3. Consider the complex numbers z and w below. Find the difference z-
w and the product z.w.
z = (1 – 3i) and w = (-2 + 5i)

Answer:

20%

Step-by-step explanation:

The first step is to calculate the increase

= 1.50-1.25

= 0.25

Therefore the percentage increase can be calculated as follows

= 0.25/1.25 × 100

= 0.2 × 100

= 20%

Hence the price increased by 20%

Answer:Hope it helps.

Step-by-step explanation:

Rotation 90 degrees clockwise.

180 degrees would be half way turned and clock wise starts at 12 and goes to 1-12. Counter would go 12-11-10. Think of it as a clock. Tried my best. GL

Answer:

0.25

Step-by-step explanation:

Given that the jeweler has alloys that are 25% gold, 50% gold, and 82% gold.

As he wants to make 14 grams of an alloy by adding two different alloys that is precisely 75% gold, so one alloy must have a percentage of gold more than 75%.

One alloy is 82% gold and, the second can be chosen between 25% gold, 50% gold, so there are two cases.

Case 1: 82% gold + 50% gold

Let x grams of 82% gold and y  grams of 50% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 50% of y

[tex]\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times y \\\\[/tex]

[tex]\Rightarrow 75/100 \times 14 = 82/100 \times x + 50/100 \times (14-x)[/tex]  [as x+y=14]

[tex]\Rightarrow 75 \times 14 = 82 \times x + 50 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 50 \times14-50\times x \\\\\Rightarrow 75 \times 14 = 32 \times x + 50 \times14 \\\\\Rightarrow 32 \times x =75 \times 14 - 50 \times14 \\\\[/tex]

[tex]\Rightarrow x =(25 \times 14)/32=10.9375[/tex] grams

and [tex]y = 14-x= 14-10.9375=3.0625[/tex] grams.

Hence, 10.9375 grams of 82% gold and 3.0625  grams of 50% gold added to make 14 grams of 75% gold.

Case 2: 82% gold + 25% gold

Let x grams of 82% gold and y  grams of 25% gold added to make x+y=14 grams of 75% gold, so

75% of 14 = 82% of x + 25% of y

[tex]\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times y \\\\\Rightarrow 75/100 \times 14 = 82/100 \times x + 25/100 \times (14-x) \\\\ \Rightarrow 75 \times 14 = 82 \times x + 25 \times (14-x) \\\\\Rightarrow 75 \times 14 = 82 \times x + 25 \times14-25\times x \\\\\Rightarrow 75 \times 14 = 57 \times x + 25 \times14 \\\\\Rightarrow 57 \times x =75 \times 14 - 25 \times14 \\\\[/tex]

[tex]\Rightarrow x =(50 \times 14)/57=12.28[/tex] grams

and [tex]y = 14-x= 14-12.28=1.72[/tex] grams.

Hence, 12.28 grams of 82% gold and 1.72  grams of 50% gold added to make 14 grams of 75% gold.

Answer:

[tex]8x^{2} +14x+6[/tex]

Step-by-step explanation:

The formula for the area of rectangle is length times width:

[tex](2x+2)(4x+3)\\[/tex]

Use FOIL method:

[tex]8x^{2} +6x+8x+6\\8x^{2} +4x+6[/tex]

Answer:

8cm and 9cm

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Answer:

the y intercept is y

Step-by-step explanation:

because we have the variable already/////

Answer:

$30 and 1 cent more

Step-by-step explanation:

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helped, please mark Brainliest, thank you !!

Answer:

4! am i right or am i right Owo

Step-by-step explanation:

It is a no solution equation

Answer:

A. 88

Step-by-step explanation:

A circle is 360 degrees right ? so, 136 cant be right since 136 is almost half of a circle and that angle doesn't look nearly half, 44 and 22 cant be right either since AB is 44 degrees and its growing outwards so it cant be exactly 44 and it cant be less 44 (22)

so your answer will be A. 88

Answer:

Aaron's bowling score is 30

David's bowling score is 54

Step-by-step explanation:

The variable representing Aaron's score is = a

The variable representing David's bowling score = d

The sum of their scores is 84.

= a + d = 84...... Equation 1

David's bowling score is 6 less than 2 times Aaron's score.

d = 2a - 6

Substituting 2a - 6 for d in Equation 1

a + 2a - 6 = 84

3a - 6 = 84

3a = 84 + 6

3a = 90

a = 90/3

a = 30

Hence, Aaron's bowling score is 30

d = 2a - 6

d = 2(30) - 6

d = 60 - 6

d = 54

David's bowling score is 54

Answer:

(0,-4) — (2,0) — (-3,-10) are solutions to the equation

Step-by-step explanation:

Just plug in the x and y values of the set in the equation.

I hope this helps! Please mark me as the brainliest!

Answer:

8b + 40

Step-by-step explanation:

8( b + 5 )

8×b + 8×5

8b+40

Answer:

if it asking for the type of angle the both are obtuse and the fisrt measure is 135 and the second is 101

Step-by-step explanation:

The relation between 135 and x is corresponding angles.

The value of x is 135 degree.

because the corresponding angles are equal.

Here it is:                                      

Distributive Property

Answer:D.

-4°F

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

d

Answer:

B and C

Step-by-step explanation:

B. 3.5 x 0.98

C. 7/2 x 98/100

Answer:

x = -2

Step-by-step explanation:

You can also solve for the equation given.

2x + 7 = 1 - x

3x = -6

x = -2

The solution to the equation 2x + 7 = 1 - x is x = -2.

To solve the equation 2x + 7 = 1 - x by graphing, we can plot the two equations on a graph and identify the point where they intersect.

First, let's graph y = 2x + 7 and y = 1 - x on the same coordinate system.

The equation y = 2x + 7 represents a straight line with a slope of 2 and a y-intercept of 7.

The equation y = 1 - x represents a straight line with a slope of -1 and a y-intercept of 1.

Plotting these lines, we can see that they intersect at a specific point on the graph. The coordinates of this point represent the solution to the equation 2x + 7 = 1 - x.

By visually inspecting the graph, we can determine the point of intersection, which is approximately (-2, 3). This means that x = -2 is the solution to the given equation.

To learn more about the equation;

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Answer:

The original length of the new candle is 10 inches

Step-by-step explanation:

The form of the linear function is y = m x + b, where

∵ L represents the length of the candle remeaning unburned in inches

∵ t represents the time after the candle was lit in hours

∵ The relationship between L and t is linear

→ Put it in the form of the equation above

∴ L = m t + b, where b is the original length of the new candle

→ Use the table to find m

∵ m = [tex]\frac{L2-L1}{t2-t1}[/tex]

∵ (1, 9) and (6, 4) are two points in the given table

∴ t1 = 1 and L1 = 9

∴ t2 = 6 and L2 = 4

→ Substitute them in the rule of m above

∵ m = [tex]\frac{4-9}{6-1}[/tex] = [tex]\frac{-5}{5}[/tex] = -1

∴ m = -1

→ Substitute it in the equation above

∵ L = -1(t) + b

∴ L = -t + b

→ To find b substitute t by 1 and L by 9

∵ 9 = -(1) + b

∴ 9 = -1 + b

→ Add 1 to both sides

∵ 9 + 1 = -1 + 1 + b

∴ 10 = b

∵ b is the original length of the new candle

∴ The original length of the new candle is 10 inches

It would take 11 months of membership for the total money paid to each club to be the same.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent the number of months subscribed. Hence,

For Roman's gym:

Total payment = 25x + 49.99

For Athens Fitness:

Total payment = 18x + 126.99

For both clubs to have the same payment:

25x + 49.99 = 18x + 126.99

7x = 77

x = 11

It would take 11 months of membership for the total money paid to each club to be the same.

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Answer:

y≤2x

Step-by-step explanation:

answer in comments

Answer:

C

Step-by-step explanation:

Because C line has the straighest edge and it's the most consistent

Answer:

112

Step-by-step explanation:

srry. i meant to put 112 erlier

Answer: 345 dollars a week

Step-by-step explanation:

Answer:

345.63

Step-by-step explanation:

39.5*8.75=345.625

345.625=345.63

Step-by-step explanation:

m= 2

x1 = -6

y1 = 3

Applying the formula,

y-y1 = m(x-x1);

we have,

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

y- 3 = 2(x + 6)

y - 3 = 2x + 12

y -2x -3 -12 = 0

y -2x -15 = 0

Therefore the equation of the line is;

2x - y + 15 = 0

Answer:

See below.

Step-by-step explanation:

Jane and John are each hiking a trail in the city.  Jane is on her bike, and John is jogging.

At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.

Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.

x is the number of hours after noon.

Will Jane catch John?  After how many hours?

Answer:

The answer is 8.

Step-by-step explanation:

hope that helps

Answer:

15 gallons

Step-by-step explanation:

Given that:

Pumping rate is modeled by the equation :

Q(t)=45-t gallons per minute ; where t is in minutes

Number of gallons in tank after 30 minutes ;

Q(t)=45-t

Q(30) = 45 - 30

Q(30) = 15

Hence, Number of gallons in tank after 30 minutes is 15 gallons

Answer:

its counting down

Step-by-step explanation:

because it was in the positives and went down to the negatives