Which of the following shows √-25 simplified and written as a complex number?
O 25i
O -5i
O 0 + 5i
O 5+i

DOL = ($76,000 / $38,000) = 2 , This means that for every 1% increase in sales, operating income will increase by 2%.

The degree of operating leverage (DOL) measures the percentage change in operating income resulting from a percentage change in sales. To calculate DOL for Bristo Corporation, we need to first calculate the contribution margin per unit. Contribution margin is the difference between the selling price and variable expenses. In this case, the contribution margin per unit is $40 (i.e., $50 - 20% of $50).
Next, we can calculate the total contribution margin by multiplying the contribution margin per unit by the number of units sold:
Total contribution margin = 1900 units x $40 per unit = $76,000
Finally, we can calculate the DOL using the following formula:
DOL = (contribution margin / operating income)
Operating income is the difference between total revenue and total expenses (fixed and variable):
Operating income = total revenue - total expenses
Operating income = (1900 units x $50 per unit) - (20% x 1900 units x $50 per unit + $66000)
Operating income = $38,000
Therefore, DOL = ($76,000 / $38,000) = 2
This means that for every 1% increase in sales, operating income will increase by 2%.

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Answer:

1.1 dollar is unit price per 100grams

Answer: yes

Step-by-step explanation:

Answer:

The volume of the irregular figure would be 102 \(cm^3\).

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is \(l*w*h\), where \(l\), \(w\), and \(h\), represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be \(6*3*5=30*3=90 cm^3\), and the volume of the smaller rectangular prism would be \(3*2*2=6*2=12 cm^3\). So the volume of the entire irregular figure would be \(90+12=102 cm^3\).

Answer:

102

Step-by-step explanation:

Large rectangle:

6 × 3 × 5 = 18 × 5 = 90

Small rectangle:

7 - 5 = 2

3 × 2 × 2 = 6 × 2 = 12

90 + 12 = 102

Hope this helped.

Answer:

6 hours

Step-by-step explanation:

X is the number of hours

18x+44=152

18x +44 - 44 = 152 - 44

18x = 108

18x/18 = 108/18

x = 6

check: (18*6) + 44 = 152

108 + 44 = 152

152 = 152

Answer:

X=6

Step-by-step explanation:

Simplify:

(2p^3x)^3 = 8p^54 into:

2p^3x = 2p^18

p^3x = p^18

3x = 18

x=6

Answer:

5th term=20 6th term=23

Step-by-step explanation:

okay so its going up in 3

starting from 8

8,11,14,17,20,23

Element: 1 2 3 4 5, Population 1: 21 28 18 20 26, Population 2: 21 26 16 19 26, Difference: 0 2 2 1 0 . We find the mean of the differences d = -4.6. The standard deviation Sd = 11.8.  The answer is Reject H0. There is sufficient evidence to conclude that d > 0.

(a) we need to compute the difference value for each element. Using Population 1 − Population 2, we get-

Element: 1 2 3 4 5

Population 1: 21 28 18 20 26

Population 2: 21 26 16 19 26

Difference: 0 2 2 1 0

(b), we need to compute d. d is the mean of the differences. So, d = (-20 -6 +2 +1 +0)/5 = -4.6

(c) we need to compute the standard deviation sd. We can use the formula: sd = sqrt((∑(xi - d)^2)/(n-1)) where xi is the difference value for each element and n is the number of differences. sd = sqrt(((-20+4.6)^2 + (-6+4.6)^2 + (2+4.6)^2 + (1+4.6)^2 + (0+4.6)^2)/4) = 11.8

(d) we need to conduct a hypothesis test using α = 0.05. The null hypothesis H0: d ≤ 0 and alternative hypothesis Ha: d > 0. The test statistic is t = (d - μd)/(sd/sqrt(n)) = (-4.6 - 0)/(11.8/sqrt(5)) = -1.961. The p-value is P(T > t) = P(T > -1.96) = 0.051. Since p-value < α, we reject H0 and conclude that there is sufficient evidence to conclude that d > 0.

Therefore, the answer is Reject H0. There is sufficient evidence to conclude that d > 0.

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Answer:

48,000

Step-by-step explanation:

The cost function by the given data is C(x) = 40,000 + 8x.

We are given that;

Monthly fixed cost = $40,000

The product cost for each unit produced= $8

Now,

The cost function is a function that gives the total cost of producing a certain number of units. The cost function depends on the fixed cost and the variable cost per unit. The fixed cost is the amount of money that the manufacturer has to pay regardless of how many units are produced, such as rent, salaries, utilities, etc. The variable cost per unit is the amount of money that the manufacturer has to pay for each unit produced, such as materials, labor, etc.

In this case, the fixed cost is $40,000 and the variable cost per unit is $8. To find the cost function, we need to add the fixed cost and the product of the variable cost per unit and the number of units.

We can use x to represent the number of units and C(x) to represent the cost function.

Then we have:

C(x) = fixed cost + (variable cost per unit)(number of units)

C(x) = 40,000 + (8)(x)

Therefore, by algebra the answer will be C(x) = 40,000 + 8x.

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Answer:

0.0005

Step-by-step explanation:

       0 0. 0 0 5

5 9 2 8 3 2. 0 0 0

     − 0        

       3 2      

     −   0      

       3 2 0    

     −     0    

       3 2 0 0  

     −       0  

       3 2 0 0 0

     − 2 9 6 4 0

         2 3 6 0

The value of P(S or T) is 71/110.

What is mutually exclusive event?

If two events cannot happen simultaneously, they are mutually exclusive or discontinuous. The results of a single coin flip, which can result in either heads or tails but not both, serve as an obvious illustration.

As given,

S and T are mutually exclusive events. P(S)= 6/11 , P(T)= 1/10.

By using,

P(S ∪ T) = P(S) + P(T) - P(S ∩ T)

              = 6/11 + 1/10 - P(S ∩ T)

              = 71/110 - P(A ∩ T)

But the events S and T are mutually exclusive events.

therefore,  P(S ∩ T) = 0.

So,

P(S ∪ T) = 71/110

Therefore, value of P(S or T) is 71/110.

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The equation y = 3x - 2 represents a linear function because it satisfies the criteria of a linear equation.

A linear function is an algebraic expression that describes a straight line. The equation y = 3x - 2 is in the form of y = mx + b, where m represents the slope of the line and b represents the y-intercept.

In this specific equation, the coefficient of x is 3, which indicates that the line has a slope of 3. This means that for every unit increase in the x-coordinate, the y-coordinate will increase by 3 units. The constant term -2 represents the y-intercept, which is the point where the line intersects the y-axis (when x = 0).

The line described by y = 3x - 2 is conclusive because it has a constant slope and a unique solution for every input value of x.

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In y = 3x - 2, how is it a linear function and why is it so conclusive

Answer:

The answer is $2.14 per pound of apples.

Step-by-step explanation:

7.29/3.4= roughly 2.14.

Answer:

is 24.786

Step-by-step explanation:

multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786

Answer:

2/3

Step-by-step explanation:

This question is asking you to simplify the fraction 40/60. You can factor out the number 20 from both:

         \(\frac{2(20)}{3(20)}\)

Now you can cancel 20 from the top (numerator) and the bottom (denominator) and get 2/3 as your final answer.

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The product of the slope of the perpendicular lines are -1

y = -1/4x - 8

Slope = -1/4

D) y = 4x + 2

Slope = 4

\(4 * \dfrac{-1}{4}=-1\)

The correct option is c. -μx¯=84;σx¯=6; distribution approximately normal.

The option that best describes what we know about the sampling distribution of means for his sample is: -μx¯=84;σx¯=6; distribution approximately normal. The probability distribution of all possible sample means of a given size that can be obtained from a population is referred to as the sampling distribution of means. It is obtained by calculating the mean of each sample and repeatedly drawing all possible random samples of a certain size from the population.

The formula to calculate the standard deviation of the sampling distribution of means is given by:σx¯ = σ/√nWhere,σ = the standard deviation of the population. n = the sample size.

In the given question,μ = 84 g,σ = 18 g, and n = 9 g.

To find σx¯, we use the formula:σx¯ = σ/√nσx¯ = 18/√9σx¯ = 18/3σx¯ = 6 g.

Thus, the correct option is c. -μx¯=84;σx¯=6; distribution approximately normal.

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The sum of deviations of the individual observations from their sample mean is always equal to zero.

The sum of deviations of the individual observations from their sample mean is always equal to zero. This is because the sum of all the deviations is the sum of a positive and a negative value. When we add the negative value to the positive value, the net result is always zero.To illustrate this, let's take an example. Suppose we have a sample of 5 observations: 2, 4, 6, 8, 10. The mean of the sample is 6. The deviations of the individual observations from the sample mean can be calculated as follows:

2-6=-4

4-6=-2

6-6= 0

8-6= 2

10-6=4

When we add the deviations, we get: -4+(-2)+0+2+4=0. The sum of all the deviations is always equal to zero.

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Answer:

158

Step-by-step explanation:

given x = 70

=> y = 3(70) -52 = 210 -52 = 158

the ice cream they can expect to sell = 158

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

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Answer:

4 $$$$$$$

Step-by-step explanation:

noice im here noice

Since the p-value is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that union efforts to organize have increased union membership.

We can use a one-sample proportion test to determine if the proportion of union members in the sample is significantly different from the population proportion of 11.3%.

The null hypothesis is that the population proportion is equal to 11.3%:

H0: p = 0.113

The alternative hypothesis is that the population proportion is greater than 11.3%:

Ha: p > 0.113

The sample proportion is P = 58/400

= 0.145

The standard error of the sample proportion is:

SE = √(p*(1-p)/n)

= √(0.113*(1-0.113)/400)

= 0.0197

The test statistic is:

z = (P - p) / SE

= (0.145 - 0.113) / 0.0197

= 1.6244

The p-value for this test is the probability of getting a z-score of 1.6244 or greater, assuming the null hypothesis is true:

p-value = P(Z > 1.6244)

= 0.0515 (using a standard normal distribution table)

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The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:

x is greater than or equal to 39

The second one is 11

Step-by-step explanation:

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. For a right triangle, use the Pythagorean Theorem. For an isosceles triangle, use the area formula for an isosceles. If you know some of the angles and other side lengths, use the law of cosines or the law of sines.

Answer:

t = -0.22secs and 0.85secs

Step-by-step explanation:

Given the expression

h = –16t² + vt + c.

If a child tosses a ball upward with a starting velocity of 10 ft/s from a height of 3 ft, then;

v = 10, c = 3

Since we are to let h = 0, then the equation becomes:

0 = –16t² + 10t + 3

Multiply through by a minus sign

16t² - 10t - 3 = 0

Factorize the reulting expression:

t = -(-10)±√(-10)²-4(16)(-3)/2(16)

t = 10±√100+192/32

t = 10±√292/32

t = 10±17.09/32

t = 10-17.09/32 and 10+17.09/32

t = -7.09/32 and 27.09/32

t = -0.22secs and 0.85secs

Answer:

0.8 s

Step-by-step explanation:

I got it right in grandpoint.

Answer:

does literally everyone use this to get the answer to their school work  lol

Step-by-step explanation:

Answer:

Todd's

Step-by-step explanation:

Given the expression x^2+6x+5=8, we are to determine which whether Imani or Todd method will work

Imani method might not work because he hasn't written the equation in standard form before factorizing. He should have equated the expression to zero first before factorizing and finding the zeros of the expression. The equation should have been written in the form ax²+bx+c = 0 first.

For Todd, his method will work because he used the completing the square method. The value at the right hand may not necessarily be zero before applying the rule. The idea is to make the quadratic equation complete and a perfect square.

This is achieved by adding the half of coefficient of x to both sides of the expression before simplifying.

From the expression x²+6x+5 = 8 we can see that adding 4 to both sides will make the quadratic equation on the left a perfect square.

x²+6x+5= 8

x²+6x+5+4= 8 +4

x²+6x+9 = 12

x²+3x+3x+9 = 12

x(x+3)+3(x+3) = 12

(x+3)(x+3) = 12

(x+3)² = 12

We can see that the expression at the left hand is now a perfect square. Hence Todd solution strategy will work

Answer:

only todd i got it from khan

Step-by-step explanation:

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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