Find the designated sum of the arithmetic series.

S9 of 22+20+18+16+…

Answer:

3.67 hours

Step-by-step explanation:

Speed is the ratio of distance to time, it is given by the formula:

Speed = Distance / time

For annike her average speed was 11 miles per hour and she started at  7 am.

At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:

11 miles/hr = distance / 1 hr

Distance = 11 miles per hr × 1 hr = 11 miles

After 8 am, the distance traveled at time t is:

11 = distance/t

distance = 11t

Total distance = 11t + 11

For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:

14 = distance/t

Distance = 14t  

Given that both bikers traveled the same distance, hence:

14t = 11t + 11

3t = 11

t = 11/3

t = 3.67 hours

Answer:

1) \(9^{2}=81\)

2) \(7=log_{2}(128)\)

Step-by-step explanation:

1)

We need to use the property of power and logarithms, particularly this:

\(a=x^{log_{x}(a)}\) (1)

So, let's take take the exponent:

\(9^{log_{9}}(\frac{1}{81})=9^{-2}\)

\(\frac{1}{81}=9^{-2}\)

now, we can write the negavitve power as:

\(\frac{1}{81}=\frac{1}{9^{2}}\)

So, the aswer will be:

\(9^{2}=81\)

2)

Applying equation 1, let's take log in base 2 on each side of the equation

\(log_{2}(2^{7})=log_{2}(128)\)

using the power definition in log, we have:

\(7log_{2}(2)=log_{2}(128)\)

Therefore, the answer is:

\(7=log_{2}(128)\)

I hope it helps you!

Answer:

Explanation:

because

All sides will reach each other

True, it is important to be realistic when submitting a proposal probability  in response to an RFP as there are usually many contractors competing for the same project.

When submitting a proposal in response to an RFP, it is important to be realistic about the probability of being selected as the winning contractor. This is because RFPs typically attract a large number of contractors competing for the same project. As a result, the chances of being selected as the winning contractor can be slim. It is important to ensure that the proposal is well-crafted and competitive in order to maximize the chances of being selected. Additionally, it is important to research the organization and the project to understand what they are looking for and tailor the proposal accordingly. Doing so will help the contractor to stand out from the competition and increase their chances of being selected as the winning contractor.

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Answer:

Triangles X and Z are congruent

Step-by-step explanation:

I googled it...

BTW HERE'S MAH PFP CAUSE I AM PROUD OF IT

Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.

Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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The estimates of tolerance intervals, we first need to calculate the mean and standard deviation of the breaking strengths of the trash bags.

To calculate estimates of tolerance intervals using the empirical rule, we need to know the mean and standard deviation of the data. In this case, we are looking for the breaking strengths of trash bags.

The empirical rule states that for a normal distribution:
- Approximately 68.26% of the data falls within one standard deviation of the mean
- Approximately 95.44% of the data falls within two standard deviations of the mean
- Approximately 99.73% of the data falls within three standard deviations of the mean

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a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).

b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).

c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).

To develop confidence intervals for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

where the standard error is equal to the sample standard deviation divided by the square root of the sample size.

a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.

From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.

The standard error can be calculated as:

Standard Error = sample standard deviation / sqrt(sample size)

Standard Error = 4.4 / sqrt(56)

Standard Error ≈ 0.5882

Now we can calculate the confidence interval:

Confidence Interval = 22.5 ± (1.671 * 0.5882)

Confidence Interval = 22.5 ± 0.9816

Confidence Interval ≈ (21.52, 23.48)

b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.004 * 0.5882)

Confidence Interval = 22.5 ± 1.178

Confidence Interval ≈ (21.322, 23.678)

c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.678 * 0.5882)

Confidence Interval = 22.5 ± 1.574

Confidence Interval ≈ (20.926, 24.074)

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In order to create a diagram that represents the quantities of each ingredient adde, could be:

CM = X X X

FB = X X

CS = x

Where CM is Cups of Milk, FB is Frozen Bananas and CS is Chocolate Syrup. There, x representent the ammount of each ingredient.

Now, we determine the proportions of the ingredients:

There are 3 cups of milk per two frozen bananas (3:2)

There are 2 frozen banas per tablespoon of chocolate syrup (2:1).

There are 3 cups of milk per tablespoon of chocolate syrup (3:1).

Now, in order to write 3 sentences that contain the ratio of the ingredients we could think of it as a recipe:

*"In order to get this smoothie we will need 3 cups of milk and a tablespoon of chocolate syrup."

*"We will also add 2 frozen bananas for each tablespoon of chocolate syrup."

*"Remember that that is the ammount of ingredients per serving, so if you want more servings you will also need another extra 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup for each extra serving."

The event where two or more things happen at the same time is called a "compound event."  the correct answer is B.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

A compound event refers to a situation where two or more events occur at the same time. In other words, it is an event that consists of multiple outcomes happening simultaneously.

For example, if you flip a coin and roll a dice at the same time, the resulting event would be a compound event because it involves the outcomes of both actions occurring simultaneously. It is important to distinguish between compound events and independent or dependent events, as they have different probabilities and methods of calculation. Compound events are often used in probability theory and statistics to analyze and predict the likelihood of multiple outcomes occurring at the same time.

The event where two or more things happen at the same time is called a "compound event." Therefore, the correct answer is B.

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Principal Roberts should invest her lottery winnings in Option A for the best return. Which is 4.5% interest, compounded semi-annually for 5 years.

Principal Roberts has three investment options to consider:

A) 4.5% interest compounded semi-annually for 5 years,

B) 4% interest compounded continuously for 5 years, and

C) 4.25% interest compounded quarterly for 5 years.

To determine which account yields the most money, we need to calculate the future value of each investment using their respective interest rates and compounding frequencies.

Option A: FV = P(1 + r/n)⁽ⁿt⁾ = $3,500,000(1 + 0.045/2)²ˣ⁵ = $4,327,788.83

Option B: FV = P*e⁽ⁿt⁾ = $3,500,000*e⁽⁰·⁰⁴ˣ⁵⁾= $4,286,026.67

Option C: FV = P(1 + r/n)⁽ⁿt⁾ = $3,500,000(1 + 0.0425/4)⁴ˣ⁵ = $4,317,277.92

Comparing the future values, Option A yields the highest amount of $4,327,788.83.

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The sweets Candy Bars 1 through 3 and Each individual will get a one - third of a candy bar as  each candy bar is cut into three equal pieces .

A fraction is a percentage or ratio between two numbers that is expressed numerically. Typically, it is expressed as a/b, where a stands for the numerator and b for the denominator. The denominator is the total number of equal parts that make up the whole, while the numerator is the number of equal parts that are being taken into account. Three out of four equal portions, or three-fourths of the entire, are represented by the fraction 3/4, for instance. Mathematicians frequently use fractions, particularly in the areas of algebra, geometry, and arithmetic.

given

Each individual will get a one - third of a candy bar.

A visual representation of this might be the following, where each candy bar is cut into three equal pieces and presented to a different friend:

\(| 1/3 | | 1/3 | | 1/3 |\)

The sweets Candy Bars 1 through 3 and Each individual will get a one - third of a candy bar as  each candy bar is cut into three equal pieces .

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true

Because 10 is the square root of hundred and 11 is the square root of 121

so the square root of 115 should be between 10 & 11

Answer:

-20j+ 6j=-14j

-14j + 18j=4j

4j-9j=-5j

-5j=-3-17

-5j =-20

j =-20÷-5

j =4

Hello!

\(\sf (\frac{2}{3})^{2} ~\times (\frac{2}{3})^{6} \\\\\\= \sf (\frac{2}{3})^{2+6}\\\\\\\boxed{= ( \frac{2}{3})^{8}}\)

Answer:

direct variation for both, 0.5x and -2.5x

Step-by-step explanation:

what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.

Answer:

The percent increase is 200%.

Step-by-step explanation:

____________________________________________________

percent change = (new number - old number)/(old number) × 100%

A positive percent change is a percent increase. A negative percent change is a percent decrease.

____________________________________________________

new number = 33

old number = 11

percent change = (33 - 11)/(11) × 100%

percent change = 22/11 × 100%

percent change = 2 × 100%

percent change = 200%

Answer: The percent increase is 200%.

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Triangles are similar ,

Thus :

\( \frac{9}{3} = \frac{6}{x} \\ \)

\(3 = \frac{6}{x} \\ \)

\( \frac{6}{x} = 3 \\ \)

Inverse both sides

\( \frac{x}{6} = \frac{1}{3} \\ \)

Multiply sides by 6

\(6 \times \frac{x}{6} = 6 \times \frac{1}{3} \\ \)

\(x = 2 \times 3 \times \frac{1}{3} \\ \)

\(x = 2\)

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The project consists of four activities: A, B, C, and D. The normal completion times for these activities are 5, 8, 1, and 5 weeks, respectively.

The project activities are labeled as A, B, C, and D, with their respective normal completion times of 5, 8, 1, and 5 weeks. Activity B has the potential to be crashed, meaning its completion time can be reduced from 8 weeks to 3 weeks. The crash time for activity B is 2 weeks.

Crashing an activity involves allocating additional resources, such as manpower or equipment, to expedite its completion. However, this acceleration comes at an additional cost. In this case, crashing activity B by 2 weeks incurs a cost of $2,000. The crash time for activity B is determined by subtracting the crash time from the normal completion time, resulting in a new completion time of 3 weeks.

Overall, the project has a critical path, which is the longest path of activities that determines the minimum time required for the project's completion. In this scenario, the critical path includes activities A, B, and D, with a total duration of 13 weeks (5 weeks for A, 3 weeks for B, and 5 weeks for D). By crashing activity B, the project's overall duration can be reduced by 5 weeks, resulting in a more expedited completion time.

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

$68.99

Step-by-step explanation:

This is called percentage decrease:

(100 - 72)% = 28%

246.40 × 28/100

= $68.99

Answer:

x=13

y= -9

(13, -9)

Step-by-step explanation:

If we are solving using the substitution method, we can take the first equation and set it to y so y=4-x.

Then, we can take that equation and plug it into the bottom one so

3x+4(4-x)=3

Simplify:

3x+16-4x=3

-x=-13

x=13

We can then plug 13 into any of the two given equations (I am just going to plug it into the top one)

So, 13+y=4 which y= -9

Answer:

Everyone got 3 pens, 21 remained

Step-by-step explanation:

111:30=3 21/30

The total area of the composite figure, which includes a rectangle and a semicircle, is 119.25 square units.

To calculate the area of the composite figure consisting of a rectangle and a semicircle, we need to find the areas of the individual components and then add them together.

Rectangle: The rectangle has dimensions 8 by 10. The area of a rectangle is calculated by multiplying its length by its width.

Area of rectangle = length * width = 8 * 10 = 80 square units.

Semicircle:

The semicircle has a diameter of 10. The area of a semicircle is half the area of a full circle with the same diameter.

Radius of the semicircle = diameter / 2 = 10 / 2 = 5 units.

Area of semicircle = (π * radius^2) / 2 = (3.14 * 5^2) / 2 = 3.14 * 25 / 2 = 39.25 square units.

Composite Figure:

To find the total area, we add the area of the rectangle and the area of the semicircle.

Total area = Area of rectangle + Area of semicircle = 80 + 39.25 = 119.25 square units.

Therefore, the area of the composite figure is 119.25 square units.

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If the sand falls at a rate of 16 cubic millimeters per second, a player would have approximately 6.25 seconds for their turn.

The rate of sand falling from the hourglass is given as 16 cubic millimeters per second. We need to find out the time available for a turn. Let's assume that the hourglass is filled with 'x' cubic millimeters of sand.

We can use the formula:

Volume = Rate x Time

Here, the volume of sand is 'x' cubic millimeters, the rate is 16 cubic millimeters per second, and we need to find the time available for a turn, which we can represent as 't' seconds.

So,

x = 16t

We can rearrange this equation to find 't':

t = x/16

This means that the time available for a turn is equal to the volume of sand in the hourglass divided by the rate at which the sand falls.

We don't know the exact volume of sand in the hourglass, but let's assume it's 100 cubic millimeters.

Then,

t = 100/16

t = 6.25 seconds

So, in this case, a player would have approximately 6.25 seconds for their turn before all of the sand falls to the bottom of the hourglass.

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