If y varies inversely as x, and y = 23 when x
8, find y when x 4.

Answer:

50 new fish in total

so lets say 25 per month

Rate: 25 fish per month

Step-by-step explanation:

The rate is the population increasing is  0.135 or 13.5% .

Growth rates refer to the percentage change of a specific variable within a specific time period.

Growth rate= \(\frac{Present value - Past value}{Past value}\)

According to the question

The population of fish increased from 370 to 420

i.e

Present value = 420

Past value = 370

over the months of March and April

By using Growth rate formula :

Growth rate= \(\frac{Present value - Past value}{Past value}\)

Now,

Substituting values in formula

Growth rate= \(\frac{420 - 370}{370}\)  

                    = \(\frac{50}{370}\)

                    = 0.135 or 13.5%

Hence, the rate is the population increasing is  0.135 or 13.5% .

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As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

In the theory of probability, the central limit theorem states that the distribution of a sample mean approximates a normal distribution as the size of the sample increases. For the central limit theorem to hold, it is necessary that the sample size at least cross a margin of 30. Having a sufficiently larger sample size can predict the characteristics of the sample more accurately. The central limit theorem is applicable when we are analyzing large data sets.

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False. the correct standard basis for P₂ is {1, t, t²}, not {-1, -t, t²}.

The standard basis for P₂, the vector space of polynomials of degree at most 2, consists of the vectors {1, t, t²}, not {-1, -t, t²}.

The standard basis is chosen such that each vector represents a monomial term of degree 0, 1, and 2, respectively. The vector 1 represents the constant term, t represents the linear term, and t² represents the quadratic term. By combining different scalar multiples of these basis vectors, we can represent any polynomial of degree at most 2.

Therefore, the correct standard basis for P₂ is {1, t, t²}, not {-1, -t, t²}.

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Given the equation:

-39 = 4w + 7(w-3)

Let's solve the equation for w.

To solve take the following steps.

• Step 1.

Apply distributive property

• Step 2.

Combine like terms

• Step 3.

Add 21 to both sides

Step 4.

Divide both sides by 11

ANSWER:

w = -1.63

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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Answer:

Rhombus

Step-by-step explanation:

it's like a diamond but it's a little bit thicker

Answer:

96.512 °F < x < 591.242 °F

Step-by-step explanation:

We are given;

Melting point = 35.84 °C

Boiling point = 310.69 °C

Now, we are given that formula to convert °C to °F is;

°C = (5/9)°F

Thus if the temperature in Fahrenheit is x, then;

Melting point is; 35.84 °C = (5/9)x°F - "32"

x = ((9 × 35.84)/5) + 32

x = 96.512 °F

Similarly, for Boiling point;

Boiling point is;

310.69 °C = (5/9)x°F - "32"

x = ((9 × 310.69)/5) + 32

x = 591.242 °F

Now, we are told that matter is in its liquid form when it is between melting and boiling point.

Thus, range of x in inequality form is;

96.512 °F < x < 591.242 °F

Answer:

from what we're given on the drawing, ac and pt are congruent

and from the question format, ab is equal to pq, ac is equal to pr

The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)

The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:

q² + 3q - 4 = 0

Now, we can factorize the quadratic equation:

(q + 4)(q - 1) = 0

To find the values of q, we set each factor equal to zero and solve for q:

q + 4 = 0 or q - 1 = 0

Solving these equations, we get:

q = -4 or q = 1

So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.

Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.

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Complete Question:

What are the domain restrictions of q²−7q−8/q²+3q−4?

a) q≠1 and q≠−8

b) q≠−1 and q≠4

c) q≠1 and q≠−4

d) q≠−1 and q≠8

Answer: 40 ?

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

- 8 = - 2x - 12

- 8 + 12 = - 2x - 12 + 12

- 2x = 4

- 2x ÷ - 2 = 4 ÷ - 2

x = - 2

The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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Answer:

100 pages are filled

Step-by-step explanation:

400(.25) = 100

Answer:

What was the regular price of the T-shirt?

What question is being asked in this word problem?

What is the regular price of the skirt?

How much money does Jill have left?

How much does the T-shirt normally cost?

What is the amount Jill pays in sales tax?

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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The observation is located to the left of the mean by a distance of 1.2 standard deviations.

The z-score of an observation represents the number of standard deviations the observation is away from the mean.

If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.

If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:

observation = μ + (z * σ)

observation = μ + (-1.2 * σ)

This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.

For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.

In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.

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Hope it helps you........

By graphing the system of equations, we can see that the solution is (4, -2)

Here we want to solve the system of equations:

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

y = (1/2)*x - 4

To solve this graphically, we just need to graph both equations on the same coordinate axis and find the point where the lines intersect.

The graph can be seen on the image at the end.

We can see that the solution is (4, -2)

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Let t be the number of times a sheet of paper is folded. At first, there will be two layers of paper since it is folded only once.

However, when the same sheet is repeatedly folded in half, the number of layers of the paper keeps increasing by two. Thus, the number of layers of the paper can be expressed as: 2, 4, 8, 16, ...., 2t. The formula for finding the number of layers of paper when the original sheet is folded l times can be expressed as:

r = 2l.

The above expression shows the number of layers when the sheet is folded l times. If we have to find the expression for the number of layers for n folds, then the formula would be:

r = 2n.

Therefore, the equation that represents the number of layers of paper that result when the original sheet of paper is folded a total of l times is r = 2l.

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Answer:

3.14

Step-by-step explanation:

compare 3.4 to 3.111111111111111111...

4 is bigger than 1

3.14 is bigger than 3.1 repeating.

The number 3.1 repeating (or 3.1 with an infinite number of decimal places of 1) is equivalent to the mathematical concept of the number 3.1111..., where the digit 1 repeats indefinitely.

When comparing 3.14 and 3.1 repeating, we can consider the decimal places:

3.14 has a hundredth place digit of 4, which is greater than the repeating decimal of 3.1, where the hundredth place digit is 1.

Therefore, 3.14 is bigger than 3.1 repeating.

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Answer: 30

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

First of all, the little 2 stands for multiply by 2 so multiply 5 by 2 then you will get 10. Add 10 and 10 so you will get 20. Then divide 20 by 2 and you will get 10!

Hope it helps!

OwO

Answer: k = √27-i

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{36}{9}\) = 4

I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

Step-by-step explanation:

Total number of sandwiches = 36

Total pounds of ham = 9 pounds

per pound = 36 ÷ 9 = 4 sandwiches

Ham per sandwich = 0.25 pounds

The algebraic expression is 6(a+ b)² + 4(ab)².

The concept of representing numerical values with letters or alphabets without providing their precise values The fundamentals of algebra taught us how to represent an unknown value using letters like x, y, and z. Here, these letters are referred to as variables. A mathematical expression may have both variables and constants. A coefficient is any value that is introduced before and increased by a variable.

Given that,

So, six times the sum of (a+ b)

Then, four times the product of (ab)

Therefore, the algebraic expression is 6 (a+ b)² + 4(ab)².

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The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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Answer:

66 R30

Step-by-step explanation:

:) :) :/ probably wrong

Answer:

66.4918032787

Step-by-step explanation:

I'm afraid that my answer isn't an answer choice you have, but if I were you, I'd go with 66, as it's the closest.

As for how I got my answer, you can just use a calculator.

Answer:

D

Step-by-step explanation:

Answer:

y= 34x- 2 +5 (C)

Step-by-step explanation:

The equation: y = 27x-54 +5

We are to determine an equivalent equation of the form y=avx -h+k from the options given.

From the above, av = two digit coefficient of x. Hence av is constant.

h and k are also constant.

Let's check out the option to find the equation that is in the form y=avx-h+k

a) y=-273x + 2+5

In this equation, the coefficient of x is a 3-digit number. The option is wrong.

b) y=-3x+2 +5

In this equation, the coefficient of x is a 1-digit number. The option is wrong.

c) y=34x -2 +5

In this equation, the coefficient of x is a 2-digit number.

av = 34, h= 2 and k = 5

This equation is in the form of y=avx -h+k

The option is correct.

d) y=273/x-2 +5

This equation is not in the form of y=avx -h+k

The option is wrong.

Answer:

c is correct for the first one

horizontal: 2 units right

vertical: 5 units up

stretch/compression: stretched by a factor of 3

reflection: not reflected

Step-by-step explanation:

leave a heart pls :)