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2 years ago

What is 8x to the power 3 over 6x to the power 5

Mathematics

1 answer:

bulgar [2K]2 years ago

3 0

In this question, you're simplifying the "fraction".

Simplify:

8x² / 6x^5

First, simplify the 8 and the 6 by dividing by 2

4x² / 3x^5

Now simplify the exponents:

The exponents is equivalent to: x² - x^5

x² - x^5 = -x²

Since it's a negative, it would stay in the bottom of the fraction, or the denominator.

4 / 3x²

Answer:

4 / 3x²

You might be interested in

The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

o-na [289]

Answer:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

b. between .025 and .05

Step-by-step explanation:

Previous concepts and notation

The chi-square test is used to check if the standard deviation of a population is equal to a specified value. We can conduct the test "two-sided test or a one-sided test".

$\bar X$ represent the sample mean

n = 30 sample size

s= 0.2 represent the sample deviation

$\sigma_o =\sqrt{0.027}=0.164$ the value that we want to test

$p_v$ represent the p value for the test

t represent the statistic

$\alpha=$ significance level

State the null and alternative hypothesis

On this case we want to check if the population standard deviation is less than 0.027, so the system of hypothesis are:

H0: $\sigma \leq 0.027$

H1: $\sigma >0.027$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(30-1) [\frac{0.2}{0.164}]^2 =42.963$

What is the approximate p-value of the test?

The degrees of freedom are given by:

$df=n-1= 30-1=29$

For this case since we have a right tailed test the p value is given by:

$p_v = P(\chi^2_{29}>42.963)=1-0.954=0.0459$

And the best option would be:

b. between .025 and .05

6 0

2 years ago

A rectangle has an area of 126 m2 and a width of 7 m. What is its length?

Lorico [155]

126 divided by 7 equals 18

18 m

8 0

2 years ago

Read 2 more answers

A patrolman spends three times as many hours patrolling as she does completing paper work. If she works 36 hours per week, how m

fomenos

Answer:

27 hours

Step-by-step explanation:

Let her work "x" hours for paperwork

Since, patrolling amount of hours is THREE TIMES that,

Patrolling = 3x hours

Total Hours = 36

That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:

x + 3x = 36

4x = 36

x = 36/4

x = 9 hours

Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours

So, she spends 27 hours patrolling

4 0

2 years ago

What is the general form of the equation of the line shown? Y-2=0 y+2=0 X-2 = 0

Tatiana [17]

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line: y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

y = mx +b where m is the slope and b is the y-intercept.

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2 and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

6 0

1 year ago

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to

wolverine [178]

The function for conversions from Fahrenheit to Celsius is:

Celsius = (Fahrenheit - 32) x 5/9

C(76.1) = (76.1 - 32) x 5/9
= (44.1) x 5/9
= 24.5

Therefore, 76.1 degrees Fahrenheit = 24.5 degrees Celsius.

5 0

2 years ago

Read 2 more answers