Annabelle's time for a race was 23.5 seconds another runners time was 4.68 seconds faster write and evaluate an equation with a variable to find the difference between Annabelle's time and the other runners time
​

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation:

Answer:

C, no it doesn’t make it a triangle

Step-by-step explanation:

all triangles angles equal 180

30 + 50 + 120 = 200 so no it’s not a triangle since it doesn’t equal 180

Answer:

The answers to your questions are given below.

Step-by-step explanation:

Data obtained from the question include:

Opposite = b

Adjacent = a

Hypothenus = c

Sin θ =..?

Cos θ =.. ?

Tan θ =..?

A. Determination of Sin θ

Sin θ = Opposite /Hypothenus

Opposite = b

Hypothenus = c

Sin θ = Opposite /Hypothenus

Sin θ = b/c

B. Determination of Cos θ

Cos θ = Adjacent / Hypothenus

Adjacent = a

Hypothenus = c

Cos θ = Adjacent / Hypothenus

Cos θ = a/c

C. Determination of Tan θ.

Tan θ = Opposite/ Adjacent

Opposite = b

Adjacent = a

Tan θ = Opposite/ Adjacent

Tan θ = b/a

D. Simplification of Sin θ = Cos(90 – θ)

Recall:

Cos (A – B) = CosACosB + SinASinB

Cos(90 – θ) = Cos90Cosθ + Sin90Sinθ

Therefore,

Sin θ = Cos(90 – θ)

Sin θ = Cos90Cosθ + Sin90Sinθ

But:

Sin θ = b/c

Cos 90 = 0

Cos θ = a/c

Sin 90 = 1

Sin θ = Cos90Cosθ + Sin90Sinθ

b/c = 0 x a/c + 1 x b/c

b/c = b/c

The answer would be t = 8p + 72

The correct option is "n < –3 or n > –2".

What is Inequality.?

Inequality refers to a mathematical statement that expresses a relationship between two values, indicating that one value is greater than, less than, or not equal to the other. Inequality symbols, such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to), are used to represent these relationships.

The statement "-3 > n > -2" is not valid because it states that -3 is greater than n, and at the same time, n is greater than -2, which is not possible.

The statement "2 < n < 3" is also not valid because it states that 2 is less than n, and at the same time, n is less than 3. However, since we are given that -3 > n > -2, which means that n is a value between -3 and -2, it is not possible for n to be greater than 2 or less than 3.

The correct option is "n < –3 or n > –2". This statement encompasses the given range of values for n, which is between -3 and -2. It means that n can be any value less than -3 or any value greater than -2 to satisfy the given condition.

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Complete Question -

Consider the inequality statements: –3 > n > –2 2 < n < 3 n < –3 or n > –2 n < 2 or n > 3 and Determine the values of n that satisfy each of these inequality statements individually.

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Answer:

Step-by-step explanation:

C

Answer:

itts c

Step-by-step explanation:

just do it

Answer:

I think the answer is A

1,2

Appropriate hypotheses for performing a significance test: Null hypothesis: The mean weight of loaves of bread produced at the bakery is equal to 1 pound. Alternative hypothesis: The mean weight of loaves of bread produced at the bakery is less than 1 pound.

Parameter of interest: The mean weight of loaves of bread produced at the bakery.b. There is some evidence for the alternative hypothesis since the p-value is 0.00806, which is less than the level of significance of 0.01. This means that the results are statistically significant, and it is unlikely to get this result due to chance alone.c. At the α level of 0.01, the conclusion would be to reject the null hypothesis since the p-value is less than the level of significance.

This means that there is sufficient evidence to support the alternative hypothesis, which is that the mean weight of loaves of bread produced at the bakery is less than 1 pound. In summary, data markers are used in charts to represent individual data points. They are often used in combination with other chart elements, such as axes, gridlines, and legends, to help viewers understand the data being presented. The column, bar, area, dot, pie slice, or other symbol in a chart that represents a single data point is a data marker. Data markers provide you with a visual representation of the data in a chart. For example, in a column chart, each column represents a single data point.

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Answer:

division 21 by 3 ,7times this term become -7 so -7 and -5 was adding and we get negative 12

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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(i) The graph is attached below. (ii) the minimum value of the function is h = 30, when x = 5. (iii) the horizontal distance traveled by the rider between the two splashes is 2 × 9 m = 18 m.

Acceleration is a physical quantity that measures the rate at which the velocity of an object changes over time. It is a vector quantity, meaning that it has both magnitude and direction.

Acceleration is defined as the change in velocity of an object divided by the time interval over which the change occurred. It is typically measured in meters per second squared (m/s²) in the metric system, or in feet per second squared (ft/s²) in the imperial system.

If the velocity of an object is increasing, its acceleration is said to be positive. If the velocity is decreasing, the acceleration is said to be negative or deceleration. If the velocity is constant, there is no acceleration.

(i) Using the given scale, we can plot the graph of h = 1.2x² - 12x + 30 for 0 ≤ x ≤ 10 as follows:

Parabolic graph is attached below.

(ii) The constant term 30 in the equation represents the minimum height of the pirate ship ride above ground level. This is because the equation is in the form of a quadratic function in standard form, y = ax² + bx + c, where the vertex of the parabola is at the point (-b/2a, c - b²/4a). In this case, the vertex is at (5, 0), which means that the minimum value of the function is h = 30, when x = 5.

(iii) We are given that a rider is 19.2 m above ground level, which means that h = 19.2. We can substitute this value into the equation and solve for x:

19.2 = 1.2x² - 12x + 30

1.2x² - 12x + 10.8 = 0

x² - 10x + 9 = 0

(x - 1)(x - 9) = 0

Therefore, the rider is at a height of 19.2 m when he is either 1 m or 9 m away from the starting point. Since the rider swings back and forth, the distance between the two splashes is twice the distance from the starting point to either splash. Therefore, the horizontal distance traveled by the rider between the two splashes is:

2 × 9 m = 18 m

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Answer:

maybe this will help, but the rest area will be at mile marker 51

a) A random American has a 0.25249 probability of drinking over 25 gallons of bottled water.

b) The chance that a random person consumed around 18 and 26 gallons is 0.66575.

Using the z score formula, z = (x-μ) ÷ σ, where x is the raw score, the population mean = 23.2 gallons, and the population standard deviation = 2.7 gallons.

a) The probability that a randomly chosen American consumes over 25 gallons of water bottles in a year.

For x = 25 gallons

z = 25 - (23.2 ÷ 2.7)

z = 0.66667

Z-Table probability value:

P(x<25) = 0.74751

P(x>25) = 1 - P(x<25)

1 - 0.74751

= 0.25249

A random American has a 0.25249 chance of drinking over 25 gallons of mineral water in a year.

2) The possibility that the chosen individual consumes between 18 and 26 liters of water

For x = 18 gallons

z = 18 - (23.2 ÷ 2.7)

z = 9.407

Z-Table probability value:

P(x = 18) = 0.32836

For x = 26 gallons

z = 26 - (23.2 ÷ 2.7)

z = 17.407

Z-Table probability value:

P(x<25) = 0.74751

P(x>25) = 1 - P(x<25)

1 - 0.74751

= 0.25249

The selected person is going to consume between 18 and 26 liters of alcohol.

P(x = 26) - P(x = 18)

= 0.99411 - 0.32836

= 0.66575

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Answer:

x < -7

Step-by-step explanation:

The circle is open meaning -7 is not included in the answer

Answer: sorry I dont know!

Step-by-step explanation:

To evaluate the principal value of the integral 00 dx / (x^2 + 2), we need to find the limit of the integral as the limits of integration approach 0 from both the positive and negative sides. The Principal value of the integral = arctan(x / sqrt(2)) + C.

Evaluate the principal value of the integral ∫(1 / (x^2 + 2)) dx
Here is a step-by-step explanation to solve this integral:
Step 1: Identify the function to integrate
The given function is f(x) = 1 / (x^2 + 2).
Step 2: Perform substitution
We can perform a trigonometric substitution to make integration easier. Let x = sqrt(2) * tan(u), so dx = sqrt(2) * sec^2(u) du.
Step 3: Rewrite the integral with substitution
The integral becomes ∫(sqrt(2) * sec^2(u) du / (2*tan^2(u) + 2)).
Step 4: Simplify the integrand
Simplify the expression inside the integral to get ∫(sec^2(u) du / (sec^2(u))).
Step 5: Integrate the simplified expression
Since the numerator and denominator are the same, the integrand simplifies to 1. Now, we just need to integrate ∫1 du. The result is the integral of 1 with respect to u, which is simply u + C, where C is the constant of integration.
Step 6: Replace u with the original variable
Recall that we set x = sqrt(2) * tan(u), so u = arctan(x / sqrt(2)). Therefore, the final answer is:
Principal value of the integral = arctan(x / sqrt(2)) + C

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The length of segment RS is given as follows:

RS = 24.

The angle addition postulate states that if two or more angles share a common vertex and a common angle, forming a combination, the measure of the larger angle will be given by the sum of the measures of each of the angles.

The segment RT is the combination of segments RS and ST, hence:

RT = RS + ST.

Hence the length of segment RS is given as follows:

41 = RS + 17

RS = 24.

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Answer:

10 \(\geq\) s*0.25 + a*0.75

Step-by-step explanation:

Assign variable for each game

s = number of Skeeball games

a = number of Air hockey games

Then write out what you know...

1. Total cost of Skeeball = s*0.25

2. Total cost of Air hockey = a*(3*0.25) -> a*0.75

So the inequality would be...

10 \(\geq\) s*0.25 + a*0.75

Yes, Amelia will make it to the best fishing spot on the lake if she drives her boat for 2/3 of an hour. To determine this, we can use the formula: distance = rate x time.

Amelia's boat travels 35 miles per hour, so her rate is 35 mph. She drives her boat for 2/3 of an hour, so her time is 2/3 hour.

Using the formula, we can find the distance that Amelia's boat travels:

distance = rate x time

distance = 35 mph x (2/3) hour

distance = 23.33 miles

Amelia's boat travels 23.33 miles in 2/3 of an hour. Since the best fishing spot is 27 miles away from her starting point and she has already traveled 23.33 miles, she is only 3.67 miles away from the best fishing spot.

Therefore, Amelia will make it to the best fishing spot on the lake if she drives her boat for 2/3 of an hour. She will only be a short distance away from the fishing spot, so she can easily reach it by driving her boat a little further.

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

Part 1: 19° C

Part 2: decay

Part 3: 11%

Don't drop out!! You'll hurt yourself if you do that! If you feel trapped/stuck, reach out for help from friends and teachers and parents. Find someone who can help you understand what you're learning and teach you. Study extra if you need to. But don't drop out.

Step-by-step explanation:

You've got the initial temperature down: the constant that the function multiplies is the initial condition/number/temperature/population/&tc. since that constant is 19, the initial temperature is 19° C.

However, this is not an exponential growth function. This is an exponential decay function. There are two ways to surmise this:

As for the percentage at which it is changing… erm, decreasing… that would be 100 times the difference of 1 – r. Here, r is the number in parentheses. First, let's solve for 1 – r. Here, r is 0.89, so 1 – 0.89 = 0.11, and now we just need to multiply by 100. Why?

Percentages are a fraction of 100. For example, 89% is equal to 0.89 and the fraction \(\frac{89}{100}\). Here, we multiply 0.11 to find the percentage of change. So we have 0.11 × 100 = 11%, and our rate of change is 11%. Thanks to breyanamyers5 who indirectly hinted at my mistake here!

I hope this is the explanation you were hoping for! Have a great day, and don't give up!!

Wait a second... this question was 3 months old. Whoops. Oh well.

Answer:

Yes, Chen is correct.

Step-by-step explanation:

Chen has 1/4 chance of getting a 4, whereas Megan has 1/5 chance of getting a 4.

1/4 = 0.25

1/5 = 0.20

Therefore, Chen is correct.

The slope of the regression line is  b=61.02 and y-intercept is a=3.12

Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the

Given,

The regression line is y=3.12+61.02 s

Here the slope is b=61.02

The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.

And the y-intercept is a=3.12

It is the distance estimated by this model if the speed is zero miles per hour.

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According to the given statements, we know that ballet dancers like classical music. Additionally, the second statement tells us that if you like classical music, then you enjoy the opera. By combining these two statements, we can infer that ballet dancers enjoy the opera. This conclusion is drawn using the Law of Syllogism.

The Law of Syllogism allows us to draw a conclusion by linking two conditional statements. In this case, the first statement ("Ballet dancers like classical music") serves as the first condition, and the second statement ("If you like classical music, then you enjoy the opera") serves as the second condition. By applying the Law of Syllogism, we can conclude that ballet dancers enjoy the opera.

In conclusion, based on the given statements, we can validly conclude that ballet dancers enjoy the opera. This conclusion is drawn using the Law of Syllogism.

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Answer:

( x - 1 ) ( 3 x − 4 )

Step-by-step explanation:

3 x 2 − 7 x + 4

For a polynomial of the form  

a x 2 + b x + c

, rewrite the middle term as a sum of two terms whose product is  

a ⋅ c = 3 ⋅ 4 = 12

and whose sum is

b = − 7 .

3 x 2 − 3 x − 4 x + 4

Factor out the greatest common factor from each group.

3 x ( x − 1 ) − 4 ( x − 1 )

Factor the polynomial by factoring out the greatest common factor,  

x − 1 . ( x − 1 ) ( 3 x − 4 )

7/11, and 63/99 = .636363636 [repeating]

The unknown value in the table using the constant of proportionality is; 96

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.

We are given the coordinates;

(12, 42), (18, 63), (40, y)

where x-values represents time in seconds and y-values represents number of pencils that were produced.

To find the constant of proportionality is as good as finding the slope between two consecutive points as;

m = (63 - 18)/(42 - 12)

m = (45/30)

m = 1.5

Thus to find the unknown value y, we will use the formula;

(y - y1)/x - x1) = m

So we will use the coordinates; (18, 63), (40, y)

Plugging them into the formula above will result in;

(y - 63)/(40 - 18) = 1.5

y - 63 = 1.5 * 22

y - 63 = 33

y = 33 + 63

y = 96

Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.

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