The quotient of s and 5
​

Using proportional relationship, the constant of proportionality is 6, the equation is 6x² and the price of steel is $548

Proportionality is the relationship between two or more values that are related in some way. It is a concept used in mathematics, science, and other fields to describe the balance between two or more elements. For example, a proportionality can be used to compare the sizes of two objects, the speed of two vehicles, or the cost of two items.

In the given question,

p ∝ R³

p when R = $48,

p ∝ R³

p = k R³

48 = k R³

a)

When radius = R/2

48 = k (R/2)³

48 = 8R

P = 48 / 8

P = 6

The price when radius is R/2 = $6

This is the constant of proportionality

b) When R = 2

P ∝ R³

P = 6x²

b(i) The equation connection p and x is

P = xR³

(ii) The price when radius is 3 cm will be

P ∝ x³

P = k(3)³

P = 6 * 27

P = 162

When r = 4

P = 6 * (4)³

P = 384

P = 162 + 384 = $548

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Answer: See below for the graph

The graph is a straight line through (0,-8) and (1,-3)

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

Further explanation:

You have the correct y intercept. This is where the graph crosses the y axis.

From this starting point, move up 5 units and to the right 1 unit. This motion of "up 5, right 1" is directly from the slope of 5 aka 5/1

slope = rise/run = 5/1

rise = 5 = how far you go up

run = 1 = how far you move to the right

So if we started at (0,-8) and moved up 5, right 1, then we would arrive at (1,-3)

Once these two points are plotted together, we can draw a straight line through them as you see below. I used GeoGebra to make the graph, but you could use Desmos (or similar) if you prefer.

Answer: the simplest for is -4.25

Step-by-step explanation:

Answer:

there is no picture

Step-by-step explanation:

in this demonstration you need visual aid

Answer:Given, f(x)=5x−1To find: f(0)Put x=0 in the given eqation.Therefore, we getf(0)=5(0)−1=0−1=−1

Step-by-step explanation:

Answer:

\(\dashrightarrow \: { \rm{28(y - \frac{1}{7}) }} \\ \\ \dashrightarrow \: { \rm{28y - \frac{28}{7} }} \\ \\ \dashrightarrow \: { \tt{28y - 4}}\)

Answer:

Step-by-step explanation:

Mean: 17.2

Median: 18

Mode: 18

Mean: The sum of all observation divided by several observation

Median:it is the middlemost observation of data arraged in increasing or decreasing order of values

Mode:it is the value that occurs frequently in a set of data

Hope it helps

Mean: 17.2

Median: 18

Mode: 18

Mean: The sum of all observation divided by several observation

Median:it is the middlemost observation of data arraged in increasing or decreasing order of values

Mode:it is the value that occurs frequently in a set of data

Hope it helps

Answer:

0.15, 0.85 3/5 7/10

Step-by-step explanation:

Answer: .15, 3/5, 7/10, .85

Step-by-step explanation:

3/5= .60

7/10= .70

Answer:

26.1799387799π cm (squared) round up if u want (26.2πcm (squared))

Step-by-step explanation:

The area of the sector with a central angle and radius value is given by :  

  n

____   πr (squared)

360

=      120

   ______  × π × 5 (squared)

     360

​

answer= 26.1799387799 round up if u want (26cm (squared))

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Steps per mile is a measure of how many steps a person takes to walk one mile, Which is 2000 steps.

It takes over 2,000 steps to walk one mile and 10,000 steps would be almost 5 miles, as the average person has a stride length of approximately 2.1 to 2.5 feet.

The number of steps required to walk a mile can vary from person to person depending on their height, weight and stride length. And Generally, taller people with longer strides take fewer steps per mile, while shorter people with shorter strides take more steps per mile.

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Answer:

32 degrees

Step-by-step explanation:

The interior angles of a triangle always add up to 180.

Subtract the sum of 106 and 42 from 180.

180-(106+42)

180-(148)

32

x is equal to 32 degrees.

The range is the same for both functions: {y | y is a real number}.

Given the parent function expressed as  f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;

g(x) = |x + 6| + 2

The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.

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Answer:

Step-by-step explanation:

Volume formula  V= lwh

Given

Volume is:

Correct option is A

Answer:

fraction 3 and 3 over 5 cubic feet

Step-by-step explanation

Answer:

1/2

Step-by-step explanation:

- find the least common denominatir for the two. (12)

-multiply 4 and 3

-multiply 6 and 2

- Add 1 and 5

-Keep the denominator.

-simplify if needed

Answer:

Step-by-step explanation:

answer 1 1/12 hours

Based on this information, we can conclude that:Number of doctor visits in the last year is a quantitative-discrete variable.

There are four types of variables that can be seen in statistics;

Qualitative nominal, qualitative-ordinal, quantitative discrete, or quantitative-continuous.

To identify the type of variable, follow the instructions below:

Quantitative Continuous: Variables that are measured and are continuous in nature, such as height, weight, etc. These variables are measured on a continuous scale.

Qualitative Nominal: Variables that can be categorized but cannot be ranked in order, such as gender, race, etc.

Qualitative Ordinal: Variables that can be categorized and ranked, such as grades (A, B, C, D, F).

Quantitative Discrete: Variables that are counted and cannot be measured, such as the number of people in a class, the number of cars in a parking lot, etc.

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Answer:

g=3 yards

Step-by-step explanation:

Since the 3yd on the big triangle is reduced to 1 yd on the small triangle divide 9 by 3 to get the missing side length of 3 yards. Hope this helps :)

The length of the diagonal is between 3 and 4; it is closer to 3.

In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

In any rectangle, each of the two (2) opposite sides are equal and parallel and the two (2) diagonals are equal.

Based on the information provided about the diagonal, we have:

Diagonal = √18

Diagonal = √9 × √2

Diagonal = 3√2 units.

In conclusion, we can logically deduce that the diagonal is closer to 3 units.

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The correct answer is option C) 234 days. In this case, the loan was made on March 24 and due on November 15 of the same year.

To find the exact time of the loan made on March 24 and due on November 15, we need to add up the exact days in each month between these two dates. March has 31 days, April has 30 days, May has 31 days, June has 30 days, July has 31 days, August has 31 days, September has 30 days, October has 31 days, and November has 15 days.
Adding up all the days, we get:
31 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 15 = 234
Therefore, the exact time of the loan is 234 days.

To calculate the exact time between two dates, we need to count the number of days in each month and add them up.
March has 31 days, so we count from March 24 to March 31, which gives us 7 days.
Next, we move to April, which has 30 days. So we add 30 to the previous count of 7, which gives us 37 days.
In May, there are 31 days, so we add 31 to the previous count of 37, which gives us 68 days.
June has 30 days, so we add 30 to the previous count of 68, which gives us 98 days.
In July, there are 31 days, so we add 31 to the previous count of 98, which gives us 129 days.
August also has 31 days, so we add 31 to the previous count of 129, which gives us 160 days.
In September, there are 30 days, so we add 30 to the previous count of 160, which gives us 190 days.
October has 31 days, so we add 31 to the previous count of 190, which gives us 221 days.
Finally, in November, we count from November 1 to November 15, which gives us 15 days.
Adding up all the days, we get:
7 + 30 + 31 + 30 + 31 + 31 + 30 + 31 + 15 = 234
Therefore, the exact time of the loan is 234 days.

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Answer:

$2475  or $1875

Step-by-step explanation:

Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475

However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625

$2500-$625= $1875

Answer:

20???

Step-by-step explanation:

Answer:

huh? explain further

Step-by-step explanation:

pls give brainlest almost lvled up.

Answer:

7 ≥ m OR m ≤ 7

Step-by-step explanation:

You can actually solve this in two ways , either :

6 ≥ m - 1

6 + 1 ≥ m

7 ≥ m

OR

m -1 ≤ 6

m ≤ 6 + 1

m ≤ 7

Both are correct.

Answer: x = -3

Let's solve your equation step-by-step.

−12−3x=−3

Step 1: Simplify both sides of the equation.

−12−3x=−3−12+−3x=−3−3x−12=−3

Step 2: Add 12 to both sides.

−3x−12+12=−3+12−3x=9

Step 3: Divide both sides by -3.−3x−3=9−3

x=−3

Hope it helps!

Answer:

x = -3

Step-by-step explanation:

hope it helps :)

a) 2.7% of mayflies live at least 26.8 hours.

b) 85% of the mayflies die after approximately 26.2 hours.

a) We can begin by standardizing the value of 26.8 hours:

\(z = \frac{26.8 - 23.7}{1.6} = 1.9375\)

Using a standard normal table or a calculator, we can find that the probability of a standard normal random variable being greater than 1.9375 is approximately 0.027, or 2.7%. Therefore, about 2.7% of mayflies live at least 26.8 hours.

b) We want to find the value of x such that 85% of the mayflies have a lifespan less than x. To do this, we need to find the z-score corresponding to the 85th percentile of the standard normal distribution:

\(z = \text{invNorm}(0.85) \approx 1.04\)

Then we can solve for x:

\(x = \mu + z\sigma = 23.7 + 1.04(1.6) \approx 26.2\)

Therefore, 85% of the mayflies die after approximately 26.2 hours.

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Answer:

I think what you would do here is line them up from least to greatest, or greatest to least. Hope this helps! <3

Step-by-step explanation:

Answer:

2.5 ×  \(10^{-5}\)

Step-by-step explanation:

I hope this helps!!

When comparing means of three or more conditions, an analysis of variance (ANOVA) should be used instead of multiple t-tests. This is because using multiple t-tests increases the risk of a type I error, where a significant difference is found when there is none. ANOVA controls for this by using a single test to determine if there is a significant difference between the means. Additionally, using multiple t-tests increases the risk of a type II error, where a significant difference is not found when there is one.

ANOVA is also more likely to detect statistical significance between the means because it takes into account the variability within each condition as well as the variability between conditions. This increases the power of the test and reduces the chances of missing a significant difference between the means.

When using ANOVA, the results can indicate that there are no differences between any of the population means (option a), that at least one of the three population means is different from another population mean (option b), that all three of the population means are different from each other (option c), or that one population mean is different from one of the other population means, but not the other population mean (option d).

Finally, ANOVA provides a measure of effect size, typically reported as r2, which indicates the proportion of variability in the data that can be attributed to the differences between the conditions. This can be useful in determining the practical significance of the results.

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Answer:

x+3-12/8

Step-by-step explanation:

h(x)=-3/8x+12

y=h(x) let

y=-3/8x+12

here,

put at x at y and put y at x

x=-3/8y+12

8y=x+3-12

y=x+3-12/8

The probability that the sample proportion will be at least k is 0.7580.

Let P be the probability that any one person in the population will cooperate and respond to the questions. We are looking for the probability that at least k people out of n in the sample will cooperate and respond to the questions. Let X be the number of people who cooperate and respond to the questions in the sample. X follows the binomial distribution with parameters n and P.To calculate this, use the following formula:

Z = (X - μ) / σ

Here, X = number of people who cooperate and respond to the questions in the sample

μ = E(X) = np,  σ = sqrt(npq)

q = 1 - P

Now, to calculate the probability, first calculate μ = np =

σ = sqrt(npq)

Then, find the z-score using z = (k - μ) / σ.

Now, use the z-table to find the probability corresponding to the z-score obtained in the previous step. The probability obtained from the z-table is the probability that the sample proportion will be at least k.

The probability that the sample proportion will be at least k is 0.7580.

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