What is the base of y=Inx

Answers

Answer 1

Answer:

The base is natural number e = 2.71828...

Step-by-step explanation:

By definition of natural log, the base is e = 2.71828...

Answer 2
Final answer:

The base of the function y = ln(x) is the irrational number e (approximately 2.71828).

Explanation:

The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.

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Related Questions

What is the radius of the circle with the following equation (x+1)²+ (y-3)²= 64? *

Answers

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.

Why is it important to describe the variable in an expression?

Answers

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

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. At the 0.01 significance level, test the claim that the mean is less than 10 minutes.

Answers

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:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

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

can someone plzzzzzzz help me
A spinner and two cards are shown below.

Which table correctly identifies the sample space of spinning the spinner and then selecting a card? (5 points)

Group of answer choices

Results of the spin

Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Green Red, Green
Green Green, Green Yellow, Yellow Red, Red

Results of the spin

Card Color Orange Yellow Red
Purple Orange, Green Yellow, Yellow Red, Red
Green Green, Purple Yellow, Green Red, Green

Results of the spin

Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Green, Green Yellow, Yellow Red, Red

Results of the spin

Card Color Orange Yellow Red
Purple Orange, Purple Yellow, Purple Red, Purple
Green Orange, Green Yellow, Green Red, Green

Answers

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}

The graph of which function has a y-intercept of 3? Picture A, B, C, or D?

Answers

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!

Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure. Step 1: Find the greatest common factor of the given lengths: 7 Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5 Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?

Answers

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:

WHAT IS THIS ANSWER

Answers

Answer:

15

Step-by-step explanation:

I beleive you just count the dots thats what i did

Answer:

ahskdhdidjdujdjdjej

Anika buys a pair of shin guards for $8.58 and several pairs of soccer socks for $4.29 per pair. If she spends $25.74 before taxes, how many pairs of socks does Anika buy?

Answers

Answer:

4

Step-by-step explanation:

easier answer

What steps should be taken to calculate the volume of the right triangular prism? Select three options.

A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters.

A. Use the formula A = one-half b h to find the area of the base.
B. Use the formula A = b h to find the area of the base.
C. The area of the base, A, is One-half (7) (8) = 28 meters squared.
D. The area of the base, A, is One-half (8) (14) = 56 meters squared.
E. The volume of the prism, V is (56) (7) = 392 meters cubed.

Answers

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:

A box is filled with 9 red crayons, 5 blue crayons, and 8 yellow crayons. A crayon is chosen at random from the box. Find the probability that it is a blue or a yellow crayon.

Answers

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

If I do this with 4 and 5 - I get 29. If I do the same thing with 4 and 6 - I get 40. Thesame thing again to 8 and 9 gives me 89. What do I get if I do the same thing to 5 and 8?

Answers

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

What is 1,289,845 rounded to the nearest thousand?

Answers

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! :)

you have 4 4/5 cups of rice. each serving of rice takes 2/5 of a cup. how many servings can you make?

Answers

Answer:

12 cups

Step-by-step explanation:

2/5 times 12 =4 4/5

Sorry, this answer was wrong.

The following graph shows the low temperatures for the past six nights. Which night had a low temperature of 26°F?
1. Thursday
2.Wednesday
3.Monday
4. Tuesday

Answers

Answer:

thursday

Step-by-step explanation:

miguel drove 355 miles using 17 gallons. at this rate , how many gallons of gas would he need to drive 284 miles

Answers

Answer:

14.2

Step-by-step explanation:

Answer:

It should be somewhere around 13.6

Step-by-step explanation:

This pizza has a radius of 4 inches . Which measurement is closest to the area of this pizza in inches?

Answers

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

For every 5 girls in mr hegarty class there are 4 boys what us the ratio of girls to boys in the class give your answer in its simplest form

Answers

Answer:5:4

Step-by-step explanation:

How many 1/3 cm cubes can fit in a rectangular prism with a length of 5 1/3 cm, a width of 2/3 cm and a height of 1 1/3 cm. PLEASE REPLY QUICKLY I HAVE TO SUBMIT THIS IN 30 MINUTES

Answers

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:


Do the following lengths form a right triangle?
​45, 117, and 125

Answers

Answer:

NOT

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]

D 0,1 of x is?
A. (4,0)
B. (4,1)
C. (5,1)
*20 points!!!*

Answers

Answer:

4,0

Step-by-step explanation:

Answer:

i can confirm it is 4,0

Step-by-step explanation:

A professional soccer player buys 16 acers of land. he plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. how many acres of land will the soccer player need for his soccer field and facility?

Answers

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.

The Thompson family borrowed $120,000
to buy a house. Over thirty years, they had
to repay 230% of what they borrowed. Find
the total cost of the house.

Answers

Answer:

27,600

Step-by-step explanation:

Gracie has 1/2 of a cantaloupe that she wants to divide. How many 1/10 's of a cantaloupe are there in 1/2 of a cantaloupe?

Answers

Final answer:

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.

Explanation:

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.

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The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?

Answers

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.

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Two forces act on an object. The first force has a magnitude of 360 newtons and acts at an angle of 30° as measured from the horizontal. The second force has a magnitude of 240 newtons and acts at an angle of 135° as measured from the horizontal. Determine the vector v that represents the resultant force.

Answers

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.

Pls help it’s easy but I been staring at this for 2 hours now pls help a lot of points and will give brainlyest

Answers

Answer:?

I have no idea sir sorry yt ;-;

Step-by-step explanation:

Jen rode her bike 1/5 of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?

Answers

Final answer:

Jen's speed is 0.04 miles per minute.

Explanation:

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.

Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?


A. 3/5

B. 4/5

C. 3/4

D.3/10

Answers

A. 3/5ths is the correct answer

a theater has 44 seats in the first row,46 seats in the second row,48 seats in the third row,and so on. how many seats are there in row 18?

Answers

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

What is the least common denominator of 1/12 and 5/8

Answers

the least common denominator is 24
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