(√14 + √10i)(√14 - √10i)

Answer:

a)It can hold 990ft³

b) 940.5ft³

c) 7,034.94 gallons of water

d) 58,741.749 pounds at 95% capacity

Step-by-step explanation:

A) Volume in cubic feet = Length (feet) x Width (feet) x Height (feet)

= 18 × 11 × 5 = 990ft³

B) 990ft³ × 95%

➟ 990 × 0.95

➟ 940.5ft³

C) 7.48 gallons × 940.5ft³

➟ 7,034.94galllons

D) 7034.94gallons × 8.35 pounds

➟ 58,741.749pounds

The value of [tex]P(\frac{A}{B_{1} })[/tex] is [tex]\frac{3}{5}[/tex] and the value of [tex]P(\frac{A}{B_{2} })[/tex] is [tex]\frac{4}{5}[/tex] .

Probability distribution is the mathematical function that gives the probabilities of occurrence of different possible outcomes for an experiment.

Given the 4 white and 2 black balls in the first box and 1 white and 3 black balls in the second box.

Let [tex]B_{1}[/tex] is the event that the transferred ball is white and [tex]B_{2}[/tex] is the event that the transferred ball is black. Let A be the event that the ball drawn from the second box after the transfer is black.

After 1 ball is transferred from the first box to the second box, there will be total of 5 balls in the second box.

Now, the probability of getting the black ball from the second box after transferring the white ball is [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and the probability of getting a black ball from the second box after transferring the black ball is [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex].

Hence, [tex]P(\frac{A}{B_{1} })=\frac{3}{5}[/tex] and [tex]P(\frac{A}{B_{2} })=\frac{4}{5}[/tex]

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Answer:

  y = 13

Step-by-step explanation:

You want to "solve" y=3(0)^3-2(0)^2+13.

An exponent signifies repeated multiplication. That is ...

  (0)^3 = 0×0×0

Of course, anything times zero is zero, so the first and second terms are both zero:

  3(0)³ -2(0)² = 0 -0 = 0

Adding 0 to 13 does not change its value.

  y = 3(0³) -2(0²) +13 = 0 -0 +13

  y = 13

__

This is one that can be evaluated "by inspection." In general, a polynomial evaluated at x=0 will have the value of the constant term: all of the variable terms become zero.

If that is too much work, you can always enter the expression into your calculator.

Answer:

In 2 hrs, the jet will travel 1,440 kilometers. In 6 hrs, the jet will travel 4,320 kilometers.
So in 4 hours the jet will travel 2280 km

Step-by-step explanation:

We're given:

First, let's simplify the 60 km/5 minutes to km/1 minute:

60 km/5 minutes

Simplify:

12 km/1 minutes

Now, multiply it by 60 minutes to find the km/hour:

12 km/1 minutes x 60 minutes

720 km

720 km/hour

Finally, multiply it by 4 hours:

720 km/hour x 4 hours

2880 km

2880 km

Answer:

(0,-24)

y-int-->x=0

f(0)=(0-8)(0+3)

f(0) =(-8)(3)

f(0)= -24 where: f(x)=y

y= -24

Answer:

B. Data are collected about a population.

Step-by-step explanation:

Data collected isn't experimenting. Experimenting is when you modify certain things in the population, not just take data from it. Hence, option b is just observation, not experimenting.

The equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We need to find the equivalent expression of 2y − 7x + 4x² + 3y + 7x.

2y − 7x + 4x² + 3y + 7x.

Solve the like terms in the expressions;

2y + 3y  − 7x + 7x + 4x²

5y + 4x²

Therefore, the equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.

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The complete question is;

Find the equivalent expression of 2y − 7x + 4x2 + 3y + 7x.

A 4x2 − 14x + 5y

B 4x2 − 14x

C 4x2 + 14x + 5y

D 4x2 + 5y

The point-slope form which matches with the given graph is y - 2 = -3/4 (x - 6) which is option (B).

Given a line shown in the graph with points (6, 2)

We need to find the equation using the point-slope form as

= y - y₁ = m ( x - x₁)

Here m is the slope

To write this equation we need to find the slope for that we need another point.

We can observe the line cuts the axes on another point in the graph as

(-2, 8).

So slope (m) = y₂ - y₁ / x₂ - x₁

                     = 8 - 2 / -2 - 6

                     = 6 / -8

                     = -3 / 4

Now the point-slope equation form can be written as

= y - y₁ = m ( x - x₁)

= y - 2 = -3/4 (x - 6)

Therefore, the correct option is (B).

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Answer: I don't know

Step-by-step explanation:

Answer:

I don't know how to answer your question

Answer:

It is AUB=(0,-2,-1,0,1,2,7,8)

Step-by-step explanation:

A has (0 and 7)only

I has (2,8) only

and the union is (-2,-1,1)

In linear equation , 8 is many of each coin does he have in pocket .

What in mathematics is a linear equation?

q = number of quarters worth 25 cents each

13 - q = number of dimes worth 10 cents each

25q + 10(13 - q) = 250

25q + 130 - 10q = 250

15q = 250 - 130

15q =   120

q = 8

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Answer:

76

Step-by-step explanation:

i need 20 words but i gave a pic of explanation u should learn

Answer:

so first, the Bank Balance, Deposits in Transit, and Bank Service Charge are all categorized in the "Bank Statement Balance". Checkbook Balance, Note Collected, and Outstanding Checks are all categorized in the "Checkbook Balance". So this means that the Reconciled Balance of the "Bank Statement Balance" is 60,579.61, and the "Checkbook balance" is 60,579.60. The bank statement column is Bank Balance, Deposits in transit, and Bank service charge. The Checkbook Balance column is Checkbook Balance, Note collected, and Outstanding Checks.

Step-by-step explanation:

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Answer:

50x + 50

Step-by-step explanation:

Y = mx + b

Y = 50x + b

f(2) = 150

150 = 100 + b

b = 50

the equation of the line would be y = 50x + 50 which linear equation is used to represent the path of an airplane taking flight.

We have been given that the slope of the line is 50, and the point on the line is (2, 150).

A linear equation is represented as an equation in which the highest degree of the variable is always one.

Let the equation of the line be in slope-intercept form.

⇒ y = mx + b

A linear equation is used to represent the path of an airplane taking flight.

Here m = 50,

⇒ y = 50x + b

If the x-coordinate is 2 and then y-coordinate is 150

So f(2) = 150

⇒ 150 = 100 + b

⇒ b = 50

Substitute the value of b = 50 in the above equation to get

⇒y = 50x + 50

Therefore, the equation of the line would be y = 50x + 50.

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The predetermined overhead rate per direct labor hour is $12.00

The amount of applied overhead if 18,500 actual hours are worked in the upcoming year is $222,000

What are overheads?

Overheads are expenses or costs incurred by Wheeler’s Bike Company in the manufacturing process which cannot be traced to the finished goods, which are factory machinery depreciation, factory supplies, factory supervisor salaries and factory property tax

Total factory overheads= factory machinery depreciation +factory supplies+ factory supervisor salaries+ factory property tax

Total factory overheads=$55,000+$140,000+$7,500+$37,500

Total factory overheads=$240,000

predetermined overhead rate per direct labor hour=total factory overheads/total labor hours

total labor hours=Factory direct labor/direct labor rate

total labor hours=$300,000/$15=20,000 hours

predetermined overhead rate per direct labor hour=$240,000/20,000

predetermined overhead rate per direct labor hour=$12.00

amount of applied overhead  for 18,500 actual hours=18,500*$12

amount of applied overhead  for 18,500 actual hours=$222,000

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Answer:

x = between -3/4 and 3_1/5

x > 3_1/5 AND x < -3/4

Answer:

62.5 % is write answer.

Step-by-step explanation:

Please like my answer to make me brain list.

Answer:

2 * 3^2 * 11

Step-by-step explanation:

198/2 = 99   (so 2 is a prime factor)

99/3 = 33    (3 is another factor)

33/3 = 11      (3 is yet another factor)

11 is prime so cannot factor any further

198 = 2 x 3 x 3 x 11 = 2 x 3^2 x 11

Answer:

According to math, it's 7/10.

Hope this helps!

Have a great day and God bless! :)

The example here that can be seen to be the counterexample would be squirrel.

This is the term that is used to refer to the example that is given which is in opposition to the example that has been offered previously in a sentence. This is the counterexample in the question that we have here given that the squirrel that is being talked about is not a dog and also the color that it has is also not brown.

Hence we would conclude that the best solution to the question is that The example here that can be seen to be the counterexample would be squirrel.

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Lemoncita will have 44 cups of lemonade to bring to the beach.

The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.

The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards.

It is given that-

Number of containers of lemonade = 2

One container holds = 2 gallons

Second container holds = 3 quarts

Now to find the number of cups from these two containers, let us convert the whole quantity into alike units.

Now converting gallons to quarts,

since we know that,

1 gallons = 4 quarts

Therefore,

2 gallons = 2*4 quarts

⇒ 2 gallons = 8 quarts

Thus 2 gallons is equal to 8 quarts.

Therefore total amount lemonade = (8 + 3) quarts

⇒ total amount lemonade = 11 quarts

Now converting quarts to cups,

since 1 quart can hold 4 cups

Therefore, 11 quarts = 11*4 cups

⇒ 11 quarts = 44 cups

Thus 11 quarts is equal to 44 cups.

Thus total cups of lemonade = 44 cups

Hence, Lemoncita will have 44 cups of lemonade to bring to the beach.

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The type of reasoning for the first statement is quantitative reasoning.

The type of reasoning for 2nd statement is logical reasoning.

Grade Point Average is defined as a score used to evaluate success during the whole of the degree program.

Students must have a minimum GPA of 2.0 in order to participate in school sports

Since Jim has a GPA of 2.75, thus he is eligible to play.

Therefore, the type of reasoning for this statement is quantitative reasoning.

The children's meal has always been free whenever the Yolanda family has gone to a certain local restaurant on a Tuesday.

When the Yolanda family visits that restaurant next Tuesday, the children's meal is free.

Therefore, the type of reasoning for this statement is logical reasoning.

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The correct answer is (C) The cost of hot dog combos less than an $18 coupon split by 5 people.

The number of centimeters on the blue print is 54 cm.

Given the scale of the drawing of a blue house shows that 6 cm is 3 meters.

The plan says  6 cm is 3 meters. The equation can be written, like this:

6cm = 3m

However, it's not useful for a conversion, so it's better to write it as a ratio, like this:

6cm/ 3m or 3m / 6cm

This as a conversion, take the given number  and multiply it by the appropriate conversion factor. The key to choosing the right one is to think about which units need to be destroyed and how to achieve this. In this problem we are given 27 meters and we want to know it will be  centimeters on the scale. So we have to choose a conversion factor that will remove meters and leave us with centimeters. If in doubt, identify a possible problem and test the units.

Example: 27m × (3m / 6cm)

It is clear that in this form the counters will not be cancelled.

So instead we try:

27m × (6cm / 3m) = 162cm / 3 = 54cm

So the number of centimeters on the blue  represents the actual distance of 27 meters when the scale on the figure shows a house The blue color shows that 6 cm represents 3 meters or 54 cm.

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Answer: B, C, E

Step-by-step explanation:

When you multiply 57 by 1,000 you do indeed get the answer 57,000 because you only add 3 zeros because 1,000 has 3 zeros, same thing goes with 57 x 10,000, you just add 4 zeros to 57 to get your answer.

Answer: The length of AB is approximately 6.32 units.

Step-by-step explanation:

We have been given an image of a triangle on coordinate plane and we are asked to find the length of mid-segment MN and segment AB.

First of all, we will find the length of MN using distance formula.

What is the formula for length of a line?

When dealing with horizontal lines, the length of the line is simply the difference between the two points' x-coordinates. In a similar fashion, a vertical line's length can be found by subtracting one of the y-coordinates with the other.

              d = [tex]\sqrt{{(x2 - x1)^{2} } + (y2 - y1 )^{2} }[/tex]

      Let us assume option A is = (5.9 ; 2.8)

Where x1 = 5

x2 = 2

y1 = 9

y2 = 8

              d = [tex]\sqrt{{(2-5)^{2} } + (8-9)^{2} }[/tex]

              d = [tex]\sqrt[{-3^{2} } + -1^{2} ][/tex][tex]\sqrt{-3^{2} } + (-1)^{2}[/tex]

              d = [tex]\sqrt{9+1}[/tex]

              d = [tex]\sqrt{10}[/tex]

             d = 3.1622

Therefore, the length of MN is approximately 3.1622 units.

We know that length of mid-segment connecting two sides of a triangle is half the length of third side of the triangle.

To find the length of AB, we will multiply length of mid-segment MN by 2.

Length of AB = 3.1622 X 2

Length of AB = 6.3244 ≅ 6.32

Therefore, the length of AB is approximately 6.32 units and (5.9 ; 2.8)  is the correct choice.

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Using proportions, the table is filled as follows:

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

The rates are given as follows:

Hence, for 9/10 = 0.9 hours, the price is given as follows:

3 x 0.1 + 2 x (0.8/0.1) = 16.3.

For 4 hours, the price is given as follows:

3 x 0.1 + 2 x (3.9/0.1) = 78.3.

For 3 and 9/10 hours = 3.9 hours, the price is given as follows:

3 x 0.1 + 2 x (3.8/0.1) = 76.3.

For 7 hours, the price is given as follows:

3 x 0.1 + 2 x (6.9/0.1) = 138.3.

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