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To express the polynomial 4a^3 + a^2 - 6a^5 + 2a^3 - 4a + 1 in standard form, which terms should be combined?

Answers

Answer 1

Answer:

Answer:

4a^3 and 2a^3

Step-by-step explanation:

you always start by combining like terms

Answer 2

Answer:

Answer:

Step-by-step explanation:

-6a^5+6a^3+a^2-4a+1

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Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed below are the measured radiation absorption rates (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?0.950.950.730.730.630.630.910.911.321.321.481.480.630.631.231.230.910.911.411.41 0.670.67The range of the sample data isnothing▼(Round to three decimal places as needed.)Sample standarddeviationequals=nothing▼kg.kg.left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.W.W.Upper W divided by kg.W/kg.(Round to three decimal places as needed.)Samplevarianceequals=nothing▼kg.kg.left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.Upper W divided by kg.W/kg.W.W.(Round to three decimal places as needed.)If one of each model is measured for radiation and the results are used to find the measures of variation, are the results typical of the population of cell phones that are in use?A. No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.B. Yes, because the results from any sample of cell phones will be typical of the population.C. Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Find the exact values of the six trigonometric functions of given the point (-4, 5) on the terminal side of in standard position.

Answers

Answer:

$\sin(\theta)=5√(41)/41\text{ and } \csc(\theta)=√(41)/5\n\cos(\theta)=-4√(41)/41\text{ and } \sec(\theta)=-√(41)/4\n\tan(\theta)=-5/4\text{ and } \cot(\theta)=-4/5$

Step-by-step explanation:

Please refer to the attached figure.

So, we can see that our angle θ is in QII.

Recall All Students Take Calculus. Since this is QII, we use the Students. In other words, only sine (and cosecant) is positive. So, cosine and tangent are negative.

Now, we also know that a point is (-4,5). Referring to our figure, this means that our adjacent side is 4 (technically -4, but we can ignore this) and our opposite side is 5. So, to find the other ratios, let's find the hypotenuse.

Use the Pythagorean Theorem:

$a^2+b^2=c^2$

Substitute 4 for a and b for 5. Solve for c. So:

$4^2+5^2=c^2$

Square:

$16+25=c^2$

Add:

$c^2=41$

Take the square root:

$c=√(41)$

So, our side lengths are: Opposite=5; Adjacent=4; and Hypotenuse=√41.

Now, we can find our side lengths.

Sine and Cosecant:

$\sin(\theta)=opp/hyp$

Substitute 5 for Opp and √41 for Hyp. So:

$\sin(\theta)=5/√(41)$

Rationalize:

$\sin(\theta)=5√(41)/41$

Since our angle is in QII, sine stays positive.

Cosecant is the reciprocal of sine. So:

$\csc(\theta)=√(41)/5$

Cosine and Secant:

$\cos(\theta)=adj/hyp$

Substitute 4 for Adj and √41 for Hyp:

$\cos(\theta)=4/√(41)$

Rationalize:

$\cos(\theta)=4√(41)/41$

Since our angle is in QII, cosine is negative. So:

$\cos(\theta)=-4√(41)/41$

Secant is the reciprocal of cosine. So:

$\sec(\theta)=-√(41)/4$

Tangent and Cotangent:

$\tan(\theta)=opp/adj$

Substitute 5 for Opp and 4 for Adj. So:

$\tan(\theta)=5/4$

Since our angle is in QII, tangent is negative. So:

$\tan(\theta)=-5/4$

Cotangent is the reciprocal of tangent:

$\cot(\theta)=-4/5$

And we are finished!

Final answer:

Using the given point (-4,5) in standard position, first calculate the radius using the Pythagorean theorem. Then, calculate each of the six trigonometric functions using the coordinates and the calculated radius.

Explanation:

The given point is (-4,5). In the standard position, the x-coordinate represents the cosine of the angle, while the y-coordinate represents the sin of the angle. However, we need to find the radius (r), which can be found using Pythagorean theorem:

r = sqrt(x

+ y

)

meaning, r = sqrt((-4)

+ 5

) = sqrt(41).

Now, each of the six trigonometric functions can be calculated as follows:

Sine (Sin θ = y/r): Sin θ = 5/sqrt(41),
Cosine (Cos θ = x/r): Cos θ = -4/sqrt(41),
Tangent (Tan θ = y/x): Tan θ = -5/4,
Cosecant (Csc θ = r/y): Csc θ = sqrt(41)/5,
Secant (Sec θ = r/x): Sec θ = -sqrt(41)/4,
Cotangent (Cot θ = x/y): Cot θ = 4/5.

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The sun of a rational number and an irrational number and an irrational number

Answers

Answer: The sum of a rational number and an irrational number is irrational.

Step-by-step explanation:An irrational number in decimal form goes forever without repeating.

Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5

Answers

Answer:

2 $(2)/(5)$

Step-by-step explanation:

Whole numbers can be seen as the number over 1. So, 3 can also be written as $(3)/(1)$ . To do $(3)/(1)$ x $(4)/(5)$ you just multiply across (3x4 and 1x5). Doing so gets you $(12)/(5)$ . Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction $(12)/(5)$ , since 2x5 is just 10. You write the remaining 2 as $(2)/(5)$ , because that's what the original denominator was. The final answer is 2 $(2)/(5)$ .

on average the number of electric guitars sold in texas each year is $91,399, which is seven times the average number of guitars sold each year in Wyoming. How manu electric guitars, on average, are sold each year in Wyoming?

Answers

The average electric guitars sold each year in Wyoming is 13,057.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given that,

on average the number of electric guitars sold in Texas each year is $91,399, which is seven times the average number of guitars sold each year in Wyoming.

Average number of guitars sold each year in Texas = 91,399

This number is seven times the average number of guitars sold each year in Wyoming.

Let x be the average number of guitars sold in Wyoming each year.

7x = 91,399

Dividing both sides of the equation by 7,

x = 91399 / 7

x = 13,057

Hence 13,057 electric guitars are sold each year in Wyoming.

Learn more about Multiplication here :

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7x = 91399
x = 91399/7
x = 13057 <===

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces.
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.

Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.

Calculate the P-Value.

Answers

Answer:

P-value = 0.4324

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8 ounces

Sample mean, $\bar{x}$ = 7.983 ounces

Sample size, n = 48

Population standard deviation, σ = 0.15 ounces

First, we design the null and the alternate hypothesis

$H_(0): \mu = 8\text{ ounces}\nH_A: \mu \neq 8\text{ ounces}$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }$

Putting all the values, we have

$z_(stat) = \displaystyle(7.983 - 8)/((0.15)/(√(48)) ) = -0.7851$

Now, we calculate the p-value with the help of standard normal z table.

P-value = 0.4324

A farmer owns 30 acres of land on which he wishes to grow corn and barely. The cost per acre for seedcorn is $30, and the cost per acre for barely seed is $20. The farmer can invest a maximum of $600 in seed for the two crops. During the cultivation process, the farmer needs to spray fertilizers and insecticides specific to each crop. This costs $10 per acre for corn and $15 per acre for barely. He can invest only $400 in this process.A) Write the two inequalities that are deciding factors for the number of acres of each crop the farmer will plant, based on the amount of money the farmer will spend on planting and cultivating the two crops.

B) replace the inequality signs in the two any qualities with equal signs. For a graft representing the two equations that influence the farmers choice of how much of each crop to grow.

C) should the lines be dilated or solid? Give reasons for both lines. What area should be shaded?

Help please

Answers

ok hola bro graicas por los punto qui :

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