Convert -sqrt3 - i to polar form. PLEASE HELP. Photo has more information

Answer:

t=(2.5,0)

Step-by-step explanation:

Given that

[tex]t=\frac{1}{2} u+v[/tex]

and

u=(-1,4)

v=(3,-2)

Then,substitute value of u and v in the equation

[tex]t=\frac{1}{2} (-1)+3=-\frac{1}{2}+ (3)=2.5\\\\\\\\t=\frac{1}{2} (4)+-2=2+-2=0\\\\\\t=(2.5,0)[/tex]

Answer:

The answer on edge is C

Step-by-step explanation:

Answer:

29/120

Step-by-step explanation:

-8/-15 · 29/64

Lets rewrite the problem

-8/64 *29/-15

We can simplify the first fraction

-1/8 * 29/-15

Multiply the numerators

-1*28 = -29

Multiply the denominators

8*-15 =-120

Put the numerator over the denominator

-29/-120

A negative over a negative is a positive

29/120

Are you sure you have the factions correct

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

[tex]\dfrac{-8}{-15}\times\dfrac{29}{64}[/tex]

[tex]\dfrac{8\times29}{15\times64}[/tex]

[tex]{8 \times 29 = 232}\\\\\ 15\times 64 = 960[/tex]

[tex]\text{Both numbers goes into 8 (or the GCF is 8.)}\text{ So divide both numbers by 8.}[/tex]

[tex]231\div8 = 29\leftarrow \text{numerator (top number)}\\\\ 960\div8=120\leftarrow\text{denominator (bottom number)}[/tex]

[tex]\boxed{\boxed{\text{Answer: }\bf{\dfrac{29}{120}}}}\checkmark[/tex]

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

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

Answer:

x = sqrt( 4^2 + 7^2)

Step-by-step explanation:

They want the equation to solve the triangle

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where a and be are the legs and c is the hypotenuse

4^2 + 7^2 = x^2

Take the square root of each side

sqrt(4^2 + 7^2) = sqrt(x^2)

sqrt( 4^2 + 7^2) = x

Answer:

[tex]\large\boxed{x=\sqrt{7^2+4^2}=\sqrt{65}}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=7,\ leg=4,\ hypotenuse=x[/tex]

Substitute:

[tex]x^2=7^2+4^2\to x=\sqrt{7^2+4^2}[/tex]

[tex]x=\sqrt{49+16}\\\\x=\sqrt{65}[/tex]

Step-by-step explanation:

for a³b²c-1d

given

a=2

b=4

c=10

d=15

a³b²c-¹d

=(2³4²10^-1*15

=2³4²15/10

=8*16*15/10

=8*8*3

=64*3

=192

now

a³b²c¹d

=(2³4²10 15)

=(8*16*10*15)

=120*16*10

=1200*16

=19200

Answer:

3/4 if meant [tex]a=2,b=4,c=10,d=15[/tex]

is [tex]a^3b^{-2}c^{-1}d[/tex]

Step-by-step explanation:

So the expression we want to evaluate for [tex]a=2,b=4,c=10,d=15[/tex]

is [tex]a^3b^{-2}c^{-1}d[/tex]

Please make sure I typed the expression and the values for the letters right.

[tex]a^3b^{-2}c^{-1}d[/tex]

Plug in the given values:

[tex](2)^3(4)^{-2}(10)^{-1}(15)[/tex]

In the following step I said 2^3 equals 8 because 2^3 means 2*2*2.  I also got rid of the negative exponents by taking reciprocal.

[tex]8 \cdot \frac{1}{4^2} \cdot \frac{1}{10^1} (15)[/tex]

In the following step I said 4^2=16 because 4^2 means 4*4.  I also wrote 10^1 as 10.

[tex]8 \cdot \frac{1}{16} \cdot \frac{1}{10} (15)[/tex]

In the following step, I'm going to rewrite everything as a fraction if it isn't already a fraction.  8=8/1 and 15=15/1.

[tex]\frac{8}{1} \cdot \frac{1}{16} \cdot \frac{1}{10} \cdot \frac{15}{1}[/tex]

To multiply fractions, you just multiply straight across on top and straight across on bottom.

[tex]\frac{8(1)(1)(15)}{1(16)(10)(1)}[/tex]

Actually performing the multiplication:

[tex]\frac{120}{160}[/tex]

Time to reduce:

[tex]\frac{12}{16}[/tex] I divided top and bottom by 10 to get this.

One more time for reducing:

[tex]\frac{3}{4}[/tex] I divided top and bottom by 4 to get this.

Answer:

[tex]\large\boxed{y=-\dfrac{2}{3}x+\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

===============================================

We have the points (2, -1) and (5, -3). Substitute:

[tex]m=\dfrac{-3-(-1)}{5-2}=\dfrac{-2}{3}=-\dfrac{2}{3}[/tex]

We have the equation:

[tex]y=-\dfrac{2}{3}x+b[/tex]

Put the coordinates of the point (2, -1):

[tex]-1=-\dfrac{2}{3}(2)+b[/tex]

[tex]-1=-\dfrac{4}{3}+b[/tex]     add 4/3 to both sides

[tex]\dfrac{1}{3}=b\to b=\dfrac{1}{3}[/tex]

Finally:

[tex]y=-\dfrac{2}{3}x+\dfrac{1}{3}[/tex]

Answer:

Max is 4.

Step-by-step explanation:

Maximum means it has a highest point and what is the highest point.

Minimum means it has a lowest point and what is the lowest point.

It doesn't have a minimum because it keeps going down forever and ever.

It does have a maximum because it does stop at the top. The y-value that is stops at is 4 so the max is 4.

Answer:

 (4,-7) is the vertex

Step-by-step explanation:

The equation of the parabola is of the form

y= a(x-h)^2 +k

where (h,k) is the vertex

f(x) = -2(x – 4)^2 – 7

  (4,-7) is the vertex

Answer:

The vertex point is (4, -7)

Step-by-step explanation:

Compare withe the general form of the vertex form:

f(x) = a(x - h)^2 + k  where  (h, k) is the vertex.

f(x) = -2(x - 4)^2 - 7.

- so the vertex is (4, -7).

Answer:

400%.

Step-by-step explanation:

The surface area of a 4 cm cube = 6 * 4^2

= 96 cm^2.

The number of 1 cm cubes that can be cut from the larger cube is :

16 * 4 = 64.

The surface area of each of these smaller cubes is 6*1 = 6 cm^2.

The increase in surface area  is a factor of  (6*64) / 96

= 4 = 400%.

The given three functions all have the same y-intercept at (0,-3).

We have given that,

f(x) = −6x − 3

g(x) is the graph

h(x) = h(x) = 2 cos(x + π) − 1

A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called y-axis and a horizontal line called x-axis.

all you have to do is substitute 0 for x and you can also sub y for the function notation

So the first is y=-6x-3

When x=0 then all you have left is y=-3 so the point is (0,-3)

The second function is shown on the graph and the y-intercept (where x=0) is at -3, so the point for that is (0,-3)

And the third function has x=0, So you get[tex]y=2cos(\pi )-1.[/tex]The [tex]cos(\pi )=-1,[/tex]

So that gives

[tex]y=2(-1)-1\\y=-2-1\\ y=-3[/tex]

then and the point is (0,-3)

Therefore they all have the same y-intercept at (0,-3).

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Answer:

1:1

Step-by-step explanation:

Since both equal up to 100% and both are 50%, it's 1:1.

1 stands for 50% and the other 1 stands for 50% too.

Answer:

55/73

Step-by-step explanation:

Soh Cah Toa gives us our definitions for the trigonometric ratios: sine, cosine, and tangent.

That is the first part means sine is opposite / hypotenuse.

The second part means cosine is adjacent / hypotenuse.

The last part means tangent is opposite / adjacent.

No matter what angle you are looking to label the right triangle from, the hypotenuse will always be the same.  The hypotenuse is the side opposite the 90 angle.  Opposite meaning not touching; across from.

The other two terms are adjacent and opposite and depending on what angle you are looking from these change.

Adjacent means touching (exclude the hypotenuse from this).

Opposite means across from; not touching.

So from Z:

The side that has measurement 55 is opposite to Z.

The side that has measurement 48 is adjacent to Z.

The hypotenuse is the side that has measurement 73.

So from Y:

The side that has measurement 48 is opposite to Y.

The side that has measurement 55 is adjacent to Y.

The hypotenuse is the side that has measurement 73.

We don't label are triangle with respect to the 90 degree, X.

Anyways we asked to find sin(Z).

[tex]\sin(Z)=\frac{\text{opposite to }Z}{\text{ hypotenuse}}=\frac{55}{73}[/tex]

Ok.

So an hour contains 60 minutes.

The fraction is therefore,

[tex]\dfrac{33}{60}=\boxed{\dfrac{11}{20}}[/tex]

Hope this helps.

r3t40

Answer:

33 minutes is 11/20 of an hour.

Explanation:

So we know that 30 minutes is equal to half an hour. 30÷60 = 0.5

0.5 as a fraction is equal to 1/2.

Now let's use that same method for 33.

33÷60= 0.55.

0.55×100== 55.

55 as a fraction would be 55/100.

Let's convert that to its simplest form.

55÷5 = 11

100÷5 = 20

33 minutes is 11/20 of an hour.

Answer:

C

Step-by-step explanation:

Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C

Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C.

Grid Reference a page number, column, and line combination used to identify a container's location in a bay layout. Each area must have a unique Grid Number for quick identification.

Without limiting the generality of the aforementioned, each credit party agrees that the administrative agent shall have the right to sell or otherwise dispose of all or any portion of the collateral at a public or private sale, at any broker's board.

It on any securities exchange, for cash, upon credit, or for future delivery as the administrative age approaches, subject to the mandatory requirements of applicable law.

Therefore, Its C because the graph is not up to scale in order to fit the other options B looks like it could but I cant see the whole graph so Id go with C.

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Answer:

[tex](6g)(11g)=\bigg((6)(11)\bigg)(gg)=66g^2[/tex]

Answer:

Sequence 3

-10,-7.5,-5,-2.5,...

Step-by-step explanation:

So f(n+1)=f(n)+2.5 means a term can be found by adding it's previous term to 2.5. That means this is an arithmetic sequence with a common difference of 2.5.

f(n+1)=f(n)+d is the recursive form for an arithmetic sequence with common difference d.

So you are looking for a sequence of numbers that is going up by 2.5 each time.

Let's check sequence 1:

2.5+2.5=5 so not this one because we didn't get 6.25 next.

Let's check sequence 2:

2.5+2.5=5 is what we have for the 2nd term.

5+2.5=7.5 so not this one because we didn't get 10 next.

Let's check sequence 3:

-10+2.5=-7.5 is the 2nd term

-7.5+2.5=-5 is the 3rd term

-5+2.5=-2.5 is the 4th term

Sequence 3 is arithmetic with common difference 2.5 assuming the pattern continues.

Let's check sequence 4 for fun:

-10+2.5=-7.5 is not -25

So we are done. Sequence 3 is the only one that fits term=previous term+2.5 or f(n+1)=f(n)+2.5.

(6x+5)-(x+3).

6x+5-x-3.

Add the like terms.

6x-x+5-3.

We get.

5x+2.

Answer:

6x+5-x-3

=5x+2

Answer:

[tex]\large\boxed{a_{10}=\dfrac{3}{110}}[/tex]

Step-by-step explanation:

Put n = 10 to the equation [tex]a_n=\dfrac{3}{n(n+1)}[/tex]

[tex]a_{10}=\dfrac{3}{10(10+1)}=\dfrac{3}{10(11)}=\dfrac{3}{110}[/tex]

For this case we have the following sequence:

[tex]a_ {n} = \frac {3} {n (n + 1)}[/tex]

We must find the value of[tex]a_ {10}[/tex], then, substituting [tex]n = 10[/tex] in the formula we have:

[tex]a_ {10} = \frac {3} {10 (10 + 1)}\\a_ {10} = \frac {3} {10 * 11}\\a_ {10} = \frac {3} {110}[/tex]

ANswer:

[tex]a_ {10} = \frac {3} {110}[/tex]

Answer:

a)

i) Mean = 72

ii) Median = 72

iii) Mode = 72

b)

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

a. To find mean, median and mode

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

i) mean = (sum of data)/(total number of data)

 = (9 * 72)/9 = 9

ii) Median - Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

iii) Mode - Most repeating data in the data set

Here mode = 72

b). To find a data set

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

Answer:

TRUE

Step-by-step explanation:

Meaningful use is used to define the minimum standards of the American government for electronic health records and it has five main objectives:

Therefore, the statement is true.

Answer:

Length of the segments will be 10 cm and 45 cm.

Step-by-step explanation:

Let the length of one segment is x.

Then by the statement of this question,

"one segment is 5 cm more than four times the length of another".

Length of other segment = 4x + 5

(4x + 5) - x = 35

4x + 5 - x = 35

3x + 5 = 35

3x = 35 - 5

3x = 30

x = 10 cm

Length of other segment = 4(10) + 5 = 45 cm

Therefore, two segments are of length 10 cm and 45 cm.

Answer:

-x^3-3x^2+2x+4

Step-by-step explanation:

Just calculate each coefficient of the polynomial separately.

x^3-2x+6-(2x^3+3x^2-4x+2) = (1-2)x^3+(0-3)x^2+(-2-(-4))x+(6-2) = -x^3-3x^2+2x+4.

Answer:

- x³ - 3x² + 2x + 4

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 ← in standard form

Answer:

7.4

Step-by-step explanation:

The information given is in from SAS.

This is a job for law of cosines.

This is the law of cosines [tex]a^2=b^2+c^2-2bc cos(A)[/tex]

The angle A is opposite side a and b,c are the other sides.

So 13 degrees is opposite the y there.

[tex]y^2=16^2+22^2-2(16)(22)\cos(13)[/tex]

Now I'm going to put 16^2+22^2-2*16*22*cos(13) in my calculator:

[tex]y^2=54.04347439[/tex]

Now one more step. To get rid of the square, you need to square root both sides:

[tex]y=\sqrt{54.04347439}=7.351426691[/tex]

Sp the answer is approximately 7.4

Answer:

7.351

I don't know how they have rounded; the closest answer is A

Step-by-step explanation:

The only way I know to do this is with the cos law

y^2 = x^2 + z^2 - 2*x*z cos(Y)

x = 22

z = 16

y = ?

I have serious doubts that this will make a triangle. I ran it though a calculator and it does work -- surprise for me. Substitute the givens.

y^2 = 256 + 484 - 2*10*22*cos(13)

y^2 = 740 - 704*cos(13)

y^2 = 740 - 704*0.9744

y^2 = 740 - 685.95

y^2 = 54.05                                       Take the square root of both sides

y = √54.05

y = 7.351

Answer:

The beetle does

Answer:

The Ant travels farther per second

Step-by-step explanation:

To Find how far the ant and beetle travels we have to find out how many feet per second the Ant and Beetle travel.

To find that out for the Ant I divided 30 by 2 and got 15 which means the ant travels 1 foot in 15 second.

To find that out for the beetle I divided 90 by 5 and got 18 which means the beetle travels 1 foot in 18 seconds.

Therefore the Ant travels faster.

Divide the number of bands by the total acts:

3 /16 = 0.1875

Multiply by 100:

0.1875 x 100 = 18.75% were bands.  ( Round answer as needed.)

Answer:

n ≤  88.2

Step-by-step explanation:

Answer:

"n divided by four-point-two is greater-than or equal to twenty-one".

~

Answer:

12

Step-by-step explanation:

Start by multiplying both sides by 2.

[tex]\frac{1}{2} x+3=\frac{2}{3} x+1\\x+6=\frac{4}{3} x+2[/tex]

Next, multiply both sides by 3.

[tex]x+6=\frac{4}{3} x+2\\3x+18=4x+6[/tex]

Combine like terms.

[tex]3x+18=4x+6\\18=x+6\\12=x[/tex]

Answer:

Step-by-step explanation:

Look at the pictures.

x - sausage

y - bacon

A. 20 pounds of sausage and 90 pound of bacon

x = 20 → y = 100 > 90

B. 40 pound of sausage and 40 pound of bacon

x = 40 → y = 75 > 40

C. 60 pound of sausage and 80 pound of bacon

x = 60 → y = 50 < 80

D. 80 pound of sausage and 20 pound of bacon​

x = 80 → y = 25 > 20

Option A (20 pounds of sausage and 90 pounds of bacon) and Option B (40 pounds of sausage and 40 pounds of bacon) are the possible combinations of pounds of sausage and bacon that you can buy.

The inequality 5x + 4y < 500 represents the possible combinations of pounds of sausage (x) and bacon(y) you can buy.

Let's check each option to see if it satisfies the inequality:

Therefore, options A and B are the possible combinations of pounds of sausage and bacon that you can buy.

Answer:

there would be 212,888 books in the 2nd library, and 6,000 cupboards needed to hold all the books.

Step-by-step explanation:

simple division is all you need to answer. 480,000 divided by 80 is 6,000. for the second part, if the total amount of books between both libraries is 480,000 and one library has 267,112 books, 480,00 - 267,112 is 212,888

Hope this helps :)

feel free to ask if you have any questions

Answer:

x = 5, x=-2

Step-by-step explanation:

The factors are x-5 and x+2:

Set each factor equal to zero and then solve each of them for x to find out what values of x make the polynomial equal to zero.

x-5 = 0 , x+2 = 0

x=0+5 , x=0-2

x=5  , x= -2....

The values of x that make the polynomial 0, given its factors are x⁵ and x + 2, are x = 0 and x = -2.

If the factors of a polynomial are x⁵ and x + 2, to find the values of x that make the polynomial equal to zero, we set each factor equal to zero and solve for x.

For the factor x⁵ = 0, the only solution is x = 0.

For the factor x + 2 = 0, solving for x gives us x = -2.

Therefore, the values of x that make the polynomial 0 are x = 0 and x = -2.