4. You bought a new car worth $32,000. Each year the value of the car depreciates by
6%. What will be the value of the car at the beginning of the tenth year of owning it?
(rounded to the nearest hundredth.)

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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The initial value, base, domain and the range of the function are given in the explanation below.

Consider the exponential function: f(x) = 3(Five-fourths) Superscript x

The initial value for this function is 3

The base for this function is 5/4

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

The domain for this function is all real numbers.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range for this function is  y>0.

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Answer:

1) 3

2) 5/4

3) All real numbers

4) y>0

Step-by-step explanation:

Answer:

how far did all of together

Step-by-step explanati them walk :

Answer:

Sorry I don't know that one

Let's go over each line one by one and try to write an equation for them in the slope intercept form.

We can see line a is a vertical line. As such, we won't be able to write it in the form y=mx+b, but we can write it in the form x=my+b. Since it is parallel to the y-axis, the slope will be 0, and since it goes through the x-axis at x= -4, its equation will be

Similarly, we can see that line b is parallel to line a, so following the same resoning we'll get that its equation is

Line c is parallel to the x-axis, and it crosses the y-axis at y=4. Therefore, its equation is

Likewise, line d is parallel to the x-axis, but it goes through the y-axis at y= -2, so its equation is

Finally, since line e isn't parallel to any of the axes, we'll need to determine two points it goes through in order to get its equation. We can see it goes through the intersection of lines a and c, and through the intersection of lines b and d.

In other words, it goes through the points (-4,4) and (4,-2).

Knowing this, we can calculate its slope using the formula

so in our case

Usually we would use this slope and a known point to determine its y-intercept, but in this case we can s ee

Answer:

answer is 50.

Hope that it is helpful. Vote and like me

To add and subtract fractions, the denominators ( bottom numbers ) must be equal.

So, we have to multiply 1/2 by 4/4

So:

simplify by 2

Answer:

The measure of an angle formed by two secants intersecting outside a circle is equal to one-half the difference of the measures of the intercepted arcs.

50° = (1/2)(162° - KM)

100° = 162° - KM

KM = 62°

The value of the linear correlation coefficient, r, as calculated using Microsoft excel is: 0.708,

The linear correlation coefficient, r, using Excel spreadsheet

Step1: Open Microsoft excel spreadsheet

Step2: Entre the cost of advertising on one column, and the number of products sold on another column.

Step3: Select a blank cell and input the formula: =CORREL(B3:B10, C3:C10)

Step4: Press "entre" to get the value of the linear correlation coefficient.

Therefore, the value of the linear correlation coefficient, r, as calculated using Microsoft excel is 0.708.

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Answer:

\( \sf \: \frac{14}{3} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: \frac{7}{9} \times 6\)

Let's solve the problem,

\( \sf \rightarrow \: \frac{7}{9} \times 6\)

\( \sf \rightarrow \: \frac{(7 \times 6)}{9} \)

\( \sf \rightarrow \: \frac{42}{9} \)

\( \sf \rightarrow \: \frac{14}{3} \)

Hence, the product is 14/3.

Answer: x-5 / x

Step-by-step explanation:

because…

Answer:

\(\frac{x - 5}{x}\)

Step-by-step explanation:

\(\frac{\frac{x - 5}{x + 4} }{\frac{x}{x + 4} }\)

It can also be written as :-

\(=> \frac{x - 5}{x + 4} \div \frac{x}{x + 4}\)

\(=> \frac{x - 5}{x + 4} \times \frac{x + 4}{x}\)

Cancel x + 4 from numerator and denominator.

\(=> \frac{x - 5}{x}\)

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

No, I do not agree that non-random sampling technique is equivalent to quota sampling, which appears to be similar to stratified random sampling.

While quota sampling and stratified random sampling both involve dividing the population into subgroups or strata, they differ in terms of the sampling process.

In quota sampling, the researcher sets specific quotas or targets for each subgroup based on certain characteristics, such as age, gender, or occupation. The sampling process involves non-random selection within each subgroup until the quotas are fulfilled. Quota sampling does not involve a random selection of participants within each subgroup, making it a non-random sampling technique.

On the other hand, stratified random sampling is a true random sampling technique. It also involves dividing the population into strata based on certain characteristics, but in stratified random sampling, the selection of participants within each stratum is done randomly. This random selection ensures that every member of the population has an equal chance of being included in the sample, which helps to reduce bias and increase the representativeness of the sample.

So, while both quota sampling and stratified random sampling involve dividing the population into subgroups, the key difference lies in the selection process. Quota sampling involves non-random selection within each subgroup, whereas stratified random sampling involves random selection within each stratum.

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Answer:

trapezoid, because the figure has exactly one pair of parallel sides.

Step-by-step explanation:

Answer:

trapazoid

Step-by-step explanation:

Answer:

no 5/3 is larger

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

5/3 is a improper fraction, therefore it is bigger.

Answer:

Acute, 40 degree angle

Step-by-step explanation:

Take 90 - 50 and you get 40

I hope this helps you :)

-KeairaDickson

Answer:

40°

Step-by-step explanation:

Count how many 10s it takes to get from 90 degrees to 50 and you get your answer...

Answer: 1.1. The donation per learner cannot be determined from the given table.

1.2. TABLE 1: INCOME IN RANDS OF FUNDRAISING

Number of learners that paid Income (R)

1 200

1.3. To calculate the missing value A, we need to add up all the given incomes and subtract it from the total income for 45 learners, which is 45 x A. Then we can solve for A:

Total income = 200 + 150 + 10(2,000) + 20(45) + A + 4,000 + 9,000

Total income = 45A

45A = 25,150

A = 558.89

Therefore, the missing value A is R558.89.

1.4. The dependent variable in the table is the income received from fundraising.

To find the ratio of income received from 10 learners to income received from 45 learners, we need to divide the income received from 10 learners by the income received from 45 learners and simplify the fraction:

Income from 10 learners = R1,100 (since each learner donates R110)

Income from 45 learners = R215

Ratio = Income from 10 learners : Income from 45 learners

= 1,100 : 215

= 20 : 3 (in its simplest form)

The total number of learners enrolled at the school is 1,100. If 80% of the learners paid, then the number of learners who paid is:

80% of 1,100 = 0.8 x 1,100 = 880 learners

The minimum income that the school can raise if 80% of the learners paid is when each of the 880 learners paid the minimum donation, which is R150:

Minimum income = 880 x 150 = R132,000

Since R132,000 is less than R170,000, the SGB chairperson's statement is not valid.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

25-17

thanks me later

Answer:

False

Step-by-step explanation:

Dilations can control the size of the newly formed image. This means it can be enlarged, diminished, or unchanged.

Hence, the statement is false.

According to the information we can infer that the approximate area of the cross-section is 35.5 square meters. Additionally, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

To calculate the approximate area of the cross-section using Simpson's rule, we divide the width of the river (12 meters) into intervals and consider the depth measurements at each interval. Given the depth measurements:

We use Simpson's rule to estimate the area by applying the formula:

Using the given depth measurements, we substitute them into the formula and calculate:

According to the information, the approximate area of the cross-section is 35.5 square meters.

To calculate the approximate volume of water flowing through the cross-section in 10 seconds, we multiply the area of the cross-section by the velocity of the river.

Given the velocity of the river is 0.4 meters per second, and the time is 10 seconds:

According to the information, the approximate volume of water flowing through the cross-section in 10 seconds is 142 cubic meters.

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Answer:

x=-7

Step-by-step explanation:

5x-2x+1=3x-6-x first combine like terms

3x+1=2x-6     combine like terms by subtracting 2x from both sides

x+1=-6           subtract 1 from both sides

x=-7

The domain of the function is: Domain = {-8, -6, -4, -2, 1, 2} and  range of the function is :- Range = {-8, -6, -4, -2, 0}.

A function is a rule that maps each element in one set, called the domain, to a unique element in another set, called the range.

It is a relation between two sets where each input in the domain corresponds to a unique output in the range.

Functions are often represented by equations, graphs, or tables, and they are used to model real-world phenomena and solve mathematical problems in various fields such as science, engineering, economics, and more.

The domain of the function is the set of all possible input values, which in this case are the x-coordinates of the given points on the graph. So, the domain is:

Domain = {-8, -6, -4, -2, 1, 2}

The range of the function is the set of all possible output values, which in this case are the y-coordinates of the given points on the graph. So, the range is:

Range = {-8, -6, -4, -2, 0}

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a. uniformly distributed.  When the probability is proportional to the length of the interval in which the random variable can assume a value, the random variable is said to be uniformly distributed.

In a uniform distribution, the probability density function is constant within the interval, meaning that all values within the interval have an equal chance of occurring.

The uniform distribution is characterized by a rectangular-shaped probability density function, where the height of the rectangle represents the probability and the width of the rectangle represents the interval. This distribution is often used when there is no specific bias or preference for any particular value within the interval.

On the other hand, the normal distribution (b) follows a bell-shaped curve, the exponential distribution (c) describes the time between events in a Poisson process, and the Poisson distribution (d) is used to model the number of rare events occurring in a fixed interval of time or space.

Therefore, the random variable is uniformly distributed (a) when the probability is proportional to the length of the interval.

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The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.

Answer:

1208.9

Step-by-step explanation:

To figure out the answer we have to separate it two parts

So the surface area of the piñata is

=The surface area of first cone + the area of the second second cone

=π×r×(r+s)+π×r×(r+s)

=3.14×7×(7+24)+3.14×7×(7+17)

=3.14×7×31+3.14×7×24

=681.38+527.52

=1208.9

Note:I am not sure so if you have any doubts. You can go with others

Then for part b

if the effective rate of investment 1 is 6.83% and for investment 2 is 7.10%, then investment 2 is a better investment

The correct answer is the equation of the line is y = \(-\frac{2}{3} x - 2\)

Given the equation of the parallel line is 2x + 3y = 3

and the required line passes through the point (3, -4) where x is 3 and y is -4

We can write the given equation  as:

⇒ 3y = 3 - 2x

Dividing both sides by 3

\(y = 1 - \frac{2x}{3}\)

On comparing this equation with y= mx+b, thus m = \(-\frac{2}{3}\) and the slopes of parallel lines are always equal.

Using the point slope form, we will derive the equation of line

⇒ \(y-y_1 =m ( x- x_1)\)

⇒ \(y- (-4) = -\frac{2}{3} (x-3)\)

⇒ \(y+4= -\frac{2}{3} (x) - \frac{2}{3} (-3)\)

⇒ \(y = -\frac{2}{3} (x) +2-4\)

⇒ \(y = -\frac{2}{3} (x) - 2\)

Hence, the equation of the required line is \(y = -\frac{2}{3} (x) - 2\)

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