Write(3-7i)-(-11+5i) as a complex number in standard form

Answer:

D) They are opposite and parallel.

Step-by-step explanation:

Given:

There are two vectors "a" and "b" have opposite directions having the same magnitude of 7.

If the two vectors "a" and "b" have opposite directions mean one moves right and other moves left.

Which means they are opposite.

Here they have a same magnitude of 7. So they are parallel.

Therefore, the answer is D) They are opposite and parallel.

Hello There!

Definition Is In Image Attached

Answer:

ex·po·nen·tial growth

noun

growth whose rate becomes ever more rapid in proportion to the growing total number or size.

"the exponential growth of the world's population"

Step-by-step explanation:

Answer:

14.10

Step-by-step explanation:

Quarters are worth .25 of a dollar

40 *.25 = 10

Dimes are worth .10 of a dollar

30 *.10 = 3

Nickels are worth .05 of a dollar

20 *.05 = 1

Pennies are worth .01 of a dollar

10 *.01 = .1

Add this together

10+3+1+.1

14.10

Answer:

Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex] ⇒ 3rd answer

Step-by-step explanation:

Lets revise the Cramer's rule

- If the system of equation is ax + by = c and dx + ey = f

- A is the matrix represent this system of equation

- The first column has the coefficients of x, and

  the second column has the coefficients of y

∴ A = [tex]\left[\begin{array}{cc}a&b\\d&e\end{array}\right][/tex]

- Ax means replace the column of x by the answers of the equation

∴ Ax = [tex]\left[\begin{array}{cc}c&b\\f&e\end{array}\right][/tex]

- Ay means replace the column of y by the answers of the equation

∴ Ay = [tex]\left[\begin{array}{cc}a&c\\d&f\end{array}\right][/tex]

* Now lets solve the problem

∵ 4x - y = -3 and -2x + y = 5

∴ A = [tex]\left[\begin{array}{cc}4&-1\\-2&1\end{array}\right][/tex]

- Replace the column of x by the answer to get Ax

∴ Ax = [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]

* Ax in the system of equation is [tex]\left[\begin{array}{cc}-3&-1\\5&1\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

Edge2021

Answer:

A and C

Step-by-step explanation:

Vertical angles are angles formed by 2 lines. Those angles are right across from each other.

Answer:

a and c

Step-by-step explanation:

Vertical angles are angles formed by 2 lines. Those angles are right across from each other.

Answer:

B.

Step-by-step explanation:

I plugged it into a graphing calculator which got me this.

Answer:

  -2

Step-by-step explanation:

A common ratio can be found by dividing any term by the one before it in the sequence:

  -4/2 = 8/-4 = -16/8 = 32/-16 = -64/32 = -2

The common ratio is -2.

Answer:

-2

Step-by-step explanation:

The a answer is 8-13i

For one; Your answer doesn't help those who are on apex. Also doesn't appear to be any of the answer choices,

The answer I got from apex, is;

63+22i.

           Hope this helps  :)

The length is 8.hope this helps.if it does

Please mark brainliest

Given a rectangle with a perimeter of 24 ft where the length is 4 ft longer than the width, we find that the length is 8 ft and the width is 4 ft by setting up and solving an equation based on the formula for the perimeter of a rectangle.

The subject of this question is about finding the length and width of a rectangle given the perimeter and a relationship between the length and width. The formula for the perimeter of a rectangle is 2 * (length + width). If a rectangle has a perimeter of 24 ft, and the length is 4 ft longer than the width, we can add the length and width together and multiply by 2 to calculate the perimeter.

Let's call the width 'w'. Then the length will be 'w + 4'. From the information given, we have:

Therefore, the width of the rectangle is 4 ft. This means that the length, which is 4 ft longer than the width, is 4 + 4 = 8 ft. So the length of the rectangle is 8 ft.

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Answer:

346 square inches

Step-by-step explanation:

Let's say you have a piece of paper that measures 2.3 inches by 2 inches.the area is 4.6 square inches. The closest whole number is 5, so rounded to the nearest square inch is 5 square inches. Fractions equal to half or greater get rounded up to the next whole number. Fractions less than half get rounded down. SO that means that 346.49 should be rounded down to just 346 although it may be almost 50.

Answer:

5.5

Step-by-step explanation:

Of means multiply

13.75 * 2/5

27.5/5

5.5

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

[tex]\text{When you come across the word of in mathematics (high learning math at that)}[/tex][tex]\text{, it means to multiply.}[/tex]

[tex]\text{So, your new equation becomes: 13.75}\times\frac{2}{5}\text{multiply those two}[/tex] [tex]\text{numbers.}[/tex]

[tex]\text{The formula to solving for these times of equation is:\ }\frac{b\times c}{d}[/tex]

[tex]\text{So,}\frac{2 \times13.5}{5}[/tex]

[tex]2\times 13.75=27.5[/tex]

[tex]\frac{27.5}{5}=27.5\div5=5.5[/tex]

[tex]\boxed{\boxed{\text{Answer: 5.5}}}\checkmark[/tex]

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

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

Answer:

$5

Step-by-step explanation:

Given in the question a graph,

We have clearly see that graph can be divided into 3 parts.

Part 1

we can see that $5 will be charged for the package which weight is 3 Ibs or less than 3 Ibs.

Part 2

we can see that $10 will be charged for the package which weight 6 Ibs or than less 6 but greater than 3 Ibs

Part 3

We can see that after 6kg the cost is linear to the weight of the package.

x 1 2 3 4 5

y 6 0 -4 0 18

Answer:

  4 -i

Step-by-step explanation:

For your condition to be met, neither the real part nor the imaginary part can exceed √17 in magnitude. That excludes the first three answer choices.

The magnitude of 4-i is ...

  √(4^2 +(-1)^2) = √17.

Answer:

Step-by-step explanation:

First, we need to know that a complex number, which has a real part and an imaginary part, it's like a vector, where the horizontal coordinate is the real part, and the vertical coordinate is the imaginary part.

So, to find the distances we applied the conventional definition:

[tex]d=\sqrt{r^{2}+i^{2} }[/tex]

Where [tex]r[/tex] refers to the real part and [tex]i[/tex] refers to the imaginary part.

So, we test each answer and see which one gives us the root of 17.

[tex]d=\sqrt{2^{2}+15^{2} }=\sqrt{4+225}=\sqrt{229}[/tex]

[tex]d=\sqrt{17^{2}+1^{2} }=\sqrt{290}[/tex]

[tex]d=\sqrt{20^{2}+(-3)^{2} }=\sqrt{409}[/tex]

[tex]d=\sqrt{4^{2}+(-1)^{2} }=\sqrt{17}[/tex]

Therefore, the right answer is the last one, because the distance is the squared root of 17.

Final answer:

To find 65% of a number, use the equation 0.65x = 32.5 and solve for x by dividing both sides by 0.65 to get x = 50.

Explanation:

Sixty-five percent of what number is 32.5?

Let's denote the unknown number as x.

Translate the given information into an equation: 0.65x = 32.5

To solve for x, divide both sides by 0.65 giving x = 32.5 / 0.65 = 50.

Answer: so the red dots are incorrect

the green ones are correct

the yellow ones are also correct (that i missed)

Step-by-step explanation:

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. The scatter plot of the given data can be made as shown below.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Let the x-axis represent the number of fruit servings, while the y-axis represents the number of vegetable servings. Therefore, The scatter plot of the given data can be made as shown below.

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The algebraic expression that expresses how long Julie studied is: 2x.

Algebraic expression can be described as a mathematical statement that uses variables and digits, as well as operation signs.

Number of hours Jake studied = x

Julie studied twice as long as x

Thus, algebraic expression for how long Julie studied would be: 2x.

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If Jake's study time can be represented as 'x', then, given that Julie studied twice as long as Jake, her study time can be represented as '2x'. This is because she studied twice the amount of time that Jake did.

The question describes a relationship between the amount of time Jake studied and the amount of time Julie studied. We know from the question that Julie studied twice as long as Jake did. In mathematical terms, we would represent Jake's studying time as x hours, since we don't have a specified amount. Therefore, because Julie studied twice as long as Jake did, we can represent Julie's studying time as 2x.

Hence, "the algebraic expression for the number of hours that Julie studied is 2x".

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Answer:

31

Step-by-step explanation:

CPCTC and Parallel concurrency theorem

Answer:

None of the above

Step-by-step explanation:

A is the closest but it should be 2 and -3

For this case we have the following quadratic function:

[tex]f (x) = x ^ 2 + x-6[/tex]

We must find its roots. We can factor, looking for two numbers that when added to +1 and multiplied by -6. These are:

+3 and -2

[tex]+ 3-2 = 1\\(+3) * (- 2) = - 6[/tex]

Then, the factored form is:

[tex](x + 3) (x-2) = 0[/tex]

So, the roots are:

[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]

Answer:

[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]

Answer:

- 494

Step-by-step explanation:

Breaking down the summation into it;s component parts

= 4k - [tex]\frac{3}{2}[/tex] k(k + 1) ← substitute k = 19

= (4 × 19 ) - 1.5 × (19 × 20)

= 76 - (1.5 × 380)

= 76 - 570

= 494

The value of the arithmetic series below is - 494

We have

To break down the summation into its component parts

[tex]S_{19}= 4k - \frac{3}{2} k(k + 1)[/tex]

[tex]= 4k - \frac{3}{2} k(k + 1) .... substitute\ k = 19[/tex]

[tex]= (4 \times 19 ) - 1.5 \times (19 \times 20)[/tex]

[tex]= 76 - (1.5 \times 380)[/tex]

[tex]=76-570[/tex]

= -494

The value of the arithmetic series below is 494.

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Answer:

stay focused on a single topic until u understand that topic well .. use sticky notes to make short notes and clue to make it easier .. when u have test u can use the sticky notes to make ur own answer .. instead of writing the same words in test use ur pwn wordsband create a short one. make a timetable for each subject everyday at least 1 - 2 hrs ..

You read a steam and leaf plot in this way: the first column is the first digit of the score, and we're grouping scores by their first digits.

So, for example, if we read the row starting with 5, we deduce that there have been three scores in the 50's, namely two 57 and one 58.

To answer the question, we have to count how many occurrences we have in the row of the 70's and higher.

We have 4 scores in the 70's: 70, 70, 71, 78

We have 4 scores in the 80's: 82, 84, 87, 88

We have 3 scores in the 90's: 91, 93, 97

We have 2 perfect scores of 100.

These are all the scores of 70 or above.

I think it’s a pyramid

If the denominator is 0, and the numerator ≠ 0, your answer will undefined.

If the numerator is 0, and the denominator is a number, it will always = 0.

So you can set the denominator equal to 0

x + 2 = 0       Find x, so subtract 2 on both sides

x = -2

Answer:

The area of the table is [tex]1,008\ in^{2}[/tex]

Step-by-step explanation:

Let

x----> the length of the rectangular table

y---> the width of the rectangular table

we know that

The perimeter is equal to

[tex]P=2(x+y)[/tex]

[tex]P=132\ in[/tex]

so

[tex]132=2(x+y)[/tex]

[tex]66=x+y[/tex] ------> equation A

[tex]x=1\frac{3}{4}y[/tex]

[tex]x=\frac{1*4+3}{4}y[/tex]

[tex]x=\frac{7}{4}y[/tex] ---> equation B

substitute equation B in equation A and solve for y

[tex]66=\frac{7}{4}y+y[/tex]

[tex]66=\frac{11}{4}y[/tex]

[tex]y=66*4/11=24\ in[/tex]

Find the value of x

[tex]x=\frac{7}{4}(24)=42\ in[/tex]

Find the area of the table

The area is equal to

[tex]A=xy=(42)(24)=1,008\ in^{2}[/tex]

The cost of 1 pound of cashew nuts would be 4 dollars.

You divide 32 by 8

To convert to hours, we should do 1683/60 because one hour is 60 minutes

1683/60=28 3/60

28 3/60= 28 1/20

Answer: 28 1/20

The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Mr. Thompson cut the grass on the golf course in 1683 minutes.

We know that in one hour, there are 60 minutes. Then the number of hours that it takes to cut the grass will be given as,

⇒ 1683 / 60

⇒ 28 + 1/20

⇒ 28 ¹/₂₀ hours

The number of hours that it takes to cut the grass will be 28 ¹/₂₀ hours.

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Answer:

[tex]\$94.29[/tex]  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

[tex]V=P(1-r)^{x}[/tex]  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

[tex]P=\$250\\r=15\%=0.15\\x=6\ years[/tex]

[tex]V=\$250(1-0.15)^{6}[/tex]  

[tex]V=\$250(0.85)^{6}=\$94.29[/tex]  

Answer:

94.29

Step-by-step explanation:

we know that

The formula to calculate the depreciated value is equal to

where

V is the depreciated value

P is the original value

r is the rate of depreciation in decimal

x is Number of Time Periods

in this problem we have

Answer:

x(x + 8)(x - 8)

Step-by-step explanation:

Given

x³ - 64x ← factor out x from each term

= x(x² - 64) ← x² - 64 is a difference of squares

= x(x + 8)(x - 8) ← in factored form

Answer:

Correct choice is C. 2 mL.

Step-by-step explanation:

Given that Ampicillin 250 mg IM every 12 hours is ordered. After reconstitution, there's 125 mg/mL. Now we need to find about how many mL would you give.

Let number of ml needed = x.

Since ratio of mg per mL will be fixed so we get equation:

[tex]\frac{mL}{mg}=\frac{x}{250}=\frac{1}{125}[/tex]

[tex]\frac{x}{250}=\frac{1}{125}[/tex]

[tex]x=\frac{1}{125} \times 250[/tex]

[tex]x=\frac{250}{125}[/tex]

[tex]x=2[/tex]

Hence correct choice is C. 2 mL.

Final answer:

To calculate the volume of ampicillin to be given, divide the ordered dose by the concentration of the solution. For a dose of 250 mg and a concentration of 125 mg/mL, the volume to administer is 2 mL. The correct option is: 2ml.

Explanation:

The question is asking us to calculate the volume of ampicillin required for one dose when it has been reconstituted to a concentration of 125 mg/mL, and the ordered dose is 250 mg given intramuscularly (IM) every 12 hours. To find out how many mL of the ampicillin solution should be administered in one dose, we use the formula:

Dose ordered / Concentration of solution = Volume to administer

In this case:

250 mg (Dose ordered) / 125 mg/mL (Concentration) = 2 mL

Therefore, you would administer 2 mL of the reconstituted ampicillin solution.