A car's position in feet t seconds after it starts moving is given by s(t)-9ti The average rate of change in position with respect to time is called average velocity.
i) Find the car's average velocity over the first 4 seconds DO NOT INCLUDE UNITS WITH YOUR ANSWER. ii) Find the car's average velocity from t 16 tot -25 seconds DO NOT INCLUDE UNITS WITH YOU ANSWER. I
ii)What units would your answers from parts i and i be in? A. feet B. seconds per foot per foot C. seconds E. seconds per foot F. feet per second per second

The presense of a midpoint will result in congruent segments.

Congruent segments are just equal-length line segments. Congruent means similar. Congruent line segments are typically represented by drawing the same number of little tic lines perpendicular to the segments in the middle of the segments.

A congruent line segment is any line segment with equal measure. Congruent line segments, for example, are the sides of an equilateral triangle since they all have the same length.

When we insert a midpoint to a line segment, it divides the line into two equal portions. Because equal segments are congruent, we can say that congruent segments are generated.

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Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Choice B, with a y-intercept of 0, is the correct response and provides a table that depicts a linear and proportionate relationship that is

x y

0 0

2 1

4 2

What do you mean By graph Intercept function?

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Option (D) is the graph that illustrates how the inequality can be resolved.

Inequality is a mathematical term used to describe the notion that two values are not equal.

It compares two values or expressions using inequality symbols such as "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than), or "" (not equal to).

The shaded area to the right of 12 shows all real numbers bigger than 12, which is the solution to the inequality. The open circle at 12 denotes that 12 is not part of the answer.

We first simplify the inequality (9x+27)/3 > x + 33 before graphing the solution:

(9x+27)/3 > x + 33

3x + 9 > x + 33

2x > 24

x > 12

Given this discrepancy, x must be bigger than 12. Therefore, all real numbers larger than 12 are the answer.

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Answer: The pancake map also has smaller distance errors than any other 2D flat map. For instance, its layout means distances cannot be more or less than 22.2 percent of what they are in reality, Gott said. In comparison, the Mercator and Winkel Tripel projections have remarkably high distance errors near the poles and at the left and right edges of the map.

Step-by-step explanation:

A better map is one that has less errors and can locate areas more accurately. The paragraph above shows that the Pancake map has less errors and is generally accurate for areas within a 22.2% band.

This means that it is better than 2D maps made in the past especially the Mercator and Winkel Tripel projections which have some very significant distance errors especially in relation to the poles and the edges of the map.

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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A, your current answer, is correct, as adding the angles together would result in an angle greater than 180, meaning you cannot deduce that from this information. The rest of the answers are true and can be deduced from the information.

The probability associated with obtaining a particular value of z is referred to as its statistical probability or simply its probability. It represents the likelihood of observing a specific value of z in a given statistical distribution.

The probability of a specific value of z can be calculated using various statistical methods, depending on the distribution being considered. In statistics, z represents a standard score or a z-score. It is a measure of how many standard deviations a particular value is away from the mean of a distribution. The probability associated with a specific value of z is determined by the characteristics of the distribution, such as its shape, mean, and standard deviation. Different distributions, such as the normal distribution or the t-distribution, have different methods for calculating probabilities associated with specific values of z.

The probability associated with a particular value of z can be useful in hypothesis testing, confidence interval estimation, or determining the likelihood of an event occurring. By understanding the probability distribution of z-values, statisticians can make informed decisions and draw conclusions based on data analysis.

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The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.

Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

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By using x0 = 0.49 the value goes to more than 1.

Given function f(x) = x³- sinx

By newton's method x₀ = 0.49

Formula for the newton's method is

Xₙ₊₁ = Xₙ - f( Xₙ)/ f'( Xₙ)

X₀ =  0.49,f(x) = x³- sinx and  f'(x) = 3x²- cosx

X₁ = X₀ - f( X)/ f'( X)

X₁ = 0.49 - x³- sinx/3x²- cosx

X₁ = 0.49-(0.49)³-sin(0.49)/3(0.49)²-cos(0.49)

X₁ = 0.658

X2 = X1 - f(X₁)/ f'(X₁)

By substituting the values we get,

X2 = 1.012

So, Using x0 = 0.49 the value goes to more than 1.

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Answer:

x=4

Step-by-step explanation:

56/14=4

Answer:

4

Step-by-step explanation:

56÷14

there you go got that

To find the range of the function f(x) = √x - 7, we need to consider the domain of the function, which is the set of all possible input values that we can use in the function. Since the square root of a number must be non-negative, the domain of this function is x ≥ 49.

Next, we need to evaluate the function for different values of x within the domain to see what values it produces. For example, if we plug in x = 49, we get f(49) = √49 - 7 = 7 - 7 = 0. If we plug in x = 50, we get f(50) = √50 - 7 = 7.236 - 7 = 0.236. As we can see, the function takes on both positive and negative values within its domain, so the range is all real numbers.

To represent this visually, we can plot the function on a graph and see how its values vary as the input x changes. We can use a graphing calculator or other graphing technology to do this. On a graph, the x-axis represents the input values (the domain of the function), and the y-axis represents the output values (the range of the function).

Here is a graph of the function f(x) = √x - 7:

[Insert graph here]

As we can see from the graph, the range of the function is all real numbers, indicated by the fact that the graph extends to both positive and negative infinity on the y-axis. This tells us that the range of the function is {y | y ∈ ℝ}.

Answer:

48

Step-by-step explanation:

check the attached file

The amount of cherrries that Dahlia has in stock at the end of the day is 69.

The first step is to determine the number of cherries that were remaining after 19 were sold.

Cherries remaining = 22 - 19 = 3

Number of cherries in the shipment == 22 x 3 = 66

Total number of cherries at the end of the day = 66 + 3 = 69

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Answer:

Step-by-step explanation:

f(-5) = -(-5) + 1

        = 5 +1

        = 6

Answer:

f(-5) = -(-5) + 1

       = 5 +1

       = 6

Step-by-step explanation:

can i maybe get branlyest i only have 1 one rn it would help

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

\((sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25\)

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

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Answer:

Pi (π) is the constant used in equations to find all of the dimensions of circles and spheres

Step-by-step explanation:

Answer:

The profitability index (PI) is a measure of a project's or investment's attractiveness. The PI is calculated by dividing the present value of future expected cash flows by the initial investment amount in the project.

Step-by-step explanation:

B)12

Step-by-step explanation:

60=5x-10

+10 +10

70=5x

÷5 ÷5

x=12

There will be approximately 34.27 pounds of blueberries in each cheesecake.

Given: Sally is making 15 individual blueberry cheesecakes.

To find the number of pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them.

To calculate the number of pounds of blueberries in each cheesecake when 514 pounds of blueberries are divided equally among 15 individual blueberry cheesecakes.

Divide the total weight of blueberries by the number of cheesecakes.

514 pounds of blueberries divided by 15 cheesecakes= 34.27 pounds of blueberries per cheesecake.

Hence, there will be approximately 34.27 pounds of blueberries in each cheesecake.

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Maintain the 95% level of confidence but report a confidence interval with a smaller margin of error, the medical researcher should increase the sample size.

This will provide a more precise estimate of the mean birth weight of babies born to women over the age of 40.

Maintain the 95% level of confidence but report a confidence interval with a smaller margin of error, the researcher should increase the sample size.

The larger the sample size, the smaller the margin of error, which means that the estimated mean birth weight of all babies born to women over the age of 40 will be more precise.
Redoing the study and choosing a different sample of size 100 will not necessarily reduce the margin of error, as the variability in the sample may be the same.

To achieve a smaller margin of error, the researcher needs to increase the sample size.
With a larger sample size, the researcher will have a more representative sample of the population, which will lead to a more accurate estimate of the mean birth weight of all babies born to women over the age of 40.

However, the larger sample size may require more resources and time to collect the data.

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Germany will export cars and import wine when X (the time required to produce a case of wine in France) is less than 3, indicating that France has a comparative advantage in wine production and Germany has a comparative advantage in car production.

a) To determine the values of X for which gains from trade are possible, we need to compare the opportunity costs of car and wine production between Germany and France. The opportunity cost is the ratio of the number of hours required to produce one unit of one good to the number of hours required to produce one unit of the other good.

For Germany, the opportunity cost of producing a car is 400 hours/2 hours = 200 cases of wine per car.

For France, the opportunity cost of producing a car is 600 hours/X hours = 600/X cases of wine per car.

Gains from trade occur when the opportunity costs differ between countries, allowing them to specialize in the production of goods with lower opportunity costs and trade with each other. In this case, Germany has a lower opportunity cost of producing cars compared to wine (200 < 600/X), while France has a lower opportunity cost of producing wine compared to cars (600/X < 200).

To ensure gains from trade, Germany will specialize in car production, and France will specialize in wine production. Therefore, for gains from trade to be possible, the value of X must lie between the opportunity costs of car production for Germany and France, which is 200 < X < 600.

b) Germany will export cars and import wine when it has a comparative advantage in car production (lower opportunity cost) and France has a comparative advantage in wine production (lower opportunity cost).

Since Germany's opportunity cost of producing a car is 200 cases of wine per car, it will export cars if the opportunity cost of wine production in France (600/X) is higher than 200. Therefore, for Germany to export cars and import wine, the value of X must satisfy the condition 600/X > 200, which simplifies to X < 3.

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Answer:

Below

Step-by-step explanation:

20% INcorrect means 80% CORRECT

80% is .8 in decimal

.8 X 80 = 64 questions correct

Answer:

64 correct answers

Step-by-step explanation:

Marcy completed her science test and got 20% of the questions incorrect. There was a total of 80 questions. How many did she get correct?

20% of 80 questions were wrong so, 80% of the questions were answered correctly:

80% = 0.8

0.8 * 80 = 64

64 correct answers

Answer:

\(3d - 9\)

Step-by-step explanation:

\((-7d - 3)+(10d - 6)\\-7d - 3 + 10d - 6\\-7d + 10d -3 - 6\\3d - 9\)

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer: m= 10 over 9

Step-by-step explanation:

If you want to check your answer

The transformation of the graph of the parent function y = √x to the function y = √(x - 7) + 5 involves a shift to the right by 7 units and a vertical shift upward by 5 units.

The parent function y = √x represents the square root function with the graph starting from the origin and extending to the positive x-axis. It has a vertex at (0, 0) and increases gradually as x increases.

In the transformed function y = √(x - 7) + 5, the expression (x - 7) inside the square root causes a horizontal shift to the right by 7 units. This means that the graph of the transformed function will appear to shift 7 units to the right compared to the parent function. The vertex of the transformed function will now be located at (7, 0).

Additionally, the "+ 5" term outside the square root causes a vertical shift upward by 5 units. This means that the graph of the transformed function will be shifted vertically upward by 5 units compared to the parent function. The new vertex of the transformed function will be located at (7, 5).

The effect of these transformations is that the graph of y = √(x - 7) + 5 will be shifted to the right and higher compared to the parent function y = √x. The shape of the graph will remain the same, with a gradual increase as x increases, but the entire graph will be shifted horizontally and vertically.

It's important to note that these transformations affect the position of the graph but do not alter the general shape or characteristics of the square root function. The graph will still exhibit a smooth curve, increasing as x increases, but now it will start at (7, 5) instead of the origin.

In summary, the transformation of the graph of the parent function y = √x to the function y = √(x - 7) + 5 involves a shift to the right by 7 units and a vertical shift upward by 5 units. The vertex of the transformed function will be located at (7, 5).

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The answer to the question is 46

The wavelength for radio waves with frequency 3 × 10⁹ Hz is 0.1 m.

Wavelength of the radio wave= 3×10⁸/3×10⁹ = 0.1 m

Thus, we can conclude that the wavelength of the radio wave with frequency of 3 × 10⁹ Hz is 0.1 m.

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a.  F does, in fact, satisfy Rolle's Theorem's hypotheses regarding the interval [-1,1].

b. F does, in fact, satisfy the Mean Value Theorem's hypotheses on the range [-1,1].

c. G does not satisfy Rolle's Theorem's hypotheses on the interval [-1,1], hence no.

(a) Yes, f satisfies the hypotheses of Rolle's Theorem on the interval [-1,1]. The hypotheses of Rolle's Theorem are:

f(x) is continuous on the closed interval [a,b]

f(x) is differentiable on the open interval (a,b)

f(a) = f(b)

In this case, we have:

f(x) = x - x^3 is continuous on the closed interval [-1,1]

f(x) = x - x^3 is differentiable on the open interval (-1,1)

f(-1) = -1 - (-1)^3 = 0 = f(1)

Thus, by Rolle's Theorem, there exists at least one c in (-1,1) such that f'(c) = 0.

To find the value of c, we have:

f'(x) = 1 - 3x^2

f'(c) = 1 - 3c^2 = 0

3c^2 = 1

c = ±(1/√3)

Since c must be in the interval (-1,1), we have c = 1/√3.

(b) Yes, f satisfies the hypotheses of the Mean Value Theorem on the interval [-1,1]. The hypotheses of the Mean Value Theorem are:

f(x) is continuous on the closed interval [a,b]

f(x) is differentiable on the open interval (a,b)

In this case, we have:

f(x) = x - x^3 is continuous on the closed interval [-1,1]

f(x) = x - x^3 is differentiable on the open interval (-1,1)

Thus, by the Mean Value Theorem, there exists at least one e in (-1,1) such that:

f'(e) = (f(1) - f(-1))/(1 - (-1))

f'(e) = (1 - (-1))/(1 - (-1)) = 1

To find the value of e, we have:

f'(x) = 1 - 3x^2

f'(e) = 1

Thus, e can be any value in (-1,1).

(c) No, g does not satisfy the hypotheses of Rolle's Theorem on the interval [-1,1]. The hypotheses of Rolle's Theorem are:

f(x) is continuous on the closed interval [a,b]

f(x) is differentiable on the open interval (a,b)

f(a) = f(b)

In this case, we have:

g(x) = 15 is continuous on the closed interval [-1,1]

g(x) = 15 is not differentiable on the open interval (-1,1) since it is a constant function

g(-1) = 15 ≠ g(1)

Thus, g does not satisfy the hypotheses of Rolle's Theorem on the interval [-1,1], and we cannot determine a value c that is guaranteed to exist.

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