Preform the operation (answer in a+bi form) (i meaning imaginary number).(3+ √(9)(2- √(-25)

Answers

Answer 1
Answer: (3+\sqrt9)(2-√(-25))=\n(3+3)(2-5i)=\n6(2-5i)=\n12-30i

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The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?a. P(B|A) = y b. P(A|B) = y c. P(B|A) = x d. P(A and B) = x + y e. P(A and B) = x/y P(A)

Kristine bought a vase that cost $5.99 and roses that cost $1.25 each.the total cost was $20.99.write and solve the equation to find how many roses Kristine bought.

Answers

20.99=5.99+1.25r                                                                     (r =roses)
-5.99   -5.99
15=1.25r         divide by 1.25 since they multiply to get the r alone
1.25 1.25
12=r so she bought 12 roses
(to check if its right just plug in your answer 12 where your r is and you should get 15
;)

Final answer:

Kristine bought 12 roses. This was found by subtracting the cost of the vase from the total spent and then dividing by the cost of one rose.

Explanation:

To find how many roses Kristine bought, we can set up the following equation:

$5.99 + $1.25x = $20.99

Here, x represents the number of roses. To solve for x, we can subtract $5.99 from both sides of the equation:

$1.25x = $20.99 - $5.99

$1.25x = $15

Finally, divide both sides of the equation by $1.25 to solve for x:

x = $15 ÷ $1.25

x = 12

Therefore, Kristine bought 12 roses.

Learn more about Equations here:

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!!!!!!!!!!!!!! PLEASE HELP ME !!!!!!!!!!The scatter plot shows the trade-in value and private-party value of 10 cars. The equation for the regression line is = 1.1x + 1.37. Based on the equation, which statement is true?

A. For each increase of $1000 in private-party value, the trade-in value increases by $1100.

B. For each increase of $1000 in private-party value, the trade-in value increases by $1037.

C. For each increase of $1000 in trade-in value, the private-party value increases by $1100.

D. For each increase of $1000 in trade-in value, the private-party value increases by $1037.

Answers


In the question, they GIVE you the equation for the line:

           y = 1.1 x + 1.37 .

When you look at the graph, you notice that the numbers
are actually thousands, so the equation is really

           y = (1.1 thousand) x + (1.37 thousand)
or
           y  =  1,100 x  +  1,370 .

The slope of the line is  1,100 .

Choice 'C' says that, because

      the slope of any graph =  (change in 'y') / (change in 'x') .

C. For each increase of $1000 in trade-in value, the private-party value increases by $1100.

because when you see the chart when the trade in value goes up so does the private party value. The chart shows 1,000 in trade in value increasing and then private party value also increase by 11,000. 

In the diagram below, the measure of angle XAY is 72° (m∠XAY = 72°). Since the measure of the intercepted arc XY is 144°, a student named Naomi mistakenly claims that the measure of ∠XBY is also 144°.a. In a short paragraph, explain the source of Naomi’s error. In your response, be sure to describe the problem in terms of the following two formulas:

inscribed angle = 1/2 · (intercepted arc) and
intercepted arc = central angle.

Be sure to use important vocabulary like “inscribed angle,” “central angle”, and “intercepted arc”.

Answers

Answer:

Angle of the intercepted arc is equal to the angle at the centre (central angle) but B is not the centre hence XBY is not 144°.

Angle at the circumference (inscribed angle) is half of the central angle, but XBY is not the central angle, so it's not 2×72.

Hence not 144°

What is the value of y?
3y2 − 6 = 42
±___

Answers

3•y•2-6=42 6y-6=42 6y=42+6 6y=48 y=8 I hope that is right !

Paulo uses an instrument called a densitometer to check that he has the correct ink colour.For this print job the acceptable range for the reading on the densitometer is 1.8 ± 10%.

What is the acceptable range for the densitometer reading?


exactly 1.8

from 0 to 3.6

from 1.0 to 2.6

from 1.62 to 1.98

from 1.8 to 1.98

Answers

If it is said that the range of the answer should be +/- 10% of the particular value, we have to find out the percentage of that particular value. Therefore 10% of 1.8 is,

1.8 * 10/100 = 0.18

If we add this value to the original value,
1.8+0.18 = 1.98

If we subtract this value from the original value,
1.8-0.18 = 1.62

therefore the range will be,
from 1.62 to 1.98

The formula to find the area of the walls of a rectangular room is A=2h (l+b), h is wall height, l is room length, and b is room breadth. The area of doors and windows are ignored.Question - Using the formula find the wall area if the room length is 8m, breadth is 6m and height is 2.5 m.
Sorry but I have NO clue :(

Answers

Problems are very often written in a confusing way. This one couldn't possibly have been
written any more clearly.  Sooner or later, you have to stop telling yourself that you have
no clue, settle down, and carefully read the words that are right there on the page.

I'll tell you one more detail that's not in the problem:  "breadth" means "width".
 
Now.  The problem clearly tells you all of these things, in this exact order:

=>  Area of the walls = (2 x height) x (length + width)

=>  length = 8m
=>  width = 6m
=>  height = 2.5m 

Is there a reason you can't take the numbers for length, width, and height,
and write them in the formula for the area ?  Do I have to do all the work ?

Area = (2 x height) x (length + width)

Area = (2 x 2.5m ) x ( 8m    +   6m  )

Do the arithmetic inside the parentheses:

Area = (    5m     ) x (     14m          )

Do the multiplication:

Area = 70 m² .

You will never see a problem that comes any closer to answering itself for you.