Forty five men can construct a road 210m long in 60 days. What length would be constructed by 72 men in 50 days assuming that all work at the same rate?

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:

Step-by-step explanation:

c circle

Answer:

hi i hope this helps

what's the x= -3,0,3 why does it have 3 numbers

Answer:

181/140

Step-by-step explanation:

3/4 = 15/20

2/5 = 8/20

15/20 + 8/20 = 23/20

23/20 = 161/140

1/7 = 20/140

161/140 + 20/140 = 181/140

No estoy completamente segura pero creo que es correcta

\(h(n) - g(n) = (n+2)-(2n + 1) = n + 2 - 2n -1 = -n + 1\)

Hope that helped!

\(\\ \rm\rightarrowtail h(n)-g(n)\)

\(\\ \rm\rightarrowtail n+2-2n-1\)

\(\\ \rm\rightarrowtail n-2n+2-1\)

\(\\ \rm\rightarrowtail 1-n\)

Answer:

8 maybe

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

i believe the answer is 50% i think i did this before and got it right? or maybe i'm mistaken. If right can i get brainliest? That would really help thx :)

Answer:

The derivatives of the given functions with respect to x are as follows:

1. y' = 9x^2

2. y' = -6x^2

3. y' = 12x^4 ln(x^3) + 6x^3 (2x^2 + 1)

4. y' = -3x^2 ln(x^a) - ax^(a-1)

Step-by-step explanation:

1. For the function y = 3x^3, we can apply the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1). Thus, taking the derivative with respect to x, we have y' = 3 * 3x^2 = 9x^2.

2. For the function y = -2x^3 + 1, the derivative of a constant (1 in this case) is zero, and the derivative of -2x^3 using the power rule is -6x^2. Therefore, the derivative of y is y' = -6x^2.

3. For the function y = ln(x^3)(2x^2 + 1), we can apply the product rule and the chain rule. The derivative of ln(x^3) is (1/x^3) * 3x^2 = 3/x. The derivative of (2x^2 + 1) is 4x. Applying the product rule, we get y' = 3/x * (2x^2 + 1) + ln(x^3) * 4x = 12x^4 ln(x^3) + 6x^3 (2x^2 + 1).

4. For the function y = (-x^3 - 3) ln(x^a), we need to use both the chain rule and the product rule. The derivative of (-x^3 - 3) is -3x^2, and the derivative of ln(x^a) is (1/x^a) * ax^(a-1) = a/x. Applying the product rule, we have y' = (-3x^2) * ln(x^a) + (-x^3 - 3) * a/x = -3x^2 ln(x^a) - ax^(a-1).

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Answer:

A. 1 in 6 jeans or 16.67% or \(\frac{1}{6}\)

B. 15

Step-by-step explanation:

B. \(\frac{1}{6} = \frac{x}{90}\)

If you have any questions feel free to ask in the comments

Answer: D.) The inequality sign always opens up to the smaller number

Answer:

im going to go with D

Answer:

x=8 y=24

Step-by-step explanation:

y=3x   x=y-16

x=3x-16

-3x  -3x

-2x=-16

  2     2

x=8

y=3(8)

y=24

Answer:

x = 8

y = 24

Step-by-step explanation:

y = 3x

x = y - 16

=> x = 3x - 16

=> 3x - 16 = x

=> 3x - x = 16

=> 2x = 16

=> x = 16/2

=> x = 8

y = 3x

=> y = 3(8)

=> y = 24

Answer:

z=12.25

Step-by-step explanation:

first we are going to find the hypotenus x

of the first part of the tiangle as shown in my diagram, using the Pythagoras rule-

hyp= x

opp= 15

adj=5

thus hypothenus²=opposite²+adjacent²

x²=15²+5²

x²=225+25

x²=250

the you use √ to find x

√x²=√250

x=15.81

step 2= to find z

hyp=20

opp:z

adj:15.81

hyp²=opp²+adj²

20²=z²+15.81²

400=z²+250

z²+250=400

z²=400-250

z²=150

√z²=√150

z=12.25

Answer:

z ≈ 12.2 cm

Step-by-step explanation:

using Pythagoras' identity in the 2 right triangles.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

consider the right triangle on the left

let the third side, the hypotenuse be x , then

x² = 5² + 15² = 25 + 225 = 250

consider the right triangle on the right , then

x² + z² = 20²

250 + z² = 400 ( subtract 250 from both sides )

z² = 150 ( take square root of both sides )

z = \(\sqrt{150}\) ≈ 12.2 cm ( to 1 decimal place )

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Answer:

B) 333.

Step-by-step explanation:

The discriminant of ax^2 + bx + c = 0

is b^2 - 4ac

So here we have:

(-9)^2 - 4*7*-9

= 81 + 252

= 333.

Answer:

i don't know but you can get sorcratic it scan  questions and tell you answers

Step-by-step explanation:

Answer:

y = a^x is an exponential function with an x intercept.

Step-by-step explanation:

y = a^x is the standard form of an exponential function.

Answer:

The answer to this is false.

Step-by-step explanation:

Xy is Xy and Yx is Yx.

So there you go.

Answer:

True

Step-by-step explanation:

Line XY will be the same as Line YX because they are both on the same line on a 1-dimensional figure

The width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm²

To calculate the area of a rectangle, we need to multiply its width by its height.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover the surface in a single coat.

Area = width x height

Substituting the given values, we get:

Area = 7.6 cm x 3.3 cm

Area = 25.08 cm²

Since the width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm² (rounded to one decimal place).

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Answer:

Step-by-step explanation:

80-31.16=48.84 (the amount of the money that Elsa spent)

48.84:8.14=6 (the amount of coffee that she bought)

The answer to the given question is C) 1-proportion z-interval.

Explanation: To estimate the true proportion (n) of college freshmen who are overwhelmed by managing their time, a 1-proportion z-interval is used. Since we have a sample proportion of 58% and a sample size of 462, we can calculate a confidence interval to estimate the range of the true proportion. With a 90% confidence level, the z-interval formula is applied using the standard normal distribution. The resulting interval will provide a range within which we are 90% confident that the true proportion falls. By calculating the margin of error and applying it to the sample proportion, we can interpret the confidence interval, providing valuable information about the population proportion of overwhelmed college freshmen. #spj11

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Answer:

The number is 72

Step-by-step explanation:

2/3*27 = 2*9 = 18

so 18 = 25%

25% = 1/4

so 1/4 = 18/?

so ? = 18*4 = 72

Answer:

x=72

Step-by-step explanation:

This is an easy equation.

2/3*27=25/100x

solve.

2/3 * 27 is 18

18=25/100x

Divide. (25/100 can be converted to 1/4

Divide 18 by 1/4x

x=72!

Cheers, I hope you can understand.

Answer:

85%

Step-by-step explanation:

The probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1. Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event.

A bowl contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles.  The total number of marbles in the bowl is,

\(n=5+2+10+3\\n=20\)

The number of white balls in the bowl is 3. Thus, the probability that Fiona pulls out a marble that is white, is,

\(P=\dfrac{3}{20}\)

The probability that Fiona pulls out a marble that is not white is,

\(P^{-1}=1-\dfrac{3}{20}\\P^{-1}=\dfrac{20-3}{20}\\P^{-1}=\dfrac{17}{20}\)

Thus, the probability that Fiona pulls out a marble that is not white from a  bowl which contains 5 blue marbles, 2 yellow marbles, 10 black marbles, and 3 white marbles is 17/20.

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The probability of picking a 7 is

The sample space symbolically represents all conceivable outcomes of an experiment or arbitrary trial and can be represented by the letter "S".

The sample space consists of four cards: 6, 7, 8, and 9.

S = 4

Since there is only one card with a value of 7, the probability of picking a 7 is 1 out of 4 or 1/4. Therefore, P(7) = 1/4.

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Answer is C) y = 7x

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Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

0.06 liters

Step-by-step explanation:

acid concentration of 65% means that it of 100 units of that solution 65 are acid, and the remaining 35 are water.

so, 100 units are 0.2 liters in this example.

that means that 65/100 × 0.2 = 0.13 liters are acid.

35/100 × 0.2 = 0.07 liters are water

we get a 50% concentration, when we have the same amount of water and acid in the solution (acid is only half of 50% of the solution).

the account of acid remains the same, as we are only adding water.

so, how much water do we need to get from 0.07 liters to 0.13 liters (the same as the already present acid) ?

0.13 - 0.07 = 0.06 liters

Answer:

d) 3

Step-by-step explanation:

7x+4=25

7x=21

X=3

Answer: D. 3

Step-by-step explanation:

Given

7x+4=25

Subtract 4 on both sides

7x+4-4=25-4

7x=21

Divide 7 on both sides

7x/7=21/7

x=3

Hope this helps!! :)

Please let me know if you have any questions

The time study analyst should account for at least 55 observations in order to calculate the mean time per item with a 95.5% confidence level and a 0.4 minute margin of error.

We can use the sample size calculation formula in a confidence interval to get the number of observations required for a time study with the specified parameters:

\(n = (Z * \sigma / E)^2\)

Where:

n = sample size

Z = The target confidence level's Z-score (95.5% translates to roughly 1.96)

σ = procedure standard variation (1.5 minutes per piece)

E = margin of error (0.4 minutes)

Plugging in the values, we can calculate the sample size:

\(n = (1.96 * 1.5 / 0.4)^2\)

\(n = (2.94 / 0.4)^2\)

\(n = 7.35^2\)

n ≈ 54.02

We round up the sample size to the next whole number because we can't have a portion of an observation:

n = 55

Therefore, the time study analyst should prepare for at least 55 observations to estimate the mean time per item with a margin of error of 0.4 minutes and a confidence level of 95.5%.

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Work Shown:

x^2 - 7x = -12

x^2 - 7x + 12 = 0

(x - 3)(x - 4) = 0 ... see note below

x - 3 = 0 or x - 4 = 0

x = 3 or x = 4

Note: we're looking for two numbers that multiply to 12 and add to -7. Those two numbers are -3 and -4, so that's where the factorization (x-3)(x-4) comes in. After this step, you set each factor equal to zero and solve for x.

Answer:

x=3  x=4

Step-by-step explanation:

x^2 − 7x = −12

Add 12 to each side

x^2 - 7x +12 =0

Factor

What 2 numbers multiply to 12 and add to -7

-3*-4 = 12

-3+-4 = -7

(x-3)(x-4) =0

Using the zero product property

x-3 =0   x-4 =0

x=3  x=4

The angle of reflection for the ray leaving mirror 2 will be 41 degrees, as this is equal to the angle of incidence for the ray striking mirror 2.

The angle of incidence is the angle between the incoming ray and the surface of the mirror, and the angle of reflection is the angle between the reflected ray and the surface of the mirror.

In the given scenario, a ray of light strikes mirror 1 with an angle of incidence of 41 degrees.

The angle of reflection can be calculated using the law of reflection, which states that the angle of incidence is equal to the angle of reflection.

Therefore, the angle of reflection of the ray when it leaves mirror 1 will be 41 degrees.

However, the ray of light continues its journey and strikes mirror 2.

When this happens, the angle of incidence is the angle between the reflected ray from mirror 1 and the surface of mirror 2.

The angle of reflection for the ray leaving mirror 2 can be calculated using the same law of reflection.

The angle of reflection will be equal to the angle of incidence, which is 41 degrees.

The angle of reflection is a crucial concept in understanding the reflection of light and is used in various applications such as mirrors, prisms, and lenses.

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