If a(x) = 3x + 1 and b(x) = √x-4, what is the domain of (bºa)(x)?

Answer:

4.50 per melon

Step-by-step explanation:

Take the price and divide by the number of melons

13.50/3

4.50 per melon

The absolute value of the elasticity coefficient for Toasty Hands' gloves is 394,265.23.

The elasticity coefficient is calculated as follows:

Elasticity coefficient = (Change in demand)/(Change in price) * (Original price)/(Original demand)

In this case, the change in demand is 540,000 - 440,000 = 100,000 pairs. The change in price is 239 - 279 = -40. The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get:

Elasticity coefficient = (100,000)/(-40) * (279)/(440,000) = -394,265.23

The absolute value of the elasticity coefficient is 394,265.23. This means that the demand for Toasty Hands' gloves is elastic, meaning that a small change in price will lead to a large change in demand.

Here is a more detailed explanation of the calculation:

The change in demand is calculated by subtracting the original demand from the new demand. In this case, the new demand is 540,000 pairs, and the original demand is 440,000 pairs. So the change in demand is 540,000 - 440,000 = 100,000 pairs.

The change in price is calculated by subtracting the original price from the new price. In this case, the new price is $239, and the original price is $279. So the change in price is 239 - 279 = -40.

The original price is $279, and the original demand is 440,000 pairs.

Plugging these values into the formula, we get the elasticity coefficient of -394,265.23.

Learn more about coefficient here: brainly.com/question/1594145

#SPJ11

Answer:

x=4 degrees

Step-by-step explanation:

its an equilateral triangle so all sides are equal, if one angle is 10x+20,then the rest are each 10x+20.This is a triangle and it adds up to 180 degrees. So in total, (10x+20)×3=30x+60.So you do this, 30x +60=180 degrees, you take the sixty to the other side and subtract it from 180 ,you'll get 120 degrees, then divide 120by 30x

A picking list is used by forklift drivers to let them know how much of each item to get from specific storage areas in a distribution center.

Explanation:

A picking list is a document that is used by forklift drivers and other warehouse personnel to identify the specific items and quantities that need to be picked from specific storage locations in a distribution center.

The picking list typically contains information such as the item number, description, location, and quantity needed for each item. It may also include other details such as the customer's name, order number, and delivery date.

The purpose of the picking list is to ensure that the correct items are picked in the correct quantities, and that they are picked from the correct storage locations. This helps to ensure that orders are filled accurately and efficiently, and that inventory levels are properly managed.

Once the items are picked, the picking list may be used to update inventory records and to generate packing slips or other shipping documents. The picking list is an essential tool in the warehouse and distribution process, and it helps to ensure that customers receive the correct products on time.

Know more about the storage locations click here:

https://brainly.com/question/15993285

#SPJ11

Answer:

25 copies rented

Step-by-step explanation:

r = r1 - 5t, t is time in weeks, r is the number of copies rented, r1 how many people were renting at the start

we know on the 6 weeks passed and 4 copies were rented

4 = r1 - 5(6)

4 = r1 - 30; add 30 on both sides

34 = r1

r = 34 - 5t now plug t = 2 in for this function

r = 34 - 5(2)

r = 35 - 10

r = 25 copies rented

The complete solution to the given ordinary differential equation (ODE)is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

To solve the second-order ordinary differential equation (ODE) using the method of undetermined coefficients, we assume a particular solution of the form:

\(y_p(x) = A e^{-2x}\)

where A is a constant to be determined.

Next, we find the first and second derivatives of \(y_p(x)\):

\(y_p'(x) = -2A e^{-2x}\\y_p''(x) = 4A e^{-2x}\)

Substituting these derivatives into the original ODE, we get:

\(4A e^{-2x} - 4(-2A e^{-2x}) - 12(A e^{-2x}) = 10e^{-2x}\)

Simplifying the equation:

\(4A e^{-2x} + 8A e^{-2x} - 12A e^{-2x} = 10e^{-2x}\)

Combining like terms:

\((A e^{-2x}) = 10e^{-2x}\)

Comparing the coefficients on both sides, we have:

A = 10

Therefore, the particular solution is:

\(y_p(x) = 10e^{-2x}\)

To find the complete solution, we need to find the homogeneous solution. The characteristic equation for the homogeneous equation y'' - 4y' - 12y = 0 is:

r² - 4r - 12 = 0

Factoring the equation:

(r - 6)(r + 2) = 0

Solving for the roots:

r = 6, r = -2

The homogeneous solution is given by:

\(y_h(x) = C1 e^{6x} + C2 e^{-2x}\)

where C1 and C2 are constants to be determined.

Using the initial conditions y(0) = 3 and y'(0) = -14, we can solve for C1 and C2:

y(0) = C1 + C2 = 3

y'(0) = 6C1 - 2C2 = -14

Solving these equations simultaneously, we find C1 = 5 and C2 = -2.

Therefore, the complete solution to the given ODE is:

\(y(x) = y_h(x) + y_p(x) = 5e^{6x} - 2e^{-2x} + 10e^{-2x} = 5e^{6x} + 8e^{-2x}\)

The question is:

Use the method of undetermined coefficients to solve the second order ODE y'' - 4 y' - 12y = 10\(e ^{- 2x}\), y(0) = 3, y' (0) = - 14

To know more about differential equation:

https://brainly.com/question/32645495

#SPJ4

Answer:6

Step-by-step explanation:

The total number of blocks is 42 and the number of rows is 7. So the equation would be 42 ÷ 7. So, 42 ÷ 7 = 6. There are 6 blocks in each row

Answer:

33 x 3 + 3/3 because it says uses the 4 operations

Step-by-step explanation:

Answer:

x = 1

5 x 1 = 5 + 10 = 15

Step-by-step explanation:

Answer: X= 1

Step-by-step explanation: you would do 15 - 10 = 5

then you would do 5x times 5 which would equal 25

The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

The given sequence is -81, 108, -144, 192.

The formula that can be used to describe the sequence is:  \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.

This formula is a geometric sequence formula that can be used to describe the given sequence.

The formula represents the nth term of the sequence as a function of the position of the term in the sequence.

Here, n represents the position of the term in the sequence

.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).

The second term is 108, which corresponds to the second position in the sequence (n = 2).

The third term is -144, which corresponds to the third position in the sequence (n = 3).

The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).

Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)

Know more about sequence  here:

https://brainly.com/question/7882626

#SPJ11

Answer:

4 pounds.

Step-by-step explanation:

The equation 24+10x=40+6x would solve it. X being the amount of pounds.

The number of pounds of books would the two companies charge the same amount of money is 4 pounds.

Given that, company A charges a $24 fee plus $10 per pound. Company B

charges $40 plus $6 per pound.

We need to find for how many pounds of books would the two companies charge the same amount of money.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

Let the number of pounds be x.

Now, company A charges a $24 fee plus $10 per pound=24+10x

Company B charges a $40 plus $6 per pound=40+6x

The two companies charge the same amount of money. Then, 24+10x=40+6x

By solving equation, we get

10x-6x=40-24

⇒4x=16

⇒x=4

Therefore, the number of pounds of books would the two companies charge the same amount of money is 4 pounds.

To learn more about an equation visit:

brainly.com/question/1529522.

#SPJ2

The 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Let the random variable & parameters be;

x1 : Number of successes from group 1

x2 : Number of successes from group 2

p1: Proportion of successes in group 1

p2: Proportion of successes in group 2

n1 : number of trial in group 1

n2: number of trial in group 2

We are given;

x1 = 260

n1 =985

x2 = 194

n2 = 842

Thus;

p1 = 260/985

p1 =0.2640

p2 = 194/842

p2 = 0.2304

Constructing a (1 - α)100% confidence interval for proportion from the formula;

(p₁ - p₂) - z√[((p₁(1 - p₁)/n₁) + p₂(1 - p₂)/n₂)]

plugging in z = 2.576 and the values of p₁, p₂, n₁ and n₂, we have the confidence interval as;

(-0.0184631, 0.0855743)

Therefore the 99% confidence interval for the decrease in the defective rate after the reconfiguration is (-0.018, 0.086).

Read more about Confidence Interval at; https://brainly.com/question/17097944

#SPJ1

Answer:

240 Square Inches

Step-by-step explanation:

See the attached diagram

The Isosceles Triangle based prism consists of two triangles of equal area, to rectangles of equal area and the rectangle at the base.

Therefore:

Surface Area of the Prism =Surface Area of Two Triangular Base+Area of three Rectangles

Area of one Triangular Base=0.5 X 8 x 3 =12 Square inches

Area of Rectangle 1=5 x 12 =60 Square Inch

Area of Rectangle 2=5 x 12 =60 Square Inch

Area of Rectangle 3=8 x 12 =96 Square Inch

Therefore:

Surface Area of the Prism=2(12)+2(60)+96

=240 Square Inches

Answer:

240 in²

Step-by-step explanation:

The prism has an isosceles triangle with the following data:

- Two lengths = 5 inches

- Other length = 8 inches

- Height = 12 inches

Since the prism consist of 2 triangle bases and three rectangular faces, the surface area (SA) of the prism can be calculated as follows:

\( SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} \)

Where:

\(SA_{b1}\) and \(SA_{b2}\) are the surface areas of the two triangle bases.

\(SA_{f1}\), \(SA_{f2}\) and \(SA_{f3}\): are the surface areas of the three rectangular faces.  

The surface area of the triangle bases can be calculated as follows:

\( SA_{b1} = SA_{b2} = \frac{b*h}{2} \)

Where:

b: is the base = lenght of 8 inches

h: is the height = 3 inches

\( SA_{b1} = SA_{b2} = \frac{8*3}{2} = 12 in^{2} \)

Now, we need to find the surface area of the rectangular faces using the following data:

Rectangular face 1 = rectangular face 2:  

- One side = 12 inches

- Other side = 5 inches

Rectangular face 3:

- One side = 12 inches

- Other side = 8 inches

Hence, the SA of the rectangular face 1 and rectangular face 2 is:

\( SA_{f1} = SA_{f2} = 12*5 = 60 in^{2} \)

And the SA of the rectangular face 3 is:

\( SA_{f3} = 12*8 = 96 in^{2} \)

Finally, the SA of the prism is:

\( SA = SA_{b1} + SA_{b2} + SA_{f1} + SA_{f2} + SA_{f3} \)

\( SA = 2*12 + 2*60 + 96 = 240 in^{2} \)      

Therefore, the surface area of the prism is 240 in².

I hope it helps you!

A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Learn more about correlations at https://brainly.com/question/5483638

#SPJ1

For this question, since we need to show that Eric and Nancy contributes the same amount to their monthly income, we just need to equate both expressions with each other, and then solve for the value of x.

In order to check if we got the right answer, we just need to substitute the value of x to both equations.

Therefore, we can conclude that Eric and Nancy has to sell 6 fish tanks each.

The expression (5a)(3a + 2) simplifies to 15a^2 + 10a. This is obtained by multiplying 5a with both terms inside the parentheses using the distributive property. The final result cannot be further simplified. So, Option B is correct. Option B.

To simplify the given expression, (5a)(3a + 2), we apply the distributive property to distribute the factor 5a to both terms inside the parentheses. This involves multiplying 5a by each term separately.

First, we multiply 5a by 3a. Multiplying these two terms gives us 15a^2, where the coefficient 15 comes from multiplying 5 by 3 and the variable a is squared due to the multiplication of two a's.

Next, we multiply 5a by 2. This multiplication results in 10a, where the coefficient 10 comes from multiplying 5 by 2, and the variable a remains unchanged.

Combining the two simplified terms, we have 15a^2 + 10a. This expression cannot be further simplified because there are no like terms to combine.

The term 15a^2 represents the enlarged area of the mural, obtained by multiplying the lengths of the sides of the original square mural (side length a) by the factor 5 and squaring the variable a. The term 10a represents an additional area added during the enlargement process, obtained by multiplying the side length a by the factor 2.

In conclusion, the simplified form of (5a)(3a + 2) is 15a^2 + 10a. So OptioN B is correct.

For more question on simplifies  visit:

https://brainly.com/question/723406

#SPJ8

The value of X from the similar triangles above would be = 4. That is option B.

To determine the value of X from the missing part of the similar triangles, the formula that should be used is given below as follows:

VR/VU = VQ/VT

Where;

VR = 33

VU = 44

VQ = 8x-2

VT = 40

That is;

33/44 = 8x-2/40

33×40 = 44(8x-2);

1320 = 352x-88

1320+88 = 352x

1408 = 352x

X = 1408/352

= 4.

Learn more about triangle here:

https://brainly.com/question/28470545

#SPJ1

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

The x.length is the number of rows, which is 4. x[2].length is the number of columns in the 3rd row, which is 5. The expression "new double[4][5]" creates a 2D array of doubles with 4 rows and 5 columns. The correct answer is (b) 4 and 5.

The expression double[][] x = new double[4][5] creates a 2D array x with 4 rows and 5 columns. Therefore, x.length gives the number of rows, which is 4. And x[2].length gives the number of columns in the 3rd row (since array indices start at 0), which is 5. Therefore, the correct option is (b) 4 and 5.

To know more about length:

https://brainly.com/question/28478858

#SPJ4

Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

In 120 ways 5 numbers can be arranged through permutations.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation." The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Given,

In following ways 5 numbers can be arranged through permutations,

5!

5 × 4 × 3 × 2×1

120

In 120 ways 5 numbers can be arranged through permutations.

To learn more about permutation, visit:

https://brainly.com/question/13387529

#SPJ4

Tool dividing beats into two, three or four parts is called a simple meter.

A simple meter is a tool in music which divides beats into a number of two, three or four parts. A simple meter is of three types :

1. Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).
2. Triple - a meter which helps to divide beats into 3(i.e. into three parts)

3. Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).
To learn more about simple meter visit:

brainly.com/question/372485
#SPJ4

Duple - a meter which helps to divide a beat into 2 (i.e. into two parts).

Triple - a meter which helps to divide beats into 3(i.e. into three parts)

Quadruple - a meter which helps to divide beats into 4(i.e. into four parts).

Answer:

consistent, independent

Step-by-step explanation:

4x = 2y - 6

y + 4x = 3

2y = 4x + 6

y = -4x + 3

y = 3x + 3

y = -4x + 3

These two equations have the same y-intercept and two difference slopes. They intersect at one point, the y-intercept of both lines. There is 1 solution.

Answer: consistent, independent

1

Explanation:

7/7 - 2/5

Using compatible numbers:

7/7 = 1 as it is closer and equal to 1

so we have: 1 - 2/5

2/5 is approximately 0 as it is closer to 0 than 1

= 1 - 0 = 1

7/7 - 2/5 using compatible number = 1

We must account for both the capital gain and the capital loss in order to determine your overall multiplied dollar return on this investment. Therefore, your total dollar return on this investment is $5,200.

We must account for both the capital gain (or loss) from the shift in stock price and the dividend payments made throughout the year in order to determine your overall dollar return on this investment.

To begin, let's figure out the financial gain per share:

Sales price minus purchase price per share equals capital gain per share.

Share price  $43.25 - $37

Shares with a capital return of $6.25

Thus, each share of your capital gain is worth $6.25.

Let's next determine the total quantity of dividend income earned during the year:

Dividend per share x shares outstanding equals dividend revenue per share.

Earnings per share from dividends = $0.25 * 800

$200 is the dividend yield per share.

As a result, you received $200 in dividend revenue overall.

When all is said and done, we can determine your overall dollar return on investment:

Dividend revenue per share multiplied by capital gain per share to calculate the total dollar return.

Total amount received: ($6.25 + $0.25) * 800

Return in dollars: $6.50 * 800

$5,200 is the overall profit.

Your overall dollar return on this investment is therefore $5,200.

Learn more about multiplied here:

https://brainly.com/question/30875464

#SPJ4

Answer:

Step-by-step explanation:

Not true: Right angle is not 90 degrees  because all right angles must be 90 degrees

Answer:

Step-by-step explanation:

step one:

This problem is on the mensuration of solids,

given that the area is 65ft^2

step two:

we know that the expression for the area of a solid is

areaa= length* length

area= l^2

step three:

substituting the value of the area into the expression we have

65=l^2

we need to square both sides to solve for l we have

√65=l

l= 8.05ft

step four:

From the analysis we found the length of one side to be 8.06ft

Answer:

8.06 ft

Step-by-step explanation:

b =(17,6x 8,9):19,7=7,95

Answer:

We have the relation:

aₙ = 10 + 2*(n - 1)

And we want to write this in fuction form:

y = f(n)

first we have:

aₙ = y =  10 + 2*(n - 1)

We can rewrite this as:

y = 10 + 2*n - 2

y = 2*n + (10 - 2)

y = 2*n + 8

Now we want to find the y-intercept, this is the value of the function when the variable is equal to zero.

Then if we take n = 0, we get:

y = 2*0 + 8

y = 8

The y-intercept is 8.