how will you represent the moves you have taken?​

The inequality can be written as

So, the water can continue to overflow till m minutes.

We approximated the 37.96 minutes to 38 minutes.

So, near to 38 minutes the water can flow.

A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours

Given,

Chance Product is designed to function for 10,000 hours

of failure is 3%

To find,

Average number of failures per hour

MTTF

Solution,

Average number of failures per hour = Chance of failure/Total hours of function

= 3%/10000

= 0.03/10000

= 0.000003

MTTF = 1/Average number of failures per hour

= 1/0.000003

= 333,333 hours

The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.

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Left by 4 units is the right response.

The table gives details on the quadratic functions f(x) and g(x). As the values for each x are different, it is clear from the table that f(x) and g(x) are not identical to one another. One of the functions needs to be adjusted in order to match f(x) and g(x).

It is clear from looking at the table that f(x) has to be moved to the left by 4 units in order to match g(x).

This can be calculated by subtracting the g(x) values from the f(x) values for each x.

For example, at x = -2, the difference between f(x) and g(x) is -32.

This difference is the same for all x values, meaning that f(x) must be shifted left by 4 units to match g(x). Thus, the correct answer is Left by 4 units.

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The general relationship between the sample size and the margin of error is that they are inversely proportional.

As the sample size increases, the margin of error decreases, and vice versa. In other words, a larger sample size leads to a smaller margin of error, providing more accurate and reliable results. This occurs because larger samples are more likely to represent the entire population, reducing the chance of random sampling errors.

Conversely, a smaller sample size may not fully represent the population, leading to a higher margin of error and less accurate results. In conclusion, to obtain more precise and reliable findings, it's essential to choose an appropriate sample size that minimizes the margin of error while considering factors like population size, variability, and desired confidence level.

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The equation of the line is y = -3x + 16

The general equation of a line is expressed as;

y = mx + c

Given that;

From the diagram shown, the coordinates of the line is expressed as;

(3, 7) and (2.5, 3)

The intercept. c = -3

Substitute the values

7 = -3(3) + c

expand the bracket

7 = -9 + c

collect like terms

c = 7 + 9

c = 16

The equation of the line is then given as;

y = -3x + 16

Hence, the equation is y = -3x + 16

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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Step-by-step explanation:

if you did not make any typos, then the equation is

4x³ + 35 = 21

well, you know how that is with solving equations : let's bring all terms with variables on one side, and all constant terms to the other side.

so, as first step we eliminate the + 35 on the left side by subtracting 35 on both sides :

4x³ = 21 - 35 = -14

next, we eliminate the multiplication factor 4 by dividing both sides by 4 :

x³ = -14/4 = -3.5

and now we pull the cubic root

\(x = \sqrt[3]{ - 3.5} \)

x = -1.518294486...

in contrast to square roots it is not a problem for cubic roots to have negative arguments, because a negative number to the power of 3 is again negative.

-a³ = -a×-a×-a = a²×-a = -a³

Answer:

-\(-\sqrt[3]{\frac{7}{2}}\)

Step-by-step explanation:

\(4x^{3}+35=21\)

\(4x^{3}=21-35\)

\(4x^{3}=-14\)

\(x^{3}=-\frac{14}{4}\) → \(-\frac{7}{2}\)

\(x=-\sqrt[3]{\frac{7}{2}}\)

Answer:

21N

Step-by-step explanation:

M. A = WORK OUTPUT ÷ WORK INPUT

Where M. A = 3.5 AND WORK OUTPUT = 75N

WORK INPUT = WORK(FORCE) OUTPUT ÷ M. A

= 75 ÷ 3.5 = 21.428

THEREFORE FORCE THE NUTCRACKER APPLIES TO THE WALNUT = 21.428 = Approx as 21N

Given: 75N force on nutcracker, 3.5 force on walnut

Using formula M. A = WORK OUTPUT ÷ WORK INPUT where M. A is not given W. O = 75N and W. I = 3.5N

75÷ 3.5 = 21N

The force the nutcracker applies to the walnut is approximately 262.5 N.

The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'. A force is exerted on one object by another. The idea of a force is not limited to living things or non-living things.

here, we have,

we know that,

Vectors can symbolize force because they have both magnitude (size or strength) and direction. Gravity, friction, tension, and normal force are all examples of ubiquitous forces. Newton's laws of motion, which relate an object's motion to the forces acting on it, can be used to explain the effects of forces.

In this case, the input force is the force applied to the nutcracker, and the output force is the force applied by the nutcracker to the walnut.

MA = output force/input force

Rearranging this equation, we get:

output force = MA x input force

Substituting the given values, we get:

output force = 3.5 x 75 N

output force = 262.5 N (rounded to one decimal place)

Therefore, the force the nutcracker applies to the walnut is approximately 262.5 N.

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Individuals who eat citrus fruit are significantly more likely to develop cold sores.

Given,

Relative risk = 1.89

p value = 0.047

Here,

This p-value is less than the alpha value or level of significance of 0.05 or 5%, so we reject the null hypothesis and concludes that relative risk is statistically significant.

\(H_{0} \\\) : Null hypothesis is rejected.

This means, in context of given example, Individuals who eat citrus fruit are significantly more likely to develop cold sores.

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Answer:

At the beginning, she has 25lb of flour.

Each week, she ses (5 + 3/5) pounds of flour.

Then after the first week, she has a total of:

W(1) = 25lb - (5 + 3/5)lb

After another week, she has:

W(2) = 25lb - (5 + 3/5)lb - (5 + 3/5)lb = 25lb - 2*(5 + 3/5)lb

and so on.

if x represents the number of weeks, the equation is:

W(x) = 25lb - x*(5 + 3/5)lb

where x can be {0, 1, 2, 3, 4}

That is the equation that represents the change in the weight for the first four weeks.

The simplified form of the function is 3/2 [\(x^{5} - 1/x^{5}\)] .

Given,

f(x) = 3sinh(5lnx)

Now,

sinhx = \(e^{x} - e^{-x} / 2\)

Substituting the values,

= 3sinh(5lnx)

= 3[ \(e^{5lnx} - e^{-5lnx}/2\) ]

Further simplifying,

=3 \([e^{lnx^5} - e^{lnx^{-5} } ]/ 2\)

= 3[\(x^{5} - x^{-5}/2\)]

= 3/2[\(x^{5} - x^{-5}\)]

= 3/2 [\(x^{5} - 1/x^{5}\)]

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Complete question :

f(x) = 3sinh(5lnx)

Based on the information provided, it is likely that the distribution of the number of hours students watch television weekly is not perfectly symmetric and might have a slight right-skew.

To determine if the distribution of the number of hours students watch television weekly is symmetric, we can consider the characteristics of the average and the standard deviation.

In a symmetric distribution, the mean (average) and the median are equal, and the data values are distributed evenly on both sides of the mean. Additionally, the standard deviation provides information about the spread of the data.

Given that the average number of hours is 4.73 hours, it suggests that the distribution is not perfectly symmetric. If the distribution were symmetric, we would expect the mean and the median to be very close or equal. However, we cannot conclude definitively without further information about the median.

To determine the shape of the distribution, we can look at the standard deviation of 4.11 hours. A larger standard deviation indicates a wider spread of data points around the mean.

Based on the information provided, it is likely that the distribution of the number of hours students watch television weekly is not perfectly symmetric and might have a slight right-skew. This means that there may be a concentration of data points towards the lower end of the distribution, with a tail extending towards higher values.

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The value of y is approximately 1.83(±0.005).

a. 9.48(±0.10)×8.47(±0.05)−0.18(±0.06)

Step 1: Calculate the value of the expression:

9.48 × 8.47 - 0.18 = 80.1138

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.10 × 8.47| + |0.05 × 9.48| + |0.06| = 0.847 + 0.474 + 0.06 = 1.381

Step 3: Calculate the percent relative uncertainty (%ey):

%ey = (ey / 80.1138) × 100 = (1.381 / 80.1138) × 100 = 1.726%

Therefore, the value of y is 80.1(±0.97) and the percent relative uncertainty is 80.1(±1.2%).

b. (5.54(±0.08))^0.5

Step 1: Calculate the value of the expression:

(5.54)^0.5 = 2.3503

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.08 / (2 × 5.54^0.5)| = 0.008

Step 3: Calculate the percent relative uncertainty (%ey):

%ey = (ey / 2.3503) × 100 = (0.008 / 2.3503) × 100 = 0.34%

Therefore, the value of y is 2.35(±0.02) and the percent relative uncertainty is 2.35(±0.9%).

c. log(3.24(±0.06))

Step 1: Calculate the value of the expression:

log(3.24) ≈ 0.510

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.06 / 3.24| ≈ 0.018

Therefore, the value of y is approximately 0.510(±0.008).

d. 10^3.24(±0.02)

Step 1: Calculate the value of the expression:

10^3.24 ≈ 1.7 × 10^3

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.02 × 10^3.24| ≈ 0.08 × 10^3 ≈ 8

Therefore, the value of y is approximately 1.7(±0.08) × 10^3.

e. 0.20164(±0.00008)×10^5 + 1.233(±0.002)×10^2 + 4.61(±0.01)×10^1

Step 1: Calculate the value of the expression:

0.20164 × 10^5 + 1.233 × 10^2 + 4.61 × 10^1 = 20333

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.00008 × 10^5| + |0.002 × 10^2| + |0.01 × 10^1| = 8 + 0.002 + 0.1 = 8.102

Therefore, the value of y is 20333(±8).

f. (6.14(±0.05))^(1/3)

Step 1: Calculate the value of the expression:

(6.14)^(1/3)

≈ 1.829

Step 2: Calculate the absolute uncertainty (ey):

ey = |0.05 / (3 × 6.14^(2/3))| ≈ 0.005

Therefore, the value of y is approximately 1.83(±0.005).

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The sample correlation coefficient can indeed be a positive value, a negative value, or zero.

The sample correlation coefficient measures the strength and direction of the linear relationship between two variables in a sample. It is denoted by the symbol "r" and can take values ranging from -1 to 1. A positive correlation coefficient indicates a direct relationship between the variables, meaning that as one variable increases, the other tends to increase as well.

On the other hand, a negative correlation coefficient indicates an inverse relationship, where as one variable increases, the other tends to decrease. A correlation coefficient of zero signifies no linear relationship between the variables, indicating that changes in one variable are not associated with changes in the other. Therefore, depending on the data, the sample correlation coefficient can be positive, negative, or zero, reflecting the nature of the relationship between the variables under consideration.

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Answer:

Step-by-step explanation:

cos(210)=cos(180+30)=-cos 30

\(=-\frac{\sqrt{3} }{2}\)

Variation can be direct, inverse or jointly

Jordan's first error is that he incorrectly calculated the value of proportionality constant

From the question, we understand that f varies directly as the square root of g.

This variation is represented as:

\(\mathbf{ f\ \alpha\ \frac{1}{\sqrt{g}}}\)

Express as a equation

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

When f = 4, k = 4.

So, we have:

\(\mathbf{ 4\ \ =\ k\frac{1}{\sqrt{4}}}\)

\(\mathbf{ 4\ \ =\ \frac{k}{2}}\)

Multiply both sides by 2

\(\mathbf{ k = 8}\)

When g = 100, we have:

\(\mathbf{ f\ \ =\ k\frac{1}{\sqrt{g}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{\sqrt{100}}}\)

\(\mathbf{ f\ \ =\ 8 \times \frac{1}{10}}\)

\(\mathbf{ f\ \ = 0.8}\)

This means that, Jordan incorrectly calculated the value of proportionality constant

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Answer:

12

Step-by-step explanation:

because if we add 8+6 is 14-26=12

The perimeter of the given triangle in mixed fraction form is 4 1/2 ft.

A triangle is a closed, 2-dimensional shape with three straight sides and three angles. The sum of the interior angles of a triangle is always 180 degrees. There are many types of triangles, including equilateral triangles (all sides and angles are equal), isosceles triangles (two sides and two angles are equal), scalene triangles (no sides or angles are equal), right triangles (one angle is a right angle, or 90), and obtuse triangles (one angle is greater than 90). Triangles are used in many areas of mathematics, science, and engineering.

Here,

The perimeter of the triangle:

=2 1/8+5/6+1 3/4

First, we need to convert all the mixed numbers into improper fractions:

2 1/8 = 17/8

5/6 = 10/16 = 15/24

1 3/4 = 7/4

Now we can add the three fractions:

17/8 + 15/24 + 7/4

To add these fractions, we need to find a common denominator. The smallest number that all three denominators divide into is 24. So we can rewrite the fractions with 24 as the denominator:

17/8 = 51/24

15/24 (already in the correct form)

7/4 = 42/24

Now we can add the numerators:

51/24 + 15/24 + 42/24 = 108/24

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 12:

108/24 = (9 × 12)/(2 × 2 × 2 × 3) = 9/2

=4 1/2 ft

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Answer:

y = 10-2x

Step-by-step explanation:

2x+y=10

y=10-2x

The month for the same plan to be the same for Settle City and Text Turf is 3 months.

It should be noted that Settle city charges $15 plus 5 per month for unlimited text messages text turf. This will be represented as 15 + 5m

It should be noted that when they charge $30 plus $10 per month for the same plan, this will be represented as 30 - 10m

It should be noted that m = number of months.

It should be noted that the number of months that you can take from here to company and pay the same price will be:

15 + 5m = 30 + 10m

15 - 30 = 10m - 5m

-15 = 5m

m = -15 / 5

m = -3

The value can't be negative. The information isn't properly written. It should give a positive value of 3.

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Answer:

f(-3) = |(-3)-2| = |-5| = 5

Answer:

\(p = 800 \frac{2}{5} ^{T}\)
Step-by-step explanation:

Let's assume that the initial value of the phone is $800, and that its value decreases by 3/5 each year.

After one year, the phone will be worth 2/5 of its initial value:

$800 x (2/5) = $320

After two years, the phone will be worth 2/5 of its value after one year:

$320 x (2/5)^1 = $128

Answer:

1.C

2.D

3.all angles need to be different

4.A

5.E

6.B

Step-by-step explanation:

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

To reach your fundraising goal of $75, you can sell pencils for $0.50 and bracelets for $1.00.

1. Calculate the total amount of money needed to reach the goal:
  Goal amount = $75

2. Determine the number of pencils and bracelets you need to sell to reach the goal:
  Let's assume you sell x number of pencils and y number of bracelets.

  The amount raised from selling pencils = x * $0.50
  The amount raised from selling bracelets = y * $1.00

  The total amount raised from both items should be equal to the goal amount:
  x * $0.50 + y * $1.00 = $75

3. Simplify the equation:
  0.50x + 1.00y = 75

4. Solve for one variable in terms of the other:
  Let's solve for x in terms of y:
  0.50x = 75 - 1.00y
  x = (75 - 1.00y) / 0.50

5. Substitute the value of x into the equation:
  (75 - 1.00y) / 0.50 * 0.50 + y * $1.00 = $75
  75 - 2y + y = 75
  -y = 0
  y = 0

6. Find the value of x:
  x = (75 - 1.00 * 0) / 0.50
  x = 75 / 0.50
  x = 150

To reach your fundraising goal of $75, you will need to sell 150 pencils for $0.50 each and 0 bracelets for $1.00 each.

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Answer: 16

2(8)

16

Step-by-step explanation:

b = 8

2(8)

= 16

Answer:

Step-by-step explanation:

10

Answer:

8 yards

Step-by-step explanation:

7-15=8

:)

Given

Solution

Step 1

Subtract C from both sides

Step 2

Divide both sides by 7

The final answer