Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,

To find Malika's total balance after one year, she should multiply her current balance by 1.06.

percentage, a relative value indicating hundredth parts of any quantity.

The total balance after one year of simple interest is:

Total balance = Principal x (1 + Rate x Time)

Since Malika is not adding or removing any money from her investment, her principal will remain the same.

Therefore, to find her total balance after one year of simple interest at a rate of 6%, she should multiply her current balance by 1.06.

Hence, to find Malika's total balance after one year, she should multiply her current balance by 1.06.

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Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.

When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:

Representation:

An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.

Communication of Information:

Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.

Variables:

Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.

Visualization:

Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.

Flexibility:

Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.

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Answer:

It would be the second one I think.

Step-by-step explanation:

Answer:

x<7

Step-by-step explanation:

Answer:

-8 > (-10)

Step-by-step explanation:

4(-2)=-8

5(-2)=-10

So that means that -8 is greater than -10

Answer:

Step-by-step explanation:

{ √2 , - √2 }

{ 5 , - 5 }

{ √21 , - √21 }

{ √10 , - √10 }

No real solutions

Answer:

\( - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864\)

________o____o_____

30–(x+5)=7x-7

30 – x–5 =7x -7

7x+x = 30-5+7

8x = 32

x= 32/8

x=4

I hope I helped you^_^

The correct option is c. Analysis of variance.

ANOVA stands for Analysis of Variance, which is a statistical method used to test the equality of three or more population means by analyzing the variance between samples.

In an ANOVA, the variance is partitioned into different components, including the variance between groups and the variance within groups. If the variance between groups is larger than the variance within groups, it suggests that there are significant differences between the means of the groups being compared.

ANOVA is commonly used in experimental research to test the effects of one or more independent variables on a dependent variable. It allows researchers to determine whether the means of different groups are significantly different from one another, and if so, which groups are significantly different.

Overall, ANOVA is a powerful statistical tool that enables researchers to test hypotheses and draw conclusions about the differences between multiple groups or treatments.

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In conclusion, the probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be calculated by using the binomial distribution formula or by visually representing the data in a probability tree diagram.

The probability that 45 or more people in a sample of fifty 18-20 year olds have consumed alcoholic beverages is 0.0006. This can be determined by using the binomial distribution formula. The formula states that the probability of getting x successes in n trials is equal to nCr x (p)x (1-p)n-x, where n is the number of trials (in this case, 50), p is the probability of success (69.7%), and x is the number of successes (45). By plugging these values into the formula, we obtain a probability of 0.0006.

In addition to the binomial distribution formula, we can also use a visual representation such as a probability tree diagram to represent the given data. The probability tree diagram can be used to show the number of ways a certain outcome can occur. In this case, it would be the probability of 45 or more people in the sample of fifty 18-20 year olds consuming alcoholic beverages. The probability tree diagram consists of a trunk which branches off into multiple possible outcomes. At the end of each branch, there is a probability that corresponds to the probability of the given outcome occurring.

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When measuring the effects of a new diuretic medication, hourly urine output represents the ratio level of measurement.

What is ratio level of measurement?

Ratio level of measurement is a type of measurement that features a true zero point, meaning that the value 0 represents the absence of the characteristic being measured.

Some examples of ratio level measurements include weight, height, length, distance, speed, and many others. In this case, the hourly urine output of subjects is measured to determine the effects of a new diuretic medication.

The hourly urine output is a ratio measurement because it has a true zero point, which is the absence of urine output. In other words, if there is no urine output, the value would be 0, which represents the absence of the characteristic being measured.

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The image of D surely lies on the ray BA ,as ray BA is antiparallel to the ray BD.

Consider D’ to be the image of point D obtained ,when D is rotated 180 degrees anti-clockwise(or counter-clockwise),with B as center of rotation.

From the image above,it is clear that the rays BA and BD are antiparallel.

A ray is a segment of a line with a starting point and an infinite length in one direction.

Antiparallel rays are the rays which are parallel but oppositely directed.The angle between such rays is 180 degrees.

Hence,D’ must lie on the ray BA, as ray BA is antiparallel to BD(i.e the angle between the rays is also 180 degrees).

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The minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, given a satellite orbiting at a height of 140 km, is approximately 0.062 meters or 6.2 cm.

To determine the minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, we can use the Rayleigh criterion. The Rayleigh criterion states that two points can be resolved if the central maximum of one point falls on the first minimum of the other point's diffraction pattern. The formula for the minimum resolvable angle is given by:

θ = 1.22 × (λ / D)

where:

θ is the minimum resolvable angle,

λ is the wavelength of light,

D is the diameter of the lens aperture.

In this case, we have the following values:

Separation between points (d) = 7 cm = 0.07 m

Wavelength (λ) = 550 nm = 550 × 10⁻⁹ m

To find the minimum lens aperture (D), we need to rearrange the formula as follows:

D = (1.22 × λ) / θ

Now, we need to find the minimum resolvable angle (θ). The angular resolution can be determined by the formula:

θ = d / r

where d is the separation between points and r is the distance to the satellite, which is the sum of the Earth's radius and the satellite's height.

The Earth's radius is approximately 6,371 km, so the distance to the satellite is:

r = Earth's radius + satellite's height

r = (6,371 km + 140 km) = 6511 km = 6,511,000 m

Now we can calculate the minimum resolvable angle:

θ = d / r

θ = 0.07 m / 6,511,000 m

θ ≈ 1.074 x 10⁻⁸ radians

Now we can substitute this value along with the wavelength into the formula for D

D = (1.22 × λ) / θ

D = (1.22 × 550 × 10⁻⁹ m) / (1.074 x 10⁻⁸ radians)

D ≈ 0.062 m

Therefore, the minimum lens aperture (diameter) required to resolve points separated by 7 cm with 550 nm light, given a satellite orbiting at a height of 140 km, is approximately 0.062 meters or 6.2 cm.

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Part A

Answers:

-------------------------

Explanation:

The two terms are separated by a plus sign. Since we have two terms, we have a binomial.

The variables are p and q, acting as placeholders for unknown numbers.

The coefficients are the numbers to the left of the variables, which are the 4 and 7.

The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.

==============================================

Part B

Answer:   t^3 - 20t + 26

-------------------------

Explanation:

We have an expression of the form

(6t^3-3t+5) - x = (5t^3 + 17t - 21)

which rearranges to

-x = (5t^3 + 17t - 21) - (6t^3-3t+5)

-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5

-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)

-x = -t^3 + 20t - 26

x = -(-t^3 + 20t - 26)

x = t^3 - 20t + 26

"The correct answer is B) 7 toppings." The Carla's pizza had 7 toppings.

To find out how many toppings were on Carla's pizza, we need to solve the equation by setting the cost of the pizza equal to the amount Carla paid.

The given function is f(t) = 10.25 + 1.25t, where t represents the number of toppings on the pizza.

Carla paid $19.00 for the pizza.Setting up the equation, we have:

10.25 + 1.25t = 19.00

Subtracting 10.25 from both sides:

1.25t = 8.75

Dividing both sides by 1.25:

t = 7.

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The solution for x is 621.5424 M \(s^{-1}\), with units of molar per second (M \(s^{-1}\)).

To solve for x in the equation x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3, we can simplify the expression and calculate the result. Let's break it down step by step: x = (6.4×10^3 M^(-2) s^(-1))(0.46M)^3

First, let's simplify (0.46M)^3: (0.46M)^3 = (0.46^3)(M^3) = 0.097336M^3

Now, substitute this back into the equation:

x = (6.4×10^3 M^(-2) s^(-1))(0.097336M^3)

Next, multiply the terms: x = 6.4×10^3 × 0.097336 M^(-2) s^(-1) M^3

When multiplying the terms with the same base, we add the exponents:

x = 6.4×10^3 × 0.097336 M^(-2 + 3) s^(-1)

Simplifying the exponent: x = 6.4×10^3 × 0.097336 M^(1) s^(-1)

Now, multiply the numerical values: x = 621.5424 M s^(-1)

Therefore, the solution for x is 621.5424 M s^(-1), with units of molar per second (M s^(-1)).

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Answer:

B, 16.1

Step-by-step explanation:

cos 36 = 13/x

cos 36 × x = 13

x = 13/cos 36

(Use Calculator)

x = 16.068883...

x ≈ 16.1

Step-by-step explanation:

I hope you wrote the equation correctly.

there could be parts missing. and exponents be wrong.

I am concerned, because the missing parts are not just numbers. they are full terms in the variable p.

so, well, the right side is

p³ - 2p + 3p = p³ + p

on the left side we have

a(p² -2) - p(2p³ - b)

ap² - 2a - 2p⁴ - pb

so, the first thing we see : we need to eliminate the p⁴ terms, because there are none on the right side.

so,

a = 2p²

that gives us

2p⁴ - 4p² - 2p⁴ - pb = -4p² - pb

let's see, if we can create the missing items just by "b" (and we have to get rid of -4p²) when we bring left and right sides together again :

-4p² - pb = p³ + p

p³ + p + 4p² = -pb

b = (p³ + p + 4p²)/-p = -p² - 1 - 4p

so,

the equation would look like

2p²(p² - 2) - p(2p³ - (-p² - 1 - 4p)) = p(p² - 2) + 3p

which could be also written as

2p²(p² - 2) - p(2p³ + p² + 1 + 4p) = p(p² - 2) + 3p

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

From the question, we have the following parameters that can be used in our computation:

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Answer:

42.50 ÷ 8.50 = p

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

Answer:

60 square units; 40 units

Step-by-step explanation:

to find the missing side you use the pythagorean theorem

a^2 + b^2 = c^2

8^2 + b^2 = 17^2

64 + b^2 = 289

b^2 = 225

b = 15

area is l*h*1/2

15 * 8 * 1/2 = 60 square units

perimeter is adding them all

15 + 8 + 17 = 40 units

The probability of having to try three or more times is = 431/46656.

To find the probability of having to try three or more times to get all three dice to show the same number, we need to consider the probabilities of different outcomes.

On the first roll, all three dice can show any number with equal probability, so the probability of not getting a match on the first roll is 1.

On the second roll, we want to calculate the probability of not getting a match again. There are two cases to consider:

Since we want to calculate the probability of having to try three or more times, we are interested in the event where we do not get a match on the first two rolls.

Therefore, the probability of this event is \((215/216)^2\) = 46225/46656.

Thus, the probability of having to try three or more times is 1 - 46225/46656

= 431/46656.

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4x + 8y = -40

if x = -6

4(-6) + 8y = -40

-24 + 8y = -40

8y = -40 + 24

8y = - 16

y = -16/8

y = -2

Answer:

Step-by-step explanation:

To find value of y

4x + 8y = -40

x = -6

=> 4x + 8y = -40

[By putting the value of x = -6 then ]

=> 4×(-6) + 8y = -40

=> -24 + 8y = -40

=> 8y = -40 + 24

=> 8y = -16

\( = > y = \frac{ - 16}{8} \)

=> y = -2

Hence, required value of y is -2 (Ans)

Answer:

1

Step-by-step explanation:

The value of h(3) basically means what y-value does the function h have when x=3 ?

Looking at the graph, when x is 3, the y value is 1.

h(3)=1

A two-sided confidence interval is appropriate because the research question is about whether the average mileage is significantly different from 300 miles.

(a) To determine if a one-sided or two-sided confidence interval is appropriate for this situation, we need to consider the research question and the nature of the hypothesis being tested. If the research question is specifically focused on whether the average mileage is less than or greater than 300 miles, then a one-sided confidence interval would be appropriate. On the other hand, if the research question is broader and seeks to determine whether the average mileage is significantly different from 300 miles (i.e., it could be less or greater), then a two-sided confidence interval would be appropriate.

(b) To compute a 95% confidence interval, we can use the formula:

CI =X ± (Z * (σ/√n))

Where X is the sample mean, Z is the z-value corresponding to the desired confidence level (in this case, 95% corresponds to Z = 1.96 for a large enough sample), σ is the population standard deviation (unknown, so we use the sample standard deviation), and n is the sample size.

Plugging in the given values:

CI = 285 ± (1.96 * (50/√226))

Simplifying the expression:

CI = 285 ± (1.96 * 3.322)

CI = [278.15, 291.85]

Interpretation: The 95% confidence interval for the average mileage from Pullman to home is [278.15, 291.85]. This means that we are 95% confident that the true average mileage of all Washington State University students falls within this interval. It suggests that based on the sample data, the average mileage is likely to be between 278.15 and 291.85 miles.

(c) If the confidence level is decreased to 90%, the new confidence interval will be narrower since a smaller confidence level requires less certainty, resulting in a narrower interval. Conversely, if the confidence level is increased to 99%, the new confidence interval will be wider as a higher confidence level demands greater certainty, leading to a wider interval to capture a larger range of potential values. Therefore, the answer is D. narrower for a confidence level of 90% and A. wider for a confidence level of 99%.

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On solving the provided question we can say that The result of multiply the total number of kids by the proportion of those who enjoy chocolate is 12

Along with addition, subtractiοn, and division, multiplication is one of the four arithmetic operations. Multiplicatiοn in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals prοduct.

Specifically, multiplicand: First number (factοr). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is knοwn as the product. Multiple additiοns are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20, I multiplied 5 by 4 times. Multiplication is frequently referred tο as "doubling" because οf this.

The result of multiply the tοtal number of kids by the proportion of those who enjoy chocolate is

32 × 3/8 = 12

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The complement of set A, denoted by ​ A`, is the collection of all elements that belong to the universal set but are not part of set A. It's not necessary to mention the universe (also known as U) if it's understood which set of elements is being referred to.

The complement of a set A is the collection of all elements that belong to the universal set but not to set A. It is denoted as ​ A` and does not include any elements that are already in set A. The universal set, also known as U, contains all possible elements and is assumed to be known. Therefore, when referring to the complement of a set, it is not necessary to mention the universal set explicitly. The complement of a set is useful in determining the set of elements that are not part of a particular set, and it can be used in various mathematical operations.

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Answer:

y would equal 6 if x is the start of the pattern

there are also many more answers that go with this question fyi that is only one of them

Step-by-step explanation:

hoped that help:P

The correct translation of or logically equivalent to 73 x 7T(x) is this: A. Some meals are tasty.

In the statement, we are told that the predicate, T(x) denotes that x is tasty. In the mathematical expression, we have a resentation of T(x) as 7T(x).

What this expression then means is that there are certain numbers within the given domain that satisfy the condition of being tasty. So,t he best translation is A which specifies that some meals are tasty.

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Complete Question:

Let the predicate T(x) denote that x is tasty and let our domain be a set of meals. What is a correct translation of or logically equivalent to 73 x 7T(x)?

Some meals are tasty. No meal is tasty Some meals are not tasty. No meals are not tasty. Not all meals are tasty. All meals are tasty. There is a meal that is not tasty.

Answer:

(3,−4),(7,−2),(0,−1),(−3,4),(−7,11)

How to find?

Inverse the \(x x\) and \(yy\) in each of the points location.

Want some pictures?

Look below, there will be a screenshot of a graph I made.

Thanks!

Answered by: FieryAnswererGT

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The correct expression which can be used to find AC is,

⇒ 7.8 (cos 23°)

We have to given that;

A triangle ABC shown in figure.

Now, We can formulate;

cos 23° = AC / AB

cos 23° = AC / 7.8

AC = 7.8 (cos 23°)

Thus, The correct expression which can be used to find AC is,

⇒ 7.8 (cos 23°)

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we have the function

f(x)=sinx+2

using a graphing tool

see the attached figure

Convert the ordered pairs to points without pi

so

(0,2) ------> (0,2)

(pi/2,3) ----> (1.57,3)

(3pi/2,1) ----> (4.71,1)

(-pi/2,1) ---> (-1.57,1)

(-3pi/2,3) ---> (-4.71,3)

Plot the ordered pairs, and join them to graph the function in your sheet