(3 + 5i) + (11 -7i) Write answer in standard form a +bi

Answer:

56, 57, and 58.

Step-by-step explanation:

Answer:

1)26=8+v

v=26-8

v=18

2)3+P=8

P=8-3

P=5

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Answer: D

Step-by-step explanation:

The pair of variables that will most likely have a negative correlation are D. the time spent reading a book and the number of pages remaining to be read in the book.

If you spend a longer time reading a book, you would read more pages which would reduce the number of pages left to be read. The time taken to read the book is therefore negatively correlated with the number of pages left.

In conclusion, option D is correct.

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Answer:

18

Step-by-step explanation:

First, I'm assuming AB=4=4x-2 was a typo and it's supposed to be AB = 4x - 2

AB=BC

AB = 4x - 2 BC = 3x + 3

4x - 2 = 3x + 3

Solve for x Add 2 to each side

4x - 2 = 3x + 3

4x - 2 + 2 = 3x + 3 + 2

4x = 3x + 5 Subtract 3x from each side.

4x - 3x = 3x- 3x + 5

4x - 3x = 5

x = 5

Now plug back in to the original equations

AB = 4x - 2                  BC = 3x + 3

AB = 4 (5) - 2               BC = 3(5) + 3

AB = 20 - 2                  BC = 15 + 3

AB = 18                        BC = 18

So AB is 18

Answer:

4.02

Step-by-step explanation:

4+1/5

4+0.2

4.02

Answer:

Average velocity of the function over the given interval

              =  [tex]log(\frac{7}{4} ) -2[/tex]

Step-by-step explanation:

Explanation:-

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

             Average velocity  = [tex]\frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx[/tex]

                               =    [tex]\frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx[/tex]

now integrating

                           =   [tex]\frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )[/tex]

                           = [tex]\frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}[/tex]

                        =   [tex]\frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))[/tex]

by using formulas

                 log a-log b = log(a/b)

  on simplification , we get                  

                 = [tex]\frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)[/tex]

                = [tex]log(\frac{7}{4} ) -2[/tex]

Average velocity of the function over the given interval

              =  [tex]log(\frac{7}{4} ) -2[/tex]

Answer:

90

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

96 bales

Step-by-step explanation:

[tex]\frac{64}{4}[/tex] = [tex]\frac{x}{6}[/tex]

You must multiply 6 by 64, which is 384.

Then you divide that by 4, which is 96.

Therefore, the answer is 96.

Also, I lined up the bales in the same row and horses in the same row, so this way can help. It can also help if it's in the same column though, but I hope this helped you!

Answer:

96

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2 n + 3 = 6

-3 -3

1/2 = 3

Answer is 1.5=n

Answer:

n = 18

Step-by-step explanation:

(1/2)*n-3 = 6 // - 6

(1/2)*n-6-3 = 0

1/2*n-9 = 0 // + 9

1/2*n = 9 // : 1/2

n = 9/1/2

n = 18

n = 18

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Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4

Answer:

2

Step-by-step explanation:

Answer:

0.5%/year

24.2%

Step-by-step explanation:

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation

Percentage of females by year:

1980 = 6.2%

1990 = 10.8%

2000 = 13.6%

2012 = 21.7%

Average yearly increase :

Percentage increase between 1980 - 2012 :

2012% - 1980% = ( 21.7% - 6.2%) = 15.5% increase over [(2012 - 1980)] = 32 years

15.5 % / 32 years = 0.484375% / year = 0.5%/year

b. Estimate the percentage of first-year college females who will claim no religious affiliation in 2030,

Given an average increase of 0.484375% / year

(2030 - 1980) = 50 years

Hence by 2030 ; ( 50 years × 0.484375%/year) = 24.218% will claim no religious affiliation.

=24.2% (nearest tenth)

In this exercise we have to use the percentage knowledge to calculate an estimate per year, in this way we find that;

A) [tex]0.5\%/year[/tex]

B) [tex]24.2\%[/tex]

Estimate the average yearly increase in the percentage of first-year college females claiming no religious affiliation.  Percentage of females by year:

[tex]1980 = 6.2\%\\1990 = 10.8\%\\2000 = 13.6\%\\2012 = 21.7\%[/tex]

A) Average yearly increase  can be caculeted by:

[tex]2012\% - 1980\% = ( 21.7\% - 6.2\%) = 15.5\% = 32 years \\15.5 \% / 32 years = 0.484375\% / year = 0.5\%/year\\[/tex]

B)  Estimate the portion of first-old age institution of higher education woman the one will claim no religious association with an organization fashionable 2030, Given an average increase of:

[tex](2030 - 1980) = 50 years\\ ( 50 years * 0.484375\%/year) = 24.2\%[/tex]

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Answer:

12a

Step-by-step explanation:

Because -9a and 9a would get rid of themselves the only "a-value" left is 12a. 10 and -10 also cancel each other out so 12a is all that is left.

If you need more help let me know, have a great day!

Answer:

12

Step-by-step explanation:

No of tulips = 60

No of daffodils = 72

We need to find the greatest number of bouquets the florist can make if the florist will make bouquets with the same number of tulips and the same number of daffodils in each using all the flowers.

It would mean that we need to find the HCF of 60 and 72

Prime factorisation of 60 = 2×2×3×5

Prime factorization of 72 =  2 x 2 x 2 x 3 x 3

Highest common factor or HCF = 2×2×3 = 12

So, the florist can make 12 bouquets as maximum number.

Answer:

- A reflection can be done on a point, shape, or object

- A reflection flips a shape across a line

Step-by-step explanation:

A reflection is a rigid transformation, meaning that the object that you are reflecting does NOT change size or shape. A reflection is when you graphically "flip" an image across a line such as the x-axis or the y-axis.

Answer:

70.71m

Step-by-step explanation:

In order to find the diagonal, we can use Pythagiras theorem by splitting the field in half and creating a right angled triangle.

A^2+B^2=C^2

50^2+50^2=C^2

5000=C^2

Square root 5000= 70.71m (2dp)

Hope this helped!

Since there is a barricade placed along the diagonal sq field, let's focus on one side of the triangle.

A pythagoras theorem formula can be used for right angle triangle.

So now we let the barricade be X.

By Pythagoras Theorem,

X² = 50² + 50²

X = sq root (50² +50²)

= 70.711 m ( 5sf)

= 70.7 m ( 3sf)

Therefore, the length of barricade is 70.7 m

Answer:

Step-by-step explanation:

(1 - 9)/(7 - 9)= -8/-2 = 4 is the slope

Answer:

3/x

Step-by-step explanation:

1 wall - x hours

y wall - 3 hours

y = (1*3)/x=3/x

The fraction of the wall that she paints in 3 hours is 3/x.

Here,

A painter paints a wall in x hours.

We have to find, the fraction of the wall that she paints in 3 hours.

What is fraction?

A fraction simply tells us how many parts of a whole we have.

Now,

Here, A painter paints a wall in x hours

1 wall = x hours

Let number of walls is z when she paints in 3 hours.

z wall = 3 hours

Hence, The fraction of the wall that she paints in 3 hours =( 1 x 3)/x

                                                                                        = 3/x

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Answer:

I believe it is y=2x+6.

Answer:

[tex]y=2\,x+6[/tex]

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points, using the slope formula:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{12-(-4)}{3-(-5)} =\frac{16}{8} =2[/tex]

Now, you can write the general equation of the line in slope-intercept form as:

[tex]y=m\,x+b\\y=2\,x+b[/tex]

and find the line's y-intercept (b) by using either one of the given points - for example (3, 12):

[tex]y=2\,x+b\\12=2\,(3)+b\\12=6+b\\b=6[/tex]

Therefore, the equation of the line is:

[tex]y=2\,x+6[/tex]

Answer:

15 Square Units

Step-by-step explanation:

if area = length x width

you take the length of 5 and multiply it by the width 3

the expression would end up looking like 5 x 3 = 15 square units

Don't forget the label <3

Answer:

C) line BD

Step-by-step explanation:

If you fold along the line the sides of the shape should line up perfectly. the only answer listed that fits the criteria is C

Answer:

k/9 < 1/3

k < 3

Step-by-step explanation:

quotient is division

k/9 < 1/3

Multiply each side by 9

k < 9/3

k < 3

Step-by-step explanation:

(f○g)(-3)

= f(g(-3))

g(-3) =

[tex] \frac{2}{2( - 3) - 1} [/tex]

g(-3) = -2/7

f(-2/7) = (-2/7)^2 + 2(-2/7) -4

= 4/49 - 4/7 - 4

= 4/49 - 28/49 - 196/49

= -220/49

please check again ^-^

Answer:

B. Reflection

Step-by-step explanation:

Answer:

21.42x+28.56

Step-by-step explanation:

Expand: 4.2×5.1×x+4.2×6.8

4.2×5.1×x  to (21.42)x

Simplify: 21.42x+4.2×6.8

4.2×6.8 = 28.5628.56

21.42x+28.56

Answer:

Tip amount: $6.49

Final amount of the bill: $38.92

Step-by-step explanation:

We need to calculate the tip amount which is 20% of $32.43.

Then we will add the tip amount to $32.43.

To find a percent of a number, change the percent to a decimal by dividing the percent by 100 and multiply by the number.

20% of $32.43 =

= 0.2 * $32.43

= $6.486

We round off the tip amount to the nearest cent, $6.49

The tip amount is $6.49

To find the final amount of the bill, we add the tip amount to the bill amount.

$32.43 + $6.49 = $38.92