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Neko [114]
3 years ago
13

Simplify (7 i) − (6 − 2i). a. −2 b. 1 − i c. 1 3i d. 4

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0
(7 + i) - (6 - 2i) = 7 + i - 6 + 2i = 1 + 3i
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You want to make a necklace with 5 beads on it; you have a bag that contains 5 differently colored beads. You draw a bead from t
Vladimir [108]
There are 120 different combinations.

There are 5 to use for the first bead; then after it is used, 4 for the second; 3 for the third; 2 for the fourth; and 1 for the fifth and last bead:

5*4*3*2*1 = 120.
8 0
3 years ago
If 75 g of liquid water ( C = 4.18 j/g C ) in a calorimeter changes temperature from 25 C to 75 C, how much heat was transferred
levacccp [35]
The answer is 157kJ

formula: q=mcT

q= 75 g x 4.18 J/goC x 50 oC
q= 157 kJ
4 0
3 years ago
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If two points on a line are A(10, −3) and B(12, 9), the rise is __________, and the run is __________, so the slope of the line
kherson [118]

The <u>rise</u> is the difference in y-coordinates:

  • y₂ - y₁ = 9 - (-3) = 12

The <u>run</u> is the difference in x-coordinates:

  • x₂ - x₁ = 12 - 10 = 2

The <u>slope</u> is the quotient of rise over run:

  • m = 12/2 = 6

========================

If two points on a line are A(10, −3) and B(12, 9), the rise is <u>12</u>, and the run is <u>2</u>, so the slope of the line is <u>6</u>.

7 0
1 year ago
Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. What is the
vodomira [7]

Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase

<em><u>Solution:</u></em>

Given that Two years ago, Sally had 5,000 dogs in her dog shelter

Now she has 24,575 dogs

To find: rate of change

A rate of change is a rate that describes how one quantity changes in relation to another quantity

<h3><u>Steps to follow:</u></h3>
  • First: work out the difference (increase) between the two numbers you are comparing.
  • Increase = New Number - Original Number.
  • Then: divide the increase by the original number and multiply the answer by 100.
  • % change = Increase ÷ Original Number x 100

\text {rate of change }=\frac{\text { new value }-\text {original value}}{\text {original value}} \times 100

\begin{array}{l}{\text { rate of change }=\frac{24,575-5000}{5000} \times 100} \\\\ {\text { rate of change }=\frac{19575}{5000} \times 100=391.5}\end{array}

Thus the rate of change is 391.5 % increase

5 0
3 years ago
write the equation of the line that has a slope of three and a Y intercept of eight in slope intercept form
MariettaO [177]

Answer:

y = 3x + 8

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

4 0
2 years ago
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