What is this expression in scientific notation

The earliest finish time for the activity 10-11(far right-hand side) is 23 if the earliest start time of activity 8-10 and activity -10 is 12 and 13 respectively.

The depicted graph represents the critical path method(CPM)

Given,

Earliest start time of 8-10 = 12

Earliest start time of 9-10 = 13

From the network, it is observed that at 10, two networks are connecting, we need to take the largest earliest finish time from both the activities as earliest start time for 10-11.

Earliest finish time = earliest start time + activity duration

Earliest finish time for 8-10 = 12+4=16

Earliest finish time for 9-10 = 13+2=15

From above two times, 8-10's earliest finish time is the greatest. So, consider 16 as earliest start time for 10-11.

Now,

Earliest finish time for 10-11= earliest start time + activity duration=16+7=23

Thus, the earliest finish time for 10-11 is 23.

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The speed of the particle at time t = 0 is 5 units per unit of time.

To find the speed of the particle at time t = 0, we need to calculate the magnitude of the velocity vector of the particle at that instant.

The velocity vector of the particle is the derivative of the position vector with respect to time:

v(t) = c'(t) = (-4sin(4t), 4cos(4t), 3)

Substituting t = 0 into the velocity vector, we get:

v(0) = (-4sin(0), 4cos(0), 3)

= (0, 4, 3)

Now, to find the speed of the particle at t = 0, we calculate the magnitude of the velocity vector:

|v(0)| = √(0^2 + 4^2 + 3^2)

= √(0 + 16 + 9)

= √25

= 5

The speed of a particle measures the rate at which it is moving along its path, regardless of the direction. In this case, the speed of the particle at t = 0 is 5 units per unit of time, indicating that it is moving with a constant speed along the helix.

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Answer:

104/173

Step-by-step explanation:

173 total

Africa= 37

Asia=17

15 in BOTH

173-69=104

104 mammals are NOT found in either

104/173

Answer:

Probability = Favorable outcomes / Total outcomes

=> (Total - (Africa + Asia + Both)) / Total

=> (173 - (37 + 17 + 15)) / 173

=> (173 - 69) / 173

=> 104 / 173

Therefore, the probability = 104 / 173

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Answer:

1 1/4

Step-by-step explanation:

5/4 = 1.25

As you can see 1 is the whole

1 divide by .25 = 4

Thus, 1 1/4

\(\frac{5}{4}=1\frac{1}{4}\)

~Learn with Lenvy~

1.25 is the quotient when 5 is divided by 4.

A division is a process of splitting a specific amount into equal parts.

In division, the dividend( the number being divided) is divided by the divisor (the number you are dividing by) to get the quotient (the result of the division).

In this case, the dividend is 5 and the divisor is 4.

So, 5 divided by 4 is equal to 1.25:

Five divided by four equal to one point two five.

5 ÷ 4 = 1.25

Hence, 1.25 is the quotient when 5 is divided by 4.

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Answer:

The area is 45 inches

Step-by-step explanation:

L×W=A

It may be helpful to take measurements at different points along each beach to account for any variations in erosion rates.

The erosion data measurements in the table show that Beach A experiences a higher rate of erosion than Beach B. Beach A loses approximately 5 feet of width per year while Beach B loses only 2 feet of width per year.

Based on these measurements, it can be concluded that the width of Beach A will decrease at a faster rate compared to Beach B. Therefore, the pattern shown by the erosion data measurements is that Beach A is more prone to erosion compared to Beach B.

To determine when the two beaches will have approximately the same width, we can use a simple calculation. If Beach A loses 5 feet per year and Beach B loses 2 feet per year, then the difference in width between the two beaches will decrease by 3 feet each year. Therefore, it will take approximately 10 years (30 feet divided by 3 feet per year) for the two beaches to have approximately the same width.

If these erosion rates remain constant, to get a better approximation of when the two beaches will have the same width, more measurements can be taken at regular intervals (e.g. every year). This will allow for a more accurate prediction of when the two beaches will have the same width. Additionally, it may be helpful to take measurements at different points along each beach to account for any variations in erosion rates.

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The work to empty a parabolic tank filled with water which can be seen as the rotation about the y-axis of the function is -ρgπ(a³ - b²(3a - 2b))/6.

The equation of parabola is y = x². Therefore x = √y. Let us assume the parabolic tank is of height (a-b) where a is the y-coordinate of the top of the tank and b is the y-coordinate of bottom of the tank.

The work done to empty the parabolic tank filled with water is the integral (summation) of the work done to remove a circular area strips of height dy from height y to b.

Work done = ∫dW

= ∫FΔy

= ∫ρgdVΔy

= ∫ρg(y - a)dV  

Volume of the circular area strip ,dV = πr²dy  

= πx²dy

= π(√y)²dy

= πydy

Total work done to empty the tank = ₐ∫ᵇρg(y - a)dV

= ₐ∫ᵇρgπy(y - a)dy

= ρgπ[y³/3 - ay²/2]ₐᵇ

= ρgπ(b³/3 - a³/3 - ab²/2 + a³/2)

= -ρgπ(a³ - b²(3a - 2b))/6

The work done is negative when emptying the tank.

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Answer:

[-3,5)

Step-by-step explanation:

Compound inequality

2x - 3 < 7

And

5 - x ≤ 8

The solution is the conjunction of the individual solutions because both conditions must be met.

From the first inequality we get:

2x < 7 + 3

2x < 10

x < 5

From the second inequality we get:

- x ≤ 8 - 5

- x ≤ 3

Multiplying by -1 and flipping the sign:

x ≥ -3

Thus the solution is the set of numbers that lie in the interval [-3,5)

The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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9514 1404 393

Answer:

  9 pastries per hour

Step-by-step explanation:

In the 7 hours after the first, the baker made 83 -20 = 63 more pastries. That rate is ...

  (63 pastries)/(7 hours) = 9 pastries per hour

_____

Additional comment

We have chosen to interpret the question as asking for the slope of a line on a graph of pastries vs. hours. Such a graph would show you the baker started with 11 pastries already made, so didn't actually make 20 in the first hour.

Given: A sphere with a radius of 6.891 cm.

Required: To determine the volume of the sphere.

Explanation: The volume of a sphere with radius r is given by the formula-

Substituting the value into the formula as-

Further solving gives the volume as-

Final Answer: The volume of the sphere is 1369.983 cubic centimeters (approx).

16

Step-by-step explanation:

The constant term would be 16.

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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A survey found that individuals that use a lot of illegal drugs are also much more likely to take a lot of multivitamins. These findings demonstrate that there is a positive correlation between the use of illegal drugs and the consumption of multivitamins.

The statement indicates that there is a positive correlation between the use of illegal drugs and the consumption of multivitamins based on the findings of a survey. A positive correlation means that as the use of illegal drugs increases, the consumption of multivitamins also tends to increase. There could be several reasons for this observed correlation:

Health-conscious behavior: Individuals who are concerned about their health and well-being may take multivitamins to compensate for any potential nutrient deficiencies caused by drug use.

Lifestyle factors: People who engage in risky behaviors, such as using illegal drugs, might also adopt other behaviors like taking multivitamins to counterbalance the negative effects of their lifestyle choices.

Awareness and information: It is possible that individuals who use illegal drugs are more aware of the importance of taking care of their health and are actively seeking ways to mitigate potential health risks associated with drug use, leading them to consume multivitamins.

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The solutions to the system of equations are given as follows:

(0, -4) and (2,0).

The number of solutions of the system of equations is given by the number of times which the two functions intersect.

The two intersection points are given as follows for this problem:

(0, -4) and (2,0).

Which are the solutions to the system of equations.

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Answer:

-3x+14≥3-2x

-3x+2x≥-14+3

-x≥-11

x≥11

8[2x/2-1/4]≤14

8[2x-1/4]≤14

16x-8/4≤14

16x-8≤56

16x≤56+8

16x≤64

x≤64/16

x≤4

Answer:

70, 85, 93, 100, 125, and 127

Explanation:

We want to create a data set with 6 different values whose mean is 100.

Let the sum of the 6 numbers = x

What this means is that the 6 numbers must add up to 600.

Let 5 numbers in the data set be:

• 70, 93, 100, 125, and 127

Add the 5 numbers up:

Subtract the sum from 600 to get the 6th number.

Thus, the 6 diffrent values are:

Step-by-step explanation:

using the slope formula, we can see that the slope is 0

Answer:

2762 in²

Step-by-step explanation:

The total surface area of a figure is the sum of the areas of its faces.

Area of rectangle= length ×breadth

Assuming that this is a closed box, the total surface area is the total area of its 6 rectangular faces.

Two rectangles have dimensions of 7 in. ×19 in., another two rectangles have dimensions of 48 in. ×7 in., and the last two rectangles have dimensions of 48 in. ×19 in.

Surface area of the figure

= 2(7)(19) +2(48)(7) +2(48)(19)

= 266 +672 +1824

= 2762 in²

The null hypothesis (H0) in this case would be that the proportion of clients who have high-risk stocks (p) is equal to or greater than 15%. The alternative hypothesis (Ha) would be that the proportion of clients who have high-risk stocks (p) is less than 15%.

To summarize:
Null hypothesis (H0): p >= 15%
Alternative hypothesis (Ha): p < 15%

The null hypothesis assumes that the proportion of clients with high-risk stocks is 15% or higher. This is the initial assumption that we are testing. The alternative hypothesis, on the other hand, suggests that the proportion is less than 15%.

By setting up these hypotheses, the brokerage firm can conduct statistical tests to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis. This analysis will help the firm make informed decisions about the proportion of clients with high-risk stocks in their portfolio.

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Answer:

These are confusing Beth , b/c you have to remember that they will add to 100%

Step-by-step explanation:

so

green = 3*  yellow

100% = green + yellow + 35% + 25%

100% = 3* yellow + yellow +60%

40% = 4* yellow

10% = yellow

30% = green

there are 14 purples in the bag , which is 35% of total

14/.35 = 40

there are a total of 40 pins

so

4    are yellow  (10% of 40  or 40* 0.1)

12 are green    (30% of 40  or 40*0.3)

14  are purple  (35% of 40 or 40*0.35)

10  are grey  (25% of 40  or 40*0.25 )

see?  : |

Answer: y = 2x/5 - 1

Explanation:

The equation of a line in the slope intercept form is expressed as

y = mx + c

where

m represents slope

c represents y intercept

The formula for calculating slope is expressed as

m = (y2 - y1)/(x2 - x1)

The given points are (0, -1) and (10, 3). thus,

x1 = 0, y1 = - 1

x2 = 10, y2 = 3

m = (3 - - 1)/(10 - 0) = (3 + 1)/10 = 4/10 = 2/5

By substituting m = 2/5 and c = - 1 into the slope intercept equation, the equation of the line is

y = 2x/5 - 1

Answer:

-9x^9y^5

Step-by-step explanation:

Do the multiply first:

-16x^9y^5+7x^9y^5

=x^9y^5(-16+7)

=-9x^9y^5

Answer:

-9x^9y^5

Step-by-step explanation:

this could be wrong since there was a lot of terms but oh well

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

Step-by-step explanation:

4(w +5) =3

→w+5=3/4

Answer: 6.25%

Explanation

Given

• 52 playing cards

• both cards are a diamond

Procedure

There are 13 cards of diamonds in a standard deck of cards. Thus our probability of getting one diamond is:

However, they are asking for two cards. Then:

Expressing as a whole percent:

The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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The radius of convergence, denoted as r, of the series ∑(n=1 to infinity) (-1)^n * x^n / 7^n is 7.

The radius of convergence can be determined using the ratio test, which states that for a power series ∑(n=0 to infinity) a_n * (x - c)^n, if the limit of the absolute value of (a_(n+1) / a_n) as n approaches infinity exists, then the series converges if the limit is less than 1 and diverges if the limit is greater than 1.

In this case, a_n = (-1)^n / 7^n, and we can apply the ratio test:

|(-1)^(n+1) * x^(n+1) / 7^(n+1)| / |(-1)^n * x^n / 7^n| = |x / 7|

As n approaches infinity, the absolute value of (x / 7) remains constant. Thus, for the series to converge, |x / 7| < 1, which implies that |x| < 7. Therefore, the radius of convergence is 7.

Note that the endpoints of the interval of convergence should be checked separately to determine if the series converges at those points.

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Answer: 1250 students

Step-by-step explanation:

20% + 40% + 20% = 80%

100% - 80% = 20%

If 250 is 20%, then it's just 250 x 5 = 1250

Based on the conversion done, the figure gotten is larger. Therefore, Carson cannot mail the package

From the information given, the package is 87 cm long.

Also, the shipping company only mails packages that are up to 35 in. long. Then, we convert inches to cm. This will be:

= 35 × 2.54 = 88.9 cm.

Therefore, he can't mail the package.

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