which of these could be the graph of f(x)=ln x +2

Answer:

12 cubic meters

Step-by-step explanation:

Answer:

first one is correct

Step-by-step explanation:

length of a rectangle = 2b - 8c

breadth of a rectangle = 10b + 6c

now , formula to calculate the perimeter of rectangle is

p = 2 (l + w)

no substitute the value of l(length) and w(width)

p = 2{(2b - 8c) + (10b + 6c)}

p = 2(2b - 8c + 10b + 6c)

p = 2(12b - 2c)

p = 24b - 4c

Answer:

That looks awfully confusing. But 204 is a hint

Step-by-step explanation:

Answer:

isocles

Step-by-step explanation:

The sides are not equal

Answer:

Yes it is congruent by HL

Answer:1.5

Step-by-step explanation:

If Scarlet Company received an invoice for $53,000.00 that had payment terms of 3/5 n/30 and made a partial payment of $16,800.00 during the discount period, the balance of the invoice is $34,610.

To calculate the balance of the invoice, follow these steps:

Therefore, the balance of the invoice is $34,610.

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The 99% confidence interval for the population mean of seasonal pine saplings' heights is [266.98, 305.02] millimetres.

To calculate the confidence interval, we can use the formula:

sample mean ± (critical value) x (standard error)

The critical value for a 99% confidence level with 20 degrees of freedom (n-1) is 2.831. The standard error can be calculated as the population standard deviation divided by the square root of the sample size, which gives us 22 / sqrt(21) = 4.79.

Substituting these values into the formula, we get:

286 ± 2.831 x 4.79 = [266.98, 305.02]

Therefore, we can be 99% confident that the true population mean of seasonal pine saplings' heights falls within this interval.

In simpler terms, this means that if we were to take 100 random samples of 21 seasonal pine saplings and calculate the confidence interval for each sample using the same method, 99 of those intervals would contain the true population mean. This also means that there is a 1% chance that our interval does not contain the true population mean.

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If there is at-least one-song liked by those two girls but disliked by the third, then the "different-ways" this is possible is 132 ways.

There are ⁴C₃ ways to choose the "3-songs" which are liked by "3-pairs" of girls.

There are 3! ways to find the three songs are liked by which pair of girls.

In total, there are ⁴C₃×3! possibilities for the first "3-songs".

There are "3-cases" for fourth song, let that song be "D".

Case 1: Song "D" is disliked by all three girls means there is only one possibility.

Case 2: Song "D" is liked by exactly one girl means there are three possibility.

Case 3: Song "D" is liked by exactly two girls means there are three pairs of girls to choose from.

However, there is an overlap when "other-song" is liked by "same-pair" of girl is counted as "fourth-song" at some point, in which "case-D" will be counted as one of first "three-songs" liked by same girls.

Counting the overlaps, there are "three-ways" to choose pair with overlaps and 4×3=12 ways to choose what the other "two-pairs" like independently.

In total, there are 3×12=36 over-lapped possibilities,

Therefore, there are ⁴C₃ × 3! ×(3+1+3)-36 = 132 ways for the songs to be likely by the girls.

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Answer:

Area of Shaded Region: 189 square centimeters

Step-by-step explanation:

~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~

1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2

2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by   ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2

3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2

Area of Shaded Region: 189 square centimeters

a) The area of the first circle is approximately 254.34 square inches

b) The area of the second circle is approximately 70650 square inches.

a) The area of a circle can be calculated using the formula A = πr², where π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

For the first circle with a diameter of 18 inches, we can find the radius by dividing the diameter by 2:

r = 18/2 = 9 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 9² = 254.34 square inches

Therefore, the area of the first circle is approximately 254.34 square inches.

b) For the second circle with a diameter of 25 feet, we need to convert the diameter to inches, since our formula uses radius in inches:

25 feet = 25 x 12 inches = 300 inches

Then we can find the radius by dividing by 2:

r = 300/2 = 150 inches

Now we can calculate the area using the formula:

A = πr² = 3.14 x 150² = 70650 square inches

Therefore, the area of the second circle is approximately 70650 square inches.

Note that the units for the second calculation are in square inches, not square feet, because we used the formula that requires radius in inches.

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Answer:

It equals 0

Step-by-step explanation:

Hope it helps!

There are 19/9 ounces in each sprinkle of sundae

From the question, we have the following parameters that can be used in our solution:

Number of sundaes = 4

Ounces of sprinkles = \(8\frac49\) ounces

From the above parameter, we can calculate the amount of sprinkles using the constant of proportionality formula

This is represented as

Ounces per sprinkle = Ounces of sprinkles/Number of sprinkles

Substitute the known values in the above equation

So, we have the following equation

Ounces per sprinkle = \(8\frac49\)/4

Evaluate the quotient

Ounces per sprinkle = 19/9

Hence, the ounces per sprinkle is 19/9 ounces

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Let x be the cost of a hot dog and y be the cost of a cheeseburger. Then we can set up the following system of equations:

3x + 2y = 31.25

5x + 2y = 41.75

We can solve for one of the variables by subtracting the first equation from the second:

5x + 2y - (3x + 2y) = 41.75 - 31.25

2x = 10

x = 5

Substituting x = 5 into either of the equations above gives:

3(5) + 2y = 31.25

15 + 2y = 31.25

2y = 16.25

y = 8.125

Therefore, a hot dog costs $5 and a cheeseburger costs $8.125.

86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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The general convention is to reject a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect. This is False.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

After a performing a test, scientists can reject the null hypothesis meaning there is a definite, consequential relationship between the two phenomena

In this case, the convention is to accept a hypothesis if your data analysis indicates that there is a probability that a hypothesis is incorrect.

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Answer:

80%

Step-by-step explanation:

4 divided by 5 = 0.8

0.8 x 100 = 80%

The percentage Larry ran around the track = 80%  

He ran 4/5 of the way around the track before slowing down for a walk.

This means he ran 4 parts of the whole 5 parts of the track. He walks the remaining 1 part around the track.

Therefore, the percentage he ran can be calculated below

% he ran the track = 4 / 5 of 100

% he ran the track = 4 / 5 × 100 = 400 / 5 =  80%

The percentage he ran around the track  = 80%

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a. Drive Co.'s revenue function R(X) = (-x^2/5)-247x.

b. The price per drive when revenue is maximized is $370.6.

c. The maximum profit made from the sale of these drives if Drive Co. incurs production costs of $179 per drive and has fixed costs of $250 is $6030.

What is a function?

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.

Drive Co. sells portable 905 hard drives when the price is $66/drive and can sell 800 hard drives when the price is $87/drive.

Let p be the price of hard drive and x be the number of hard drives.

When x = 905, then p = 66.

So, (x1,p1) = (905,66)

Similarly, when x = 800, then p = 87.

So, (x2,p2) = (800,87)

So, the equation of line between x and p is given as -

p-p1=[(p2-p1)/(x2-x1)}(x-x1)

Plugging in the values -

p-66=[(87-66)/(800-905)](x-905)

p-66=(21/-105)(x-905)

-105p+6930=21x-19005

-105p-21x=-19005-6930

-105p-21x=-25935

p=(-21x/105)-247

p=(-x/5)-247

So, the price function p(x) = (-x/5)-247.

Now, derive the revenue function -

Revenue = Number of drives × price per drive

Revenue = x · p(x)

Revenue = x · (-x/5)-247

Revenue = (-x^2/5)-247x

Therefore, the revenue function R(x) = (-x^2/5)-247x.

For maximum revenue -

dR/dx = R'(x) = 0 and R''(x)<0

dR/dx = -2x/5-247 = 0

-2x/5 = 247

x = -1235/2

x = -617.5

Therefore, the number of drives at maximum revenue is 618 drives.

The price per drive is -

p(618) = {-618/5}-247

p(618) = -370.6

Therefore, the price per drive is $370.6.

Now, the profit S(x) = Revenue R(x) - Total Cost C(x)

C(x) = fixed cost + variable cost

Variable cost = number of drives × price per drive

C(x) = 250 + 179x

Substituting the values -

S(x) = [(-x^2/5)-247x] - [250+179x]

S(x) = (-x^2/5)-68x-250

In order to get maximum profit differentiate the equation and equate it to 0.

dS/dx = 0

dS/dx = -2x/5-68 = 0

-2x/5 = 68

x = 340/-2

x = -170

d^2S/dx^2 = -2/5<0

So, maximum profit will be at x = 170.

S max = S(170) = [(170)^2 /5] - 68 (170) - 250

= 5780 - 11560 - 250

= -6030

Therefore, the maximum profit earned is $6030.

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what is the value of z

what is the value of x

what is the value of y

?

Answer:

11

Step-by-step explanation:

To convert kg to pounds you would multiply 5×2.205 which would equal 11.02500. If we round it would be 11

Answer:

?

Step-by-step explanation:

Without knowing number of aunts how can we split?

Or I don't understand the question , Anyone can solve ??

Answer:

So, the sum of the 3 angles in a triangle is 180.

What you would do is:

180= 73+6x-4+7x+7.

Then, you add the common coefficients:

180=76+13x

Then you subtract:

104=13x

Then you divide:

x=8.

Then substitute the x value into the A value to get 44, meaning that C is the correct answer.

Answer:

1.) $54

2.) $21 left

3.) 15 tigers

Step-by-step explanation:

1.) If the original price of an item was $60, and it was reduced by 10%, that means it is now being sold at 90% of its original value.

To find out the new price, simply take the original value and multiply it by 90% (as a decimal).

60*.90=54

So the new price is $54

2.) This is simple subtraction. If you spend $45 on some CDs and $12 on a t-shirt, you spent a total of $57. Subtract $57 from your total of $78.

78-57=21

You are left with $21

3.) Ratios are all about multiplication. If the ratio of lions to tigers is 3:5, that means that the number of lions is going to be any factor of 3, as long as it corresponds to the same factor of 5 for the tigers.

For example, if there are 9 lions, there must be 15 tigers.

3*3=9

5*3=15

There are 15 tigers

Answer:

See below

Step-by-step explanation:

(a+b)2  =  a^2  + 2ab + b^2      does not equal   a^2 + b^2

Why the 2 ab?

(a+b) ^2   = (a+b)(a+b)    <====expand this:

                 = a^2  + ab   + ab + b^2   = a^2 + 2ab + b^2

Explain the difference between \(a^{2} +b^{2}\) versus \((a+b)^{2}\):

The first squares the numbers before adding. The second adds the two numbers before squaring.

One way to test this, lets make a = 2 and b = 3

\(a^{2} +b^{2}\)

\(2^{2} +3^{2}\)

= (2 * 2) + (3 * 3)

4 + 9

= 11

\((a+b)^{2} \\(2+3)^{2} \\= (2+3)(2+3)\\ =5 * 5\)

= 25

And we know that 11 ≠ 25.

In 1995, an early social media pioneer implemented the freemium business model, offering users the ability to create web pages within a community (topic) by providing basic services for free and charging for additional features.

In 1995, GeoCities introduced the freemium business model to the social media landscape. GeoCities allowed users to create personalized web pages with text and pictures within various thematic communities. The freemium model offered basic services for free, allowing users to create and host their web pages. However, GeoCities also provided additional features and enhancements for which users had to subscribe and pay.

This business model proved to be successful as it attracted a large user base and allowed GeoCities to generate revenue from subscribers who wanted access to premium features. By offering a free platform with limited functionality and enticing users with paid upgrades, GeoCities capitalized on the concept of the freemium model, providing a valuable interest while monetizing certain aspects of it.

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there are 128 different bit strings of length 7. To calculate the number of bit strings of length 7, we need to consider that each position in the bit string can either be 0 or 1.

Since there are 7 positions in the string, we have 2 options (0 or 1) for each position. Therefore, the total number of bit strings of length 7 is 2^7 = 128.To calculate the number of bit strings of length 7 that start with 0110, we need to fix the first four positions as 0110. The remaining three positions can have either 0 or 1, giving us 2 options for each position. Therefore, the total number of bit strings of length 7 that start with 0110 is 2^3 = 8.

To calculate the number of bit strings of length 7 that contain the string 0000, we need to consider the possible positions for the string 0000. It can occur in five different positions: at the beginning, at the end, or in any of the three middle positions. For each position, the remaining three positions can have either 0 or 1, giving us 2 options for each position. Therefore, the total number of bit strings of length 7 that contain the string 0000 is 5 * 2^3 = 40. However, we need to subtract the cases where the string 0000 occurs in both the beginning and end positions, as they were counted twice. So, the final answer is 40 - 24 = 16.

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Answer:

|a|=42+72+(−4)2−−−−−−−−−−−−−√

=16+49+16−−−−−−−−−−√

=81−−√

=9

Step-by-step explanation:

Find the dot product

a⋅b=(4,7,−4)⋅(3,−1,1)

=4⋅3+7⋅(−1)+(−4)⋅1

=12−7−4

=1

Find the magnitude of a

|a|=42+72+(−4)2−−−−−−−−−−−−−√

=16+49+16−−−−−−−−−−√

=81−−√

=9

Scalar projection of b on to a is given by

compab=a⋅b|a|

Substitute the values of the a⋅b and |a|, to get

compab=19

Vector projection of b onto a is given by

projab=[compab]a|a|

Substitute the values of the compab and |a|, to get

projab=[19](4,7,−4)9=(481,781,−481)

Result: compab=19projab=(481,781,−481)

The surface area of that part of the plane 10x+7y+z=4 inside the elliptic cylinder x^2/25+y^2/9=1 is equal to πab, where a=5 and b=3. Therefore, the surface area is equal to 45π.

Total area on a three-dimensional shape's surface is known as surface area. The surface area of a cuboid with six rectangular faces can be calculated by adding the areas of each face. Alternatively, you can write down the cuboid's length, width, and height and use the formula surface area (SA)=2lw+2lh+2hw.

The general formula for a cube's surface area is as follows: The area of the base plus the area of the cube's vertical surfaces will add up to the cube's total surface area. The cube's total surface area is calculated using the formula 6a2, where an is the side length.

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Answer:

odd; even; even; odd

Step-by-step explanation:

The answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We know when the graph is symmetric about the origin it is an off function.

When the graph is symmetric about the y axis it is an even function.

When f(-x) = f(x) it is an even function

When f(-x) = -f(x) it is an odd function.

Thus, the answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.

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