What is the quotient of 1 over (1 plus the square root of 3)?

Answers

Answer 1

Answer: You can rationalize the denominator by multiplying by 1 in the form of the conjugate of the denominator divided by itself.

$(1)/(1+√(3))=(1)/(1+√(3))\cdot (1-√(3))/(1-√(3))\n\n=(1-√(3))/(1^(2)-(√(3))^(2))=(1-√(3))/(1-3)\n\n=(√(3)-1)/(2)$

This eqvaluates to approximately 0.3660254037844386.

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Five thirds divided by seven thirds can be solved using which of the following

Answers

Answer: 5/7

Step-by-step explanation: 5x3 = 15 and 3x7=21 , if u simplify it equals to 0.7143 and that is 5/7

What is the relationship between these two values? 8 and 400

Answers

Final answer:

The numbers 8 and 400 have different orders of magnitude. They also possess a ratio relationship, with 400 being 50 times bigger than 8. While not directly related through square and square root, both numbers share these relationships with other numbers.

Explanation:

The relationship between the values 8 and 400 can be understood through the concept of order of magnitude in mathematics. The order of magnitude is a rough measure of the size of a number, typically based on powers of 10.

An important factor in analyzing this relationship is understanding the concept of ratio and interval level data. Unlike interval level data, the ratio between the numbers, in this case 8 and 400, carries meaningful information in a ratio scale data. In this case, 400 is 50 times bigger than 8.

Another mathematical relationship between 8 and 400 is square and square root, since 400 is the square of 20, and 8 is the square root of 64. So, although there is no direct square or square root relationship between 8 and 400, they share these relationships with other numbers.

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Answer:

They both come in the 8 times table.

Select all the correct answers.Which of the following should be subtracted from a check register balance when comparing it with a bank statement?
ATM withdrawal fee
outstanding deposit
interest earned
NSF fee

Answers

Final answer:

When comparing a check register balance with a bank statement, you should subtract the ATM withdrawal fee and NSF fee, but not the interest earned.

Explanation:

ATM withdrawal fee: This should be subtracted as it represents the amount of money you have withdrawn from the bank but is not reflected in the check register balance.
NSF fee: This should be subtracted as it represents a fee charged for a bounced check, indicating a difference between the check register balance and the bank statement.
Interest earned: This should not be subtracted as it represents additional money earned on the bank account and should be added to the check register balance.

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Can somebody pleaase answer for me

Answers

Just read carefully the directions and ask google for help because other is don’t know it and it’s too hard to solve it
-Just sayi’n

Yes look on google have a good day

Find an equation of the line having the given slope and containing the given point.Slope is -2
Line through (5, -6)

Answers

Answer:

y = -2x + 4

Step-by-step explanation:

Pre-Solving

We are given that a line has a slope (m) of -2 and passes through (5, -6).

We want to write the equation of the line.

There are three ways to write the equation of the line:

Slope-intercept form, which is y=mx+b, where m is the slope and b the value of y at the y-intercept.
Standard form, which is ax+by=c, where a, b, and c are free integer coefficients.
Point-slope form, which is $y-y_1=m(x-x_1)$ , where m is the slope and $(x_1,y_1)$ is a point.

Any of these forms will work, however let's put it into slope-intercept form as that is the most common way.

Solving

As we are already given the slope, we can immediately plug that into the equation.

Substitute m with -2.

y = -2x + b

Now, we need to solve for b.

As the equation passes through (5, -6), we can use its values to help solve for b.

Substitute 5 as x and -6 as y.

-6 = -2(5) + b

Multiply.

-6 = -10 + b

Add 10 to both sides.

4 = b

Substitute 4 as b.

y = -2x + 4

Kent Co. manufactures a product that sells for $60.00. Fixed costs are $285,000 and variable costs are $35.00 per unit. Kent can buy a new production machine that will increase fixed costs by $15,900 per year, but will decrease variable costs by $4.50 per unit. What effect would the purchase of the new machine have on Kent's break-even point in units?

Answers

0riginal break even point:

285000/ 60/35 = $166,250

New break even point = new fixed costs / ( selling price - variable cost/ selling price)

New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60

300,900 / 60-30.50/60 = $612,000

The new break even point increases.

Final answer:

With the new machine, Kent Co.'s break-even point in units would decrease, from 11,400 to 10,200 units. Despite increasing fixed costs, the new machine drives down variable costs, effectively lowering the total number of units needed to cover costs.

Explanation:

The concept under consideration here is the break-even point calculation in unit terms. The break-even point (units) is calculated by dividing the total fixed costs by the contribution margin per unit, which is sales price per unit minus variable cost per unit.

Currently, Kent Co.'s break-even point can be found using its original costs:

Fixed costs: $285,000
Sales price per unit: $60
Variable cost per unit: $35
Contribution margin per unit: $60 - $35 = $25
Break-even point (units): $285,000 / $25 = 11,400 units

If Kent were to purchase the new machine, its costs would alter as follows:

New fixed costs: $285,000 + $15,900 = $300,900
New variable cost per unit: $35 - $4.50 = $30.50
New contribution margin per unit: $60 - $30.50 = $29.50
New break-even point (units): $300,900 / $29.50 = 10,200 units

Thus, purchasing the new machine would in fact lower Kent Co.'s break-even point to 10,200 units, thereby improving its cost efficiency.

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Suppose the correlation coefficient between a predictor variable (a person’s height, measured in centimeters) and a response variable (a person’s weight, measured in kilograms) is 0.72.Suppose that we change the units used to measure height from centimeters to inches and the units used to measure weight from kilograms to pounds, and then we recompute the correlation coefficient. Which of the following would be true?Select one:a. The new correlation coefficient should be the same: R = 0.72.b. The new correlation coefficient should be R = 0.72 × (2.54/2.2) ≈ 0.83.c. The new correlation coefficient should be R = 0.72 × (2.2/2.54) ≈ 0.62.d. The new correlation coefficient should be something other than the options given here.