5pm to 5 am how many hours

Write each number in complex polar form:

[tex]z=2e^{i\cdot30^\circ}[/tex]

[tex]w=5e^{i\cdot60^\circ}[/tex]

When you multiply two exponential expression with the same base (here, that's e), you end up adding the exponents, so that

[tex]zw=(2\cdot5)e^{i\cdot30^\circ+i\cdot60^\circ}=10e^{i\cdot90^\circ}=10i[/tex]

so the angle of the product zw is 90°.

Answer:

24

Step-by-step explanation:

Answer:

113

Step-by-step explanation:

First you need to find the radius, the key term to find the radius is diameter=2⋅radius ; therefore the radius r is 122=6 inches. To find the area of a circle, you need to use the formula A=π⋅r2 ; therefore the area A is π⋅62≈113 square inches.

Answer:

It will take 2 1/2 years

Step-by-step explanation:

Using simple interest, it is found that it will take 2.5 years for the account to reach $713.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

For this problem, the parameters are: [tex]A(t) = 713, A(0) = 620, r = 0.06[/tex].

Then:

[tex]A(t) = A(0)(1 + rt)[/tex]

[tex]713 = 620(1 + 0.06t)[/tex]

[tex]1 + 0.06t = \frac{713}{620}[/tex]

[tex]0.06t = 1.15 - 1[/tex]

[tex]0.06t = 0.15[/tex]

[tex]t = \frac{0.15}{0.06}[/tex]

[tex]t = 2.5[/tex]

It will take 2.5 years for the account to reach $713.

For more on simple interest, you can check https://brainly.com/question/25781328

Answer: point B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Absolute value negates positive or negative values, therefore the larger number wins (e.g |6|=6, |-7|=7)

I hope this helps and good luck!

Answer:

(-5p + 2)(-p + 10)

Step-by-step explanation:

[tex]5p^{2}[/tex]-52p + 20

(-5p + 2)(-p + 10)

You can double check this by using the distributive property..

-5p * -p = -5p^2

2*-p = -2p

10*-5p = -50p

10*2 = 20

-5p^2 + -2p + -50p + 20

Now we combine like terms and simplify

-5p^2 -52p + 20

So, we are correct

Answer:

D would be the actual answer.

Step-by-step explanation:

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

Answer:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Step-by-step explanation:

Given

[tex]y = 6x - 27[/tex]

[tex]y = 2x - 7[/tex]

Required

Determine the point of intersection

We simply equate both equations; i.e.

[tex]y = y[/tex]

or

[tex]6x - 27 = 2x - 7[/tex]

Collect Like Terms

[tex]6x - 2x = 27 - 7[/tex]

[tex]4x = 20[/tex]

Solve for x

[tex]x = 20/4[/tex]

[tex]x = 5[/tex]

Substitute 5 for x in [tex]y = 2x - 7[/tex]

[tex]y = 2 * 5 - 7[/tex]

[tex]y = 10- 7[/tex]

[tex]y = 3[/tex]

Hence, the point of intersection is:

[tex]x = 5[/tex]; [tex]y = 3[/tex]

Answer:

The common difference of the given AP is d=5.

Step-by-step explanation:

Given the sequence

[tex]10,\:15,\:20[/tex]

An Arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the common difference of all the adjacent terms

[tex]10,\:15,\:20[/tex]

[tex]15-10=5,\:\quad \:20-15=5[/tex]

As the difference between all the adjacent terms is the same and equal to

[tex]d=5[/tex]

Therefore, the common difference of the given AP is d=5.

Answer:

f(x), Red Line: m = -½; b = 2

g(x), Blue Line: m = ⅓; b = -1

h(x), Green Line: m = 3; b = 0

Step-by-sep explanation:

✍️Note the following:

✔️The slope of a line, m, = [tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

✔️y-intercept, b, = the point on the y-axis where the line intercepts the y-axis, and where x = 0.

f(x), Red Line:

Using 2 points on the red line, (6, -1) and (8, -2)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 -(-1)}{8 - 6} = \frac{-1}{2} [/tex]

m = -½

The red line intercepts the y-axis at y = 2, therefore:

b = 2

g(x), Blue Line:

Using 2 points on the blue line, (0, -1) and (3, 0)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{3 - 0} = \frac{1}{3} [/tex]

m = ⅓

The blue line intercepts the y-axis at y = -1, therefore:

b = -1

h(x), Green Line:

Using 2 points on the green line, (0, 0) and (1, 3)

slope (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{1 - 0} = \frac{3}{1} = 3 [/tex]

m = 3

The green line intercepts the y-axis at y = 0, therefore:

b = 0.

Answer:

Step-by-step explanation:

The formula for  calculating the amount after t years is expressed as;

A = P(1+r/n)*nt

P is the Principal (amount invested) = $300

r is the rate = 7% = 0.07

t is the time used to save = 11 years

n is time of compounding = 1/4 (quarterly)

Substitute;

A = 300 (1+0.07/(1/4))^(1/4)(11)

A = 300(1+4(0.07))^2.75

A = 300(1+0.28)^2.75

A = 300(1.28)^2.75

A = 300(1.9716)

A = 591.49

Hence the amount that will be in her account after 11 years is $591.49

Answer:

5 - 10g + 20b

Step-by-step explanation:

(5 times 1) plus (5 times -3g)  plus (5 times 4h)

5 - 10g + 20h.

This is the answer.

#teamtrees #WAP (Water And Plant)

Answer:

-3/4

Step-by-step explanation:

Line is passing through the points [tex] M(1,\:3)=(x_1, \: y_1) \: \&\: N(5, \: 0)=(x_2,\:y_2) [/tex]

Slope of MN

[tex] = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ = \frac{0 - 3}{5 - 1} \\ \\ = \frac{ - 3}{4} \\ \\ = - \frac{3}{4} [/tex]

Answer:

.09,1/6,1/3,2/5

Step-by-step explanation:

Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3

Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.

tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10

You can find the angles using the unit circle. You can also find the angle using algebra.

I want to show you the algebra way.

Since cos(x) = cos(2•pi - x), this leads to two equations.

The two equations are as follows:

cos (x) = -1/2...the given problem.

We also have cos (2•pi - x) = -1/2.

To isolate x for both trigonometric equations, use the inverse trig function idea.

Equation 1

arccos(cos x) = arccos (-1/2)

x = 2•pi/3

Equation 2

arccos(cos (2•pi - x)) = arccos (-1/2).

Note: 2•pi - x = 2•pi/3. We are not done with this equation. We must isolate x. In other words, like any other equation, solving for x is needed.

When we subtract 2•pi from both sides, the answer for x in the second equation is 4•pi/3.

As you know, 2•pi/3 and 4•pi/3 lie between 0 and 2•pi on the unit circle.

Answer: 2•pi/3, 4•pi/3

Answer:

16

Step-by-step explanation:

parentheses first: 10-6 which is 4^2 or 16.

Hope this helps :D

Answer:

0.0907

Step-by-step explanation:

There are 12 picture cards

There are 4 9's

There are 52-12-4 = 36 cards that are not 9's and not picture cards

(5*58905)/(52C5)

Answer:

114.4

Step-by-step explanation:

421.2

-305.2

114.4

Answer:

[tex] \boxed{ \sf{Total \:Interest = \underline{ 2223} \: rupees}}[/tex]

[tex] \boxed{ \sf{Total \: Amount = \underline{10023} \: rupees}} [/tex]

Step-by-step explanation:

[tex] \boxed{ \sf{Simple \: interest \: ( \: I\: )\: = \frac{Principal \: ( \: P \: ) \: \times \: Time \: ( \: T \: ) \: \times \: Rate \: ( \: R \: )}{100}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{7800 \times 3 \times 9.5}{100}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{222300}{100}}} [/tex]

[tex] \longrightarrow{ \sf{2223 \: rupees}}[/tex]

The total interest = 2223 rupees.

[tex] \boxed{ \sf{Amount \: (A) = Principal \: ( \: P \: ) \: + \: Interest \: ( \: I \: )}}[/tex]

[tex] \longrightarrow{ \sf{7800 \: rupees + 2223 \: rupees}}[/tex]

[tex] \longrightarrow{ \sf{10023 \: rupees}}[/tex]

The total amount = 10023 rupees.

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Hope I helped!

Have a wonderful time ツ

~TheAnimeGirl

Answer:i used a calculator 12000

Step-by-step explanation:12 × 10 × 10 × 10 = 12000

and have a nice Day :)

Answer:

12000

Step-by-step explanation:

If you multiply 12 by 10 its 120, if you add 2 more 0's to the end of the number, it will be 12000, so, basically, any time you multiply a number by 10, you add a 0 to the end of the number your multiplying 10 by, hope this helps:)

Answer:

for f(x)=tan(2x+1)

Amplitude: None

Period: pi/2

phase Shift: -1/2(1/2 to the left)

Answer:

f(x) = 10,500 x 1.05^t