If the side length of a square is doubled, the perimeter of the square is

Answer:

Total income is 60,000

Step-by-step explanation:

I. if paid rate is 30%, that's mean 42,000 is 70%

II. Perform ratio 70/100 = 42,000/x

                       70*x = 100 * 42,000

                        70x = 4,200,000

                            x = 60,000

III. If you perform 30/100 = x/60,000 will be 42,000

Sorry for late.

The measure of the indicated missing length of the triangle given above would be = 41.01 in.

To calculate the value of the missing length, the sine rule must be obeyed such as;

a/sinA = b/sinB

Where;

a = 29 in

A = 45°

b = AC = ?

B = 90°

That is;

29/sin45° = b/sin90°

make b the subject of formula;

b = 29×1/0.707106781

b = 41.01 in

Therefore the value of the missing length = 41.01 in

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The formulated Linear Program aims to minimize the objective function, which is the sum of production and inventory costs minus the revenue from selling the end-of-period inventory at month 4.

In this problem, we need to determine the optimal production and inventory levels over the four-month period to minimize costs and maximize revenue. We can formulate this as a linear programming problem with the following decision variables:

Let x1, x2, x3, x4 represent the production quantities for months 1, 2, 3, and 4, respectively.

Let y1, y2, y3, y4 represent the end-of-month inventory levels for months 1, 2, 3, and 4, respectively.

The objective function we want to minimize is:

Minimize: (5x1 + 8x2 + 4x3 + 7x4) + (2y1 + 2y2 + 2y3) - (15y4)

Subject to the following constraints:

1. Initial inventory: y1 = 15 (given)

2. Production capacity constraints:

  x1 <= 90 (month 1 capacity)

  x2 <= 75 (month 2 capacity)

  x3 <= 80 (month 3 capacity)

  x4 <= 50 (month 4 capacity)

3. Inventory balance equations:

  y1 + x1 - 50 = y2 (month 1)

  y2 + x2 - 65 = y3 (month 2)

  y3 + x3 - 100 = y4 (month 3)

  y4 + x4 - 70 = 0 (month 4, no carryover inventory)

4. Non-negativity constraints:

  x1, x2, x3, x4, y1, y2, y3, y4 ≥ 0

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Answer:

1.) You need to have the original temperature and the final temperature.

2.)

3.) The temperature decreased by 17 degrees between the early afternoon and the following morning.

We know the original temperature to be 10 degrees and the final temperature to be -7 degrees. To find the change in temperature we subtract the initial temperature from the final temperature -7 - 10 = -17. The question asks by how many degrees did the temperature drop. It is asking for the magnitude of the difference, so the answer is the above sentence.

True/False question cannot be answered with a "main answer". However, the archaeologists do believe that the cities of Sodom and Gomorrah were near the Dead Sea.

The location of Sodom and Gomorrah is a subject of debate among archaeologists and scholars. Some believe that they were located near the Dead Sea, while others propose different locations. However, the prevailing theory is that they were situated near the Dead Sea, which is a salt lake bordered by Jordan to the east and Israel and Palestine to the west.

The true/false question you have posed cannot be answered with a long answer as it is a binary question. However, if you want to know more about the archaeology and history of Sodom and Gomorrah, there is a wealth of information available online and in scholarly articles and books. The story of Sodom and Gomorrah is a biblical tale that recounts the destruction of two cities by God due to their wickedness. The story appears in both the Book of Genesis in the Hebrew Bible and in the Quran. Archaeological evidence suggests that there were settlements in the area of the Dead Sea around the time the story of Sodom and Gomorrah is said to have occurred, but there is no conclusive proof that these were the cities referred to in the Bible. Some scholars argue that the story is a myth, while others believe that there is a historical basis for it. Regardless of the veracity of the tale, the story of Sodom and Gomorrah has captured the imagination of people for centuries and continues to be a subject of scholarly inquiry.

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Answer:

75 %

Step-by-step explanation:

Total = 60

Boys = 15

Girls = 60-15

=> 45 girls

Percentage of Girls:

=> \(\frac{45}{60} * 100\)

=> \(\frac{450}{6}\)

=> 75 %

Answer:

75%

Step-by-step explanation:

There are 60 students in the classroom.

15 are boys.

Find the number of girls:

(total no. of students) - (no. of boys) = (no. of girls)

60 - 15

= 45

There are 45 girls in the classroom.

Find the percentage of girls in the classroom:

(no. of girls)/(total no. of students) × 100

45/60 × 100

9/12 × 100

900/12 = 75

The percentage of girls in the classroom is 75%.

Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

The volume generated by rotating the region bounded by x = y, x = 0, and y = 6 about the x-axis is 144π cubic units.

To find the volume generated by rotating the region bounded by the curves x = y, x = 0, and y = 6 about the x-axis using the method of cylindrical shells, we can set up an integral.

The cylindrical shells method involves integrating the product of the height of the shell, the circumference, and the thickness of the shell.In this case, the height of each cylindrical shell will be given by y, the circumference will be 2πx, and the thickness will be dx.

The limits of integration for x will be from 0 to 6 since the region is bounded by x = 0 and y = 6. The volume V can be calculated as follows: V =  \(\int\limits^0_6 2πx * y dx\)

Since x = y, we can rewrite the integral as: V = ∫2πx * x dx V = \(\int\limits^0_6 x dx\) Evaluating the integral: V =  \(\int\limits^0_6 2πx * y dx\) = 2π * [(18 / 3) - (3 / 3)] V = 2π * (216 / 3) V = 2π * 72 V = 144π

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Answer:

Each friend would get 1/7th of a pie.

Step-by-step explanation:

Jilly started with 4 pies, and her brother ate half of one pie, which means he ate 1/2 of a pie. So, Jilly has 3 and a half pies left, which is equal to 7/2 pies. If she wants to divide the pies equally among her 21 friends, she can divide 7/2 by 21 to find the fraction of the pie that each friend will get:

(7/2) ÷ 21 = 7/2 ÷ 21/1 = 7/2 x 1/21 = 7/42

Therefore, each friend would get 7/42 of a pie, which can be simplified to 1/6 or 1/7 (rounded to the nearest whole number). So, each friend would get 1/7th of a pie.

Answer: Choice A) cone

One way to picture this is to think of a propeller. As the propeller spins, it carves out a 3D space even though the blade is "2D" in a sense.

If we spin everything around segment BC, we get a 3D cone forming. The base of the cone is vertical and it has a radius of AC. The height of the cone is segment BC. It might help to rotate the paper 90 degrees clockwise so that BC is vertical.

Answer:

a) (1,1)

b) 2/3

I think this is correct

Answer:

Co-ordinates of point M are ( 1, 1)

Slope of median EM = -2/3

Step-by-step explanation:

X- axis interception points of 2x² - 2, x = 0: None

y- axis interception point of 2x²-2, x=0:

Y Intercepts: (0, - 2)

Answer: 1/2

Step-by-step explanation:

I took the ixl and I put 1/3 but it was actually 1/2

The fraction of books which had 200 or fewer pages is given by A = 1/2

A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.

A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.

It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.

Given data ,

Isabelle kept track of the number of pages in each book she read last summer

Now , let the box plot be represented as A

Now , the first and third quartile along with the median is given below ;

So , the fraction of books which had 200 or fewer books is given by A = 1/2

Hence , the box plot is solved and the fraction is A = 1/2

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Answer:

D) 7

Step-by-step explanation:

Tangents from the same external point are equal in length.

Add 7 on both sides.

Subtract 6x from both sides.

The correct option is D.

9514 1404 393

Answer:

  k = -50

Step-by-step explanation:

The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:

  6k -50 = 7k

Subtracting 6k from both sides of the equation leaves you with the solution:

  -50 = k

We can say that the increase in temperature that comes with an increase of 1 cycle per second in the rotation is 1.6 degrees Celsius, assuming that the constant rate of temperature increase remains the same for higher rotation speeds.

Based on the table, we can see that the engine's temperature increases by a constant rate as the rotation speed increases. To find the increase in temperature that comes with an increase of 1 cycle per second in the rotation, we can look at the difference in temperature between two adjacent rows where the rotation speed increases by 1 cycle per second.

For example, between the first two rows, the rotation speed increases from 11 to 1111 cycles per second, and the temperature increases from 23.8 to 25.4 degrees Celsius. The difference in temperature is 25.4 - 23.8 = 1.6 degrees Celsius. Therefore, we can say that the increase in temperature that comes with an increase of 1 cycle per second in the rotation is 1.6 degrees Celsius, assuming that the constant rate of temperature increase remains the same for higher rotation speeds.

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George's dog is approximately 32.41 meters away from its crate, if it ran 22 meters, turned and ran 11 meters, and then turned 120° to face its crate.

To determine the distance from George's dog to its crate after the described movements, we can use the concept of a triangle and trigonometry.

The dog initially runs 22 meters, then turns and runs 11 meters, forming the two sides of a triangle. The third side of the triangle represents the distance from the dog's final position to the crate.

To find this distance, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and angle C opposite side c, the equation is c² = a² + b² - 2abcos(C).

In this case, a = 22 meters, b = 11 meters, and C = 120°. Plugging these values into the equation, we have

c² = 22² + 11² - 2(22)(11)cos(120°).

Evaluating the expression, we get

c ≈ 32.41 meters.

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The arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

To discover the degree of the arc that represents the portion of Earth you'll be able to see from the hot air balloon, you'll be able utilize the concept of trigonometry.

To begin with, we got to discover the point shaped at the center of the Soil by drawing lines from the center of the Soil to the two endpoints of the circular segment. This point will be the central point of the bend.

The tallness of the hot discuss swell over the ground shapes a right triangle with the span of the Soil as the hypotenuse and the vertical separate from the center of the Soil to the beat of the hot discuss swell as the inverse side. The radius of the Soil is around 4000 miles, and the stature of the swell is 1.2 miles.

Utilizing trigonometry, able to calculate the point θ (in radians) utilizing the equation:

θ = arcsin(opposite / hypotenuse)

θ = arcsin(1.2 / 4000)

θ ≈ 0.000286478 radians

To discover the degree of the circular segment in degrees, we will change over the point from radians to degrees:

Arc measure (in degrees) = θ * (180 / π)

Arc measure ≈ 0.000286478 * (180 / π)

Arc measure ≈ 0.0164 degrees

Adjusted to the closest tenth, the arc degree representing the portion of Soil you'll see from the hot air balloon is around 0.0 degrees.

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The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Answer:

(-9, 9)

Step-by-step explanation:

\(6x^{2} +1 = 487\)                                             (Given)

       -1       -1                                     (Getting "x" alone)

\(6x^{2} = 486\)                                        (Cont. Getting "x" alone)

÷6      ÷6                                                           ↓

\(x^{2} = 81\)                                                              ↓

\(\sqrt{x} ^2 = \sqrt{81}\)                           (9 and -9 squared are both equal to 81)

↓             ↓                                                        ↓

x = 9      x = -9                                            (Answer)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

2

Step-by-step explanation:

i am not sur but 12 5 = 2?

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Answ

3xmas8

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

listo

Answer:

D) \(4*ln(2)\)

Step-by-step explanation:

Find the inverse function of f(x):

\(f(x)=log_2(2x)\)

\(y=log_2(2x)\)

\(x=log_2(2y)\)

\(2^x=2y\)

\(2^{x-1}=y\)

\(f^{-1}(x)=2^{x-1}\)

Take the derivative of the inverse function:

\(\frac{d}{dx}(f^{-1}(x))\)

\(\frac{d}{dx}(2^{x-1})\)

\(\frac{d}{dx}(e^{(x-1)(ln2)})\) <-- Logarithmic Differentiation

\(ln(2)*e^{(x-1)(ln(2))\)

\(ln(2)*2^{x-1}\)

Substitute x=3:

\(ln(2)*2^{3-1}\)

\(ln(2)*2^2\)

\(4*ln(2)\)

The band charged $6.25 for each CD.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, A local band spent $2,000 to record and make 400 CDs.

The total cost for the band to record and make 400 CDs was $2,000, which means that each CD cost them $5 to produce (2000/400 = 5).

If they made a profit of $500, that means their total revenue was $2,500 ($2,000 + $500 = $2,500).

To find out how much they charged for each CD, you can divide their total revenue by the number of CDs they sold:

$2,500 ÷ 400 = $6.25

Therefore, the band charged $6.25 for each CD.

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Answer:

958.990

Step-by-step explanation:

958.990 is the Round off to the nearest hundred.

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

The digit 5 acts as a limit.

If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

WE have to Round 958.989730738 to the nearest hundred.

Hence, 958.990 is the Round off to the nearest hundred.

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Answer:

B: 200 is the correct answer for your question.

Step-by-step explanation:

This was the question in my k12 semester test. Which i have done and B is the correct one.