convert [tex]\sqrt3 + i[/tex] to polar form

Answer:

The final answer is 16.

Gd luck with your work! :)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+y

=2(2)+1

=4+1

=5

Answer:

5

Step-by-step explanation:

Sub x=2, y = 1

2(x) + y = 5

2(2) + 1 = 5

Answer:

1,2, and 5

Step-by-step explanation:

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

We have,

The function h(t) = -2(t - 3)2 + 23 represents the height, in feet, t seconds after a volleyball is served.

Let's analyze each statement:

The volleyball reached its maximum height at 3 seconds.

This statement is correct.

The function h(t) is a quadratic function, and its graph is a parabola that opens downwards.

The vertex of the parabola represents the maximum height of the volleyball.

In this case, the vertex occurs when t = 3 seconds.

The maximum height of the volleyball was 23 feet.

This statement is also correct.

We can see from the function that the maximum height occurs at t = 3 seconds, and substituting t = 3 into the function gives:

h(3) = -2(3 - 3)2 + 23 = 23 feet.

If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.

This statement is incorrect.

To find when the volleyball hits the ground, we need to find when h(t) = 0. Solving -2(t - 3)2 + 23 = 0 gives t = 3 ± √(23/2).

Since the vertex is at t = 3 seconds, the volleyball will hit the ground at the same height it was served, which is h(0) = -2(0 - 3)2 + 23 = 5 feet.

So the time it takes for the volleyball to hit the ground is when h(t) = 0, which occurs at t = 3 ± √(23/2), not 5.5 seconds.

The graph that models the volleyball's height over time is exponential.

This statement is incorrect.

The function h(t) is a quadratic function, not an exponential function.

The volleyball was served from a height of 5 feet.

This statement is also incorrect.

The function h(t) gives the height of the volleyball above the ground, not above the height it was served.

However, we can see from the function that h(0) = -2(0 - 3)2 + 23 = 5 feet, so the volleyball was served from a height of 5 feet above the ground.

Thus,

The statements about the function that are correct are:

The volleyball reached its maximum height at 3 seconds.
The maximum height of the volleyball was 23 feet.

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There are 8 possible spaces that the spinner can land on. Of those,  the options are 0, 1, 2, or 3.

There is one space that has 0 in it = 1 / 8 = 0.125

There are two spaces that have 1 in them = 2 / 8 = 0.25

There is one space that has 2 in it = 1 / 8 = 0.125

There are four spaces that have 3 in them = 4 / 8 = 0.5

Hope this helps!

Answer:

for 1 is -3

Step-by-step explanation:

Answer:

The hieght should be 3 cm

Step-by-step explanation:

We can put it into an equation form:

6⋅2⋅x=36

Then solve from there!

Hope this helps!!

Answer:

Yo I was going to answer this question but I assume there is a mistake I think your teacher meant the length of the box is 6cm if not the answer is 6 cm high if so and there's a mistake then the answer is 3 cm high.

Step-by-step explanation:

Answer:

400ml

Step-by-step explanation:

1 cooler=28L÷7=4L

1L=100ml

4L=400ml(Ans)

Using the normal distribution, it is found that there is a 0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the proportion and the sample size are of p = 0.2 and n = 100, respectively, hence:

[tex]\mu = p = 0.2[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.2(0.8)}{100}} = 0.04[/tex]

The probability that in a random sample of 100 M&M candies, there are between 18% and 22% orange candies is the p-value of Z when X = 0.22 subtracted by the p-value of Z when X = 0.18, hence:

X = 0.22:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.2}{0.04}[/tex]

Z = 0.5

Z = 0.5 has a p-value of 0.6915.

X = 0.18:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.18 - 0.2}{0.04}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.3085.

0.6915 - 0.3085 = 0.383.

0.383 = 38.3% probability that the sample proportion is between 18% and 22%.

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Answer:

The definition of alternate interior angles is that those two angles are the same.

Therefore because they are the same you can set them equal to eachother

3x + 24 = 78 is true

3x = 54

x = 18

Just know the definitions, for instance 3 and 4 are the same, 2 and 5 are the same, 1 and 6 are the same

Answer:

Step-by-step explanation:

The degree of a polynomial is the variable (in this case 1 variable) raised to the highest power.

Look at the first term: 19x^9

The variable is x

The highest power is 9

So the answer is 9.

Answer:  b) 160 c) 1500

Step-by-step explanation: b) 50 + 50 + 30 + 30 = 160 c) 50 x 30 = 1500

Step-by-step explanation:

[tex]length \: of \: a \: field \: = 50m[/tex]

[tex]breadth \: of \: a \: field \: = 30m[/tex]

[tex]Perimeter \: of \: a \: field \: = ? [/tex]

We know,

Perimeter ( p ) = 2 ( l + b )

= 2 ( 50m + 30m )

= 2 × 80 m

= 160 m

The length of a wire required to fence it thrice

= 3 × 160 m

= 480 m

Area ( A ) = l × b

= 50 × 30 m

[tex] = {1500m}^{2} [/tex]

Answer:

968 is what they need and no they do not enough material

Step-by-step explanation:

What I always do on these questions is length times width and they need 536 more material

Answer:

1 L

Step-by-step explanation:

Kitchen sinks are pretty large in terms of volume in Liters

use the 1 L container

Answer:

50 times.

Step-by-step explanation:

When the 2 number cubes are rolled once:

The possible outcomes for a total of 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

= 6 outcomes.

The total of all possible outcomes = 6 * 6 = 36.

So Prob( total of 7 in one throw of teh 2 cubes) =  6/36 = 1/6.

For 300 throws you would expect the total of 7 to occur

1/6 * 300 = 50.

Answer:

Step-by-step explanation:

50 IS THE ANSWEr

Answer:

s = 38.1 billion

Step-by-step explanation:

x = 22    (2020-1998)

s = 1.5 x 22 +5.1

s = 38.1 billion

Answer:

x = -1

Step-by-step explanation:

The distribution of the cars is an illustration of percentages

The main street has 100 or more cars per hour for 66.7% of the time

The dataset is given as:

20 60 100 140 180 120

From the above dataset, we have:

The percentage is then calculated as:

Percentage= 4/6 * 100%

Evaluate the product

Percentage= 66.7%

Hence, the main street has 100 or more cars per hour for 66.7% of the time

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Answer:

y = - 1/2 x + 1

Step-by-step explanation:

Answer:

y = -1/2x + 1

Step-by-step explanation:

m, rise/run = (2 - 4)/(-2 + 6) = -2/4 = -1/2

b, y-intercept = (0, 1)

y = mx + b

y = -1/2x + 1

Answer:

X can be any of those numbers depending on which equation it is in

Step-by-step explanation:

The value of x given the perimeter of the square is 6.

The first step is to determine the perimeter of the square.

Perimeter of the square = 4 x length

4 x 2.5x = 10x yards

The perimeter of the triangle is equal to the sum of the three side lengths

2x + 4x - 2 + 2x + 14 = 10x

Combine similar terms

14 - 2 = 10x - 2x - 4x - 2x

Add similar terms

12 = 2x

Divide both sies by 2

x = 6

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Answer:

it is 6

Step-by-step explanation:

i did it in class and the teacher siad it ws right

Answer:

65 alojamiento

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

like pirates, the stars were their navagation

Answer:

the monthly payment would be 836.22

Step-by-step explanation:

you would find the loan amount which is 190,000 -10% of 190,000 which is 190,000 - 19,000=171,000

then you put the numbers in on a calculator which im using a spreadsheets/ excel

you need to make sure that you divide 12 for the interest and multiply 12 to the 30 years to get the monthly value of them

Answer:

37.5% decrease

Step-by-step explanation:

To find a relative percentage you generally follow the rule of part divided by whole.

$100 / $160 = .625 (62.5%)

So $100 is 62.5% of $160

To find the decrease we need to subtract 62.5% from 100%

100 - 62.5 = 37.5

Answer:

A

Step-by-step explanation:

In an inscribed quadrilateral, opposite angles are supplementary.

An exterior angle of a quadrilateral is supplementary to the adjacent interior angle.

Since the exterior angle is supplementary to both the adjacent interior angle and to the opposite interior angle, the exterior angle and the opposite interior angle are congruent.

Answer: A

Answer:

No real solutions

Step-by-step explanation:

Discriminant

[tex]b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0[/tex]

[tex]\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real solutions}[/tex]

[tex]\textsf{when }\:b^2-4ac=0 \implies \textsf{one real solution}[/tex]

[tex]\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real solutions}[/tex]

Given equation:  [tex]6x^2+6x+3=0[/tex]

[tex]\implies a=6, \quad b=6, \quad c=3[/tex]

Inputting these values into the discriminant:

[tex]\implies (6)^2-4(6)(3)=-36 < 0\implies \textsf{no real solutions}[/tex]

Answer:

First start with the factors

(3x+5)(3x+5)(6x-1) The multiplicity of 2 means there are 2 of that same factor.

Next, figure out how to get it to go through the point (0,50) Plug in these points, solve for a

50=a(3(0)+5)(3(0)+5)(6(0)-1)

50=a(5)(5)(-1)

50=-25a Divide both sides by -25

-2=a Plug this in

y=-2(3x+5)(3x+5)(6x-1) Now multiply the factors out. Will start by FOILING the first 2 factors

y=-2(9x2+30x+25)(6x-1) Now multiply the remaining factors together

y=-2(54x3+180x2+150x-9x2-30x-25) Combine like terms

y=-2(54x3+171x2+120x-25) Distribute the -2

y=-108x3-342x2-240x+50

Answer:

Blue label

Step-by-step explanation:

All that matters here is # of bottles sold * profit per bottle.

If you multiply these 2 values for each row you will see the blue label has the highest amount of profit.

Among all the product ranges blue label generated the most profit of $5625.

Profit is basically the difference between the total revenue and the total cost of the product.

Profit=Total Revenue- Total cost.

We know that Average profit= total profit/ number of units.

So the profit will be as average profits* number of units.

So the profit of product ranges will be =average profit * number of bottles.

Profit of red label=1.12*3000

=$3360

Profit of black label=1.5*2000

=$3000.

Profit of gold label=2.75*1000

=$2750

Profit of white label=1.20*2750

=$3300

Profit of blue label=2.25*2500

=$5625.

Hence among all the product ranges blue label has generated maximum profit.

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