PLEASE HELP IVE BEEN STUCK ON THIS ONE FOR QUITE A WHILE.
​

\(|\Omega|=6\cdot5=30\\|A|=4\cdot3=13\\\\P(A)=\dfrac{12}{30}=\dfrac{2}{5}=40\%\)

a = 41

b = 0

Given

-4 - 5i

The conjugate is:

-4 + 5i

Their product is:

(-4 - 5i)(-4 + 5i) = (-4)(-4) + (-4)(5i) - (5i)(-4) - (5i)(5i)

= 16 - 20i + 20i + 25

= 16 + 25

= 41

OR

41 + 0i

Where a = 41, b = 0

Answer:

ones place

Step-by-step explanation:

Because it is one of the last numbers and that's usually where the ones place is at.

The equation of the line with slope 4 that goes through the point (-3,0) is y = 4x + 12.

The equation of the line passing through the point (-3,0) with a slope of 4 can be found using the point-slope form of a line's equation:

y - y1 = m(x - x1)

where the provided point is (x1, y1), and m is the slope.

When we change the values, we obtain:

y - 0 = 4(x - (-3))

Making the right side simpler:

y = 4x + 12

Hence, y = 4x + 12 is the equation of the line with slope 4 passing through the point (-3,0).

To know more about Equation visit:

https://brainly.com/question/29657992

#SPJ9

Answer:

what you have is correct the last answer is 14. You just have to do 4 x 3.5 = 14

Answer: give me the context please

Step-by-step explanation:

Step-by-step explanation:

For the first one the equation is Y=2x+2 because look at rise over run which is 4/2 which is 4 divided by 2 which is 2

so the answer is Y=2x+2

The second one is, the points are (2,2) (3,3)

Answer:

\(\mathrm{a + 14 = b}\)

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation. The slope, m, is a measure of how steep a line is. The equation of a straight line that passes through a particular point and is inclined at a specific angle to the x-axis can be found using the point slope form. Every point on a line must satisfy the equation for the line in order for it to exist. This implies that a line is represented by a linear equation in two variables.

Given,

Equation

14x-20y=-13

In slope intercept form

13 + 4x = 20y

13 + 4y/20 = y

In slope intercept form, Equation 14x-20y=-13 can be written as 13 + 4y/20 = y.

To learn more about slope intercept form, visit:

https://brainly.com/question/9682526

#SPJ1

In 15 minutes, a water pump capable of pumping 13.2 gallons of water per minute will remove a total of 198 gallons of water from the pool.

If a water pump can pump 13.2 gallons of water in a pool every minute, we can calculate the amount of water it will remove in 15 minutes by multiplying the pumping rate by the duration. Therefore, 13.2 gallons/minute x 15 minutes = 198 gallons. During the 15-minute period, the water pump will continue to operate at a constant rate, removing water from the pool. Each minute, 13.2 gallons of water will be pumped out. When we multiply this rate by the duration of 15 minutes, we find that a total of 198 gallons of water will be removed from the pool. It's important to note that this calculation assumes a constant pumping rate without any interruptions or changes in efficiency.

learn more about efficiency here: brainly.com/question/10478611

#SPJ11

Answer:

6'0

Step-by-step explanation:

Answer:

The third number is two more than the second number, so it is x+2+2, or simply x+4. Solve for x by combining like terms. The first number is 2, the second is 4, and the third is 6. When we add them together, we have 2+4+6=12.

Answer:

2,4,6

Step-by-step explanation:

first consecutive even number is X , then X+ 2 and X+4

sum = X + X+ 2 + X +4 = 12 then solve

Answer:

Step-by-step explanation:

bearing is the angle which a line makes with the north.

Answer:

=774-26.3

=747.7

Step-by-step explanation:

hope you like my answer

747.7

It's easy.

You can do with calculator too.

The amount of the annual depreciation has been $90.

The statement provides us with the following data:

The yearly depreciation of the table saw can be calculated by subtracting the depreciated value from the original cost and dividing by the number of years.

Yearly depreciation = (Original cost - Depreciated value) / Number of years

Yearly depreciation = ($810 - $450) / 4

Yearly depreciation = $360 / 4

Yearly depreciation = $90

Therefore, the amount of yearly depreciation for the table saw is $90.

See more about depreciation at https://brainly.com/question/30319999

#SPJ11

Answer:

Step-by-step explanation:

Perimeter is all sides added together...

X+3+2x-1+3x+4

Combine like terms

X+2x+3x.. 6x

3-1+4.. 2+4.. 6

Answer:

6x+6

Answer:

abe = ebc

Step-by-step explanation:

bcos both the seperate angels have the same degree

Answer:

116.1

Step-by-step explanation:

supplementary-180

complimentary-90

180-63.9= 116.1

The area of the domain enclosed by the curve with parametric equations x = tsin t, y = cost, t ∈ [0, 2π] is 2π + 2.

The parametric equations given are:

x = t sin t
y = cos t

To find the area of the domain enclosed by the curve, we can use the formula for the area of a region bounded by a curve given in parametric form:

A = ∫[a,b] y dx

where a and b are the limits of the parameter t that describe the domain of the curve.

In this case, we have:

a = 0
b = 2π

So, we need to compute:

A = ∫[0,2π] cos(t) (t sin(t)) dt

Using integration by parts with u = t and dv = sin(t) dt, we get:

A = [t cos(t)]|[0,2π] - ∫[0,2π] cos(t) dt + ∫[0,2π] sin(t) dt

The first integral evaluates to:

[t cos(t)]|[0,2π] = 2π

The second integral evaluates to:

∫[0,2π] cos(t) dt = [sin(t)]|[0,2π] = 0

The third integral evaluates to:

∫[0,2π] sin(t) dt = [-cos(t)]|[0,2π] = 2

Therefore, the area of the domain enclosed by the curve is:

A = 2π - 0 + 2 = 2π + 2

To learn more about parametric equations go to:

https://brainly.com/question/29275326

#SPJ11

Cauchy's theorem states that if a prime number p divides the order of a finite group G, then G contains an element of order p. Therefore, there exists an element in G with order p.

To prove that G contains an element of order p if p divides |G|, we can use the fact that every finite group has a prime factorization of its order. That is, if |G| = p1^a1 * p2^a2 * ... * pk^ak, where p1, p2, ..., pk are distinct primes and a1, a2, ..., ak are positive integers, then G contains an element of order pi for each i.

Now, since p divides |G|, we can write |G| = p^m * n, where n is not divisible by p. By the prime factorization of |G|, we know that G contains an element of order p^m, say g. Note that the order of g is a power of p, and since p is prime, the only divisors of p^m are 1, p, p^2, ..., p^m.

Suppose now that the order of g is not equal to p. Then, we can write the order of g as p^k for some k < m. Since the order of g is a power of p, we know that g^p^(k-1) has order p. To see this, note that (g^p^(k-1))^p = g^(p^k) = e, the identity element. Moreover, if (g^p^(k-1))^q = e for some q < p, then g^(qp^(k-1)) = e, which contradicts the assumption that the order of g is p^k.

Therefore, we have found an element of G, namely g^p^(k-1), that has order p, as required.

Learn more about Cauchy's theorem here:

brainly.com/question/30890218

#SPJ11

Step-by-step explanation:

the rate of change is officially

(f(x2) - f(x1)) / (x2 - x1)

but for a line function (as we have here) this is totally easy : it is the slope of the line.

and that means it is the factor of x.

in our case this is -3/2.

because the slope of a line is the ratio "y coordinate change / x coordinate change". and that is exactly corresponding to the general rate of change definition above.

Answer: (f(x2) - f(x1)) / (x2 - x1)

because the slope of a line is the ratio "y coordinate change / x coordinate change".

Step-by-step explanation: HOPE IT HELPS YOU .THANKS .

Answer:

A

Step-by-step explanation:

using the rule of radicals

\(\sqrt{ab}\) = \(\sqrt{a}\) × \(\sqrt{b}\)

note that 0.231 × 100 = 23.1

given

\(\sqrt{23.1}\)

= \(\sqrt{100(0.231)}\)

= \(\sqrt{100}\) × \(\sqrt{0.231}\)

= 10 × k

= 10k

The value of √23.1 using the value √0.231 = k is 10k.

Thus, option (A) is correct.

Let's first find the value of "k" when √0.231 = k:

√0.231 = k

Now, the value of √23.1 using the value of "k":

√23.1 = √(10 × 2.31)

As √2.31 = k, substitute it in:

√23.1 = √(10 × 2.31)

         = √10 × √2.31

         = 3.162 × √2.31

Also, √2.31 = 1.52

So, the required value

√23.1 = 3.162 × 1.52

          = 4.807

let's check the given options to find the closest value to 4.807:

A. 10k = 10 × √0.231 = 4.807.

B. 0.1k = 0.1 × √0.231  = 0.04806

C. 100k = 100 × √0.231 = 48.06  

D. 20k = 20 × √0.231 = 9.6124

Therefore, The value of √23.1 is 10k.

Thus, option (A) is correct.

Learn more about Radical here:

https://brainly.com/question/151386

#SPJ4

Answer:

Rectangle has two(2) lines of reflections

A square has four(4) lines of reflections

Step-by-step explanation:

Lines of reflection also known as lines of symmetry ,

In a rectangle there are two( 2) lines of symmetry and they are found along the midpoints of the opposite side of the rectangle, while for A square there are four (4) lines of reflections which can be seen along the midpoint of  the opposite sides of the square and also along the midpoint of the opposite vertices of the square.

Answer:

a

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

y=mx+b

point (5,4)

x=5

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

To know more about equation here:

brainly.com/question/29292690

#SPJ11

Answer:

Mean: 1.7 and standard deviation 1.1.

Step-by-step explanation:

42% Of the poll workers are less than 60 years old. In other words, 58% of the poll workers are 60 years old: 1-0.42 = 0.58. So W is a geometric variable where the first "success" is poll worker who is at least 60years old.

Mean: 1/0.58 = 1.7241 poll workers, about 1.7 poll workers.

Standard deviation: sqr(1-p)/p = sqr(1-0.58)/0.58 = 1.1174 poll workers, about 1.1 poll workers.

The required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Given that,
During the last election, 42%, percent of the poll workers were under 60 years old. Let W be the number of poll workers Kiera contacts before reaching one that is 606060 years old or older.

The mean of the values is the ratio of the total sum of values to the number of values.

here,
42% of poll workers are under the age of 60. Also, 58% of poll workers are above the age of 60.
= 1 - 0.42 = 0.58.

So "W" is a geometric variable with the first success being a poll worker beyond the age of 60.

Mean =  1/0.58
         = 1.7 poll workers.

Standard deviation = √[(1-0.58)/0.58]
                             = 1.1 poll workers.

Thus, the required Mean and the standard deviation are given as 1.7  and 1.1 respectively.

Learn more about mean here:

https://brainly.com/question/15397049

#SPJ2

The probability that a randomly selected adult has an IQ less than 140 is approximately 0.9772 or 97.72%.

To find the probability that a randomly selected adult has an IQ less than 140, we need to calculate the z-score and then use the standard normal distribution table.

The z-score can be calculated using the formula:

z = (x - μ) / σ

In this case, x = 140, μ = 100, and σ = 20.

z = (140 - 100) / 20

z = 40 / 20

z = 2

Now, we can use the standard normal distribution table or a calculator to find the probability associated with a z-score of 2. Looking up the z-score of 2 in the table, we find that the probability is approximately 0.9772.

Know more about probability here:

https://brainly.com/question/31828911

#SPJ11

Answer:

Step-by-step explanation:

%change=100(final-initial)/initial

%change=100(1.2(0.8)ab-ab)/ab

%change=100(.96-1)

%change=-4%

So the product is decreased by four percent.

Answer:

c-270

Step-by-step explanation:

To rotate counterclockwise on a coordinate graph, 90 degrees would put you in quadrant I, so you continue 90 degree rotations until you get to quadrant III.

Hope this helps :)