What is the value of (–3 + 3i) + (–2 + 3i)? –5 – 6i –5 + 6i 5 + 6i 5 – 6i

Answer:

197

Step-by-step explanation:

Add the number of voters of each precinct and divide by the number of precincts.

(168 + 240 + 195 + 180 + 312 + 87)/6 =

= 1182/6

= 197

(168+240+195+180+312+87)/6 =197

Answer:

x=−2.1875y+ −3/ 8

Step-by-step explanation:

Y = 6

X = -.75 or - 3/4

Solve the bottom equation first, since it only has 1 variable. -8.5y / -8.5 = -51/-8.5. Y= 6. Then plug that value for Y into the top equation and solve for X.

Answer:

362880

Step-by-step explanation:

9! is read as 9 factorial.

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 362880

Answer:

362,880

9! is also know as 9x all the numbers lower then it, so it would be 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1.

If you multiply all of those digits together, your result would be 362,880.

Answer

2(3)=6 + 2 = 8

The value of x will be;

⇒ x = 8

What is an expression?

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

Given that;

C = 3 and d = 2,

And, The equation is,

⇒ x = 2C + d

Here,

The values are,

⇒ C = 3 and d = 2,

Substitute above value in equation , we get;

⇒ x = 2C + d

⇒ x = 2 × 3 + 2

⇒ x = 6 + 2

⇒ x = 8

Thus, The value of x = 8.

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Answer:

D

Step-by-step explanation:

I just took the test on E2020

Answer:

Option D. $119.25

Step-by-step explanation:

Today's stock listing for Parchar Special Effects shown below.

52 wk high  =  160.44

52 wk low   =   81.91

Symbol        =  PCR

Div.              = 7.55

Close           =  114.36

Net change = -4.89

Based on this information today's close is $114.36 and Net change is -4.89. It means the value of yesterday was 4.89 more than today's close.

Therefore, yesterday's price = 114.36 + 4.89 = $119.25

Yesterday's price was $119.25.

Answer:

30%

Step-by-step explanation:

1) Find the amount of time left to complete

60 minutes total - 42 minutes already played = 18 minutes left

2) Divide the amount of minutes left by the total minutes

18 minutes left ÷ 60 minutes total = 0.3

3) Multiply that value by 100 to turn the decimal into a percent

0.3 * 100 = 30%

Answer:

30%

Step-by-step explanation:

The answer is thirty percent. One way to solve this problem is to start by finding what percent of Vanessa’s practice time forty-two minutes represents.

Let p represent the unknown percent, and set up a proportion that compares the like ratios of parts to wholes.

Divide out the like minutes and cross multiply.

Divide both sides by sixty to solve for the percent of time Vanessa has already practiced.

Subtract seventy percent from one hundred percent to determine the percent of time she has left to practice.

Vanessa still has thirty percent of her practice time to complete.

The z-score formula is:

x - mean / standard deviation

x = her height.

Z-score = (50 - 49) / 2

z-score = 1/2 = 0.5

Answer:

2x^9

Step-by-step explanation:

∛8x^27

=∛(2x^9)^3

= 2x^9

Cube root of 8x^27 = 512.

In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots.

∛8x^27

=∛(2x^9)^3

= 2x^9

= 512.

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Answer:

the function is EVEN because f(x)= f(-x)

Step-by-step explanation:

Key to find if a function f(x) is even or odd is to replace the x with -x

if the results comes out to be f(x) then it is even function

if the results comes out to be -f(x) then it is odd function

where as graphically even f(x) will be symmetric around the y-axis and odd f(x) will be symmetric around the origin.

In given case f(x)=7

if we replace x with -x in above equation then results is 7

f(-x)= 7

hence f(x)= f(-x) = 7

!

Answer:

The answer is C

Step-by-step explanation:

the person that made the graph is correct so it would be C

Answer:

[tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

Step-by-step explanation:

Given function is [tex]f\left(x\right)=-2\sqrt{x-3}+8[/tex].

Now let's find it's range.

we know that square root function always gives positive output then:

[tex]\sqrt{x-3}\ge0[/tex]

[tex]-2\sqrt{x-3}\le-2\left(0\right)[/tex]

[tex]-2\sqrt{x-3}\le0[/tex]

[tex]-2\sqrt{x-3}+8\le0+8[/tex]

[tex]-2\sqrt{x-3}+8\le 8[/tex]

[tex]f(x) \le 8[/tex]

Hence range of the function is [tex](-\infty,8][/tex].

we can repeat same process to find the range of all the given choices.

we will find that only 3rd choice has same range.

Hence final answer is [tex]g\left(x\right)=-\sqrt{x+3}+8[/tex]

Rise is the change between the y-coordinates of any two points along a line in the xy-plane. True or False

The rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

In a graph, the terms "rise" and "run" refer to the vertical and horizontal changes between two points on a line, respectively.

Here,
The rise of a line in the xy-plane is the vertical change between two points on the line, which is measured as the difference between their y-coordinates. The rise is sometimes also called the vertical distance or the vertical change.

Thus, the rise is the change between the y-coordinates of any two points along a line in the xy-plane is true.

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Answer:

The correct option is B. The length of OB' is 3 units.

Step-by-step explanation:

The rule of dilation is D₀,₄. It means dilation by scale factor 4 with center of dilation is origin.

[tex]\text{Scale factor}=\frac{\text{Distance between center and any point of the image}}{\text{Distance between center and corresponding point of the Preimage}}[/tex]

[tex]\text{Scale factor}=\frac{OB'}{OB}[/tex]

[tex]4=\frac{OB'}{\frac{3}{4}}[/tex]

[tex]4\times \frac{3}{4}=OB'[/tex]

[tex]3=OB'[/tex]

The length of OB' is 3 units. Therefore the correct option is option is B.

Answer:

B on edge

Step-by-step explanation:

the answer to the problem would be c

ANSWER

The correct choice is C.

EXPLANATION

We know that:

[tex] \sqrt[3]{7} = {7}^{ \frac{1}{3} } [/tex]

We want to simplify:

[tex]( { {7}^{ \frac{1}{3} } )}^{3} [/tex]

The exponent here is 3. This means that the base must multiply itself 3 times.

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } \times {7}^{ \frac{1}{3} } [/tex]

Recall that:

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

This implies that,

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{1}{3} + \frac{1}{3} + \frac{1}{3} } [/tex]

Simplify:

[tex] ( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ \frac{3}{3}} [/tex]

[tex]( { {7}^{ \frac{1}{3} } )}^{3} = {7}^{ 1} = 7[/tex]

The correct choice is C

Answer:

3a. horizontal shift to the left 4 units, reflection on the x-axis

3b. vertical shift down 5 units

4. 4[tex]\sqrt{3}[/tex]

5. 3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{35} }{5}[/tex]

7. [tex]\frac{45-5\sqrt{7} }{74}[/tex]

8. 3√2

9. -2√7 + 5√13

10. 7√2 + 2√14

11. 10 + √15 + 2√35 + √21

12. P = 18√6 + 6√15

Step-by-step explanation:

this is gonna be a bit long but bare with me

3a. y = [tex]-\sqrt{x+4}[/tex] < -- this is a horizontal shift to the left 4 units and a reflection on the x-axis. a horizontal shift is located next to the parent function (in this case f(x) = √x). a reflection on the x-axis is located outside of the parent function.

3b. y = [tex]\sqrt{x}[/tex] - 5 < --- this is a vertical shift down 5 units. a vertical shift is located outside of the parent function

4. [tex]\sqrt{48}[/tex] to solve a radicand, we can break it up into known factors, such as numbers that are a perfect square that are factors of the number. you can create a factor tree for this, or you can do it mentally by thinking of terms.

48 can be divided by divided by 16 and 3

16 is a perfect square of 4, which goes outside of the radicand

the answer to [tex]\sqrt{48}[/tex] is 4[tex]\sqrt{3}[/tex]

5. again, to solve [tex]\sqrt{18x^5y^4}[/tex], we break it down into known factors.

lets start with 18: it can be broken down into 9 and 2, 9 is a perfect square of 3

so far the radicand looks like this: 3[tex]\sqrt{2x^5y^4}[/tex]

next we will break down [tex]x^5[/tex]. looking at the exponent, we can see that we have a perfect square in the exponent, which is 4. the square root of 4 is 2. we would leave the leftover x in the radical as it is not a perfect square, and put x² on the outside as it is a result of the perfect square

3x²[tex]\sqrt{2xy^4}[/tex]

finally lets look at [tex]y^4[/tex]. we see that the exponent is a perfect square, 4. the square root of 4 is 2, so y² would go on the outside, and no y terms would be left on the inside. the final radical looks like this:

3x²y²[tex]\sqrt{2x}[/tex]

6. [tex]\frac{4\sqrt{7} }{\sqrt{5} }[/tex]

to solve this, we would need to rationalize the denominator by getting rid of the radical in the denominator. to do this we would multiply the expression by [tex]\sqrt{5}[/tex] and we would get:

[tex]\frac{4\sqrt{35} }{5}[/tex]

we cannot simplify this any further, so this would be our answer

7.  [tex]\frac{5}{9 + \sqrt{7} }[/tex] like the last question, we need to get rid of the square root in the denominator by multiplying the entire expression by [tex]9 - \sqrt{7}[/tex]. we get:

[tex]\frac{5(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7})  }[/tex]

the denominator can be multiplied together to get 81 - 7 = 74, and in the numerator we get 5(9-√7) which can be distributed as 45 - 5√7. in total we get:

[tex]\frac{45-5\sqrt{7} }{74}[/tex] this cannot be simplified any further, so this is the answer

8. 3√50 - 3√32 to solve, we need to get the same radical. to do this, we can break each radical up into known terms. √50 can be simplified as 25 and 2. 25 is a perfect square, and is equal to 5. √50 = 5√2

3(5√2) = 15√2

we can break up √32 as 16 and 2. 16 is a perfect square which is equal to 4. √32 = 4√2

-3(4√2) = -12√2

the expression looks like this: 15√2 - 12√2 < subtract normally and we get 3√2 <-- this is our final answer, and we cannot simplify further

9. 2√7 - 4√13 -4√7 + 9√13 < we can combine like terms by adding/subtracting

2√7 -4√7 = -2√7

-4√13 + 9√13 = 5√13

-2√7 + 5√13 this cannot be simplified further, so this is the answer

10. √7(√14 + 2√2) < distribute √7 into the expression

√7 × √14 = √98 = 7√2

√7 × 2√2 = 2√14

the answer is 7√2 + 2√14

11. (√5 + √7)(√20 + √3) < to solve, we can FOIL this out

(√5 + √7)(√20 + √3) = 10

(√5 + √7)(√20 + √3) = √15

(√5 + √7)(√20 + √3) = 2√35

(√5 + √7)(√20 + √3) = √21

we get the following expression: 10 + √15 + 2√35 + √21, we cannot simplify this further so this is our answer

12. the perimeter of a rectangle is P = 2l + 2w. we are given the width 3√6 + 4√15 and the length 6√6 - √15. plugged into the formula we have:

2(3√6 + 4√15) + 2(6√6 - √15) < distribute 2 into each expression:

(6√6 + 8√15) + (12√6 - 2√15) < combine like terms, as in combine terms with like radicals

6√6 + 12√6 = 18√6

8√15 - 2√15 = 6√15

P = 18√6 + 6√15

we cannot simplify this further, so this is the answer

hope this helped!

Answer:

I made the problem in a photo so you could do it for the next

ANSWER

B.

[tex] < \: - 3, -2 \: > [/tex]

EXPLANATION

The given vectors are:

[tex]u = < \: - 3,5 \: > [/tex]

and

[tex]v= < \: 6, - 3\: > [/tex]

[tex] - u - v = - 1< \: - 3,5 \: > -1 < \: 6, - 3\: > [/tex]

Use the scalar to multiply and obtain;

[tex] - u - v = < \: 3, - 5 \: > + < \: - 6, 3\: > [/tex]

Simplify to get:

[tex]- u - v = < \: 3 - 6, - 5 + 3 \: > [/tex]

[tex]- u - v = < \: - 3, -2 \: > [/tex]

To find the component form of -u - v, subtract the x-components and y-components separately. The x-component is 3, and the y-component is -2.

The component form of -u - v can be found by subtracting the x-components and the y-components of u and v separately. Given that u=(-3,5) and v =(6,-3), the x-component of -u - v is -(-3) - 6 = -3 + 6 = 3, and the y-component is -(5) - (-3) = -5 + 3 = -2.

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Answer:

52 sq un

Step-by-step explanation:

Answer:

b = 8sqrt(3)

Step-by-step explanation:

The triangle has a 30-deg angle and a right angle, so the third angle measures 60 degrees making this a 30-60-90 degree right triangle.

You don't mention which method to use to solve the problem.

You can use trigonometry ratios or the ratios of the lenghts of the sides of a 30-60-90 triangle

I'll use the second method.

In a 30-60-90 triangle, the lengths of the sides are in the ratio:

1 : sqrt(3) : 2

The long leg measures 12 and corresponds to sqrt(3) in the ratio, so we can find the length of the short leg by dividing 12 by sqrt(3).

12/sqrt(3) = [4 * sqrt(3) * sqrt(3)]/sqrt(3) = 4sqrt(3)

The hypotenuse is twice the length of the short leg.

b = 2 * 4sqrt(3) = 8sqrt(3)

The value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

From the cos ratio:

cos30 = 12/b

b = 12/cos30

b = 12/(√3/2)

After factorization:

b = (24√3)/3

b = 8√3

Thus, the value of b is 8√3 because cos is the ratio of side adjacent to the angle to side opposite to the angle.

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Answer:

1. area

2. circle

3. equilateral

4. length

5. perimeter

6. polygon

7. regular polygon

8. trapezoid

9. legs

10. area of a circle

11. hexagon

12. octagon

13. inscribed polygon

14. apothem

15. composite figure

Step-by-step explanation:

Answer:

D or "(4.4 + 4.8)

         _______

                2

Step-by-step explanation: I got it right on USA Test Prep

540 = a/11

5940 = x

Answer: x = 5940

Answer: [tex]a=5,940[/tex]

Step-by-step explanation:

Given the equation [tex]540=\frac{a}{11}[/tex], you need to find the value of "a", then, you need to solve for "a".

You need to apply the Multiplication property of equality, which establishes that:

[tex]If\ a=b,\ then\ a*c=b*c[/tex]

Therefore, based on this property, you can multiply both sides of the equation by 11.

Then, you get the following solution:

[tex](11)(540)=(\frac{a}{11})(11)\\\\a=5,940[/tex]

Answer:

[tex]n=7[/tex]

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7[/tex]

Plug back in to check.

[tex]\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857[/tex]

Answer:

7

Step-by-step explanation:

I did it and it was correct! Please make me brainliest!

Hope this helpd! :)

Answer: 15•5= 75

Step-by-step explanation:

Answer:

Final answer is $7.52.

Step-by-step explanation:

Given that initial amount P = $2000

Interest rate r = 4.6% = 0.046

Number of compounding periods per year = n = 2 {semiannually}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.046}{2}\right)^{2\left(2\right)}=2190.45[/tex]

Similarly calculate future value for 2nd case:

Given that initial amount P = $2000

Interest rate r = 4.4% = 0.044

Number of compounding periods per year = n = 4 {quarterly}

Time = 2 years

Then future value is given by :

[tex]A=P\left(1+\frac{r}{n}\right)^{n\left(t\right)}[/tex]

[tex]A=2000\left(1+\frac{0.044}{4}\right)^{4\left(2\right)}=2182.93[/tex]

then difference = 2190.45 - 2182.93 = 7.52

Hence final answer is $7.52.

Answer:

$7.52

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The initial amount of trees planted is 1,500, so answers B and D are out. The number that is raised to years (t) is 1.02, and since 1.02 is greater than 1, the number of trees planter per year is growing, and the .02 means that it is growing at 2% because 0.02 * 100 = 2%

Answer:

Step-by-step explanation:

C is correct.  The initial number (of trees) was 1500, and that 2% translates into 1.02 inside the parentheses.

Answer:

ANSWER: D AA, x = 5 1/3  

Calculation:  

x/8 = 10/15  

x = (10/15)(8)  

x = 5 1/3  

Step-by-step explanation:

Answer: AA postulate

Step-by-step explanation:

Answer:

(A) 0.08

Step-by-step explanation:

P(A) = 0.8

P(B) = 0.1

P(A and B)

= 0.8 x 0.1

= 0.08

A. 0.08 If A and B are independent, then the probability that A and B are multiplied?

Answer:

322 Unpopular songs

Step-by-step explanation:

If Becky has 88 total popular songs, and she wrote a total of 410 songs, it is simply subtracting her popular songs from her total songs.

410 - 88 = 322

I think it’s 12 table I believe

ANSWER

The recursive formula is

[tex]a_n = a_ {n - 1}+ 4[/tex]

EXPLANATION

The given sequence is 12,16,20,24,28

The first term of this sequence is

[tex]a_1=12[/tex]

The common difference is

d=16-12

d=4

The recursive formula is given by

[tex]a_n = a_ {n - 1}+ d[/tex]

So we need to substitute the known values to get

[tex]a_n = a_ {n - 1}+ 4[/tex]