How do you write 0.25 in scientific notation?

Answer:

cosx

Step-by-step explanation:

using the identity

• sin² = 1 - cos²x

cos²x + cosx - 1 + sin²x

= cos²x + cosx - 1 + 1 - cos²x ← collect like terms

= cos x

Answer:

I'll do the dilation for the first point and you will see the answer (please verify the second point)

Step-by-step explanation:

The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.

so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.

so the dilated point for (-4,-4) is (-14, -14)

Please verify by computing the dilated point for (-6,4)

Alexa would have to pay a total of $75 if she goes on 10 rides at the amusement park. She would have to pay 35 + 4n if she goes on r rides.

If Alexa goes on 10 rides at the amusement park, she would have to pay:

35 (price of admission) + 10 * 4 (price of 10 rides)

= $35 + $40

= $75

If Alexa decides to go on 'n' rides at the amusement park, the total cost for her would be:

35 (price of admission) + n * 4 (price of n rides)

= $35 + $4n

To find out how many rides does Alexa need to go on to keep her total cost under $75, we can set up the inequality:

35 + 4n < 75

Subtracting 35 from both sides, we get:

4n < 40

Dividing by 4 on both sides, we get:

n < 10

Therefore, Alexa can go on 9 rides or less to keep her total cost under $75.

In general, the total cost that Alexa would need to pay for admission and 'n' rides at the amusement park is given by the function:

C(n) = 35 + 4n

where n is the number of rides, and C(n) is the total cost that Alexa would need to pay.

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a) Four-digit strings with 10⁴ characters are available.

b) A string that finishes in an odd number has 10 options for the first three digits and 5 options for the last digit.

c) The fourth digit has nine alternatives.

Given,

We have to find the number of strings of four decimal digits for the following conditions;

a) Do not use the same numeral more than once.

There are 10⁴ strings with four decimal digits.

We have 10 options for the first digit, 9 options for the second digit, 8 options for the third digit, and 7 options for the fourth digit when creating a string with 4 different digits. We deduce from the product rule that there are 10 9 8 7 = 5040 four decimal digits with no duplicate digits.

b) End with an odd digit

There are 10 choices (ranging from 0 to 1, 2,..., 9) for the first three digits of a string that ends in an odd number, and 5 possibilities (ranging from 1, 3, 5, 7,.., 9) for the last digit. According to the product rule, there are 5000 strings that terminate in an even number, or 10 × 10 × 10 × 5.

c) Have exactly three digits that are 8

There is one non-8 digit in the 4-decimal string, which includes exactly 3 digits that are 8. Therefore, there are 9 options for the fourth digit (ranging from 0 through 1, 2, 3, 4, 5, 6, and 9). The non-digit may appear in the string at positions 1, 2, 3, or 4. The sum rule leads us to the conclusion that there are 36 four decimal digits with exactly three 8s, which equals 9 + 9 + 9 + 9 = 36.

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Question is incomplete. Completed question is given below;

How many strings of four decimal digits

a) Do not contain the same digit twice

b) End with an odd digit?

c) Have exactly three digits that are 8

The least number of cables that the managers need to install to achieve their objective is 31 cables.

What is a network?

A network refers to the linking of two or more devices to allow them to exchange information. It is possible to share resources and services such as printers, modems, files, and applications in this manner. A network can be as basic as a few computers linked together to exchange data, or as complex as a huge number of servers, computers, and users distributed throughout the world. It may be restricted to a single building or expanded over large geographic areas. Wireless networks use radio waves to connect devices instead of cables

In this scenario, a business has 32 employees, each with his or her own desk computer, all working in the same office. The managers want to network the computers. They need to install cables between individual computers so that every computer is linked into the network. Because of the way the office is laid out, it is not convenient to simply connect all the computers in one long line.

So, we have to determine the least number of cables the managers need to install to achieve their objective. In order to accomplish this, we can use the formula: n(n-1)/2

Here, n is the number of computers i.e.

32.n(n-1)/2=32(32-1)/2=16(31)=496

Therefore, the least number of cables the managers need to install to achieve their objective is 31 cables.

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To achieve their objective, the managers need to install six cables between individual computers. Here's how you can arrive at this answer:Given that the office has 32 employees and the managers want to network the computers.

The least number of cables the managers need to install to achieve their objective is needed to be calculated. The office is not designed in a way to connect all the computers in one long line so they need to install cables between individual computers to link every computer into the network.In this case, we can create a simple diagram of the office with the computers and the links. So, let's represent each computer by a point and then connect them by the cables.For the first computer, we can install a cable to connect it to the second computer. This will take one cable. Next, the third computer can be connected to the fourth computer through a second cable. Similarly, the fifth computer can be connected to the sixth computer through a third cable.Now, we have three sets of two computers each that are connected. Next, we can connect these sets of computers with each other. The first two computers can be connected to the second two computers through a fourth cable. Similarly, the second two computers can be connected to the third two computers through a fifth cable.Finally, we have three sets of four computers each that are connected. We can connect these sets to each other through a sixth cable. This will create a network where all the computers are connected to each other. Therefore, the least number of cables the managers need to install to achieve their objective is six.

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Answer:

good for Alex, she's got 100 more coins

Answer:

Are you asking how many coins she earned from each gym or-..? 10 gym do be crazy tho

The statement "dispersion models are selected based on the phase of the material being modeled in a release scenario" is true as Different dispersion models are needed for different phases (gas, liquid, solid) due to differences in behavior and transport mechanisms.

Dispersion models are used to predict the spread of pollutants, and they depend on the physical and chemical properties of the material being released.

Generally, different models are used for each phase of the material, such as the Gaussian plume model for gases, the plume rise model for heated gases, and the particle dispersion model for particles.

Each of these models is based on different characteristics and equations which allow for the most accurate prediction of the dispersion of pollutants.

For example, the Gaussian plume model considers the wind velocity, turbulence, and buoyancy of the released material, whereas the plume rise model considers the momentum, thermal expansion, and buoyancy of the released material.

Therefore, dispersion models are selected based on the phase of the material being modeled in a release scenario.

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Answer:

DO you go to a connexus school? I do and i have this same project im trying to find answers to!

Step-by-step explanation:

For the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

It is defined as a three-dimensional space enclosed by an object or thing.

For the first cereal box:

Volume = L×W×H

Here L = 7.5 in, W = 2 in, and H = 12 in

Volume = 7.5×2×12 = 180 cubic inches

Surface area = 2(L×B+B×H+H×L)

= 2(7.5×2+2×12+12×7.5)

= 2(15+24+90)

= 258 square inches

Cost for this cereal box = 258×0.05 = $12.9

For the second cereal box:

\(\rm Volume = \frac{1}{3} bh\)

b is the area and h, is the height of the pyramid.

b = 8×6 = 48 square inches, h = 12 inches

\(\rm Volume = \frac{1}{3} \times48\times12\)

Volume = 192 cubic inches

\(\rm Surface \ area = b+\frac{1}{2} ps\)

p is the perimeter of the base = 2(8+6) = 28 in

Slant height s = 12.6 in

\(\rm Surface \ area = 48+\frac{1}{2} (28)(12.6)\) = 224.4 square inches

Cost of this cereal box = 224.2×0.05 = $11.22

For the third box:

Volume = πr²h

r = 2.5 in and h = 12 in

Volume = π(2.5)²(12) = 235.61 cubic inches

Surface area = 2πr(h+r) = 2π(2.5)(12+2.5) = 227.76 square inches

Cost of this cereal box = 227.76×0.05 = $11.38

Thus, for the first box the volume, surface area, and cost of materials are 180 cubic inches, 258 square inches, and $12.9, for the second box 192 cubic inches, 224.4 square inches, and $11.22 for the third box 235.61 cubic inches, 227.76 square inches, and $11.38.

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Answer: (250,50) i hope this helps lol

Answer:

250,50

Step-by-step explanation:

Just did the Quick check, np

This question is vague and has no true answer. You could consider a caveman counting rocks, Pythagoras applying his theorem, or Newton impacting physics.

The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.

The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:

First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:

C(52,2) = 52! / (2! * (52-2)!) = 1,326

Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.

There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.

The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:

P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.

Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.

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The sample variance, denoted by S^2, is an unbiased estimator of the population variance σ^2. However, S^2 cannot attain the Cramer-Rao lower bound.

To show that S^2 is an unbiased estimator of σ^2, we need to demonstrate that its expected value is equal to σ^2. By definition, S^2 is calculated as the sum of squared deviations from the sample mean, divided by (n-1), where n is the sample size. Taking the expected value of S^2, we can show that it equals σ^2.

However, S^2 cannot attain the Cramer-Rao lower bound, which represents the minimum achievable variance for an unbiased estimator. The reason is that S^2 is based on the sample mean, which is itself a random variable and introduces additional variability. Therefore, S^2 cannot achieve the minimum variance bound set by the Cramer-Rao inequality.

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Answer:3/2

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: 137.8 cm

Step-by-step explanation:

Using Pythagorean's Theorem, a² + b² = c², we can find the length of one of the braces.

Plug in your values:

115² + 76² = c²

13225 + 5776 = c²

19001 = c²

√19001 = c

c ≈ 137.8 cm

The braces are 137.8 cm long.

Hope this helps!

The value of lim f(x) and lim f(x) for the given function and value of c is:

lim (x→-12) f(x) does not exist.

lim (x→-12+) f(x) does not exist.

To find the limit of f(x) as x approaches -12, we evaluate the function at x = -12.

f(x) = (x + 14) / |x + 12|

Substituting x = -12 into the function:

f(-12) = (-12 + 14) / |-12 + 12|

       = 2 / |0|

Since the absolute value of 0 is 0, we have:

f(-12) = 2 / 0

When the denominator is 0, the limit does not exist. Therefore, the limit of f(x) as x approaches -12 does not exist.

Next, let's find the limit of f(x) as x approaches -12 from the positive side (right-hand limit).

lim (x→-12+) (x + 14) / |x + 12|

As x approaches -12 from the positive side, the expression inside the absolute value |x + 12| becomes x + 12.

lim (x→-12+) (x + 14) / (x + 12)

Now we can substitute x = -12 into the expression:

lim (x→-12+) (-12 + 14) / (-12 + 12)

2 / 0

Again, when the denominator is 0, the limit does not exist. Therefore, the right-hand limit of f(x) as x approaches -12 does not exist.

In summary:

lim (x→-12) f(x) does not exist.

lim (x→-12+) f(x) does not exist.

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The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.


The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.

To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.

The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.

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Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

\(x_1=12, y_1=10\\x_2=-2, y_2=r\)

Putting the values in slope of line formula,

\(-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\\)

Multiplying both sides by -14

\(-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66\)

The value of r is 66

Hence,

The missing value in the ordered pair is 66

Answer:

The answer is 420.

Step-by-step explanation:

The multiple of 70 lies between 300-500 has three possibilities such as 350,420,490

Answer:

420 hope this helps

Step-by-step explanation:

Ten years ago, government records showed that 17% of Elmwood's population had no health insurance. Comparing this figure with the current confidence interval, we cannot conclusively determine that the percentage of people without insurance has increased.

This is because the lower limit of the confidence interval (17.2%) is close to the percentage from ten years ago (17%). The true percentage could be within the range of the margin of error, indicating a possible increase or no significant change in the percentage of uninsured individuals in Elmwood.

To find a confidence interval for the true percentage of the Elmwood population without health insurance this year, we consider the given data: a poll indicates that 21.0% are without insurance, and the margin of error is 3.8 percentage points.
To calculate the confidence interval, we subtract and add the margin of error from the poll percentage. The lower limit of the confidence interval is 21.0% - 3.8% = 17.2%, while the upper limit is 21.0% + 3.8% = 24.8%. Therefore, the confidence interval is 17.2% to 24.8%.

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Answer:

add 54 to the numerator and 61 to the denominator because after you add it the fraction, it should be 60/90: simplified to 2/3 if you divide the numerator and denominator by 30.

The number that must be added to the numerator and denominator is 40.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction = 6/29

The new fraction = 2/3

Now,

(6 + x)/(29 + x) = 2/3

3(6 + x) = 2(29 + x)

18 + 3x = 58 + 2x

3x - 2x = 58 - 18

x = 40

Thus,

The number x is 40.

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Answer:

Prime Factors of 72: 2, 3

Step-by-step explanation:

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer: newtons

Step-by-step explanation:

Answer:

I believe it is Newtons :)

Step-by-step explanation:

147.5 times 14 = 2065

And they want an estimate so just round the 147.5 to 150.0 and the 14 to a 15 and your answer is 2250

Estimate : 2250

Actual answer is : 2065

If you have any questions comment under this post

Have a wonderful day<3

Answer:

Each person at least has to buy 3 tickets.

Step-by-step explanation:

Because they want to make at least $250 from the sales. if there are 75 people, then 75 × =$225.So among 75, there some may children. there are children if there are 25 children, at least they have to buy 1 ticket to meet that sales goal

Answer:

  3 tickets

Step-by-step explanation:

An inequality can be written to describe the amount of money raised when each person buys n tickets. We want that amount to be more than $250.

__

For 75n tickets sold, the revenue generated is (75n)(1.50). So, we want ...

  (75n)(1.50) ≥ 250

  112.5n ≥ 250 . . . . . . . simplify

  n ≥ 250/112.5 . . . . divide by the coefficient of n

  n ≥ 2 2/9 . . . . . simplify

The smallest integer greater than 2 2/9 is 3.

Each person needs to buy 3 tickets to meet the fundraising goal.

The value of B using Pythagoras theorem is 20 cm.

Pythagoras' theorem states that the square of the hypotenuse in a right- angle triangle is equal to the sum of the square of the two other sides.

Formula:

Make B the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, The value of B using Pythagoras theorem is 20 cm.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer:

ysh what do you need?

Step-by-step explanation:

Answer:

1. correct (conversion = x1000)

2. correct (conversion = [divided by] 1000)

3. wrong (conversion should be x100)

4. wrong (conversion should be x1000)

5. correct (conversion = x10)

Answer:

option 1, 2 and 5 are correct

Step-by-step explanation:

1 Km = 1000 m

1) 1.25 km = 1.25 * 1000 = 1250 m

2) 0.345 km = 0.345 *1000 = 345 m

5)   1.7m cm = 1.7 * 10 = 17 mm

Answer:173/10

Step-by-step explanation:

Answer:

x= 17.3

Step-by-step explanation:

-10(x-17) = -3                 equation

-10x + 170 = -3             multiply -10 to everything in parenthesis

-10x = -173                   subtract 170 from both sides of the equation

\(\frac{-10x}{-10} =\frac{-173}{-10}\)                  divide -10 from both sides

x= 17.3