does anyone know this please?

Answer:

g'(0) = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Calculus

Step-by-step explanation:

Step 1: Define

g(x) = 8 - 10cos(x)

x = 0

Step 2: Differentiate

Step 3: Evaluate

The distance between -7/9 and -2/9 is 5 units.

A number line can be defined as a pictorial representation of numbers on a straight line. The numbers on a number line are placed sequentially at equal distances along its length. It can be extended infinitely in any direction and is usually represented horizontally.

Given:

we have two numbers on the number line -7/9, 2/9.

Now, to find the distance we have to perform the subtraction as:

-7/9- (-2/9)

-7/9+2/9

-5/9

Hence, the difference is of 5 units on the number line.

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The length of the line segment AC is 25.5 cm.

A line segment in geometry is a section of a line that has two clearly defined ends as its boundaries. It may be compared to a straight line that has two points where it begins and ends. Letters or points on the line, such as A and B, are frequently used to represent the two ends of a line segment. In contrast to a line, which extends forever in both directions, a line segment has a limited length. A ruler or other measuring device can be used to determine the length of a line segment.

To find the length of segment AC, we can use the fact that the sum of the lengths of two segments on a line is equal to the length of the entire line. That is:

AB + BC = AC

Substituting the given values, we get:

12 cm + 13.5 cm = AC

Simplifying:

AC = 25.5 cm

Therefore, the length of segment AC is 25.5 cm.

There is only one possible answer for the length of segment AC since it is uniquely determined by the lengths of segments AB and BC.

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Answer:

f(n) = 10 + 3n

Step-by-step explanation:

Each of the expressions has 10 + a certain number of 3's

For example for n = 3 we have
f(3) = 10 + 3 threes = 10 + 3 x 3 = 10 + 9 = 19

For n = 4, we have

f(4) = 10 + 4 threes = 10 + 4 x 3 = 10 + 12 = 22

The others follow the same pattern

So the explicit equation is

f(n) = 10 + 3n

Testing on n = 6 we get

f(6) = 10 + 6n = 10 + 6 x 3 = 10 + 18 = 28

Therefore, the cost of the material before taxes is $317.20. The perimeter of the pen is 76 ft.

we first need to find the length of the sides of the pen. Since the pen is rectangular, we can divide the perimeter by 4 to get the length of one side:

76 ft ÷ 4 = 19 ft

Since there are two sides of equal length in a rectangle, the width of the pen is also 19 ft. The total length of fencing material required is the perimeter of the pen, which is:

2 × length + 2 × width = 2 × 19 ft + 2 × 19 ft = 76 ft

The fencing material is sold by the yard, so we need to convert the length from feet to yards:

76 ft ÷ 3 ft/yd = 25.33 yd

We round up to 26 yards to ensure we have enough material.

The cost of the material is $12.20 per yard, so the cost of 26 yards of material is:

$12.20/yd × 26 yd = $317.20

In summary, Carolyn needs 26 yards of fencing material to build a

rectangular pen for her dog with a perimeter of 76 ft.

The cost of the material before taxes is $317.20, calculated by multiplying the number of yards of material required by the cost per yard.

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The ordered pair (1, 2) is not included in the solution set to the system of inequalities y < x^2 + 3 and y > x^2 - 2x + 8.

To determine which ordered pair is included in the solution set to the given system of inequalities, we need to evaluate each ordered pair by substituting the values into the inequalities and checking if they satisfy the conditions.

Let's consider the ordered pair (1, 2) as a candidate solution:

Substituting x = 1 and y = 2 into the first inequality:

2 < 1^2 + 3

2 < 4 (True)

Substituting x = 1 and y = 2 into the second inequality:

2 > 1^2 - 2(1) + 8

2 > 1 - 2 + 8

2 > 7 (False)

Since the second inequality is not satisfied, the ordered pair (1, 2) is not included in the solution set to the given system.

Therefore, the ordered pair (1, 2) is not included in the solution set.

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Answer:

Step-by-step explanation:

i give you an answer and you delete it..? hhh i get that i mighta been wrong ( i forget who was wrong tbh ) but that wasn't very nice-

If you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

The initial rent amount = $1000

The percent of rent increase each year = 8%

Time period = 5 years

Here we can use the compound interest equation

A = \(P(1+\frac{r}{100})^t\)

Substitute the values in the equation

The rent amount  of the apartment during the 5th year of living in the apartment = \(1000(1+\frac{8}{100})^5\)

= $1469.32

Hence, if you rent an apartment that cost $1000 per month during the first year, but the rent is set to go up 8% per year, the the rent amount  of the apartment during the 5th year of living in the apartment is $1469.32

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We have the following equation given:

If we solve in the form y=mx+b we got:

Part a

S

Answer:

36hr 16min

Step-by-step explanation:

1pool/17hr - 1pool/32hr = 1 pool/xhr

1/17 - 1/32 = 1/x

Use common denomminator of 17*32 = 544

32/544 - 17/544 = 1/x

15/544 = 1/x

x = 544/15

x = 36 4/15 hr

x = 36hr 16min

To show that the wave function y=e^(b(x-vt)) is a solution of the linear wave equation (eq. 16.27), we need to plug the wave function into the equation and see if it satisfies the equation.

The linear wave equation (eq. 16.27) is given by:

∂^2y/∂x^2 = (1/v^2) ∂^2y/∂t^2

Plugging in the wave function y=e^(b(x-vt)) into the equation, we get:

∂^2(e^(b(x-vt)))/∂x^2 = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to x, we get:

b^2 e^(b(x-vt)) = (1/v^2) ∂^2(e^(b(x-vt)))/∂t^2

Taking the second derivative with respect to t, we get:

b^2 e^(b(x-vt)) = (1/v^2) b^2 v^2 e^(b(x-vt))

Simplifying, we get:

b^2 e^(b(x-vt)) = b^2 e^(b(x-vt))

This shows that the wave function y=e^(b(x-vt)) satisfies the linear wave equation (eq. 16.27) and is therefore a solution of the equation.

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Answer:

d

Step-by-step explanation:

Stratified sampling is a technique where the sample is split into exclusive groups proportional to the population and then simple random sampling is employed within those groups. So, option B is correct.

This sampling technique involves dividing the population statistics into smaller subgroups on certain given characteristics and then selecting a random sample of solution from each stratum based on the requirement.

This technique is best suitable when the type of population is heterogeneous with respect to characteristics of interest. This sampling uses Proportionate sampling which takes an equal stratum with population size. The output of data is identical to the entire population size.

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Answer:

8. x = 16

9. x = 10

14.

m ∠RSU = 130°

m ∠UST = 50°

15.

m ∠RSU = 124°

m ∠UST = 56°

Step-by-step explanation:

8.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is , (x + 15)° = 31°

                x = 31 - 15 =  16

9.

Given ∠DEF is bisected by EG. That is , ∠DEG = ∠GEF

That is ,

           (6x - 4)° = 56°

            6x = 56 + 4

               6x = 60

                 x = 10

14.

13x + 5x = 180°                       [straight line angles ]

18x = 180

x = 10

m ∠RSU = 130°

m ∠UST = 50°

15.

4x + 12 + 2x = 180°                       [ straight line angles]

6x = 180 - 12

6x = 168

x = 28

m ∠RSU = 4(28) + 12 = 112 + 12 = 124°

m ∠UST = 2(28) = 56°

Answer:

14. 13x+5x

=18x

180(angles on a st. line)= 18x

180/18

=10

RSU=13*10=130

UST=5*10=50

Answer:

Step-by-step explanation:

Number of field goals = 51

That is 75% of the total which is x

75% x = 51

75/100 * x = 51     Multiply by 100

75x = 51*100

75x = 5100           Divide by 75

x = 5100/75

x = 68

The total number of kicks was 68

The perimeter is the sum of the lengths of the sides of a closed plane figure.

The total distance from the outside of the closed figure is called the perimeter. Sum of all sides of a closed figure. The formula is: perimeter = sum of all sides

The units for the perimeter of a polygon remain the same as the units for each side. If the sides have different units, convert them to the same units and then find the perimeter.

A regular polygon has all equal sides. So if the polygon has 'n' sides, add the same length 'n' times. Perimeter of regular polygon = (length of one side) × number of sides

Example: Perimeter of regular hexagon is 6 × length of side

Total distance around polygon is. It can be found by summing all the sides of the polygon. Rectangle perimeter = 2( length + width)

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The slope is 14/61.

The y-intercept is 2

The equation represents the linear relation is y = (14/61)x + 2.

We have,

From the graph,

The coordinates are:

(0, 2) and (61, 16)

Now,

Slope.

= (16 - 2) / (61 - 0)

= 14 / 61

Now,

The equation of the line.

y = mx + c

And,

m = 14/61

(0, 2) = (x, y)

Substituting.

2 = (14/61) x 0 + c

2 = 0 + c

c = 2

This is the y-intercept.

Now,

The equation represents the linear relation.

y = mx + c

y = (14/61)x + 2

Thus,

The slope is 14/61.

The y-intercept is 2

The equation represents the linear relation is y = (14/61)x + 2.

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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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Jaden may have had a ["smaller", "larger"] sample size. The correct choice is: "larger."

Jaden may have had ["more", "less"] variability (a ["larger", "smaller"] standard deviation) in his survey responses.
Your answer: more (a larger standard deviation)

In statistics, the sample size is the measure of the number of individual samples used in an experiment. For example, if we are testing 50 samples of people who watch TV in a city, then the sample size is 50. We can also term it Sample Statistics.

Sample size refers to the number of participants or observations included in a study. This number is usually represented by n.

The size of a sample influences two statistical properties:

1) the precision of our estimates and

2) the power of the study to draw conclusions.

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The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

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The probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3 is 0.16%.

The normal distribution is a type of probability function that describes how a variable's values are distributed. Since the majority of the observations cluster around the curve's middle peak, it is symmetric. In both directions, the probability for values of the distribution that are far from the mean.

Given that the fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviation 2.

We have to determine what is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3?

We that μ = 14.1 σ = 2 n = 100 δ = 2/√100 = 0.2

This probability is 1 subtracted by the p-value of Z when X = 14.3. So

Z = (x-μ)/σ

By the Central Limit Theorem

Z = (x-μ)/δ

Z = (14.3 – 14.1)/0.2

Z = 0.2/0.2

Z = 1

Z =1 has a p-value is 0.8413

= 1 - 0.8413 = 0.1587

Therefore 0.16% is the probability that the average fracture strength of 100 randomly selected pieces of this glass exceeds 14.3.

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The p-value is established and hypotheses are accepted or rejected based on these results, the result is significant.

The general recurrence of z-scores empowers us to decide a few things in regards to the comparing crude scores, except for deciding qualities concerning goodness or disagreeableness. The number of standard deviations a given data point has from the population mean is measured using Z-scores. In statistics, particularly normal distribution, these are frequently used to normalize data and evaluate a data point's position for improved data analysis. One of the purposes of the general recurrence of z-scores is that it permits us to work out the likelihood of an occasion happening in a standard typical conveyance.

Using mathematical software or a standard normal table, the probability distribution for z-scores can be found and used to calculate the probabilities of occurrences below, above, or between two z-scores. The general recurrence of z-scores is additionally utilized in deciding whether a noticed contrast is impressive and measurably critical. By determining whether the difference is significant if the corresponding z-score falls outside the range of 1.96, this can be accomplished. Since the p-value is established and hypotheses are accepted or rejected based on these results, the result is significant.

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Answer:

Stage crewmember's calculation is incorrect

Correct = 1/16x 1/16y

Step-by-step explanation:

Given that:

Dimension of backdrop : 20 feets long ; 16 feets high

Actual dimension of building : 320 feets long ; 256 feets high

The correct scale factor can be obtained thus :

Ratio of backdrop dimension to the actual dimension of building

Length : 20 / 320 = 1 /16

Height : 16 / 256 = 1/16

Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.

The terminal point is (0.5, 0.866), and the value of the tangent is 0.173.

For any angle a, the coordinates of the terminal point are given by:

x = cos(a)

y = sin(a).

In this case, the angle is a = pi/3

Then the coordinates of the terminal point are:

x = cos(pi/3) = 0.5

y = sin(pi/3) = 0.866

So the terminal point is ( 0.5, 0.866)

And the tangent of that angle is equal to the quotient between the y-component and the x-component:

tan(pi/3) = 0.866/0.5 = 0.173

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Answer:

Terminal point: (1/2,sqrt3/2); tan 0 = sqrt3

Step-by-step explanation:

I am sorry if this is not right but I am pretty sure it is!

(Edit: It was right on the program!)

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

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Answer:plssssss

thank youu

Step-by-step explanation:

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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Answer:

y = 72

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 12 when x = 4 and z = 3

12 = k × 4 × 3 = 12k ( divide both sides by 12 )

1 = k

y = xz ← equation of variation

When x = 9 and z = 8 , then

y = 9 × 8 = 72