Pls answer: -4y - 4 + (-3)

the bacterial cell is 6.25*10 times smaller than the amoeba cell.

To find how many times smaller is the bacterial cell than the amoeba cell, we need to take the quotient between the amoeba cell's length and the  bacterial cell's length

We know that:

bacterial cell's length = 4*10^(-6) m

amoebas cell's length. = 2.5*10^(-4) m

The quotient gives:

Q = ( 2.5*10^(-4) m)/(4*10^(-6) m) = (2.5/4)*(10^(-4)*10^6) = 0.625*10^(-4 + 6)

Q = 0.625*10^2

Now we want this in scientific notation, so we need to have a digit in the left fo the decimal point, so we can rewrite this as:

Q = 0.625*10^2 = 6.25*10^1 = 6.25*10

Then the bacterial cell is 6.25*10 times smaller than the amoeba cell.

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Given below is the price list of two local ice cream shops: Tasty Cream is charging an $8 fee for their promotional card and $1.50 per cone Ice Castle is charging a $3 fee for their promotional card and $2.00 per cone.

The correct option is C: Ice castle because they will charge you $1. 50 less than Tasty Cream for 7 cones

Now, if you want to buy 7 ice cream cones for you and your friends, then the total cost at Tasty Cream would be:

Cost of 7 cones = 7 × $1.50

= $10.50

Total cost = Cost of 7 cones + promotional card

= $10.50 + $8

= $18.50

Now, the total cost at Ice Castle would be:

Cost of 7 cones = 7 × $2.00

= $14.00

Total cost = Cost of 7 cones + promotional card

= $14.00 + $3.00

= $17.00

Thus, we can conclude that you should choose Ice Castle because they will charge you $1.50 less than Tasty Cream for 7 cones.

Hence, option (C) is the correct answer.

Note: Always remember that when comparing the prices of two shops, we must consider the total cost, not just the price per cone.

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a. The probability that the selected student will be female According to the given problem, the total number of associate degrees awarded by US community colleges was 788,325 and 488,142 of these degrees were awarded to women.

Hence, the probability that a selected student will be female is:  P(Female) = Number of females awarded associate degree / Total number of associate degrees awarded= 488,142 / 788,325 `= 0.619 (rounded to three decimal places) Thus, the probability that a selected student will be female is 0.619.b. The probability that the selected student will be male Since the total number of associate degrees awarded is 788,325, we can find the probability that a selected student will be male by subtracting the probability that a selected student will be female from 1 (because there are only two genders).Therefore, `P(Male) = 1 - P(Female) = 1 - 0.619 = 0.381 (rounded to three decimal places)`The main answer to part (a) is 0.619 while the main answer to part (b) is 0.381.The problem gives the total number of associate degrees awarded by US community colleges in a certain academic year. A total of 488,142 of these degrees were awarded to women. Using this information, we can find the probability that a selected student will be female (part a) and the probability that a selected student will be male (part b).

The probability that a selected student will be female is 0.619 while the probability that a selected student will be male is 0.381.

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Answer:

f(2) = 729

Step-by-step explanation:

f(x) = 3^(x + 4)

Let x =2

f(2) = 3^(2 + 4)

f(2) = 3^(6)

f(2) = 729

Answer:

X=15

Step-by-step explanation:

A +B + C = 180

2x +4x+ 6x = 180

12x =180

X= 15

The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Tomando la suma de las alturas, veremos que la colmena está a 3.5 metros del suelo.

La distancia del suelo será igual a la suma entre la altura del oso, que es 2.3 metros, y la altura de la roca, que es de 12 decimetros.

Recordar:

1dm = 1*10^(-1) m

Entonces podemos hacer el cambio de unidades:

12dm = 12*10^(-1) m = 1.2 m

Así, la suma de las alturas es:

1.2m + 2.3m = 3.5m

Es decir, la colmena está a 3.5 metros del suelo.

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Answer:

X

=

27

Step-by-step explanation:

Complete Question

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Part A

Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.

Part B

The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?

Answer:

 \(p=4A-140\)

\(T =or 62sec\)

Step-by-step explanation:

From the question we are told that

The width of the field is seventy yards shorter than the length.

a) Generally the equation for width and length is given as

         \(B=x-70\)

Mathematically  in finding the perimeter \(p\) around the field

         \(p=2(A+B)\)

         \(p=2(2A-70)\)

         \(p=4A-140\)

b)Generally\(A=120\)

Mathematically

         \(p= 4(120) -140\)

         \(p=480-140\)

         \(p= 340\)

Therefore

Yards ran by individual athlete\(Y\)

          \(340*5=1700\\Y=1700\)

Time elapsed in a lap T

    \(T=\frac{340}{1700} *6\\T=1.2min\)

    \(T =or \hspace 662sec\)

Answer:

0.8686

Step-by-step explanation:

= 1 - (area under -1.12)

= 1 - 0.1314 = 0.8686

To find the number of three-letter initials with none of the letters repeated, we need to consider the number of choices for each position in the initials.

To determine the number of three-letter initials with none of the letters repeated, we can analyze each position in the initials. For the first letter, we have 26 choices since there are 26 letters in the English alphabet.

After selecting the first letter, for the second letter, we have 25 choices remaining since we cannot repeat the letter used in the first position. Similarly, for the third letter, we have 24 choices remaining since we cannot repeat either of the previous letters.

Therefore, the total number of three-letter initials with none of the letters repeated can be found by multiplying the number of choices for each position: 26 * 25 * 24 = 15,600. Hence, there are 15,600 different three-letter initials that people can have if none of the letters are repeated.

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Answer:

first one ( x ≥ -12)

Step-by-step explanation:

when you divide by -12 for both sides, the inequality reverses as the value is negative.

First one is the answer I think so

You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

The maximum length possible for the blanket is 60 inches.

Given that:-

w ≥ 0.5l

2l + 2w ≤ 180

Where, w represents the width of the blanket and,

l represents the length of the blanket

As, the blanket is rectangular in shape,

2l + 2w represents the perimeter of the blanket.

We have,

w ≥ 0.5l

Multiplying the inequality by 2, we get,

2w ≥ l

We know that length of the blanket will always be positive, hence twice the length of the blanket will also be positive.

Hence, we can write,

2l + 2w ≥ l + 2l

2l + 2w ≥ 3l

We have,

2l + 2w ≤ 180

Hence, we can write,

3l ≤ 2l + 2w ≤ 180

From this, we can write,

3l ≤ 180

l ≤  180/3

l ≤ 60

Hence, the maximum value of l is 60 inches.

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Answer:

C

Step-by-step explanation:

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches. The system of inequalities shown represents the width of the blanket in inches, w, and the length in inches, l.

       w ≥ 0.5l

2l + 2w ≤ 180

What is the maximum length possible for her blanket?

30 inches

45 inches

60 inches

90 inches                                                                                    Edge 2022

The required function is found to be f(x) = 4sin(x) + 7cos(x) - 4.

We have been given

f'(x)=4cosx−7sinx

and

f(0)=3

we need to find f(x).

Now, since the derivative of f(x) with respect to x is given by f′(x),

we need to obtain the function f(x) by integrating f′(x) with respect to x.

Thus,

f(x) = ∫f′(x)dx

f(x) = ∫(4cosx − 7sinx)dx

= 4sin x + 7cos x + C

Where C is a constant of integration that we need to determine using the condition that f(0) = 3.

Thus,

3 = f(0)

= 4sin(0) + 7cos(0) + C

= 7 + C.

So, C = -4

Thus, f(x) = 4sin(x) + 7cos(x) - 4, is the required function.

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Based on the image, the figure appears to be a cube.

Faces: 6 Edges: 12 Vertices: 8

To find the number of edges in a cube, you need to count the number of line segments that make up the corners and sides of the cube. A cube has 12 edges.

The number of vertices, edges, and faces can vary greatly for different types of three-dimensional shapes. For example, a pyramid has one base and several triangular faces that meet at a single vertex, while a sphere has no faces or edges but has an infinite number of points on its surface.

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Given

\( \text{Length of the tree= 25 feet} \\ \text{Angle of Elevation= 30°}\)

\( \text{Height Of The Tree}\)

\( \text{Let The Height of the Tree be ‘x’}\)

We Know:-

\( \tan\theta = \frac{ \text{perpendicular}}{ \text{base} }\)

\( \tan \theta = \frac{ \text{height of the tree}}{ \text{length of the base}} \\ \\ \implies \tan30 = \frac{ \text{x}}{25} \\ \\ \implies \text{x }= 25 \times \tan30 \\ \\ \implies \text{x }= 25 \times 0.577 \\ \\ \implies \text{x} = 14.425 \\ \\ \implies \text{x} = 14.43\)

\( \therefore \text{height of the tree(\text{x})} = \red{14.43 \: \text{feet}}\)

Option C is the correct answer

Answer:

The answer is 4x

Step-by-step explanation: This is because all of the domains are usually in the dominant variable which in most cases is x

Answer:

Step-by-step explanation:

This one has 2 different parts, first we have to find out the speed to drive 660 miles in 12 hours.  Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.Do the same thing 495/55.  That will give you your final answer.495/55= 9. It will take him 9 hours to drive 495 miles at a rate of 55 mph.

x is 6.215 km and the total time taken for the whole journey is 3.61 hours.

Boat's speed in still water = u = 4 km/h

Speed of stream = v

Distance between A and B = 5 km

Upstream speed = u - v

                            = 4 - v

Time taken = \(T_{1}\) = \(\frac{5}{4-v}\)

Downstream speed = x = u + v

                                       = 4 + v

Time taken = \(T_{2}\) = \(\frac{5}{4+v}\)

According to question,

      \(T_{1}= T_{2}+2\)

    \(\frac{5}{4-v}=\frac{5}{4+v}+2\)

    \(\frac{5}{4-v}=\frac{5+2(4+v)}{4+v}\)

    \(\frac{5}{4-v}=\frac{5+8+2v}{4+v}\)

5(4+v) = (13+2v)(4-v)

20+2v = -2\(v^{2}\)-5v+52

\(2v^{2}+10v-32 = 0\)

\(v^{2}+5v-16 = 0\)

v = 2.215 or -7.215

Speed can't be negative.

Therefore, v = 2.215

Upstream speed = 4 - 2.215

                            = 1.785 km/h

Downstream speed = 4 + 2.215

                                 = 6.215 km/h

\(T_{2}\) = 5/6.215

    = 0.805 h

\(T_{1}\) = 2 + 0.805

   = 2.805 h

Total time = 2.805 + 0.805

                 = 3.61 h

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Statistical analysis or data mining techniques are used to identify patterns in data, including outliers, and to uncover the underlying structure in order to understand relationships between variables.

Statistical analysis involves various techniques such as descriptive statistics, hypothesis testing, and regression analysis, among others. Descriptive statistics provide summary measures such as mean, median, and standard deviation to describe the central tendency and dispersion of the data. Hypothesis testing helps determine if there are significant differences or relationships between variables. Regression analysis explores the relationships between a dependent variable and one or more independent variables. These techniques aid in identifying patterns and understanding the underlying structure of the data.

Outliers, which are observations that significantly deviate from the majority of the data, can be detected using various methods. One common approach is to calculate the z-score for each data point, which measures how many standard deviations an observation is away from the mean. Observations with z-scores exceeding a certain threshold (e.g., 2 or 3) can be considered outliers. Other techniques, such as box plots or the interquartile range, can also be used to identify outliers.

By employing statistical analysis and data mining techniques, patterns in data can be identified, including outliers. These methods provide insights into the underlying structure of the data and help uncover relationships between variables. Understanding these patterns and relationships is crucial for making informed decisions and drawing meaningful conclusions from the data.

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Answer:

  A, B, E are irrational

Step-by-step explanation:

You want to know which expressions result in an irrational number from the given expressions involving rational and irrational numbers.

  M + N = √2 +√5 . . . . irrational

  MN = (√2)(√5) = 10 . . . . irrational

  S + T = 2 + 5 = 7 . . . . rational

  ST = 2·5 = 10 . . . . rational

  N + T = √5 + 5 . . . . irrational

  N² = (√5)(√5) = 5 . . . . rational

__

Additional comment

When in doubt, you can use your calculator to evaluate these expressions. If the decimal fraction uses all available digits, the number is likely irrational.

If the number cannot be expressed exactly without using symbols (√, ∛, π, e), then it is irrational. The attached calculator display shows this nicely.

Answer:

Dan has better gas mileage

Step-by-step explanation:

The mileage of Dan is 25 miles per gallon

In case of John, mileage is represents by equation

\(y=20x\)

where y is the gallons and x is miles

Here

\(\frac{x}{y}\) represents miles per gallon

Hence, mileage in case of john i.e miles per gallon

\(\frac{x}{y} = \frac{1}{20}\)

Dan has better gas mileage

To evaluate the first-order partial derivatives of f(x, y) = x³y³ - 4x + 5xy, differentiate the function with respect to each variable treating the other as a constant, resulting in ∂f/∂x = 3x²y³ - 4 + 5y and ∂f/∂y = 3x³y² + 5x.

To evaluate the first-order partial derivatives of the function f(x, y) = x³y³ - 4x + 5xy, we differentiate the function with respect to each variable separately while treating the other variable as a constant. The partial derivatives are:

∂f/∂x = 3x²y³ - 4 + 5y

∂f/∂y = 3x³y² + 5x

These partial derivatives give the rates of change of the function with respect to each variable individually.

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Answer:

-5/6

Step-by-step explanation:

1. Label X1 AND Y1 and X2 AND Y2  (9(x1),5(x2))  (21(x2),-5(y2))

2.  Use this formula  \(\frac{y2-y1}{x2-x1}\)=slope

3. Plug the numbers into the formula \(\frac{-5-5}{21-9}\)\(= - \frac{10}{12}\)

4. Find the simplest form.

\(slope= - \frac{5}{6}\)

The forecast for the next period using the following weights: 0.3, 2, 0.5 is Option d. 421.

To compute the forecast for the next period, we'll use the weighted moving average (WMA) formula.WMA formula:

WMA = W1Yt-1 + W2Yt-2 + ... + WnYt-n

Where, WMA is the weighted moving average

W1, W2, ..., Wn are the weights (must sum to 1)

Yt-n is the demand in the n-th period before the current period

As we know Month 1 – 381, Month 2-366, and Month 3 - 348.

Weights: 0.3, 2, 0.5

We'll compute the forecast for the next period (month 4) using the data:

WMA = W1Yt-1 + W2Yt-2 + W3Yt-3WMA

= 0.3(381) + 2(366) + 0.5(348)WMA

= 114.3 + 732 + 174WMA

= 1020.3

Therefore, the forecast for the next period is 1020.3, which rounds to 421. Hence, option d is correct.

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After n years Alex will earn salary which can be expressed as $(1 + 0.03)^n * 35,000.

The total amount Alex has earned in his first year of his career is $35,000.

In the second year of his career, he gets a 3% raise, which is an increase of 3/100 * $35,000 = $1,050.

So his salary for the second year is $35,000 + $1,050 = $36,050.

In the third year of his career, he again gets a 3% raise, which is 3/100 * $36,050 = $1,081.50

So his salary for the third year is $36,050 + $1,081.50 = $37,131.50

We can see that for each year, his salary is increasing by a fixed percentage of the previous year's salary.

This pattern can be represented by the expression:

(1 + 0.03)^n * 35,000

Where n is the number of years since the start of his career. This expression gives the total amount Alex has earned in his first n years of his career.

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We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).

We treat both positive and negative disparities equally by squaring the residual values.  We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.

We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.

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Answer:

\(\frac{5\pi }{2}\:ft\) (Option D)

Step-by-step explanation:

GIVEN :-

TO FIND :-

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

Lets say an arc subtends ∠θ at the center of the circle whose radius is 'r'.

\(=> Length \; of \; the \; arc = \theta \times \frac{\pi r}{180}\)

SOLUTION :-

Length of the arc = \(\theta \times \frac{\pi r}{180} = 90 \times \frac{5\pi }{180} =\frac{5\pi }{2}\)