PLS PUT THE SLOPE INTERCEPT FORM OF THIS LINE ILL GIVE BRAINLIEST!!

Answer:

42 sheet of paper

Step-by-step explanation:

$7.84 divided by $0.16

This equals 42

After spending 7 dollars and 84 cents, 42 sheets of paper will be sold.

Answer:

Initial value: 40. Rate of change: 10

Step-by-step explanation:

You start out with 40 (Initial value) and you'd add 10 (Rate of change) to it everyday.

Answer:

1/9

Step-by-step explanation:

I hope this help.

Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

Answer:

c

Step-by-step explanation:

becouse if you put in the numbers .623 for p and .377 for q and 6 for n and for x you put 4 do the math and you get c

The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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The correct option is False. The standard formulas for the derivatives of sine and cosine are true when the angle is in radians. These formulas are derived based on the properties of the trigonometric functions in the context of radians. The derivatives of sine and cosine with respect to an angle measured in radians are as follows:

\(\[\frac{d}{dx}(\sin(x)) = \cos(x)\]\)

\(\[\frac{d}{dx}(\cos(x)) = -\sin(x)\]\)

If the angle is measured in degrees, these formulas would not hold true. To differentiate trigonometric functions when the angle is measured in degrees, conversion factors and additional adjustments would be necessary.

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Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

The sum ∑(k=10 to 50) (2k−12) is 3936.

To determine which functions are onto, we need to check if every element in the codomain is mapped to by at least one element in the domain.

f:Z 2→Z 2, f(m,n):=(n,m) is onto because for any (m,n) in Z 2, there exists an element in the domain that maps to it.

f:Z→Z, f(n):=3n+7 is onto because for any element y in Z, we can find an element x in Z such that f(x) = y.

f:Z→Z, f(n):=−n is onto because for any element y in Z, we can find an element x in Z such that f(x) = y.

f:Z 2→Z, f(m,n):=2(m−n) is not onto because there are elements in the codomain Z that are not mapped to by any element in the domain Z 2.

So, the functions f:Z→Z, f(n):=3n+7 and f:Z→Z, f(n):=−n are onto.

To find the sum ∑(k=10 to 50) (2k−12),

we  can use the formula for the sum of an arithmetic series.

First, we find the first term of the series by  substituting k=10 into the expression 2k-12:
a = 2(10) - 12 = 8

Next, we find the last term of the series by substituting k=50 into the expression 2k-12:
l = 2(50) - 12 = 88

Now, we can use the formula for the sum of an arithmetic series:
S = (n/2)(a + l)

Substituting the values we found:
S = (41/2)(8 + 88) = 41(96) = 3936

Therefore, the sum ∑(k=10 to 50) (2k−12) is 3936.

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Question 3:

Following functions are onto :

f:Z^2→Z^2, f(m,n):=(n,m)

f:Z→Z, f(n):=-n

f:Z^2→Z, f(m,n):=2(m-n)

Explanation :
To determine which functions are onto, we need to check if every element in the codomain (Z or Z^2) is mapped to by at least one element in the domain (Z or Z^2).

a) f:Z^2→Z^2, f(m,n):=(n,m): This function is onto because for any (a,b) in Z^2, we can find (m,n) such that f(m,n) = (a,b) by swapping the coordinates. For example, if (a,b) = (2,3), we can choose (m,n) = (3,2) and f(3,2) = (2,3).

b) f:Z→Z, f(n):=3n+7: This function is not onto because it can never map to odd numbers. For example, there is no integer n such that f(n) = 5.

c) f:Z→Z, f(n):=-n: This function is onto because every integer in Z can be mapped to by taking its negative. For example, f(3) = -3.

d) f:Z^2→Z, f(m,n):=2(m-n): This function is onto because for any integer a, we can find (m,n) such that f(m,n) = a by setting m = n + (a/2). For example, if a = 4, we can choose (m,n) = (3,1) and f(3,1) = 2(3-1) = 4.

Question 4:

The sum of (2k-12) from k=10 to 50 is 1968.

Explanation :
To find the sum from k=10 to 50 of (2k-12), we can use the formula for the sum of an arithmetic series: Sn = (n/2)(a1 + an), where Sn is the sum, n is the number of terms, a1 is the first term, and an is the last term.

In this case, n = 50 - 10 + 1 = 41 (since there are 41 terms from 10 to 50).
a1 = 2(10) - 12 = 8 (the first term is 8).
an = 2(50) - 12 = 88 (the last term is 88).

Using the formula, we have:
Sn = (41/2)(8 + 88) = (41/2)(96) = 41(48) = 1968.

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The data collected from the customers in restaurants about the quality of food is an example of a(n); Observational Study

There are four types of statistical studies namely;

Observational studies

Surveys

Experiments

Meta-analytical studies.

1) An observational study involves observing and recording data on some variable(s) of interest.

2) A (sample) survey uses questioning to gather data.

3) An experiment also referred to as experimental study attempts to give an answer to a statistical question by manipulating all or part of the sample.

Now, we are told that some data was collected from the customers in restaurants about the quality of food.

This is a type of observational study because it involves observing and recording data on an interest which is quality of food

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The expected number of companies that might not respond is 67.5.

Based on the given information, we can model the nonresponse rate using a binomial distribution. Let's define the following variables:

n = Number of questionnaires mailed = 150

p = Probability of not responding = 0.45

To determine the number of companies that might not respond, we can calculate the probability of different scenarios using the binomial distribution formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

X represents the number of companies that do not respond.

k represents the number of companies that do not respond.

C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

To find the probability of a specific number of companies not responding, we substitute the values of n, p, and k into the formula.

For example, to find the probability that exactly 70 companies do not respond, we can calculate:

P(X = 70) = C(150, 70) * 0.45^70 * (1 - 0.45)^(150 - 70)

To find the expected number of nonresponses, we can use the formula:

E(X) = n * p

In this case:

E(X) = 150 * 0.45

So the expected number of companies that might not respond is 67.5.

Note: The binomial distribution assumes independent and identically distributed trials, so it is important to ensure that the assumption holds in the given scenario.

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A biased sample is created when a sample is collected with some members not as likely to be chosen as others .

When a sample is collected with some members not as likely to be chosen as others, the resulting sample is biased. Bias in sampling occurs when the sample is not representative of the population being studied, leading to incorrect or misleading conclusions.

For example, if a survey on the popularity of a new product is conducted by asking only a select group of individuals who are already known to be fans of the product, the results may be biased and not accurately reflect the true popularity of the product among the general population.

Bias can occur for many reasons, such as non-random sampling techniques, self-selection bias, or researcher bias. It is important to avoid bias in sampling to ensure the accuracy and validity of research findings.

This can be achieved by using random sampling techniques, increasing sample size, and ensuring that all members of the population have an equal chance of being selected for the sample.

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The volume of the right cone is 384π cm³ (option A).

A cone is a three-dimensional object that narrows smoothly from a circular base to a apex or vertex. A cone is a pyrmaid with a circular cross section.

The volume of an object measures the amount of space in the object.

Volume of a cone = 1/3(πr²h)

Where:

Volume of a cone = 1/3(π x 8 x 12²) = 384π cm³

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Based on the information provided, to prepare a total of 220 pancakes Kai needs 30 cups of pancake mix.

To prepare 22 pancakes Kai needs a total of 3 cups of pancake mix, which means the ratio is 22 to 3 or 22:3.

To find the total of pancake mix Kai need for this new number of pancakes different methods can be applied:

First method: Rule of three

3 cups of pancake mix = 22 pancakes

            x                        = 220 pancakes

x (number of cups) = 220 pancakes / 22 panckes x 3

x = 10 x 3

x= 30

This means Kai needs 30 cups

Second method: Find the number of cups for 1 pancake

3 cups  / 22 pancakes=  0.13636

220 x 0.13 = 29.9 which can be rounded as 30 cups

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Answer:

Unlikely

Step-by-step explanation:

There are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The weather forecast calls for a 20% chance of light rain tomorrow.

Probability of rain:

P(rain) = 20% = 0.2

Complement event: Not rain tomorrow

Probability of complement event P(not rain) = 1 – 0.2 = 0.8 or 80%

P(not rain) > P(rain)

Thus, there are more chances that tomorrow there will be no rain than the raining we can say that it is unlikely to rain tomorrow.

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Answer:

-17h-36 is your answer

Step-by-step explanation:

3(-7h-4) +4 (h-6)

-21h-12+4h-24

-17h-36

Answer:

I believe it is y equals 3 minus 2x.

Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

Using permutations, the 20 number different ways can the two positions be filled if each position can only be filled by one person.

According to the question,

Five people are applying for the positions of president and treasurer.

A permutations is an arrangement in a definite order of a number of objects taken some or all at a time.

\(P(n,r)=nP_{r} = \frac{n!}{(n-r)!}\)

In order to find the number different ways can the two positions be filled if each position can only be filled by one person we can find using permutations

\(5P_{2} = \frac{5!}{(5-2)!}\)

= \(\frac{120}{3*2}\)

=20

Hence, using permutations, the 20 number different ways can the two positions be filled if each position can only be filled by one person.

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Answer:

7 because to get the mean it has to be in the middle which comes down to the Number 9 package so that means the the 8th package has to be 7 pounds

Step-by-step explanation:

Pythagorean Theorem  we get x is 8.

given :

Hypotenuse = 10

base = 6

unknown leg x  = \(\sqrt{10^2 - 6^2}\) = \(\sqrt{64}\) = 8

x =8 .

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Thus, the vector ⟨1,2,1⟩ is indeed a linear combination of the vectors ⟨1,1,0⟩, ⟨0,1,−1⟩, and ⟨1,2,−1⟩.

To determine if the vector ⟨1,2,1⟩ is a linear combination of the vectors ⟨1,1,0⟩, ⟨0,1,−1⟩, and ⟨1,2,−1⟩, we need to check if there exist constants such that:

c₁⟨1,1,0⟩ + c₂⟨0,1,−1⟩ + c₃⟨1,2,−1⟩ = ⟨1,2,1⟩

By comparing the corresponding components, we can set up a system of equations:

c₁ + c₃ = 1   (for the x-components)
c₁ + c₂ + 2c₃ = 2   (for the y-components)
- c₂ - c₃ = 1   (for the z-components)

Solving this system of equations, we find that c₁ = 1, c₂ = 0, and c₃ = 0.

Therefore, the vector ⟨1,2,1⟩ is a linear combination of the vectors ⟨1,1,0⟩, ⟨0,1,−1⟩, and ⟨1,2,−1⟩.

Detailed calculation with conclusion:

c₁⟨1,1,0⟩ + c₂⟨0,1,−1⟩ + c₃⟨1,2,−1⟩ = ⟨1,2,1⟩

1⟨1,1,0⟩ + 0⟨0,1,−1⟩ + 0⟨1,2,−1⟩ = ⟨1,2,1⟩

⟨1,1,0⟩ + ⟨0,0,0⟩ + ⟨0,0,0⟩ = ⟨1,2,1⟩

⟨1,1,0⟩ = ⟨1,2,1⟩

Thus, the vector ⟨1,2,1⟩ is indeed a linear combination of the vectors ⟨1,1,0⟩, ⟨0,1,−1⟩, and ⟨1,2,−1⟩.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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Answer:

Father=41

Son=19

Step-by-step explanation:

Father=f

Son=s

f+s=60

Eight years ago would mean that 16 is subtracted from 60 since there is both of them

3s+s=4s

4s=44

s=11

11+8=19

33+8=41

Answer:

hope that helps :))

Step-by-step explanation:

Step 1: Subtract 12c from both sides.

12c+12−12c=12c+9−12c

12=9

Step 2: Subtract 12 from both sides.

12−12=9−12

0=−3

The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper

The percentage of copper in the brass = 65%

Therefore the quantity of copper in the brass = 65/100= 0.65 pounds

This means that 1 pound brass contains = 0.65 pounds of copper

The quantity of copper in 120 pounds of brass = 120 * 0.65

                                                                             = 78 pounds of copper.

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