24 of the tables at Martina's Italian Restaurant are full and the other 10 tables are empty. What is the ratio of the number of full tables to the number of empty tables?

Answer:

C

Step-by-step explanation:

because yes so the 25 unit down 12 units up

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

It’s true

Step-by-step explanation:

Proof by induction

Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.

For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.

For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.

For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.

Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.

Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.

Step-by-step explanation:

Step 1:  Check to see if Connor is right

25 divided by the difference of 12 and seven

25 / (12 - 7)

Since we have a 12 and seven, that means that we have them together.  However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7.  Therefore, Connor is incorrect.

Answer:

No he's not correct.

Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5  after doing that we divide 5 by 25 so it would look like this 25÷5=5.

So the correct equation is (12-5) ÷25

Hope this helps!

Using a t-distribution table or calculator, we get the t-score and are 98% positive that the interval (32.126, 53.874) includes the genuine population mean amount the medicine would drop a typical patient's systolic blood pressure to.

We must create a confidence interval for the population mean decrease in systolic blood pressure in order to calculate how much the medicine will reduce a typical patient's systolic blood pressure with a 98% confidence level.

CI = x t /2 * (s / n)

where x is the sample mean, s is the sample standard deviation, n is the sample size, t /2 is the t-score for the desired degree of confidence, and is the significance level (1 - confidence level).

With the supplied variables plugged in, we obtain:

CI = 43 t0.01/2 * (11 / 10)

The t-score at a 98% confidence level and 9 degrees of freedom (n-1) are roughly 2.821, according to a t-distribution table or calculator.

We obtain the following number by substituting it:

CI = 43 2.821 * (11 / 10) = (32.126, 53.874)

As a result, we have a 98% confidence that the interval (32.126, 53.874) contains the actual population mean amount that the medication would reduce the systolic blood pressure of an average patient.

The following requirements must be met for the interval to be valid:

1. The sample is a straightforward random sample taken from the population.

2. For the Central Limit Theorem to be applicable, either the population is normally distributed or the sample size is sufficient (n > 30).

3. A fair estimate of the population standard deviation is the sample standard deviation (which is assumed to be unknown).

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Given data:

The expression for the equation of the line is 6x-8y=40.

The given equation can be written as,

6x-8y=40

8y=6x-40

y=6x/8-40/8

=3x/4-5

Thus, the slope intercept form is y=3x/4-5.

The work done in each of the cases is:

B) W =  8,400 N*m

C) W = 17,500 N*m

The work can be defined by the product between the force and the distance translated.

W = Force*Distance

So, if there is a force of 120N and the vehicle moves 70 meters, the work done is:

W = 120N*70m = 8,400 N*m

C) Similar case to the above one, here the force is F = 3.5 KN = 3,500N

And the distance is d = 15m

Then in this case the work done is:

W = 3,500N*15m = 17,500 N*m

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

As given in the question,

Macro earns commission rate of 6% for the first $6500

And 9% on sales over $6500

Out of $10,500

For first $6500 Commission =(6500 × 6)/ 100

                                            = $390

For $ (10,500 - 6,500 = 4000) commission = (4000 × 9)/ 100

                                                                   = $360

Total graduated commission on sales of $10,500 = $( 390 + 360)

                                                                             = $750

Therefore, total graduated commission earned by Macro on sales of $10,500 with the rate of 6% on the first $6500 and 9% on sales over $6500 is equal to $750.

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Answer:

\(=2/4=1/2\)

Step-by-step explanation:

The sample mean at which 80% of the values fall above is $2792.

We are given the population mean and standard deviation:

Population mean (μ) = $2870

Population standard deviation (σ) = $900

We want to find the sample mean (X) at which 80% of the values fall above. This is equivalent to finding the 20th percentile of the sampling distribution.

Now we can use the formula for the standard error of the mean to find the sample mean:

Standard error of the mean (SE) = σ / s(n)

\((SE) = σ / \sqrt{n}\)

where n is the sample size. We are given that the sample size is 81.

SE = 900 / sqrt(81) = 100

\(SE = 900 / \sqrt{81}= 100\)

To find the sample mean at which 80% of the values fall above, we can use the formula:

X = μ + z*SE

where z is the z-score corresponding to the 20th percentile (-0.84).

X= 2870 - 0.84*100 = 2792 (rounded to the nearest integer)

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Given equation g = x-1/k in terms of x would be x = 1 + gk

for given question,

we have been given an equation g = x-1/k

Dyani began solving the equation g = x-1/k for x by using the addition property of equality.

We solve given equation for x.

⇒ g = x-1/k                      ..........(Given)

⇒ gk = (x - 1/k)k               .........(Multiply both the sides by k)

⇒ gk = x - 1

⇒ gk + 1 = x - 1 + 1           .........(Add 1 to each side)

⇒ gk + 1 = x

⇒ x = 1 + gk

Therefore, given equation g = x-1/k in terms of x would be x = 1 + gk

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Answer:

25 minutes

Step-by-step explanation:

Think about how many steps per minute Paul can walk. Knowing that he can walk 15 steps in 5 minutes, we can say that Paul can walk 3 steps/minute.

We're asked to figure out how many minutes it would take him if he walks at a constant speed if he takes 75 steps. So we can just divide 75 steps into 3 steps/minute and then we should get 25 minutes!

Answer:

25 Minutes.

Step-by-step explanation:

Its hard to explain.

If an auditorium has a total of 1280 seats, there are 40 seats in each row.

The total number of seats in the auditorium is modeled by the function f(x) = \(2x^{2} -24x\), where x represents the number of seats in each row. We need to find the value of x when f(x) equals 1280.

Setting the equation equal to 1280, we have:

\(2x^{2} -24x\) = 1280

Rearranging the equation, we get:

\(2x^{2} -24x\) - 1280 = 0

To solve this quadratic equation, we can either factor it or use the quadratic formula. Factoring is not straightforward in this case, so we'll use the quadratic formula

x = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 2, b = -24, and c = -1280. Plugging in these values, we have:

x = (-(-24) ± √((-24)^2 - 4(2)(-1280))) / (2(2))

Simplifying further, we get:

x = (24 ± √(576 + 10240)) / 4

x = (24 ± √10816) / 4

x = (24 ± 104) / 4

This gives us two possible solutions: x = (24 + 104) / 4 = 128/4 = 32 or x = (24 - 104) / 4 = -80/4 = -20.

Since the number of seats cannot be negative, the valid solution is x = 32. Therefore, there are 32 seats in each row of the auditorium.

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Answer:

1. -b^2+13b

2. 1.9y^2-1.4y+4

Step-by-step explanation:

1. -0.8b^2+7.4b+(5.6b-0.2b^2)

Simplify: -0.8b^2+7.4b+5.6b-0.2b^2

Add like terms: (-0.8b^2-0.2b^2)= -1b^2/-b^2 (7.4b+5.6b)= 13b

Answer: -b^2+13b

2. (7.3y-y^2+4)+0.5y^2-(8.7y-2.4y^2)

Simplify: 7.3y-y^2+4+0.5y^2-8.7y+2.4y^2

Add like terms: (2.4y^2-y^2)= 1.9y^2 (7.3y-8.7y)= -1.4y (don't forget about the 4)

Answer: 1.9y^2-1.4y+4

Answer: See attached for a graph.

Step-by-step explanation:

        Coordinate points are written as (x, y). The x-value is responsible for left and right, and the y-value is responsible for up and down. This means that (-1/2, 2) is 1/2 left and 2 up.

Answer:

3 4/15

Step-by-step explanation:

7 1/15= 106/15

3 4/5= 19/5

19/5*3= 57/15

106-57= 49

49/15

3 4/15

a) The equation of the least squares regression line is of: y = 1.26435x + 6.08367.

b) The correlation coefficient of the data is of: r = 0.9172.

The linear regression equation is obtained inserting the points of the data-set into a linear regression calculator.

From the table given by the image at the end of the answer, the points are given as follows:

(14.4, 25.5), (24.3, 37.4), (27.2, 36.5), (29.9, 45.5), (20.4, 28.7), (28.8, 46.1), (20.9, 33.6), (23.2, 38.3), (28.6, 41.3), (25.4, 35.3).

Inserting these points into a calculator, the linear regression equation, also called least squares regression line, is given as follows:

y = 1.26435x + 6.08367

The same points used to obtain the least squares regression line are inserted into a correlation coefficient calculator, and the numeric value of the coefficient is given as follows:

r = 0.9172.

The table is given by the image presented at the end of the answer.

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We can use the power series representation sum of the function f(x) = (1+x)^3 to find a closed-form expression for the series x[infinity] n=1 (-1)^n (2n+1)^3n.

Specifically, we have:

f(x) = (1+x)^3 = 1 + 3x + 3x^2 + x^3

Taking the cube of this expression gives:

f(x)^3 = (1 + 3x + 3x^2 + x^3)^3

Expanding this out using the binomial theorem gives:

f(x)^3 = 1 + 9x + 36x^2 + 84x^3 + 126x^4 + 126x^5 + 84x^6 + 36x^7 + 9x^8 + x^9

We can rewrite the terms with even powers of x as:

f(x)^3 = 1 + 9x + 36x^2 + 84x^3 + x^4 (126 + 126x + 84x^2 + 36x^3 + 9x^4)

Note that the expression in parentheses is just the power series representation of (1+x)^4. Therefore, we can simplify the above expression to:

f(x)^3 = 1 + 9x + 36x^2 + 84x^3 + x^4 (1+x)^4

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Answer:

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

7/8 yards

Step-by-step explanation:

converting each fraction to match 1/8 would be

1/4=2/8

1/8

1/2=4/8

add them together and get 7/8

The result of the triple integral is [(((x² - y²)²(x+y))u + C₁)t + C₂]x + C₃.

The given expression is 2(x² - y²)², and we need to evaluate the triple integral of this expression over the region R, with the limits of integration as 3 ≤ u ≤ 1 and 2 ≤ t ≤ 1.

To evaluate the triple integral, we can use the method of iterated integrals, integrating one variable at a time.

Starting with the innermost integral, we integrate with respect to u:

∫ (x² - y²)² du = [(x² - y²)²(x+y)]u + C₁,

where C₁ is the constant of integration.

Moving on to the second integral, we integrate the result from the first step with respect to t:

∫∫ [((x² - y²)²(x+y))u + C₁] dt = [((x² - y²)²(x+y))u + C₁]t + C₂,

where C₂ is the constant of integration.

Finally, we integrate the expression from the second step with respect to x:

∫∫∫ [(((x² - y²)²(x+y))u + C₁)t + C₂] dx = [(((x² - y²)²(x+y))u + C₁)t + C₂]x + C₃,

where C₃ is the constant of integration.

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The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Answer:

\(\dfrac{x}{2} = 18.8\)

Step-by-step explanation:

Let x represent the number Dan was thinking about.

Half of the number, x = 18.8

Therefore, when x is divided by 2, the result is 18.8

The equation which can be formed with the given information is therefore;

\(\dfrac{x}{2} = 18.8\)

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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☆ Bio fertilizer :- Biofertilisers are organisms that enrich the nutrient quality of the soil. The main source f biofertilizers are bacteria, fungi and cyanobacteria.

Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z.

Let us consider two identical quadrilaterals, ABCD and A' B' C' D', where each vertex of the first quadrilateral is mapped to a corresponding vertex of the second quadrilateral by a certain transformation. Specifically, vertex A is mapped to vertex W, vertex B is mapped to vertex X, vertex C is mapped to vertex Y, and vertex D is mapped to vertex Z.

Without more information about the nature of the transformation, it is difficult to say much about the quadrilaterals or their properties. However, some general observations can be made

Hence, we can also add information about the transformation or the quadrilaterals in this type of problem.

The given question is incomplete.

The complete question is "How can we say that the quadrilateral ABCD and quadrilateral WXYZ is identical"

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Answer:

option B is correct(ASA)because the S in the middle of the two A(s) makes it congruent