Convert 400 liters per day to gallons per week show work

(1). The common ration is 5 and them five terms are 21875, 109375, 546875, 2734375 and 13671875.

(2). The common ratio is 1/4, and the  five terms are 1/4, 7/1024, 7/4096, 7/16384, 7/65536 and 7/262144.

(3). The common ratio is -4 and five terms are -5120, 20480, -81920, 327680 and -1310720.

(4). The common ratio is -1/5 and the five terms are -4/3125, 4/15625, -478125, 4/390625 and -4/1953125.

Given:

a = {7,35, 175, 875, 4375,...}

a). The common ratio is 35/7 = 5

4375 *  5 = 21875, similarly, 109375, 546875, 2734375 and 13671875.

21875, 109375, 546875, 2734375 and 13671875.

b). The next five terms are

21875, 109375, 546875, 2734375 and 13671875.

2. {7, 7/4, 7/16, 7/64, 7/256..........}

a). The common ratio is 7/4/7 = 1/4.

b).  The next five terms in the sequence are 1/4, 7/1024, 7/4096, 7/16384, 7/65536 and 7/262144.

c = {5, -20, 80,-320, 1280,...}

a). The common ratio is -20/5 = -4.

b). The next five terms in the sequence are -5120, 20480, -81920, 327680 and -1310720.

d = (4-825-125 625,...}

a). The common ratio is -4/5/4 = -1/5

b). The next five terms in the sequence are -4/3125, 4/15625, -478125, 4/390625 and -4/1953125.

Therefore, the common ration for a, b, c, and d are 5, 1/4, -4 and -1/5.

Learn more about geometric sequences here:

https://brainly.com/question/32665703

#SPJ4

A quantitative variable x is a random variable if the value that x takes on in a given experiment or observation is a chance or random outcome.

A random variable is a mathematical concept used in probability theory and statistics to describe uncertain quantities or outcomes. It is denoted by a capital letter, such as X.

In the context of a quantitative variable, a random variable represents the numerical outcome or value that the variable can take on as a result of a chance or random process. For example, if we are interested in the number of successes in a series of coin flips, we can define a random variable X to represent the number of heads obtained.

There are different types of random variables, and in the case of a quantitative variable, it can be categorized as either discrete or continuous.

Discrete Random Variable: A discrete random variable can only take on a countable set of distinct values. For example, the number of heads obtained in a series of coin flips is a discrete random variable because it can only be 0, 1, 2, and so on. The probability distribution that describes the likelihood of each possible value is called a probability mass function.

Continuous Random Variable: A continuous random variable can take on any value within a specified range or interval. For example, the height of individuals in a population is a continuous random variable because it can take on any value within a certain range. The probability distribution that describes the likelihood of different intervals or ranges of values is called a probability density function.

To learn more about random variable

https://brainly.com/question/17481850

#SPJ11

Answers:

1) The Total Cost Of A One Year Membership is $279.

Explanation:

1 Month = $23

12 Months = 23 * 12 = 279

2) In 7 Months You Would Have Paid $161.

Explanation:

1 Month = $23

7 Months = 23 * 7 = 161

3) If You Didn't Want To Spend More Than $500 You Would Last 1 Year And 8 Months (20 Months) And Would Cost You $460.

Explanation:

1 Month = $23

7 Months = $161

12 Months =$279

20 Months = $460

Hope This Helps!!

Lu Signing Out!

An abrupt increase in the income guarantee over a short period of time would be the most useful source of time series variation to identify the effect of income guarantees on labor supply.

By implementing an abrupt increase in the income guarantee, we create a significant change in the treatment variable (income guarantee) within a short time frame. This creates a clear contrast between the periods before and after the increase, allowing us to isolate the impact of the income guarantee on labor supply.

With this approach, we can analyze the changes in labor supply patterns before and after the abrupt increase in the income guarantee. By comparing these periods, we can attribute any observed differences in labor supply to the income guarantee, as other factors are less likely to have changed abruptly during this time.

Using an abrupt increase in the income guarantee provides a stronger causal inference because it minimizes the potential influence of confounding factors that may affect labor supply. By focusing on a single significant change, we can better isolate and attribute the observed variations in labor supply to the income guarantee intervention.

It is worth noting that other factors such as data availability, sample size, and the ability to control for potential confounders should also be considered in order to conduct a rigorous analysis of the effect of income guarantees on labor supply.

Learn more about series here:

https://brainly.com/question/11346378

#SPJ11

The effect on the correlation coefficient if the additional data point was added would be a decrease.

The correlation coefficient is a measure of the linear relationship between two variables. A value of 0.93 indicates a strong positive linear relationship. The additional data point (7,30) is an outlier, meaning that it is far away from the rest of the data points.

Outliers can have a significant impact on the correlation coefficient, especially if there are few data points. In this case, the outlier would pull the correlation coefficient down. The new correlation coefficient is approximately 0.85.

Find out more on correlation coefficient at https://brainly.com/question/28196194

#SPJ4

Answer:

Step-by-step explanation:

f(h(-2) =

h(-2)= 5(-2)= -10

f(-10)= -10 - 2 = -12

The largest number of candies are 18 of 4 candies bar and 7 of 10 candies bar.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Note: The variable R represent the the number of remainder after the quotient is computed.

For the largest number of candies, we have the following:

Largest number of candies = 75/4

Largest number of candies = 18 R 3.

Largest number of candies = 75/10

Largest number of candies = 7 R 5.

Read more on quotient here: brainly.com/question/748723

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.

Step-by-step explanation:

Answer:

-5.2, -5.6, and  -5.8.

Step-by-step explanation:

3 rational numbers between -5 and -6.

-5 > x > -6

Where x is a rational number, that can be expressed in p/q form.

The numbers can be -5.2, -5.6, and -5.8.

-5.2 = -26/5

-5.6 = -28/5

-5.8 = -29/5

The numbers can be expressed in p/q form, so they are rational.

Answer:

40 cm²

Step-by-step explanation:

area = 2 x 20 = 40 cm²

Answer:

.........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

Step-by-step explanation:

Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

x = 300

Answer:

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Step-by-step explanation:

Use the formula for the mean: sum of elements / number of elements

Let x represent her first exam score.

Her second exam score can be represented by x + 11, since it was 11 points better than her first.

Her third exam score can be represented by (x + 11) + 5, since it was 5 points better than her second.

Plug in all of these expressions into the mean formula. Plug in 87 as the mean, and plug in 3 as the number of elements (since there are 3 scores):

mean = sum of elements / number of elements

87 =  ( (x) + (x + 11) + (x + 11) + 5 ) / 3

Add like terms and solve for x:

87 = (3x + 27) / 3

261 = 3x + 27

234 = 3x

78 = x

So, her first score was a 78.

Find her second score by adding 11 to this:

78 + 11 = 89

Find her third score by adding 5 to the second score:

89 + 5 = 94

Her first exam score was a 78, her second exam score was a 89, and his third exam score was a 94.

Answer:

1) x ≅ 51.34°

2) y ≅ 38.66°

Step-by-step explanation:

In the right triangle given in the figure

∵ The triangle has a right angle

∴ Angles x and y are acute angles and the sum of their measures is 90°

→ By using the trigonometry function tan

∵ tan(x) = opposite side to x/adjacent side to x

∵ The opposite side to x = 10

∵ The adjacent side to x = 8

→ Substitute them in the rule above

∴ tan(x) = \(\frac{10}{8}\) = \(\frac{5}{4}\)

→ Use the inverse of tan to find x

∵ x = \(tan^{-1}\)(\(\frac{5}{4}\))

∴ x = 51.34019175

∴ x ≅ 51.34°

∵ x + y = 90°

∴ 51.34 + y = 90

→ Subtract 51.34 from both sides

∴ y ≅ 38.66°

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

Answer:

78 ft²

Step-by-step explanation:

The formula for area is:

\(Area=length*width\)

A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...

\(Area=length*width\\Area=13ft*6ft\\Area=78 ft^2\)

Answer:

78 sq feet

Step-by-step explanation:

Area = length × width

If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.

Area = l × w

Area = 13 × 6

Area = 78 sq feet

Answer:

37611

Step-by-step explanation:

hope thia helpssssss

\(\huge\text{Hey there!}\)

\(\huge\textbf{Solving for your equation:}\)

\(\mathbf{|4x^2| - 3x - (9 - |-3x|)}\)

\(\mathbf{= |(4)(9)|-(2)(-3)-(9-|(-3)(-3)|)}\)

\(\mathsf{= |36| - (2)(-3)- (9 - |(-3)(-3)|)}\)

\(\mathbf{=36 - (2)(-3) - (9 - |(-3)(-3)|)}\)

\(\mathbf{= 36 -(-6) - (9 - |(-3)(-3)|)}\)

\(\mathbf{= 42 - (9 - |(-3)(-3)|)}\)

\(\mathbf{= 42 - (9 - |9|)}\)

\(\mathbf{= 42 - (9 - 9)}\)

\(\mathbf{= 42 - (0)}\)

\(\mathbf{= 42 - 0}\)

\(\mathbf{= 42}\)

\(\huge\textbf{Notice that your equation kept getting}\\\huge\textbf{getting smaller and smaller?}\\\\\\\huge\textbf{That's because we kept solving as we got}\\\huge\textbf{closer to your result and we got there}\\\huge\textbf{sooner than we thought :)}\)

\(\huge\textsf{ANYWAY!}\)

\(\huge\textsf{Therefore, the answer is: \boxed{\mathsf{Option\ D. 42}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

do you s still need it or not anymore for if you do I could answer

volume of sphere is increasing at a rate of  62,832 mm3/s.

 The volume of a three-dimensional space can be determined. It is frequently numerically expressed in terms of several imperial units or SI-derived units. Volume and length are dependent on one another.

Step 1: Define an equation that relates the volume of a sphere to its radius.

V = 4/3*π*r3

Step 2: Take the derivative of each side with respect to time (we will define time as "t").

(d/dt)V = (d/dt)(4/3*π*r3)

dV/dt = 4πr2*dr/dt

Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.

dV/dt = 4π(50mm)2*(2mm/s)

dV/dt = 62,832 mm3/s

learn more about volume here :

brainly.com/question/1578538

#SPJ4

Frank is a high school mathematics teacher. He is interested in what habits affect his student's final exam performance. He surveyed a random 60 out of 100 students in his classes and asked each one how many hours he or she spent studying. He also rated their class participation on a scale from 1 to 10. The response variable is exam performance

The response variable in this scenario is the students' final exam performance. Frank is interested in understanding how habits, such as studying hours and class participation, influence the students' performance on the final exam.

By surveying the students and collecting data on their studying hours and class participation ratings, Frank aims to analyze the relationship between these habits and the students' exam scores.

The final exam performance is the outcome or response variable that   Frank wants to examine and understand in relation to the habits of studying and class participation, Frank being a high school mathematics teacher.

To know more about mathematics , visit

https://brainly.com/question/13266040

#SPJ11

Answer:

9 cm

Step-by-step explanation:

Total surface area of a cube =486 cm²

 We know that the surface area of the cube

=6l²

 Therefore,

6l ² =486

l² =81

l =9 cm

The number of units x that produces a maximum revenue with the expression given is x = 0.

To find the value of x that maximizes the revenue function R, we can take the derivative of R with respect to x and set it equal to 0. This will give us the critical point of the function.

The derivative of the function R with respect to x is:

R'(x) = 342x - 0.18x²

Setting this equal to 0, we get:

342x - 0.18x² = 0

Solving for x, we find that x = 0 or x = 1900.

However, we need to consider the constraints of the problem to determine which value of x is the optimal solution. If x is a number of units, then x cannot be negative. Therefore, the only valid solution is x = 0.

Learn more about Optimal solution at:

brainly.com/question/15356519

#SPJ4

Answer:

x=-5

Step-by-step explanation:

The answer is x = -5. The explanation and answer is in the image below.

The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

For more such questions on Conversion of g/cm3 to kg/m3.

https://brainly.com/question/30086429#

#SPJ11

A solution in mathematics is any value of a variable that makes the specified equation true.

On, the other hand, a solution set is the set of all variables that makes the equation true.

For example;

the solution set of 2y + 6 = 14 is 4 because 2(4) + 6 = 14.

In summary, 4 is the solution set in the above example because it makes the equation true.

Also, when an equation has two variables, the set of ordered pairs that are the solution to the equation are called the solution set to the equation.

Learn more about solution sets at: https://brainly.com/question/11988499

#SPJ4

In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.

On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.

While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.

The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.

Learn more about probability distribution here:

brainly.com/question/29062095

#SPJ11

Answer:

The square root of 45

Step-by-step explanation:

9^2-6^2=c^2

81-36=c^2

45=c^2

c=sqrt(45)