6Given the angle measures: 27°, 41°,and 112°, which of the following wouldbe true?A. A unique triangleB. More than one triangleC. No triangleD. An isosceles triangle

Answer:

1 solution (x = 1.5)

Step-by-step explanation:

2x + 2 - 3x = 3x - 4

First, combine like terms

2 - x = 3x - 4

Add 4 to both sides

6 - x = 3x

Add x to both sides

6 = 4x

Divide both sides by 4

1.5 = x

If you're looking for all it's forms,

Exact form: \(\frac{3}{2}\) (or 3/2)

Decimal form: 1.5

Mixed Number form: \(1\frac{1}{2}\) (or 1 1/2)

OR

Two solutions because it's a quadratic equation:

1. x = -1/2 = -0.500

2. x = 2

​

1. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.

2. Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040.

3. The bid price would have been $70,560.

The plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar ($4,032,000 ÷ $1,680,000).

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200 ($30,000 × 0.34).  

The predetermined overhead rate for each department is:

Department A = $0.60 per direct labour dollar ($672,000 ÷ 1,120,000)

Department B = $0.96 per direct labour dollar ($1,344,000 ÷ $1,400,000)

Department C = $0.72 per direct labour dollar ($1,008,000 ÷ $1,400,000)

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840 ($48,000 × 0.205 + $84,000 × 0.172 + $54,000 × 0.144).

Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500 ($18,000 + $20,000 + $10,200).

Thus, the bid price is $72,750 (150% × $48,500). Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040 ($18,000 × 0.205 + $20,000 × 0.172 + $10,000 × 0.144 + $18,000 + $20,000 + $10,000).

Thus, the bid price would have been $70,560 (150% × $47,040).

Hence, the solution to the problem is as follows: The company's plantwide predetermined overhead rate for the current year is $2.40 per direct labour dollar. The amount of manufacturing overhead cost that would have been applied to the Koopers job is $10,200.

Suppose that instead of using a plantwide predetermined overhead rate, the company had used departmental predetermined overhead rates based on direct labour cost. The predetermined overhead rate for each department for the current year is:

Department A = $0.60 per direct labour dollar

Department B = $0.96 per direct labour dollar

Department C = $0.72 per direct labour dollar

The amount of manufacturing overhead cost that would have been applied to the Koopers job is $9,840.Using a plantwide predetermined overhead rate, the total manufacturing cost of the Koopers job is $48,500.

Thus, the bid price is $72,750.Using departmental predetermined overhead rates, the total manufacturing cost of the Koopers job is $47,040. Thus, the bid price would have been $70,560.

Learn more about predetermined overhead rates from the given link

https://brainly.com/question/26372929

#SPJ11

Answer:

The numbers are 36 and 68.

Step-by-step explanation:

Let the smaller number be x.

"The larger number is four less than two times the smaller

number."

The larger number is

2x - 4

The sum of the numbers is x + 2x - 4, or 3x - 4.

"The sum of the numbers is 104."

3x - 4 = 104

3x = 108

x = 36

The smaller number is 36.

The larger number is 2x - 4, or

2x - 4 = 2(36) - 4 = 72 - 4 = 68

The larger number is 68.

Answer: The numbers are 36 and 68.

If the cat cannot distinguish between red and green, the probability that it will push the red button at least 12 times out of 15 is 0.000000188.

Yes, cats have color vision.

They are not completely color-blind, but their ability to distinguish colors is limited compared to humans.

Their color vision is similar to that of a human with red-green color blindness or those who have difficulty seeing some shades of red and green.

The cat is taught to press a green button to receive a food reward.

After several practice trials, the cat is given a choice between a green and a red button, with the red button being rewarded.

The position of the button is controlled for.

The cat is tested 15 times.

The probability that the cat will push the red button at least 12 times out of 15 if it cannot distinguish between red and green is:0.000000188.

Here's how to calculate the probability: P(X ≥ 12) = P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

We can find each individual probability using the binomial probability formula:

\(P(X = k) = (n choose k) * p^k * (1-p)^(n-k)\)

where P(X = k) is the probability of getting k successes,

n is the number of trials, p is the probability of success,

and (n choose k) is the binomial coefficient or the number of ways to choose k objects from n distinct objects without regard to order.

We know that n = 15 and p = 0.5 (since the cat cannot distinguish between red and green, it has a 50/50 chance of pressing the red button).

\(P(X = 12) = (15 choose 12) * 0.5^12 * 0.5^3\)

= 455 * 0.000244 * 0.125

= 0.000139P(X = 13)

\(= (15 choose 13) * 0.5^13 * 0.5^2\)

= 105 * 0.000122 * 0.25

= 0.000767P(X = 14)

\(= (15 choose 14) * 0.5^14 * 0.5^1\)

= 15 * 0.000061 * 0.5

= 0.000458P(X = 15)

\(= (15 choose 15) * 0.5^15 * 0.5^0\)

\(= 1 * 0.000031 * 1 = 0.000031P(X ≥ 12)\)

= 0.000139 + 0.000767 + 0.000458 + 0.000031

= 0.000000188

For similar question on probability.

https://brainly.com/question/27371271

#SPJ11

Answer:

5894 seconds

Step-by-step explanation:

Convert  1 hour 38 min 14 seconds to seconds​

1 hour = 3600 seconds

1 min = 60 seconds

38 mins = 60 x 38 = 2280 seconds

Now add all numbers together

3600 + 2280 + 14 = 5894 seconds

So, 1 hour 38 minutes 14 seconds is 5894 seconds.

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

Learn more about Exponents :

https://brainly.com/question/30441288

#SPJ4

The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

Answer:

46/10 or 23/5

Step-by-step explanation:

Answer:

46/10

Step-by-step explanation:

I got it right on imagine math

Answer:

The derivative of the function is:

\(f'(x)=1-\frac{1}{x^{2}}\)

Step-by-step explanation:

The first principle is given by:

\(f'(x)=\frac{dy}{dx}=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}\)

The function here is:

\(f(x)=x+\frac{1}{x}\)

Now, using the first principle we have:

\(f'(x)=lim_{h\rightarrow 0}\frac{(x+h)+\frac{1}{(x+h)}-x-\frac{1}{x}}{h}\)  

\(=lim_{h\rightarrow 0}\frac{h+\frac{1}{(x+h)}-\frac{1}{x}}{h}\)    

\(=lim_{h\rightarrow 0}\frac{h-\frac{h}{x(x+h)}}{h}\)    

\(=lim_{h\rightarrow 0}\frac{h(1-\frac{1}{x(x+h)})}{h}\)

\(=lim_{h\rightarrow 0}1-\frac{1}{x(x+h)}\)

\(=1-\frac{1}{x^{2}}\)

Therefore, the derivative of the function is:

\(f'(x)=1-\frac{1}{x^{2}}\)

I hope it helps you!  

Answer:

c

Step-by-step explanation:

because this is very easy and i got it right on the test got it right on edge

Answer:

HCF = 2

Step-by-step explanation:

➲The HCF or GCF is the highest factor that occurs in all listed numbers, so lets start by listing all the factors and find the highes shared number.

▶The factors of 16 are: 1, 2, 4, 8, 16

▶The factors of 50 are: 1, 2, 5, 10, 25, 50

▶The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

➲As we can see the highest number they share is 2 so the HCF or GCF is 2.

Brainliest is much appreciated! Hope this helped!

Answer:

true  rectangle have two sets of parallel sides and has four right angles.

Step-by-step explanation:

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

Salario reducido= $2.880

Step-by-step explanation:

Dada la siguiente información:

Salario semanal= $3200

Porcentage de reducción= 10%

Para calcular el salario que recibira injustamente María, debemos usar la siguiente formula:

Salario reducido= salario semanal* (1 - porcentage de reducción)

Salario reducido= 3.200*0,9

Salario reducido= $2.880

The  probability that a 3 standard deviation event never occurs out of 1000 trials is approximately 2.3 × 10^-6.

Assuming that the probability of a 3 standard deviation event occurring in a single trial is low, we can use the binomial distribution to estimate the probability that such an event never occurs out of n trials.

Let p be the probability of a 3 standard deviation event occurring in a single trial. Since a 3 standard deviation event is defined as an event that is 3 standard deviations away from the mean, we can use the standard normal distribution to calculate this probability. The probability of a standard normal random variable being greater than 3 is approximately 0.0013. Therefore, we can assume that p = 0.0013.

Let X be the number of trials out of n in which a 3 standard deviation event occurs. Then X has a binomial distribution with parameters n and p. The probability that a 3 standard deviation event never occurs out of n trials is given by:

P(X = 0) = (1 - p)^n

Substituting p = 0.0013, we get:

P(X = 0) = (1 - 0.0013)^n

To calculate the probability that a 3 standard deviation event never occurs out of n trials, we need to know the value of n. If n is large, we can use the normal approximation to the binomial distribution. The normal approximation to the binomial distribution states that if n is large and p is not too close to 0 or 1, then X has approximately a normal distribution with mean np and variance np(1-p). In this case, we can use the following formula to estimate the probability that a 3 standard deviation event never occurs out of n trials:

P(X = 0) ≈ Φ((0.5 - np) / sqrt(np(1-p)))

where Φ is the cumulative distribution function of the standard normal distribution.

For example, if we take n = 1000, then np = 1.3 and np(1-p) ≈ 1.2987. Using the above formula, we get:

P(X = 0) ≈ Φ((0.5 - 1.3) / sqrt(1.2987)) ≈ Φ(-4.51) ≈ 2.3 × 10^-6

Therefore, the probability that a 3 standard deviation event never occurs out of 1000 trials is approximately 2.3 × 10^-6.

Visit to know more about Probability:-

brainly.com/question/13604758

#SPJ11

Based on earth time:

1 day = 24 hours

1 hr = 60 minutes

Let's convert the given information regarding Mercury's rotation into hours only. Let's start with 58 days first.

Hence, 58 days equals 1,392 hrs.

Moving on to the next given information that is 15 hours, no need to convert this to hours because it is already in hours.

To the next given information that is 30 minutes, let's convert this to hours.

30 minutes is equal to half an hour or 0.5 hr.

From those converted data, we have:

It takes Mercury 1,407.5 hrs to do a full rotation.

The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper

The percentage of copper in the brass = 65%

Therefore the quantity of copper in the brass = 65/100= 0.65 pounds

This means that 1 pound brass contains = 0.65 pounds of copper

The quantity of copper in 120 pounds of brass = 120 * 0.65

                                                                             = 78 pounds of copper.

Learn more about copper here:

https://brainly.com/question/24856041

#SPJ1

Answer: 11 1/9

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

$12.50 ÷ 5 bags = $2.5 per bag

Answer:

2.50

Expination:

devide 12.50 by the total amount of dog food purchased (5 bags)

12.50/5 = 2.50

the price per bag is $2.50

Answer: Ratio: 2:3

2 ==> 1st term

Step-by-step explanation:

22.78125/4.5=5.0625

5.0625^(1/(7-3))=

5.0625^(1/4)=1.5 ==> Ratio: 1:1.5 ==> 2:3

4.5 / 1.5^(3-1)=

4.5 / 1.5^2=

4.5 / 2.25 = 2 ==> 1st term

The first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

Here, we have to find the common ratio (r) and the first term (a) in the geometric progression, we'll use the formula for the nth term of a geometric sequence:

\(u_n = a * r^{(n-1)\)

where:

\(u_n\) is the nth term,

a is the first term,

r is the common ratio,

n is the position of the term in the sequence.

Given u3 = 4.5 and u7 = 22.78125:

For n = 3:

\(u_3 = a * r^{(3-1)}\\4.5 = a * r^2\)

For n = 7:

\(u_7 = a * r^{(7-1)}\\22.78125 = a * r^6\)

Now, we have two equations:

\(a * r^2 = 4.5\\a * r^6 = 22.78125\)

Divide equation 2 by equation 1:

\((a * r^6) / (a * r^2) = 22.78125 / 4.5\)

Simplify:

\(r^4 = 5.0625\)

Now, take the fourth root of both sides to find the value of r:

r = √(5.0625)

r ≈ ± 1.5

Since r is the common ratio, it cannot be negative in a geometric progression.

So, the common ratio (r) is 1.5.

Now, we can find the first term (a) using equation 1:

\(a * r^2 = 4.5\)

Substitute the value of r (1.5):

\(a * (1.5)^2 = 4.5\)

a * 2.25 = 4.5

Divide by 2.25:

a ≈ 4.5 / 2.25

a ≈ 2

Therefore, the first term (a) in the geometric progression is approximately 2.

The common ratio (r) is 1.5.

Learn more about geometric mean from the given link

brainly.com/question/28562725

#SPJ7

The type of research design used in the study is of:

Quantitative research design.

There are two types of research design, and they are classified as follows:

In this problem, the rates of cyberbullying will be analyzed, which is a numeric measure, hence it is a quantitative research design.

More can be learned about the types of research design at https://brainly.com/question/11102084

#SPJ1

Answer:

Step-by-step explanation:

\(5\frac{1}{6}=\frac{(5*6)+1}{6}=\frac{31}{6}\)

Answer:

31/6 (improper fraction).

Step-by-step explanation:

5 1/6 = (6 × 5) + 1/6 = 31/6

31/6 is the improper fraction.

Raquel might submit an application for finance or a loan, purchase a reconditioned or used computer, or borrow one from a friend or relative. Making a budget and carefully weighing her alternatives can help her save money for a computer.

If Raquel needs to buy a computer for her new job and doesn't have any cash to pay for it, there are a few options she could consider.

The first option would be to apply for a loan or financing. Many electronics retailers offer financing options with little or no interest, allowing Raquel to make payments over time without having to pay a large amount upfront.

Another option is to look for a used or refurbished computer. This could be a cheaper alternative to buying a brand new computer, and it may be possible to find one that is still in good condition. Raquel could try checking online marketplaces like Craigslist or eBay, or local secondhand shops or computer repair stores. However, she should make sure to do her research and buy from a reputable seller.

Lastly, Raquel could consider borrowing a computer from a friend or family member. This could be a temporary solution until she is able to save up enough money to buy her own computer.

Overall, it's important for Raquel to carefully consider her options and choose the one that works best for her situation. It may be helpful for her to make a budget and prioritize her expenses to see where she can cut back in order to save money for a computer.

Summary: Raquel could apply for a loan or financing, buy a used or refurbished computer, or borrow one from a friend or family member. She should carefully consider her options and make a budget to save money for a computer.

For more questions on finance

https://brainly.com/question/31299651

#SPJ8

Answer:

1. 24.8

2. 21

Step-by-step explanation:

have a good day!!!!

Answer:

Step-by-step explanation:

The area of any square = s^2 where s is the length of one side.

Area = s^2

s  = 6.2

Area = 6.2^2

Area = 36.44 in^2

Perimeter = 4s

s = 5 1/4 = 5.25

Perimeter = 4 * 5.25

Perimeter = 21 in^2

Answer:

18

Step-by-step explanation:

Answer:

8 is the answer

Step-by-step explanation:

Answer: i think is D

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

It tells you that 1000g are in 1 kg. All you need to do is convert your 15 kg to 15000 g.

Answer:

Step-by-step explanation:

1 kg = 1000 g

15 Kg = 15 *1000 = 15000 g

7.75 g = 1 cm³

1 g = 1 ÷ 7.75 cm³

15000 g = \(\frac{1}{7.75}*15000 = 1935.48\)

              = 1935 cm³

Inner diameter = 6 cm

Inner radius = r = 6/2 = 3 cm

Outer radius = R = inner radius  + thickness

  R = 3 + 2 = 5 cm

Volume of cylindrical pipe = 1935 cm³

\(\pi h*(R +r)(R - r) = 1935\\\\3.14 * h *( 5 + 3)(5 - 3) = 1935 \\\\3.14 * h * 8 *2=1935\\\\h = \frac{1935}{3.14*8*2}\\\\h = 38.52 = 39\)

h = 39 cm

Answer:

X'= (-3,6)

Y'=(7,8)

Z'=(11,2)

Step-by-step explanation:

when a point is reflected over the y axis, (x,y) becomes (-x,y). so the x value is just multiplied by -1

Answer:

X′(−3, 6), Y′(7, 8), Z′(11, 2)

Step-by-step explanation:

Imagine you are a spy who needs to infiltrate a secret base located at the origin of the coordinate plane. You have three accomplices, X, Y, and Z, who are waiting for you at different points on the plane. X is at (3, 6), Y is at (-7, 8), and Z is at (-11, 2). You have a device that can reflect any point over the y-axis, which you plan to use to confuse the enemy guards. You decide to reflect X, Y, and Z over the y-axis to create X', Y', and Z', respectively. What are the coordinates of these new points?

To find the coordinates of X', you simply change the sign of the x-coordinate of X. So, X' is at (-3, 6). Similarly, to find the coordinates of Y' and Z', you change the sign of the x-coordinates of Y and Z. So Y' is at (7, 8) and Z' is at (11, 2). Now you have three new points that are symmetric to the original ones over the y-axis.

But wait! There's a problem. The enemy guards have noticed that something is wrong. They see four points on their radar: one at the origin (you) and three on the right side of the y-axis (X', Y', and Z'). They realize that these points are reflections of some other points on the left side of the y-axis. They quickly deduce that there must be a spy among them. They start searching for you.

You need to act fast. You use your device again to reflect yourself over the y-axis. This creates a new point at (-0, 0), which is exactly the same as (0, 0). You have effectively disappeared from their radar. You sneak into the base while they are busy looking for you on the wrong side of the plane.

You have successfully completed your mission. Congratulations! You are a master of reflections.

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

Answer:

D. 7n - 3 = 32 Because is contains the neccesary amount of variables needed to be considered as an expression.

Step-by-step explanation:

Hope this helps you! :D