The population of Watesville decreases at a rate of 1. 6% per year. If the population was 62,500 in 2014, what will it be in 2020?

The percentage decrease in the price of the microwave is 51.82%.

Percentage is used to determine the relative value of a digit as a number out of a hundred. The sign that is used to represent percentages is %. In order to express a value as a percentage, multiply the number by 100. Percentage is a measure of frequency.

Percentage decrease = (change in price / initial price) x 100

Change in price = initial price - new price

$137 - $66 = $71

(71/137) x 100 = 51.82%

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

The Pyramidal numbers with a triangular base can be derived using the formula: Pn = 1 + 2 + 3 + ... + n = n(n+1)/2 where n is the number of layers of the pyramid.

This formula can be derived by adding up the number of objects in each layer, starting from one in the top layer and increasing by one in each subsequent layer until the base layer, which has n objects. Simplifying the equation gives the formula for pyramidal numbers with triangular base.

On the other hand, the Pyramidal numbers with a square base can be derived using the formula:

Pn = 1 + 2 + 4 + ... + 2^(n-1) = 2^n - 1

where n is the number of layers of the pyramid. This formula can be derived by doubling the number of objects in each layer starting from one in the top layer and continuing until the base layer, which has 2^(n-1) objects. Then, by summing up the number of objects in each layer, we get the formula for pyramidal numbers with a square base. Simplifying the equation gives the algebraic formula for pyramidal numbers with a square base.

Learn more about pyramid here

https://brainly.com/question/30615121

#SPJ11

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

Lol

Step-by-step explanation:

Answer:

Rosie is 10 years old

Step-by-step explanation:

A)

Rosie is x years old

Rosie's age (R) = x

R = x

Eva is 2 years older

Eva's age (E) = x + 2

E = x + 2

Jack is twice Rosie’s age

Jack's age (J) = 2x

J = 2x

B)

R + E + J = 42

x + (x + 2) + (2x) = 42

x + x + 2 + 2x = 42

4x + 2 = 42

4x = 42 - 2

4x = 40

\(x = \frac{40}{4} \\\\x = 10\)

Rosie is 10 years old

Answer:

6.4 inches

Step-by-step explanation:

Area= (a+b)/2 x h

64 in^2= (8+12)/2 x h

= 20/2 x h

= 10 x h

64 in^2 / 10 = height of 6.4 inches

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

PIX>26) is greater than PX<26).

The probability PX<26) represents the probability that the length of product X is less than 26 inches. Since the mean (u) is given as 30 inches, PX<26) corresponds to the left tail of the normal distribution curve.

On the other hand, the probability PIX>26) represents the probability that the length of product X is greater than 26 inches. Since the normal distribution is symmetric, the right tail of the distribution is mirrored to the left tail. Therefore, PIX>26) corresponds to the area under the right tail of the normal distribution curve.

As the left tail (PX<26)) has a smaller area under the curve compared to the right tail (PIX>26)), it means that PIX>26) is greater than PX<26). However, the exact comparison between the two probabilities cannot be determined without knowing the value of the standard deviation (σ) of the product's length distribution.

For more questions like Probability click the link below:

https://brainly.com/question/30034780

#SPJ11

The values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing are (-∞, -3) and (1, +∞).

To find the values of x for which the function f(x) = x³ + 3x² - 9x + 7 is increasing, we need to take the derivative of the function and determine where the derivative is positive.

f(x) = x³ + 3x² - 9x + 7

f'(x) = 3x² + 6x - 9

To find where f(x) is increasing, we need to find the values of x where f'(x) > 0.

3x² + 6x - 9 > 0

Simplifying this inequality, we get

x² + 2x - 3 > 0

Factoring the left side of the inequality, we get

(x + 3)(x - 1) > 0

The critical points of f(x) occur when f'(x) = 0 or when the denominator of f'(x) is undefined. The denominator of f'(x) is always defined, so we only need to find where f'(x) = 0

3x² + 6x - 9 = 0

Dividing both sides by 3, we get

x² + 2x - 3 = 0

Factoring the left side of the equation, we get

(x + 3)(x - 1) = 0

So the critical points of f(x) are x = -3 and x = 1.

Now we can use a sign chart to determine the intervals where f'(x) > 0.

Learn more about critical points here

brainly.com/question/30325317

#SPJ4

The given question is incomplete, the complete question is:

What are all values of x for which the function f is defined by f(x)= x³ +3x² -9x +7 is increasing?

Answer:

Tn = -n^2 - n + 21 is the formula for the nth term.

Step-by-step explanation:

The second differences are all equal in this quadratic sequence.

Now, the quadratic sequence has a formula of Tn = an^2 + bn + c

Find the value of a in an^2 by dividing the difference by 2:

-2/2 = -1

a = -1

Since T1 is 19 and T2 is 15 we can put that into the equation and simplify:

b + c = 20

2b +  c = 19

Thus, b = -1 , c = 19 and the general formula for the nth term is Tn = -n^2 - n + 21

Answer:

Tn = -n^2 - n + 21

Answer:

                              126

                    P = -------------

                              2 - r

Step-by-step explanation:

Solve for P:  P(2-r)-17=109

Combining the constant terms:

                     P(2 - r) = 126

Dividing both sides by (2 - r) isolates P:

                              126

                    P = -------------

                              2 - r

Answer:

The answer is 89 over 100!

Step-by-step explanation:

I have already said this but i saw it again so decided to help again!

<3

Answer:

The 3 in that longest number I have seen in the world is 30 Billion.

Step-by-step explanation:

Million: 6 places before

Billion: 9 places before

Hope this helps!

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

For the graph given, the domain lie across the x-axis.

The range is possible y values. Since we can use negative x values, if we plug in x values for the function, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

Learn more on domain and range here:

https://brainly.com/question/27242650

#SPJ1

Answer:

answer is in explanation

Step-by-step explanation:

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

How to find the domain and range of a function?

The domain of a function is the input value for which the function exists while the range is the output value for which the function exists.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

For the graph given, the domain lie across the x-axis.

The range is possible y values. Since we can use negative x values, if we plug in x values for the function, we are going to get positive numbers, as we plug in higher negative numbers, our range is bigger.

The domain of the function is [2, 2) And the range is (3, 3) (along the y -axis).

click underlying link for more help on domain and range:

brainly.com/question/27242650

#SPJ0

The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:

PE = mgh

Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.

PE_cylinder = mgh_cylinder  ... (1)

PE_sphere = mgh_sphere  ... (2)

Since the initial velocity and mass are the same for both objects, we can equate their potential energies:

PE_cylinder = PE_sphere

mgh_cylinder = mgh_sphere

h_cylinder = h_sphere

Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

learn more about potential energy here:
https://brainly.com/question/24284560

#SPJ11

The height of the oak tree in front of Igor's castle is approximately 57.27 ft. To find the height of the oak tree, we can use the principle of similar triangles.

The height of the tree can be determined by comparing the ratio of the height of Igor to the distance between Igor and the mirror with the ratio of the height of the tree to the distance between the mirror and the tree.

Let's represent the height of the oak tree as 'h'. According to the problem, Igor's eye height is 4.5 ft, and he is 5.5 ft away from the center of the mirror. The mirror is placed 70 ft from the tree.

Using the similar triangles concept, we can set up the following proportion:

(height of Igor) / (distance between Igor and mirror) = (height of tree) / (distance between mirror and tree)

Plugging in the given values, we have:

4.5 ft / 5.5 ft = h / 70 ft

Solving this proportion, we find:

(4.5 ft * 70 ft) / 5.5 ft = h.

For more such questions on Triangles:

https://brainly.com/question/2217700

#SPJ8

Answer:

The mode is 78, which appears the most times (3).

The mode of the given data 62, 78, 84, 62, 72, 78, 54, 60, 78, 80 is 78.

The mode is the data that occurs most frequently, in the data set listed below 62, 78, 84, 62, 72, 78, 54, 60, 78, 80. We can see that the number 78 appears three times, which is more than any other value in the set when we look at the data.

Note: If multiple values occur with the same highest frequency, but in this case, 78 is the only mode, the data set may have multiple modes.

Thus, the mode of 62, 78, 84, 62, 72, 78, 54, 60, 78, and 80 data set is 78.

Learn more about Mean, Median, and Mode:

https://brainly.com/question/14532771

Answer:

x ≤ 4

Step-by-step explanation:

x ≤ 4

A closed circle means ≤ or ≥

An open circle means < or >

As the shaded area is to the left of 4,   x ≤ 4

Answer:

#3

Step-by-step explanation:

You can tell if a table is linear, if the slope is constant within the graph. #3 is the only option that has a constant slope. In the others, if you pick different points from that same table the slope changes. That is how you know that is not a linear function.

A linear equation is an equation in which each term has at max one degree. The table that represents a linear function is Table 3. Thus, the correct option is 3.

A linear equation is an equation in which each term has at max one degree. Linear equations in variables x and y can be written in the form

y = mx + c

Linear equation with two variables, when graphed on a cartesian plane with axes of those variables, gives a straight line.

For the table to represent a linear function, the function must have a constant slope between any two points.

For the third table, the slope between the first two points is,

\(m = \dfrac{(- 10 + 2)}{(2 - 1)}\)

\(m = - 8\)

The slope between the last two points is,

\(m = \dfrac{(- 18 + 10)}{(2 - 1)}\)

\(m = - 8\)

Hence, the table that represents a linear function is Table 3. Thus, the correct option is 3.

Learn more about Linear equations:

brainly.com/question/27465710

#SPJ6

Answer:

A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

Step-by-step explanation:

hope this helped ✨

Answer:

A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

Step-by-step explanation:

a) The exact circumference of the circle is given as follows: 20π yd.

b) The approximate circumference of the circle is given as follows: 62.8 yd.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for the circle in this problem is given as follows:

r = 10 yd.

Hence the circumference of the circle is given as follows:

C = 2π x 10

C = 20π yd.

For the approximation, we consider π = 3.14, hence:

C = 20 x 3.14

C = 62.8 yd.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Answer:

Step-by-step explanation:

Try dividing the first equation by 3.  The result will be identical to the second equation.  Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.

Potential sources of error when estimating body composition from an equation include measurement inaccuracies, individual variations, and assumptions made by the equation.

When estimating body composition from an equation, it is important to consider the potential sources of error that can impact the accuracy of the results. One of the primary factors is measurement inaccuracies, which can arise from errors in the equipment used, such as body fat analyzers or bioelectrical impedance devices. Even small deviations in measurements can lead to significant differences in the estimated body composition.

Another source of error is the natural variations that exist among individuals. People have different body shapes, sizes, and distributions of fat and muscle. Estimation equations are often based on average population data, and they may not accurately capture the unique characteristics of an individual. This can result in overestimation or underestimation of body composition parameters.

Furthermore, the equations used for estimating body composition often rely on certain assumptions about the relationship between variables, such as the density of fat and lean tissue or the hydration level of the body. These assumptions may not hold true for all individuals, leading to errors in the estimation process.

In conclusion, when estimating body composition from an equation, it is crucial to be aware of the potential sources of error. Measurement inaccuracies, individual variations, and assumptions made by the equation can all contribute to errors in the estimation process. Understanding these limitations and considering them in the interpretation of results is important for obtaining a more accurate assessment of body composition.

Learn more about  potential sources of error

brainly.com/question/8653749

#SPJ11

Answer:

4:15?

Step-by-step explanation:

Answer:

4:15

or

4/15

Step-by-step explanation:

Krusty Krab Is Unfair Trap Remix

^^

The statement is true. If the row [0 0 0 1 0] is in echelon form of an augmented matrix, then the associated linear system is always consistent. This means there is at least one solution to the system of linear equations.

Echelon form is a type of row-echelon form that has specific properties. In echelon form, the leading coefficient (non-zero element) of each row is strictly to the right of the leading coefficient of the row above it. In the given row [0 0 0 1 0], the leading coefficient is 1, and it is the only non-zero element in the row.

In an augmented matrix, the rightmost column represents the constants or the right-hand side of the linear equations. Since the leading coefficient in the given row is 1 and there are no non-zero elements to the left of it, this implies that the associated linear equation is of the form 0x + 0y + 0z + w = 0. This equation simplifies to w = 0.

Since w is a free variable and its value can be chosen as 0, the linear system is consistent. Every consistent system has at least one solution, and in this case, the solution is when w = 0, while x, y, and z can take any values.

Therefore, if [0 0 0 1 0] is one row in an echelon form of an augmented matrix, the associated linear system is always consistent.

Learn more about echelon form here: brainly.com/question/28767094

#SPJ11

Answer:

y is the dependent variable and it is the total amount of money that she has saved.  

X is the dependent variable and it is the number of months that she has saved.

Step-by-step explanation:

y = 15x + 50

This is what the equation would look like.  If you tell me how many months she has saved, I can tell you how much is in her account.

Answer:

–500 N

Step-by-step explanation:

Action and reaction forces are equal in magnitude but opposite in direction. The negative sign indicates opposite direction (Refer to Newton's 3rd Law of motion).

Answer:

The interval estimate is:

41.5 - 2.45 ≤ true average time ≤ 41.5 + 2.45

or

38.05 ≤ true average time ≤ 44.95

Inequality notation:

[38.05, 44.95]

The interval estimate that will estimate the true average time that people spend brushing their teeth is [39.05, 43.95] seconds.

Given that the mean time spent brushing teeth from the sample is 41.5 seconds, and the margin of error is 2.45 seconds, we can construct a confidence interval estimate using the formula:

(sample mean) ± (margin of error)

Substituting the given values, we get:

41.5 ± 2.45

Simplifying, we get:

[39.05, 43.95]

Therefore, we can be 95% confident that the true average time that all people spend brushing their teeth falls within this interval.

To learn more about average here:

brainly.com/question/24057012#

#SPJ11

Answer:

The correct answer is:

Error made: The student multiplied only corresponding terms in each bracket with each other

Correction: Each term in one bracket is to be multiplied with every term in the next bracket

Step-by-step explanation:

The student paired the terms in the brackets into like terms and multiplied the like terms like this:

(2x + 2) × (4x - 1)  

collecting like terms: (2x, 4x) (2, -1)

(2x × 4x) (2 × (-1)) = 8x² - 2.

The above is the wrong way of expanding the bracket. The correct way of doing it is as follows:

(2x + 2) (4x - 1)

Each term in one bracket multiplies each term in the second bracket.

= 2x (4x - 1) + 2(4x -1)

= 8x² - 2x + 8x - 2

= 8x² + 6x - 2

Answer: This can not be simplified anymore. So the answer is 14a-72r-c-34d

Step-by-step explanation: Please give me a brainliest