I need help to find the blank spaces for the chart

Answer to 1:

[tex]\frac{x^3}{2y^25}[/tex]

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction.  So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.

now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.

[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]

Answer:

a = 337.214 m2

Step-by-step explanation:

hope this helps

Answer:

14/24 is one expression equivalent to 7/12.

Answer:

14/24,21/36,28/48,35/60,42/72,49/84,56/96 are equivalent to 7/12...

a) 2338 ≡ 42 • 55 + 28 ≡ 28 (mod 55)

b) We want to find a such that

23a ≡ 1 (mod 55)

Use the Euclidean algorithm:

55 = 2 • 23 + 9

23 = 2 • 9 + 4

9 = 2 • 4 + 1

⇒   1 = 9 - 2 • 4

⇒   1 = 9 - 2 • (23 - 2 • 9) = 5 • 9 - 2 • 23

⇒   1 = 5 • (55 - 2 • 23) - 2 • 23 = 5 • 55 - 12 • 23

Solve for a :

5 • 55 - 12 • 23 ≡ 1 (mod 55)

⇒   -12 • 23 ≡ 1 (mod 55)

⇒   a ≡ -12 ≡ 43 (mod 55)

Answer:

7

Step-by-step explanation:

Because it is asking what X value are all the functions equal to just find a point that lies on X that they all come to.

In this case it's 7

Answer:

x = 7

Step-by-step explanation:

The functions are equal to each other where the lines of the functions intersect each other.

The intersection point is (7, 3).

The x-value at this point is 7.

Hence, x = 7.

=====================================================

Explanation:

The triangular face has area of base*height/2 = 4*10/2 = 40/2 = 20 square cm.

Multiply this prism base area by the depth of the prism to get 20*2 = 40 cubic cm.

It might help to place the triangular prism so the triangular face is along the ground, so you can think of that face as the floor of this triangular room. The volume of this room is equal to the floor area times the height of the room.

volume of the room = (floor area)*(height of the room)

volume of the prism = (base area)*(height of the prism)

For any prism, the base faces are always parallel and congruent to each other.

Answer:

180cm cubed (the tiny three symbol)

Step-by-step explanation:

4 x 5 x 9

(4 x 5) x9

20 x 9

=180cm cubed

Answer:5/18

Step-by-step explanation:

1. Find how many minutes (90 minutes in all but you were there for 25)

2. Put 25 over 90 to find the probability in the time that you were not there.

3. Simplify the fraction to 5/18.

Answer:

[tex]x=\frac{1}{2}\left(\tan^{-1}{4}+\pi k\right)[/tex], where k is any integer

Step-by-step explanation:

Let's start by getting all the trig functions on one side and all the constants on the other. We can do this by dividing both sides by [tex]\cos{2x}[/tex]:

[tex]\dfrac{\sin{2x}}{\cos{2x}}=4[/tex]

This ratio looks familiar! It just so happens that the tangent function is defined as the ratio of sine to cosine. In our case:

[tex]\dfrac{\sin{2x}}{\cos{2x}}=\tan{2x}[/tex]

Substituting this back into our equation, we have [tex]\tan{2x}=4[/tex]. We can unwrap the 2x by applying the inverse tangent function to both sides, giving us [tex]2x=\tan^{-1}{4[/tex]. Note, this specific solution only accounts for values of 2x between 0 and 2π radians. To make it general, we can add the term πk to the end of the right side, where k is any integer. We use π as a coefficient because the tangent function has a period of π radians, and it repeats its values every period.

Finally, we divide both sides of the equation by 2 to isolate x, giving us

[tex]2x=\tan^{-1}{4}+\pi k\\x=\frac{1}{2}\left(\tan^{-1}{4}+\pi k\right)[/tex]

The polynomial that describes the area of the stone is: 3x² - 5x

Area of the stone with a base length of 6 in. is: 78 sq. in.

Area of Parallelogram = base length × height

Given the following:

Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x

To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:

Area = 3(6)² - 5(6) = 78 sq. in.

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The recursive formula of the geometric sequence is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

The given parameters are:

Fifth term = 781.25

Term = 1/5 * following term

The second parameter above means that:

[tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex]

Multiply both sides by 5

[tex]a_{n+1} = 5a_n[/tex]

Remove 1 from the terms

[tex]a_{n} = 5a_{n-1}[/tex]

Using the formula [tex]a_n = \frac{1}{5} * a_{n+ 1}[/tex], we have the first term to be:

[tex]a_1 = \frac 15 * a_2[/tex]

[tex]a_2 = \frac 15 * a_3[/tex]

[tex]a_3 = \frac 15 * a_4[/tex]

[tex]a_4 = \frac 15 * a_5 = \frac 15 * 781.25 = 156.25[/tex]

So, we have:

[tex]a_3 = \frac 15 * 156.25 = 31.25[/tex]

[tex]a_2 = \frac 15 * 31.25 = 6.25[/tex]

[tex]a_1 = \frac 15 * 6.25 = 1.25[/tex]

Hence, the recursive formula is [tex]a_{n} = 5a_{n-1}[/tex] and a1 = 1.25

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Answer:

A

Step-by-step explanation:

300 written in scientific notation is 3 × 102.

hope this was helpful.

Step-by-step explanation:

Answer:

3 hrs 30 min

Step-by-step explanation:

Answer:

The volume of the cylinder is equal to 70.65 cm³.

General Formulas and Concepts:
Geometry

Volume Formula [Cylinder]: V = πr²h

Step-by-step explanation:

Step 1: Define

Identify given variables from diagram.

r = 3 cm

h = 2.5 cm

Step 2: Find Volume

∴ we found the volume of the cylinder to be 70.65 cm³.

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Topic: Geometry

Answer:

Variance

Step-by-step explanation:

Biased estimators ar ethe values in which the calculated value is less than the estimated values .

For statistics sector this word is used.

Mean and medians are standards and unbiased estimators .

Option A

In between: variance, proportion, median and mean, variance is considered a biased estimator.

An estimate that deviates from the genuine population value is said to be biased. If the kind and extent of the bias are known, a biased sample may still be informative. When a sample's value matches the actual value of a population parameter, that is an unbiased estimator.

Because they are centered on parameters, the sample percentage (p) and sample mean (x) are both unbiased estimators.

When the population is normal, the sample median is a fair estimate of the population median. It is untrue that the sample median is a fair estimator of the population median for a broad population, nevertheless. When the population is not symmetric, the sample mean is a biased estimator of the population median.

A biased estimate of the population variance is the sample variance.

Therefore, a biased estimator is variance.

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Answer:

8,327.8 - 12.034 = 8315.766

923.01 + 74.289 = 997.299

hope this helps:)

Answer:

[tex]y=2x^2-4x-16[/tex]

Step-by-step explanation:

Factored form of a quadratic equation:

[tex]y=a(x-r_1)(x-r_2)[/tex]

where:

Given:

Substitute the given values into the formula and expand:

[tex]\implies y=2(x-4)(x-(-2))[/tex]

[tex]\implies y=2(x-4)(x+2)[/tex]

[tex]\implies y=2(x^2+2x-4x-8)[/tex]

[tex]\implies y=2x^2-4x-16[/tex]

Answer:

  π = C/(2r)

Step-by-step explanation:

The equation that relates the circumference of a circle to the radius is ...

  C = 2πr

__

We can divide both sides of the equation by 2r to get an expression for π.

  [tex]C=2\pi r\\\\\dfrac{C}{2r}=\dfrac{2\pi r}{2r}\\\\\boxed{\pi=\dfrac{C}{2r}}[/tex]

Answer:

B and D because I know that I think

Answer:

Could you possible line the numbers up a little bit, it'd be better to understand that way.

Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

Answer:

B

Step-by-step explanation:

from right angle triangle we know

(greater side)=√one side^2+remaining side^2

130=√78^2+104^2

130=130

hence b is correct

Answer:

Exponents are done before addition, subtraction, multiplicaton, and division

Step-by-step explanation:

PEMDAS=

Parenthases

Exponents

Multiply

Divide

Add

Subtract

Answer:

b.42

Step-by-step explanation:

the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.

so then total number of frogs is 42.

Using linear function concepts, it is found that the representation of the value of 4,000 is given by:

B the gallons of water initially in the pool.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the amount of water in the pool after x hours is modeled by:

y = -720 x + 4000.

4000 is the y-intercept, which is the initial amount of water in the pool, hence option B is correct.

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