a spherical balloon has volume v and radius r . by what factor is its radius reduced if you let enough air out of the balloon to reduce its volume by a factor of 27.0?

Answer:

They spent $600 on costumes.

Step-by-step explanation:

10% = $800 ÷ 10 = $80

20% = $80 x 2 = $160

50% = $800 ÷ 2 = $400

5% = $80 ÷ 2 = $40

400 + 160 + 40 = $600

Hope this helps!

Step-by-step explanation:

On solving the query we can say that In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.

Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

Let's investigate each choice:

A: 3x - 4y = -2

We must put y on one side of the equation in order to describe y as a function of x. We may do this by dividing by -4 after removing 3x from both sides:

-4y = -3x - 2 y = (3/4)x + 1/2

C: x² - 3y = 0

We must isolate y in order to express y as a function of x. This may be done by dividing by -3 after removing x2 from both sides of the equation: y = (1/3)x2.

The condition is met by option C since this equation expresses y as a function of x.

In conclusion, while option D does not meet the condition, alternatives A, B, and C are equivalent to equations that represent y as a function of x.

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The equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

The equation that expresses y as a function of x is y = f(x). To be equivalent to this equation, an equation must also express y as a function of x. Let's examine each equation:

A: 3x-4y=-2 can be rewritten as y = (3/4)x + 1/2, which expresses y as a function of x. Therefore, A is equivalent to an equation that expresses y as a function of x.

B: x-y⁴=0 can be rewritten as y = ±√x, which expresses y as a function of x. Therefore, B is equivalent to an equation that expresses y as a function of x.

C: x²-3y=0 can be rewritten as y = (1/3)x², which expresses y as a function of x. Therefore, C is equivalent to an equation that expresses y as a function of x.

D: lxl + lyl = 2 does not express y as a function of x because for every x value, there are two possible y values that satisfy the equation. Therefore, D is not equivalent to an equation that expresses y as a function of x.

Therefore, the equations that are equivalent to an equation that expresses y as a function of x are A, B, and C.

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There are n - 2 (48) numbers between the sequence.

Perfect squares are numbers having a postive integers as its root without remainder

Given the sequences

\($1,4,9,16,25\ldots2500.$\)

The nth term of the sequence is expressed as:

g(n) = n²

Given that the last term is 2500. Substitute:

2500 = n²

n = √2500

n = 50

Hence there are n - 2 (48) numbers between the sequence.

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The probability of a randomly selected dog being deaf is 0.194.

Given that 8% of dogs in a certain breed are white and if a dog is white, the probability it will be deaf is 70% while if it is not completely white, the probability of deafness is 15%.

Let A = The probability that a randomly selected dog is white.

A = 8% = 0.08.

Let B = The probability that a randomly selected white dog is deaf.

B = 70% = 0.70.

Let C = The probability that a randomly selected non-white dog is deaf.

C = 15% = 0.15.

Now, the probability of a randomly selected dog being deaf can be calculated as follows;`

P(dog is deaf) = P(white dog is deaf) + P(non-white dog is deaf)`

We know that `P(white dog) = 0.08` and `P(non-white dog) = 1 - P(white dog) = 1 - 0.08 = 0.92`

Therefore, the probability of a randomly selected dog being deaf is:

P(dog is deaf) = P(white dog is deaf) + P(non-white dog is deaf)`

P(dog is deaf) = (P(white dog) × P(white dog is deaf)) + (P(non-white dog) × P(non-white dog is deaf))`

Substituting the respective probabilities in the above equation, we get:

P(dog is deaf) = (0.08 × 0.70) + (0.92 × 0.15)P(dog is deaf) = 0.056 + 0.138 = 0.194

Therefore, the probability of a randomly selected dog being deaf is 0.194.

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Answer:

This is a geometric sequence.

The width of a rectangular frame with a total area of 140 square inches, we set up an equation using the expressions for the length and width, simplify it, solve for x, and substitute the value of x into the expression for the width.

To solve for the width of a rectangular frame with a total area of 140 square inches, we first need to set up an equation using the given expressions for the length and width.
The formula for the area of a rectangle is length x width. Therefore, we can write:
(2x + 10)(2x + 6) = 140
We can then simplify this equation by expanding the expressions in the parentheses:
4x^2 + 32x + 60 = 140
Next, we can move all the terms to one side and simplify further:
4x^2 + 32x - 80 = 0
Now, we can solve for x by factoring or using the quadratic formula. After finding the value of x, we can substitute it into the expression for the width (2x + 6) to get the final answer.

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The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two. Therefore, the answer to the question is B) 25.

We are given the initial value of the Count as 23. The statement Count = Count + 2 assigns the value of the Count variable to itself, incremented by two.

This implies that the value of Count is 23+2= 25 after the statement is executed.

In other words, the right-hand side of the equals sign is evaluated before the value is assigned to the left-hand side of the equals sign.

In this case, the right-hand side is Count + 2, which is equal to 23+2= 25.

The value 25 is then assigned to the variable Count on the left-hand side of the equals sign.

As a result, the value of Count after executing the statement Count = Count + 2 is 25.

Thus, option B) 25 is the correct answer to the given question.

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Answer:

A:the amount of time both plants spend in the light

There is no sufficient evidence at the 0.01 level of significance to conclude that the proportion of women physicians at the university health system exceeds 27.9%.

To answer your question, we'll perform a hypothesis test using the given information. We'll test if the proportion of women physicians at the university health system exceeds 27.9%. Here's the setup:

Null hypothesis (H0): p = 0.279 (The proportion of women physicians is 27.9%)
Alternative hypothesis (H1): p > 0.279 (The proportion of women physicians exceeds 27.9%)

In this case,
- Sample size (n) = 119
- Number of women physicians in the sample (x) = 34
- Significance level (α) = 0.01

Now, we'll calculate the sample proportion (p') and the test statistic (z):

p' = x / n = 34 / 119 ≈ 0.2857

z = (p' - p) / √(p * (1-p) / n) ≈ (0.2857 - 0.279) / √(0.279 * (1-0.279) / 119) ≈ 0.467

Next, we'll find the critical z-value for the given significance level (α):

For a one-tailed test with α = 0.01, the critical z-value (z_critical) is approximately 2.33.

Now, compare the test statistic (z) with the critical z-value (z_critical):

Since z ≈ 0.467 is less than z_critical ≈ 2.33, we fail to reject the null hypothesis.

In conclusion, we do not have sufficient evidence to conclude that the proportion of women physicians at the university health system exceeds 27.9% at the 0.01 level of significance.

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Cluster sampling is a sampling technique used in statistics and research methodology where a population is divided into groups, or clusters, and a sample is randomly selected from each cluster to be included in the study.

This method is often used when it is difficult or impractical to obtain a simple random sample of individuals from a large and diverse population. For example, in a study of public schools in a state, it may be easier to randomly select a sample of schools and then include all students in those schools in the study, rather than attempting to randomly select individual students from the entire state.

The advantages of cluster sampling include lower costs and greater efficiency than other sampling techniques, particularly when working with large populations. However, it can also increase the risk of sampling bias and decrease the precision of estimates if the clusters are not representative of the larger population. Therefore, it is important to carefully choose clusters that are as heterogeneous as possible within and as similar as possible between clusters.

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The probability that a student has been to the United Kingdom or Japan is 0.66.

This can be calculated using the following formula:

P(A or B) = P(A) + P(B) - P(A and B)

In this case, P(A) is the probability that a student has been to the United Kingdom, P(B) is the probability that a student has been to Japan, and P(A and B) is the probability that a student has been to both the United Kingdom and Japan.

Therefore, the probability that a student has been to the United Kingdom or Japan is:

P(A or B) = 0.28 + 0.52 - 0.14 = 0.66

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First, we multiply the first equation by 5 and the second equation by 7, then subtract the first equation from the second equation to eliminate y. Next, we substitute x = 11/2 into one of the original equations to solve for y. The solution is (x, y) = (11/2, 2). To find the value of y2, we square the value of y.

A mathematical statement known as an equation utilizes the equal symbol (=) to demonstrate the equality of two expressions. A mathematical equation normally consists of constants, variables, and operations such addition, subtraction, multiplication, and division.

To solve this system of equations, we can use the method of elimination.

First, we will multiply the first equation by 5 and the second equation by 7 to get:

10x - 35y = -15

28x - 35y = 84

Now, we can subtract the first equation from the second equation to eliminate y:

28x - 10x - 35y + 35y = 84 - (-15)

18x = 99

x = 99/18 = 11/2

Next, we can substitute x = 11/2 into one of the original equations to solve for y. We'll use the first equation:

2x - 7y = -3

2(11/2) - 7y = -3

11 - 7y = -3

-7y = -14

y = 2

Therefore, the solution to the system of equations is (x, y) = (11/2, 2).

To find the value of y², we simply square the value of y:

y² = 2² = 4

So the value of y² is 4.

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Answer:

P = 28,000(0.945)^y

where P is the price of the car after y years of purchase

Step-by-step explanation:

The rate of decrease is 5 1/4 % per year

This is same as 5.5% (5.5/100 = 0.055) per year

The exponential equation will be ;

P = 28,000( 1 - 0.055)^y

P = 28,000(0.945)^y

where y is the number of years after the year of purchase

Answer:

Each family member gave $4

Step-by-step explanation:

(-44 - (-80))/9

36/9

4

Answer:

0.05 in per min.

Step-by-step explanation:

We simply divide 6 by 120 to find our unit rate:

6 in/120 min = 1/20 = 0.05 in/1 min

Answer:

1/20 Inch per. Minute

Step-by-step explanation:

6/120 -->

6/1 x 1/120 --> cancel out 6 and 120 for 1 and 20 respectively

1/1 x 1/20 --> 1 x 1/20 => 1/20

Hope this helps!

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Step-by-step explanation:

When multiplying 2 numbers with the same base number, we can directly add their indices.

For example, 2¹ * 2³ = 2^(1 + 3) = 2⁴.

Therefore 7³ * 7^? = 7^(3 + ?) = 7¹⁴.

=> 3 + ? = 14, ? = 11.

The blank should be filled with 11.

The correct answer is option E. which is the product will be 13.86594.

Multiplication is the process of determining the product of two or more numbers in mathematics. Given numbers are 3.278 and 4.23.

The product of the two numbers will be calculated as:-

P = 3.278 x 4.23

P = 13.86594.

Therefore the correct answer is option E. which is the product will be 13.86594.

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Answer:b

Step-by-step explanation:

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

C

C'

1

1. see attached

2. the figure is reflected in the y-axis

Step-by-step explanation:

1.

The given transformation moves each point horizontally to the same

distance on the other side of the y-axis. This is shown in the attachment.

2.

The given rule ...

(x, y) → (-x, y)

is the most precise description of the transformation. In English, it can be

described as a reflection in the y-axis

Step-by-step explanation:

Correct me if I'm wrong

Answer:

First, we multiply them: 10 × 51.2 × 8 = 4096 Then (as there are three numbers) take the cube root: 3 √4096 = 16 In one line: Geometric Mean = 3√ (10 × 51.2 × 8) = 16

Step-by-step explanation:

Answer:

The geometric mean of 6 and 10 is = 7.746 .

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

you have to divide 125 from 5000 so i believe i am right but if im not then im sorry

Answer:

700π m ~ 2199 m

Step-by-step explanation:

diameter = d = 200 m

2 min 20s = 140 s

1 round / 40 s

140 = 40 * 3 + 20

so the athlete will cover 3 round and half

1 round = d * π

covered = c = 3 * 200 * π + 200/2 * π = 700 * π

c) It would be larger, because higher confidence requires a larger margin of error.

When increasing the confidence level from 95% to 99%, the margin of error of the confidence interval tends to increase. This is because a higher confidence level means we want to be more certain or have a higher level of confidence in capturing the true population parameter.

To achieve a higher confidence level, we need to widen the interval to account for more potential variability in the population. As a result, the margin of error increases, reflecting the increased uncertainty and the need for a larger range of values to capture the true population parameter with higher confidence.

Therefore, the margin of error of a 99% confidence interval, based on the same sample, would be larger compared to the 95% interval.

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Answer:

Multiplicative inverse or reciprocal.

Step-by-step explanation:

Multiplicative inverse or reciprocal.

Answer:

here it is

Step-by-step explanation:

you can see, 2/3 cannot be simplified any further, so the result is the same as we started with. Not very exciting, I know, but hopefully you have at least learned why it cannot be simplified any further!

Answer:

The value of A is 10.0 inches      The value of B is 35 inches

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

2 + 2 = 4

4 / 3 = 1.3

1.3 x 6 = 8