4 tan 45°+(2 sin 45°)(6 kos 45°)​

Answer:

volume of this sphere is 500 cm³

Step-by-step explanation:

\(V=\frac{4}{3} \pi r^{3}\)

here 3 for π

\(V=\frac{4}{3}* 3* 5^{3}\)

\(V = 500 cm^{3}\)

Answer:

Step-by-step explanation:

\(\sqrt{g}\) = 7-w

(\(\sqrt{g}\) )^2 = (7-w)^2

g = (7-w)^2

The equation that provides the number of years since the car was purchased in terms of its value is (v/2000) - 8.5

In algebra questions, values that are ambiguous or subject to change are represented by letters or symbols.

When it comes to solving for an unknown variable, algebra becomes very useful.

For example, how much money will I save if item retailing for $20 is offered at a 10% discount?

Savings = Full Price * Discount = $20 * 10% = $2

or I spent $30 on items, with each item costing $5, how many items should I have?

Total = No. Items * Item Price

$30 = No. Items * $5

No. Items = Total / Item Price

No. Items = 6

Let the number of years = t

v = 17000 - 2000t

Value = 17000 by row/year

(v - 17000)/2000 = t

Therefore,

t = (v/2000) - 8.5

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For f(x) to be a valid probability mass function, it must satisfy the following conditions:

f(x) ≥ 0 for all x

Σ f(x) = 1 over all possible values of x

Let's check these conditions:

For x = 1, 2, 3, ..., we have (1/3)^X ≥ 0, so f(x) ≥ 0 for all x.

Σ f(x) = a Σ (1/3)^X = a (1 + 1/3 + 1/9 + ...) = a (3/2) (geometric series with r = 1/3 and a = 1), which converges to a (3/2)/(1-1/3) = a (3/2)/(2/3) = a (9/4). For this to equal 1, we need:

a (9/4) = 1

a = 4/9

Therefore, the value of a for f(x) to be a valid probability function is 4/9.

To be a valid probability function, the sum of probabilities for all possible values of X should be equal to 1. So, we need to find the value of a such that the sum of probabilities is equal to 1.

Let's first find the sum of probabilities for all possible values of X:

∑f(x) = ∑a(1/3)^X = a(1/3)^1 + a(1/3)^2 + a(1/3)^3 + ...

This is an infinite geometric series with first term a(1/3)^1 and common ratio (1/3). The sum of an infinite geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

So, for our series, we have:

∑f(x) = a(1/3)^1 + a(1/3)^2 + a(1/3)^3 + ... = a / (1 - 1/3) = a / (2/3) = (3/2)a

Now, we want this sum to be equal to 1, so:

(3/2)a = 1

a = 2/3

Therefore, the value of a for this to be a valid probability function is 2/3.

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The margin of error of the random selection is 0.29

The given parameters are:

\(n = 320\) --- the sample size

\(\sigma = 2.9\) --- the standard deviation

\(\bar x = 24\) --- the mean

\(\alpha = 90\%\) --- the confidence level.

The margin of error (E) is calculated as follows:

\(E = z \times \sqrt{\frac{\sigma^2}{n}}\)

So, we have:

\(E = z \times \sqrt{\frac{3.2^2}{320}}\)

\(E = z \times \sqrt{\frac{10.24}{320}}\)

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

\(E = 1.645 \times \sqrt{\frac{10.24}{320}}\)

\(E = 1.645 \times \sqrt{0.032}\)

Take square roots

\(E = 1.645 \times 0.1789\)

Multiply

\(E = 0.2943\)

Approximate

\(E = 0.29\)

Hence, the margin of error is 0.29

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Answer:

The graph touches the x axis at x = 0 and crosses the x axis at x = 5 and x = -2.

Step-by-step explanation:

The congruence theorem that would best prove the congruence of the triangles is SAS that is Side-Angle-Side.

What is congruence theorem?

Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another.

The figure, in this case a triangle, is congruent if and only if the corresponding sides and angles are equal in measurement. In this case we have BC being common to both triangles. Thus, one pair of corresponding sides is equal. Next, we have another pair of corresponding sides that are equal, AC and DC. Lastly, we have the included angles being equal to each other. Thus, the congruence theorem that would best prove the congruence of the triangles is SAS that is Side-Angle-Side.

Complete question: Triangles ABC and DBC have the following characteristics: BC is a side of both triangles ∠ACB and ∠DCB are right angles AC ≅ DC Which congruence theorem can be used to prove △ABC ≅ △DBC?

AAS

SSS

HL

SAS

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The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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The radius of the cylindrical cup, rounded to the nearest tenth, is 3.2 cm.

To find the radius of the cylindrical cup, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given:

Height = 12 cm

Volume = 780 cubic cm

We can rearrange the formula to solve for the radius:

radius^2 = Volume / (π * height)

Substituting the given values:

radius^2 = 780 / (π * 12)

To find the radius, we take the square root of both sides:

radius = √(780 / (π * 12))

Using a calculator, we can calculate the radius:

radius ≈ 3.15 cm

Rounding to the nearest tenth, the radius is approximately 3.2 cm.

Therefore, the radius of the cylindrical cup, rounded to the nearest tenth, is 3.2 cm.

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The main advantage of an independent measures design is that it reduces the risk of order or practice effects and minimizes the influence of individual differences between participant

An independent measures design, also known as a between-subjects design, is a type of research study in which different groups of participants are used for each condition being tested.

In other words, each participant is only exposed to one condition, and the data from each group is analyzed and compared to determine if there are any significant differences between the groups.

The main characteristics of an independent measures design are:

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a) We would need to perform about 845 tests to find 650 acceptable circuits on average.

b) The probability of finding at least 650 acceptable circuits in a batch of 845 circuits is approximately 0.4758.

a)The probability of passing the quality test is 0.77. Therefore, the probability of failure is 1 - 0.77 = 0.23. Let X denote the number of tests required to find 650 acceptable circuits.The expected number of tests needed to find 1 acceptable circuit can be computed as E(X) = 1/p where p is the probability of success (in this case, p = 0.77). Therefore, we have E(X) = 1/0.77 = 1.2987012987.Then, we can use the formula for the expected value of a binomial distribution to find the expected number of tests necessary to find 650 acceptable circuits: E(X) = n * p, where n is the number of trials (tests) and p is the probability of success. Solving for n, we get:n * 0.77 = 6501n = 650/0.77n ≈ 844.1564Therefore, we would need to perform about 845 tests to find 650 acceptable circuits on average.b)The sample size is n = 845 and the probability of success is p = 0.77. Let X be the number of acceptable circuits in the sample. Then X follows a binomial distribution with mean μ = np = 845 * 0.77 = 650.65 and variance σ² = np(1 - p) = 845 * 0.77 * 0.23 ≈ 151.0035.Using the central limit theorem, we can approximate X with a normal distribution. That is, X ~ N(650.65, 12.276). Then, we have:P(X ≥ 650) = P(Z ≥ (650 - 650.65)/sqrt(151.0035))= P(Z ≥ -0.4338), where Z is a standard normal random variable with mean 0 and standard deviation 1.We can use a standard normal table to find that P(Z ≥ -0.4338) = 0.6664.Using continuity correction, we adjust this probability to account for the fact that X is a discrete random variable:P(X ≥ 650) ≈ P(Z ≥ -0.4338 + 0.5) = P(Z ≥ 0.0662) ≈ 0.4758.Therefore, the probability of finding at least 650 acceptable circuits in a batch of 845 circuits is approximately 0.4758.

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Answer:

i think it is A parallelogram

The ounces of coffee the patient have each day is 24 oz.

A difference among starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Some characteristics of percentage change are-

Calculation for the coffee that the patient consume each day,

Determination for the coffee he consumes daily.

4 cups x 8 oz = 32 oz

Now, multiply the outcome by the decimal equivalent of the percentage (i.e., 25% = 25/100).

32 x (25/100) = 8

Finally, remove the percentage from the weekly coffee consumption.

32-8 = 24 oz per day

Therefore, the consumption of the coffee by the patient reduced to 24 oz per day from 32 oz per day.

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Answer:

20 miles

Step-by-step explanation:

He already ran 14 miles on his own, so we have to multiply 3 and 2, which would equal 6. Then we're left with 14+6 = 20

T determine which store offers the lowest unit rate for onions ($/pound) you have to express calculate the price per pound for each grocery store and then compere the results.

To calculate the price per pound you can use corss multiplication

Farm Fresh

4pounds _____$3.20

1pound____$x

The onions cost $0.80 per pound

Mother nature

1/3pound ____$1/4

1pound____$x

The onions cost $1.33 per pound

Hobson's

2pounds_____$1.70

1pound____$x

The onions cost $0.82 per pound

Veggie Delight

$0.70 per pound

To determine the minimum number of terms we need to add in order to find the sum of the series with an error less than 0.0001, we can use the Alternating Series Estimation Theorem.

The Alternating Series Estimation Theorem is a useful tool for approximating the sum of an alternating series and determining the accuracy of the approximation. An alternating series is a series in which the terms alternate in sign, such as (-1)^n or (-1)^(n+1).

To use the Alternating Series Estimation Theorem, we need to check two conditions. Firstly, we verify that the series is convergent, meaning that the partial sums of the series approach a finite limit as the number of terms increases. If the series is not convergent, this estimation method cannot be applied.

Once we have established that the series is convergent, we can use the theorem to determine the minimum number of terms required to achieve a desired level of accuracy. The theorem tells us that the error in approximating the sum of the series using a partial sum is less than or equal to the absolute value of the first omitted term.

In our case, we want the error to be less than 0.0001. By finding the absolute value of the first omitted term, we can determine how many terms we need to add to the partial sum in order to achieve this desired level of accuracy. This will give us the minimum number of terms required to obtain the sum with an error less than 0.0001.

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Answer:

Linear Regression: y = 0x + 2.67

Quadratic Regression: y = 1x^2 + 0x - 4

Step-by-step explanation:

USE STATS CALCULATOR

Answer: what grade u in?

Step-by-step explanation:

( 80/100) × A = ( 40/100 ) × B

Divide both sides by 40/100

( 80A/100 )÷( 40/100 ) = ( 40B/100 )÷(40/100 )

2A = B

Divide both sides by A

2A ÷ A = B ÷ A

2 = B/A

B/A = 2 × 100

B/A = 200 %

Answer:

200%

Step-by-step explanation:

Because I answered the question correctly.

Model: S(t) = 5000 + 3000t. With a starting value of 5000 subscribers in 1970 and a steady rise of 3000 subscribers each year, this model predicts a linear increase in the number of subscribers through time.

With a starting value of 5000 subscribers in 1970 and a steady rise of 3000 subscribers each year, this model predicts a linear increase in the number of subscribers through time. Simply enter the value of t into the equation to get the number of subscribers after t years. For example, if you want to know the number of subscribers in 1990, which is 20 years after 1970, you would enter in t=20 into the equation and obtain S(20) = 5000 + 3000(20) = 65000. As a result, our model predicts that there would be 65,000 members in 1990. It's crucial to note that this is a simplified model and may not adequately reflect the genuine behaviour of subscriber growth over time.

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The end behavior of the Polynomial f(x) = -4x⁶ + 6x² - 52 is;

B. f(x) is an even function so both ends of the graph go in the same

direction

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

Now, we are given the polynomial;

f(x) = -4x⁶ + 6x² - 52

Let us first test if the polynomial is even;

f(1) = -4(1)⁶ + 6(1)² - 52

f(1) = -50

Similarly;

f(-1) = -4(-1)⁶ + 6(-1)² - 52

f(-1) = -50

Since f(1) = f(-1), we can say that both ends of the graph go in opposite

directions.

Lastly, the leading coefficient is negative because it is -4 and as such it means that the left end goes down.

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From the table, we have:

• The first column (Value),: indicates the # of correct answers,

• The second column (Frequency),: indicates the # of students that answer the # of correct answers to the left in the table,

• The third column (Relative Frequency),: indicates the proportion of the # of students to the total,

• The fourth column (Cumulative Frequency),: gives the sum of the previous frequencies up to that row.

Using these data, we answer the questions:

a) Looking at the column Frequency for Value = 3, we find that 2 students answered exactly 3 answers correct.

b) Looking at the column Cumulative Frequency for Value = 2 (the previous value to 3), we find that 18 students answered less than 3 questions correctly.

c) Looking at the column Relative Frequency for Value = 4, we find that 0.3 = 0.3 * 100% = 30% of the students answered exactly 4 questions correctly.

a) 2

b) 18

c) 30%

a) There are 6 possible samples. b) The population mean is 23.5 and Distribution of Sample Mean is 23.5.

To find all samples of size 2 from the given population, we can select two values at a time without replacement. Let's list all the possible samples and compute the mean of each sample:

Sample 1: {32, 12}

Mean: (32 + 12) / 2 = 22

Sample 2: {32, 34}

Mean: (32 + 34) / 2 = 33

Sample 3: {32, 16}

Mean: (32 + 16) / 2 = 24

Sample 4: {12, 34}

Mean: (12 + 34) / 2 = 23

Sample 5: {12, 16}

Mean: (12 + 16) / 2 = 14

Sample 6: {34, 16}

Mean: (34 + 16) / 2 = 25

Next, let's compute the mean of the distribution of the sample mean and the population mean:

The population mean is the mean of the entire population, which is calculated by summing all the values and dividing by the total number of values:

Population Mean = (32 + 12 + 34 + 16) / 4 = 94 / 4 = 23.5

To find the mean of the distribution of the sample mean, we calculate the mean of the means of all possible samples. Since we have 6 samples, we sum the means of all samples and divide by the total number of samples:

Distribution of Sample Mean = (22 + 33 + 24 + 23 + 14 + 25) / 6 = 141 / 6 ≈ 23.5

Comparing the mean of the distribution of the sample mean (approximately 23.5) with the population mean (23.5), we can observe that they are equal. This is expected because the mean of the distribution of the sample mean is an unbiased estimator of the population mean when the samples are selected randomly and without replacement.

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For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.

The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.

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Answer:

C= 70.4

Step-by-step explanation:

The formula of finding the circumference: C=2πr

Therefore, C=2(3.142)(11.2)

C= 6.284*11.2

C= 70.4

The statement is false because with the conditions, graph of polynomial function is curve with both ends pointing upwards, positive y-intercept indicates that at least part of curve lies above x-axis. Correct answer is C.

A polynomial function of even degree with a negative leading coefficient will have its end behavior determined by the degree and parity of the polynomial. For even-degree polynomials with a negative leading coefficient, both ends of the graph will point upwards.

The positive y-value for the y-intercept indicates that the polynomial function has at least part of the curve lying above the x-axis.

Since the graph of the polynomial function does not intersect the x-axis, it means that there are no real zeros. The statement incorrectly assumes that the positive y-intercept and negative leading coefficient guarantee the existence of at least two real zeros.

So, the correct option is C.

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Therefore, the limit of the function f(T) as T approaches 3 is equal to 18.

To find the limit as T approaches 3 for the function f(T) = 9(T-1)(T-2), we substitute T = 3 into the function:

lim(T→3) 9(T-1)(T-2) = 9(3-1)(3-2)

= 9(2)(1)

= 18

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Information for use to find out if a source is credible when researching the health benefits of standing desks study sample size and article publication date is study sample size and article publication date.

Study sample size is an important factor in determining the credibility of research because a larger sample size increases the power of the study and reduces the likelihood of random error.

Article publication date is also important because research on a topic can become outdated over time and newer studies may have different or more robust findings.

A website popularity or positive product reviews do not necessarily indicate the credibility of the source or the validity of the research. A friend's story about her standing desk is also not considered a credible source of information in scientific research.

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