What is 7[12-(6-2)4]

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

D. 4

Step-by-step explanation:

\( [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4\)

Answer:

8

Step-by-step explanation:

1.) 9.6=1.2b

2.) 9.6/1.2=1.2b/1.2

3.)b=8

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{b = 8}}}}}\)

Step-by-step explanation:

\( \star{ \sf{ \: \: \: 9.6 = 1.2b}}\)

Swap the sides of the equation

\( \hookrightarrow{ \sf{1.2b = 9.6}}\)

Divide both sides by 1.2

\( \hookrightarrow{ \sf{ \frac{1.2b}{1.2} = \frac{9.6}{1.2} }}\)

Calculate

\( \hookrightarrow{ \bold{ \boxed{ \sf{b = 8}}}}\)

The value of b is 8

Hope I helped!

Best regards! :D

~ TheAnimeGirl

There are 120 different ways to award the gold, silver, and bronze medals to the 10 women in the 100 meters race.

The number of ways that the gold, silver, and bronze medals can be awarded to 10 women is a combination problem.

We can use the formula for combinations to determine the number of ways to choose 3 women out of 10 for the medals:

\(nCr = n! / (r! * (n - r)!)\)

Where n is the total number of women (10) and r is the number of medals (3).

So, the number of ways to award the gold, silver, and bronze medals to the 10 women is:

\(10C3 = 10! / (3! * (10 - 3)!) = 120\)

Therefore, there are 120 different ways to award the gold, silver, and bronze medals to the 10 women in the 100 meters race.

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Answer:

y = x + 7

Step-by-step explanation:

If the slope is 1, the original equation is y = mx + b, with m being 1.

Now substitute -6 and 1 for x and y and solve for b

1 = 1(-6) + b

1 = -6 + b

7 = b

Put it all together:

y = x + 7

Answer:  10% of 125 is 12.5

Answer:12.5

Step-by-step explanation:

Divide 125 by 10%. 125 divided by 10% is 12.5.

Answer:

Step-by-step explanation:

65 degrees since opposite side also has 65

Answer:

10%

Step-by-step explanation:

30+15=45

45 is 10% of 450 as 450/10= 45

Answer:

Ok, tenemos que el cheque es de 16_41.

Y también sabemos que podemos dividir este numero entre 13 personas, de acá podemos concluir que este numero es un múltiplo de 13.

Sea el dígito faltan igual a x

Sabemos que un numero es divisible por 13 cuando la suma de los productos de las  unidades, decenas, centenas,...  De dicho número  por los dígitos contenidos en la lista {1, –3, –4, –1, 3, 4 } (en ese orden) es  0  o múltiplo de 13.

Entonces, tenemos:

16x41:

1*1 + 4*(-3) + x*-4 + 6*-1 + 1*3 = 1 - 12 -4x - 6 + 3

=-14 - 4*x  

entonces, -14 - 4*x tiene que ser igual a 0, 13 o algún múltiplo de 13.

Como ambos términos son negativos, no podemos tener esta igualdad igual a 0 o a 13, entonces apuntamos por el siguiente múltiplo de 13 después de -13 (es decir, 13*-2 = -26)

-26 = -14 - 4*x

-26 + 14 = -4*x

-12 = -4*x

-12/-4 = 3 = x

Entonces nuestro dígito es igual a 3, y nuestro numero es:

16341.

Ahora podemos probar:

16241/13 = 1257

Es decir, cada miembro recibe 1257.

I got x= t y=(-3-t)/3 z=-21+t is this right Yes, your parametrization is correct! To solve this problem, you can use the following steps:

1. Write out the equations for both planes P and Q, which are x - 2 y - z = 5 and 2x + y - z = 2.

2. Find a point of intersection between these two planes. This can be done by solving the equations for x, y, and z.

3. Use the point of intersection to create a parametrization of the line that is the intersection of the planes. This can be done by finding a vector equation for the line in terms of a parameter t.

4. Plug in the point of intersection into the vector equation and solve for t.

5. Substitute the value of t back into the vector equation to get the parametrization of the line.

Therefore, the parametrization of the line that is the intersection of the planes P and Q is given and you will get x= t y=(-3-t)/3 z=-21+t.

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No, the given pair of coordinates as required to be assessed is not a solution to the equation; y = x.

It follows from the task content that the verdict which is true about whether the given pair of coordinates ( -3, 1 ) is a solution to the equation; y = x.

Since the given equation is; y = x and the given pair of coordinates is; ( -3, 1 ).

Recalling that it follows from convention that coordinate pairs are written as; ( x, y ).

On this note, for the given pair of coordinates; ( -3, 1 ), it follows that; x = -3 and y = 1.

Therefore, by substitution; since; 1 ≠ -3, it follows that the given pair of coordinates is not a solution for the equation.

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Answer:

The answer is option A.

Hope this helps

The closest option to the calculated net present value is d. $(15,542).

To calculate the net present value (NPV) of the project, we need to discount the annual cash flows to their present value and subtract the initial investment.

Using the formula for the present value of a cash flow:

PV = CF / (1 + r)^n

Where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.

For the given data:

Initial investment = $380,000

Annual cash flow = $133,000 per year

Expected life of the project = 4 years

Discount rate = 13%

Calculating the present value of the annual cash flows:

PV = $133,000 / (1 + 0.13)^1 + $133,000 / (1 + 0.13)^2 + $133,000 / (1 + 0.13)^3 + $133,000 / (1 + 0.13)^4

PV ≈ $133,000 / 1.13 + $133,000 / 1.28 + $133,000 / 1.45 + $133,000 / 1.64

PV ≈ $117,699 + $104,687 + $91,724 + $81,098

PV ≈ $395,208

Finally, calculating the net present value:

NPV = PV - Initial investment

NPV ≈ $395,208 - $380,000

NPV ≈ $15,208

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Given:

Required:

To find the values of the given functions at the given values of x.

Explanation:

At x = 0.5, Put x=0.5 in f(x) and g(x).

Now put x=1 in f(x) and g(x)

Now put x=2 in f(x) and g(x).

Similarly, we will put the other values of x in f(x) and g(x), and then make the table by putting the values.

Answer:

$1,196

Step-by-step explanation:

Find overtime pay:

$26 × 1.5 = $39

Calculate total pay for regular hours:

$26 × 40 = $1,040

Calculate total pay for overtime:

$39 × 4 =  $156

Add together:

$1,040 + $156 = $1,196

Answer:

I couldn't do upto no.59. Sorry I don't know how to do it.

Step-by-step explanation:

I have attached my answer below.

Answer:

x=35

Step-by-step explanation:

29+6=35

btw are you sure that you are in highschool???

Answer:

35

Step-by-step explanation:

29+6 is 35 u sure in high school?

The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

8.513

Step-by-step explanation:

To round 8.51348424552 to 3 decimal places, we look at the digit in the fourth decimal place, which is digit 4. Since the digit 4 is less than 5, we don't need to round up the previous digit. Therefore, the rounded value is 8.513.

In this case, the digit in the third decimal place, which is 3, remains unchanged. The purpose of rounding to 3 decimal places is to have a value that is accurate to the nearest thousandth. So, by rounding 8.51348424552 to 3 decimal places, we obtain 8.513 as the result.

The least squares estimate of the y-intercept is 42.6, which is closest to option d) 42. So option d is the correct answer.

To find the least squares estimate of the y-intercept, we'll first need to calculate the slope (m) and then use it to determine the y-intercept (b).

1. Calculate the means of x and y values:
x_mean = (2 + 5 + 4 + 3 + 6) / 5 = 20 / 5 = 4
y_mean = (50 + 70 + 75 + 80 + 94) / 5 = 369 / 5 = 73.8

2. Calculate the differences from the means for x and y:
x_diff = [2-4, 5-4, 4-4, 3-4, 6-4] = [-2, 1, 0, -1, 2]
y_diff = [50-73.8, 70-73.8, 75-73.8, 80-73.8, 94-73.8] = [-23.8, -3.8, 1.2, 6.2, 20.2]

3. Calculate the product of the x and y differences and the square of x differences:
xy_diff = [-2*(-23.8), 1*(-3.8), 0*1.2, -1*6.2, 2*20.2] = [47.6, -3.8, 0, -6.2, 40.4]
x_squared_diff = [-2^2, 1^2, 0^2, -1^2, 2^2] = [4, 1, 0, 1, 4]

4. Sum up the product of the x and y differences and the square of x differences:
sum_xy_diff = 47.6 - 3.8 + 0 - 6.2 + 40.4 = 78
sum_x_squared_diff = 4 + 1 + 0 + 1 + 4 = 10

5. Calculate the slope (m):
m = sum_xy_diff / sum_x_squared_diff = 78 / 10 = 7.8

6. Use the slope (m) to find the least squares estimate of y-intercept (b) using the equation b = y_mean - m * x_mean:
b = 73.8 - 7.8 * 4 = 73.8 - 31.2 = 42.6

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Answer:

the answer would be f(x)=-5x+41

Step-by-step explanation:

you start by calculating the change in y (or f(x)) and dividing that by the change in x or y2-y1/x2-x1. the answer you should get is the slope (mx). from there you calculate the y intercept (b) by simply finding when x=0. now you put it all together, y=mx+b or f(x)=-5x+41

Answer:

the answer is -25

Step-by-step explanation:

the answer is -25

Given

Cost of 3 shirts = $19.95

Answer

Cost of 3 shirts = $19.95

Cost of 1 shirt = 19.95/3 = $ 6.65

Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency using algebra.

First, let's calculate how much money Kathy will withdraw in pounds and euros. She wants to withdraw half of her $300$ US dollars in each currency, so that would be $150$ US dollars for each.

To find the amount in pounds, we can divide $150$ US dollars by the exchange rate of $1.64$ USD per pound:

Amount in pounds = $\frac{150}{1.64} \approx 91.46$ pounds.

To find the amount in euros, we can divide $150$ US dollars by the exchange rate of $1.32$ USD per euro:

Amount in euros = $\frac{150}{1.32} \approx 113.64$ euros.

Rounding both amounts to the nearest whole number, Kathy will have approximately $91$ pounds and $114$ euros.

To determine how many more euros than pounds she will have, we subtract the amount in pounds from the amount in euros:

$114$ euros - $91$ pounds = $23$ more euros than pounds.

Therefore, Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency.

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There are a total of 12 possible outcomes in the sample space.

The possible outcomes of Brittany wearing a skirt and a top can be determined by considering all the combinations of skirts and tops.

Skirts: Black, Violet, White, Red

Tops: Yellow, Pink, Green

The possible outcomes are as follows:

Black skirt and yellow top

Black skirt and pink top

Black skirt and green top

Violet skirt and yellow top

Violet skirt and pink top

Violet skirt and green top

White skirt and yellow top

White skirt and pink top

White skirt and green top

Red skirt and yellow top

Red skirt and pink top

Red skirt and green top

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A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

D. 4z^3

Step-by-step explanation:

First, you see what cubed is 64, which is 4, so you know it is either A or D, but it can not be A because it is not z to the power 5 but x to the power of 3

Hope this helps, if you want me to explain more, feel free to ask questions.

Have a good day! :)

Answer:

4 z^3

Step-by-step explanation:

( 64 z^9) ^ 1/3

Rewriting 64 as 4^3

( 4^3 z^9) ^ 1/3

We know that ( ab) ^c = a^c  * b^c

4^3 ^ 1/3 z^9  ^ 1/3

We know that a^ b^c = a^ ( b*c)

4^(3 * 1/3) z^ (9  * 1/3)

4 ^ ( 1)  z^ ( 3)

4 z^3

Answer:

a variable is isolated by using the many properties.

these are addition, subtraction, division, and multiplication

Step-by-step explanation:

hope this helps!

Answer:

87+10x

Step-by-step explanation:

7 + 10(x + 8)

7 + 10x+80

87+10x

I hope this helps :)