Difference of complex number (-2+5i)-(9+3i)

Answer:

A= 5.89

b = 6

c= 5.21

d= -5

Answer:

The first one dividing the number by 100

Step-by-step explanation:

Answer:

45.58ft2

Step-by-step explanation:

SA= bottom triangle + 3 top triangles

Answer:

45.58ft2

Step-by-step explanation:

SA= bottom triangle + 3 top triangles

Answer:

I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Answer:

A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.

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Sorry For The Smol Brain Question..............

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

Step-by-step explanation:

In the 1st question

Total boxes = 6

Shaded boxes = 2

Probability = 2/6 = 1/3

Answer:

1. (B)P(x) = -3(x-4)(x - 140)

2. $140

Step-by-step explanation:

(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of  zero without changing the form of the expression is:

P(x) = -3(x-4)(x - 140)

This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.

(2)When the profit, P(x)=0, then using the expression above we have:

[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]

A price of $4 or $140 as the case may be gives a profit of zero.

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Answer:

B

Step-by-step explanation:

Answer:

i think B

Step-by-step explanation:

Answer:

y=-x-4

Step-by-step explanation:

Find the gradient then use the formula, y-y1 = m(x-x1) to find the equation.

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

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Answer:

106

Step-by-step explanation:

4 × ( 3 4 − 1 2 ) + 3 × 6

PEMDAS

Parentheses first

4 × ( 22 ) + 3 × 6

Multiply next

88 +18

Add

106

Answer:

the answer is: A. 19

Step-by-step explanation:

I think he or she was trying his or her best or they might not understand favorite and rate for them

Answer:

22

Step-by-step explanation:

4x(3-2)+18

4x(1)+18

4+18

22

4x+18

Answer:

22

Step-by-step explanation:

4 x (3-2) + 18

PEMDAS says parentheses first

4 x (1) + 18

Then multiply and divide

4 +18

Then add and subtract

22

Answer:

A. $17.50                      

Explanation:

It's been 1-2 years since I've done a problem like this.

Tell me if I got it wrong and sorry if I did.

Answer:

[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]

Step-by-step explanation:

To answer this question, you can use a number pattern that is well-known in algebra & higher mathematics called Pascal's Triangle. However, for simplification reasons, I will use the Binomial Theorem as it is quite difficult to create Pascal's Triangle without just attaching an image. A binomial is any two-term expression that are not like terms (for instance, both are integers that lack a variable).

After constructing Pascal's Triangle, you can use this method to expand a binomial. To do this, it will require a lot of patience and a lot of space.

Using Pascal's Triangle, we can expand the binomial entirely by referencing the exponents given and the coefficients that we have now solved for using Pascal's Triangle.

Referring to the seventh exponent row of the triangle, we can expand the binomial using a formula referred to as the Binomial Theorem.

The binomial theorem states that:

[tex]\large\boxed{(a+b)^{n}=\sum_{k=0}^{n} \binom{n}{k}a^{n-k}b^{k}, \textsf{where} \binom{n}{k}=\frac{n!}{(n-k)!k!} \textsf {\: and \:} n! = 1 * 2 * 3... \textsf{n}}[/tex]

Therefore, we can use this information to begin defining values and expanding the binomial.

We are given an a, b, and n value. These are defined as a = 2y, b = x, and n = 7.

Therefore, [tex](x + 2y)^{7}=\sum_{k=0}^{7} \binom{7}{k}(2y)^{7-k}(x)^{k}[/tex].

Using this information, you can then solve for every k-value. This will be slightly extensive. To solve for each k-value, ignore the summation sign and everything before it. You only need the information that follows the summation sign: [tex]\binom{7}{k}(2y)^{7-k}(x)^{k}[/tex]. This will then extend and allow you to only use the portions of the equation that require factorials.

Be sure that when you get a final answer that you always apply the exponent (k) to the final result.

k = 0

[tex]\binom{7}{0}(2y)^{7-0}(x)^0 = \frac{7!}{(7-0)!0!}(2y)^{7}(x)^{0}\\[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(7*6*5*4*3*2*1)}(2y)^{7}(x)^{0}[/tex]

[tex]1(2y)^{7} = 2y^7=(2y*2y*2y*2y*2y*2y*2y)= 128y^7[/tex]

[tex]\boxed{128y^7}[/tex]

k = 1

[tex]\binom{7}{1}(2y)^{7-1}(x)^{1}=\frac{7!}{(7-1)!1!}(2y)^{6}(x)^1[/tex]

[tex]\frac{7*6*5*4*3*2*1}{6*5*4*3*2*1} (2y)^{6}(x)^{1}[/tex]

[tex]7(2y)^{6}(x)^{1}=448xy^6[/tex]

[tex]\boxed{448xy^6}[/tex]

k = 2

[tex]\binom{7}{2}(2y)^{7-2}(x)^{2}=\frac{7!}{(7-2)!2!}(2y)^{5}(x)^2[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(5*4*3*2*1)(2*1)}(2y)^{5}(x)^2[/tex]

[tex]\frac{42}{2}(2y)^{5}(x)^2[/tex]

[tex]21(2y)^{5}(x)^{2}=672x^2y^5[/tex]

[tex]\boxed{672x^2y^5}[/tex]

k = 3

[tex]\binom{7}{3}(2y)^{7-3}(x)^3=\frac{7!}{(7-3)!3!}(2y)^{4}(x)^{3}[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(4*3*2*1)(3*2*1)}(2y)^4(x)^3[/tex]

[tex]\frac{210}{6}(2y)^4(x)^3[/tex]

[tex]35(2y)^4(x)^3=560x^3y^4[/tex]

[tex]\boxed{560x^3y^4}[/tex]

k = 4

[tex]\binom{7}{4}(2y)^{7-4}(x)^4 = \frac{7!}{(7-4)!4!}(2y)^3(x)^4[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(3*2*1)(4*3*2*1)}(2y)^3(x)^4[/tex]

[tex]\frac{840}{24}(2y)^3(x)^4[/tex]

[tex]35(2y)^3(x)^4=280x^4y^3[/tex]

[tex]\boxed{280x^4y^3}[/tex]

k = 5

[tex]\binom{7}{5}(2y)^{7-5}(x)^5=\frac{7!}{(7-5)!5!}(2y)^2(x)^5[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(2*1)(5*4*3*2*1)}(2y)^2(x)^5[/tex]

[tex]\frac{2520}{120}(2y)^2(x)^5[/tex]

[tex]21(2y)^2(x)^5 = 84x^5y^2[/tex]

[tex]\boxed{84x^5y^2}[/tex]

k = 6

[tex]\binom{7}{6}(2y)^{7-6}(x)^6=\frac{7!}{(7-5)!6!}(2y)^1(x)^6[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(1)(6*5*4*3*2*1)}(2y)^1(x)^6[/tex]

[tex]\frac{5040}{720}(2y)^1(x)^6[/tex]

[tex]7(2y)^1(x)^6=14x^6y[/tex]

[tex]\boxed{14x^6y}[/tex]

k = 7

[tex]\binom{7}{7}(2y)^{7-7}(x)^7=\frac{7!}{(7-6)(7!)}(2y)^0(x)^7[/tex]

[tex]\frac{7*6*5*4*3*2*1}{(1)(7*6*5*4*3*2*1)}(2y)^0(x)^7[/tex]

[tex]\frac{5040}{5040}(2y)^0(x)^7[/tex]

[tex]1(2y)^0(x)^7=x^7[/tex]

[tex]\boxed{x^7}[/tex]

Now, we have to take a look at the original binomial and discover whether or not we are to add or subtract these terms together. The original binomial was [tex](x+2y)^7[/tex], so we will add (that is the operation of the binomial).

Therefore, we will add all of the terms that we started with following algebraic notation (that is, alphabetically and highest exponent to lowest exponent).

[tex]\boxed{x^7+14x^6y+84x^5y^2+280x^4y^3+560x^3y^4+672x^2y^5+448xy^6+128y^7}[/tex]

This is the final expanded binomial (now a polynomial).

Answer:

b

Step-by-step explanation:

Answer:

I don't get your question but if you are asking. How long is 1 hour and a half?

The answer for this question is 15 minutes.

Step-by-step explanation:

How long is 1 hour and a half?

15 minute is the right answer

Answer:

Naomi used 15 red tiles in her design.

Step-by-step explanation:

We need to add the total number of tiles that we know to find out the unknown value of red tiles. The blue tiles make up 1/2 of the design, or 50 tiles. Next we will add the green tiles, which Naomi used  15 of, as stated.

So far, we have figured out how many blue and green tiles we have. (50 blue, and 15 green, which is a total of 65).

Now we need to calculate the number of yellow tiles, which equal 1/5 of the design. 1/5 of 100 is 20.

Now we add all of our tiles that we already know. We have 50 red + 15 green + 20 yellow which = 85.

Now to find the unknown value of red tiles, we subtract our 85 other tiles from the 100 total tiles, and the ends us up with 15 red tiles.

Hope this helps!!

stay safe  :0)

Answer: 4/3 π 6³

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere: 4/3 π r³

Replacing with the values given:

V = 4/3 π 6³

If we solve the expression:

V = 4.18 (6)^3

V = 904.77 cubic units

Feel free to ask for more if needed or if you did not understand something.

Answer:

5

Step-by-step explanation:

(3+15+21+13)/4 = 13

13 - 3 = 10

15 - 13 = 2

21 - 13 = 8

13 - 13 = 0

(10+2+8+0)/4 = 5

the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The algebraic expression represents the phrase:

“seven more than half of a number”

As we know, expression can be defined as the combination of constants and variables with mathematical operators.

Let y be the number:

y = 7 + (1/2)x

The above equation represents the linear equation.

Thus, the expression is 7 + (1/2)x which represents the phrase “seven more than half of a number option (C) is correct.

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The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability:

P(Math/Music') = P(Math∩Musci')/P(Music')

Total number of sample = 22+80+45+38 = 185

Probability of liking math:

P(Math) = (22+80)/185 =0.55

Probability:

P(Music) = (45+80)/185 = 0.68

P(Music') = 1-0.68 = 0.32

Probability of liking math and liking music:

P(Math∩Music) = 80/185 = 0.43

Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37

Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

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Answer:

-7.5

Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

-2b - 5 = 10

-2b = 15

b = -7.5

Answer:

-7.5

Step-by-step explanation:

-4*- 7.5 =30

2*-7.5=   -15

30-5-15=10

Answer:

A free throw is more likely

First: 0.345

Second: 60%

Step-by-step explanation:

For placement:

0.345 would be behind 0.5

And

60% would be ahead of 0.5

60% = 0.6

0.345 < 0.6

Answer:

A free throw

Step-by-step explanation:

If Lily only has $500 to buy a smartphone, for him to get a good deal, he can decide to do the following:

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Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

Answer:x=57

Step-by-step explanation:

Answer:

30.5

Step-by-step explanation:

Measure of angle A and B equals 110 because of how triangles work

Therefore 3x + x + 4 = 110

4x + 4 = 110

Subtract 4 from each side

4x = 106

Divide both sides by 4

x = 26.5

Measure of angle ABC equals 26.5 + 4 = 30.5

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

Answer: 20 containers

We can't really see question 3.