What is the equation in slope-intercept form of a line with
slope -5/4 and y-intercept 2?

Step-by-step explanation:

For a RIGHT triangle   Sin = opposite LEG / Hypotenuse

           sin x = 45/ 83

                 x = arcsin (45/83)  = use calculator = 32.8 degrees

Answer:

4,069.44 in squared

Step-by-step explanation:

pir^2

72/2 = 36

36^2 = 1,296pi

1,296*3.14 = 4,069.44

Answer:$7

Step-by-step explanation:

Answer:

they charge 6$ for 300 text messages.

Step-by-step explanation:

hope this helped! c:

Answer:

Rates given

Calculations for the given distance:

Greetings from Brasil...

Given the function of this factory (P(X)), we want to know the profit (P) for a box of cookie, that is, when X = 1

P(X) = 4X - 2

for 1 box of cookies, X = 1, so

P(1) = 4.1 - 2

P(1) = 4 - 2

So, for 1 box of cookie will cost $2

Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

The above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0. Thus,df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

Given complex function is f(z) = x2 + jy2. We are supposed to find df(0) / dz.Solution:To find df(0) / dz, we need to first find f(z) as a function of z. Since, f(z) = x2 + jy2, we have, f(z) = |z|2. Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2. Differentiating this with respect to z, we get,df / dz (|z|2) = df / dz (r2) = 2r dr/dz. Now, we need to find dz. This can be found using the following relation, dz = dx + jdy.

Thus, we have,dz = dx + jdy = 1/2 (dz + d\bar{z}) + j 1/2 (dz - d\bar{z}) = (dx - dy)/2 + j (dx + dy)/2. 

Therefore,

df/dz = df/dr (dr/dz)

= 2r / (dx - dy - 2jdx). T

he above obtained relation can be used to find df(0) / dz as we now have df/dr (dr/dz) evaluated at z=0.

Thus, df(0) / dz = 2 * 0 / (-dx - 2jdx) = 0. Hence, the required solution is df(0) / dz = 0.

To find df(0) / dz, we need to first find f(z) as a function of z.

Since, f(z) = x2 + jy2,

we have, f(z) = |z|2.

Now, we have, |z|2 = (x+iy) (x-iy) = x2 + y2 = r2.

Differentiating this with respect to z, we get,

df / dz (|z|2) = df / dz (r2) = 2r dr/dz. 

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Answer:

x1=\(\frac{-1-13}{3}\), x2=\(\frac{-1+13}{3}\)

Step-by-step explanation:

Answer:

Two hundred sixty and ninety-four hundredths

Step-by-step explanation:

hope this helps

Answer:

two hundred sixty and ninety-four hundredths

Step-by-step explanation:

Step-by-step explanation:

15x² + 9y² = 30

Divide both sides by 30 and reduce.

15x²/30 + 9y²/30 = 1

x²/2 + 3y²/10 = 1

x²/2 + y²/(10/3) = 1

Answer:

To simplify the expression, we need to distribute the negative sign to all the terms inside the parentheses, and then combine like terms.

Starting with:

(5x^4-4x^3-2x^2+x-19)-(x^4+5x^3+8x^2+x+5)

Distribute the negative sign inside the parentheses:

5x^4 - 4x^3 - 2x^2 + x - 19 - x^4 - 5x^3 - 8x^2 - x - 5

Now we can combine like terms:

(5x^4 - x^4) + (-4x^3 - 5x^3) + (-2x^2 - 8x^2) + (x - x) + (-19 - 5)

Simplifying further:

4x^4 - 9x^3 - 10x^2 - 24

Therefore, the simplified expression is:

4x^4 - 9x^3 - 10x^2 - 24.

The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

Learn about the dimensions and components of matrices by starting your first introduction. A rectangular grid of numbers organized into rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. matrix, a collection of numbers lined up in rows and columns to create a rectangular array.  In addition to many other areas of mathematics, matrices have extensive applications in the fields of engineering, physics, economics, and statistics. It is so named because there is just one row, and a row matrix has the order 1 n as a result.

given

Eigen values ( λ )

| A - λI | = 0

=  ( 7 - λ ) ( 11 - λ ) ( 11 - λ ) =0

= λ = 7 , 11 , 11

eigen vector for λ = 7

( A - IB ) X = 0

= Let y = 1 , n1 = ( -1  1  0 )

eigen vector for λ = 11

( A - λI ) X = 0

n2 = ( 0 1 0 ) let n3= ( -2 0 1 )

D = ( 7 0 0 ,  0 11 0 , 0 0 11 )

The real eigenvalues of the given matrix, once it has been diagonalized, are presented to its right as D = (7 0 0, 0 11 0, 0 0 11).

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Choosing two out of four is a combination problem because the order is irrelevant. A sample of A, B is equivalent to a sample of B, A if the population of 4 is A, B, C, and D.

The sample size is the number of observations used to calculate estimates for a given population. The sample size was chosen from the population. The term "sample size" refers to the number of subjects or observations in a study. This number is commonly represented by the letter n. Two statistical characteristics are influenced by sample size: 1) The accuracy of our estimates; 2) The research's ability to generate inferences. The samples are the results of random tests. When sampling a random variable, a specific value is chosen from a set of possible values. This particular value is referred to as a sample. The probability distribution of the random variable determines the possible values and their probabilities.

Choosing two out of four is a combination problem because the order is unimportant (no indication concerning order is given in the problem). If the population of four is A, B, C, and D, a sample of A, B is equivalent to a sample of B, A.

There are a total of 4C2 = 6 potential samples.

You could also list all potential samples as "A, B," "A, C," "A, D," "B, C," "B, D," and "C, D" for such a small population.

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The statement "The shape of a sampling distribution of sample means that follows the requirements of the central limit theorem will be approximately bell-shaped" is true.

The central limit theorem states that as the sample size increases, the distribution of sample means approaches a normal distribution. This normal distribution is approximately bell-shaped. Therefore, the shape of a sampling distribution of sample means that follows the requirements of the central limit theorem will be approximately bell-shaped.

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Answer:

1

Step-by-step explanation:

is the question choose one or multiple

Answer:

the answer would be 1

Step-by-step explanation:

Answer: sum, multiple

Step-by-step explanation:

A number is divisible by 9 if the sum of digits is a multiple of 9.

Answer:

Step-by-step explanation:

A number is divisible by 9 if the sum of digits is a divisible of 9.

Answer:

$0.85 per pound

Step-by-step explanation:

4.25/5 = 0.85

Answer:

0.85

Step-by-step explanation:

4.25÷5=0.85

The coordinates of the other endpoint of the Line segment is (-2,-5).

If M(x.y) divides the line formed by two points A(a,b) and B(c,d) into a ratio m:n. Then the coordinates of the point M can be found out by using the formula,

x = (mc + na)/(m+n)

y = (md + nb)/(m+n)

This above mentioned formula is known as The section Formula.

The one of the End point of the line is (10,-1) and the point (7,-2) is dividing the line in the ratio of 1:3.

Let us assume the other end point to be (a,b).

Now, applying Section Formula,

7 = [(1)(a)+(3)(10)]/4 and

-2 = [(1)(b)+(3)(-1)]/4

Further solving,

a = -2 and

b = -5

So, the coordinates of the endpoint is (-2,-5).

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Answer:

mean is $11

median is $10

Step-by-step explanation:

Answer:

2x + 5 = 3

Step-by-step explanation:

2x + 5 = x = -2 + 5

x = 3

To prove the formula\(\(\boldsymbol{S}(\boldsymbol{n}) = \sum_{\boldsymbol{k}=\mathbf{1}}^{n} \boldsymbol{k}^{\mathbf{3}} = \left(\frac{n(n+1)}{2}\right)^{2}\)\)by induction, we will first establish the base case and then proceed with the inductive step.

Base case (n = 1): When \(n = 1\), the formula becomes\(\(\boldsymbol{S}(1) = 1^{3} = \left(\frac{1(1+1)}{2}\right)^{2} = 1\),\) which holds true.

Inductive step: Assume that the formula holds true for some arbitrary positive integer \(k\), i.e.,\(\(\boldsymbol{S}(k) = \sum_{\boldsymbol{i}=\mathbf{1}}^{k} \boldsymbol{i}^{\mathbf{3}} = \left(\frac{k(k+1)}{2}\right)^{2}\).\)

We need to show that the formula also holds true for \(n = k+1\), i.e., \\((\boldsymbol{S}(k+1) = \sum_{\boldsymbol{i}=\mathbf{1}}^{k+1} \boldsymbol{i}^{\mathbf{3}} = \left(\frac{(k+1)(k+2)}{2}\right)^{2}\).\)

Expanding the sum on the left side, we have\(\(\boldsymbol{S}(k+1) = \boldsymbol{S}(k) + (k+1)^3\). Using the induction hypothesis, we substitute \(\boldsymbol{S}(k) = \left(\frac{k(k+1)}{2}\right)^{2}\)\).

By simplifying, we get \(\(\boldsymbol{S}(k+1) = \left(\frac{k(k+1)}{2}\right)^{2} + (k+1)^3\). Rearranging this expression, we obtain \(\boldsymbol{S}(k+1) = \left(\frac{(k+1)(k^2+4k+4)}{2}\right)^{2}\).\)

Finally, we can simplify the right side to \(\(\left(\frac{(k+1)(k+2)}{2}\right)^{2}\)\), which matches the desired form.

Since the base case is true, and we have shown that if the formula holds for \(k\), it also holds for \(k+1\), we can conclude that the formula \\((\boldsymbol{S}(\boldsymbol{n}) = \sum_{\boldsymbol{k}=\mathbf{1}}^{n} \boldsymbol{k}^{\mathbf{3}} = \left(\frac{n(n+1)}{2}\right)^{2}\)\) holds for all positive integers \(n\) by the principle of mathematical induction.'

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Answer:

\(t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15\)

If in the mail, she received 14 envelopes, and each envelope included $2. 70,Sarah received a total of $37.80 in the mail.

Sarah received a total of 14 envelopes, and each envelope had $2.70. To find out how much money she received in total, we can multiply the number of envelopes by the amount of money in each envelope:

Total money = 14 × $2.70

We can simplify the expression by first multiplying the whole number, 14, by the tenths value of $2.70, which is $0.70:

Total money = $37.80

This amount of money is the sum of all the money in the 14 envelopes she received. It can be useful to double-check the answer by adding up the amounts in each envelope manually, but in this case, it is not necessary since we have already calculated the total.

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Answer: 16

Step-by-step explanation:

1/5 x 70 = 14
70 - 14 = 56
5/7 x 56 = 40
56 - 40 = 16

Answer:

16

Step-by-step explanation:

Yesterday, the bookstore sold 1/5 of the 70 copies, which is 70 * 1/5 = 14 copies.

After selling 14 copies, the bookstore was left with 70 - 14 = 56 copies.

Today, the bookstore sold 5/7 of what remained, which is 5/7 * 56 = 40 copies.

So, the bookstore has 56 - 40 = 16 copies left.

2 x 3 = 3 x 2

Explanation:

The commutative property of multiplication says we can multiply any two numbers in any order we want. The general rule is a x b = b x a, where x represents the multiplication symbol. The 'a' and 'b' can be any two numbers you want.

Choice C shows an example of this. Either side simplifies to 6.

Another example would be 4 x 5 = 5 x 4 where both sides become 20.

Answer:

Step-by-step explanation:

Let G, B and Y denotes the number of green, blue and yellow marbles.

Given that:

From this,

Substitute the vlaues of Y and G into the equation G+B+Y=694.

Keith had 336 blue marbles.