hello , i need help

By looking at the domain of the graphed function we can see that the correct option is D.

f(x) = 5√x - 4

We can see that the function is not defined for x ≤ 0.

Remember that it happens for square roots, then we need to have a function with a square root of x, √x.

Or a square root of a product of x, √(a*x), where a is a real number.

The only option with that is D, which is:

f(x) = 5√x - 4

So that is the correct option.

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Answer:

Step-by-step explanation:

To solve the quadratic equation x^2 = x + 3 using the quadratic formula, we first need to write the equation in standard form:

x^2 - x - 3 = 0

Then, we can identify the coefficients a, b, and c as follows:

a = 1, b = -1, c = -3

Now, we can plug these values into the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

Substituting the values of a, b, and c, we get:

x = (-(-1) ± √((-1)^2 - 4(1)(-3))) / 2(1)

Simplifying:

x = (1 ± √(1 + 12)) / 2

x = (1 ± √13) / 2

Therefore, the solutions for the quadratic equation x^2 = x + 3 using the quadratic formula are:

x = (1 + √13) / 2 or x = (1 - √13) / 2

At the end of 3 years with a weekly compounded interest rate of 6.5%, R1,250 will be worth R1,551.00.

To calculate the future value of R1,250 at the end of 3 years with a weekly compounded interest rate of 6.5%, we can use the following formula:

FV = [tex]P(1 + r/n)^{(nt)[/tex]

Where FV is the future value, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have:

P = R1,250

r = 6.5% or 0.065 (decimal form)

n = 52 (since interest is compounded weekly)

t = 3 years

So, plugging in these values into the formula, we get:

FV = 1250(1 + 0.065/52)¹⁵⁶

FV = 1250(1.005)¹⁵⁶

FV = 1250(1.2408)

FV = R1,551.00 (rounded to the nearest cent)

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The relation is not function because for each input there is not exactly one output.

We know that a function is said to be relation if each input value have distinct output.

Also, No two same input value have different output value0

Here, for x = 0,

there are two values of y, -4 and -2

This, shows that given relation is not a function.

Hence, it is not a function.

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The 3 sentences that describe your observations are,

Additionally, the coordinates of the vertices are all integer values.

Finally, it appears that the three triangles are all similar to one another,

meaning that they have the same shape but may be different sizes.

Now, We get;

Upon examining the triangles and their vertices,

I can see that all three triangles have two vertices with the same coordinates.

Additionally, the coordinates of the vertices are all integer values.

Finally, it appears that the three triangles are all similar to one another, meaning that they have the same shape but may be different sizes.

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The area of the shaded segment of the circle is 39.27 square meter.

From the given figure, radius = 8 m.

We know that, the area of the minor segment of the circle is (θ / 360°) × πr²- (1/2) r² sin θ.

Angle of minor arc = 360°-240°

= 120°

Here, area of the segment = (120°/360°) ×3.14×8²-1/2 ×8²×sin 120°

= 1/3 ×3.14×64-1/2×64×√3/2

= 39.27 square meter

Therefore, the area of the shaded segment of the circle is 39.27 square meter.

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Answer:

The correct answer is 5 and 8. A right triangle has two sides whose lengths are the square root of two consecutive integers and one side whose length is the difference between those two integers. In this case, the two consecutive integers are 34 and 35. This means that the side lengths of the right triangle would be √34 and √35, or 5 and 8.

Answer: 26 [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

4 2/5 * 6                    convert mixed to improper

22/5 * 6

132/5                      convert back

26 2/5

After 8 years, Austin's savings account would have a balance of [tex]$861.39[/tex].

Assuming the interest rate remains constant, the balance of Austin's savings account after 8 years can be calculated using the formula for compound interest: Balance =

[tex]Principal x (1 + (Interest Rate/Number of times compounded per year))^(Number of years x Number of times compounded per year)[/tex]

The principal is [tex]$600.00[/tex], the interest rate is 5%, compounded annually (meaning it's compounded once a year), and the number of years is 8. Plugging in the values, we get:

Balance = [tex]$600.00 x (1 + (0.05/1))^(8 x 1)[/tex]

Balance = [tex]$861.39[/tex]

This means that the initial deposit of [tex]$600.00[/tex] would have earned [tex]$261.39[/tex] in interest over the 8-year period. It's worth noting that the longer the money remains in the account, the more it will earn due to the compounding effect.

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Answer: The college will have about 480 students who prefer cookies.

Step-by-step explanation:

Answer:

Step-by-step explanation:

add the number of cookies then subtract  it by the number of students

The valid conclusion is  A.  We can be 90% ... the mean amount ... is between $217 and $677.

The confidence interval used by the student researcher refers to the probability that the university's population parameter (average amount that students spent on sporting events last year) will fall between $217 and $677 for 90% of the time.

A confidence interval is the mean of your estimate plus and minus the variation in that estimate. This is the range of values you expect your estimate to fall between if you redo your test, within a certain level of confidence. Confidence, in statistics, is another way to describe probability.

Thus, the interval measurement gives the researcher some degree of certainty that the calculated sample mean falls within the population mean most of the time.

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The complete question is:-

marketing student is estimating the average amount of money that students at a large university spent on sporting events last year. He asks a random sample of 50 students at one of the university football games how much they spent on sporting events last year. Using this data he computes a 90% confidence interval, which turns out to be ($217, $677). Which one of the following conclusions is valid? We can be 90% confident that the mean amount of money spent at sporting events last year by all the students at this university is between $217 and $677. 90% of the sample said they spent between $217 and $677 at sporting events last year. No conclusion can be drawn.

Answer: D. 9(y + 3) and 27 + 9y

Step-by-step explanation:

    We will distribute the left expressions and see which is equal to the right expressions.

A] 3(3y + 3) ➜ 9y + 9 ≠ 6y + 6

B] 3(3y + 3) ➜ 9y + 9 ≠ 9y + 6

C] 9(y + 3) ➜ 9y + 27 ≠ 12 + 9y

D] 9(y + 3) ➜ 9y + 27, 27 + 9y = 27 + 9y

Answer:

D.

Step-by-step explanation:

The answer is D.

these are equivalent for any value of y

The maximum height reached from the ground is 242.75 m

Here, we have,

The horizontal speed of a projectile is regular, and there's a vertical acceleration because of gravity; its cost is 9.8 m/s/s, down, The vertical speed of a projectile changes via nine.8 m/s every second, The horizontal motion of a projectile is impartial to its vertical movement.

we know that,

Projectile motion is a form of motion experienced with the aid of an object or particle that is projected in a gravitational field, such as from Earth's floor, and movements alongside a curved route below the action of gravity best.

Projectile motion is the movement of an object thrown (projected) into the air. After the initial force that launches the item, it most effectively reports the pressure of gravity. The object is known as a projectile, and its route is called its trajectory.

Calculation:-

vertical velocity = 70 cos 35° = 57.34 m/s.

height = 64 m tall

time = ?

S = ut +1/2 at²

75 =  57.34t + 1/2×9.8 t²

4.9t² + 57.34t - 75 = 0

t = 1.50035 Sec

V² = U² - 2aS

0 =  U² - 2aS

U² = 2aS

S = U² /2a

  =  (57.34)²/2× 9.8

  = 167.75

Total height = 75 + 167.75

                    = 242.75 m

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complete question:

A man fired a bullet from the top of a tree whick is 64m tall. The bullet is fired with а velocity of 70ms-1 and angle of 35° to the horizontal line from the eye view of the man. If Sitting position the man is 0.8m Tall. Find the maximum height reached from the ground.

​

The only factors of the given expression are: 8, xy, 4x³

A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on. Now we can also use what's called prime factorization for numbers which actually consist of using factor trees.

The expression that needs to be factored is given as;

2^(5) × x⁴ × y

This can also be written as;

32 × x⁴ × y

Now, looking at the options, it is clear that the only factors are;

8, xy, 4x³

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Step-by-step explanation:

Total yards =    11+11    +   31+31 = 84 yards

84 yd * $9/yd =  $ 756 total

The length of the arc that has a central angle measure of 45 degrees and a circle radius of 12 cm is calculated as: 9.42 cm.

The length of an arc can be calculated by using the formula below:

length of arc = ∅/360 * 2πr, where:

∅ = central angle measure

r = the radius of the circle.

The central angle measure (∅) = 45°

Radius (r) = 12 cm

Plug in the values:

length of arc = 45/360 * 2 * 3.14 * 12

length of arc = 9.42 cm

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Answer:

C. 16x² y + 20xy

Step-by-step explanation:

16x² y + 20xy

Factor out 4xy

4xy(4x + 5)

So, only C is correct answer, the other options are wrong.

The survey mode that is not mentioned in the text is "puter-administered." The correct option is b: puter-administered.

The following is not a survey mode mentioned in the text: a.person-administered. b: puter-administered. c.self-administered. d.mixed-mode.

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The winner received 168 votes in the eighth-grade class election for president.

To answer this question, we need to find out how many votes the winner received in the eighth-grade class election for president, given that 480 students voted and the results are shown in a pie chart.

1. Examine the pie chart to find the percentage of votes the winner received.

2. Calculate the number of votes the winner received by multiplying the percentage by the total number of votes (480 students).

For example, if the pie chart shows the winner received 60% of the votes:

1. The winner received 60% of the votes.

2. Calculate the number of votes: 60% * 480 = 0.6 * 480 = 288 votes.

Here,

percent of votes received by Melissa = 35%

percent of votes received by Heather= 33%

Total percent of votes received by Melissa and

Heather 35+ 33 68% percent of votes received by Paul 100-68= 32%

So Melissa was the winner.

Total number of votes cast = 480

Total no of votes received by Melissa

(35/100)x(480) = 168

So, the winner received 168 votes in the eighth-grade class election for president.

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The manager can see the eight applicants in 40,320 different ways.

The number of ways the manager can see the eight applicants, one after another, equals the number of permutations of eight objects taken at a time. The given problem depends on a number of arrangements we can make for the applicants to give interviews one by one, which can be calculated as follows:

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

In 40320 ways the applicants are able to give the interview. Therefore, the manager can see the eight applicants in 40,320 different ways.

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The answer of the given question based on the ticks are in an OCTILLA is , an OCTILLA contains 4,096 sticks.

In general, a bundle is a collection of similar objects that are tied or wrapped together in some way for ease of handling, transport, or storage. The term "bundle" can be used to refer to different types of collections of objects depending on the context in which it is used. "bundle" refers to a specific quantity of a certain object.

According to the given information:

1 OC = 8 sticks

1 OCTA = 8 OC = 8 x 8 sticks = 64 sticks

1 OCTIL = 8 OCTA = 8 x 64 sticks = 512 sticks

1 OCTILLA = 8 OCTIL = 8 x 512 sticks = 4,096 sticks

Therefore, an OCTILLA contains 4,096 sticks.

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we have -4 = -4 on the left-hand side and 3 = 3 on the right-hand side, so the equation is balanced.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

12894 ( 36 ÷ 9 ) − ( 36 ÷ 2 ) = 5 ( × 3 ) − 12

Explanation:

36 ÷ 9 = 4, so we can use the digit 4 from the number 12894.

36 ÷ 2 = 18, so we can use the digit 8 from the number 12894.

Now we have (4 - 8) = -4 on the left-hand side of the equation.

5 × 3 = 15, so we can use the digit 1 from the number 12894.

15 - 12 = 3, so we can use the digit 3 from the number 12894.

Thus, we have -4 = -4 on the left-hand side and 3 = 3 on the right-hand side, so the equation is balanced.

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( 36 ÷ 4 ) − ( 36 ÷ 9) = 5 (8 × 3 ) − 12 = 12

4   9   8   12

Step-by-step explanation:

i did the test

The number of desserts, which can be ordered having 1 flavor of "frozen-yogurt" and 1 "topping" are 48.

In order to find the number of desserts that can be ordered with 1 flavor of frozen yogurt and 1 topping, we use the "multiplication-principle" of counting, which states that if there are "n" ways to selecta a thing and "m" ways to select another thing, then there are "n × m" ways to select both things together.

In this case, there are 8 flavors of frozen-yogurt to choose from and 6 kinds of toppings.

So, using the multiplication principle of counting, we get:

Number of desserts = number of flavors × number of toppings

= 8 × 6

= 48

Therefore, there are 48 different desserts that can be ordered with 1 flavor of frozen yogurt and 1 topping.

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The mean and MAD of the two sets are solved

Given data ,

Set A: {1,2,3,4,10}

Mean of Set A: (1 + 2 + 3 + 4 + 10) / 5 = 4

To find the mean absolute deviation (MAD), we first find the absolute difference of each value from the mean:

|1 - 4| = 3

|2 - 4| = 2

|3 - 4| = 1

|4 - 4| = 0

|10 - 4| = 6

Next, we find the average of these absolute differences:

MAD of Set A = (3 + 2 + 1 + 0 + 6) / 5 = 2.4

And ,

Set B: {1, 2, 3, 4, 5}

Mean of Set B: (1 + 2 + 3 + 4 + 5) / 5 = 3

To find the mean absolute deviation (MAD), we first find the absolute difference of each value from the mean:

|1 - 3| = 2

|2 - 3| = 1

|3 - 3| = 0

|4 - 3| = 1

|5 - 3| = 2

Next, we find the average of these absolute differences:

MAD of Set B = ( 2 + 1 + 0 + 1 + 2 ) / 5 = 1.2

Hence , mean absolute deviation of Set A is less than the mean absolute deviation of Set B and mean of Set A is greater than the mean of Set B

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Answer:

Step-by-step explanation:

False. When a highly accurate estimate of the population is needed, the sampling method needs to be a probability method, not a nonprobability method.

Probability sampling is a sampling method that uses random criteria to select a sample from the population, ensuring that every member of the population has an equal chance of being included. Probability sampling allows researchers to make statistical inferences about the population based on the sample.

Nonprobability sampling is a sampling method that uses non-random criteria to select a sample from the population, such as convenience, availability, or expert judgment. Nonprobability sampling does not allow researchers to make statistical inferences about the population based on the sample.

False. When a highly accurate estimate of the population is needed, the sampling method needs to be a probability method. Probability sampling methods ensure that every member of the population has an equal chance of being selected, which helps to minimize bias and increase the representativeness of the sample.

False. When a highly accurate estimate of the population is needed, the sampling method needs to be a probability method. Probability sampling methods ensure that every member of the population has an equal chance of being selected, which helps to minimize bias and increase the representativeness of the sample.

Nonprobability sampling methods, on the other hand, do not guarantee equal representation and are more likely to introduce bias into the sample. However, nonprobability sampling methods can still be useful in certain situations where probability sampling is not feasible or appropriate, such as when studying hard-to-reach populations or when conducting exploratory research. Ultimately, the choice of sampling method depends on the research question, the characteristics of the population being studied, and the resources available for sampling.
False. When a highly accurate estimate of the population is needed, it is recommended to use a probability sampling method rather than a nonprobability method. Probability sampling methods, such as simple random sampling, systematic sampling, stratified sampling, and cluster sampling, involve the selection of participants based on a known probability. This ensures that each individual in the population has a known and nonzero chance of being included in the sample.
In contrast, nonprobability sampling methods, such as convenience sampling, quota sampling, and snowball sampling, do not provide every individual in the population an equal chance of being selected. These methods are more prone to biases and may not be representative of the overall population, making it difficult to generalize the findings and obtain an accurate estimate.
Probability sampling methods are preferred when aiming for a high level of accuracy and representativeness, as they allow for the calculation of sampling error and the estimation of confidence intervals. These techniques help in understanding the reliability of the results and enable researchers to make valid inferences about the entire population.

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The value of x in the right angled triangle is 11.12.

A right angled triangle is a triangle in which one of the angles is 90°.

To calculate the value of x in the right angled triangle, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Hence, the value of 11.12.

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Answer:

Step-by-step explanation: