Which expression is equivalent to 1/7 divided by 2/5

Crane Co. journalized the transactions by recording debits and credits to the appropriate accounts, such as Notes Receivable, Cash, Sales Revenue, and Accounts Receivable. Interest revenue on the notes receivable was accrued at the end of the year.

Here are the journal entries for the transactions of Crane Co. related to notes receivable:

Nov. 1:

Cash 52,800

Notes Receivable 52,800

Dec. 11:

Notes Receivable 3,600

Sales Revenue 3,600

Dec. 16:

Notes Receivable 7,200

Accounts Receivable 7,200

Dec. 31:

Interest Receivable [Calculate interest for each note]

Interest Revenue [Calculate interest for each note]

Note: Since the problem does not provide specific dates for the last transaction (Dec. 31) and interest accrual, it's not possible to provide the exact amounts for the Interest Receivable and Interest Revenue accounts.

You'll need to calculate the interest for each note based on the given information (principal, interest rate, and time) and record the appropriate amounts in the journal entries.

Learn more about Interest revenue at

brainly.com/question/28903291

#SPJ4

The point (ab) for which the volume of the solid between the plane and R is ∞

To find the volume of this solid, we need to integrate the height of the prism over the area of the base. Since the base is a rectangle, this can be done using a double integral. Let h(x, y) be the height of the prism at the point (x, y) in the rectangle. Then the volume of the solid is given by:

V = ∬[R] h(x, y) dA

where [R] is the region corresponding to the rectangle in the xy-plane.

We can find the height of the prism at any point (x, y) by considering the equation of the plane. The equation 3x + 7y + 242 = 0 can be rewritten as:

z = -(3/7)x - 242/7

So the height of the prism at the point (x, y) is given by:

h(x, y) = -(3/7)x - (7/3)y - 242/7

Now we can set up the double integral to find the volume of the solid:

V = ∫∫ (-(3/7)x - (7/3)y - 242/7) dxdy

To see why this is true, imagine sliding the plane up and down while keeping it parallel to itself. As you do this, the solid between the plane and the rectangle will change shape, but the volume of the solid will remain the same.

At some point, the plane will be tangent to the rectangle at one of its vertices, and this will be the point where the volume of the solid is maximized.

To know more about volume here

https://brainly.com/question/11168779

#SPJ4

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

A linear function is a function that represents a straight line on the coordinate plane. The standard form of a linear function is y = mx + b.

Here, 'm' is the slope of the line, 'b' is the y-intercept of the line, 'x' is the independent variable and 'y' (or f(x)) is the dependent variable.

Option A:

In the function y=3x², the highest degree is 2, so it is quadratic function.

Option B:

The function y=1/3x is not a linear function.

Option C:

In the function y=x³+5, the highest degree is 3, so it is cubic function.

Option D:

In the function 2/3 x=y-1, the highest degree is 1, so it is linear function.

The linear function is 2/3 x=y-1. Therefore, option D is the correct answer.

To learn more about the linear function visit:

https://brainly.com/question/17058347.

#SPJ1

Answer:

$150

Step-by-step explanation:

5 x 6 = 30

25 x 6 = 150

Answer:

If it is a solution of equations, then plug your solution into the equations you are working on to make sure that all equations are satisfied by your solution.

Step-by-step explanation:

I hope that this was helpful.

Answer:

C

Step-by-step explanation:

100/500=0.2

0.2=20%

Answer:

C

Step-by-step explanation:

500÷100=20%

since the change is 100 and the first amount is 500 we do 500÷100=20% which is the percentage it changed

Answer: 192

Step-by-step explanation: 16*12=192

Answer:

A half is not a unit of measure for weight, so it is not possible to answer this question.

Answer:

2497.22...

Step-by-step explanation:

Answer:

x + (2x + 40) + (3x - 50) = 15002

Remove the parentheses

x + 2x + 40 + 3x - 50 = 15002

Combine like terms

x + 2x + 3x + 40 - 50 = 15002

6x - 10 = 15002

6x = 15002 + 10

6x = 15012

x = 15012/6

x = 2502

Step-by-step explanation:

Hope it helps :)

Brainliest pls?

Answer:

It’s going to be b

Step-by-step explanation:

Because add then then divide then put the x on top and simplify then and then subtract

Using 3 different methods, we can find that YZ = 25m

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations

sin(θ) = (opposite cathetus)/H

cos(θ) = (adjacent cathetus)/H

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent cathetus

YZ = opposite cathetus.

We want to find YZ, so with the known things, we can use the first relation:

\(sin(30\°) = YZ/50m\)

\(sin(30\°)*50m = YZ = 25m\)

Now let's try another way.

We know that the sum of the internal angles of a triangle is always equal to 180°

In a triangle rectangle, we always have an angle equal to 90°.

Then the missing angle for our triangle can be computed from:

Z + 90° + 30° = 180°

Z = 180° - 90° - 30° = 60°

From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:

\(cos(60\°) = YZ/50m\\cos(60\°)*50m = YZ = 25m\\\)

Third way.

Whit the same angle we could find the side XY, the opposite cathetus, with:

\(sin(60\°) = XY/50m \\sin(60\°)*50m = XY = 43.3m\)

Now that we know one of the catheti, we can use the last trigonometric relation

\(tan(60\°) = XY/YZ = 43.3m/YZ \\YZ = 43.3m/tan(60\°) = 25m\\\)

If you want to learn more about triangle rectangles, you can read:

https://brainly.com/question/24330420

Answer:

Solve the equation where the sine of 30 degrees is equal to YZ/50.

Solve 180 – (30 + 90) = 60 to find the measure of angle Z. Then use the cosine of Z to write and solve an equation.

Use the 30°-60°-90° triangle theorem to find that YZ = 50/2.

Step-by-step explanation:

edge 2022

You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

To learn more about interest click here: https://brainly.com/question/31907854

#SPJ11

Answer:

The proportion is 2/7 = 12/42

x = 12

The answer is 12

Answer:

x=-6

y=30

Step-by-step explanation:

-5x =2x+42

x=-6

y=2(-6)+42

=30.

Answer:

The solution is (-6, 30)

Step-by-step explanation:

Here we have two separate equations for y and are to find the solution (x, y).

y = 2x + 42

y = -5x

First, equate y = 2x + 42  and y = -5x:

2x + 42  = -5x

Combining like terms, we get

7x = -42, which results in x = -6

Since y = -5x, y = -5(-6), or y = 30, when x = -6.

The solution is (-6, 30)

The rate of climb required in feet per minute is 490.

The Ground Speed = 140 Knots

The ground speed in minutes = 140/60

                                                   = 2.33 knots

Required speed is in feets per minutes so mulitply the knots with 210

Required Rate =  210 X 2.33

                         = 489.93

                         ≈ 490.

#SPJ4

The ramp will rise 14.08 inches from the ground.

given that

Natalie wants to use a sheet of fiberboard 30 inches long to create a skateboard ramp

with a 28° angle of elevation from the ground.

so, angle of elevation(θ) is 28°.

The total length of fiberboard is 30 inches.

let the ramp will rise from the ground be X.

then using the sin ratio to obtain the height.

\(sin(θ) = \frac{opposite \: side}{hypotenuse} \\ sin(28) = \frac{x}{30} \)

To find the x value so that

\(x = 0.469 \times 30 \\ x = 14.08\)

Hence, the ramp will rise 14.08 inches from the ground.

Learn more about height,refer:

https://brainly.com/question/1739912

#SPJ9

Answer:14.08

Step-by-step explanation:

In an observational study, lurking variables are present but not explicitly accounted for in the study design. These variables may have an effect on the outcome variable and can lead to confounding.

Lurking variables are variables that are not directly measured or controlled in a study, but can affect the relationship between the variables of interest. They can lead to confounding, which is when the effect of one variable on the outcome cannot be separated from the effect of another variable. In an observational study, it can be more difficult to identify and control for lurking variables, which can weaken the ability to draw causal conclusions.

Blinding is a technique used in some studies to reduce bias by hiding the treatment or condition from either the participants, the researchers, or both. In a single-blind study, either the participants or the researchers are unaware of the treatment or condition, while in a double-blind study, both the participants and the researchers are unaware. Blinding can help reduce bias by preventing expectations from influencing the results.

Confounding occurs when the effect of one variable on the outcome cannot be separated from the effect of another variable. This can lead to incorrect conclusions about the relationship between the variables of interest. For example, in a study looking at the relationship between coffee consumption and heart disease, age could be a lurking variable that affects both coffee consumption and the risk of heart disease. If age is not controlled for, it could lead to a false conclusion about the relationship between coffee consumption and heart disease.

Random assignment is a technique used in experimental studies to assign participants to different treatments or conditions at random, which helps to ensure that the groups are similar in all aspects except for the treatment or condition. This reduces the potential for confounding and helps to establish a causal relationship between the treatment or condition and the outcome.

To learn more about Lurking variables  visit:  https://brainly.com/question/13285819

#SPJ11

Fred < Bill < Paul

Paul is older and Fred is younger

Answer:

Its C. or option 3

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

-4000 is the slope

pick a point

y = -4000x + 20000

Answer- 9 shelves

In order to find out how many shelves are need we must divided 175 into 20. 175 divided by 20 is 8.75. But, because you cannot have have .75 of a shelf, you have to round this to a whole. This means that 9 shelves will be the least needed number of shelves need to store 175 books. To check this answer 20 books X 8 shelves is 160 books, which means eight shelves can only store 160 books, we will need and additional shelf to store the last 15 books.

HOPE THIS HELPS & GOOD LUCK!

1. Given : 1 mile = 8/5 km

⇒   7.5 miles = 7.5 × value of 1 mile

⇒   7.5 miles = 7.5 × 8/5 km

⇒   7.5 miles = 12 km

2. Given : 1m = 1.1 yard

⇒   600m = 600 × value of 1m

⇒   600m = 600 × 1.1 yard

⇒   600m = 660 yards

3. Given : 1 yard =  3 feet

⇒   1 feet = 1/3 yard

⇒   730 feet = 730 × value of 1 feet

⇒   730 feet = 730 × 1/3 yard

⇒   730 feet = 243.33 yards

Answer:

Minimum

Need to know:

Derivative power rule: d/dx xⁿ = nxⁿ⁻¹

Derivative constant rule: d/dx c = 0

Step-by-step explanation:

A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.

If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.

Another way to determine this is through calculus.

First, we have to find the point of extremum

Find the derivative of the given equation

d/dx 4x² -  3x - 43

You can separate the terms and solve them individually

d/dx 4x² = 4(2)(x²⁻¹) = 8x

d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3

d/dx -43 = 0

y' = 8x - 3

Set y' to equal 0

8x - 3 = 0

Add 3 to both sides

8x - 3 = 0

    + 3   + 3

8x = 3

Divide both sides by 8

8x/8 = 3/8

x = 3/8

There is only one point of extremum

Now we have to test whether the equation changes from negative to positive or positive to negative

If it changes from negative to positive, that point is a minimum

If it changes from positive to negative, that point is a maximum

To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.

y' = 8(0) - 3 = -3

Now we will do the same for a number larger than 3/8. We'll use 1

y' = 8(1) - 3 = 5

Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.

You should integrate with respect to x

The calculated area of the region is 2.31

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

y = eˣ

y = x² - 1

Make y the subject of the formula

y = eˣ

y = x² - 1

This means that by favoring convenience, you should integrate with respect to x

The area is calculated as

\(Area = \int\limits^a_b {e^x - x^2 - 2} \, dx\)

Integrate

\(Area = e^x - \frac{x^3}{3} - 2x|\limits^1_{-1}\)

Expand

Area = [e⁻¹ - (-1)³/3 - 2(-1)] - [e¹ - (1)³/3 - 2(1)]

Area = 2.31

Hence, the area is 2.31

The graph is attached

Read more about area at

brainly.com/question/32094709

#SPJ1

Question

Sketch the region enclosed by the curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label the points of intercepts of the curves. then find the area of the region by integration.

y = eˣ

y = x² - 1

The number of brownies and large cookies will be same that is 20 each.

What are inequalities ?

When two values are compared , an inequality represents whether one is greater than, less than, or not equal to the other.

It is given that the brownies cost $4 each and large cookies cost $6 each.

Let's assume the number of brownies be x and large cookies be y.

And as per the question , She is trying to make at least $200 but wants to make no more than 75 items.

So , to represent this we need an inequality which will be as follows:

Cost of x brownies = 4x

Cost of y cookies = 6y

So , inequality will be :

4x + 6y ≤ $200 --- --- --- --- --- --- --- -- - Equation 1

and

Number of brownies and cookies should not be more than 75 items. i.e.,

x + y < 75 --- --- --- --- --- --- --- -- -- -- -- -- -- Equation 2

Let's check for which value of x and y this is suitable. So , simplify equation 1 : (dividing by 2 )

2x + 3y ≤ $100

If we put x = 20 and y = 20 , then

2 × 20 + 3 × 20 = $100

$100 = $100

So , the equation is satisfied which meant the number of brownies and cookies will be equal which is 20.

Let's check it with equation 2 also :

So ,

20 + 20 < 75

40 < 75

This is also satisfied.

Therefore ,  the number of brownies and large cookies will be same that is 20 each.

Learn more about inequalities here :

brainly.com/question/25275758

#SPJ1

The values we calculated f(x) = 1/5 + (3 / 25)(x - 2) - (6 / 125)(x - 2)^2/2! + ... The difference between f(2.1) and the approximation is -0.0245

(a) To find the Taylor series for f(x) around x = 2, we can use the formula for the Taylor series expansion:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)^2/2! + f'''(a)(x - a)^3/3! + ...

where f'(a), f''(a), f'''(a), etc., represent the derivatives of f(x) evaluated at x = a.

Let's calculate the derivatives of f(x):

f(x) = (x - 1)/(1 + 2x)

First derivative:

f'(x) = [(1 + 2x)(1) - (x - 1)(2)] / (1 + 2x)^2

      = (1 + 2x - 2x + 2) / (1 + 2x)^2

      = 3 / (1 + 2x)^2

Second derivative:

f''(x) = d/dx (3 / (1 + 2x)^2)

       = -6 / (1 + 2x)^3

Now, let's evaluate these derivatives at x = 2:

f(2) = (2 - 1)/(1 + 2(2)) = 1/5

f'(2) = 3 / (1 + 2(2))^2 = 3 / 25

f''(2) = -6 / (1 + 2(2))^3 = -6 / 125

Using these values, we can write the Taylor series expansion:

f(x) = f(2) + f'(2)(x - 2) + f''(2)(x - 2)^2/2! + ...

Substituting the values we calculated:

f(x) = 1/5 + (3 / 25)(x - 2) - (6 / 125)(x - 2)^2/2! + ...

(b) If we approximate f(x) by truncating the series up to (and including) the quadratic term, we have:

Approximation of f(x) = 1/5 + (3 / 25)(x - 2) - (6 / 125)(x - 2)^2

To find the difference between f(2.1) and the approximation, we substitute x = 2.1 into both expressions:

f(2.1) = (2.1 - 1)/(1 + 2(2.1)) = 1.1/5.2 = 11/52 ≈ 0.2115

Approximation of f(2.1) = 1/5 + (3 / 25)(2.1 - 2) - (6 / 125)(2.1 - 2)^2

                        = 1/5 + 3/25 * 0.1 - 6/125 * 0.1^2

                        = 1/5 + 3/250 - 6/12500

                        = 50/250 + 15/250 - 6/12500

                        = 59/250 ≈ 0.236

The difference between f(2.1) and the approximation is:

Difference = f(2.1) - Approximation of f(2.1)

          = 0.2115 - 0.236

          ≈ -0.0245

Learn more about difference here

https://brainly.com/question/17695139

#SPJ11

Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".

The number of friends that  will know the secret by the end of the day on sunday are 21 friends.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that :on monday, a student tells a secret to 3 people. on tuesday, each of the 3 friends tells the secret to 3 different people, who in turn each tell the secret to 3 different different people.

on monday- 3 persons

on Tuesday-3×3=9

Since the 3 person will tell the secret to other 3-3 persons each

So, we can relate it to the table of 3

3 x 7=21

Therefore the number of friends will know the secret = 21

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

the given expression is,

= (-2-8) - (-6x + 5)

= -10 + 6x - 4

= 6x - 14

so the simpl