The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?

Answer:

The answer is square root of 5.

Step-by-step explanation:

Irrational numbers are those that cannot be expressed as a ratio of two integers.

And when we express these in decimal form, they have an infinite and nonrecurring expansion like the number π and the square root of 2.

The answer is square root of 5. This is because the square root of 5 will never result in a number that will be exact.

Answer:

The correct answer is one point.

Step-by-step explanation:

 In geometry, if two lines cross each other, they will do so at an exact point.

Imagine that the lines are formed by thousands of points located next to each other, which makes us see a line, therefore if they cross, they will do so at a single point that will have a coordinate in (x, y) format.

When the two lines are on the same plane, the following situations may occur:

The security guard worked for 6 hours and 45 minutes, this is because 0.75 of an hour is equivalent to 45 minutes.

In the context of this question, the security guard logged 6.75 hours on his shift. This figure is given in decimal format. To convert this into hours and minutes, you need to understand that .75 of an hour is three quarters of 60 minutes. So, 0.75 x 60 minutes is 45 minutes. Therefore, the security guard worked for 6 hours and 45 minutes.

This is equivalent to 6 hours and 45 minutes. In decimal form, 0.75 represents three-quarters of an hour, which is 45 minutes. So, he worked for 6 hours and 45 minutes.

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Answer:

4008.10 kg

Step-by-step explanation:

We have been given that a vineyard has 165 acres of chardonnay grapes. a particular soil supplement requires 6.00 grams for every square meter of vineyard.

We know that 1 squared km equals 247 acres.

[tex]\text{165 acres}\times\frac{\text{1 km}^2}{\text{247 acres}}[/tex]

[tex]165\times\frac{\text{1 km}^2}{247}[/tex]

[tex]0.6680161943319838\text{ km}^2[/tex]

We know 1 square km equals 1000000 meters.

[tex]0.6680161943319838\text{ km}^2\times \frac{1000000\text{ m}^2}{\text{ km}^2}[/tex]

[tex]0.6680161943319838\times 1000000\text{ m}^2[/tex]

[tex]668016.1943319838\text{ m}^2[/tex]

Now, we will multiply 6 by [tex]668016.1943319838\text{ m}^2[/tex].

[tex]668016.1943319838\text{ m}^2\times \frac{\text{6 grams}}{\text{m}^2}[/tex]

[tex]668016.1943319838\times \text{6 grams}[/tex]

[tex]4008097.1659919028\text{ grams}[/tex]

[tex]4008097.1659919028\text{ grams}\times \frac{1\text{ kg}}{\text{1000 grams}}[/tex]

[tex]4008.09716599190281\text{ kg}[/tex]

[tex]4008.10\text{ kg}[/tex]

Therefore, 4008.10 kg of the soil supplement are required for the entire vineyard.

12⋅1=12
This is not divisible by 8.

12⋅2=24
This is divisible by 8.
8⋅3 =24

the least common multiple is 24

Answer: 15

Step-by-step explanation:  6*5*4*3*2 /2*4*3*2 = 720/48 = 15

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Answer:

Amaya must get marks between 71 and 98 in order to get B grade

Step-by-step explanation:

Amaya's test scores in algebra 1 are 78 and 91.

Let she got x marks in third test

The average all the three test must be 80-89

i.e. [tex]80\leq\dfrac{78+91+x}{3}\leq 89[/tex]

Multiplying all sides by 3, we get

240≤ 78+91+x≤ 267

240≤ 169+x≤ 267

Subtracting all sides by 169, we get

71≤ x≤ 98

Hence, Amaya must get marks between 71 and 98 in order to get B grade

The amount of  money that Jack gets between the money shared is £80

In mathematics, the ratio is a relation that gives a quantitative measure between two expressions in a way that tells us how A is contained in B.

Given that:

The amount that Jack get is:

= (4/7) × £140

= £80

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250-100 = 150

150/20 = 7.5

7 hours

inequality: 100+20x <=250

They can rent the boat for 7 hours for $ 240 in total.

Since the Mitchell family is renting a boat for the day, and the boat rental has a flat fee of $ 100 plus $ 20 for each hour, and they have to pay for a whole hour even if they are not out on the lake for a whole hour, to determine, if they want to spend $ 250 or less on the boat rental for the day, how many hours can they rent the boat, the following calculation must be performed:

So they can rent the boat for 7 hours for $ 240 in total.

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Answer:

The pitcher of robins throws a baseball faster.

Step-by-step explanation:

Speed of base ball thrown by the pitcher for the robins = 90.0 mile/hour

1 mile = 5280 feets

1 hour = 3600 seconds

[tex]90.0 mile/hour=\frac{90.0\times 5280 feet}{3600 s}=132 feet/s[/tex]

Speed of base ball thrown by the pitcher for the bluebirds= 121 feet/s

132 feet/s > 121 feet/s

The pitcher of robins throws a baseball faster.

Answer:

The correct answer is option a.

Step-by-step explanation:

If a line passing through two points, then the slope of a line is defined as

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the endpoints of are A(3, 6), B(8, 7), C(3, 3), and D(8, 4).

[tex]m_{AB}=\frac{7-6}{8-3}=\frac{1}{5}[/tex]

[tex]m_{CD}=\frac{4-3}{8-3}=\frac{1}{5}[/tex]

Since slope of AB and CD are same, therefore the line AB is parallel to CD because the slope of parallel lines are equal.

Two parallel lines never intersect each other, therefore AB does not intersect CD. Only option a is correct.

There are 500 years between 250 CE and 250 BCE

Years that are denoted as BCE are counted backwards until they get to 0 after which years are then denoted as CE and these ones count upwards.

This means that to find the difference between these two years, you must first count from 250 BCE to 0 and then from 0 to 250 CE.

250 BCE to zero = 250 years

Zero to 250 CE = 250 years

Then sum them up:

= 250 + 250

= 500 years

There is therefore a difference of 500 years between these two years.

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