Convert 150 square centimeters into square feet.

The result of the product of the given complex numbers as required to be determined is; Choice C; -5 + 14i.

It follows from the task content that the result of the product of the given complex numbers is to be determined.

On this note, since the required product to be evaluated is; (–4 + i) (2 – 3i).

We can therefore multiply as follows;

-8 + 12i + 2i - 3i².

However, it is noteworthy to know that; i² = -1.

Hence, we have that;

-8 + 14i + 3

= -5 + 14i

On this note, it follows that the result of the product of complex numbers as required is; -5 + 14i.

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Answer:

(a) [tex]\sigma = 7.04[/tex]

(b) [tex]\sigma = 14.1[/tex]

(c) The population standard deviation is multiplied by k

Step-by-step explanation:

Given

[tex]Dataset: 12, 7, 18, 23, 24, 27[/tex]

Solving (a): The population standard deviation

Start by calculating the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

[tex]\mu = \frac{12+7+18+23+24+27}{6}[/tex]

[tex]\mu = \frac{111}{6}[/tex]

[tex]\mu = 18.5[/tex]

The population standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]

This gives:

[tex]\sigma = \sqrt{\frac{(12-18.5)^2 + (7 - 18.5)^2 + (18-18.5)^2 + (23-18.5)^2 + (24 - 18.5)^2 + (27 - 18.5)^2}{6}}[/tex]

[tex]\sigma = \sqrt{\frac{297.5}{6}}[/tex]

[tex]\sigma = \sqrt{49.5833}[/tex]

[tex]\sigma = 7.04[/tex]

Solving (b): Double the dataset and calculate the new population standard deviation

The new dataset is:

[tex]Dataset: 24, 14, 36, 46, 48, 54[/tex]

Start by calculating the mean

[tex]\mu = \frac{\sum x}{n}[/tex]

[tex]\mu = \frac{24+ 14+ 36+ 46+ 48+ 54}{6}[/tex]

[tex]\mu = \frac{222}{6}[/tex]

[tex]\mu = 37[/tex]

The population standard deviation is:

[tex]\sigma = \sqrt{\frac{\sum(x - \mu)^2}{n}}[/tex]

This gives:

[tex]\sigma = \sqrt{\frac{(24-37)^2 +(14-37)^2 +(36-37)^2 +(46-37)^2 +(48-37)^2 +(54-37)^2}{6}}[/tex]

[tex]\sigma = \sqrt{\frac{1190}{6}}[/tex]

[tex]\sigma = \sqrt{198.33}[/tex]

[tex]\sigma = 14.1[/tex]

Solving (c): What happens when the dataset is multiplied by k

In (a), we have:

[tex]\sigma = 7.04[/tex]

In (b), when the dataset is doubled,

[tex]\sigma = 14.1[/tex]

This implies that when the dataset is multiplied by k, the population standard deviation will be multiplied by the same factor:

i.e.

[tex]New \sigma = k * \sigma[/tex]

Step-by-step explanation:

please refer to the 3 pages of sketch for details

Answer:

A cute

Step-by-step explanation:

9514 1404 393

Answer:

  2) true

  3) X = -19/48

  4) Y = 27/56

Step-by-step explanation:

3) Subtract 5/6 from both sides

  X = 7/16 -5/6 = (7·6 -16·5)/(16·6) = (42 -80)/96

  X = -19/48

__

4) Subtract 1/7 from both sides

  Y = 5/8 -1/7 = (5·7 -8·1)/(8·7)

  Y = 27/56

Answer:

14.1 inches

Step-by-step explanation:

The formula to be used to find the arc length is Ф = s(arc length) / r(radius)

First we rearrange the formula to find the arc length which would be s = Ф * r

This formula only works in radians so the first step is converting 135° to radians so we would do 135° * π radians/180° which would give us 3π/4

We would then multiply 3π/4 * 6 and get 18π/4,  plugging that value into a calculator returns us a value of ≈ 14.137

We then round to the nearest tenth and get an answer of 14.1 inches for the arc length of the circle below

Answer:

ffyftxrrxrrxcvcmuvcyztzxvujgyh

Step-by-step explanation:

✋☝☝✊✋❤❤❤

You can get 3/8 from 13/8 by subtraction. The solution is 10 / 8

In order to get 3/8 from 13/8 we would have to carry out a subtraction of fractions.

That is we would have: 13/8 - 3/8

take the lcm of the denominator

[tex]\frac{13 - 3}{8}[/tex]

= 10 / 8

Hence when we take 3 / 8 from 13 / 8, the solution that we would have would be from subtraction. This is 10 / 8

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Answer:

a) ≈ 0.1

b) ≈ 0.2

c) ≈ 0.9

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

SOLUTION :-

a) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.1}{0.995}[/tex] ≈ 0.1

b) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{-0.158}{-0.987} = 0.16 (appx)[/tex] ≈ 0.2

c) [tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{0.631}{0.776} = 0.81 (appx)[/tex] ≈ 0.9

Answer:

width = 10 yds

Step-by-step explanation:

perimeter = 2L + 2W

74 = 2(27) + 2W

74 = 54 + 2W

subtract 54 from both sides of the equation:

2W = 20

divide both sides by 2:

W = 10

The width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

For a rectangle with length and width L and W units, we get:

Perimeter of the rectangle = [tex]2(L + W) \: \rm units[/tex]

For this case, let we assume that:

The width of the considered rectangular field = W yards

Then, as we're provided that:

Putting these in the formula for perimeter of a rectangle, we get;

[tex]Perimeter = 2( L + W)\\74 = 2(27 + W)\\\\\text{Dividing both the sides by 2}\\\\\dfrac{74}{2} = \dfrac{2(27+W)}{2}\\\\37 = 27 + W\\\\\text{Subtracting 27 from both the sides}\\\\37 - 27 = W\\W = 10 \: \rm yards[/tex]

Thus, the width of the yard whose length is 27 yards and perimeter is 74 yards is evaluated to be 10 yards

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On solving the provided question, we can say that - by doing the fraction we have 3/12 = 1/4

Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.

balloons is 12

blew up is  1/3

friend blew up is  5

1/3*12 = 4

4+5 = 9

3/12 = 1/4

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Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.

Here,

Given : 0.0912 in scientific notation

=> 9.12 /100

By using scientific notation

=> 9.12 × 10^-2

=> 9.12 x 10 ^-2

So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression

Therefore , the solution of the problem of expression comes out to be

9.12 x 10 ^-2.

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Answer:

Shift down 15 units

Step-by-step explanation:

the number on the right is the one that determines where the line intersects through the y axis

The reason why the cousin's procedure for getting the x and y intercepts work is because they represent the definition of those points on a graph.

The x-intercept of a graph or function simply refers to the point at which the graph crosses the graph crosses the x-axis or the point at which y = 0. In a similar manner, the y-intercept simply refers to the point at which the graph crosses the y-axis or simply the point at which x = 0.

Now, we are given the equation of the line as;

5x + 4y = 14

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Rewriting the equation of the line in slope intercept form is;

y = -⁵/₄x + ⁷/₂

Now, the reason why we plug in 0 for x to get the y-intercept is because when x = 0, that is only where we can get the y-intercept as the corresponding value of x will be traced to 0.

Similarly,  the reason why we plug in 0 for y to get the x-intercept is because when y = 0, that is only where we can get the x-intercept as the corresponding value of y will be traced to 0.

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Answer:

1. A

2. C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i did a test with the same question

The representative sample of the population displayed by the dot plot is: dot plot D.

The representative sample of a population can be described as a subset of a particular population which displays or exhibit similar characteristics of the larger population group.

From the image given, the dot plot that reflects the characteristics of the dot plot of the population is the dot plot in option D.

Dot plot D is a representative sample.

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Answer:

No because 9.307 is less than due the facts that the seven in 9.307 is in the thousandth while the seven in 9.37 is in the hundredths

Answer:

yeah it's true

Step-by-step explanation:

............THANKS.........

Question: If the dimensions of the following cylinder are doubled, what factor will the surface area change by?

8

6

4

2

Answer: i think it is 8 but i will update it if not i am on the test

If the dimensions of the cylinder are doubled, then by 4 factor the surface area changed

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

The radius of cylinder is r=8 inches

Height is 0.5 feet.

Surface area of cylinder=2πr(r+h)

We know that 0.5feet=6 inches

Suface area of original cylinder=2πr(r+h)

=2×π×8(8+6)

=224π

Now the dimensions are doubled ,so r=16 inches , h=12 inches

Suface area of changed cylinder=2πr(r+h)

=2π×16(16+12)

=32π×(28)

=896π

=4(224π)

Hence by 4 factor the surface area is changed.

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Answer: Let n be the number of members in the Science Club.

On the first day, the total cost for transportation plus the cost of tickets is 60 + (15n) dollars.

On the second day, the total cost for transportation plus the cost of tickets is 95 + (12n) dollars.

So, the total cost for both days is (60 + 15n) + (95 + 12n) = 155 + 27n dollars.

The expression to represent the total cost for two days for the n members of the club is 155 + 27n dollars.

This equation represents the total cost for the transportation, planetarium and geology museum for 2 days for the n members in the club.

It should be noted that this is the monetary representation and it might vary depending on other factors, such as group discounts.

Step-by-step explanation:

Answer:

(n x 27)+155

Step-by-step explanation:

15 +12 = 27

Each member pays $27 for the tickets so we multiply it by the number of members.

95 + 60 = 155

The members pay $155 in total for transportation.

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

Answer:

( a + 2 ) ( x - y )

Step-by-step explanation:

2 ( x - y ) - a ( y - x )

= 2 ( x - y ) + a ( x - y )

= ( 2 + a ) ( x - y )

= ( a + 2 ) ( x - y )

Hence factorised.

9514 1404 393

Answer:

  -2/5, -6

Step-by-step explanation:

We assume you're asking for solutions to ...

  (5x -(-2))(x +6) = 0

This can be simplified to ...

  (5x +2)(x +6) = 0

__

The solutions are the values of x that make the factors zero. (The product can only be zero if a factor is zero.) Here, we'll find the zeros of the factors one at a time.

  5x +2 = 0

  5x = -2 . . . . . subtract the constant

  x = -2/5 . . . . divide by the x-coefficient

__

  x +6 = 0

  x = -6 . . . . . .subtract the constant

The solutions of the equation are x = -2/5 or -6.

__

The graph shows the x-values that make the product zero.

Answer:

Years = {log(total) -log(Principal)} ÷ log(1 + rate)

Years = [log (200,000) -log (20,000)] / log (1.09)

Years = [5.3010299957 -4.3010299957] /  0.037426497941

Years = 1 / 0.037426497941

Years = 26.7190374471

*************************************************

Finding Doubling Time : (We'll calculate $100 becoming $200)

Years = {log(total) -log(Principal)} ÷ log(1 + rate)

Years = log (200) -log (100) / log(1.09)

Years =  (2.3010299957 -2) / 0.037426497941

Years = .3010299957 / 0.037426497941

Years 8.0432317278

It takes 8.0432317278 years for money to double at 9% per year.

Source:

http://www.1728.org/compint2.htm

Step-by-step explanation:

Answer:

x = 20°

Step-by-step explanation:

x = 180 - (70 + 90)

x = 180 - 160

x = 20°

Hope this helps!

1. The length of the altitude is 15 units.

2. The perimeter of trapezoid ABCD is 132 units.

An altitude is the vertical height of a given object from the sea level. This is majorly a height reached by an object to the sea level as a reference.

The perimeter of a trapezoid is the sum of all its sides.

From the question;

1. To determine AE,

DE = (DG - EF)/ 2

     = (22 - 6)/ 2          (since AB = EF = 6)

     = 8

DE = 8 units

The altitude AE can be determined by applying the Pythagorean theorem to triangle ADE. So that;

/hyp/^2 = /opp/^2 + /adj/^2

AD^2 = DE^" + AE^2

17^2 = 8^2 + AE^2

289 = 64 + AE^2

AE^2 = 225

AE = 15

Thus the length of the altitude is 15 units.

2. To determine the perimeter of the trapezoid, we have;

AE = (AD - EF)/ 2

     = (58 - 16)/ 2           (since BC = EF = 16)

     = 21

AE = 21 units

So that from triangle ABE, applying the Pythagorean theorem to determine the value of AB, we have;

/hyp/^2 = /opp/^2 + /adj/^2

AB^2 = BE^2 + AE^2

         = 20^2 + 21^2

AB = 841^1/2

AB = 29

Perimeter of the trapezoid = 29 + 16 + 29 + 58

                       = 132 units

Thus, the perimeter of the trapezoid is 132 units.

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Answer: in explanation

Step-by-step explanation

Sandi can perform  1/9 of the task in a day

Eva can perform 1/5 of the task in a day

Working together, they can perform

                                                            1/9 + 1/5 of the task per day

                                                            = 5/45 + 9/45 = 14/45 of the task in a day

or                                                             45/14 days in the task = 3.2 days

So

          It would take about 3.2 days to complete the task working togethe

Answer: Choice A

angle GAF = angle TAE is the lie (aka false statement)

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

Explanation:

Let's go through each answer choice to see which is true or which is false.

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

Choice A

The markers for angles GAF and TAE are different. Both would need to have a single angle marker, or a double angle marker. The differing markers indicates the angles aren't the same.

Also, note that angle TAG isn't a 180 degree angle, or that point G isn't on line TA. We need this to be the the case, so that two vertical angles form. However, such a thing doesn't happen.

So that's why angles TAE and GAF aren't the same measure.

Choice A is the answer. You can stop here if you wanted.

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

Choice B

Let

x = measure of angle TAE

y = measure of angle TAH

z = measure of angle HAF

We can see that x+y+z = 180, since angle EAF is a straight angle. The diagram gives y = 90 and z = 50, so,

x+y+z = 180

x+90+50 = 180

x+140 = 180

x = 180-140

x = 40

Angle TAE is 40 degrees. It adds with angle FAH to get 40+50 = 90, showing that the two angles are indeed complementary.

Choice B is a true statement, so we can rule it out.

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

Choice C

Angle TAF is composed of angles TAH and HAF

Adding the two angles gets us 90+50 = 140, which is larger than 90.

Therefore angle TAF is obtuse.

Choice C is a true statement, and it can be ruled out as well.

Technically you could have stopped at choice A once you found the lie, but I figured to show why choices B and C could be ruled out.