Review the graph of z2.

On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point A is around (0.6, 0.4), Point B is (0.4, 0.6), point C is (negative 0.4, 0.6), point D is (negative 0.6, 0.4), and point z 2 is (0.1, 0.4).

Given z2 = One-half (cosine (StartFraction 2 pi Over 5 EndFraction) + I sine (StartFraction 2 pi Over 5 EndFraction) ), which lettered point represents z?

A
B
C
D

Answer:

19/28 or about 68%

Step-by-step explanation:

7 + 12 + 9 = 28

7 + 12/28

19/28

The required ratio of x to y is 5:8 for the given equations.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

The equations are given in the question, as follows:

4/y + 3/x = 44   ...(i)

12/y - 2/x = 44  ...(ii)

From equation (i), and isolate y,

4/y + 3/x = 44

y = - 4x/(3 - 44x)

Substitute the above value in equation (ii), and we get

12/{- 4x/(3 - 44x)} - 2/x = 44

Simplify the above equation, and we get

x = 1/8

Now, substitute the value x = 1/8 in equation (i),

4/y + 3/{1/5} = 44

Simplify the above equation, and we get

y = 1/5

So, the ratio of x to y as:

x:y = (1/8)/(1/5)

x:y = 5/8

Thus, the required ratio of x to y is 5:8

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Answer:

It's A, Because it makes the most sense in this algebra question.

Step-by-step explanation:

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

The equation of the graph of the function g(x) is -√(x-7).

Turns are frequently used to refer to reflection, which is when an object is flipped over a line without affecting its size or shape. The preimage is flipped over a line in a rigorous transition known as a reflection, but its size and shape are left unchanged. Flips is another name for reflections.

A figure can be translated if it is moved in any direction without altering its size, form, or orientation. A hard transformation called a translation alters the preimage's position but not its size, shape, or orientation. Slides are another name for translations.

Given that, f(x)= square root of x, that is:

f(x) = √x

Reflect the graph over x-axis we have:

Reflecting f(x) across the x-axis gives us -f(x) = -√x.

Translating -f(x) = -√x 7 units to the right gives us -f(x-7) = -√(x-7).

Hence, the equation of the graph of the function g(x) is -√(x-7).

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Di-ane plans to walk 6000 steps on day 100.

Given, Di-ane walks 5000 steps each day. She keeps her goal to increase the 10 number of steps. The increase has been modelled using the function.  

A re-lation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a re-lationship between inputs in which each input is connected to precisely one output.

We have to write what does f(100)=6000 represent.

As given in question the function represents the number of steps. and x represent the day.

100 represents the number 100th day, f(100)=6000 represents that Di-ane walks 6000 steps on the 100th day.

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Given that Tara and Pablo leave the park at the same time, but in opposite directions. If Pablo travels 9 mph faster than Tara and after 5 hours they are 105 miles apart, we have to find how fast each is traveling.

Let Tara's speed be x mph, and then Pablo's speed is (x + 9) mph. The distance between the two speeds after 5 hours is equal to 105 miles, and we are to find how fast each is traveling. Using the distance formula:
distance = rate × time
Distance traveled by Tara + Distance traveled by Pablo = Total distance
They are travelling in opposite directions so we need to add the speed of Tara and Pablo, which is (x + x + 9) mph, to get the total distance travelled. The distance traveled by Tara = rate × time = x × 5 = 5x miles.
The distance traveled by Pablo = (x + 9) × 5 = 5x + 45 miles
Total distance traveled = Distance traveled by Tara + Distance traveled by Pablo105 = 5x + 5x + 45
Combine like terms10x = 60Divide both sides by 1010x/10 = 60/10Simplifyx = 6Tara's speed is 6 mph, and then Pablo's speed is (6 + 9) mph, which is 15 mph. Tara's speed is 6 mph, and Pablo's speed is 15 mph.

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The probability that the fourth term in Jacob's sequence is an integer is 5/8  

Finding Probability :  

In Mathematics, Probability is defined as the ratio of the number of favorable outcomes and the total number of outcomes in a random experiment. It is denoted by P(E) and the formula for a probability of an event is given by  

Given that

Jacob uses a procedure to write down a sequence of numbers.

First, he chooses the first term to be 6.

He flips a fair coin. if it comes up heads, he doubles the previous term and subtracts 1.

If it comes up tails, he takes half of the previous term and subtracts 1

We can form a tree chart by following Jacobs's procedure as shown below  [ For more understanding observe the given picture ]

For 2nd term      

If the coin comes up head then it will be => 2(6) - 1 = 11

If the coin comes up tail then it will be => 6/2 - 1 = 3

then 2nd term will be 11 or 3

[ The above procedure follows up to 4th term ]

Here at 4th term number of outcomes = 8  [ from picture ]

The number of favorable outcomes (which gives an integer) = 5

From the above calculations,

The probability that the fourth term in Jacob's sequence is an integer

= 5 / 8  

Therefore,

The probability that the fourth term is an integer is 5 / 8  

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Answer:

Step-by-step explanation:

1/2b + 2 ≤ 8

b ≤ 12

Answer:

Step-by-step explanation:

Answer:It would be down.

Step-by-step explanation:

The volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L, calculated using the ideal gas law equation.

To compute this problem, we can use the ideal gas law, which states that PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

First, we need to convert the initial temperature of 25 °C to Kelvin:

T1 = 25 + 273.15 = 298.15 K

Next, we can rearrange the ideal gas law equation to solve for V2:

V2 = (P1 * V1 * T2) / (P2 * T1)

We have:

P1 = 1.08 atm (initial pressure)

V1 = 50.0 L (initial volume)

P2 = 0.855 atm (final pressure)

T2 = 10.0 °C (final temperature)

Converting the final temperature to Kelvin:

T2 = 10 + 273.15 = 283.15 K

Substituting the values into the equation:

V2 = (1.08 * 50.0 * 283.15) / (0.855 * 298.15)

V2 ≈ 42.81 L

Therefore, the volume of the helium-filled balloon at 0.855 atm and 10.0 °C will be approximately 42.81 L.

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The Lunar mission has discovered that The moon revolves around the Earth.  Thus, option (d) is correct.

Moon is the natural satellite of the earth that orbits around the earth in every 26 to 27 days. It is the fifth-largest celestial body of the solar system.

The passage between earth and moon is approximately 240,000 miles, that is  385,000 km. The Moon has an extremely thin atmosphere known as an exosphere.

The Luna missions were planned to collect data on the Moon and its atmosphere for scientific purposes, as well as to aid in the development of future lunar missions, including manned journeys to the Moon. The missions in the series featured flybys, lunar circling, and soft landings.

Therefore, it can be concluded that  option (d) is correct.

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The correct option is  B) increase.

To decrease sample error, a pollster must increase the number of respondents. The larger the sample size, the more representative it is likely to be of the target population, leading to a lower margin of error.

When conducting surveys or polls, it is essential to obtain responses from a diverse and random group of individuals. By increasing the number of respondents, the pollster can capture a broader range of perspectives, which helps to reduce sampling bias and increase the accuracy of the results.

For example, let's say a pollster wants to understand the political preferences of voters in a particular city. If they only survey 50 people, the sample may not accurately reflect the larger population, and the margin of error could be high. However, if they survey 500 or even 1000 people, the results are more likely to provide a reliable estimate of the overall population's preferences.

Therefore, to decrease sample error, pollsters should increase the number of respondents in their surveys or polls. This approach helps to ensure a more accurate representation of the population's views and minimize the potential for misleading or biased results.

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Answer:

c) ab/14

Step-by-step explanation:

\(\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}\)

multipling fractions rule is to multiply nominators and denominators separately

Answer:

B

Step-by-step explanation:

- 6x + 3 ≥ 21 ( subtract 3 from both sides )

- 6x ≥ 18

divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 3

Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

Answer:

-1 31/65

Step-by-step explanation:

I did this before trust me

Answer:

\( \sf \large - 1 \frac{31}{65} \)

Step-by-step explanation:

6 2/5/-4 1/3

6 2/5/−4 1/3

=32/5/−4 1/3

= 32/5 −13/3

=32/5/−13/3

=−96/65

= −1 /31/65

At first specify a codomain for each of the functions and discuss the conditions for them to be onto.

1. No students are using the same mobile phone number, not onto.
Codomain: Set of all possible mobile phone numbers.
This function would be onto if each mobile phone number in the codomain is assigned to at least one student.

2. Every student gets a unique identification number.
Codomain: Set of all possible unique identification numbers.
This function is onto since every student has a unique identification number, and all the identification numbers in the codomain are assigned to students.

3. Every student got different final grades than other classmates.
Codomain: Set of all possible final grades.
This function would be onto if each final grade in the codomain is assigned to at least one student. However, in a class with a limited number of students, it's likely that not all possible final grades are assigned, making this function not onto.

4. Every student in the class is coming from different home towns.
Codomain: Set of all possible home towns.
This function would be onto if every home town in the codomain has at least one student coming from it. Given that the number of students is limited, it's unlikely that every possible home town is represented, making this function not onto.

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Answer:

             \(y^2=-\frac{16}5x\)

Step-by-step explanation:

focus: (-4/5, 0) means the distance from the origin to the focus: a=4/5

y² = -4ax  

y² = -4(4/5)x

y² = -(16/5)x

Answer:

Step-by-step explanation:

\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)

Answer:

4gb

Step-by-step explanation:

$55-$35 =$20

after paying min monthly cost she has $20 left before reaching cap of $55

at $5 per gb she can buy 4 gb for $20

The number of gigabytes she can use while staying within her budget less than 4 gigabytes.

It is required to find the umber of gigabytes.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the number of gigabytes be represented be  g

Nicole pays a flat cost of $35 per month and $5 per gigabyte. She wants to keep her bill under $55 per month.

Under $55 = less than (<) $55

According to given question we have,

$35 + $5 × g < 55

35 + 5g < 55

compare like terms and simplify we get,

5g < 55 - 35

5g < 20

g < 20/5

g < 4 gigabytes

Therefore, the number of gigabytes she can use while staying within her budget less than 4 gigabytes.

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I'm sorry, but as a text-based AI model, I don't have the ability to analyze or visualize graphs directly. If you can provide a textual description or specific details about the graph, I would be happy to help you analyze and extract information from it.

Answer:

sss because 2 of the sides are labeled the same and the other one is the same cos they are touching

Answer:

0.925 or 92.5%

Step-by-step explanation:

y=a(1-b)^x

decay factor is 1-b <- and the part we care about

b is 7.5%=0.075

1-0.075

=0.925

I'm a little rusty on exponential rates, but I hope this helps!

The decay factor for the car will be equal to 0.925 or 92.5%

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent," it can be written as 2 x 2x 2 x 2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that Ed's new car has a value of $23,500, it is expected to depreciate at a rate of 7.5% per year.

The decay factor will be calculated as,

\(y=a(1-b)^x\)

b is 7.5%=0.075

Decay factor = 1-0.075

Decay factor = 0.925

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The slope of the given linear function is found as -3/4.

For the given question, the values for the x and y coordinates are given .

Consider two points;

(x1, y1) = (4, 6)

(x2, y2) = (8, 3)

Slope = m = (y2 - y1)/(x2 - x1)

Put the values.

m = (3 - 6)/(8 - 4)

m = -3/4

Thus, the slope of the given linear function is found as -3/4.

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Answer:

y=0.5x+30?

Step-by-step explanation:

Answer:

cost price = $262.57

selling price = $302.48

Explanation:

The selling price is

Selling price = cost + markup

We know that markup is 15.2% of the cost price. Since the markup is $39.91,

dividing both sides by 0.152 gives

The selling price is

cost price + 15.2% of the cost price

= (100% + 15.2%) cost price

=115.2% cost price

Now, 115.2% of the cost price is

Hence the selling price is $302.48.

Therefore, to summerise,

cost price = $262.57

selling price = $302.48

The given rational and irrational numbers can be ordered from least to greatest as follows; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

It follows from the task content that the numbers given are rational and irrational numbers.

To order the numbers, they should be converted to decimal numbers as follows;

-2 3/5 = -2.6

√20 = 4.47

3.9 = 3.9

10/3 = 3.33

3 7/8 = 3.875

Hence, the order from least to greatest is; -2 3/5 < 10/3 < 3 7/8 < 3.9 < √20.

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Answer:

$30.69

Step-by-step explanation:

22.32/ 8 = 2.79

11 x 2.79 = 30.69