Consider the graph of the function f(x) = ln x.
What is the domain of function g if g(x) = f(x) — 12?
A. {x| -∞ < x < ∞}
B. {x| 0 < x < ∞}
C. {x| 12 < x < ∞}
D. {x| -12 < x < ∞}

Answer:

320* 17 is greater than 335*12

Answer:

\(\huge\boxed{\sf FG = 20.3 }\)

Step-by-step explanation:

If two secants are drawn from a point outside the circle, then the formula used for it will be:

(FG + GH) × GH = (JI + IH) × IH

Given that IH = 29, JI = 23 and GH = 30

(FG + 30) × 30 = (23 + 29) × 29

(FG + 30) × 30 = 52 × 29

(FG + 30) × 30 = 1508

Divide both sides by 30

FG + 30 = 1508 / 30

FG + 30 = 50.3

Subtract 30 to both sides

FG = 50.3 - 30

FG = 20.3

\(\rule[225]{225}{2}\)

Hope this helped!

Accordingly, the screw can have a maximum length of   \(68.00 mm\) plus \(0.03 mm, or 68.03 mm\), and still pass inspection. This indicates that \(68.00 mm\) minus \(0.03 mm\)  , or  \(67.97 mm,\) is the smallest length the screw can have and still pass inspection.

Upper Limit: \(68.00 mm + 0.03 mm\)

This represents the upper bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is +0.03 mm.

Lower Limit: \(68.00 mm - 0.03 mm\)

This represents the lower bound of the allowable length variation for the screws. The nominal length of the screw is 68.00 mm, and the allowable tolerance is -\(0.03 mm.\)

Therefore, This means that the maximum length the screw can have and still pass inspection is \(68.00 mm + 0.03 mm\), which equals \(68.03 mm\). This means that the minimum length the screw can have and still pass inspection is \(68.00\) mm - 0.03 mm, which equals  \(67.97\) mm.

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Answer:

8/12

Step-by-step explanation:

8 is the number greater than 7

Answers:

a) 32500

b) 0.00604

c)  2.4 * 10^6

d) 1.47 * 10^(-3)

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

Explanation:

The exponent over the 10 tells us how many spaces to move right or left.  If the exponent is positive, we move right. If negative, we move left. Think of a number line.

For part (a), the exponent is 4. So we move the decimal point 4 spaces to the right.

The 3.25 then becomes 32500

--------------

In part (b), the exponent -3 means we move 3 spots to the left to go from 6.04 to 0.00604

---------------

Part (c)

Place the decimal point between the first two digits and erase the zeros to get 2.4

Then we need to move the decimal point 6 spots to the right to get back to 2,400,000 again

Therefore we can say 2,400,000 = 2.4*10^6

---------------

Part (d)

Place the decimal point just after the first nonzero digit, and erase the zeros to the left to get 1.47

We must move the decimal point 3 spots to the left to go from 1.47 back to 0.00147 again

It means 0.00147 = 1.47*10^(-3)

Answer: he is right

Step-by-step explanation:

We have that for the Question ,it can be said that the next 3 sequence is

Respectively

Generally

We notice that the difference between numbers in the sequence rises by 4

therefore

For the first differ

9-2=7

7+4=11

Hence

11+9=20

Generally

for the sixth value

4*5=20

20+7=27

27+77=104

Therefore

the next 3 sequence is

Respectively

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The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

72ft or 82ft

Step-by-step explanation:

It's too long for an explanation but it's defo NOT 4ft or 60ft.

Answer:

Step-by-step explanation:

5x + 9 = 3x + 11 ( Alternate angles )

5x - 3x = 11 - 9

2x = 2

x = 2/2

x = 1

Hope this helps

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If 'n' passenger are there the probability that the last passenger will take the right seat is \(\frac{1}{2}\) .

We can use a much lesser number for the number of passengers boarding the plane to solve this issue.

Let's assume that there are just two passengers and that seat numbers A and B are assigned to the first and second passengers, respectively, when they board the aircraft.

The second passenger will choose seat B if the first passenger, who misplaced his ticket, chooses seat A. The second passenger is seated in the proper place in this instance. The second passenger will have to take seat A if the first passenger, who misplaced his ticket, chooses seat B. In this instance, the second passenger is seated incorrectly. We can see that if there are only two passengers, there is a\(\frac{1}{2}\) probability that the second person, who is the last, will take the right seat.

The allotted seats for the first passenger, the second passenger, and the third passenger are A, B, and C, respectively, for a plane with only three passengers.

Scenario 1:

If the first passenger, who misplaced his ticket, chooses seat A, the second and third passengers will choose seats B and C, respectively.

Scenario 2:

If the first passenger chooses seat B, the second passenger will either choose seat A or C. If he chooses seat A, the third passenger will occupy seat C, which is where he is supposed to be. However, if passenger number two chooses seat number C, then passenger number three will choose seat number A, which is the incorrect seat.

Scenario 3:

If the first passenger chooses seat C, the third passenger will be seated in the incorrect seat no matter which seat the second passenger chooses.

The probability that the third person, or the last person, will occupy the appropriate seat is \(\frac{1}{3}\) in Scenario 1,  \(\frac{1}{3}\times \frac{1}{2}\) = \(\frac{1}{6}\) in Scenario 2, and 0 in Scenario 3. The total likelihood is therefore \(\frac{1}{3}+ \frac{1}{6}+0=\frac{2}{6}+ \frac{1}{6}=\frac{3}{6} =\frac{1}{2}\) .

As we can see, the probability that the last passenger will take the right seat is \(\frac{1}{2}\) regardless of how many passengers board the aircraft.

Therefore, If 'n' passenger are there the probability that the last passenger will take the right seat is \(\frac{1}{2}\) .

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Answer:

a²b²

Step-by-step explanation:

Variables cancel out when they are divided by itself because they represent the same thing.

a³ / a = a²

b^4/b² = b²

Thus, the final answer is a²b².

Answer:

Step-by-step explanation:

The longest side of the given trapezoid is 14 units as per picture.

The ratio or scale factor is 2/7.

The new figure's corresponding side will have the length:

Answer:

49 see image

Step-by-step explanation:

When you are shrinking or enlarging your shape, be sure to compare the same things in the same order. Here we just kept putting the original length of the side on top and the new length of the side on the bottom. 2/7 is what they said to make the enlargement. The original length if the longest side was 14. So the 14 goes on top where we were putting the original lengths and x (bc we dont know it yet) is the new length that goes on the bottom of the fraction (it's a ratio, written like a fraction, so we can do mathy work on it). See image.

Answer:

traducir mi respuesta al español si es necesario

1/8

Step-by-step explanation:

lets start with the basics 1/2 of 3/4 to do it we multiply the fractions

1        3         3

    x  

2        4           8

the answer to that problem was 3/8 if u still dont understand multiplying fractions you can look it up and put on spanish subtitles

now to find 1/3 of 3/8 we do the same thing

1       3

    x

3       8        

we get 3/24 we can make the number smaller by reducing it. you can look up a video on reducing

Candice grows beets on 66 acres of farmland.

A ratio indicates the number of times one number contains another.

Given that, Candice has 88 acres of farmland and she grows beets on 3/4 of the land.

Candice grows beets on 3/4 of 88 acres of farmland,

3/4 of 88

= 3/4×88

= 66

Hence, Candice grows beets on 66 acres of farmland.

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Answer:

10, 15, 20, 20, 25, 25, 25, 30, 30, 100

And we want to find the best represent the center of the results and for this case we can see the range given by:

\( Range = Max -Min = 100-10=90\)

And if we find the mean we got:

\( \bar X = \frac{\sum_{i=1}^n X_i}{n} =30\)

But since the range is a large value it's better to use the median as a central measure tendency and we got:

\( Median = \frac{25+25}{2}=25\)

And this would be the best measure of centra tendency for this case

Step-by-step explanation:

For this case we have the following info given:

10, 15, 20, 20, 25, 25, 25, 30, 30, 100

And we want to find the best represent the center of the results and for this case we can see the range given by:

\( Range = Max -Min = 100-10=90\)

And if we find the mean we got:

\( \bar X = \frac{\sum_{i=1}^n X_i}{n} =30\)

But since the range is a large value it's better to use the median as a central measure tendency and we got:

\( Median = \frac{25+25}{2}=25\)

And this would be the best measure of centra tendency for this case

The series for this problem is absolutely convergent, as the limit assumes a value lower than 1.

The infinite series for this problem is defined as follows:

\(\sum_{i = 1}^{\infty} \frac{1}{n!}\)

Hence the general term is given as follows:

\(a_n = \frac{1}{n!}\)

The limit is given as follows:

\(L = \lim_{n \rightarrow \infty} \left|\frac{a_{n + 1}}{a_n}\right|\)

The (n + 1)th term is given as follows:

\(a_{n + 1} = \frac{1}{(n + 1)!}\)

The factorial can be simplified as follows:

(n + 1)! = (n + 1) x n!.

Hence the limit will be calculated of:

1/[(n + 1) x n!] x n! = 1/(n + 1).

The result of the limit is given as follows:

\(L = \lim_{n \rightarrow \infty} \frac{1}{n + 1} = 0\)

As the limit assumes a value of zero, the series is absolutely convergent.

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Step 1

Find the number of windows on each floor

In a large building, there are 10 floors, each floor has the following;

Step 2

Find the number of windows in a large building

Step 3

Find the cost the cleaning contractor will take to clean the windows in each building.

Step 4

Find the cost of cleaning all the windows in 22 large buildings

Hence, the cost of washing all windows in the 22 large buildings = $31,680

A system of the equation to be Dependent Consistent System the system must have multiple solutions. The correct option is C.

Inconsistent System

A system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

A system of the equation to be Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

A system of the equation to be Independent Consistent System the system must have one unique solution for which the lines of the equation must intersect at a particular.

For the system of equations to have infinite number of solutions, the lines of the equations must coincide, therefore, the line must overlap on each other.

For the lines to overlap the equations must be in a ratio. Therefore, the ratio of the left sides of the equations must be equal to the right side,

\(\dfrac{35x+14y}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac{7(5x+2y)}{5x+2y} = \dfrac{119}{k}\\\\\\\dfrac71 = \dfrac{119}{k}\\\\k = 17\)

Hence, the value of k must be 17, therefore, the correct option is C.

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Answer:

1.c

2.b

3.a

4.d

5.c

Step-by-step explanation:

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Answer:

Kindly check explanation

Step-by-step explanation:

Assuming a normal distribution :

Sample (x) :25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

α = 0.05

Decision region :

Reject Null if :

t0 > t

t can be obtained from the t distribution table at : df = (n - 1) = 10 - 1 = 9 ; α = 0.05

Hence, t(0.05, 9) = 1.833

From the sample given ; t0

t0 = (m - μ) / (s /√n)

n = sample size = 10

s = sample standard deviation

m = sample mean

Using calculator :

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, 25.7

Sample mean(m) = 26

Sample standard deviation (s) = 1.624

t0 = (26 - 25) / (1.624 /√10) = 1.947

1.947 > 1.833

Hence, reject Null

B)

Confidence interval at 90% ; α = 0.1

m ± t(0.1/2 ; 9) * s/√n

m - t * s/√n ≤ μ ≤ m + t * s/√n

26 - 1.833 * (1.624/√10) ≤ μ ≤ 26 + 1.833 * (1.624/√10)

25.059 ≤ μ ≤ 26.941

Answer:

The answer is B. 0.435,0.436,0.462,0.478

Step-by-step explanation:

:)

Answer:

y = -2x + 5

Step-by-step explanation:

Points on the path: (0, 5) and (1, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-5)/(1-0)

m= (-2)/1

m= -2

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -2(x - 0)

y - 5 = -2x

y = -2x + 5

Answer:

There are 18 pictures on the wall

Step-by-step explanation:

6 x 3 = 18

there is no way that simple multiplication is college level.

May I have brainliest please? :)

Answer: 5/8

Step-by-step explanation: There are 8 members. Out of 8, there are 5 people's weight that are higher than 135. Therefore the answer is 5/8.