Convert the complex number to polar form. 8 + 8√3i Give your answer in r(cos(theta) + i sin(theta)) form

The value of x on the boundary line and the x axis is found as 4.

For the given question,

The graph of inequality  x-2y ≤ 4 is drawn.

Consider the graph,

The straight lien formed by the graph touches the x coordinate axis at (4,0).

Thus, the value of x on the boundary line and the x axis is found as 4.

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Our new measures of central tendency and spread are Mean: (9+9+13+15+19)/5=13(9+9+13+15+19)/5=13.

acc to our question-

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Noote that the measure of angle R is 27°. Here is how we got that.

Since the largest triangle is right triangle, the vertical segment is the perpendicular bisector of right angle with vertex at the center of circle.

Then we have

m∠R + 18° = 90°/2

m∠R + 18° = 45°

m∠R = 45° - 18°

m∠R = 27°

Note that the angle on the top of the triangle is right angle, 90 deg. Its altitude is the vertical segment, which is also angle bisector. It bisects the right angle and each formed angle measures 90/2 = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached iamge.

Answer:

No, because 4/8*2= 8/16

And 8/16 is greater than 5/16

Answer:

The statement is false.

Step-by-step explanation:

The easiest way to answer this question is to make both fractions have the same common denominator.  In this case, we should alter the first fraction to have a denominator of 16 so that it matches the second fraction.  To do this, we should multiply both the numerator and the denominator of the fraction by 2 (this is the same as multiplying by 1, which does not change the value of the fraction).  This is modeled below:

4/8 * 2/2 = 8/16

Now, we can plug this value back into our original statement.

8/16 < 5/16

From comparing the numerators, we know that 5 is NOT greater than 8, so the statement is false.

Hope this helps!

Answer:

II and III

Step-by-step explanation:

Parallel lines have the same gradient, they will have the same coefficient in front of x

II: 2x + 3y = 6 needs to be rearranged to 3y = -2x + 6 and then y = -2/3x + 2: the gradient is -2/3

III: y - 8 = -2/3(x - 3) needs to expanded so y - 8 = -2/3x + 2 and then y = -2/3x + 10: again, the gradient is -2/3

The two lines are parallel because both gradients are -2/3

Hope this helps!

Answer:

A) no

B) yes

C) no

D) yes

E) yes

Step-by-step explanation:

Answer:

$4.16

Step-by-step explanation:

To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:

Therefore, for 8 ounces of yogurt is will cost $4.16.

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height of the cone. In this case, the radius is given as 6 and the height is 8. Therefore, the volume of the cone with a radius of 6 and height of 8 is approximately 1204.75 cubic units.

So, V = (1/3)π(6^2)(8)
   = (1/3)π(36)(8)
   = (1/3)(1152π)
   = 384π.

Now, using 3.14 for π and rounding to the nearest hundred, we get: V ≈ 1204.75 cubic units.

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Answer:

NO

1,2,3,6

Step-by-step explanation:

THOSE ARE CORRECT

√8=2.8

Answer:

c

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Step 1: Find the sale price

First, we have to find the price it was sold for.

\(\longmapsto\) 5/4 of 800 = 5/4 * 800

\(\frac54 * 800 = \\\\\frac{4000}{4} = 1000\\\\\)

The article was sold for rs. 1000

Step 2: Finding the percentage

To find the percentage, we have to divide the sale price over the cost of the article

\(\frac{1000}{800} = \frac54 = 1.25 = 125percent\)

The cost of the article is 100% or 1

\(1.25 - 1 = 0.25 - or- 25percent\)

25%

-Chetan K

Chelsea's total return (profit) when the bond is redeemed at maturity is $50.

Chelsea paid for the bond with the 3% discount:

Discount = 3% of $5,000

= $150

Price paid for the bond = $5,000 - $150

= $4,850

Next, let's calculate how much Chelsea will receive in each semiannual payment:

Semiannual interest rate = 3% / 2

= 1.5%

Semiannual payment = Face value x Semiannual interest rate = $5,000 x 1.5% = $75

Since there are eight semiannual payments, Chelsea will receive a total of:

Total semiannual payments = Semiannual payment x Number of semiannual payments = $75 x 8 = $600

Finally, let's calculate the total return (profit) when the bond is redeemed at maturity:

Total interest earned = Annual interest rate x Term x Face value = 3% x 4 x $5,000 = $600

Face value at maturity = $5,000

Total return = Price paid + Total interest earned + Total semiannual payments - Face value at maturity

Total return = $4,850 + $600 + $600 - $5,000 = $50

Therefore, Chelsea's total return (profit) when the bond is redeemed at maturity is $50.

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Answer:

Step-by-step explanation:

a) 4x² + 20 = 0

          4x² = -20

            x² = -20/4

            x² = -5 = i² *5

             x = √i²5

            x = i√5

b) 4x² + 5 = -7

        4x² = -7 - 5

       4x² = - 12

          x² = -12/4

         x² = -3 = 3i²

        x = i√3

c) x² + 4x + 20 = 0

a = 1 ; b =4  ; c =20

\(x = \frac{-b+\sqrt{b^{2}-4ac}}{2a} and \frac{-b-\sqrt{b^{2}-4ac}}{2a};\\\\x = \frac{-4+\sqrt{16-4*1*20}}{2*1} and\frac{-4-\sqrt{16-4*1*20}}{2*1}\\\\=\frac{-4+\sqrt{16-80}}{2} and \frac{-4-\sqrt{16+80}}{2}\\\\=\frac{-4+\sqrt{-64}}{2} and \frac{-4-\sqrt{64}}{2}\\\\= \frac{-4+8i}{2} and\frac{-4-8}{2}\)

  = (-2 +4i)  & -12/2

  = (-2 + 4i) and (-6)  

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

Answer:

\( \displaystyle A _{ \text{vinyl record }} \approx 490 {cm}^{2} \)

Step-by-step explanation:

we are given the circumstances of a vinyl record

we want to figure out the area

in order to do so we should figure out redious first

recall that,

\( \displaystyle \rm C = 2\pi r\)

given that, C=78.5

thus substitute:

\( \displaystyle \rm 78.5= 2\pi r\)

divide both sides by 2π:

\( \displaystyle r = \frac{78.5}{2\pi} \)

we have figured out r now we'll figure out the area

remember that,

\( \displaystyle A _{ \text{circle}} = \pi {r}^{2} \)

substitute the value of r

\( \displaystyle A _{ \text{vinyl record }} = \pi { \bigg(\frac{78 .5}{2\pi} \bigg)}^{2} \)

by using calculator we acquire

\( \displaystyle A _{ \text{vinyl record }} = 490 {cm}^{2} \)

Answer:

i think its between 2-5

Step-by-step explanation:

The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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For the limit lim n→[infinity] n exi3 + xi Δxi = 1 on the interval [0, 9], the limit is equivalent to the definite integral integral_0⁹ ex³ + x dx. Similarly, for the limit lim n→[infinity] n xi6 + xi3 Δxi = 1 on the interval [2, 8], the limit is equivalent to the definite  integral_2⁸ x⁶ + x³ dx.

For the first problem:

We have the limit lim n→[infinity] n exi3 + xi Δxi = 1 on the interval [0, 9].

We can rewrite this limit as a definite integral using the formula:

integral_a^b f(x) dx = lim_n→[infinity] ∑[i=1 to n] f(xi) Δxi

where Δxi = (b-a)/n is the width of each sub-interval, and xi is any point in the ith sub-interval [xi-1, xi].

Using this formula, we have:

lim n→[infinity] n exi3 + xi Δxi = integral_0⁹ ex³ + x dx

For the second problem:

We have the limit lim n→[infinity] n xi6 + xi3 Δxi = 1 on the interval [2, 8].

Using the same formula as before, we have:

lim n→[infinity] n xi6 + xi3 Δxi = integral_2⁸ x⁶ + x³ dx.

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Answer: Let's use "x" to represent the number of electoral votes in Florida. Then, we can write the equation for North Carolina's number of electoral votes as "x - 12".

The equation can then be written as:

x + (x - 12) = total number of electoral votes

Solving for x, we get:

2x - 12 = total number of electoral votes

2x =total number of electoral votes + 12

2x = total number of electoral votes + 12

x = (total number of electoral votes + 12)/2

So, the number of electoral votes for Florida is (total number of electoral votes + 12)/2.

Note: The total number of electoral votes for both states needs to be known in order to solve for the number of electoral votes in Florida.

Step-by-step explanation:

Answer: Luis started by adding 4.8b to both sides

Step-by-step explanation:

4.8 is a positive number so therefore it should be subtracted from both sides to make the right side be empty in that position.

Answer:

13a² + 5

Step-by-step explanation:  

Not 100% but 90% sure. Work on Picture.

Ke'Andre will be 14 units high after 1 second based on the given equation f(x) = -16x^2 + 24x + 6.  

His high dive jump is modeled by equation : f(x) = -16x^2 + 24x +6. To determine how high Ke'Andre will be after 1 second, we need to evaluate the equation f(x) = -16x^2 + 24x + 6 by substituting x = 1.

Plugging in x = 1 into the equation f(x) = -16x^2 + 24x + 6, we have:

f(1) = -16(1)^2 + 24(1) + 6

    = -16 + 24 + 6

    = 14

f(1) = 14

Therefore, Ke'Andre will be 14 units high after 1 second.

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A one-sample t-test was conducted to determine if the temperature increased in the first week of October 2019 compared to the average temperature from the previous 10 years. The result showed a p-value of 0.032, indicating a significant increase in temperature.

To determine if there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years, we can conduct a one-sample t-test with a null hypothesis that the population mean temperature this year is equal to the average temperature data from the previous 10 years (75) and an alternative hypothesis that the population mean temperature this year is greater than 75.

Using a statistical software, the calculated t-value is 2.17 with a corresponding p-value of 0.032. Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is evidence to show that the temperature has increased this year compared to the average temperature data from the previous 10 years. The p-value of 0.032 indicates that the probability of observing a sample mean temperature as extreme as 79.29 (the calculated sample mean temperature this year) or greater, assuming that the population mean temperature is equal to 75, is 0.032.

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The number of students who speak neither Hausa nor Igbo in the class is given by (f + 1), where f represents the number of students who speak both languages.

The number of students in the class = 60

The number of students who speak Hausa = 40

The number of students who speak Igbo = 19

The number of students who speak both Hausa and Igbo = f

Now, we need to find the number of students who speak neither Hausa nor Igbo. This can be done using the formula for finding the number of elements in the union of two sets:

n(A U B) = n(A) + n(B) - n(A ∩ B)

Where:

n(A U B) represents the number of elements in the union of A and B

n(A) represents the number of elements in set A

n(B) represents the number of elements in set B

n(A ∩ B) represents the number of common elements in sets A and B.

So, let's define the sets:

A = set of students who speak Hausa

B = set of students who speak Igbo

We have:

n(A) = 40

n(B) = 19

n(A ∩ B) = f

We can represent the number of students who speak neither language as n(A' ∩ B'), where A' and B' represent the complements of sets A and B, respectively.

n(A') represents the number of students who don't speak Hausa

n(B') represents the number of students who don't speak Igbo

n(A' ∩ B') represents the number of students who don't speak either language

We know that the total number of students is 60. So, we can find n(A') as:

n(A') = 60 - 40 = 20

Similarly:

n(B') = 60 - 19 = 41

So, n(A' ∩ B') = n(S) - n(A U B), where n(S) represents the total number of students.

Therefore:

n(A U B) = n(A) + n(B) - n(A ∩ B) = 40 + 19 - f = 59 - f

n(A' ∩ B') = n(S) - n(A U B) = 60 - (59 - f) = f + 1

Hence, there are (f + 1) students who speak neither Hausa nor Igbo.

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Answer:

1st markdown = ​$324

2nd markdown = ​$259.20

Step-by-step explanation:

current price = 360

1st 6 months = 10% down

                     = 90% of 360

                     = 324

2nd 6 month = 20% down of first 6 month

                      =  20% down of 324

                      =  80% of 324

                      = 259.20

Answer:

x^2 + 8x + 7

Step-by-step explanation:

We can see this expression as two distributive property expressions:

(x+7)(x+1) = x(x+1) + 7(x+1)

We can then expand and combine like terms:

(x^2 + x) + (7x + 7) = x^2 + 8x + 7

We have our final answer. I hope this helps! :)

The minimum value of the parabola for the equation y = x² + x - 11/2 is equal to -23/4.

Parabola equation is equal to,

y = x² + x - 11/2

Vertex of the parabola is equal to,

By using the formula for the x-coordinate of the vertex,

x = -b/2a

where a is the coefficient of the x² term,

And b is the coefficient of the x term.

Here,

a = 1 and b = 1

Vertex of the parabola is equal to,

x

= -1/(2×1)

= -1/2

This implies,

The corresponding y-coordinate of the vertex,

Substitute this value of x into the equation for y we have,

y = (-1/2)² + (-1/2) - 11/2

⇒ y = 1/4 - 1/2 - 11/2

⇒ y =( 1 -2 -22 ) /4

⇒ y = -23/4

Therefore, the minimum value of the parabola y = x^2 + x - 11/2 is -23/4 and it occurs when x = -1/2.

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If Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, Diandre completed 15 drills in 2 hours. The rate is 15/2

A unit rate is a cost for just one of something. This is expressed as a ratio with a denominator of 1. For instance, it is useful in large applications like finding the average speed.

Thus, if Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.

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Answer:

x= 0

Step-by-step explanation:

take the root of both sides and solve