

In an inscribed quadrilateral, the sum of the opposite angles are always equal to 180 degrees

so that

10z +

(14z-7) + 8z = 180 degrees-------------(2)

From equation (2)

14z+8z= 180+7

22z = 187

22z/22 = 187/22

z= 8.5

From equation (1) and substituting for z

10(8.5) + 85 +

For the graph of a linear function x=-3 and y=4 is horizontal line , the equation for this linear function is y = 0(x) +4.

As given in the question,

Graph of a required linear function is a horizontal line.

Given :

When x=-3 y=4

Two coordinates of the required linear function are :

(x₁ ,y₁) = (-3, 4)

(x₂, y₂) = ( 0,4)

Equation of the linear function :

(y -y₁) /(x-x₁) = (y₂ -y₁) / (x₂- x₁)

⇒( y-4)/(x+3) =(4-4)/(0+3)

⇒ (y-4)/(x+3) = 0/3

⇒ y = 0(x) +4

Therefore, for the graph of a linear function x=-3 and y=4 is horizontal line , the equation for this linear function is y = 0(x) +4.

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Answer:  2,175 divided by 12 will give you 181.25.