1 basket of mangos for $9.43 and 1 basket of apples for $8.85 how much was the purchases in total

Answer: second option (counting from the top)

Step-by-step explanation:

When we have a number:

z = x + y*i

we can represent this with the point:

(x, y).

Now, remember that in polar coordinates, we need to use the variables:

r = distance to the (0, 0), or the "magnitude" of the point.

θ = angle measured counterclockwise from the x-axis.

r is easy to find, is the magnitude, this is calculated as:

r = √(x^2 + y^2)

To find θ, suppose that we have a triangle rectangle, where x is the adjacent cathetus, and y is the opposite cathetus, and θ is the angle as we described it.

We know that:

Tan(θ) = opposite cathetus/adjacent cathetus = y/x

Tan(θ) = y/x

Then:

θ = Tan^-1 (y/x)

Then the correct option is the second option (counting from the top)

Answer:

its b

Step-by-step explanation:

trust

Answer:

\( \frac{(3x - 2)}{5} = 2 \\ 3x - 2 = 10 \\ 3x = 2 + 10 \\ 3x = 12 \\ x = \frac{12}{3} \\ \boxed{x = 4}\)

Answer:

1/2 and 3/5

Step-by-step explanation:

I dunno how to explain this, but I hope it helps!

The light fixtures will make approximately 0.914 swings per second during a minor earthquake in San Francisco.

To determine the frequency of the swings per second for the light fixtures, we need to use the formula for the period of a pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

In this case, the length of the pendulum is given as 1.50 m, and the mass of the bulb is given as 2.35 kg. We can assume that the shade and cord add negligible mass to the system. The acceleration due to gravity is approximately 9.8 m/s^2.

Plugging in the values, we get:

T = 2π√(1.50/9.8)

T ≈ 1.093 seconds

The frequency of the swings per second is the reciprocal of the period, so:

f = 1/T

f ≈ 0.914 Hz

It's important to note that this is an approximation, and the actual frequency may vary depending on factors such as the amplitude of the oscillations and the specific characteristics of the earthquake.

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The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

134

Step-by-step explanation:

(a) The value of angle x in the cyclic quadrilateral is 103⁰.

(b) The value of angle y in the cyclic quadrilateral is 84⁰.

In a cyclic quadrilateral, the opposite angles are always supplementary, which means they add up to 180 degrees.

The value of x and y is calculated as follows;

x + 77 = 180 (opposite angles of a cyclic quadrilateral are supplementary)

x = 180 - 77

x = 103⁰

y + 96 = 180 (opposite angles of a cyclic quadrilateral are supplementary)

y = 180 - 96

y = 84⁰

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One acre is equal to 43,560 square feet. To convert acres to square feet, you can multiply the number of acres by 43,560.

For example, if you want to convert 6 acres to square feet, you can multiply 6 by 43,560:

6 acres x 43,560 square feet/acre = 261,360square feet

So, 6 acres is equal to 261,360square feet.

Acres and feet are area and length measurement units, respectively. There is no direct conversion between acres and feet because they measure different things. However, you can convert acres to square feet using a conversion factor.

Please keep in mind that this conversion only applies to area measurements. If you need to convert linear measurements from acres to feet, you'll need more information about the area's shape and dimensions.

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General rules people unconsciously follow in estimating probabilities are known as heuristic.

According to the statement

we have to explain all about the term by which people unconsciously follow in estimating probabilities.

So, For this purpose, we know that the

A heuristic, or heuristic technique, is any approach to problem-solving that uses a practical method or various shortcuts in order to produce solutions that may not be optimal but are sufficient given a limited time frame or deadline.

By this way, we solve the probabilities without any formula of probability.

In other words it is a method which solves the every problem without any formula.

So, General rules people unconsciously follow in estimating probabilities are known as heuristic.

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Answer:

a. \(50b + 250 \leq 3000\)

b. 55 boxes

c. 5 trips

Step-by-step explanation:

a. Each box weighs 50lbs and the number of boxes is our variable. If you add the worker's weight (180) and the cart's weight (70) you get a constant weight of 250. All of this cannot weigh more than 3000, therefore it can weigh equal to or less than it. Therefore, the equation is \(50b + 250 \leq 3000\).

b. Solve the equation to find the maximum amount of boxes that he can move in one trip, like this:

\(50b + 250 \leq 3000\\50b \leq 2750\\b \leq 55\)

Therefore, the greatest number of boxes that the worker can move is 55 boxes.

c. Divide the total number of boxes (275) by the amount of boxes that can be taken in one trip (55) to find how many trips it will take. Like this:

275/55 = 5

The worker needs to make 5 trips in order to deliver 275 boxes.

I hope this helps!!

- Kay :)

Answer:

a.) 3000 *no more than symbol* 180 + 70 +50b

Answer:

to struggle to succeed when chances are bad

Step-by-step explanation:

She got nervous and froze when she thought she was going to lose.

Answer: 53x^7

Step-by-step explanation:

Subtracting a negative is like adding.

The volume of  cylinder is 25.85 cubic feet

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula for volume of cylinder V=πr²h

Where V is volume, r is radius of cylinder and h is height of cylinder.

The cylinder has a height of 4.2 feet and

a segment from one point on the circular base to another point on the base through the center labeled 2.8 feet, which is equal to the diameter of the circular base.

Diameter =2.8 feet

Radius =1.4 feet.

V=3.14×1.4²×4.2

V = 25.85 cubic feet

Hence, the volume of  cylinder is 25.85 cubic feet

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Answer:

b or 25.85

Step-by-step explanation: V=pir^2h

the radius is half of the diameter so it would be 1.4. then do 1.4 and square it, getting 1/96. then, multiply 1.96, 4.2, and pi, or 3.14 in this case. After multiplying those, you get 25.8484848, or 25.85.

Hope this helps!

The statement which is false is; Choice A; A correlation coefficient of 1 could mean that the relationship is just a coincidence.

Correlation analysis is a statistical measure of how two variables are related. The correlation coefficient (r) is a statistic parameter that tells one the strength and direction of that relationship.

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The number of solutions depends on the relationships between the equations and the variables involved. Here are the three possible cases:

Unique Solution, Infinite Solutions and No Solution.

To determine the number of solutions of a system of equations, you can analyze the equations based on their coefficients and variables. The number of solutions depends on the relationships between the equations and the variables involved. Here are the three possible cases:

Unique Solution: If the system of equations has a unique solution, it means there is only one set of values for the variables that satisfy all the equations simultaneously. Geometrically, this corresponds to the intersection point of the equations in the coordinate plane. In terms of equations, the number of variables should be equal to the number of independent equations. If the number of equations is less than the number of variables, the system is underdetermined and may have infinite solutions. If the number of equations is greater than the number of variables, the system is overdetermined and usually has no solution.

Infinite Solutions: If the system of equations has infinite solutions, it means that there are multiple sets of values for the variables that satisfy all the equations. Geometrically, this corresponds to overlapping or coincident lines (in two dimensions) or planes (in three dimensions). In terms of equations, the number of equations is less than the number of variables, and the equations are dependent or redundant. This typically occurs when one equation can be derived from another equation or when two or more equations represent the same line or plane.

No Solution: If the system of equations has no solution, it means that there are no sets of values for the variables that satisfy all the equations. Geometrically, this corresponds to parallel lines (in two dimensions) or planes (in three dimensions) that do not intersect. In terms of equations, the number of equations is greater than the number of variables, and the equations are inconsistent or contradictory.

By examining the coefficients and variables in the system of equations and comparing their quantities, you can make an initial determination of whether the system has a unique solution, infinite solutions, or no solution. However, to obtain the exact solution(s) or confirm the nature of the solutions, it is often necessary to perform algebraic manipulations or use specific solution techniques like substitution, elimination, or matrix methods.

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Answer:

141.421356237

The maximum rate of change of the function f(x,y) at the point (-2,5) is approximately 215.60.

To find the maximum rate of change of the function f(x,y) = 4x1x2y2 - 7y2 at the point (-2,5), we need to calculate the gradient vector and evaluate it at that point. The first paragraph provides a summary of the answer, and the second paragraph explains the details of the calculations.

The gradient vector of a function represents the direction of the steepest increase at any given point. To find the maximum rate of change, we need to calculate the magnitude of the gradient vector at the point (-2,5).

The gradient vector of f(x,y) = 4x1x2y2 - 7y2 is given by:

∇f = (∂f/∂x1, ∂f/∂x2, ∂f/∂y)

To calculate the partial derivatives, we differentiate each term of the function with respect to the corresponding variable:

∂f/∂x1 = 4x2y2

∂f/∂x2 = 4x1y2

∂f/∂y = -14y

Substituting the values x1 = -2, x2 = 5, and y = 5 into the partial derivatives, we can evaluate the gradient vector at the point (-2,5):

∇f(-2,5) = (4(-2)(5)^2, 4(-2)(5), -14(5))

         = (-200, -40, -70)

The magnitude of the gradient vector represents the maximum rate of change of the function at the given point:

Magnitude = |∇f(-2,5)| = √((-200)^2 + (-40)^2 + (-70)^2)

                       = √(40000 + 1600 + 4900)

                       ≈ √46500

                       ≈ 215.60

Therefore, the maximum rate of change of the function f(x,y) at the point (-2,5) is approximately 215.60.

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

The pairwise comparisons that need to be made for this anova result will be b.3

In order to determine the number of pairwise comparisons needed for a one-way between-subjects ANOVA with three groups, we can use the formula:

N = (k * (k-1)) / 2

Where N represents the number of pairwise comparisons and k represents the number of groups. In this case, k = 3.

Plugging in the values:

N = (3 * (3-1)) / 2

N = (3 * 2) / 2

N = 6 / 2

N = 3

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Given that 1 kilometer = 0.62 mile, 36 inches = 1 yard, and 1 mile = 1760 yards, 1 km has approximately 39,283.2 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

From the problem, the conversion factors are given as

1 kilometer = 0.62 mile

36 inches = 1 yard

1 mile = 1760 yards

To convert 1 kilometer into inches, first, convert 1 kilometer to miles using the conversion factor, 1 kilometer = 0.62 mile

1 km = 0.62 miles

Then, convert miles to yards using the conversion factor, 1 mile = 1760 yards

1 km = 0.62 miles = 0.62 (1760 yards)

1 km = 0.62 miles = 1091.2 yards

Lastly, convert yards to inches using the conversion factor, 36 inches = 1 yard

1 km = 0.62 miles = 1091.2 yards = 1091.2 (36 inches)

1 km = 0.62 miles = 1091.2 yards = 39,283.2 inches

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Answer:

The far left one

Step-by-step explanation:

When you graph it it intercepts the point (-56,0) the other es are wrong because the x and y points are mixed up.

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

a) Issuance of the note:

Debit Cash $285,000

Credit Notes Payable $285,000

b) Adjusting entry:

Debit Interest Expense $1,900

Credit Interest Payable $1,900

c) Repayment of the note:

Debit Notes Payable $285,000

Debit Interest Payable $1,900

Credit Cash $286,900

a) The issuance of the note:

On October 1, Bonnie's Painting Service would record the following journal entry to reflect the borrowing of $285,000 from Nationwide Bank:

Debit: Cash $285,000

Credit: Notes Payable $285,000

This entry increases the Cash account by $285,000 (representing the funds received) and creates a liability in the form of Notes Payable for the same amount.

b) Adjusting entry:

Assuming the interest expense is accrued at the end of each month, an adjusting entry would be made on November 30 to record the interest expense for two months (October and November). Assuming a 4% annual interest rate, the interest expense would be calculated as follows:

Interest Expense = Principal Amount x Annual Interest Rate x (Number of Months / 12)

Interest Expense = $285,000 x 4% x (2/12) = $1,900

The adjusting entry would be:

Debit: Interest Expense $1,900

Credit: Interest Payable $1,900

This entry recognizes the interest expense for the two-month period and creates a liability in the form of Interest Payable.

c) Repayment of the note:

On February 1 (4 months after borrowing), when Bonnie's Painting Service repays the note in full, the following journal entry would be recorded:

Debit: Notes Payable $285,000

Debit: Interest Payable $1,900

Debit: Interest Expense (for the remaining month, if applicable)

Credit: Cash $286,900

This entry reduces both the Notes Payable and Interest Payable accounts by their respective balances, and the remaining cash amount represents the repayment of the note along with any remaining interest expense. The interest expense for the final month would be recorded if the repayment occurs after November 30.

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Answer:

a

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

Answer:

58*

Step-by-step explanation:

We know a full circle is 360* and the rest of the triangle is 293* so 360-293 is 67. Now 67 minus 23 which is 44. 58-14 is 44.

Answer:

Step-by-step explanation:

Hey there!!!,

in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line

i.e y= mx+c

From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.

Comparing the statement withe equation of line we have

  y= 120x+ 635

as "x" is the number of weeks worked and $635 is the constant amount at hand.

Should you need further clarification on this, let me know

Answer:

Step-by-step explanation:

ok, so this is an infinitly repeating function, so you can write it as:

sqrt(12-x)

Although, x is also equal to sqrt(12-x), so

x = sqrt(12-x), and

x^2 = 12-x

x^2-12+x = 0

now just apply the quadratic formula and you're good

hope i helped :D

Answer:

40

Step-by-step explanation:

so it is just like a regular equation like 30+10=40 but your just finding what A means so 40 yea