how do you Write sin34 in terms of cosine.

The rate of the toy train in miles per hour is approximately 0.00041667 miles/hour.

To convert the rate from feet per minute to miles per hour, we need to convert feet to miles and minutes to hours.

1 mile is equal to 5280 feet. So, we can divide the rate in feet per minute (132 feet/minute) by 5280 to get the rate in miles per minute.

132 feet/minute ÷ 5280 feet/mile = 0.025 miles/minute

Next, we need to convert minutes to hours. There are 60 minutes in an hour, so we can divide the rate in miles per minute (0.025 miles/minute) by 60 to get the rate in miles per hour.

0.025 miles/minute ÷ 60 minutes/hour

= 0.00041667 miles/hour

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Answer:

4-25

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

-12 x -2 = 24. 24-16=8

Answer:

176•74

Step-by-step explanation:

area of circle is πr^2

π=3•142

r=7•5

3•142×7•5×7•5

=176•737

176•74

Answer:

(x-8, y)

Step-by-step explanation:

The y-value stays the same, while the entire graph is moving 8 to the left.

(See attached file for the plot!)

Description:

Point Z is located in Quadrant III of the coordinate plane

It is 4 units to the left

It is 5 units down

Is this satisfactory enough? Let me know if it helped!

Answer:

7.3333, so if you round down, 7.

Step-by-step explanation:

5 1/2 divided by 3/4 is 7.3333

The correct answer is 33 m at 252 degrees, 16.1 m at 239 degrees, and 16 m at 240 degrees. It should be noted that the angle values of 239 degrees and 240 degrees are close to the angle value obtained for the resultant vector.

Two vectors, vector A and vector B, are given with their respective magnitudes and directions. The main idea is to add the two vectors using trigonometry to obtain the resultant vector. The vectors can be represented in the form of (magnitude, angle), where the magnitude is given in meters and the angle is given in degrees. Using the law of cosines, we can add the two vectors to obtain the resultant vector as:

R² = A² + B² - 2ABcos(θB - θA)R² = (15²) + (30²) - 2(15)(30)cos(224° - 28°)R² = 225 + 900 - 2(450)(-0.882)R² = 225 + 900 + 788.4R² = 1913.4R = √(1913.4)R = 43.77 m. The direction θR of the resultant vector is:tanθR = (A sinθA + B sinθB)/(A cosθA + B cosθB)tanθR = (15 sin28° + 30 sin224°)/(15 cos28° + 30 cos224°)tanθR = 0.5905θR = tan⁻¹(0.5905)θR = 29.75° or 206.25

°However, the given answer choices are not in the same format as the answer obtained above. We can convert the answer obtained above to the format given in the answer choices as follows:43.77 m at 206.25° (rounded to 2 decimal places)Therefore, the correct answer is 33 m at 252 degrees, 16.1 m at 239 degrees, and 16 m at 240 degrees. It should be noted that the angle values of 239 degrees and 240 degrees are close to the angle value obtained for the resultant vector.

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Answer:

-h - 6

Step-by-step explanation:

(6h + 2) + (-7h - 8) <== remove parenthesis

6h + 2 - 7h - 8 <== combine like terms

6h - 7h + 2 - 8

-h - 6

Hope this helps!

Answer:2

Step-by-step explanation:

Answer: 1

Step-by-step explanation: You can do this by writing it all out.

The frequency tells you how many of the number there are.

Eg. there are 9 0s because it says it on the table.

So you would write

0,0,0,0,0,0,0,0,0,1,1,1,1,1,2,2,2,2,2,2,2,3,4,4,4

Cancel one number from both sides going into the middle until.

Median = 1

Given that a sofa is on sale for $363, which is 34% less than the regular price.

To determine: The regular price.

Let the regular price be Y. If the regular price is Y, then the 34%regular price would be

It should be noted that the 34 % less the regular price is the price on sale. Then,

Hence, the regular price of the sofa is $550

Answer:

the actual answer is B.) 4

Step-by-step explanation:

just took the topic test

Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Two triangles are similar but not congruent if they have three congruent angles but the side lengths are not equal.

What is the congruency of triangles?

To show how can the triangles be proven similar by the SSS similarity theorem:

The two triangles can be shown to be similar given that the ratios of the corresponding sides ΔWUV and ΔYXZ are constant

Reason:

Known parameters are:

ΔWUV and ΔXZY are shown:

∠VUW ≅ ∠YXZ

∠UWV ≅ ∠XZY

∠UVW ≅ ∠ZYX

Length of side VW = 60

Length of side VU = 50

Length of side UW = 40

Length of side  ZY = 48

Length of side  YX = 40

Length of side  XZ = 32

The ratio of the sides are:

\(\frac{VW}{ZY} =\frac{60}{48} =\frac{5}{4} \\\frac{VU}{YX} =\frac{50}{40} =\frac{5}{4} \\\frac{UW}{XZ} =\frac{40}{32} =\frac{5}{4}\)

Therefore, given that  the angles of ΔWUV and ΔXZY are all congruent, and the sides of triangle ΔWUV and ΔXZY have a constant proportion, we have that the two triangles are congruent by the Side-Side-Side SSS congruency theorem,  and we have:

ΔWUV ~ ΔYXZ given that ΔYXZ is a scaled drawing of ΔWUV.

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The complete question is given here:

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

If we change the 0's to negative numbers then the average, median and SD. The average would b) decrease.

The average value calculated within a specific data set is referred to as the "mean.". This calculation can be used in any situation where knowing a data set's average value, such as its cost or income, may be deemed as useful.

By being aware of the average cost or income within a given data set, you can better position yourself to increase your profits or savings.

A normal distribution can have a mean that is negative in nature. When only some of the data points have negative values, this is both a possibility and a foregone conclusion;

however, if all of the data points have negative values as nature it should be noted that if a normal distribution has a negative mean, at least half of the data points in the distribution must also have a negative mean.

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Note that the full question is:

some of the girls with 0 weight gain actually lost weight. if we changed their 0's to negative numbers how would the average, median and sd change? the average would

a) increase

b) decrease

c) stay the same

None of the given options are matching. For the expression after putting the value 2 on the place of x. We will get 10 for expression 1 and 0 for the expression 2.

We do same operations on both the sides so that equality of both expressions doesn't get disturbed.

Solving equations generally means finding the values of the variables used in it for which the considered equation is true.

The given equation is;

Equation 1;

\(\rm 3x+4\)

Equation 2;

\(x+6-3x-2\)

After putting the value 2 on the place of x we get;

Equation 1;

\(\rm = 3x+4\)

\(=3 \times 2+4 \\ =10\)

Equation 2;

\(= x+6-3x-2\\\\\ =2+6-3\times 2-2 \\\\ =2+6-6-2\\\\ =8-6-2 \\\\ = 0\)

Hence, the none of the given options are matching.

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Answer:

Step-by-step explanation:

The proper loop condition test to quit iterating if x < 10 and y > 3 would be:

while (!(x < 10 && y > 3))

This condition will be true as long as either x is not less than 10 or y is not greater than 3. Once both conditions are met, the loop will exit.

The output of the code fragment would be:

"That is all. Goodbye"

Since the condition "x > 5" in the if statement is not true (x is equal to 5), the printf statement inside the if block will not be executed. The following printf statements outside the if block will be executed and will print the corresponding text.

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The most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system is D) a random sample of 100 people from an alphabetical list of all adults who live in the town.

A random sample is needed to ensure that each member of the population has an equal chance of being included in the sample. Among the given options, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate because it is a representative sample of the entire population of adults in the town.

The other options have potential sources of bias, as follows:

A random sample of 250 names from the local phone book may exclude people who do not have a phone or whose numbers are unlisted.

A random sample of 200 parents whose children attend one of the local schools may be biased towards those who have children in the school system, which may not accurately represent the views of all adults in the town.

A sample consisting of 500 people from the city who take an online survey about the issue may only capture the opinions of those who have access to the internet and are willing to participate in the survey, which may not represent the views of all adults in the town.

A random sample of 300 homeowners in the town may be biased towards those who own homes, which may not represent the views of all adults in the town.

Therefore, a random sample of 100 people from an alphabetical list of all adults who live in the town is the most appropriate sampling plan for estimating the proportion of all adults in the medium-sized town who favor a tax increase to support the local school system. So d is correct option.

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In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

The answer is 8 divided by 3

The binomial distribution approximates a normal distribution under the following circumstance: a. When npq > 10,

where n is the sample size, p is the probability of success, and q is the probability of failure. When npq > 10, the binomial distribution is approximately normal with a mean of np and a standard deviation of sqrt(npq).

Binomial distribution is a probability distribution that describes the probability of a certain number of successes in a fixed number of independent trials, each with the same probability of success. The trials can be either "success" or "failure" events, and the probability of success is denoted by p. The binomial distribution is described by two parameters: n, the number of trials, and p, the probability of success in each trial.

The probability mass function of the binomial distribution is given by the formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable denoting the number of successes, k is the number of successes, n is the number of trials, p is the probability of success in each trial, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

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The graph of the continuous exponential function f(x) with the given values of x and f(x) is as follows:

The y-intercept of the function f(x) is the value of f(x) when x = 0. Therefore, the answer is 0.option(a)

However, we can't calculate the y-intercept directly from the given data because the function is only defined for positive values of x.

To estimate the value of the y-intercept, we can look at the graph and notice that the curve appears to be very steep and is increasing rapidly.

This indicates that the y-intercept is probably close to zero.
The graph of the continuous exponential function f(x) with the given values of x and f(x) shows a curve that is increasing rapidly as x increases.

This indicates that the function is an exponential growth function with a base greater than 1.The equation for an exponential growth function with base b and initial value a is given by:

f(x) = a * b^x

We can use the given data to find the base b by using the formula:

\(f(3)/f(2) = b^1f(4)/f(3) = b^1f(5)/f(4) = b^1\)

Substituting the given values of f(x), we get:

\(24/12 = b^1 = b48/24 = b^1 = b296/48 = b^1 = b\)

Simplifying each equation, we get:b = 2 for all three equations

Therefore, the equation for the function is: \(f(x) = 12 * 2^x\). option(a)

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Answer:

27 1/12 %

Step-by-step explanation:

discount=1200-875=325

discount %=325/1200 ×100=325/12=27 1/12

8y - 2y = 24

a)

The x intercept is when y = 0; if we use the equation when y = 0:

8x - 2(0) = 24 ==> 8x = 24 ==> x = 24/8 ==> x = 3

So the fist answer is TRUE

b)

The y intercept is when x = 0; if we use the equation with x = 0:

8(0) - 2y = 24 ==> -2y = 24 ==> y = 24/(-2) ==> y = -12

So the second answer is FALSE

c)

if we take the equation and solve it for y:

8x - 2y = 24 ==> 8x - 24 = 2y ==> (8x - 24)/2 = y ==> 4x - 12 = y ==> y = 4x -12

So the third answer is TRUE

Answer:

Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.

After 10 years the population growth will be 3054, if the population doubles after every 17 years.

A mathematical function with the form f (x) = ae^x is an exponential function. "x" is a variable, and "a" is a constant that serves as the function's base and must be greater than 0. The transcendental number e, or roughly 2.71828, is the base for exponential functions that is most frequently used.

Growth rate = 100% in 17 years

  In 1 year = 5.88% growth

Initial population = P₀ = 1725

Time = 17 years

So, after 10 years population

        P= P₀ ( 1 + \(\frac{r}{100}\))^t

           = 1725 ( 1 + 5.88/100 )^10

           =≈ 1725 * 1.77

           =≈ 3054

Hence, the population growth after 10 years at the rate of 5.88 % would be 3054.

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Answer:

they are 11 pints vertically apart and 3 points horizontally apart.

Step-by-step explanation: