[30 PTS!!] Using mathematically precise language, explain in detail how you would multiply the complex number [tex]z_1=r_1(cos[/tex]θ[tex]_1+i sin[/tex]θ[tex]_1)[/tex] with the complex number [tex]z_2=r_2(cos[/tex]θ[tex]_2+isin[/tex]θ[tex]_2)[/tex].

Answer:

The answer is

→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

Step-by-step explanation:

For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.

This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)

Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/20/2022 at 1:37 PM

(To avoid plagarism, by users whom decide to copy.)

Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.

The given function is [tex]h(x)=1.4^x+5[/tex].

The domain of a function is the set of all valid inputs (x-values) for which the function is defined.

In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.

Therefore, Domain: {x | x is a real number}

The range of a function is the set of all possible output (y-values) that the function can produce.

In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.

Hence, the range consists of all real numbers greater than 5.

Therefore, Range: {y | y > 5}.

An asymptote is a line that a function approaches but never crosses.

For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.

However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.

Therefore, Asymptote is y = 5.

Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.

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Answer:

✓ 4 2/5 divided by 1 1/10= 4

Step-by-step explanation:

✓ Factor the numerator and denominator and cancel the common factors.

✓  Hopefully this helps you!

-Keira

When [tex]4\frac{2}{5}[/tex]  is divided by [tex]1 \frac{1}{10}[/tex]  we get the value 4.

Convert mixed numbers to improper fractions:

[tex]4\frac{2}{5}[/tex] = (4 × 5 + 2) / 5 = 22/5

[tex]1 \frac{1}{10}[/tex] = (1 × 10 + 1) / 10 = 11/10

Divide the two fractions:

(22/5) ÷ (11/10)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(22/5) × (10/11)

220/55

220/55 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(220 ÷ 5) / (55 ÷ 5)

= 44/11

=4

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Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples

Step-by-step explanation:

     We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.

8 1/2 -> 8 4/8

1/2 -> 4/8

3 1/8 -> 3 1/8

     Next, I will subtract and simplify as I go.

8 4/8 - 4/8 - 3 1/8

8 - 3 1/8

8 - 3 = 5, 5 - 1/8 = 4 7/8

   Marco has 4 7/8 pounds of apples left.

Answer:

83 ft^2

Step-by-step explanation:

6*2.5 (bottom)= 15

4*2.5*2 (one set of sides)= 20

4*6*2 (another set of sides)= 48

Add, 83 ft^2

Answer:

(1) N or n = 20

(2)  = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

Answer:

Radius = 6.5

diam = 13

Step-by-step explanation:

diameter is already stated

radius is half of the diameter

so Ms. Davis gets hmmm say "x" percent from sales as her commission, and we know she did in sales $309 and made $27.81.

if we take 309 to be the 100%, and x% of that is 27.81, what's "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 309 & 100\\ 27.81& x \end{array} \implies \cfrac{309}{27.81}=\cfrac{100}{x} \\\\\\ 309x=2781\implies x=\cfrac{2781}{309}\implies x=9[/tex]

Answer:

The answer would be 2x+4+3x+4, 5x+8, and 2(2x+4) +x

Step-by-step explanation:

Step 1. Simplify 2x+4+3x+4 into 5x (combine the x's) +8 (combine the 2 4's)
Step 2. Simplify 2(2x+4)= x into 4x + 8 + x (<-- distribute the 2 to the 2x and 4) and 4x+x would equal 5x meaning 5x + 8.
I hope that this helps! :)

Answer:

2816 x 7 is 19712.

Step-by-step explanation:

I'm not going into detail, but simply, use a calculator

Answer:

the answer is 19,712

Step-by-step explanation:

ur welcome

Answer:

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Explanation:

5

x

2

+

8

x

−

4

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

5

⋅

(

−

4

)

=

−

20

AND

N

1

+

N

2

=

b

=

8

After trying out a few numbers we get

N

1

=

10

and

N

2

=

−

2

10

⋅

(

−

2

)

=

−

20

, and

10

+

(

−

2

)

=

8

5

x

2

+

8

x

−

4

=

5

x

2

+

10

x

−

2

x

−

4

=

5

x

(

x

+

2

)

−

2

(

x

+

2

)

(

x

+

2

)

is a common factor to each of the terms

=

(

5

x

−

2

)

(

x

+

2

)

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Answer:

32

Step-by-step explanation:

First, let's find angle 6 as we will need that to find angle 8.

angle 6 = 180 - 122 = 58(straight line angles equal to 180)

now sum of angles in a triangle = 180

so angle 8 = 180 - 90 - 58

                  = 32

Hope it helps:)

Answer:

32°

Step-by-step explanation:

We know that the exterior angle of the triangle is equal to the sum of the interior opposite angles.

Therefore,

< 1 + < 8 = 122°

Also, given that,

<1 = 90°

So,

< 1 + < 8 = 122°

90° + < 8 = 122

< 8 = 32°

Answer:

A

Step-by-step explanation:

4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

Answer:

[tex](f+g)(x)=5x+5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=3x+2[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]

Answer:

i think it would be 45

hope im right

if not i can change it

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

The circle is divided into 8 equal arcs, each arc measuring an angle of:

360/8 = 45°

Hope this helps

The first appointment for both doctors starts at 8:30am.

Next appointment that they start at same time.

For the same time same time take LCM of 20 and 35.

20= 2x2x5

35= 5×7

hcm (20,35) = 2X2X5X7 = 140

They will take appointment after 140 minutes. 1.e. 2 hours 20 minute.

so, next appoitment will be 10:50a.m.

The next time that they have an appointment start at the same time is at  10:50 a.m.

We are given that the first appointment for both doctors starts at 8:30am while the Next appointment also started at same time but Doctor Jones starts his every 20 minutes while Doctor Warholm starts his every 35 minutes.

For the same time, take LCM of 20 and 35.

20 = 2 * 2 * 5

35 = 5 * 7

HCM (20, 35) = 2 * 2 * 5 * 7

HCM (20, 35) = 140

Hence, it will take the appointment after 140 minutes which equals to 2 hours 20 minute.

Now, from 8.30 am, the addition of the 2 hours 20 minute gives us 10:50 a.m which is the next time that they have an appointment start at the same time.

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Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225[tex])^{2}[/tex] + (–425[tex])^{2}[/tex]+ (–275[tex])^{2}[/tex] + (325[tex])^{2}[/tex] + (75[tex])^{2}[/tex]+ (–75[tex])^{2}[/tex] = 423,750

(650[tex])^{2}[/tex] + (–150[tex])^{2}[/tex] + (–600[tex])^{2}[/tex] + (250[tex])^{2}[/tex] + (150[tex])^{2}[/tex] + (–300[tex])^{2}[/tex] = 980,000

(250[tex])^{2}[/tex] + (–400[tex])^{2}[/tex] + (–250[tex])^{2}[/tex] + (350[tex])^{2}[/tex] + (100[tex])^{2}[/tex] + (–50[tex])^{2}[/tex] = 420,000  

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 +  (-400)^2 +  (-250)^2 +  (350)^2 +  (100)^2 +  (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

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Answer:x=-15

Step-by-step explanation:

2x+35-5=0

-35 +5. -35 +5

2x=-30

/2 /2

X=-15

Answer:

20.3

Step-by-step explanation:

6x+2+56=180

    -2 -56  -58

6x= 122

/6    /6

x=20.3

Answer:

A. Variable

B.  Unit Rate

C. Inverse Operations

D.System of linear equations

[tex]\dfrac{x-2}3 +\dfrac 16 = \dfrac 56 \\\\\implies \dfrac{x-2}3 = \dfrac 56 - \dfrac 16\\\\\implies \dfrac{x-2}3= \dfrac 46\\ \\\implies \dfrac{x-2}3 = \dfrac 23\\\\\implies x -2=2\\\\\implies x =2+2 = 4\\\\\text{Hence, the value of x is 4.}[/tex]

Answer:

150metres by 100metres

Answer:The square below represents one whole.

What percent is represented by the shaded area?

Step-by-step explanation:

Answer:

Step-by-step explanation:

10/7 x 9/8 = 90/56 = 45/28.

7/9 x 8/10 = 56/90 = 28/45

If you want to multiply these, the answer is (28*45) / 28/45) = 1.

Answer:

((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024

fraction: 7323689 / 6250000

decmal:1.17179024

The area of the parallelogram is equal to 101716 ft².

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides of a parallelogram are equal and parallel.

You can find the parallelogram area from two formulas:

The question gives: the length of both sides (170 ft and 650 ft) of the parallelogram and the angle between these sides (113°).

Thus, you can apply the formula: A= a*b* sin(Θ). Therefore:

A= 170 * 650* sin (113°)

A=101716 ft²

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Answer:

ab/3

Step-by-step explanation:

I don't really know how to explain.

Μα†hway

hope this helps!

Answer:

[B] 1/25

Step-by-step explanation:

From the given:

There are letter tiles in a bag. Four A’s, five B’s, six C’s and five D’s. You select one tile, replace it, and then draw another.

To Find:

P( A and A)=______

Solution:

Since it given that:

Four A’s, five B’s, six C’s and five D’s.

Thus we have:

A,A,A,A,B,B,B,B,B,C,C,C,C,C,C,D,D,D,D,D

Total number of letters tiles = 20

Probability of selecting A = 4/20  = 1/5

Probability of selecting A  = 4/20 = 1/5

P( A and A)= 1/5 × 1/5 = 1/25

Thus, the answer is [B] 1/25

Kavinsky

Answer:

941.33 in^2.

Step-by-step explanation:

The area of a semicircle = 1/2 area of circle = 1/2 * 3.14 * radius^2.

The radius = 1/2 * 26 = 13 in.

Total area = area of square + area of semicirccle

= 26^2 + 1/2 * 3.14 * 13^2

= 676 + 265.33

= 941.33 in^2.

Answer:

6

Step-by-step explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!

Answer:

PR = 6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )

[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Answer:

82 yd²

area of rectangle:

Length * Width

area of 2nd rectangle

area of triangle

total: