Absolute value of -3.47 ?

Answers

Answer 1
Answer:

Answer: 3.47

Step-by-step explanation:

Absolute value is distance from zero.


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Simplify the given expression below: (4 + 2i) − (1 − 7i) 5 − 5i 5 + 9i 3 + 9i 3 − 5i

Answers

The best way to think of complex numbers is through x and y coordinates, if a number is just on its own (real) think of it as the x ordinate. Conversely if the number is say 2i (imaginary), just think of it as the y=2.
So 4+2i - (1-7i) = 4+2i-1+7i = (4-1) + i(2+7) = 3 +9i
That can be though of as (3,9). A complex number is just two separate real numbers, a real part and an imaginary part.

The value of the complex expression will be 3 + 9i. Then the correct option is C.

What is a complex number?

The complex number is the combination of the real part and the imaginary part.

Then the complex number is given as

⇒ a+bi

The complex expression is given below.

⇒ (4 + 2i) and (1 − 7i)

Then the difference between the complex number will be

⇒ (4 + 2i) - (1 - 7i)

Simplify the complex expression, then the complex expression will be

⇒ (4 + 2i) - (1 - 7i)

⇒ 4 + 2i - 1 + 7i

⇒ 3 + 9i

The value of the complex expression will be 3 + 9i.

Then the correct option is C.

More about the complex number link is given below.

brainly.com/question/10251853

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Given a>0 and b>0, which inequality shows the result of solving -ax/b >/ (c-d) for x?

a)x </ ad-ac/b

b)x </ bd-bc/a

c)x >/ bc-bd/a

d)x >/ bd-bc/a

Answers

We will see that the solution of the given inequality is:

( -(c - d)*b)/(a)  \ge x

How to solve the inequality?

Here we have the inequality:

-(ax)/(b)  \ge c - d

To solve it, we need to isolate x on one side of the inequality.

First, we can multiply both sides for b:

-ax \ge (c - d)*b

Now we divide both sides by -a, because we are operating with a negative number, we need to change the direction of the greater than or equal to sign, so we will get:

( -(c - d)*b)/(a)  \ge x

That is the solution to the given inequality.

If you want to learn more about inequalities:

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-(ax)/(b)\geq c-d\n-ax\geq bc-bd\nx\leq-(bc-bd)/(a)\nx\leq(bd-bc)/(a)

What is the complement of 109° degrees? A. 81° B. 71° C. 109° D. 90°

Answers

Final answer:

The complement of 109° degrees is -19°

Explanation:

The complement of an angle is the difference between 90 degrees and the given angle. In this case, the complement of 109 degrees would be 90 - 109 = -19 degrees.

Learn more about complement of an angle here:

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Find the exact value of cos(135 degree + 30 degree)

Answers

cos(x+y)=cosxcosy-sinxsiny\nsin(x+y)=sinxcosy+sinycosx\n-------------------------------\ncos(135^o+30^o)=cos135^ocos30^o-sin135^osin30^o=(*)\n----------------------------\ncos135^o=cos(90^o+45^o)=cos90^ocos45^o-sin90^osin45^o\n=0\cdot(\sqrt2)/(2)-1\cdot(\sqrt2)/(2)=-(\sqrt2)/(2)\n\nsin135^o=sin(90^o+45^o)=sin90^ocos45^o+sin45^ocos90^o\n=1\cdot(\sqrt2)/(2)+(\sqrt2)/(2)\cdot0=(\sqrt2)/(2)\n-------------------------------

(*)=-(\sqrt2)/(2)\cdot(\sqrt3)/(2)-(\sqrt2)/(2)\cdot(1)/(2)=-(√(6))/(4)-(\sqrt2)/(4)=-(\sqrt6+\sqrt2)/(4)

How much does one slice of pumpkin pie cost if there are 8 servings per pie?Ingredients
• Pumpkin 15oz can ($1.50 for 15oz can)
2 eggs ($2.59 for one dozen)
• 1 tsp pumpkin pie spice ($5.99 for 1.12oz Jar =
approx.6tsp)
• Evaporated Milk 14oz can ($1.25 for 14oz can)
• Pillsbury Pie Crust ($3.79 for two crusts)
Show Your Work Here:

Answers

We want to find the cost of each slice of a pie given that we know the price of the ingredients that we use to make the whole pie. We will see that the cost of a single slice is $0.75.

First, we must get the cost of the whole pie. We have:

  • $1.50 for the 15oz can of Pumpkin
  • We know that 12 eggs cost $2.59, then 2 eggs cost: (2/12)*$2.59 = $0.43.
  • We know that 1.12 oz of pie spice costs $5.99, and we use only one teaspoon of this, remember that: 1tsp = 0.167 oz, Then the cost of 1tsp of pie spice is: (0.167 oz)/(1.12 oz)*$5.99 = $0.89.
  • $1.25 for the 14oz can of evaporated milk.
  • One pie crust, we know that two of them cost $3,79, then only one costs: $3.79/2 = $1.90

The total cost is then:

C = $1.50 + $0.43 + $0.89 + $1.25 + $1.90 = $5.97

Now we know the total cost of the pie, and it has 8 slices, then each slice costs: $5.97/8 = $0.75

If you want to learn more, you can read: brainly.com/question/20005135

Answer:

$0.76 per serving of pumpkin pie

Step-by-step explanation:

the total cost of the ingredients needed to prepare a pumpkin pie = $1.50 + ($2.59 / 6) + ($5.99 / 6) + $1.25 + ($3.79 / 2) = $6.075

if we cut 8 servings per pie, then the cost per serving = total cost of the pie / number of servings = $6.075 / 8 = $0.759375 ≈ $0.76 per serving of pumpkin pie

How many 2 inch segments are there in 12 ft

Answers

72 2's in 12 ft
Hope this helped :)