If one quart is the same amount as 2 pints, how many pints are in 9 quarts? Input only whole numbers. Numerical Answers Expected! Answer for Blank 1:

Answer:

b⁴

Step-by-step explanation:

When you multiply exponents together, you add the powers:

a⁻³ x a³ = -3 + 3 = 0

a⁰ = 0

b³ x b = 3 + 1 = 4

b⁴

Answer:

b⁴

a⁻³ x a³ = -3 + 3 = 0

a⁰ = 0

b³ x b = 3 + 1 = 4

b⁴

Answer:

b) 4x-2y=8

Step-by-step explanation:

Eg: (3,2)

4(3) - 2(2) = 8

12 - 4 = 8

8 = 8

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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Answer:

(-b-81)/6=a

Step-by-step explanation:

3b−2a-17 = 4a+4b+64

3b-4b-17-64=4a+2a

-b-81=6a

(-b-81)/6=a

(i) there are approximately 266 6 by 6 permutation matrices with det(P) = 1.

(i) The number of 6 by 6 permutation matrices with det(P) = 1 can be determined by counting the number of derangements of a set of size 6. A derangement is a permutation in which no element appears in its original position. The number of derangements of a set of size n is given by the derangement formula:

D(n) = n! * (1/0! - 1/1! + 1/2! - 1/3! + ... + (-1)^n/n!)

For n = 6, the number of derangements is:

D(6) = 6! * (1/0! - 1/1! + 1/2! - 1/3! + 1/4! - 1/5! + 1/6!)

Simplifying the expression:

D(6) = 6! * (1 - 1 + 1/2 - 1/6 + 1/24 - 1/120 + 1/720)

D(6) = 6! * (0.368056)

D(6) ≈ 265.99

(ii) Finding a specific 6 by 6 permutation matrix that requires 4 row exchanges to reach the identity matrix would involve a trial-and-error process or a specific algorithm. It's difficult to provide a specific matrix without additional information or constraints.

(b) Statements:

(i) If det(A - B) = 0 then det(A) = det(B).

False. The determinant of a matrix is not necessarily preserved under subtraction. For example, consider A = [[1, 0], [0, 1]] and B = [[1, 1], [1, 1]]. Here, det(A - B) = det([[0, -1], [-1, 0]]) = 1, but det(A) = det(B) = 1.

(ii) If A is non-singular, then it is row equivalent to the identity matrix.

False. Row equivalence means that two matrices can be transformed into each other through a sequence of elementary row operations. A non-singular matrix, also known as invertible or non-singular, is row equivalent to the identity matrix after a sequence of row operations. However, the statement is not true in general. For example, consider the matrix A = [[1, 2], [2, 4]]. It is non-singular (the determinant is 0), but it is not row equivalent to the identity matrix.

(iii) If A and B are square matrices, then det(A + B) = det(A) + det(B).

False. The determinant of a sum of matrices is not equal to the sum of their determinants. In general, det(A + B) ≠ det(A) + det(B). For example, consider A = [[1, 0], [0, 1]] and B = [[-1, 0], [0, -1]]. Here, det(A + B) = det([[0, 0], [0, 0]]) = 0, while det(A) + det(B) = 2.

(iv) If A is a square matrix of order 3 and det(A) = -4, then det(Aᵀ) = -12.

True. The determinant of the transpose of a matrix is equal to the determinant of the original matrix. Therefore, if det(A) = -4, then det(Aᵀ) = -4. The determinant is unaffected by transposition.

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Online math courses can also offer some benefits, such as the flexibility to work at your own pace and the ability to review lectures and assignments as needed. Overall, taking an online math course requires self-discipline, motivation, and a willingness to seek help when needed.

Online classes are virtual classrooms that offer students the opportunity to learn from anywhere, at any time, with a reliable internet connection. The primary focus of online classes is to provide students with the same level of academic instruction as they would receive in a traditional classroom setting. Many educational institutions and organizations offer online classes, including colleges, universities, and K-12 schools.

One of the significant advantages of online classes is that they offer flexibility, which means students can manage their coursework according to their schedule. Students can also access course material, lectures, and assignments from anywhere, which eliminates the need to attend a physical classroom. Online classes also offer students the ability to work at their own pace and review course material as often as they need to.

Online classes provide students with access to a wide range of educational resources, including video lectures, interactive quizzes, discussion forums, and other learning tools. Many online classes also provide students with personalized support, including one-on-one virtual sessions with instructors or teaching assistants.

Taking an online math course can be different from taking other subjects online. Typically, online math courses involve watching pre-recorded video lectures, completing online assignments, and participating in online discussions or forums. Online math courses may also use virtual tools, such as interactive graphs or calculators, to enhance the learning experience.

Compared to other online courses, learning math online may require more self-discipline and motivation, as it can be challenging to stay engaged with the material without the structure of a traditional classroom. Additionally, math is a subject that often builds on previous concepts, so it is essential to stay on top of the material and seek help if needed.

However, online math courses can also offer some benefits, such as the flexibility to work at your own pace and the ability to review lectures and assignments as needed. Overall, taking an online math course requires self-discipline, motivation, and a willingness to seek help when needed.

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Answer:

980

Step-by-step explanation:

A simple way to do this is to do a quick estimate, which I truthfully did.

Since 5% of 1000 is 50, I simply counted back.

5% of 990 is 49.5. Notice the slight change? Use this to your advantage. What would happen if we subtracted 10 from 990, just like we did with 1000? This would be equivalent to removing 0.5 from 49.5.

5% of 980 is 49.

(a) The sampling error is 0.03. (b) The probability that a sample of size 100 would have a sample proportion of 0.33 or less, given a population proportion of 0.30, is approximately 0.008.

(a) The sampling error measures the difference between the sample proportion and the population proportion. It is calculated as:

Sampling error = Sample proportion - Population proportion

Given that the sample proportion is 0.33 and the population proportion is 0.36, we have:

Sampling error = 0.33 - 0.36 = -0.03

Therefore, the sampling error is -0.03.

Note: The sampling error can be positive or negative, indicating whether the sample proportion is overestimating or underestimating the population proportion.

(b) To find the probability that a sample of size 100 would have a sample proportion of 0.33 or less, given a population proportion of 0.30, we can use the normal distribution approximation.

The sample proportion follows an approximately normal distribution with mean equal to the population proportion (0.30 in this case) and standard deviation given by the formula:

Standard deviation = sqrt((population proportion * (1 - population proportion)) / sample size)

Substituting the given values:

Standard deviation = sqrt((0.30 * (1 - 0.30)) / 100) ≈ 0.048

To calculate the probability, we need to standardize the sample proportion using the z-score formula:

z = (sample proportion - population proportion) / standard deviation

z = (0.33 - 0.30) / 0.048 ≈ 0.625

Using a standard normal distribution table or a calculator, we can find the probability corresponding to a z-score of 0.625, which is approximately 0.734. This probability represents the area under the curve to the left of 0.625.

However, since we are interested in the probability of obtaining a sample proportion of 0.33 or less, we need to subtract this probability from 1:

Probability = 1 - 0.734 ≈ 0.266

Therefore, the probability that a sample of size 100 would have a sample proportion of 0.33 or less, given a population proportion of 0.30, is approximately 0.266.

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Answer:  y = 2

Step-by-step explanation:

The correct classification of the expression 5x + 3x⁴ - 7x³ + 10, is that it is the fourth-degree polynomial.

The degree of a polynomial is the highest power of the variable in the expression.

In the expression 5x + 3x⁴ - 7x³ + 10, there are 4 terms, and the term 3x⁴ involves the highest power = 4.

Therefore, the degree of the polynomial is 4.

Hence, we can say that the correct classification of the expression 5x + 3x⁴ - 7x³ + 10, is that it is the fourth-degree polynomial.

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Answer:

The height would be \(5x^{3}y^{3}\)

Step-by-step explanation:

The formula to find the area of a parallelogram is area = base * height. Using this information, you plug in what is given to you.

\(15x^{7}y^{4} = 3x^{4}y * h\)

Solve for h:
\(h = \frac{15x^{7}y^{4}}{3x^{4}y}\)
\(h = 5x^{3}y^{3}\)

Answer:

Domain: -4 ≤ x ≤ 4

Range: -1 ≤ y ≤ 0

Step-by-step explanation:

The domain of a function is the set of values that result in a real number when they are inputted into the function.

The range of a function is the set of values that are outputted by the function.

From this table, we can deduce the domain and range by identifying the least and greatest x- and y-values, then creating a boundary at those values.

For domain:

greatest x-value: 4

least x-value: -4

    \(\implies \text{the}\) domain of the function is -4 ≤ x ≤ 4

For range:

greatest y-value: 0

least y-value: -1

    \(\implies \text{the}\) range of the function is -1 ≤ y ≤ 0

False - A test statistic with a larger absolute value is less likely by chance alone with a T distribution.

False - When comparing a T distribution to a Z distribution, a test statistic with a larger absolute value is less likely by chance alone with a T distribution.

The T distribution has heavier tails compared to the Z distribution, meaning it has more probability in the tails and less in the center. As a result, extreme values or larger absolute values of the test statistic are less likely to occur by chance alone in a T distribution compared to a Z distribution.

The T distribution is typically used when dealing with smaller sample sizes and when the population standard deviation is unknown and estimated from the sample. In such cases, the T distribution accounts for the added uncertainty associated with smaller sample sizes, resulting in a more conservative approach when evaluating the likelihood of extreme test statistics.

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Answer:

180651070

Step-by-step explanation:

Subtract the too numbers  -452,325,308 and -632,976,378

---=+

so it comes out positive

Subtraction of numbers that are both negative will give us a positive sign when we open brackets, from there we can arrive at the final answer.

The answer is 180,651,070

Given Data

First number =  -452,325,308

Second number = -632,976,378

Watch out for the signs and the words in the problem statements

Here is the Trick

Difference between the two negative numbers

(-452,325,308) - (-632,976,378 )

open bracket

= -452,325,308 + 632,976,378

=180,651,070

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The points on a graph are the points that lie on the graph

The ordered pair on the graph of \(\mathbf{x =\frac{1}{3}(y - \frac 18)}\) would be \(\mathbf{( \frac{5}8},2)\)

The points are not given; so, I will give a general explanation

The equation is given as:

\(\mathbf{x =\frac{1}{3}(y - \frac 18)}\)

Assume that the value of y, is 2

The equation becomes

\(\mathbf{x = \frac 13(2 - \frac 18)}\)

Take LCM

\(\mathbf{x = \frac 13(\frac{16-1}8)}\)

\(\mathbf{x = \frac 13(\frac{15}8)}\)

Divide

\(\mathbf{x = \frac{5}8}\)

So, the ordered pair would be \(\mathbf{( \frac{5}8},2)\)

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Ella practices piano for 45 minutes.

She spends m minutes longer working on homework

From the question, The total minutes Ella spend on piano is 45 minutes

If she spend m minutes longer

In mathematics, more in word problem means addition

Total minutes spend on her home work is

m + 45

Let T be the total time she spendon her homework

T = Additional m minutes + 45 minutes spend on her piano

T = m + 45

The answer is T = m + 45

I am pretty sure the answer would be (2,3)

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

As we can see the wire, wall and base making a right angle triangle;

So applying the Pythagoras theorem:

Supposing the length of the wall is x feet

16² = 9² + x²

x²= 175

x = √175 feet

Thus, the height of the house is √175 feet if the piece of wire 16 feet long is strung from the top of the side of a house to the ground. option (C) is correct.

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Complete question is;

Determine whether the given procedure results in a binomial distribution. If it is not​ binomial, identify the requirements that are not satisfied.Randomly selecting 50 adults and asking if they like rap music on a scale of 1 - 10.

Choose the correct answer below.

A.​ No, because the probability of success does not remain the same in all trials.

B. Yes, because all 4 requirements are satisfied.

C. ​No, because there are more than two possible outcomes and the trials are not independent.

D. No, because there are more than two possible outcomes.

Answer:

Option D: No, because there are more than two possible outcomes.

Step-by-step explanation:

A binomial distribution is simply defined as the probability of having an outcome in an experiment or survey that is either a success or a failure and having it repeated multiple times. Therefore, we can say that binomial distribution is a type of distribution that has only two possible outcomes.

Now in the question, 50 adults are selected randomly and asked if they like rap music on a scale of 1 - 10. It means there is a possibility of having more than two outcomes. Therefore, it means it is not binomial.

Answer:

Value of k is 9

Step-by-step explanation:

-2x + 8 = -10

-2x = -10 - 8

-2x = -18

x = -18/-2

x = 9

f(x) = f(k)

x = k

9 = k

Hello there!

We are given the function:

\( \displaystyle \large{f(x) = - 2x + 8}\)

We want to find the value of k. First, we know that f(k) is -10. We substitute x = k and f(x) = -10.

\( \displaystyle \large{f(k) = - 2k + 8} \\ \displaystyle \large{ - 10 = - 2k + 8}\)

Solving the equation. First, we subtract both sides by 8.

\( \displaystyle \large{ - 10 - 8 = - 2k +8 - 8} \\ \displaystyle \large{ - 18 = - 2k} \\ \)

Divide both sides by -2.

\( \displaystyle \large{ \frac{ - 18}{ - 2} = \frac{ - 2k}{ - 2} } \\ \displaystyle \large{ 9= k}\)

Therefore, k = 9

When we substitute k = 9 in f(k), the value is -10.

Let me know if you have any questions!

Topic: Linear Function

The particular solution to the differential equation with the initial condition y(7) = 0 is:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

To solve the given differential equation, we can use the method of separation of variables. Here's the step-by-step solution:

Step 1: Write the given differential equation in the form dy/dx = f(x, y).

  In this case, dy/dx = y² - 4.

Step 2: Separate the variables by moving terms involving y to one side and terms involving x to the other side:

  dy / (y² - 4) = dx.

Step 3: Integrate both sides of the equation:

  ∫ dy / (y² - 4) = ∫ dx.

Let's solve each integral separately:

For the left-hand side integral:

Let's express the denominator as the difference of squares: y² - 4 = (y - 2)(y + 2).

Using partial fractions, we can decompose the left-hand side integral:

1 / (y² - 4) = A / (y - 2) + B / (y + 2).

Multiply both sides by (y - 2)(y + 2):

1 = A(y + 2) + B(y - 2).

Expanding the equation:

1 = (A + B)y + 2A - 2B.

By equating the coefficients of the like terms on both sides:

A + B = 0, and

2A - 2B = 1.

Solving these equations simultaneously:

From the first equation, A = -B.

Substituting A = -B in the second equation:

2(-B) - 2B = 1,

-4B = 1,

B = -1/4.

Substituting the value of B in the first equation:

A + (-1/4) = 0,

A = 1/4.

Therefore, the decomposition of the left-hand side integral becomes:

1 / (y² - 4) = 1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2)).

Integrating both sides:

∫ (1 / (y² - 4)) dy = ∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy.

Integrating the right-hand side:

∫ (1/4 * (1 / (y - 2)) - 1/4 * (1 / (y + 2))) dy

= (1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁,

where C₁ is the constant of integration.

For the right-hand side integral:

∫ dx = x + C₂,

where C₂ is the constant of integration.

Combining the results:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| + C₁ = x + C₂.

Simplifying the equation:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + (C₂ - C₁).

Combining the constants of integration:

C = C₂ - C₁, where C is a new constant.

Finally, we have the solution to the differential equation that satisfies the initial condition:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x + C.

To find the value of the constant C, we use the initial condition y(7) = 0:

(1/4) * ln|0 - 2| - (1/4) * ln|0 + 2| = 7 + C.

Simplifying the equation:

(1/4) * ln|-2| - (1/4) * ln|2| = 7 + C,

(1/4) * ln(2) - (1/4) * ln(2) = 7 + C,

0 = 7 + C,

C = -7.

Therefore, the differential equation with the initial condition y(7) = 0 has the following specific solution:

(1/4) * ln|y - 2| - (1/4) * ln|y + 2| = x - 7.

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The values of domain is {-2, -1, 0, 1} and Range is {-7} . The domain of a relation refers to the set of all possible input values, or x-values, in the relation. In this case, the x-values in the relation are -2, -1, 0, and 1. Therefore, the domain is {-2, -1, 0, 1}.

The range of a relation refers to the set of all possible output values, or y-values, in the relation. In this case, the y-values in the relation are all -7. Every ordered pair in the relation has a y-value of -7. Therefore, the range is {-7}.

In this relation, regardless of the input (x-value), the output (y-value) is always -7. This means that for any value of x in the domain, the corresponding y-value is -7.

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Answer: none of the above

Step-by-step explanation:

this is complementary angle meaning two angles have to add up to 90 degrees.

the only answer is 45 degrees which is not listed as an option so it is none of the above

Answer:

(1): "u2"   was replaced by   "u^2".

   2^3x+5xxa^x-2=2^x-2xxa^1-x\u^200b

   2^3x+5xxa^x-2=2^x-2xxa^1-x\u^200b

   2^3x+5xxa^x-2=2^x-2xxa^1-x\u^200b

Tiger was not able to solve for your input:2^3x+5xxa^x-2=2^x-2xxa^1-x\u200b

If the homeowner also had to pay late fees in the amount of $35 four different times, the total cost of the dryer is $809.48. So, correct option is A.

To calculate the total cost of the dryer, we need to add the initial cost of the dryer, the monthly payments, the credit card fees, and the late fees.

The total cost of the dryer can be calculated as follows:

Cost of dryer = $698.27

Total credit card charges = 12 x $1.25 = $15

Total late fees = 4 x $35 = $140

Total cost of the dryer = Cost of dryer + Total credit card charges + Total late fees

= $698.27 + $15 + $140

= $809.27

Therefore, the total cost of the dryer is $809.48, which is the closest option to the calculated answer.

So, correct option is A.

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Answer:

its 5 m/minute

Step-by-step explanation:

you have to use the units that are given in the equation

pls mark brainliest if you geel like it...

Answer:

5 minutes

Step-by-step explanation:

6 min x 5 min = 30

i just multiply