\(2x + 3x=-3/4-1/5\)

Answer:

$19.96.

Step-by-step explanation:

Add $5.90+$2.09+$11.97

The value οf sin F is 5/6.

The branch οf Mathematics which helps in dealing with measure οf three sides οf a right-angled triangle is called Trigοnοmetry.

sin θ  = Perpendicular/Hypοtenuse

cοs θ = Base/Hypοtenuse

tan θ = Perpendicular/Base

cοsec θ = Hypοtenuse/Perpendicular

sec θ = Hypοtenuse/Base

cοt θ = Base/Perpendicular

Cοs D = 5/6 (given)

We knοw, cοs θ =Base / Hypοtenuse

Thus, base = 5  and hypοtenuse = 6

Therefοre, DE = 5 and DF = 6

Sin  θ = Perpendicular / Hypοtenuse

Sin F = DE / DF

Sin F = 5/6

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Answer:

Step-by-step explanation:

Let the number be x

The we have below equation to solve for x:

Answer:

C. y=x+4 and y=3x+2

Step-by-step explanation:

A part of math manages the event of an irregular occasion. The value is expressed as a number from 0 to 1. Mathematicians have begun to use the concept of probability to predict the likelihood of certain events.

Data--|--In favor--|---Against---|--Total

Repu--|---21---|--22---|--43

Demo--|---46--|---5---|--51

Other--|---4---|--2---|--6

Total---|--71---|--29---|--100

This is the fundamental theory of probability, which is also used in probability distribution, where you will learn about the possible outcomes of random experiments.

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Answer:

D

Step-by-step explanation:

The correct answer is option (b) 15.125 ft², representing the amount of material required for the patch.

The amount of material required for the patch, which is in the shape of the region defined by the equation y = (1/2)x^3, can be determined by calculating the area under the curve.

The patch's shape is defined by the equation y = (1/2)x^3. To find the area under the curve, we need to integrate the equation with respect to x over the appropriate interval. In this case, we are not given specific limits of integration, so we assume the interval is from x = 0 to x = 3 (based on the curve's shape shown in the equation).

The integral for finding the area under the curve is: A = ∫[0 to 3] (1/2)x^3 dx.

Evaluating the integral, we get: A = [(1/2) * (1/4)x^4] evaluated from 0 to 3.

Plugging in the limits, we have: A = (1/2) * (1/4) * (3^4 - 0^4) = (1/2) * (1/4) * (81 - 0) = (1/2) * (1/4) * 81 = 15.125 ft².

Therefore, the correct answer is option (b) 15.125 ft², representing the amount of material required for the patch.

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Answer:

C. y - 5= 5/3 ( x - 3 )

Step-by-step explanation:

I used a graphing calculator

Therefore, the velocity and acceleration at t = 10 seconds are 1380 m/s and 288 m/s², respectively.

Given S is a speed function defined by S=5 t³-6 t²+7, t is time in seconds

To find:

Velocity and Acceleration at t = 10 seconds.1. The velocity of a particle is given by the derivative of its displacement function.

So, differentiate the given speed function S(t) to obtain the velocity function:

v(t) = dS/dt = 15t² - 12t2. The acceleration of the particle is the derivative of the velocity function.

Differentiate v(t) to obtain the acceleration function:

a(t) = dv/dt = 30t - 12Thus, we have:v(t) = 15t² - 12t  and a(t) = 30t - 12.3.

At t = 10 seconds:

v(10) = 15(10)² - 12(10) = 1380 m/sa(10) = 30(10) - 12 = 288 m/s²

So, the velocity of the particle at t = 10 seconds is 1380 m/s, and the acceleration is 288 m/s².Therefore, the velocity and acceleration at t = 10 seconds are 1380 m/s and 288 m/s², respectively.

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Answer:

yes

Step-by-step explanation:

Therefore , rounding to the nearest fraction whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction.

Here,

Out of 112 visitors to the website (9 + 95 + 8), 95 purchased exactly one costume.

So the proportion of visitors who purchased exactly one costume is:

95/112 ≈ 0.848

To estimate how many visitors out of 2000 would purchase exactly one costume, we can multiply the proportion by 2000:

0.848 x 2000 ≈ 1696

Rounding to the nearest whole number, we would expect about 1696 visitors to purchase exactly one costume next week.

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Answer:

Yasmin will spend $6

Nadia will spend $5.9

Step-by-step explanation:

Step one:

the cost of 5 jars at Central market is $3

the cost of 1 jar = 3/5= $0.6

60 cents per jar

we are told that Valley Market sells jars of jam at 59 cents per jar.

$0.59

Step two:

If Yasmin buys 10 jars from Central Market,

Yasmin will spend = 10*0.6= $6

If Nadia buys 10 jars from Valley Market.

Nadia will spend = 10*0.59= $5.9

The market difference is 6-5.9= $0.1

Answer:

75 geese

Step-by-step explanation:

Lets first calculate how many birds and turkeys there are to subtract from the 180 chickens.

1/3 x 180 = 60

1/4 x 180 = 45

The amount of chickens and turkeys combined is:

60 + 45

105

180 - 105 = 75

75 remaining

Answer:

Step-by-step explanation: since the 1.5 is suppose to be on the x axis, you plot the point between 1 and 2. Ten you go down to the y axis since it is negative and plot it between -2 and -3.

click the file below to see the answer:

The inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Generally, the method of calculating an inverse is swapping of coordinates x and y. This newly created inverse is a relation but not necessarily a function. The original function has to be a one-to-one function to assure that its inverse will also be a function.

Therefore, the inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

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Answer:

14, 16, and 18

Step-by-step explanation:

hope this helps!

Answer:

Suppose $100 is invested in each of these three accounts. After one year:

Account A: $100(1.12) = $112

Account B: $100(1.11) = $111

Account C: $100(1 + (.1075/2))^2 = $110.04

Account A has the most money after one year, so the amount should be invested in account A.

Answer:

3.71/15= 0.24733

1 lbs of potatoes= 0.25 cents

Answer:

a = 31

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

a + 48 is an external angle of the triangle, thus

a + 48 = a + 2 + a + 15, that is

a + 48 = 2a + 17 ( subtract a from both sides )

48 = a + 17 ( subtract 17 from both sides )

31 = a

Answer:

a=31 degrees

Step-by-step explanation:

Use the remote interior angles theorem. a+48=a+2+a+15. That simplifies to a+48=2a+17. a=31 degrees. Hope this helps :D

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

Step-by-step explanation:

this is what I found hope it helps you °~°

The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³

³ is the highest degree in the given expression.

_____

Hope it helps ⚜

Answer:

3

Step-by-step explanation:

The value of p is 0.18.

The value of \(\bar{p}\) (p with a hat on top) is 0.21.

The standard deviation of the sampling distribution of \(\bar{p}\) is approximately 0.024.

No, this school does not have an unusually high proportion of students that are vegetarian.

In this scenario, p represents the true population proportion of undergraduates in California colleges and universities who are vegetarians. The given information states that 18% (or 0.18) of all undergraduates are vegetarians.

\(\bar{p}\) (p with a hat on top) represents the sample proportion of vegetarians in the random sample drawn by the cafeteria management. They selected 300 students, and out of those, 63 identified as vegetarians. To calculate \(\bar{p}\) , we divide the number of vegetarians in the sample (63) by the sample size (300).

Therefore, \(\bar{p}\) = 63/300 ≈ 0.21.

The standard deviation of the sampling distribution of \(\bar{p}\), denoted as σ(\(\bar{p}\)), is calculated using the formula: σ(\(\bar{p}\)) = √[(p * (1 - p)) / n], where p is the true population proportion, and n is the sample size.

In this case, σ(\(\bar{p}\)) ≈ √[(0.18 * (1 - 0.18)) / 300] ≈ 0.024.

To determine if the school has an unusually high proportion of vegetarian students, we compare the sample proportion (\(\bar{p}\)) with the population proportion (p). Since \(\bar{p}\) (0.21) is greater than p (0.18), we can conclude that the observed proportion of vegetarians in the sample is higher than the expected population proportion.

However, without further context or a specific criterion for what constitutes "unusually high," we cannot definitively state whether the school's proportion of vegetarian students is considered unusually high.

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The probability that a high school junior will take less than 135 minutes to complete the SAT exam is 0.5745.

To determine the probability, the standard normal distribution table or calculator is utilized.

The standard normal distribution table, also known as the z-score table, is used to find the probability of a certain z-score or a range of z-scores.

The SAT exam's time is normally distributed, with a mean of 150 minutes and a standard deviation of 25 minutes.The formula for z-score is as follows:

z=(x-μ)/σ

Where x is the time to complete the SAT exam, μ is the mean of the time to complete the SAT exam, and σ is the standard deviation of the time to complete the SAT exam.

To calculate the z-score, the time of 135 minutes is substituted for x, the mean μ of 150 minutes is substituted for μ, and the standard deviation σ of 25 minutes is substituted for σ.The computation is as follows:

z=(135-150)/25= -0.60

Using the standard normal distribution table, the probability of getting a z-score of -0.60 is 0.2743.

To obtain the probability that a high school junior will complete the SAT exam in less than 135 minutes, the area under the standard normal curve to the left of z = -0.60 must be computed. Because the normal curve is symmetrical, the region to the right of z = -0.60 is equal to 1 - 0.2743 = 0.7257.

Finally, to obtain the region to the left of z = -0.60, 0.7257 must be subtracted from 1:1 - 0.7257 = 0.2743

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(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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The derivative of the given function y = (3x + 5)/(2x - 7)⁴ is (-18x - 61)/(2x - 7)⁵.

Given the function is,

y = (3x + 5)/(2x - 7)⁴

Taking logarithm function on both sides we get,

log y = log [(3x + 5)/(2x - 7)⁴]

log y = log (3x + 5) - log (2x - 7)⁴

log y = log (3x + 5) - 4 log (2x - 7)

Differentiating with respect to 'x' we get,

(1/y) * (dy/dx) = (1/(3x + 5)) * 3 - 4 * (1/(2x - 7)) * 2

dy/dx = y [3/(3x + 5) - 8/(2x - 7)] = {y/[(3x + 5) (2x - 7)]} * {6x - 21 - 24x - 40} = {y/[(3x + 5) (2x - 7)]} * (-18x - 61)

Putting the value of y we get,

dy/dx = (-18x - 61)/(2x - 7)⁵

Hence the derivative of the given function is (-18x - 61)/(2x - 7)⁵.

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The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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