Use the Pythagorean Theorem to find the length of the missing side. Then find cos 0. Give an exact answer with a rationalized denominator. 3 3√73 73 OB. √73 8 √73 O D. 8√√73 73 O A. O c.

Answer:

\( \dfrac{2(x - 2)}{x + 5} \)

Step-by-step explanation:

\( \dfrac{12(x - 2)^2}{6(x - 2)(x + 5)} = \)

\( = \dfrac{2(x - 2)}{x + 5} \)

Given that `f(0) = 1` and for every `a ∈ R` we have `lim x--> a f(x) - f(a) = 0`, we have to find the function `f(x)` from the given options.

(a) `f(x) = 1`If `f(x) = 1`, then `f(0) = 1`, which is given.

(b) `f(x) = 1+x`If `f(x) = 1+x`, then `f(0) = 1 + 0 = 1`, which is given.

Let's check for the given limit.`lim x--> a f(x) - f(a) = lim x--> a (1+x) - (1+a) = lim x--> a (x - a) = 0`.

Hence, `f(x) = 1+x` is the solution.

(c) `f(x) = cos(x)`If `f(x) = cos(x)`, then `f(0) = 1`, which is given.

But `lim x--> a f(x) - f(a) = lim x--> a (cos(x) - cos(a)) ≠ 0`.

Hence, `f(x) = cos(x)` is not the solution.

(d) `f(x) = e^x`If `f(x) = e^x`, then `f(0) = e^0 = 1`, which is given.

Let's check for the given limit.`lim x--> a f(x) - f(a) = lim x--> a (e^x - e^a) ≠ 0`.

Hence, `f(x) = e^x` is not the solution.

Therefore, the correct option is (b) `f(x) = 1+x`.

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The number of movie bewteen 25 and 29 are 5.

Answer:

ok muchas gracias por tus puntos

Answer:THE SECOUND ONE

Step-by-step explanation:

PLZ IT RIGHTS

Answer:

from the calculator i got 25.59375

Step-by-step explanation:

Answer:

2(5x – 1)

Step-by-step explanation:

Answer:

She had $150 in the beginning before she bought the swimming items.

Step-by-step explanation:

You have the right numbers for the equation but you also times the money she had in total.

The equation is x-3(44)=18

44 is the total for one daughter and you times that by three to get for three duaghters.

Then you multiply -3 and 44 which is -132.

Which would be x-132=18

Now you would move -132 to the other side which would be +132 →x=18+132

x=150

Answer:

Exact surface area = 500+20pi square cm

=============================================================

Explanation:

All areas mentioned are in square cm, which can be abbreviated to cm^2.

Faces A,B,C are straight forward as they are simply rectangles. The remaining 3 other faces are a bit tricky.

Faces D and E involve subtracting off the area of a semicircle of radius 2 from a 7 by 10 rectangle area. The formula pi*r^2 is the area of a full circle, while 0.5*pi*r^2 is the area of a semicircle. From there, I then plugged in r = 2.

The top face is really a combination of 3 different pieces (two flat, one curved in the middle). Each flat part is of area 3*12 = 36, so that doubles to 2*3*12 when accounting for both flat parts. The curved portion will involve the lateral surface area of a cylinder formula which is

LSA = 2*pi*r*h

but since we're only dealing with half the lateral area, we multiply that by 0.5 to get 0.5*2*pi*r*h. From there, I plugged in r = 2 and h = 12.

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

In summary we have these six areas for the faces

Add up those sub areas to get the full surface area of this particular 3D solid.

120+84+84+(70-2pi)+(70-2pi)+(72+24pi)

(120+84+84+70+70+72)+(-2pi-2pi+24pi)

500+20pi

This is the exact surface area in terms of pi. If you want the approximate version of this, then you could replace pi with 3.14 and compute to get 562.8 cm^2

Use more decimal digits in pi to get a more accurate value. If you use your calculators version of pi, then you should get somewhere around 562.831853 cm^2

In this case, I think it's better to stick with the exact surface area (unless your teacher instructs otherwise).

Answer:

It’s just -24 minus -18 so that’s $-6

Step-by-step explanation:

Answer:

-72-27m or switch them for -27m-27

Step-by-step explanation:

We are given the problem:

9(-8-3m)

and are asked to combine like terms.

Combining like terms means to combine terms/values that share similar properties.  In this case, it would be single numbers or if we had more than 1 value with "m" as the variable, that.

We would have to use the distributive property in this case to combine like terms, so distribute the 9 to all terms in the parenthesis.

-72-27m

We usually put the variable and coefficient first, so it would be -27m-72.

Hope this helps! :)

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

The correct answer is b. frequency.

Data collection in a functional analysis typically involves recording the frequency of a target behavior. In functional analysis, the focus is on understanding the function or purpose of a behavior, and frequency data helps to identify patterns and determine the relationship between the behavior and environmental events.

During a functional analysis, various conditions are manipulated to assess how they impact the occurrence of the behavior. The frequency of the behavior is typically recorded within each condition to determine if there are differences in its occurrence based on the specific environmental variables being manipulated.

While duration and momentary time sampling are also data collection methods used in behavioral analysis, they are not specifically associated with functional analysis. Duration refers to measuring the length of time a behavior occurs, while momentary time sampling involves recording whether a behavior is occurring or not at specific intervals of time.

In functional analysis, frequency data is typically the primary method for collecting and analyzing data to understand the relationship between behavior and environmental variables.

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Data collection in a functional analysis is usually based on three components: duration, frequency, and momentary time sampling. Duration observes the amount of time a behavior occurs. Frequency measures how often a behavior occurs. Momentary time sampling observes the existence of behavior at specified time intervals.

In the context of a functional analysis, typically the data collection methods revolve around three primary types: duration, frequency, and momentary time sampling.

Duration refers to the total amount of time that a behavior happens. It generally is measured from the moment the behavior begins until it ends. It's important when the length of time that the behavior occurs can impact its functionality.

Frequency records how often a behavior occurs within a set observational period. It’s used when the number of times the behavior occurs is the important aspect to measure.

Momentary time sampling is a method of measuring behavior in which the existence or nonexistence of behaviors are recorded at precisely specified time intervals. This process involves observing whether the behavior occurs or does not occur at the moment the interval ends. This method is beneficial as it does not need continuous observation.

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A 99% confidence interval for the difference in mean wait times for ambulance and self-transported patients is  (0.15, 3.33) minutes. Since the interval includes 0, we cannot conclude that the difference in mean wait times is statistically significant at a 99% level of confidence.

To estimate the difference between the mean wait times for ambulance-transported patients and self-transported patients, we can use the two-sample t-interval for the difference in means, assuming equal variances:

\($\bar{x}_1 - \bar{x}2 \pm t{\alpha/2, n_1 + n_2 - 2} \times \sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2}}$\)

\($\bar{x}1$ and $\bar{x}2$\)where are the sample means, \($s_p$\) is the pooled standard deviation, \($n_1$\) and \($n_2$\) are the sample sizes, and\($t{\alpha/2, n_1 + n_2 - 2}$\) is the critical value from the t-distribution with\($n_1 + n_2 - 2$\) degrees of freedom.

Substituting the given values, we get:

\($\bar{x}_1 - \bar{x}_2 \pm 2.626 \times \sqrt{\frac{8.30^2}{77}+\frac{5.16^2}{73}}$$\implies 6.04 - 4.30 \pm 2.626 \times \sqrt{\frac{8.30^2}{77}+\frac{5.16^2}{73}}$\)

\($\implies 1.74 \pm 1.59$\)

Thus, the 99% confidence interval for the difference between the mean wait times is (0.15, 3.33) minutes.

To determine whether the difference in mean wait times is statistically significant based on the confidence interval, we need to check if the interval contains zero. Since the interval does not contain zero, we can conclude that the difference in mean wait times between ambulance-transported patients and self-transported patients is statistically significant at the 99% confidence level.

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--The given question is incomplete, the complete question is given

"Patients with heart-attack symptoms arrive at an emergency room either by ambulance or self- transportation provided by themselves, family, or friends. When a patient arrives at the emergency room, the time of arrival is recorded. The time when the patient's diagnostic treatment begins is also recorded An administrator of a large hospital wanted to determine whether the mean wait time time between arrival and diagnostic treatment) for patients with heart-attack symptoms differs according to the mode of transportation. A random sample of 150 patients with heart-attack symptoms who had reported to the emergency room was selected. For each patient, the mode of transportation and wait time were recorded. Summary statistics for each mode of transportation are shown in the table below. Mode of Transportation Sample Size Mean Wait Time Standard Deviation (in minutes) of Wait Times (in minutes) 6.04 4.30 8.30 5.16 Ambulance Self 77 73 (a) Use a 99 percent confidence interval to estimate the difference between the mean wait times for ambulance-transported patients and self-transported patients at this emergency room. You may assume that conditions for inference are met. (b) Based only on this confidence interval, do you think the difference in mean wait times is statis- tically significant? Justify your answer."--

Loosen monetary policy causes interest rates to decrease and consumption and investment to increase.

When a central bank, such as the Federal Reserve in the United States, loosens monetary policy, it is typically trying to stimulate economic growth by making borrowing cheaper for individuals and businesses. One of the ways it can do this is by lowering interest rates.

When interest rates decrease, it becomes less expensive for individuals and businesses to borrow money, which can encourage them to spend more on things like homes, cars, and business expansion. This increased spending can lead to a boost in economic growth, as consumer and business spending are two major drivers of economic activity.

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Answer:

///so basically it is 21/56

In order to overtake Susie in the election, Calvin must obtain at least 59% of the votes still cast.

Let's assume that there are a total of 100 votes in the election. If Susie receives 53% of the first 80 votes, she gets:

0.53 x 80

= 42.4 votes

And if Calvin receives 47% of the first 80 votes, he gets:

0.47 x 80

= 37.6 votes

So, Susie is currently ahead by:

42.4 - 37.6

= 4.8 votes

Now, let's assume there are N remaining votes. We want to know what percentage of the remaining votes Calvin needs to win, so we can set up an equation:

0.47 × (80 + N)

= 0.53 × (80 + N) - 4.8

Simplifying this equation, we get:

0.06 x (80 + N)

= 4.8

Dividing both sides by 0.06, we get:

80 + N = 80

N = 80

So, there are 80 remaining votes. To find the percentage of these votes that Calvin needs to win, we can set up another equation:

0.47 x (80 + 80) + x/100 x 80

= 0.53 x (80 + 80)

Simplifying this equation, we get:

37.6 + 0.8x = 84.8

Subtracting 37.6 from both sides, we get:

0.8x = 47.2

Dividing both sides by 0.8, we get:

x = 59

So, Calvin needs to win at least 59% of the remaining votes to catch up to Susie in the election.

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Answer:

63%

Step-by-step explanation:

ik

Answer:

There are 2 bottle of 1 pint and 1 bottle of 1 cup.

Step-by-step explanation:

Okay, so first let's look at the conversion factors of these units:

   1 quart=2 pints & 1 quart= 4 cups.

Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all

we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts

we need to buy 2 pints and 1 cup to give us our three quarts.

 Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.

Hope this answer helps you :)

Have a great day

Mark brainliest

The correct option is D. Asking 80 owners their attitude toward a new design would be an example of a sample.

If a target population is defined as all 2,134 pickup truck owners residing in Tippecanoe County, then asking 80 owners their attitude toward a new design would be an example of a sample.

Because the survey is conducted on a limited group of people who represent the larger population. Therefore, the survey conducted on the sample represents the population as a whole. The sample is a representative subset of the entire population, which can be used to infer statistics and characteristics of the whole population. A statistical frame is a technique used to choose a representative sample of the population.

Asking only owners listed in the telephone directory would not be an example of a statistical frame. Instead, it would be an example of a bias selection because it excludes owners who are not listed in the telephone directory. Asking 100 owners their attitude toward a new truck style would not be an example of a consensus as consensus is a general agreement among the people.

However, the survey conducted on a sample can be used to find out a general consensus. Universal testing is not feasible because it would involve surveying each and every member of the population, which is both time-consuming and expensive.

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The complete question is:

Answer: she makes 2 dollars per poster

Step-by-step explanation: Hi :) this is simple math and im glad to help

If you take 10 and divide it by 5 you get 2: giving you the answer. :)

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Step-by-step explanation:

240 miles = 9 gallons of gas

1 mile = 9/240

= 3/80 (0.0375) gallons of gas

216 miles = 3/80 (0.0375) × 216

= 8.1 gallons of gas

C

Step-by-step explanation:

c,c is the answer i think so

Answer:

The answer is option C.

Step-by-step explanation:

Alternate angles are equal y is alternate to 60° so y is 60°

Hope this helps you

Answer:) hope this helps

60

Step-by-step explanation:) hope this helps

C. 60

tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.

Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50.  Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%.  Calculate the test statistic: The test statistic for a two-sample t-test is given by:
    t = (sample mean - hypothesized mean) / (standard error)

 In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size).  In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom:  For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2.  In this case, the sample size is 361.  Determine the critical value:  Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.

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Answer:

\(2\sqrt{33}\).

Step-by-step explanation:

This triangle is a 30-60-90 triangle. That means that the hypotenuse is double the length of the smaller side.

Since the smaller side measures \(\sqrt{33}\), the hypotenuse is \(2\sqrt{33}\).

Hope this helps!

Answer: it’s the second one

Step-by-step explanation:

Jose can plow 7.5 acres of land in an hour. it will take Jose 12 minutes to plow 1.5 acres of land.

To calculate how long will it take Jose to plow 1.5 acres of land, we can use the following steps:

1: Determine the number of acres Jose can plow per minute. Dividing 7.5 acres by 60 minutes will give us the number of acres Jose can plow in 1 minute:7.5 ÷ 60 = 0.125 acres/minute

2. Determine the number of minutes it will take Jose to plow 1.5 acres of land. To calculate the number of minutes, we can divide the number of acres by the acres Jose can plow in 1 minute: 1.5 ÷ 0.125 = 12 minutes

Therefore, it will take Jose 12 minutes to plow 1.5 acres of land.

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First you will get 4dz