Simplify the expression.


5(2-j) + (2j-3)

Answers

Answer 1

Answer:

7-3j

Step-by-step explanation:

Answer 2

Answer:

7 - 3j

Step-by-step explanation:

5(2-j) + (2j-3)

Open the brackets. Take note of the signs.

10-5j + 2j-3

Rearrange.

10 - 3 -5 j + 2j

= 7 - 3j

Please thank, rate 5 stars, and give brainliest. Thank you.


Related Questions

2. A laser printer prints 200 pages in 4
minutes. How many pages does it print in 25
minutes?
А
1000
800
2
1250
1050

Answers

Answer: I think the answer is 1250.

Step-by-step explanation:

I did 200 divided by 4 which is 50. I then multiplied 50 * 25 and got 1250.

One cup of yogurt contains 13 g of protein. Convert this to milligrams

Answers

Answer: 13000.00mg :) hope this helps

please answer thank you!!

Answers

Answer:

C

Step-by-step explanation:

Distribute

-6x + 20 = 15

C

just distribute

hope it helps

part 5. Use the laws of sines. Please show work. Round to the nearest tenth.​

Answers

Answer:  17) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

17) a = 29, b = 13, c = 21, C = ???

   c² = a² + b² - 2ab · cos C

21² = 29² + 13² - 2(29)(13) · cos C

441 = 841 + 169 - 754 cos C

441 = 1010 - 754 cos C

-569 = -754 cos C

[tex]\dfrac{569}{754}=\cos C\\\\\cos^{-1}\bigg(\dfrac{569}{754}\bigg)=C[/tex]

41.0° = C

18) a = 29.3, b = 25.7, c = 16.8, B = ???

   b² = a² + c² - 2ac · cos B

25.7² = 29.3² + 16.8² - 2(29.3)(16.8) · cos B

660.49 = 858.49 + 282.24 - 984.48 cos B

660.49 = 1140.73 - 984.48 cos B

-480.24 = -984.48 cos B

[tex]\dfrac{480.24}{984.48}=\cos B\\\\\cos^{-1}\bigg(\dfrac{480.24}{984.48}\bigg)=B[/tex]

60.8° = B

19) a = 12, b = 19, c = 11, A = ???

   a² = b² + c² - 2bc · cos A

12² = 19² + 11² - 2(19)(11) · cos A

144 = 361 + 121 - 418 cos A

144 = 482 - 418 cos A

-338 = -418 cos A

[tex]\dfrac{338}{418}=\cos A\\\\\cos^{-1}\bigg(\dfrac{338}{418}\bigg)=A[/tex]

36.0° = A

20) a = 10, b = 9, c = 18, A = ???

   a² = b² + c² - 2bc · cos A

100² = 9² + 18² - 2(9)(18) · cos A

100 = 81 + 324 - 324 cos A

100 = 405 - 324 cos A

-305 = -324 cos A

[tex]\dfrac{305}{324}=\cos A\\\\\cos^{-1}\bigg(\dfrac{305}{324}\bigg)=A[/tex]

19.7° = A

Answer:

7) 41.0°      18) 60.8°       19) 36.0°        20) 19.7°

Step-by-step explanation:

A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.

Answers

Answer:

a

[tex]w =  11.58 \ rad/minutes[/tex]

b

[tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Step-by-step explanation:

From  the question we told that

    The radius of the wheel is  [tex]r = 38 \  ft[/tex]

     The  speed of the passenger is  [tex]v  =  5 \  miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]

  Generally the angular speed is mathematically represented as

     [tex]w =  \frac{v}{r}[/tex]

=>   [tex]w =  \frac{7.3}{ 38}[/tex]

=>   [tex]w =  0.193 \ rad/s[/tex]

now converting the seconds to minutes

        [tex]w =  0.193 *60[/tex]

        [tex]w =  11.58 \ rad/minutes[/tex]

Generally number of revolutions the wheel makes per minutes is mathematically represented as

     [tex]R = \frac{11.58 }{2 \pi}[/tex]

      [tex]R = 1.84 \ rpm[/tex]

Generally number of revolutions the wheel makes per hour  is mathematically represented as

       [tex]R_h  =   R *  60[/tex]

=>     [tex]R_h  =  1.84 * 60[/tex]

=>    [tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Help i dont understand pls help :(

Answers

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

If there are 90 calories in Three-fourths cup of yogurt, how many calories are in 3 cups of yogurt? 30 calories 202 calories 270 calories 360 calories

Answers

Answer:

360 calories

Step-by-step explanation:

you divide 3 by 3/4ths and you get 4. You then multiply 90 by 4 and the solution is 360 calories.

Answer:

360

Step-by-step explanation:

Soccer ball specifications require a diameter of 8.65 inches with an allowable margin of error of 0.05 inch.
Use this information to complete these statements.

The equation that can be used to find d, the diameter of a new soccer ball, is
| ____ | = ____
The minimum possible diameter of a soccer ball is ____,
and the maximum possible diameter is ____

Answers

Answer:

Equation for new diameter: |d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.60 inches

Maximum possible diameter = 8.70 inches

Step-by-step explanation:

We are told that:

Ball specifications require a diameter (d) = 8.65 inches.

Allowable margin of error = 0.05 inch

Now, since we have a value for the allowable margin of error, it means that the absolute value equation to determine the possible value or the new diameter (d') would be;

|d' - 8.65| ≤ 0.05

Minimum possible diameter = 8.65 - 0.05 = 8.60 inches

Maximum possible diameter = 8.65 + 0.05 = 8.70 inches

What number should be placed in the box to help complete the division calculation of 2635 divided by 17

Answers

Answer:

divided

Step-by-step explanation:

divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.

Find the volume of the solid shown or described. If necessary round to the nearest tenth. What is the volume of the shed?

Answers

Answer:

Volume of shed = 38 m³

Step-by-step explanation:

Given:

Length = 5 m

Width = 2 m

Height of wall = 3 m

Height of triangular shed = 1.6 m

Find:

Volume of shed

Computation:

Volume of shed = Volume of walls + Volume of triangular shed

Volume of shed = [lbh] + [1/2][Base area]h

Volume of shed = [(5)(2)(3)] + [1/2][(5)(2)]1.6

Volume of shed = [30] + [8]

Volume of shed = 38 m³

If 50 percent of the families in a certain city subscribe to the morning newspaper, 65 percent of the families subscribe to the afternoon newspaper, and 85 percent of the families subscribe to at least one of the two newspapers. What percentage of the families subscribe to both newspapers?

Answers

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%

A recipe for 24 cookies calls for 6 tablespoons of sugar. Which of the amounts below would be a correct ratio of cookies to sugar if you were to use the recipe?

Answers

Answer:

1:4

Step-by-step explanation:

0.25 tablespoons of sugar will be used per cookie

Answer:

4 cookies per tablespoon of sugar

Step-by-step explanation:

24 cookies divided by 6 tablespoons of sugar equal 4 cookies per tablespoon of sugar

By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,

Answers

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Jade receives total employment benefits that are 17.5% of her gross annual pay. If Mary has a gross annual pay of $60,500, how much in total job benefits does she receive?
A. $71,087
B. $81,087
C. $61,087
D. $51,087

Answers

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

AB = 5x -9; BC= -2x + 12

Answers

Answer:

X=-3

Step-by-step explanation:

5x - 9

-2x + 12

(+) (-)

7x = -21

X= -3

plz mark ice bear as Brainliest

Officer Brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent Help me please

Answers

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

1/2 - 1/5

I don’t know how to do these problems

Answers

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

I agree with the answer above and very well explained ^

Demonstrate your knowledge of probability here. If you were to spin the spinner and roll the die below….. What is the P(green or 5)?

Answers

Answer:

P= any number or color

Step-by-step explanation:

because there is all sorts of cobinations.

But the most possible one is

Red for the spinner and any number for the die.

possible answers.

red:1

Red:2

Red:3

Red:4

Red:5

Red:6

Brainly please

When writing a repeating decimal as a fraction, does the number of repeating decimal digits you use matter? Explain.

Answers

Answer:

No

Step-by-step explanation:

If you have a repeating decimal it doesn't matter who many decimal digits there are. Most repeating decimals I have encountered end up converting into a fraction that has a denominator of 9.

Hope This Helps :)

Answer:

It depends

Step-by-step explanation:

It depends on what the repeating decimal is. For instance if the decimal is a repeating 8 then you only have to use one digit. If, however, it is something like .673673673 going on forever you just need however many until it loops again. In this case you would need three, because that is how long the loop is.

WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.

Answers

Answer:

(0,-2)

Step-by-step explanation:lol rsm hw

ok so just take average of two points (-1, -2) (1, -2)

-1+1=0/2=0

-2+(-2)=-4/2=-2

You can do this with B and D too

Have fun in rsm


Mr. Adams plans to have a swimming pool built in his backyard. He would like to have
a rectangular section and a square section for the design of his pool
Swimming Pool
- square foot
What is the total area of the swimming pool in square feet?
OF) 105 square units
OG) 26 square units
OH) 80 square units
OJ) 56 square units

Answers

Answer

56

Step-by-step explanation:

i do it on usa test prep

It is 56 square feet

10 − 2(22 + 1) ÷ 23

help me pls thanks

Answers

Answer:

8

Step-by-step explanation:

8 like the answer above I am pretty sure

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)

Answers

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

what is the average rate of change

Answers

Answer:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

It is a measure of how much the function changed per unit, on average, over that interval.

evaluate 3 + 6 x 4 - 16/2

Answers

Answer:

19

Step-by-step explanation:

-5x² – 2x+10 - x² + 7x +5

Answers

Answer:

-6x² + 5x + 15

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of variables.

Reorder based on descending powers:

-5x² - x² + 7x - 2x + 10 + 5

(-5x² - x²) + (7x - 2x) + (10 + 5)

(-6x²) + (5x) + (15)

-6x² + 5x + 15 is your answer.

~

One-fourth of a number is five-eighths. Find the number.

Answers

Answer:

5/32

Step-by-step explanation:

Since 5/8 x 1/4 = 5/32, that is the answer.

Key Note: When you get this type of question, multiply the second  umber by the first.

If someone rode for 2 hours at 3 miles per hour, how far would they go?

Answers

Answer:

Six miles

Step-by-step explanation:

You multiply the two by the three (2x3) and get six (6)

Customers at a certain pharmacy spend an average of $54.40, with a standard deviation of $13.50.What are the largest and smallest amounts spent by the middle 50% of these customers?

Answers

Answer:

Largest is  [tex]x_2 = \$ 63.506[/tex]

Smallest is  [tex]x_1 = \$ 45.29[/tex]

Step-by-step explanation:

From the question we are told that

  The  mean is  [tex]\mu = \$ 54.40[/tex]

   The  standard deviation is  [tex]\sigma = \$ 13.50[/tex]

 

The largest and the smallest amount spent by 50% of the costumer is mathematically represented as

        [tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]

=>    [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]

Given that this is normally distributed we have that

      [tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]

and

    [tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]

From the normal distribution curve that z-score having a probability of 0.25 is  

0.6745

So

    [tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]

=>  [tex]x_1 = \$ 45.29[/tex]

and  

   [tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]

=>  [tex]x_2 = \$ 63.506[/tex]

     

please helppppppppp meeeeee​

Answers

Answer:

2 1/4

Before Simplifying:

9/4

After Simplifying:

2 1/4

Answer: the exact form is 9/4 decimal form is 2.25 and the mixed number form is 2 and 1/4.

Step-by-step explanation:

so take 9/10 and turn 4/10 into 10/10 and the when you divied  use KFC and you turn your division sign into a multiplication sign then you just multiply 9/10 and 10/10 and you get 90/40

Then you just take the zero's off and you have 9/4 which equals 2 and 1/4

2 and 1/4 is your answer.

Other Questions
In the story Little Women, one family brings breakfast to another on Christmas morning. Read this passage and then answer the question that follows: A poor, bare, miserable room it was, with broken windows, no fire, ragged bedclothes, a sick mother, wailing baby, and a group of pale, hungry children cuddled under one old quilt, trying to keep warm. How the big eyes stared and the blue lips smiled as the girls went in. "Ach, mein Gott! It is good angels come to us!" said the poor woman, crying for joy. What explicit meaning can you find about the sick woman and her children from this text?(5 points) A. The father of the children left the family. b The children were cold and had not eaten. c The family bringing gifts pitied the children. d The woman would soon die from her illness. A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the yard. >The area is in square meters How would you write -5.6 x 10-3 in standard form? PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) Which of the following was one of the influences of the Roman republic in the farmin of the constitution Pls answer I am confused PLEASE HELP Four conditions needed for a nation-state This script is.....(select) Over one weekend the fast florist makes 368 deliveries of one dozen roses. Did the fast florist deliver more then or less than 4,000 roses? Explain. That's my question ^ please help which of the following has the supreme court decided in dealing with First Amendment cases involving religion When Matthew eats pizza, he always eats a whole slice at a time with no bites left over. Which graph best represents this situation? When Proctor and Gamble removed potentially dangerous dyes and chemicals from its Tide detergent product and introduced Tide Free they were making a _____.a) product line contraction.b) quality modification.c) aesthetics modification.d) obsolescence factor.e) functional modification. Calculus was developed byA-VesaliusB-Newton C-LockeD-Galileo Summary on French Revolution Because I could not stop for death he kindly stopped for me what is the rhyme scheme why did the catholic church believe that earth stood in the middle of the universe? part 3. Use the Laws of sines. Please show work. Round to the nearest tenth. Someone please help me with this printing press definition Solve the formula for the indicated variable.D = ABC for AA=