36x^4/ 42x^7
Rational expressions
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PLEASE HELP! :)

Answer: Leon was wrong by using the greatest common factor to determine that the numbers are a Pythagorean triple.

Step-by-step explanation: The numbers that Leon used in his calculations which are, 21, 28, and 35 are actually a Pythagorean triple and this can be determined by using the Pythagoras' theorem which states that,

AC² = AB² + BC²

Where AC is the longest side, and AB and BC are the other two sides.

Substituting for the given values, we now have

35² = 28² + 21²

1225 = 784 + 441

1225 = 1225

Since both sides of the equation are equal, we can conclude that the numbers form a Pythagorean triple.

However, dividing the numbers by their greatest common factor does not prove that it is a Pythagorean triple. This process cannot be successfully applied to other Pythagorean triples, and is best described as a chance event.

For example, the numbers 21, 20 and 29 are Pythagorean triples and they have no common factor. Similarly, 6, 8 and 10 are also Pythagorean triples and their greatest common factor is 2. This too is not sufficient to prove that they form a Pythagorean triple.

The only prove that is sufficient enough is to substitute the numbers into the Pythagoras theorem as stated in the calculation above, and the result must show the left hand side of the equation to be equal to the right hand side of the equation.

Answer:

it’s C tell me if I’m right or wrong

Step-by-step explanation:

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = [tex]\frac{1}{2}(\text{Base})(\text{height})[/tex]

                                                      = [tex]\frac{1}{2}(8)(14)[/tex]

                                                      = 56 m²                                                    

                   Volume of the prism = [tex](56)(7)[/tex]

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

Answer:

a,d, and e

Step-by-step explanation:

Answer: 69

Step-by-step explanation:

If I do this with 4 and 5 - I get 29.

This can be explained as this:

4 + (5^2) = 4 + 25 = 29

If I do the same thing with 4 and 6 - I get 40. This can be explained as:

4 + (6^2) = 4 + 36 = 40

Thesame thing again to 8 and 9 gives me 89. This can be explained as:

8 + (9^2) = 8 + 81 = 89

What do I get if I do the same thing to 5 and 8. This will be:

5 + (8^2) = 5 + 64 = 69

Answer:

15

Step-by-step explanation:

I beleive you just count the dots thats what i did

Answer:

ahskdhdidjdujdjdjej

Jen's speed is 0.04 miles per minute.

To find Jen's speed, we need to divide the distance she traveled by the time it took her to get there. In this case, Jen traveled 1/5 of a mile and it took her 5 minutes. To find her speed in miles per minute, we divide the distance (1/5 mile) by the time (5 minutes):

Speed = Distance ÷ Time

Speed = 1/5 mile ÷ 5 minutes

To simplify the calculation, we can convert 1/5 mile to a decimal by dividing 1 by 5:

1/5 = 0.2

Now we can divide 0.2 by 5 to find Jen's speed:

0.2 ÷ 5 = 0.04

Therefore, Jen's speed is 0.04 miles per minute.

Answer:

1,290,000

Step-by-step explanation:

Answer:

1,290,000

Step-by-step explanation:

If we are rounding to the nearest thousand, then we are finding the number in the hundredth's and rounding it.

From 1-9 If it's less than 5, round down. If it's 5 or more, round up.

At this case, it is 8 in the hundredths and nine in the thousandths. Since 8 is 5 or greater, you round it up to 1000, but the thousandth's place has a nine, which nine plus 1 is 10.

Therefore, 1,289,845 rounded up is 1,290,000.  

I hope this helped! :)

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let [tex]\mu[/tex] = mean waiting time for bus number 14.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 10 minutes    {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

                       T.S. =  [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex]  ~ [tex]t_n_-_1[/tex]

where, [tex]\bar X[/tex] = sample mean waiting time = 7.8 minutes

             s = sample standard deviation = 2.5 minutes

             n = sample of different occasions = 18

So, test statistics =  [tex]\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }[/tex]  ~ [tex]t_1_7[/tex]

                              =  -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.

At the null hypothesis, it is tested if the mean is of at least 10 minutes, that is:

[tex]H_0: \mu \geq 10[/tex]

At the alternative hypothesis, it is tested if it is less than 10 minutes, that is:

[tex]H_1: \mu < 10[/tex]

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 7.8, \mu = 10, s = 2.5, n = 18[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{7.8 - 10}{\frac{2.5}{\sqrt{18}}}[/tex]

[tex]t = -3.73[/tex]

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a 0.01 significance level and 18 - 1 = 17 df is of [tex]t^{\ast} = -2.57[/tex]

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is enough evidence to support the claim that the mean is less than 10 minutes.

A similar problem is given at https://brainly.com/question/13873630

Answer:

4

Step-by-step explanation:

easier answer

The center-radius form is: (x−h)^2+(y−k)^2=r^2

Knowing this, all we need to do is square root the 64 to get 8 as your radius.

Answer:

13/22

Step-by-step explanation:

The total number of crayons in the box

9 red crayons, 5 blue crayons, and 8 yellow crayons = 22

The number that are blue or yellow = 5+8 = 13

P (blue or yellow) = number that are blue or yellow / total

                             = 13/22

Answer:

13/22

Step-by-step explanation:

Total: 9 + 5 + 8 = 22

Blue or yellow: 5 + 8 = 13

P(Blue or yellow) = 13/22

Answer:

5

Step-by-step explanation:

The customer paid $7.53 for the item

Markup is the difference between a product's selling price and cost as a percentage of the cost. It is given by:

[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\[/tex]

Markup = 115% = 1.15, cost price = $3.50, hence:

[tex]Markup=\frac{selling\ price-cost\ price}{cost\ price} \\\\1.15=\frac{selling\ price-3.5}{3.5} \\\\Selling\ price=\$7.53[/tex]

Hence the customer paid $7.53 for the item.

Find out more at: https://brainly.com/question/20548779

Answer:

thursday

Step-by-step explanation:

Step-by-step explanation:

Total rows = 18

This is a even number sequence so

44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78

So 78 seats are in row 18

Answer:5:4

Step-by-step explanation:

Answer:

The area is 50.24

Step-by-step explanation:

Area of a circle is

A = πr²

A = 3.14 x 4²

A = 3.14 x 16

A = 50.24

To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, you divide 1/2 by 1/10. The answer is 5.

To find out how many 1/10's of a cantaloupe are there in 1/2 of a cantaloupe, we can divide 1/2 by 1/10. Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction. So, we have (1/2) * (10/1) = 10/2 = 5. Therefore, there are 5 1/10's of a cantaloupe in 1/2 of a cantaloupe.

https://brainly.com/question/18511795

#SPJ3

Answer:

14.2

Step-by-step explanation:

Answer:

It should be somewhere around 13.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\text{If}\ a\leq b<c\ \text{and}\ a^2+b^2=c^2,\ \text{then}\ a,\ b\ \text{and}\ c\ \text{form a right triangle.}\\\\\text{We have:}\\\\a=45,\ b=117,\ c=125\\\\\text{substitute}\\\\a^2+b^2=45^2+117^2=2025+13689=15714\\\\c^2=125^2=15625\\\\a^2+b^2\neq c^2\\\\\text{Therefore your answer is}\ \bold{NO}[/tex]

Answer:

12 cups

Step-by-step explanation:

2/5 times 12 =4 4/5

Sorry, this answer was wrong.

Answer:

You could fit 48 cubes with side lengths of 1/3 cm inside a rectangular prism with dimensions of 1 cm X 2 2/3 cm X 2/3 cm.

Step-by-step explanation:

Answer:377.46 N

Step-by-step explanation:

Given

Vector 1 has a magnitude of [tex]360\ N[/tex] and makes an angle of [tex]30^{\circ}[/tex]

vector 2 has a magnitude of [tex]240\ N[/tex] and makes an angle of [tex]135^{\circ}[/tex]

Net Horizontal force

[tex]\sum F_h=360\cos 30+240\cos 135[/tex]

[tex]\sum F_h=311.769-169.70[/tex]

[tex]\sum F_h=142.069\ N\quad \ldots(i)[/tex]

Net vertical force

[tex]\sum F_v=360\sin 30+240\sin 135[/tex]

[tex]\sum F_v=180+169.705[/tex]

[tex]\sum F_v=349.705\ N\quad \ldots(ii)[/tex]

Net resultant force

[tex]F_{net}=\sqrt{F_h^2+F_v^2}[/tex]

[tex]F_{net}=\sqrt{(142.069)^2+(349.705)^2}[/tex]

[tex]F_{net}=377.46\ N[/tex]

angle which resultant make with x-axis

[tex]\tan \theta =\frac{\sum F_v}{\sum F_h}[/tex]

[tex]\tan \theta =\frac{349.705}{142.069}[/tex]

[tex]\tan \theta =2.461[/tex]

[tex]\theta =67.88^{\circ}[/tex]

Thus vector v is given by

[tex]\vec{v}=377.46[\cos 67.88+\sin 67.88][/tex]

Answer:

B) [tex]v=(180\sqrt{3} -120\sqrt{2})i+(18 0+120\sqrt{2} )j[/tex]

Step-by-step explanation:

I just did the test and this is the correct answer.

Answer:

27,600

Step-by-step explanation:

Answer:

4,0

Step-by-step explanation:

Answer:

i can confirm it is 4,0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The professional soccer player buys 16 acres of land.

He wants to use [tex]\frac{2}{8}[/tex] of the land to put his own soccer field and facility on.

All we have to do is find [tex]\frac{2}{8}[/tex] of 16 acres.

[tex]\frac{2}{8}[/tex] of 16 acres:

[tex]\frac{2}{8}[/tex] * 16 = 4 acres

He will need 4 acres out of the 16 acres for his soccer field and facility.

Answer:?

I have no idea sir sorry yt ;-;

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is the only one that intersects with the y axis at the value 3.

hope this helps :)

Answer:

The answer is the first graph!

Answer: They show numerical value. You have to make them clear.

Step-by-step explanation:

Answer:

you define it, and it lets you know how to properly write the equation. ... If you want to solve for the unknowns using mathematical equations it is necessary to define the unknown variables i.e. what they represent in the real world so that the known relationships can be expressed in equation form

Step-by-step explanation:

its basically a value that can hold and amount depending on the value you give it

Answer:

it the last one

Step-by-step explanation:

only the last option has all the possible combinations

Answer:

Sample space:

{Yellow Purple,

Yellow Green,

Orange Purple

Orange Green,

Red Purple,

Red Green}