Make the following conversions. Round your answers to 2 decimal places, where necessary.5 hours 10 minutes toa. Minutes: ? minb. Hours: ? hr

[tex]\qquad \textit{power of a complex number} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill\\\\ z=2[\cos(104^o)~~ + ~~i\sin(104^o)] \\\\\\ z^2=2^2[\cos(2\cdot 104^o)~~ + ~~i\sin(2\cdot 104^o)] \\\\\\ z^2=\underset{polar}{4[\cos(208^o)~~ + ~~i\sin(208^o)]}~\hfill \implies ~\hfill z^2\approx \underset{rectangular}{\stackrel{4\cos(208^o)}{-3.532}~~,~~\stackrel{4\sin(208^o)}{-1.878} i}[/tex]

Answer:

• x-intercept =7

• y-intercept = -3.5

Explanation:

Given the linear equation

x-intercept

The x-intercept is the value where the line crosses the x-axis.

We calculate this by setting y=0

The x-intercept is 7.

y-intercept

The y-intercept is the value where the line crosses the y-axis.

We calculate this by setting x=0

The y-intercept is -3.5.

Answer:

11z - 1

Step-by-step explanation:

Do you have a picture of your question?

Part (a)

[tex]P(0)=0.7166(0)^2+6.267(0)+1.344 \approx 1.3[/tex]

Part (b)

[tex]P(5)=0.7166(5)^2+6.267(5)+1.344 \approx 50.6[/tex]

Part (c)

[tex]P(10)=0.7166(10)^2+6.267(10)+1.344 \approx 135.7[/tex]

Answer:

x [tex]\leq[/tex] 17/7

Step-by-step explanation:

7x + 19 [tex]\leq[/tex] 12

Is the inequality you are trying to solve.

When solving an inequality, we solve it like a regular equation and do inverse operations by looking at the number and doing the opposite of whatever its operation is. Whatever happens on one side happens to the other. So you would first subtract 19 on both sides.

1. 7x + 19 [tex]\leq[/tex] 12

        -19       -19

   7x [tex]\leq[/tex] -17

the reason we subtracted was because the opposite operation to addition is subtraction as the number 19 had had a plus sign behind it

--

We would now divide as the operation opposite to multiplication is division and 7x is 7 times x

2. 7x [tex]\leq[/tex] -17

    ÷7    ÷7

  x [tex]\leq[/tex] [tex]\frac{17}{7}[/tex] OR 2 [tex]\frac{3}{7}[/tex]

--

The answer is:

x [tex]\leq[/tex] 17/7

Hope this helped!

Answer:

Step-by-step explanation:

The cup of paint he has now is  11/12.

We are basically going to add or subtract the quantity of cup added or used respectively.

Initially, he has 3/4 cup of paint.

He uses 1/3 cup out of the 3/4 cup of paint, so we subtract 1/3 from 3/4:

= 3/4 - 1/3 = 5/12

He adds another 1/2 cup, so we add 1/2 to what we have left previously (5/12):

= 5/12 + 1/2 = 11/12

Therefore, the amount of paint he has now is 11/12 cup

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The most appropriate choice for simple interest will be given by-'

Amount of money Josh have at the end of 5 years = $330

Fourth option is correct

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = [tex]\frac{p \times r \times t}{100}[/tex]

Adding Principal and simple interest will give the amount

Here,

Principal deposited by Josh= $300

Rate of interest = 2%

Time = 5 years

Simple interest = [tex]\frac{300 \times 2 \times 5}{100}\\[/tex]

                         = $30

Amount of money Josh have at the end of 5 years = $(300 + 30)

                                                                                     = $330

Fourth option is correct

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Functions given:

Using a graphing calculator, we can find the graph of both functions:

The red line is representing f(x) graphically, while the blue line is representing g(x) graphically.

As they have the same slope, then f(x) is parallel to g(x).

Answer:

The functions are parallel.

We have the following:

resolving:

Therefore, the midpoint is:

The constant of proportionality for the relationship is p = 75.

Proportional relationships are relationships between two variables where their ratios are equivalent.

In other words, a proportional relationship is one in which two quantities vary directly with each other.

It can be represented as follows:

y = px

where

Therefore, when we are given the variables the constant of proportionality can be found as follows:

where

y = 150

x = 2

p = y / x

p = 150 / 2

Therefore,

p = 75

Complete question: Determine the constant of proportionality for the relationship: y = px  where y = 150 and x = 2

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A graph of the points on the coordinate plane with a straight line is shown in the image attached below. An equation in slope-intercept to represent the relationship is y = 125x + 500.

In order to determine the equation of this line in slope-intercept, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope, m = (3,000 - 1,750)/(20 - 10)

Slope, m = 1,250/10

Slope, m = 125.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁)

Where:

At point (10, 1,750), we have;

y - 1,750 = 125(x - 10)

y - 1,750 = 125x - 1,250

y = 125x - 1,250 + 1,750

y = 125x + 500

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Answer:

Step-by-step explanation:

Answer:

(15, 20)

Explanation:

If the point (10,20) belongs to the graph of f(x), a function that satisfies this point for example could be:

When x is replaced with x-5, we have:

Therefore, when x=15

A point that belongs to the graph of y = f(x-5)​ is (15, 20).

Answer:

Step-by-step explanation:

Solution

We are given the two equations

Now, equation (1) x 2

Equation (1) - equation (2)

Which is never possible!

Therefore, the system of equation is NOT consistent.

Note:

Let us also draw the graph of the eqautionm given

Therefore, the system of equation is Inconsistent and Independent

The answer is 6

If you divide 18 by 3 it's 6

The zeroes of the function f(x) = x⁵ - 8x³ - 9x are x = 0, 3, - 3, i, and - i.

Consider the function,

f(x) = x⁵ - 8x³ - 9x

x⁵ - 8x³ - 9x = x( x⁴ - 8x² - 9 )

Factoring: x⁴ - 8x² - 9

The coefficient of x⁴ is 1, the coefficient of -8x² is - 8, and - 9 is the constant term.

x⁴ - 8x² - 9 = x⁴ - 9x² + x² - 9 = x²( x² - 9 ) + 1( x² - 9 )

x⁴ - 8x² - 9 = ( x² - 9 ) ( x² + 1 )

So,

x⁵ - 8x³ - 9x= 0

x( x⁴ - 8x² - 9 ) = 0

x( x² - 9 ) ( x² + 1 ) = 0

x( x - 3 )( x + 3 ) ( x² + 1 ) = 0

Therefore, the zeroes of the function are:

x = 0, x = 3, x = - 3, and

x² + 1 = 0

x² = - 1

x = ± √( - 1 ) = ± i

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Jim's GPA for the last semester was 3.41.

The Grade Point Average (GPA) is the summary of academic achievement in an academic period (semester).

GPA is computed as course unit value multiplied by grade points, divided by the sum of course units.

The Grade Point Average (GPA)  may also be described as the cumulative GPA, that is, the sum of the grade points divided by the sum of the units.

Determining a student's GPA helps the school administrators to ascertain the student's academic progress, verifying areas for further improvement.

Class            Course Grade   Credit Hours    Grade Value   Total Grade

MATH 128               A                     4                         4.0           16 (4 x 4)

ENG 152                  B+                   3                         3.3            9.9 (3 x 3.3)

COM 210                 C-                   2                          1.7            3.4 (2 x 1.7)

HIST 151                  A-                    5                        3.7            18.5 (5 x 3.7)

Total                                              14                                        47.8

GPA = 3.41 (47.8/14)

Thus, for last semester, Jim's GPA was 3.41.

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Answer: A

Step-by-step explanation: to find the base price, you would do 82.5 to give you a rate of 0.0727 (repeating) book per dollar. then if you do that with 7 and 8 in the same table, t gives you the same rate so A would be the answer.

Answer:

A

Step-by-step explanation:

We don't actually need to do any math to figure this out. We can use process of elimination and logical thinking.

we know it's not B because the prices are too close to each other, there is also the fact that 3 books should cost half of 82.50, and 15.75 isn't half of 82.50.

it's not D because 21 books cannot cost 33.75 dollars if 6 books cost 82.50.

it's not c because 12 books should be double the cost of 82.50, which it isn't.

therefore it must be A

hope this helps :D

Answer:

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

Step-by-step explanation:

Answer:

do i need to do the right or wrong answer

im pretty sure that there is 12

Step-by-step explanation:

Answer:

$32190

Step-by-step explanation:

19,000 x 1.3 = 24700

24700-2500=22200

22200 x 1.45 = 32190

27 blue marbles are there in the bag.

Given,

A bag contains 18 red marbles.

The ratio of red marbles to blue marbles is 6:9

Solution:

From the given ratio of 6:9,

If 6 part is red marble, then 1 part = 18/6 =3

Therefore,

The number of blue marbles is 9*3 = 27

Thus, there are 27 blue marbles in the bag.

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The Mercury is 5.745 × 10^9 kilometers closer to the sun.

In this question, we have been given the approximate average distance from the sun to Neptune and Mercury.

Mercury : 5.79 × 10^9 kilometers

Neptune : 4.5 × 10^7 kilometers

We need to find how much Mercury is closer to the sun.

To find the distance by which Mercury is closer to the sun, consider the difference (5.79 × 10^9) - (4.5 × 10^7)

In the above difference the exponents of 10 are different.

So, we consider the 10^7

we write 5.79 × 10^9 as 579 × 10^7

So the difference would be,

(579 × 10^7) - (4.5 × 10^7)

= (579 - 4.5) × 10^7

= 574.5 × 10^7 km

= 5.745 × 10^9 km

Therefore, the Mercury is 5.745 × 10^9 kilometers closer to the sun.

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Using probability we know that the expected value of the insurance company is $141.

So, the expected value of the insurance company:

Now, get the expected value as follows:

Rounding off: $141

Therefore, using probability we know that the expected value of the insurance company is $141.

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The complete question is given below:

There is a .9987 probability that a randomly selected 27-year-old male lives through a year. a life insurance company charges $154 for ensuring that the male will live through the year. if the male does not survive the year, the policy pays out $100,000 as a death benefit.

What is the expected value for the insurance company?

To emphasize the slow increase in profits, it would be best for Bradley to use Graph A for his presentation.

Bradley should use this graph for his presentation because the profit appears to increase less on this graph (regardless both graphs show the same information)

The slope of the line can be calculated using the points (2,2) and (6,10):

Since the point (a,8) should belong to the same line, the slope should be the same using the points (a,8) and any other point. Since the slope is 2, use the points (a,8) and (2,2):

We got this expression for a:

Take the reciprocal of both sides of the equation:

Multiply both sides by 6:

Add 2 to both sides of the equation:

Therefore, a=5.