If x, y, z, are integers such that 2^x*3^y*7^z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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Answer: my answer for dat will be sin 16 degrees

Step-by-step explanation:

Answer:

3 I think it's answer.............

If the given statement was based on a sample of 10 customers, (2.51, and 5.09) would be the 90% confidence interval. Thus, option d is correct.

The given data is as follows:

product money (mean) =  $3.8 million

standard deviation (s) = $1.9 million

Number of sample customers (n) = 10

confidence interval = 90%

α = 0.05

The Confidence interval is calculated by using the formula,

Confidence interval =  m ± t(α, df = n - 1) * standard error

The standard error is calculated by using the formula

Standard Error = s/√n

Standard Error = (1.9/ √10) = 0.60

Confidence interval = t(0.05,9) = 2.2621 (t value calculator)

Hence,

3.8 ± 2.2621(0.60)

Lower bound = 3.8 - 2.2621(0.60)

Lower bound =  2.512

Upper bound = 3.8 + 2.2621(0.60)

Upper bound = 5.092

Confidence interval  = (2.51, 5.09)

Therefore, we can conclude that the Confidence interval is (2.51, 5.09).

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Answer:

?

Step-by-step explanation:

Answer:

158 quarters

54 dimes

Step-by-step explanation:

Let d = no. of dimes

     q = no. of quarters

10d = value of all the dimes since each dime is worth 10 cents

and 25q = value of all the quarters since each quarter is worth 25 cents

$44.90 = 4490 cents

  10d + 25q = 4490              d + q = 212

- 10d - 10q = -2120

             15q = 2370

                 q = 158 quarters   d + 158 = 212

                                                        d = 54 dimes

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

Answer:

A: 28.2m

Step-by-step explanation:

I took the quiz

Answer:

the 2nd one

Step-by-step explanation:

just substitue values.

Answer:

2 and 4

Step-by-step explanation:

Try out 2/3 in each equation.

1. 2/3 + 12 120

12 2/3 120 is not true, so its not this one

2. 2/3 + 12 \(\leq\) 120

12 2/3 \(\leq\) 120 is true, so this one works!

3. 12*2/3 \(\geq \\\) 120

8 \(\geq\) 120 is not true, so this one doesn't work

4. 12 * 2/3 \(\leq\) 120

8 \(\leq\) 120 is true, so this one works

Answer:

-7i

Step-by-step explanation:

You just basically combine the common terms. -6+6 is 0, which represents nothing. -2i-5i is  -7i, so the answer is 0-7i, which is -7i. (Just a reminder, i represents the square root of -1) I hope this is helpful!

Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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To find the means, variances, covariance, and correlation coefficient of random variables X and Y with a joint PMF:

- Calculate the means: E[X] and E[Y].

- Compute the variances: Var(X) and Var(Y).

- Find the covariance: Cov(X, Y).

- Determine the correlation coefficient: ρ(X, Y).

Based on the covariance, we can determine if X and Y are independent or dependent.

Let the random variables X and Y have a joint probability mass function (PMF). We need to find the means (expected values), variances, covariance, and correlation coefficient of X and Y, and determine whether they are independent or dependent.

The mean of a random variable X is denoted by E[X] or μX, and it is calculated as the sum of all possible values of X weighted by their respective probabilities. Similarly, the variance of X, denoted by Var(X) or σ²X, measures the spread or dispersion of the values of X around its mean.

The covariance between two random variables X and Y, denoted by Cov(X, Y), measures the degree to which they vary together. It is calculated as the sum of the products of the differences of the values of X and its mean, and the differences of the values of Y and its mean, weighted by their joint probabilities.

The correlation coefficient between X and Y, denoted by ρ(X, Y), quantifies the strength and direction of the linear relationship between them. It is calculated by dividing the covariance of X and Y by the product of their standard deviations.

To determine the means and variances, we can use the following formulas:

E[X] = ∑x∑y x * P(X = x, Y = y)

E[Y] = ∑x∑y y * P(X = x, Y = y)

Var(X) = E[X²] - (E[X])²

Var(Y) = E[Y²] - (E[Y])²

To calculate the covariance, we use the formula:

Cov(X, Y) = E[XY] - E[X]E[Y]

Once we have the means and variances, we can calculate the correlation coefficient using the formula:

ρ(X, Y) = Cov(X, Y) / (√Var(X) * √Var(Y))

Based on the calculations of means, variances, covariance, and correlation coefficient, we can determine whether X and Y are independent or dependent. If the covariance is zero (Cov(X, Y) = 0), then X and Y are independent. Otherwise, they are dependent.

In summary, to find the means, variances, covariance, and correlation coefficient of X and Y, we use the formulas mentioned above. Based on the calculated values, we can determine whether X and Y are independent or dependent.

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The annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

To determine the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily, we can use the formula:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount (initial investment)
r = the annual interest rate (6.63%)
n = the number of times interest is compounded per year (365 for daily compounding)
t = the number of years (8)
Plugging in the values, we have:
A = 1200(1 + 0.0663/365)^(365*8)
Calculating this, we get A ≈ $1,968.49.
To find the annual percentage yield, we need to find the interest earned:
Interest = A - P = $1,968.49 - $1200 = $768.49
Now, we can find the annual percentage yield using the formula:
Annual percentage yield = (Interest / P) * 100
Plugging in the values, we have:
Annual percentage yield ≈ ($768.49 / $1200) * 100 ≈ 64.04%
Therefore, the annual percentage yield, or the effective interest rate, for $1200 invested at 6.63% over 8 years compounded daily is approximately 64.04%.

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Answer:

= Divide the 26 feet by 3.25 feet

26 ÷ 3.25 = 8

= then Multiply the 8 by 1.7 degrees

8 × 1.7 = 13.6

= Subtract 13.6 from 26 feet

26 - 13.6 = 12.4

= Round 12.4 to the nearest tenth

12.4 = 12

Answer: 12

The value the variables are;

y = 2.3

x = 3.5

From the information given, we have that the triangle is

sin X = 3/4

divide the values, we have;

sin X = 0.75

X = 48. 6

Then, we have;

X + Y= 90

Y = 90 - 48.6 = 41.4 degrees

tan Y = y/2.6

cross multiply the values

y = 2.3

The value of x is ;

sin 41.4 = 2.3/x

x = 3.5

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Evaluating the given expression, (2/3)^4 as a fraction, would be: 16/61.

To evaluate fractions, with exponents, do the following:

Given the expression, (2/3)^4, we have,

2^4 / 3^4 = (2 × 2 × 2 × 2) / 3 × 3 × 3 × 3

(2/3)^4 = 16/81

Thus, evaluating (2/3)^4 will give us: 16/81.

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The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called: Central Limit Theorem.

The central limit theorem (CLT) of probability theory states that, under the assumption that all samples are of equal size and regardless of the population's actual distribution shape, the distribution of a sample variable approaches a normal distribution (i.e., a "bell curve") as the sample size increases.

Now,

As stated in the definition of the Central Limit Theorem, sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large with the help of the stated theorem.

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Answer: あるアルゴリズムが多項式時間で答えを提供できる一般的なクラスの質問は、「クラスP」または単に「P」と呼ばれます。 ...多項式時間で答えを検証できる質問のクラスは、NPと呼ばれ、「非決定論的多項式時間」を表します。

Step-by-step explanation: 恵まれた一日を

Answer: 非決定論的多項式時間

English: nondeterministic polynomial time

Answer:

Part A). 25 feet

Part B). 16.25 feet

Step-by-step explanation:

Part A). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

            AC² = (24)² + 7²

            AC² = 576 + 49

            AC = √625

                  = 25 feet

Part B). By applying Pythagoras theorem in ΔABC,

            AC² = AB² + BC²

           (25)² = (19)² + x²

           625 = 361 + x²

           x² = 625 - 361

           x = √264

           x = 16.25 feet

Answer:

a=2c-4b

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain variables.

If we take t as total paid amount

x as the amount before adding tip

Then, the bill before adding tip would be

x = 31.29(1 - 0.196)

x = 25.15

If we take t as total paid amount

x as the amount before adding tip

We give our servers tips to show our appreciation for their helpfulness. As a statement that the service was subpar, we can also leave a very little tip or none at all.

However, how did tipping begin in the first place? Why don't businesses simply pay their staff a standard salary and raise their pricing to cover the difference? They do in certain areas, but many of us, particularly in the United States, are so used to tipping for good service and unsure of protocol that we end up tipping our servers regardless.

There are numerous theories as well.

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Answer:Elisa made the greater number of withdrawals

Step-by-step explanation:

208 divided by 26 is 8

245 divided by 49 is 5

Answer:

5

Step-by-step explanation:

divid lol

Here is an equation that could represent Ted's total September costs:

C = 3600 + 1.50x, where C is the total September cost and x is the number of 16-ounce bags of coffee sold.

This equation takes into account the monthly fixed costs of $3600, as well as the cost of the coffee that Ted sells at $1.50 per 16-ounce bag. If you know the number of bags of coffee that Ted sold in September, you can use this equation to calculate his total September costs. In general, cost refers to the amount of money that is required in order to obtain something. For example, the cost of a product or service is the amount of money that you need to pay in order to purchase or receive it. The cost of something can also refer to the resources that are required to obtain or produce it, such as time, effort, or materials.

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For a sample of rating of an automobile manufacturer's van regarding rating of 28.3 miles/gallon (mpg), the Z-test statistic value is equals to the -1.631.

Z-test is a parametric test. When the sample size is sufficiently large, it is mostly used. This test statistic is computed a standard normal distribution. It is then compared with the critical value (obtained from z-table). If the test statistic value is greater than it, there is evidence to reject the null hypothesis. We have an automobile manufacturer with its van rating. A sample of 200 vans is randomly considered. Sample size, n = 200

Mean of rating = 28

Standard deviations = 2.6

Lavel of significance= 0.01

To test the firm'claim we have to consider hypothesis testing here. Since it is claimed by an automobile manufacturer that its car has a 28.3 miles/gallon (MPG) rating, therefore, the null hypothesis and alternative can be stated as:

\(H_0 :μ = 28.3\)

\(H_a :μ≠28.3\)

Now, to determine the value of the test statistic, consider the Z-test : \( z = \dfrac{{M - \mu }}{{\dfrac{\sigma }{{\sqrt n }}}}\)

where, M -> mean

n --> sample size

Substitute all known values in above formula, \(= \dfrac{{28 - 28.3}}{{\dfrac{{2.6 }}{{\sqrt {200} }}}}\\\)

\(= \dfrac{{-0.3}}{{\dfrac{{0.26 }}{{\sqrt {2} }}}}\\\)

=> z = - 1.631

Hence, required test statistic value is -1.631.

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Answer:

The answer is B: (–1, 0)

Step-by-step explanation:

Just did it on edge, hope this helps :)

Answer:

b

Step-by-step explanation:

truss mee

Answer:

52

Step-by-step explanation:

38+14=52

Hope that helps

Answer: f(0)= 4

Step-by-step explanation:

First you need to plug 0 in for x

f (x)=-x+4 -> f(0)= -(0)+4

next solve:

f(0)= -(0)+4

0*-1 = 0

f(0)= 4

The correct answer is  f(0)= 4.

Hope this helps!

The required answer is  the mapping x U(T(x)) is the identity mapping, U(T(x)) x for all x in R.

A. Yes, it is true. AB is the standard matrix of the mapping xUx) due to how matrix multiplication is defined. By hypothesis, this mapping is the identity mapping, so AB= I. Since both A and B are square and AB= 1, the Invertible Matrix Theorem states that both A and B are invertible, and B =A^-1. Thus, BA= I.

The standard matrix for the linear transformation T and B be the standard matrix for the linear transformation U.

Identity mapping are known as identity map is a always return the value that used as arguments. The matrix is the first installment in the matrix. It is a rectangular array or table of number. Matrix are arranged in rows and columns. Many kinds of matrix , thus the matrix are the same number of rows and columns is in square matrix. vector space is applied to linear operator is called identity function. This function are the positive integers is a represented by the matrix.

This means that the mapping x U(T(x)) is the identity mapping. Therefore, U(T(x)) x for all x in R.

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