( 5 - 2i)2 Write answer in standard form a +bi. Remember you can not have i2 in your answer it is a number.

Answer:

1 and 1/2

Step-by-step explanation:

Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

1.5 as a decimal

1 1/2 as a fraction

Answer:

putting roots on both sides,

[tex] \sqrt{(2x - 3)} {}^{2} = \sqrt{81} [/tex]

or, 2x-3 =9

or, 2x= 9+3

or, 2x = 12

Or, x = 12÷2

:. x=6

Answer:

i cant see the exponent sorry

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

Total No. of Subsets = 128

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

Total No. of Proper Subsets = 127

The total number of subsets is 128 and the total number of proper subsets is 127 and this can be determined by using the given data.

Given :

The set of days of the week.

The following steps can be used in order to determine the number of subsets and the number of proper subsets:

Step 1 - According to the given data, the set is given below:

S = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Step 2 - Now, the total number of subsets is given by the formula [tex]2^n[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\;Subsets} = 2^7\\{\rm Total\;Subsets} = 128[/tex]

Step 3 - Now, the total number of proper subsets is given by the formula [tex](2^n-1)[/tex] where 'n' is the number of elements of the set.

[tex]{\rm Total\; Proper\; Subsets}=2^7-1\\{\rm Total\; Proper\; Subsets}=127[/tex]

a) The total number of subsets is 128.

b) The total number of proper subsets is 127.

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Answer:

72

Step-by-step explanation:

Answer:

72 m

Step-by-step explanation:

14x4=56

4x4=16

56+16=72

Answer:

$179.1

Step-by-step explanation:

Total area to be painted = 2,250 sq.ft

area covered by per gallon of paint = 250 sq.ft

Hence, gallons of paint required to paint 2,250 sq.ft is...

2250/250 = 9

so, 9 gallons of paint are required to paint 2,250 sq.ft

cost per gallon of paint = $19.90

so, cost of 9 gallons is...

19.90*9 = 179.1

The total money that Kathy will spend for painting the outside of her house is $179.1.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given is the Kathy who is painting the outside of her house. Its area is 2,250 square feet. Each gallon of paint covers 250 square feet and costs $19.90.

Area of the outer house = [A] = 2250 ft²

Area covered by 1 gallon of paint = [a] = 250 ft²

Therefore, the total gallons of paint needed = (2250/250) = 9 gallons.

Cost of 9 gallons of paint will be = 19.90 x 9 = 179.1

Therefore, the total money that Kathy will spend for painting the outside of her house is $179.1.

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Answer:

h(2)= 8

Step-by-step explanation:

h(2) = 2^2 +2(2)

4 + 4

h(2)=8

Answer:

13

Step-by-step explanation:

This is a division problem.

$104/$8 = 13

Answer: 13

Answer:

-7/15

Step-by-step explanation:

Find GCF of both denominators

GCF: 15

Multiply 5 to -2 in -2/3 and 3 to 1 in 1/5

This gives you -10/15 + 3/15

Solve

-7/15

Answer:

m= -4

Step-by-step explanation:

-2m-14=3m+6

-14=5m+6

-20=5m

m= -4

Answer:

b hours

Step-by-step explanation:

100 minus the 10 on the jacket  equals 90. 90 divided by 15 is 6

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

Answer: The dimensions of the frame:.

W= 2√10 or about 6.3245 inches

L= 4√10 or about 12.6491 inches

Step-by-step explanation:

This would be so much easier if the area of the box was 72. Then the dimensions of the frame would be 6 × 12. So just a little bit larger and more complicated.

Here the equation is w(2w)=80

2w^2 = 80 (2w is easier to work with than L/2).

w^2=40 (^2 means squared)

√w^2 = √40 square root of both sides: Factor 40. Take out√4

W = √4*10

W= 2√10

L= 2w = 4√10

6.3245 × 12.6491 = 80

Answer:

Island A=5

Island B=20

Island C=5

Step-by-step explanation:

Island AB=25 house

Island AC=10 house

Island BC=25 house

Total =30 house

30-25 to get the house on island C which is 5

30-10 to get the house on island B which is 20

30 -25 to get the house on island A which is 5

A. The average speed was 36 mph.

B. The average speed on the drive from LA to Irvine was 25mph.

C. The total time he spent driving to and from the meeting was about 3 hours and 5 minutes.

Answer:

We know that every 15th person gets a free box of popcorn.

This depends on order, but nobody knows what is his actual position, so we can assume that:

of 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

1/15

And the negation, (the probability of not getting a free box) is:

1 - 1/15 = 14/15 = 0.93...

The probability of not getting a free box is, [tex]\frac{14}{15}[/tex]

Given that, from 15 people, 1 will get a free box of popcorn.

Then the probability of getting free popcorn is:

                                 [tex]P(E)=\frac{1}{15}[/tex]

the probability of not getting a free box is,

           [tex]P=1-P(E)\\\\P=1-\frac{1}{15}=\frac{14}{15}[/tex]

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Answer:

hours = 5 x dollars

Step-by-step explanation:

Because, for every hour you earn 5 dollars.

Answer:

2x10^-4,0.004,4x10^-2,,0.042,0.24

Step-by-step explanation:

i did the paper

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{A. 7 / 18}[/tex]

[tex]\text{Convert 2 4/7 into an improper fraction:}\\\\2*7 + 4 = 18 \\\\\text{(To find the numerator of the fraction)}\\\\\text{Fraction in improper form: 18/7}\\\\\text{Reciprocal of fraction: Swap numerator and denominator:}\\\\18/7 \text{ becomes } 7 / 18[/tex]

Answer:

2

Step-by-step explanation:

out of 10 that were taking math 8 of them were also taking english. 10-8=2

Answer:

[tex]\boxed {\tt B. \ x=45}[/tex]

Step-by-step explanation:

x and 3x are on a straight line together. Therefore, they are supplementary and must add to 180 degrees.

Add x and 3x, and set that equal to 180.

[tex]x+3x=180[/tex]

Combine like terms on the right side of the equation. Both x and 3x have a variable, so they can be added together.

[tex](x+3x)=180[/tex]

[tex]4x=180[/tex]

Since we want to find x, we have to isolate x. x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

[tex]\frac{4x}{4} =\frac{180}{4}[/tex]

[tex]x=\frac{180}{4}[/tex]

[tex]x=45[/tex]

x is equal to 45, so the correct answer is B. 45

In the diagram, we can see that two lines are intersecting and a two pairs of vertically opposite angles are forming. The angle on a line are supplementary to each other (linear pair).

Here, angle TRS and angle TRV are linear pair, so they will have a sum of 180°.

Then,

[tex] \angle TRS + \angle TRV = 180 \degree[/tex]

In the question, given angle TRS = x and angle TRV = 3x

[tex]x + 3x = 180 \degree[/tex]

[tex]4x = 180 \degree[/tex]

Now, divide 4 from both sides because we need to find x.

[tex]x = \frac{180 \degree}{4} [/tex]

[tex]x = 45 \degree[/tex]

It was given that Angle TRS is x

So, Angle TRS = 45°

Option B

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Step-by-step explanation:

elsian 69 pls help me with my latest question i will gove u anything u want pls its due today i am so stuck

Answer:  see below

Step-by-step explanation:

Graph the points and rotate the graph as follows:

or use the following formulas:

1) 180°: (x, y) → (-x, -y)

       D: (1, 4) → (-1, -4)

       E: (7, 6) → (-7, -6)

       F: (8, 3) → (-8, -3)

       G: (2, 1) → (-2, -1)

2) 270°: (x, y) → (y, -x)

       L: (1, 6)  → (6, -1)

       M: (8, 7) → (7, -8)

       N: (5, 2) → (2, -5)

3)  90°: (x, y) → (-y, x)

       Q: (2, 6) → (-6, 2)

       R: (5, 7) → (-7, 5)

       S: (7, 3) → (-3, 7)

       T: (1, 1)  → (-1, 1)

4) 180°: (x, y) → (-x, -y)

       D: (3, 0) → (-3, 0)

       E: (6, 1) → (-6, -1)

       F: (7, -4) → (-7, 4)

       G: (1, -6) → (-1, 6)

Answer:

  4,152,842.53301 cm³ ≈ 4.1528 m³

Step-by-step explanation:

The volume of a rectilinear room of those dimensions will be the product of those dimensions:

  (144.78 cm)(198.12 cm)(144.78 cm) = 4,152,842.53301 cm³

A more appropriate unit for such a volume is cubic meters. There are a million cubic centimeters in a cubic meter, so the volume (to 5 significant digits) is ...

  4.1528 m³

_____

We assume that any oxygen is uniformly distributed in the space, so the volume of oxygen will be the same as the volume of the room.

_____

Additional comment

These dimensions correspond to those of a room that is 57 inches square and 78 inches high.

Answer:

50 mph

Step-by-step explanation:

The true statements are,

π is irrational because π is a repeating decimal.

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

7√ is rational because 7 is not a perfect square.

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

Now we have,

→π is irrational because π is a repeating decimal.

Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

Hence π is irrational.

⇒This statement is true.

→√7 is irrational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→7.1234… is irrational because it is a non terminating, non repeating decimal.

Since,the value of decimal in 7.1234… goes on forever and repeating.

Therefore,7.1234… is irrational.

⇒This statement is true.

→√7 is rational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→π is irrational because π is not a repeating decimal.

π is irrational because  the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

⇒This statement is false.

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Answer:

The annswer is 3 for the clay pots

Step-by-step explanation:

Answer:

6893

Step-by-step explanation:

Answer:

6893 is the nearest whole number

Answer: The first angle is 35°, the second angle is 67° and the third angle is 78°.

Step-by-step explanation:

Wee will represent the first angle by f,the second by s, and the third by t.

If gives us the information that the second angle is 3 less than twice the first one, that can be represent by the equation  s= 2f-3  .

The third angle is 8 more than twice the first so it can also be represent by the equation t= 2f + 8 .

Now we know the interior of angles of a triangle adds up to 180 degrees. so see the measures equal 180 to solve for f.

f+ (2f+8) + (2f -3) = 180  Combine like terms on the left side

5f + 5 = 180  

     -5      -5

5f= 175  

f = 35  

So the first angle is 35 degrees.

Second angle.

s=2(35) - 3  

s= 70 -3

s = 67  

The second angle is 67.

Third angle.

t = 2(35) + 8

t= 70 + 8

t= 78

The third angle is 78 degrees.

Now add the angles up to see if they equal 180 degrees.

35 + 67 + 78 = 180  

   180 = 180