21 is what percent of 25?

Explanation:

The term "rising" will indicate that we should use positive 1/3 instead of negative 1/3.

Choices A and C use "decreasing" which is why they involve -1/3. This is why we can rule out these two choices.

Answer:

A

Step-by-step explanation:

1322.14 / 104.51 = 12.65

1:12.65

Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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The slope of the graph of function f(t) at the point (1/3,-9/4) is -7/4. This was obtained by finding the derivative of the function and evaluating it at t = 1/3. The result was confirmed using a graphing utility.

To find the slope of the graph of the function f(t) at the point (1/3, -9/4), we need to find the derivative of the function and evaluate it at t = 1/3.

Taking the derivative of f(t), we get:

f'(t) = -7/4

This means that the slope of the graph of f(t) is a constant value of -7/4 at every point on the graph.

To confirm this result using a graphing utility, we can plot the function f(t) and its tangent line at t = 1/3. The slope of the tangent line should be equal to the derivative of f(t) at t = 1/3.

Using an online graphing tool, we can plot the function f(t) = 3 - 7/4t and its tangent line at t = 1/3, which passes through the point (1/3, -9/4). The tangent line has the equation:

y - (-9/4) = (-7/4)(x - 1/3)

Simplifying, we get:

y = -7/4x - 3/4

The slope of this tangent line is -7/4, which matches the derivative of f(t) at t = 1/3. Therefore, our answer is confirmed.

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The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).

The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.

To calculate the correlation coefficient, we can use the formula:

r = sqrt(SSR/SST)

From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:

r = sqrt(12,323.64/13,538.4) = 0.9541

Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable

Complete Question:

Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541

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Answer: 110/290

Step-by-step explanation:

USE A PROTRACTOR

Answer:

\(5y - 23 + 7y + 5 = 90 \\ 12y - 18 = 90 \\ 12y = 108 \\ y = 9\)

Answer: Greater than 10.

Answer: B

Step-by-step explanation: desmos

Answer:

Simple, Just divide 15.00 by 3.58 to get the answer of 4.19

Step-by-step explanation:

15.00 ÷ 3.58 = 4.19

Answer:

15 and 20

Step-by-step explanation:

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

The probability notation for choosing a blue disk or a green disk is P ( B U G).

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

Probability = (number of blue discs / total number of discs) + (number of green discs / total number of discs)

3/8 + 5/8

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Step-by-step explanation:

\( - 5 - ( - 4) = - 5 + 4 = - 1 \\ - 4 - ( - 5) = - 4 + 5 = 1 \\ - 4 - (5) = - 4 - 5 = - 9 \\ 4 - ( - 5) = 4 + 5 = 9\)

Therefore ranking them from least to most:

\( - 4 - (5) \\ - 5 - ( - 4) \\ - 4 - ( - 5) \\ 4 - ( - 5)\)

Answer:

it'll look like the last one -7x + 2 = 16

The solution to the inequality -2x + 4 < 16 is x > -6.

To solve the inequality -2x + 4 < 16, you can follow these steps:

Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:

-2x + 4 - 4 < 16 - 4

-2x < 12

Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:

(-2x) / -2 > 12 / -2

x > -6

The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.

So, the solution to the inequality -2x + 4 < 16 is x > -6.

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Answer:

10E+3 <92

10(e:6) or any number

10(6)=60+3=63 <92

Step-by-step explanation:

Answer:

10e + 3 < 92

Step-by-step explanation:

Any number times ten plus three is less than 92. Like e = 3, which would be 10(3)+3, or 33. Any number that would make the statement true can be used in the place of e.

The left right hand derivative is 3.

The left hand derivative is 2.

The function is not differentiable at x = 1.

When x < 1,

given that the function is, f(x) = 2x² - 2x - 1

Differentiating with respect to 'x' we get, f'(x) = 4x - 2

When x \(\geq\) 1,

given the function is, f(x) = 3x - 3

Differentiating with respect to 'x', f'(x) = 3

Now, left hand derivative,

f'(1 -) = (4x - 2) at 1 = 4*1 - 2 = 4 - 2 = 2

f'(1+) = 3

Since, left hand derivative and right hand derivative for given function at x =  1 is not equal, so the function is not differentiable at x = 1.

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The constant variation of Y 8 when X 16 is 2.

What is Direct Proportion?

"When the relationship between two quantities is such that if we increase one, the other will also rise, and if we decrease one, the other quantity will also drop, then the two quantities are in a direct proportion," according to the definition of direct proportion. For instance, suppose there are two numbers, x and y, where x is the number of candies and y is the total amount of money spent. If we purchase more candy, we will be required to pay more, and if we purchase fewer candies, we will be required to pay less. This means that x and y are directly proportional to one another in this situation. The symbol for it is x y. Direct variation is another name for direct proportion.

So,

In the given question, we have:

y as 8 and x as 16;

So,

In order to find the proportional value, we have to divide the x quantity by the y quantity.

So, after dividing we get:

\(\frac{X}{Y} = \frac{16}{8}\)

\(\frac{X}{Y} = 2\)

So,

The constant proportion will be 2.

Hence,

The constant proportion will be 2.

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An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

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Answer:

Slope-intercept form is y = mx + b where m and b are the slope and y-intercept respectively. Since we know the values of m and b (-1 and 7) the answer is y = -x + 7.

Answer:

y=-x+7

Step-by-step explanation:

y=-x+7

The correct answer is (D) The full length to which it can be extended.

The size classification of an extension ladder indicates the full length to which it can be extended.
An extension ladder's size classification indicates the total length the ladder can reach when its fly section is fully extended.

This helps users determine if the ladder will be long enough for their specific needs when working at height.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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The solution to the given system of equations is x = -6 and y = 5

From the question, we are to solve the given system of equations.

The system of equations is

8x + 10y = 2

x + 2y = 4

From the second equation, we can write that

x = 4 - 2y

Substitute the expression for x into the first equation:

8x + 10y = 2

8(4 - 2y) + 10y = 2

Simplify and solve for y

32 - 16y + 10y = 2

-6y = -30

y = 5

Substitute the value of y into the second equation

x + 2y = 4

x + 2(5) = 4

x + 10 = 4

x = -6

Therefore, x = -6 and y = 5

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Answer:

A

Step-by-step explanation:

Answer:

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X between c and d is given by the following formula.

The time it takes me to wash the dishes is uniformly distributed between 11 minutes and 18 minutes.

This means that

What is the probability that washing dishes tonight will take me between 14 and 15 minutes?

14.29% probability that washing dishes tonight will take between 14 and 15 minutes.

The answer to this question is not as simple as a yes or no.

To determine if the medical care system is more efficient today than in the past, we must look at the effectiveness of the system in terms of both quality and cost. In terms of quality, today's medical care has certainly improved. Healthcare professionals are more extensively trained, technology has advanced, and medical practices are more evidence-based. In terms of cost, however, it is difficult to measure efficiency. While advancements in technology and research may have improved the quality of care, they have also driven up the cost of medical care. The cost of medical care has been increasing faster than inflation and wages. It is difficult to determine if the medical care system is more efficient today than in the past without taking into account both quality and cost.

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The tendency of group members to exert less effort when they work in groups than they would exert if they were acting alone is known as social loafing.

Social loafing is a common phenomenon that occurs when individuals feel that their individual effort will not significantly affect the group's overall performance or when they believe that other group members will compensate for their lack of effort.

This phenomenon can be observed in various group settings, such as in work teams, sports teams, and even in classroom group projects. The lack of accountability and the diffusion of responsibility that occur in groups can contribute to social loafing.

Social loafing can have negative consequences on group performance, as it can decrease the overall quality of the group's output and reduce motivation among group members.

To mitigate social loafing, it is important to establish clear roles and responsibilities for each group member and to provide regular feedback and recognition for individual contributions.

Additionally, creating a sense of collective identity and establishing group goals can also help to combat social loafing by promoting a sense of shared responsibility and commitment to the group's success.

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Answer:

80.9 kilometres =

8090000 centimetres

Length

80.9

kilometre

8090000

Centimeter