Explain how you can use compatible numbers to estimate the quotient of 925/29.

Answers

Answer 1

Answer:

Answer: the corrects answer is 31

Step-by-step explanation:

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Select all the equations where b = 11 is a solution. I need the answer quickly please.

Write the complex number 4(cos 60 + i sin 60) in standard form 10. Use DeMoivre's Theorem to find (2+3i)6

Answers

Answer:

a) The standard form of $z = 4\cdot (\cos 60^(\circ)+i\cdot \sin 60^(\circ))$ is $z = 2 + i\cdot 2√(3)$ , b) $z = (2+i\cdot 3)^(6) = 1219.585 + i \cdot 1829.381$ .

Step-by-step explanation:

a) The standard form of the complex number is $z = a + i\cdot b$ , $\forall \,a,b \in \mathbb{R}$ . If we get that $z = 4\cdot (\cos 60^(\circ)+i\cdot \sin 60^(\circ))$ , whose standard form is obtained by algebraic means:

1) $z = 4\cdot (\cos 60^(\circ)+i\cdot \sin 60^(\circ))$ Given

2) $z = (4\cdot \cos 60^(\circ))+i\cdot (4\cdot \sin 60^(\circ))$ Distributive and Associative properties.

3) $z = 2 + i\cdot 2√(3)$ Multiplication/Result.

The standard form of $z = 4\cdot (\cos 60^(\circ)+i\cdot \sin 60^(\circ))$ is $z = 2 + i\cdot 2√(3)$ .

b) The De Moivre's Theorem states that:

$z = (a+i\cdot b)^(n)= r^(n)\cdot (\cos \theta + i\cdot \sin \theta)$

Where:

$r =\sqrt{a^(2)+b^(2)}$ and $\theta = \tan^(-1) \left((b)/(a)\right)$ .

If we know that $z = (2+i\cdot 3)^(6)$ , then:

$r = \sqrt{2^(2)+3^(2)}$

$r =√(13)$

$r \approx 3.606$

$\theta = \tan^(-1)\left((3)/(2) \right)$

$\theta \approx 56.310^(\circ)$

The resulting expression is:

$z = 3.606^(6)\cdot (\cos 56.310^(\circ)+i\cdot \sin 56.310^(\circ))$

$z = 1219.585+i\cdot 1829.381$

Therefore, $z = (2+i\cdot 3)^(6) = 1219.585 + i \cdot 1829.381$ .

1, 3, 7, 9 whats next ?

Answers

Maybe 13... because it goes +2 then +4 then +2 so next it would be +4

11? We need more of an explanation to understand your question.

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Answers

Answer:

18 = number of players

Step-by-step explanation:

Giving the following information:

Members of a softball team raised $2039.50 to go to a tournament. They rented a bus for $1157.50 and budgeted $49 per player for meals.

To calculate the total number of players they can bring, we need to use the following formula:

Total amount of money= fixed cost + unitary variable cost*number of players

2,039.5= 1,157.5 + 49*number of players

882/49= number of players

18 = number of players

The team can bring a maximum of 18 players to the tournament given the amount they raised and the budgeted expenses.

Let's use "x" to represent the number of players the team can bring to the tournament.

The total amount raised by the team is $2039.50,

and they rented a bus for $1157.50. Each player's meal will cost $49.

The total amount spent on the bus and meals for x players can be represented as follows:

Total Expenses = Bus Cost + (Number of Players) * (Cost per Player's Meal)

= $1157.50 + x * $49

Since the team's total expenses should not exceed the total amount raised,

$2039.50 ≥ $1157.50 + x * $49

$2039.50 - $1157.50 ≥ x * $49

$882 ≥ x * $49

Now, divide both sides by $49 to solve for x:

x ≤ $882 / $49

x ≤ 18

So, the team can bring a maximum of 18 players.

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According to the graph, what is the value of the constant in the equationbelow?
25+
(3.25)
Height
Constant
Width
20 +
15
(5, 15)
Height
10
(15,5)
(25,3)
10
15
20
25
Width
O A. 5
B. 100
O c. 10
O D. 75

Answers

The value of the constant in the equation below is 100. So, the correct option is (C).

What is Height?

Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.

Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.

Height equation: H= C/W

where, H is the height, C is the constant and W is the width.

We choose a point given in the graphic, I will choose (4,25), which means that when W=4 and H=25 . We use this to find the constant. So

25=C/3

C= 100

Thus, the value of the constant in the equation below is 100. So, the correct option is (C).

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Answer:The Answer is C

Step-by-step explanation:

Find the midpoint of the segment with the endpoints: (-2, 6) and (-3, 7)

Answers

Answer:

The midpoint is ( -2.5, 6.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(-2+-3)/2 = -5/2 = -2.5

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(6+7)/2 = 13/2 = 6.5

The midpoint is ( -2.5, 6.5)

Coopers & Lybrand surveyed 210 chief executives of fast-growing small companies. Only 51% of these executives had a management succession plan in place. A spokesperson for Cooper & Lybrand said that many companies do not worry about management succession unless it is an immediate problem. However, the unexpected exit of a corporate leader can disrupt and unfocus a company for long enough to cause it to lose its momentum. Use the data given to compute a 92% confidence interval to estimate the proportion of all fast-growing small companies that have a management succession plan.

Answers

Answer:

92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.

(0.46154 , 0.558)

Step-by-step explanation:

Given sample size 'n' = 210

The sample proportion 'p' = 51% = 0.51

Confidence intervals are determined by

$(p^(-) - z_(\alpha ) \sqrt{(p^(-) (1-p^(-) )/(n) } , p^(-) +Z_(\alpha ) \sqrt{(p^(-) (1-p^(-) ))/(n ) } )$

The 92% of z-score value

$Z_{(\alpha )/(2) } = Z_{(0.08)/(2) } = Z_(0.04) = 1.405$

92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.

$(0.51 - 1.405 \sqrt{(0.51 (1-0.51 )/(210) } , 0.51 +1.405 \sqrt{(0.51 (1-0.51))/(210 ) } )$

on calculation , we get

(0.51-0.048 , 0.51 + 0.048)

(0.46154 , 0.558)

Final answer:-

92% Of confidence intervals to estimate the proportion of all fast-growing small companies that have a management succession plan.

(0.46154 , 0.558)

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