Convert 6cis (5pi)/6 to rectangular form.


A. 3 Square root of 3 + 3i


B. -3 Square root of 3 +3i


C. 3 Square root of 3 - 3i


D. -3 Square root of 3 - 3i


E. 3 - 3 Square root of 3 i

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]\frac{1}{2}x-2>0[/tex]

Solve for x

[tex]\frac{1}{2}x>2[/tex]

[tex]x>4[/tex]

The solution is the interval ------> (4,∞)

All real numbers greater than 4

In a number line, the solution is the shaded area at right of x=4 (open circle, the number 4 is not included in the solution)

see the attached figure

Answer

On 4 there is a circle and the line goes to the right

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The probability of success (getting heads) on one roll DOESNT affect other rolls, so we need to find probability of getting a head in a roll.

Probability is defined as the number of favorable outcomes divided by the total number of outcomes.

Here, favorable outcome is getting a head. So, on one roll, getting a head is 1. Also, the total number of outcomes is either a head or a tail. So total number of outcomes is 2.

Thus,

P(Heads) = 1/2

Answer:

Your answer is B. (3, 5/2)

Step-by-step explanation:

The formula to find the midpoint of a segment is

(x1 + x2) / 2 to find the x value

and (y1 + y2) / 2 to find the y value of the midpoint.

To find the midpoint of the segment in the photo, you would do...

-1 + 3 divided by 2, giving you 3 for your x

and then 2+3 divided by 2, giving you 5/2 for your y.

Hope this helps!

Answer:

B

Step-by-step explanation:

the midpoint is based on the average of the two pair of point X1 and X2 as Y1 and Y1 divided by 2, each one. So, if we settle X1 and Y1 as (-1,2) and X2 and Y1 as (7,3)

(X1 + X2)/2 = (-1+7)/2 = 6/2= 3

(Y1 + Y2)/2 = (2+3)/2 = 5/2

so, we get the Answer B (3 , 5/2)

Answer:

option b

amplitude none ; period 5π/2

Step-by-step explanation:

Given in the question a function,

f(t)=-tan(0.4t)

The tangent function does not have an amplitude because it has no maximum or minimum value. The period of a tangent function, y=atan(bx),is the distance between any two consecutive vertical asymptotes.

Period = π/|b|

           = π/2/5

           = 5π/2

Answer:

4 sqrt(5)

-----------------

5

83 +12 sqrt(35)

Step-by-step explanation:

1.   4 sqrt(6)

 --------------------

sqrt(30)

Multiply the top and bottom by sqrt(30) to rationalize the denominator

4 sqrt(6) *sqrt(30)

 --------------------

sqrt(30)*sqrt(30)

4 sqrt(180)

 --------------------

30

Simplify

2 sqrt(36 *5)

--------------------

15

We know that sqrt(ab) = sqrt(a) sqrt(b)

2 sqrt(36)sqrt(5)

--------------------------

15

2 *6*sqrt(5)

-------------------

15

Simplify

2 * 2 sqrt(5)

---------------------

5

4 sqrt(5)

-----------------

5

2. (2 sqrt(5) + 3 sqrt(7))^2

(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))

FOIL

first 2sqrt(5)*2sqrt(5)=4*5=20

outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)

inner  3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)

last 3sqrt(7) 3sqrt(7) = 9*7 = 63

Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)

Step-by-step explanation:

Hi there! The answer is,6 ounces of sports drink for each player. Pay attention to the following steps:

1 quart= 32 ounces

3 quarts= 32×3 =96 ounces

96÷16= 6 ounces

Answer

b. No

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.

The function is

f(x) =  3*sin(2*x) - 5*cos(x)

Which can be seen in the picture below

We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = 2π

The maximum and minimum values are

Max = 6.937

Min = -6.937

Answer:

B

Step-by-step explanation:

No

The answer is:

The second option, Denver received 21.3 inches of snow during the period from 1888 to 1889.

To know how many inches of snow did Denver receive, we need to sum each the number of inches received per year from 1888 to 1889.

So, from the graph, we have:

For Nov '88, 3 inches.

For Dec '88, 0.8 inches.

For Jan '89, 5.5 inches.

For Feb '89, 8.4 inches.

For Mar '89, 3.6 inches.

Now, adding the number of inches for each month/year, we have:

[tex]Total=3in+0.8in+5.5in+8.4in+3.6in=21.3inches[/tex]

Hence, we have that Denver received a total of 21.3 inches for the 1888-1889 year period.

Have a nice day!

Answer:

Correct Option is d [tex](x+3)^2 = 11[/tex]

Step-by-step explanation:

For completing the square our equation should be in the form of [tex]a^2 +2ab + b^2 = (a+b)^2[/tex]

In the given equation we have:

[tex]x^2 +6x -2\\x^2 + 2(x) (?) +(?)^2 = 2\\for\,\, making\,\, 6x\,\, 2*x*3=6x \\so, \,\,we\,\, can\,\, add\,\, and\,\, subtract\,\, (3)^2 \,\,on\,\, both\,\, sides\\x^2 + 2(x) (3) +(3)^2 -(3)^2= 2\\(x+3)^2 -9 =2\\(x+3)^2 =2+9\\(x+3)^2 = 11[/tex]

Correct Option is d [tex](x+3)^2 = 11[/tex]

Answer:

C) One student is chosen from Classroom A, then a second student is chosen from Classroom A.

Step-by-step explanation:

The choice of each student being chosen is dependent on the first one, as there will be one less person to choose from, leading to a higher chance of the another being chosen.

Answer:

i wanna say the answer is B

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

A. [tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]

Step-by-step explanation:

We have the expression

[tex]log_{3} (\sqrt[5]{x} *y)[/tex]

As these two values are being multiplied, we can separate the two and the sum of them will be equal to the multiplied version

[tex]log_{3}\sqrt[5]{x} +log_{3}y[/tex]

The [tex]\sqrt[5]{x}[/tex] can be rewritten as [tex]x^{\frac{1}{5} }[/tex]. This allows us to use the exponent rule. This means that it can be written as

[tex]\frac{1}{5} log_{3}x +log_{3}y[/tex]

Answer:

A. [tex] \dfrac{1}{5} \log_3 x + \log_3 y [/tex]

Step-by-step explanation:

[tex] \log_3(\sqrt[5]{x} \cdot y) = [/tex]

The log of a product is the sum of the logs.

[tex] = \log_3 \sqrt[5]{x} + \log_3 y [/tex]

Now, write the root as a rational power.

[tex] = \log_3 x^\frac{1}{5} + \log_3 y [/tex]

The log of a power is the the exponent times the log of the base.

[tex] = \dfrac{1}{5} \log_3 x + \log_3 y [/tex]

Answer: Try D

Step-by-step explanation:

Answer: B) 684m

Step-by-step explanation:

From 9 to 27 is a 3 times increase, from 27 to 108 is a 4 times increase. So following the pattern, we can determine that it will increase 5 times, and fall another 540m in second 4. Then, we simply add all the numbers together to get the answer!

Answer:

C. An ellipse

Step-by-step explanation:

If you cut a cone on the side with an angle that will produce an ellipse-shaped plane.

if you were to cut the cone perpendicularly to its height (as if the double cone on the picture was straight up), you would get a circle as the plane, because it would be a transversal cut of a circular cone.

If you cut it with an angle, you're stretching the circle... so you'll have an ellipse.

It is NOT a parabola NOR a hyperbola, since both would require the cross-section to go through the base... which it does not in this problem.  Please refer to the image below.

Answer:

An ellipse

Step-by-step explanation:

A p e x

Answer:

1.78 miles

Step-by-step explanation:

3/4 = .75 of a mile + 1.3 = 1.78

The answer is 2.05.

you can make the fraction into a decimal, 3/4=0.75, then you just add 0.75 to 1.3.

Answer:

y=6

Step-by-step explanation:

use elimination by making the ys opposite in value and eliminating them from the equation so there is only variable:

-3x+2y=6

2(4x-y=2)

-3x+2y=6

8x-2y=4

Combine like terms and divide by 5 on both sides.

5x=10

x=2

Plug x in to find y:

4(2)-y=2

8-y=2

y=6

The y-coordinate in the system of equations, we can use the elimination method. After manipulating the equations, we find that the y-coordinate of the solution is 6.

The y-coordinate of the solution for the given system of linear equations:

-3x + 2y = 6

4x - y = 2

We can use the method of substitution or elimination. Let's use elimination for this example:

Multiply the second equation by 2 to make the coefficients of y equal but opposite: -3x + 2y = 6 becomes -3x + 2y = 6 (unchanged) and 4x - y = 2 becomes 8x - 2y = 4.

Add the modified equations together: (-3x + 2y) + (8x - 2y) = 6 + 4, which simplifies to 5x = 10.

Divide by 5 to solve for x: x = 10 / 5, so x = 2.

Substitute x = 2 into one of the original equations to find y: -3(2) + 2y = 6, which simplifies to -6 + 2y = 6.

Add 6 to both sides to isolate 2y: 2y = 12.

Divide by 2 to solve for y: y = 12 / 2, so y = 6.

Therefore, the y-coordinate of the solution is 6.

Answer:

228

Step-by-step explanation:

I would have saved $228 after 12 weeks if in the first week I deposit $8 in the account, and each week I deposit $2 more than deposited the week before

An equation is an expression that shows the relationship between two or more variables and numbers.

The savings account can be represented by an arithmetic sequence in which the first term (a) = 8, and common difference (d) = 2. Hence, money saved after 12 weeks is:

[tex]S_{n}=\frac{n}{2}(2a+(n-1)d) \\\\S_{12}=\frac{12}{2}(2(8)+(12-1)2) = 228[/tex]

I would have saved $228 after 12 weeks if in the first week I deposit $8 in the account, and each week I deposit $2 more than deposited the week before

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Answer:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.

Step-by-step explanation:If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative.

Answer:

cos Ф = adj / hyp = √5 / 3

Step-by-step explanation:

If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.

If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.  

So we conclude that Ф is in Quadrant 2.

If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:

adj = √( 3² - 2² ) = √( 5 )

With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3

Let's assume your "blanks" are letters x.

[tex]x\times x \times x=27[/tex]

Can be also written:

[tex]x^3=27[/tex]

Now we solve for x using cubic root.

[tex]x=\sqrt[3]{27}=\boxed{3}[/tex]

The blanks are all equal to number 3.

But that is not the only solution.

Hope this helps.

r3t40

Answer: 3

The question is, what numbers multiplied 3 times will get 27?

[tex]\sqrt[3]{27}[/tex] = 3

Hope this helps and have a great day!!!

"169 A" is answer than k y o u

Answer:

9/16

Step-by-step explanation:

The word problem is Royal works part-time at a local store and earns $12 per hour.

The equation is y = 12x, the graph is attached and the table is

Hours Worked | Earnings ($)

     1       |      12      

     2       |      24      

     3       |      36      

     4       |      48      

     5       |      60      

Create/Write a direct variation word problem

A direct variation word problem is as follows

Royal works part-time at a local store and earns $12 per hour.

The above is a direct variation word problem and the equation can be represented as

y = 12x

Where

So, we have the table of values to be

Hours Worked | Earnings ($)

     1       |      12      i.e. 12 * 1

     2       |      24      i.e. 12 * 2

     3       |      36      i.e. 12 * 3

     4       |      48      i.e. 12 * 4

     5       |      60      i.e. 12 * 5      

The graph of the function is added as an attachment

Final answer:

The third side of a triangle with sides of 6 inches and 12 inches must be greater than 6 inches and less than 18 inches in length, without being exactly 6 or 18 inches.

Explanation:

The length of the third side of a triangle with two sides measuring 6 inches and 12 inches must adhere to the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Consequently, for the given triangle, the possible range for the length of the third side, denoted as x, is between 6 inches and 18 inches (exclusive), that is: 12 - 6 < x < 12 + 6. The value of x cannot be exactly 6 or 18 inches because the triangle would collapse into a straight line. Therefore, the permissible length can be any real number greater than 6 inches but less than 18 inches.

Answer:

c

Step-by-step explanation:

The state with the second lowest population has the lowest population density.

The correct statement from the given option is The state with the second-lowest population has the lowest population density.

A ratio shows us the number of times a number contains another number.

The population density of a state is the ratio of the population of the state and the area of the state. Therefore, the population density of the states can be written as,

[tex]\text{Population density of state}=\dfrac{\text{Population of the state}}{\text{Area of the state}}\\\\\\\text{Population density of state A}=\dfrac{1,055,173}{2,677} = 394.163[/tex]

[tex]\text{Population density of state B}=\dfrac{1,333,089}{36,418} = 36.6\\\\\\\text{Population density of state C}=\dfrac{3,596,677}{5,543} = 648.87\\\\\\\text{Population density of state D}=\dfrac{6,745,408}{10,555} = 639.073[/tex]

Thus, the correct statement from the given option is The state with the second-lowest population has the lowest population density.

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Yes by definition of parallelogram

Answer:

False

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

We need to have 4 odd factors not including 1 that are the same

Listing the odd numbers

1,3,5,7,9,11,13,.....

3 is the smallest odd number that is not 1

The factors of 3 are 1 and 3

The number is 3*3*3*3

                       81

d= 157.5 when t is 2.25. all you need to do is plug in 2.25 for t which gives us: d=70(2.25) = 157.7

Multiply the rate, 70 miles per hour, by the given time, 2.25 hours, to find that the distance d is 157.5 miles when t is 2.25 hours.

The question asks for the value of d when t is 2.25 in the equation d = 70t, where d represents the distance in miles and t represents the time in hours. To find the value of d, simply multiply the rate (70 miles per hour) by the given time (2.25 hours).

Solution: d = 70×2.25 = 157.5 miles

Therefore, the distance d when t is 2.25 hours is 157.5 miles.

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Answer : If it is perpendicular to the axis, then a circle. If it is at an angle to the axis, then an ellipse. If it is parallel to the axis, then two parallel lines. Those are the only 3 cases that I can think of.

Hope this helps.

Answer:

Your answer is A,B,AND D

Step-by-step explanation:

The standard deviation for a sample of test scores is 0 tells you that, B) all the test scores must be the same value.

Standard deviation is a measure in statistics which describes how much is each quantity given deviates from the mean of the whole population.

When a sample of test scores are having a standard deviation of 0, this tells you that, the deviation of each of the values from the mean is 0.

This means that all the values must have the same value.

Suppose the data set is, 1, 1, 1, 1, 1.

All the data points are same.

Mean = 1

Deviation of each of the point from mean = 0

So standard deviation = 0

All the test scores are 0 is a special case of the above case where all the test scores are same.

Hence option B is correct.

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