What is the meaning of "\( X\cap Y=\bigcap \left \{ X,Y \right \}\)"?

From the question we are given

Annual total cost in $ is given by

And an Annual total revenue in $ is given as

Where x is the number of pairs of boots sold

We are to find the profit function

Using the detains given we have

Profit function P(x) is

Therefore,

Therefore, the profit function is

Next we are to find determine the number of pair of boots that will maximize annual profit

Plotting the graph of the Profit function we have

Hence, at maximum we have the points (50, 6400)

Therefore, x = 50

This implies that the number of boots that will maximize the annual profit is 500

Answer:

B. 96

Step-by-step explanation:

The pattern doubles for each number so 6 doubles to 12. 12 doubled is 24... ect

so to find the answer we just double 48 :

48 X 2 = 96

Answer:

396

Step-by-step explanation:

The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

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Answer:

The third one, with the sideways "z" shape.

Step-by-step explanation:

When folded, this net shape will become the new figure.

The smaller of the triangle’s two acute angles is 65 degrees

Less than 90 degrees is the acute angle measurement. Right angles are 90 degrees in length. Angles that are obtuse are more than 90 degrees. Discover the various sorts of angles and examples of each.

Given:

Angles in a triangle

\(sin (4x-5)^\circ= cos (3x+4)^\cir\)

Since, sin \(\theta\)= cos(90 - \(\theta\)),

cos(90 - (4x - 5 )) = cos(3x +4)

cos(85 - 4x) = cos (3x+4)

Cancel out the cosine functions to have:

85- 4x = 3x+ 4

81 = 7x

x= 11.57

Hence, the smaller of two acute angles is 11.57 degrees

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Answer:

27

Step-by-step explanation:

Answer:

you pick similar sides from both the triangles and try and divide or find common multiples. for ex if the sides are 3 and 9, you can find that the scale factor is 3 since 9/3 is 3

Step-by-step explanation:

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:

read

Step-by-step explanation:

To find the inverse of the given function f(x) = -½√(x + 3), x ≥ -3, we can follow the steps for finding the inverse:

Step 1: Replace f(x) with y.

y = -½√(x + 3)

Step 2: Swap x and y.

x = -½√(y + 3)

Step 3: Solve for y.

Multiply both sides by -2:

-2x = √(y + 3)

Square both sides:

(-2x)^2 = (y + 3)

4x^2 = y + 3

Step 4: Replace y with f^(-1)(x).

f^(-1)(x) = 4x^2 - 3

Therefore, the inverse of the given function is:

f^(-1)(x) = 4x^2 - 3

However, it's worth noting that the domain of the inverse function may be restricted by the domain of the original function. Since the original function has a condition x ≥ -3, the inverse function's domain may be restricted as well.

Answer:

9.6

Step-by-step explanation:

When it says find the mean, it basically means find the average. So we'll add the numbers and divide by the amount of numbers there are (7).

(4+16+4+13+4+7+4+15)/7 = 9.571

Round to the nearest tenth, 9.6.

The value of the estimated standard error for the following set of D scores 4, 8, 4, 4 is 1.

The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean.

Consider the following set of D scores,

4, 8, 4, 4

We will calculate ∑D and ∑D² to find the SS for the D scores.

Therefore,

∑D = 4 + 8 + 4 + 4

∑D = 20

∑D² = 4² + 8² + 4² + 4²

∑D² = 16 + 64 + 16 + 16

∑D² = 112

Now, the formula for the standard score is given as:

\(SS=\sum D^2- \frac{(\sum)^2}{n}\)

SS = 112 - [ (20)² /4 ]

SS = 112 - 100

SS = 12

Now,

\(S_{D}=\sqrt{\frac{SS}{n-1} }\)

\(S_{D}=\sqrt{\frac{12}{4-1} }\)

\(S_{D}=\sqrt{4}\\ S_{D}=2\)

\(S_{\overline D}=\frac{S_{D}}{\sqrt{n} }\)

\(S_{\overline D}=\frac{2}{\sqrt{4} }\)

\(S_{\overline D}=\frac{2}{2}=1\)

Hence, the standard error of the set of D scores is 1.

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Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

11/24

Step-by-step explanation:

Answer:

It 11 over 24

Step-by-step explanation:

The equations that are true for x = -2 and x = 2 are x² + 4 = 0 and 4x² = 16. So, the correct option is A) and D).

To determine which equations are true for x = -2 and x = 2, we simply substitute these values into each equation and check if the equation is true or not. Here are the results

x² - 4 = 0

Substituting x = -2 gives (-2)² - 4 = 0, which is true. Substituting x = 2 gives 2² - 4 = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

x² = -4

Substituting x = -2 gives (-2)² = -4, which is not true. Substituting x = 2 gives 2² = -4, which is also not true. Therefore, this equation is not true for either x = -2 or x = 2.

3x² + 12 = 0

Substituting x = -2 gives 3(-2)² + 12 = 0, which is true. Substituting x = 2 gives 3(2)² + 12 = 24, which is not equal to zero. Therefore, this equation is true for x = -2 but not for x = 2.

4x² = 16

Substituting x = -2 gives 4(-2)² = 16, which is true. Substituting x = 2 gives 4(2)² = 16, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

2(x - 2)² = 0

Substituting x = -2 gives 2(-2 - 2)² = 0, which is true. Substituting x = 2 gives 2(2 - 2)² = 0, which is also true. Therefore, this equation is true for both x = -2 and x = 2.

Therefore, the two equations that are true for both x = -2 and x = 2 are x² - 4 = 0 and 4x² = 16. So, the correct answer is A) and D).

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Answer:

Step-by-step explanation:

We have a liner function

y=kx+b

Where   \(k=-\dfrac{2}{3}\) -slope  ; b-  y intersept

And we know  that it passes through the point (-3 ; 3 )

Then  :

\(\displaystyle -\frac{2}{3} \cdot( -3) +b=3 \\\\ b+2=3 \\\\ b=1 \\\\\)

We have function :

\(\displaystyle y=-\frac{2}{3} x+1\)

\(\rm \displaystyle y=\frac{4}{3}x-4 \\\\ \rm Where:\\\\ a) \ \frac{4}{3} -slope \\\\ b) -4\ - y\ \ intersept \\\\ c) \ The \ graph \ in \ attached \ file\)

The required expression is 21.29 × 38 = 809.02. has an exact value of the given product.

The estimate is a process, and it includes the rough over-calculation that makes one have a close value to the exact value.

here,
Given expression,
21.29 × 38 = (21 + 0.29) 38
Using distributive property,
               = 21× 38 + 0.29 × 38

               = 798 + 11.02
               = 809.02

The required expression is 21.29 x 38 = 809.02. has an exact value of the given product.

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Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

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The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

What is inflation?

In simple words continuing to rise in general price is regarded as inflation. There is a different kind of inflation, for example; The increase in price due to an increase in the aggregate of goods and services compared to aggregate supply is called demand-pull inflation.

If the inflation rate is positive, the actual return will be less than the nominal return on investment.

Therefore, In order to complete the statement, The nominal return on an investment doesn’t consider the effect of inflation on purchasing power. If the inflation rate is positive, the real return will be less than the nominal return on an investment.

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Answer:

The REAL RETURN on an investment considers the effect of inflation on purchasing power. If the inflation rate is positive, the nominal return will be

GREATER THAN the real return on an investment.

Step-by-step explanation:

The algebraic expression of raise t to the 10th power then add the result to 3 is t¹⁰ + 3

An algebraic expression is an expression that is made up of variables and constants along with algebraic operations such as addition, subtraction, multiplication, exponent, etc.

Given: raise t to the 10th power then add the result to 3

Note: t is the variable here

Let's write algebraic expression now:

raise t to the 10th power => t¹⁰

then add the result to 3 => t¹⁰ + 3

Therefore, the algebraic expression is t¹⁰ + 3

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Answer:

I would say 2 hours

9514 1404 393

Answer:

  23.44

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Tan = Opposite/Adjacent

  tan(38°) = x/30

  x = 30·tan(38°) ≈ 23.4386

  x ≈ 23.44

Answer:

by SSS axiom

hope it helps.

Answer:

Step-by-step explanation:

Yes

the two sides that are marked make 2/3 of the sides needed for SSS

The line shared by both triangles make the third side.

Answer: SSS

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

I need to score 172 in the 14th game to have an average of 152 in 14 games.

When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.

To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.

The total score of 12 games is (12×150) = 1800.

Again I scored 156 is the 13th game.

Let I score 'x' in the 14th game.

∴ (1800 + 156 + x)/12 + 1 + 1 = 152.

(1800 + 156 + x)/14 = 152.

(1956 + x)/14 = 152.

1956 + x = 2128.

x = 2128 - 1956.

x = 172.

So, I need to score 172 in order to have an average of 152 for 14 games.

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Answer:

Step-by-step explanation:

Since the viewing angle between the star and Planet B is 19 degrees, we can use trigonometry to find the distances from Planet A to Planet B. Let's call these distances x and y, where x is the distance to the closer position of Planet B and y is the distance to the farther position of Planet B, as shown in the figure.

Using the Law of Cosines for the triangles with sides 65, x, and 45 (for the closer position) and 65, y, and 45 (for the farther position), we can write:

x^2 = 65^2 + 45^2 - 26545*cos(19) ≈ 2374.6

y^2 = 65^2 + 45^2 - 26545*cos(161) ≈ 10864.6

Taking the square roots of both sides, we get:

x ≈ 48.7 and y ≈ 104.2

Therefore, the possible distances from Planet A to Planet B are approximately 48.7 million miles (for the closer position of Planet B) and 104.2 million miles (for the farther position of Planet B), rounded to the nearest tenth.

Answer:

  1 1/2 inches

Step-by-step explanation:

To find how much more a second number is than a first number, the first is subtracted from fhe second. Here, we want to know how much more the second week total is than the first, so we subtract the first week's total from the second week's total.

__

We find the second week's total by adding up the values associated with the different days in the second week.

  second week's total = 1 7/8 +2 3/4 = (1 +2) +(7/8 +6/8) = 3 13/8 = 4 5/8

Then the difference is ...

  second week's total - first week's total

  = 4 5/8 -3 1/8 = (4 -3) +(5/8 -1/8) = 1 4/8 = 1 1/2

It rained 1 1/2 inches more this week than last week.

Answer:

y = -5x + 4

Step-by-step explanation:

Slope-intercept form of the equation is:

y = mx + b

In the question, we are given m = -5 and b = 4.

Fill in the numbers for m and b.

The m tells you how steep the line is (the slope) And b tells you where the line crosses the y-axis (y-intercept).

Answer:129

Step-by-step explanation:You have 6 miles a day Monday through Friday,add that up to get 30 and multiply by 3 to get 90. Saturday is 8 so multiply that by 3 to get 24. Sunday is 5 miles so do times 3 to get 15 and add them all up

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total miles covered in three weeks by Seth is 129 miles.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Seth jogs 6 miles a day from Monday to Friday. Therefore, the total of miles for which Seth runs on weekdays is,

Total miles in weekdays = 6 miles × 5 days

                                         = 30 miles

Also, Seth jogs 8 miles on every Saturday and 5 miles in every Sunday. Therefore, the total miles covered on week off days is,

Total miles on Saturday and Sunday = 8 miles + 5 miles

                                                             = 13 miles

Now, the total miles covered in a week is,

Total miles in a week = 30 miles + 13 miles = 43 miles

Further, the total miles covered in 3 weeks is,

Total miles in three weeks = 3 × 43 miles = 129 miles

Hence, the total miles covered in three weeks by Seth is 129 miles.

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