a cylindrical tank with diamiter 20 feet is filled with oil to a dept of 40 feet the oil begins draiing at a constant rate of 2 cubic feet peer second write the volume of the oil remaining

Answer:

No

Step-by-step explanation:

A function cannot have two different points with the same x-coordinate. For instance in this one, (0,3) & (0,8) share the same value of x

To represent the solution set of a linear equation parametrically, we introduce other parameters like s and t for the free variables.

Every linear equation has n - 1 free variables where n is the number of variables.

For x + y + z = 2, we have 3 variables and 3 - 1 = 2 free variables.

First, let y and z be the free variables, we first solve the linear equation for x to get:

x = 2 - y - z

Therefore , the parametric representation of the solution set is given by :

x = 2 - s -t

y = s

z = t

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The solutions to the given surd problems are:

a) -√2 + 4√3 i

b) 25 + 29i

Surds are defined as the values in square root that cannot be further simplified into whole numbers or integers. Surds are also referred to as irrational numbers.

a) We are given the expression:

√18 - √-12 + √-108 - √32

A negative root is a complex number. Thus, we have:

√18 - (√12)i + (√108)i - √32

= 3√2 - 2√3i + 6√3i - 4√2

= -√2 + 4√3 i

b) (2 - 3i)(1 + 5i) + (5 - 4i)(2i - 3)​

= 2 + 7i + 15 + 22i + 8

= 25 + 29i

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Jason's trip was 9 minutes longer than his usual drive to work.

Given that,

Distance from Jason's home to office = 20 miles

Speed of driving from home to office = 50 miles/hour

Total time taken to reach from home to office = distance ÷ speed = 20/50 = 0.4 hours = 24 minutes

Thus, on a normal day, Jason takes 0.4 hours to reach his office from home.

Now, Jason drove for 12 minutes when his car broke down,

The taxi arrived 15 minutes later and drove at 40 miles/hour,

Total time spent to reach office from taxi= distance ÷ speed = 20/40 = 0.5 hours= 30 minutes

Although he already spent 12 minutes driving before the taxi arrived so,

30 - 12 = 18 minutes.

But, he waited for the taxi to arrive for 15 minutes so,

18+15 = 33 minutes.

Thus, today Jason took 33 minutes to reach the office from his home.

Therefore, Jason took (33- 24)minutes which is equal to 9 minutes longer than his usual drive to work.

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Answer:

isjdiwkidsosjsosos

Step-by-step explanation:

hola idnskdnsomsx

Answer:

w=−12

Step-by-step explanation:

1

6

w+

5

8

=

−11

8

Step 2: Subtract 5/8 from both sides.

1

6

w+

5

8

−

5

8

=

−11

8

−

5

8

1

6

w=−2

Step 3: Multiply both sides by 6.

6*(

1

6

w)=(6)*(−2)

w=−12

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

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Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

\( W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg \)

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

\( W_{e} = W - M = 22 kg - 20 kg = 2 kg \)

We can express the excess weight in percentage as follows:

\( \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% \)  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

I hope it helps you!                      

A quadrilateral called a parallelogram has two sets of opposing sides that are parallel and of equal length. Given that both ABEF and BCDE are parallelograms, it follows that AB and BC are also parallelograms.

Since AB || DE and BC || EF, it follows that angle A = angle D and angle B = angle E.

Additionally, we know that AB = DE and BC = EF since the opposing sides of a parallelogram are equal in length.

We have two pairs of congruent and parallel sides, AC and DF and BC and EF, respectively, if we connect points C and F. Thus, ACDF is a parallelogram, according to this.

In conclusion, since both ABEF and BCDE are parallelograms, it follows that ACDF likewise meets the requirements for being a parallelogram.

ACDF is a parallelogram because it has two sets of parallel and congruent sides, as well as congruent matching angles.

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Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old

Check the picture below.

Answer: Thank you

Step-by-step explanation:

Hope your day is going well or went well

Answer:

Yes the slope is 100 feet/second

Step-by-step explanation:

Change in height = 2500

Change in temp = 25

2500 ÷ 25 = 100

Answer:

-2

Step-by-step explanation:

4 + (-6) = -2

Answer:

If the correction of 6 * 6X is accurate then I hope this is the answer.

Step-by-step explanation:

6(6x)+3x=3+3x+5

1. First multiply 6 by 6

36x+3x=3+3x+5

2. Then add 36X and 3X

39x=3+3x+5

3. After that add 3 and 5

39x=3x+8

4. Subtract 3x from both sides of the equation.

39x−3x=8

5. Subtract 3x from 39x

36x=8

6. Divide

36X. 8

______. = ______

36. 36

7. 36X and 36 cancel out because they

are common factors

8. The common factor between 8 and 36 is 4.

S you are left with. 2

X= _____

9

_

9. If you would like the decimal, than it is, X = 0.2

The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.

To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:

Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)

Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)

Expected return = 0.036 + 0.0495 - 0.0125

Expected return = 0.073

The expected return is 7.30%.

To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:

Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)

Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2

Variance = 0.00232 + 0.000173 + 0.001903

Variance = 0.004423

The standard deviation is the square root of the variance:

Standard deviation = √(0.004423)

Standard deviation = 0.0665

Therefore, the value obtained is 0.0665.

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Answer:

obtuse angled triangle

Answer:

Option 4

Step-by-step explanation:

\(5( \frac{1}{3} x + 7) - 3( \frac{1}{2} x - 4)\)

\( \frac{5}{3} x + 35 - \frac{3}{2} x + 12\)

\( \frac{5}{3} x - \frac{3}{2} x + 35 + 12\)

\(2 \times 5x - 3 \times 3x \div 3 \times 2 + 47\)

\( \frac{10x - 9x}{6} + 47\)

\( \frac{x}{6} + 47\)

Answer:

Solution given:

5(⅓x+7)-3(½x-4)

distribute it

\( \frac{5}{3} x+35-\frac{3}{2}x+12\)

\( \frac{5}{3} x-\frac{3}{2}x+35+12\)

\( \frac{5*2-3*3}{3*2} x+47\)

\( \frac{1}{6} x+47\) is a required answer.

Answer:Factor the polynomial

3(a−4b)2

Answer:

B

Step-by-step explanation:

The cost price of this television set is equal to $447.87.

Given the following data:

To calculate the cost price:

In this exercise, you're required to determine the cost price of a television set that was sold for $421.

Mathematically, cost price is given by this formula:

\(Cost\;price = \frac{Selling\;price \times 100}{100-Percentage\;loss}\)

Substituting the given parameters into the formula, we have;

\(Cost\;price = \frac{421 \times 100}{100-6}\\\\Cost\;price = \frac{42100}{94}\)

Cost price = $447.87.

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The first and second derivative terms can be evaluated using the finite volume method with linear interpolation. Comparing the two, the first derivative represents the slope or rate of change, while the second derivative describes the curvature or rate of change of the first derivative.

In the finite volume method with linear interpolation, the first and second derivative terms can be calculated to analyze the behavior of a function. The first derivative represents the slope or rate of change of the function at a particular point. It provides information about the direction and magnitude of the function's change. By evaluating the first derivative using linear interpolation, we can estimate the rate of change between adjacent points in the discretized domain.

On the other hand, the second derivative describes the curvature or rate of change of the first derivative. It measures how the slope of the function is changing with respect to the independent variable. The second derivative can indicate whether the function is concave up or concave down and can help identify points of inflection. Using linear interpolation, the second derivative can be approximated based on the discretized data points.

When comparing the first and second derivative terms, it is important to note that the second derivative provides additional information about the behavior of the function beyond what the first derivative reveals. While the first derivative focuses on the rate of change, the second derivative indicates how that rate of change is changing. By considering both derivatives, we can gain insights into the shape, convexity, and other characteristics of the function being analyzed.

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Answer:

d) last bottom picture

Step-by-step explanation:

This shape has 4 boxes and two are shaded. So, it means the fraction of 2/4. Hence, option (d) is the correct answer.

    - - - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - - - -- - - - - - - - - - - - -- - - - -- -

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Which picture shows 2/4?

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

Remember, fractions should be equal parts.

The first one shows 2/5, so it's not Option A.

The second one doesn't have equal parts, so this is not a fraction.

Henceforth, it's not Option B either.

The third option shows 1/3, so it's not Option C.

However, the fourth option does show 2/4, and the parts are equal.

\(\dashrightarrow\bigstar\boxed{\boxed{\bold{Option\:D\:is\:correct}}}\dashleftarrow\)

    - - - - - -- - - - - - - - - - - - - -  - - - - - - -- - - - - - - - - - - - - - - - - - - - -- - -- -

The bias based on the naive forecast method for the given data is 2.0.

To calculate the bias using the naive forecast method, we first need to calculate the average of the time series values. The formula for the naive forecast is simply taking the last observed value as the forecast for the next period.

The time series values given are 13, 19, 8, and 14. To find the average, we sum up these values and divide by the number of values:

Average = (13 + 19 + 8 + 14) / 4

= 54 / 4

= 13.5

Next, we take the last observed value, which is 14, as the forecast for the next period.

Finally, we calculate the bias by subtracting the average from the forecast:

Bias = Forecast - Average

= 14 - 13.5

= 0.5

Rounding the bias to 1 decimal place, we get a bias of 0.5, which can also be expressed as 2.0 when rounded to the nearest whole number.

Therefore, the bias based on the naive forecast method for the given data is 2.0.

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Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

The Test value for difference between the mean numbers of calls for the two shifts at the 0.05 level of significance is 31.94

According to the question,

Karen's data:

Sample size : n₁ = 37

Sample mean = 4.5

Sample standard deviation : s₁ = 1.1

Jodi's data ,

Sample size : n₂ = 32

Sample mean = 5.3

Sample standard deviation : s₂ = 1.5

To calculate significance difference between two means we use t-test

t = difference of mean / √(pooled variance / n₁ + n₂)

Pooled Standard deviation = \(\sqrt(\frac{(n_1 - 1)s_1^{2} + (n_2 - 1)s_2^{2})}{n_1 + n_2 -2}\)

=> \(\sqrt(\frac{(37 - 1)1.21+ (32 - 1)2.25)}{37 + 32 -2}\)

=> \(\sqrt(\frac{(43.56+ 69.75)}{67}\)

=>\(\sqrt(\frac{(113.31)}{67}\)

=> √1.6911

t = 37 - 32 / (√1.6911/37+32)

=> 5 / √0.0245

=> 31.94  is test value

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Answer:

c = -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.