8. 1 Write a complex number to represent the impedance of each element. The voltage, V, is the real part, and the current, I, is the multiple of the imaginary unit i.

9. V = 34 volts: I = 3 milliamperes



10. V = 13 volts; I = 2.4 milliamperes​

Answer:

Volume = 6467.492mm³

Surface area = 1332.035mm²

Step-by-step explanation:

volume of a cone is [tex]\pi[/tex]r²h. V=[tex]\pi[/tex]10²(24)=7539.822mm³

volume of a sphere is 4/3[tex]\pi[/tex]r³.  V=4/3[tex]\pi[/tex](8³)=2144.66mm³

Since it's a half of a sphere, it would be 1072mm.33³

7539.822-1072.33=6467.492mm³

Surface area of a cone is [tex]\pi[/tex]r(r+√h²+r²)=1130.97

area of a circle= [tex]\pi[/tex]r²=201.06

surface area of a sphere is 4[tex]\pi[/tex]r²=804.25

Since it's a half sphere, it would be 402.125

1130.97-201.06+402.125=1332.035mm²

Answer:

40

Step-by-step explanation:

4-3=1

9-1=8

32+8=40

52-40=12

12 is your final answer

Answer:

Step-by-step explanation:

The commutative property lets you swap the order of operands. Here, the operands for addition, (8uv) and (9w), are interchanged. The Commutative Property of Addition lets you do that.

__

The associative property lets you group operands differently. Here, the operands in the product 8uv are changed from the grouping (8u)v to the grouping 8(uv). The Associative Property of Multiplication lets you do that.

Answers:

Step-by-step explanation:

Now let's see why these are the correct answers:

___________________________________________________________

Commutative Property of Addition states that changing the order of the addends will not affect the sum. For example 5 + 4 and 4 + 5 are both 9.

Here, this is a correct answer because 9w is moved from the end of the equation to the front.

___________________________________________________________

Commutative Property of Multiplication states that changing the order of multiplicands does not change the product. For example 5 x 2 and 2 x 5 both equal 10.

Here, this is not a correct answer because the multiplicands are associated differently in the parentheses.

___________________________________________________________

Associative Property of Addition states that the way in which addends are grouped within parentheses doesn't change the sum. For example (2 + 3) + 4 or 2 + (3 + 4) both equal 9.

Here, this is not a correct answer because the addends are not in parentheses, which is the only time this property applies.

___________________________________________________________

Associative Property of Multiplication states that the way in which multiplicands are grouped within parentheses does not affect the product. For example 2 x (2 x 2) and (2 x 2) x 2 both equal 8.

Here, this is a correct answer because the multiplicands are within parentheses and are regrouped in the second equation, the (8u)v having been regrouped as 8(uv).

___________________________________________________________

Greetings,

I hope you and your family are staying safe and healthy!

So basically, we have 3 cats catching 3 mice in 3 minutes. That means 1 cat is catching 1 mouse, but it takes it 3 mn.

Now if we have 99 mice and we need to catch them in 99 minutes, we will need 99 cats.

99 cats will catch 99 mice in 99 minutes...meaning each cats will take 1 minute to catch their mice.

----------------

If you find my answer helpful, please kindly give 5 stars and press the heart. Thanks!

Answer:

D

Step-by-step explanation:

Add real numbers and add imaginary numbers

(-7 + 3i)+(2 - 6i) = -7 + 2 + 3i - 6i

                        =  - 5 - 3i

[tex] &#128075 [/tex] Hello ! ☺️

Step-by-step explanation:

•What is the value of (-7+3i)+(2-6i)?

[tex] (- 7 + 3i) + (2 - 6i) = ( - 7 + 2 + 3i - 6i) = - 5 - 3i [/tex]

(-7+3i)+(2-6i) = [tex]\boxed{\color{gold}{ -5-3i}} [/tex]

[tex]<marquee direction="left" scrollamount="2" height="100" width="150">&#x1F498;Mynea04</marquee>[/tex]

Answer:

B. 25/4

Step-by-step explanation:

to calculate how many miles Jana ran everyday, divide the total distance by number of days

50/8

simplify, 25/4

the answer is B

Answer:

plot 2

Step-by-step explanation:

put number in order from least to highest:

1 ,3,4,5,8,8,9,11,11,11,14,15,15,18,19,19,19,21,22,23,

from 1 to 5      4 terms

5 to 10             3 terms

from 10 to 15   4 terms (since you can put the 15 in either 10 to 15 or 15to 20)

from 15 to 20  6 terms

from 20 to 25   3

18 shelves he needs to sell

Answer:

2, -2

Step-by-step explanation:

f(x) = 2x + 1

g(x) = x - 3

To find g(f(x)), you need to put f(x) into g(x).

g(f(x)) = (2x + 1) - 3

g(f(x)) = 2x + 1 - 3

g(f(x)) = 2x - 2

Your answer will be 2 and -2.

Answer:

Proof given by contradiction.

Step-by-step explanation:

Given that:

[tex]n \geq 2[/tex]

To prove:

[tex]n[/tex] is prime if and only if no positive integer > 1 and [tex]\leq[/tex] [tex]\sqrt n[/tex] divides [tex]n[/tex].

Solution:

First of all, let [tex]n[/tex] is a composite number i.e. not a prime number such that:

[tex]n =a\times b[/tex]

and [tex]a[/tex] and [tex]b[/tex] are prime and [tex]a[/tex] divides [tex]n[/tex] and [tex]b[/tex] also divides [tex]n[/tex].

Let [tex]\sqrt n = p[/tex]

or [tex]n = p\times p[/tex]

1. [tex]\underline{a < p}[/tex]:

[tex]a[/tex] is prime and is a divisor of [tex]n[/tex].

2. [tex]\underline{a>p}[/tex]:

[tex]n = a\times b = p\times p[/tex]

We have assumed that [tex]a > p \Rightarrow b <p[/tex]

[tex]b[/tex] is a prime number and is a divisor of [tex]n[/tex].

But we are given that no prime number [tex]\leq \sqrt n[/tex] divides [tex]n[/tex] but we have proved that [tex]b < \sqrt n[/tex] divides [tex]n[/tex].

So, it is a contradiction to our assumption.

Therefore, our assumption is wrong that  [tex]n[/tex] is a composite number.

Hence, proved that [tex]n[/tex] is a prime number.

Answer:

Step-by-step explanation:

s^2 represents the area of a square whose side length is s.

(8x)^2 represents the area of a square whose side length is 8x.

Answer:

[tex]\boxed{ x = 0 \ \ OR \ \ x = 7}[/tex]

Step-by-step explanation:

[tex]8x^2 -56 = 0[/tex]

Greatest common factor = 8x

=> [tex]8x(x-7) = 0[/tex]

Setting results equal to 0

Either:

8x = 0                OR        x-7 = 0

x = 0                 OR           x = 7

Answer:

x= 0 or 7

Step-by-step explanation:

if you factor out the equation by 8, you get 8x(x-7)=0, which if you simplify that, gets you 0 or 7.

Answer: x = 32

Step-by-step explanation:

x/8 - 5 = -1

Add 5 both sides : x/8 = 4

Multiply both sides by four: x=4 times 8

Answer:

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Step-by-step explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Answer: 3 terms

Step-by-step explanation:

each term is separated by the plus or minus symbol

Answer:

3 terms

Step-by-step explanation:

5x + 3y - 6

We cannot combine any terms so there are 3 different terms

5x, 3y, -6

The total number of bacteria in the dish is 31457280

The expression is given as:

Total = (32)^4 * 30

Start by evaluating the exponent

Total = 1048576 * 30

Next, evaluate the product

Total = 31457280

Hence, the total number of bacteria in the dish is 31457280

Read more about products at:

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Answer:

A (3^8)

Step-by-step explanation:

I have this question on my test. I'm just assuming the person didn't put ^.

(3^2)^4 times 3^0

Answer:

i

Step-by-step explanation:

√-1 is always going to be imaginary i

That is a math rule needed to memorize.

Answer:

i

Step-by-step explanation:

Correct Answer: A) F F → T

I did the assignment and got it right, trust me.

Answer:

8x + 2 = 40 - 24x

Step-by-step explanation:

8x + 8-6 = 60 - 24x - 20

Next step is simplification and is:

The following steps:

Answer:

(16.2t+3.4u+2.9)cm

Step-by-step explanation:

A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;

P = s1+s2+s3

Given the side lengths

s1 = (8.1t-6.1)cm

s2 = (8.1t+7.1)cm

s3 = (3.4u+1.9)cm

Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9

collect the like terms

P = 8.1t+8.1t+3.4u-6.1+7.1+1.9

P = 16.2t+3.4u+2.9

Hence the expression that represents the perimeter, in centimeters, of the triangle is  (16.2t+3.4u+2.9)cm

Answer:

The area of the black square is equal to the sum of the areas of the gray squares.

Answer:

The area of the black square is equal to the sum of the areas of the gray squares.

Answer:

x = 14

Step-by-step explanation:

3x+1=43

Subtract 1 from each side

3x+1-1=43-1

3x = 42

Divide by 3

3x/3 = 42/3

x =14

Answer:

x =14

Step-by-step explanation:

Answer:

[tex]\Huge \boxed{y=3x+6}[/tex]

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

The slope can be found from two points.

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

The two points from the graph are (1, 9) and (2, 12).

Plugging in the values and evaluating.

[tex]\displaystyle m=\frac{12-9}{2-1}[/tex]

[tex]\displaystyle m=\frac{3}{1}[/tex]

[tex]m=3[/tex]

The slope of the line is 3.

The y-intercept of the line is where the line cross the y-axis.

The line crosses the y-axis at (0, 6).

[tex]b=6[/tex]

The slope-intercept form of the line is:

[tex]y=3x+6[/tex]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so [tex]45\cdot100=4500[/tex] m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula [tex]\pi r^2[/tex]

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: [tex]20\div2=10[/tex]

Second circle's radius: [tex]10\div2=5[/tex]

Third circle's radius: [tex]5\div2=2.5[/tex]

Now let's find the area of each circle.

First Circle: [tex]\pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314[/tex]

Second Circle: [tex]\pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5[/tex]

Third Circle: [tex]\pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625[/tex]

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need [tex]4087.875\div50=81.7575[/tex] bags.

Each bag costs £1.49, so the total cost is [tex]81.7575\cdot1.49\approx121.82[/tex]

Hope this helped!!

Answer:

No

Step-by-step explanation:

Common denominators are the same number. Since 1/4 has a denominator of 4 and 3/12 has a denominator of 12 they are not the same, and therefore are not common denominators.

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

--------|--------|---------|------||----|--------|---------|--------------------->

       -1         0         1    5/8  2        3         4                       ∞

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

= 12/-12

= -1

Answer: -1

Step-by-step explanation:

xz/-2y, given x=-3, y=6, and z=-4

------------

 xz/-2y

=(-3)(-4)/-2(6) ⇔ substitute x y and z value

=12/-12 ⇔ calculate it

=-1 ⇔ simplify fraction

Hope this helps!! :)

Please let me know if you have any question

Answer:

[tex]\bold{a = \dfrac{24}{7}}[/tex]

Step-by-step explanation:

Kindly refer to the attached for the values labelled to the line XZ.

The point Y is in between XZ.

It can be clearly observed that XZ is made up of sum of two lines XY and YZ.

So, we can write:

XZ = XY + YZ ....... (1)

We are given the values of line segments:

XY = 4a

YZ = 9a and

XZ = 6a+24

To find: Value of variable 'a'.

Solution:

Putting all the values in equation (1):

[tex]6a+24 = 4a + 9a\\\Rightarrow 6a+24=13a\\\Rightarrow 7a=24\\\Rightarrow \bold{a = \dfrac{24}{7}}[/tex]

So, value of variable is

[tex]\bold{a = \dfrac{24}{7}}[/tex]

Answer:

x = -25

Step-by-step explanation:

Step 1: Write out equation

2/5x + 10 = 0

Step 2: Subtract 10 on both sides

2/5x + 10 - 10 = 0 - 10

2/5x = -10

Step 3: Multiply both sides by 5/2

5/2(2/5x) = -10(5/2)

x = -50/2

x = -25

Answer:

1,3,3,2

Step-by-step explanation:

hope this helps :)

The required solutions are,

1. operations.
2. w(xy)z.
3. w(xy)z

The associative property is a mathematical principle that states that the grouping of operations or factors does not affect the final result of a calculation, as long as the order of the terms remains the same.

Here,
The associative property allows us to change the grouping of the factors that are multiplied together to create 2. operations.

When changing the grouping, the order of the factors stays the same; only the position changes.

The expression 3. (wx)yz is an equivalent expression to w(xy)z.

The expression 2. wx(yz) is also an equivalent expression to w(xy)z.

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