Answer
A)75
B)65
C)60
D)70

First, let's graph the complex number:

The trigonometric form will be given by:

The angle θ here is 225° (5π/4), the r-value will be

Now we have the trigonometric representation:

Therefore the correct answer is the letter D.

Answer:

A

Step-by-step explanation:

an asymptote is a tangent to the function out in infinity (+ or -, x or y). a line that stands for the limit the function tends toward but will never reach (hence "infinity").

A is the right answer, because x²+16 never turns 0, so there is no break to "infinity" anywhere, and the function is continuous. and both numerator and denominator are polynomials of 2nd degree. so, for larger and larger x both get closer and closer to each other with the limit being x²/x² = 1.

so the horizontal asymptote is y = 1.

for a better understanding of the subject matter let's look at the other answer options, and why they are wrong.

B

it has the same limit 1 for larger and larger x, but because of x²-16 in the denominator it is not a continuous function.

at x = +4 and x = -4 this turns the denominator 0, which creates 2 undefined points and therefore 2 breaks in the function.

C

is ultimately a line function. it is a x² polynomial divided by a x polynomial, resulting in a x polynomial. a line has no asymptote.

D

this is kind of the opposite of C.

it is a x polynomial divided by a x² polynomial, resulting in a 1/x polynomial expression.

the limit of 1/x for larger and larger x is 0 and not 1.

A residual is the difference between "the measured and predicted values of the quantity of interest".

In regression analysis, a residual would be the difference between an observable and anticipated value.

The formula is;

Residual = Observed value – Predicted value

Some key features regarding the residuals are-

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Answer: 95,400?

i think this is the closest answer

If a=4, b= 7, and B= 75°, the area of triangle ABC is approximately 13.476 square units.

To find the area of triangle ABC given the values of a, b, and B, we can use the formula:

Area = (1/2) * a * b * sin(B)

where a and b are the lengths of two sides of the triangle and B is the angle between them, measured in degrees.

Substituting the given values, we get:

Area = (1/2) * 4 * 7 * sin(75°)

Using a calculator to evaluate the sine of 75°, we get:

Area = (1/2) * 4 * 7 * 0.96593

Area ≈ 13.476 square units

The formula for the area of a triangle involves using the length of two sides and the angle between them.

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Answer:

KM = 50 mm , ∠ K = 104°

Step-by-step explanation:

Note that KM = KL = 50mm ( congruent legs )

This indicates the triangle is isosceles with base angles congruent, both 38°

∠ K = 180° - (38 + 38)° = 180° - 76° = 104°

Answer:

So the answer is 398°

Step-by-step explanation:

hope it helps

Answer:

hope it helps

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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The least possible value of "b" is 3. Hence, when "a = 2" and "b = 3," we satisfy all the given conditions. Thus, the least possible value of "b" is 3.

Let's analyze the given information:

The integer "a" has 3 factors: 1, "a," and one other factor.

The integer "b" has "a" factors.

"b" is divisible by "a."

From these conditions, we can deduce that "a" must be a prime number. This is because a prime number only has two factors: 1 and itself.

Therefore, "a" must be the smallest prime number, which is 2. So, "a = 2."

Now, we need to find the least possible value of "b" given that "b" has 2 factors.

Since "b" has 2 factors, it can only be a prime number. The smallest prime number greater than 2 is 3.

Therefore, the least possible value of "b" is 3.

Hence, when "a = 2" and "b = 3," we satisfy all the given conditions. Thus, the least possible value of "b" is 3.

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Answer:

measure 2 =63

measure 3 =41

measure 4=76

measure 6=41

Step-by-step explanation:

Answer:

1.-7  

2.2  

3.-29

4. 9

5.-20

6.0

7.-1

8.3

9. -5

10.53

11.5

12.-15

Step-by-step explanation:

Answer:

1) -7

2) 2

3) -29

4) 9

5) -20

6) 0

7) -1

8) 3

9) -5

10) 53

11) 5

12) -15

i'd be happy to explain any

Step-by-step explanation:

B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.

Answer: P = 4x + 2, A = x² + x - 6

Step-by-step explanation:

       Perimeter is the distance around a shape, or all the sides added together. We will create an equation, plug in the known values, and then solve. The first step is to distribute, then we combine like terms.

   P = 2l + 2w

   P = 2(x + 3) + 2(x - 2)

   P = 2x + 6 + 2x - 4

   P = 4x + 2

       The area of a rectangle is found by multiplying the width by the length. We will use the FOIL method.

A = (x + 3)(x - 2)

A = x² + x - 6

First ➜ x * x = x²

Outside ➜ x * -2 = -2x

Inside ➜ 3 * x = 3x

Last ➜ 3 * -2 = -6

Add together ➜ x² + 3x - 2x - 6 = x² + x - 6

Answer:

it might be positive slope

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

okay so the equation would be y=10x+15

x is the # of hours and y is the total cost

this linear equation is in the form y=mx+b

in these equations, the value of m is the slope

since our m would be 10, the slope is 10

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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the minimum sample size required for this study is 105.

What is margin of error?

In statistics, the margin of error is the level of inaccuracy in the findings of surveys using random samples. A wider margin of error in statistics denotes a reduced likelihood of relying on a survey's or poll's findings, meaning that there will be less confidence in the results' ability to accurately reflect a community. It is a crucial tool for market research since it shows the amount of assurance that should be placed in survey data by the researchers.

A confidence interval is a measure of how unpredictable a given statistic is. It is typically used in conjunction with the margin of error to indicate how confident a statistician is in determining whether or not the findings of an online survey or online poll are worthy of representing the full population.

The formula to find the sample size :

\(n=p(1-p)(\frac{z^{*} }{E} )2\)

, where p= Prior estimate of population proportion.

z* =  Critical value.

E= Margin of error.

Given : Prior estimate of population proportion : p= 0.025

We know that  , the critical value for 95% confidence interval :

z*= 1.96

E= 3.5%=0.035

Then , the required minimum sample size :

\(n=(0.035)(1-0.035)(\frac{1.96}{0.035})2\\\)

  \(=(0.035)(0.96)(56)^2\)

105.3696≈105

i.e. n= 105

Hence, the sample size needed : n= 105

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Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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Answer:

Area of a rectangle = 42 square units

Step-by-step explanation:

Area of a rectangle = length times width.

l = (2c + 1)  when c = 3, the length = 2 · 3 + 1 ; l = 6 + 1 = 7

w = (3 + c) when c = 3, the width = 3 + 3; w = 6

Area of a rectangle = length times width

Area of a rectangle = 7 · 6

Area of a rectangle = 42 square units

11 km is approximately 6.835 miles.

To convert kilometers (km) to miles, you can use the conversion factor 1 mile = 1.60934 km. To convert 11 km to miles, you would divide 11 by 1.60934, which gives you 6.835 miles.The process of converting km to miles is simple, one needs to divide it by 1.60934. The result is 6.835 miles.

Kilometers and miles are both units of measurement for distance, but they are not interchangeable. Kilometers are commonly used in Metric system while miles are used in the imperial system in the United States and the United Kingdom.

It's important to keep in mind that when converting between different units of measurements, one should be careful as the conversion factors are different for different units of measurements.

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The pilot should release the bales approximately 440.8 meters in front of the cattle for them to land at the point where the cattle are stranded.

To determine how far in front of the cattle the pilot should release the bales of hay, we need to consider the horizontal distance traveled by the bales during their fall.

Since there are no horizontal forces acting on the bales (neglecting air resistance), the horizontal motion can be analyzed separately from the vertical motion.

Given:

The height above the ground when the bales are released: 120 m

The horizontal velocity of the airplane: 80.0 m/s

The time taken for the bales to fall from the release point to the ground can be found using the equation of motion for vertical free fall:

h = (1/2) × g × t²

where:

h is the vertical distance traveled (120 m in this case)

g is the acceleration due to gravity (approximately 9.8 m/s²)

t is the time taken for the fall

Rearranging the equation, we can solve for t:

t² = (2 × h) / g

t = sqrt((2 × 120) / 9.8) ≈ 5.51 s

Now, we can calculate the horizontal distance traveled by the bales during this time:

distance = velocity × time

distance = 80.0 m/s × 5.51 s ≈ 440.8 m

Therefore, the pilot should release the bales approximately 440.8 meters in front of the cattle for them to land at the point where the cattle are stranded.

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Answer: 90,000

Step-by-step explanation:

From the question, we are informed that in a local town, 54,000 families have incomes less than $25,000 per year. We are further told that this number of families is 60% of the families that had this income level 12 years ago.

To calculate the number of families who had incomes less than 25,000 per year 12 years ago goes thus:

Let the the number of families who had incomes less than 25,000 per year 12 years ago be represented by x.

Since we are told that this number of families is 60% of the families that had this income level 12 years ago. This means that:

60% of x = 54,000

60/100 × x = 54,000

0.6 × x = 54,000

0.6x = 54,000

Divide by 0.6

0.6x/0.6 = 54000/0.6

x = 90,000

The number of families who had incomes less than 25,000 per year 12 years ago was 90,000.

The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).

What is the simple definition of slope?

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Let the given point be (x1,y1).

slope be m.

we know that,

Line equation passing through point is:

y - y1 = m(x - x1)

where m = slope and (x1,y1) = given point.

Therefore The equation of a straight line passing through the given point and slope is  y - y1 = m(x - x1).

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Answer:

3/10

Step-by-step explanation:

Answer:

It is NOT a function because when putting a vertical line at a point of a graph it crosses 2 points.

Step-by-step explanation:

Answer:

\(y = -x -3\)

Step-by-step explanation:

⭐What is a property of a perpendicular line?

⭐What does "opposite reciprocal" mean?

⭐What is the equation of a line?

To create the equation of the perpendicular line, let's first find the slope of the perpendicular line.

The equation of the line the perpendicular line is perpendicular to is:

\(-x + y = 9\)

⭐ \(y = x + 9\)

The slope of the line the perpendicular line is perpendicular to is 1.

Therefore, the slope of the perpendicular line is -1.

Substitute the slope of the perpendicular line into the equation of the perpendicular line:

\(y = mx + b\)

\(y = -x + b\)

Now, we need to find the y-intercept of the perpendicular line.

To do so, substitute a point that we are given into the perpendicular line equation and solve for b.

I am going to use the point (-2,-1), because we are given this point.

\(y = -x + b\)

\(-1 = -(-2) + b\)

\(-1 = 2 + b\)

\(-3 = b\)

Therefore, the y-intercept of the perpendicular line is -3.

Substitute the value of the y-intercept into the equation of the perpendicular line:

\(y = -x -3\)

∴The equation of the perpendicular line is \(y = -x -3\)

In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].

What is an equation?

A movie ticket cost $4.25 in 1990.

The inflation rate is about 3.5%

Rate increased ,r=100%+3.5%=103.5%=1.035

equation generated is,

y=4.25[(1.035)^x]

Solving the equation for each year, we get the following data:

Tabulating the data

Year         cost

1990         4.25

1991          ....

....              ....

1998          5.5964~ 5.6

In the year 1998, the will be greater than $5.50.

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The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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