Can anyone help me with this equation? I need to show the work
Simplify the expression (5-4i) (-3 - 4i) – (10-3i)

Answers

Answer 1

Answer:

[tex]-5i-41[/tex]

Step-by-step explanation:

Hi there!

[tex](5-4i) (-3 - 4i) - (10-3i)[/tex]

Open up the parentheses

[tex]= -15-20i+12i+16i^2- 10+3i[/tex]

i² = -1

[tex]= -15-20i+12i-16- 10+3i[/tex]

Combine like terms

[tex]= -5i-41[/tex]

I hope this helps!


Related Questions

here is the other question

Answers

Answer:

1. -3 × A1 + A2 --> B2

2. [tex]-\frac{1}{7}[/tex] × B2 --> C2

Step-by-step explanation:

1. -3 × A1 + A2 --> B2

(4x × -3) + 12x = -12x + 5x = -7x

(2y × -3) + 6y = -6y + 6y = 0y

(-10 × -3) + -9 = 30 - 9 = 21

2. [tex]-\frac{1}{7}[/tex] × B2 --> C2

-7x × [tex]-\frac{1}{7}[/tex] = 1x

21 × [tex]-\frac{1}{7}[/tex] = -3

Same process as last time

What is 7.83 x10^6 in decimal form

Answers

Answer:

7830000.00

Step-By-Step Explanation:

78 - 783 - 7830 - 78300 - 783000 - 7830000

Answer:   7830000

Step-by-step explanation:

7.83*10^6=

------------->

7.83*10^6=7.83

since the exponent equals 6, lets move the decimal sign 6 places to the right.

7.83*10^6=7.8.3.0.0.0.0.

Result is 7 8 3 0 0 0 0  

7.83*10^6=7830000

PLEASE HELP ME!! I really need the help with this question!!

Answers

1st graph

A simple way to test if a relation may be taken as a function is by applying the Vertical Line Test. If a Vertical Line crosses the graph only once, then it is a function. In this question, only the first one can be considered to be a function.
Because in other words, only the first graph shows one value for x corresponding to another for y value. Not the case for the second and the third graph displaying two values for x for each y value.

6 short questions 50 POINTS

Answers

Answer:

KN be better

sons of if his

The Cardinality of this set {7,8,9) includes
a. n(P) = 3
b. n(P) = 6
c. n(P) = 24
d. n(P) = 2

Answers

The answer is n(p)=3

Answer:

The Cardinality of this set {7,8,9} is n(P) = 8.

Step-by-step explanation:

Because:

n(P) = {{}, {7}, {8}, {9}, {7, 8}, {8, 9}, {7, 9}, {7, 8, 9}}

Hence by the formula 2^k.

where, k = number of elements in the set.

The cardinality is 8.

hello can someone help me on this question

Answers

Answer:

what question

Step-by-step explanation:

Simple Arcs and Sectors question attached. First person to answer correctly gets 50 points. Good Luck!!

Answers

Step-by-step explanation:

a=12/56°

b=14/65°

c=238°

Use the Chain Rule to express the second derivative of f∘g in terms of the first and second derivatives of f and g.

Answers

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

Mathematically speaking, a composition between two functions is defined by the following operation:

[tex]f\,\circ\,g\,(x) =f(g(x))[/tex] (1)

By Chain Rule we get the first and second derivatives of the composition:

First derivative

[tex]\frac{d}{dx} (f\,\circ\,g\,(x)) = \frac{df}{dg}\cdot \frac{dg}{dx}[/tex] (2)

Second derivative

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex] (3)

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

We kindly invite to check this question on chain rule: https://brainly.com/question/23729337

What is the perimeter of a rectangle with a length of 11.25 inches and a
width of 8 inches?

Answers

Answer:

38.5 in

Step-by-step explanation:

11.25 in + 11.25 in + 8 in + 8 in

= 38.5 in

500 children ages 5-11 were asked the following question:



"Do you read books for fun every day?"


Results are shown in the two-way table below.





Boy Girl Total
Yes 48 75
No 182 195
Total 500




a. In this sample, what proportion of children are boys? (Round your answer to the nearest hundredth)


b. What proportion of boys read books for fun every day? (Round your answer to the nearest hundredth)


c. What proportion of girls read books for fun every day? (Round your answer to the nearest hundredth)


d. Based on the findings, does the likelihood of reading books for fun depend on the gender of a child? Explain.


e. If a child is selected at random, find the probability that the child reads book for fun. (Round your answer to the nearest hundredth)


f. If a child is selected at random, find the probability that the child is a girl AND reads book for fun. (Round your answer to the nearest hundredth)


g. If a child is selected at random, find the probability that the child is a girl OR reads book for fun. (Round your answer to the nearest hundredth)


h. If a child is selected at random, find the probability that the child reads book for fun GIVEN that the child is a girl. (Round your answer to the nearest hundredth)

Answers

a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.

500 children ages 5-11 were asked the following question:

"Do you read books for fun every day?"

Results are shown in the two-way table below.

             Boy    Girl     Total

Yes         48      75       123

No          182     195     377

Total      230    270     500

What are proportions?

A proportion is the number of desired outcomes divided by the number of total outcomes.

a. Proportion of children that are boys.

There are 500 children and 230 are boys.

230/500 = 0.46

b. Proportion of boys who read books for fun every day.

There are 230 boys and 48 read books for fun every day.

48/230 = 0.21

c. Proportion of girls who read books for fun every day.

There are 270 girls and 75 read books for fun every day.

75/270 = 0.28

d. Does the likelihood of reading books for fun depend on the gender of a child?

Based on the results from b and c, it would seem more likely for a girl to read books for fun than for a boy.

e. For a child selected at random, what is the probability that the child reads books for fun?

There are 500 children and 123 read books for fun.

P = 123/500 = 0.25

f. For a child selected at random, what is the probability that the child is a girl and reads books for fun?

There are 500 children and 75 are girls who read books for fun.

P = 75/500 = 0.15

g. For a child selected at random, what is the probability that the child is a girl or reads books for fun?

There are 500 children. The favorable cases are the girls (270) plus the children who read books for fun (123) minus the girls who read books for fun (75).

P = (270 + 123 - 75)/500 = 0.64

h. For a child selected at random, what is the probability that the child reads books for fun given that the child is a girl.

There are 270 girls and 75 of them read books for fun.

P = 75/270 = 0.28

a. The proportion of children who are boys is 0.46.b. The proportion of boys who read books for fun every day is 0.21.c. The proportion of girls who read books for fun every day is 0.28.d. It would seem more likely for a girl to read books for fun than for a boy.e. For a child selected at random, the probability that the child reads books for fun is 0.25.f. For a child selected at random, the probability that the child is a girl and reads books for fun is 0.15.g. For a child selected at random, the probability that the child is a girl or reads books for fun is 0.64.h. For a child selected at random, the probability that the child reads books for fun given that the child is a girl is 0.28.

Learn more about proportions here: https://brainly.com/question/25259185

What does the Safe Place sign indicate?

Safe Place logo

This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis

Answers

Answer:

This a place where kids can go

Step-by-step explanation:

in crisis

Answer:

This is a place kids can play

Step-by-step explanation:

In crisis

2 x 7 x 5 x 2 x ____=48

Answers

Answer:that is actually not correct

Step-by-step explanation:

2x 7 x 5 x 2 do nit equal 48 but they do equal 140

Answer:

-12/35

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Find the product using formula ... formula = ( a + b ) ( a - b ) a) 1.2 × 2.8​

Answers

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

Solution:

1.2×2.8

= (2-0.8)(2+0.8)

= (2)^2 - (0.8)^2

= 4 - 0.64

= 3.36

Answer:

3.36

Hope it helps.

Do comment if you have any query

17. The price of napkins and the number of napkins is listed in the table below.
Number of
Price of
Napkins (1) Napkins (p), in
cents
200
140
300
210
400
280
500
350
600
420
Letp represent the price of the napkins and the number of napkins. Which equation shows the
relationship between the price of napkins and number of napkins?
A.pn=7C.pn=0,7
B.np = + 70 D.pn = +100

Answers

Answer:

The question is very nice.

,Iike it.

9/10 minus blank equals 1/5

Answers

Answer:

7/10

9/10 - ____ = 2/10

9 - 7 = 2

So, 9/10 - 7/10 = 2/10 or 1/5

Step-by-step explanation:

4. If the paint costs $30 per gallon and you need to spend $60 on supplies, and you can
save $45 per month, in how many months will you have enough money for the project?

Answers

Step-by-step explanation:

if I understand this right, then you need paint and additional supplies.

but I don't see any information indicating how many gallons of paint I will need.

so, I can go only with the 1 gallon specified.

so,

1×30 + 60 = $90

we can save $45 per month.

then we need

90 / 45 = 2

months to have enough money.

please update the numbers to how many gallons you really need, and then take that result and divide it by the 45 savings per month.

Is 34/18 greater or less than or equal to 1 5/6

Answers

Answer:

34/18 is greater than 1 5/6.

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

Answer:

greater than

Step-by-step explanation:

1=6/6 and 6+5=11, so 1 5/6= 11/6

Next, you want to find a common denominator, in this case 18

11/6=x/18

x=33

11/6=33/18

34/18 > 33/18

What kind of sequence is this? 34, 44, 54, 64, ...​

Answers

+10

Each number, 10 gets added
Arithmetic sequence with a common difference of 10

164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?

Answers

Answer:

  3

Step-by-step explanation:

we know that 23x7=161

so there will be 3 people on the last trip to the top

Heyyyyyyyyyyyyyyyyyyyyyyyyyy!

Answers

Hi how are you hope all is well

Solve 5(x+3) = -2(x-7)
x=-22/7
x=-1/7
x=-8/3
x=1/7 choose one

Answers

Answer:

x=-1/7

Step-by-step explanation:

5x+15=-2x+14

5x+2x=14-15

7x=-1

x=-1/7

Step-by-step explanation:

5(x+3) = -2(x-7)

5x + 15 = -2x + 14

7x = -1

x = -1/7

.In TIPS, the classroom of Grade 7A has a section of a field that measures 4 x 10 3 feet
by 5 x 105 feet. Another section Grade 7B is measuring 6 x 10 4 feet by 3 x 104 feet
(a)What is the area of the Grade 7A?
(b)What is the area of the Grade 7B?
(c)Which section has larger area? And how much is larger?

Answers

Answer:It's easy for us to visualize a meter; that's about 3 feet. ... nm (10-9 m) to 100 nanometers (100 x 10-9 = 10-7 m) and the unique properties that arise.

Step-by-step explanation:

Find the amplitude of the function
y= -4 sin 1/3x

A. 6pi

B. 4pi/3

C. 4

D. Pi/4

Answers

Answer:

B......................


2 (3m + 1)²
Expand and simplify

Answers

2 (3m+1)^2

2(9m^2 +6m+1)

Final answer
18m^2+12m+2

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\boxed{\mathsf{2(3m + 1)^2}}\\\large\boxed{\mathsf{\rightarrow 2\times (3m + 1)\times 3(3m + 1)}}\\\large\boxed{\text{\bf SIMPLIFY IT}}\ \large\boxed{\ \uparrow}\\\large\boxed{\mathsf{\rightarrow 18m^2+ 12m + 2}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{18m^2 + 12m + 2}}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


4 - 4y + y - 3
7-5y+2+1
What are the like terms coefficients

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Question \#1}\downarrow\\\\\large\textsf{4 - 4y + y - 3}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-4y + y)+ (4 - 3)}\\\large\text{SOLVE IT!}\\\large\textsf{= -3y + 1}\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{-3y + 1}}}\huge\checkmark[/tex]

[tex]\large\text{Question \#2}\downarrow\\\\\large\textsf{7 - 5y + 2 + 1}\\\large\text{COMPARE the LIKE TERMS}\\\large\textsf{= (-5y)+ (7 + 2 + 1)}\\\large\textsf{(-5y) + (9 + 1)}\\\large\textsf{= (-5y) + 10 }\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-5y + 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Evaluate : X + 2 ( x -20) (4)
for x = 10

Answers

Answer:

x + 2 ( x - 20 )( 4 ) = -70

Step-by-step explanation:

hope this helps. . .<3

Alan will spend at most $30 on gifts. So far, he has spent $19. What are the possible additional amounts he will spend?

Answers

Answer:

$11

Step-by-step explanation:

This is because If you subtract 19 from 30 your answer will be 19.

3/2 (7/3x+1) = 3/2

Show work. (simple if possible)

Giving Brainliest.

Answers

Answer:

[tex]7/2x + 3/2 = 3/2 <=> x = 0[/tex]

Step-by-step explanation:

2 - 2x 4x + 12
------- = ---------
4 3

Answers

[tex]\tt\frac { 2 - 2 x } { 4 } = \frac { 4 x + 12 } { 3 }[/tex]

[tex]\tt3\left(2-2x\right)=4\left(4x+12\right) [/tex]

[tex]\tt6-6x=16x+48 [/tex]

[tex]\tt6-6x-16x=48 [/tex]

[tex]\tt6-22x=48 [/tex]

[tex]\tt-22x=42 [/tex]

[tex]\tt\:x=\frac{42}{-22} [/tex]

[tex]\boxed{\tt\:x = -\frac{21}{11} = -1\frac{10}{11} \approx -1.90}[/tex]

Method used :-

◇ ✖ Cross multiplication ❌

________

Hope it helps ⚜

Step-by-step explanation:

Given equation is [{(2-2x)/4} = {(4x+12)/3]

On applying cross multiplication then

Since, (a/b) = (c/d)

⇛ab = bc

Where, a = (2-2x), b = (4), c = (4x+12) and d = (3).

Now,

⇛3(2-2x) = 4(4x+12)

Multiply the number outside the bracket with numbers and variables in the bracket.

⇛6 - 6x = 16x + 48

Shift the variable value on LHS and constant on RHS.

⇛-6x - 16x = 48-6

Subtract the values on LHS and RHS.

⇛-22x = 42

Shift the value (-22) from LHS to RHS.

⇛x = 42/-22

Write the obtained answer in lowest form by cancelling method.

⇛x = (42÷2)/(-22÷2)

Therefore, x = 21/-11 = -(21/11)

Answer: Hence the value of x for the given problem is -21/11.

VERIFICATION:

If x = -21/11 then the equation is

[{(2-2x)/4} = {(4x+12)/3]

Substitute the value x = -21/11 in expression, then

⇛[{2-2(-21/11)}/4 = {4(-21/11)+12}/3]

Multiply (-2) from (-21) to get 42 on LHS.

⇛[{2(42/11)}/4 = {4(-21/11)+12}/3]

Again multiply 4 from (-21) to get 81 on RHS.

⇛[{2(42/11)}/4 = {(-81/11) + 12}/3]

Take the LCM of the denominator 1 and 11 is 11 on LHS

⇛[{(2*11 + 42*1)/11}/4 = {(-81*1 + 12*11)/11}/3]

Multiply the numerator on both LHS and RHS.

⇛[{(22+42)/11}/4 = {(-81 + 132)/11}/3]

Add the numerator numbers on both LHS and RHS

⇛[{(64/11)}/4 = [{(48/11)}/3]

Now, conver the division fraction in multiply fraction on both LHS and RHS.

⇛[{(64/11) * 4} = {(48/11) * 3}]

Now, write the numbers in Lower form by cancelling method, on both LHS and RHS.

⇛(16/11) = (16/11)

LHS = RHS

Please let me know if you have any other questions.

If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?


Write answer as a integer or a reduced fraction.

Answers

Step-by-step explanation:

Given:

6 miles ⇒ 101 minutesx miles ⇒ 110 minutes

Find the values of x using proportions:

x = 6*110/101x = 660/101x = 6 54/101 miles

or

x = 6.53 miles
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