express the integrand as a sum of partial fractions and the evaluate the integral (3x^2 -x 8)/(x^3 4x)

Answer:

9/25

Step-by-step explanation:

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

Given,

Company A:

Charge for an hour =$ 70

Equipment fee = $ 150

Charge for ' t ' hours = 70 x t = 70t

Total cost = Equipment fee + charge for t hours

AA = 150 + 70t

Company B:

Charge for an hour =$ 55

Equipment fee = $ 300

Charge for 't' hours = 55 x t = 55t

Total cost = Equipment fee + charge for t hours

 BB = 300 + 55t

Now, we have to find

BB = AA

300 + 55t = 150 + 70t

300 – 150 = 70t – 55t

150 = 15t

t = 150 / 15

t = 10

That is,

The equations are AA = 150 + 70t and BB = 300 + 55t.

It is 10 hours which make the cost of each company the same.

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Answer:

\(y=-4x^{2} +7x+6\\\)

Step-by-step explanation:

\(y=ax^{2} +bx+c\\\)

Points are (1,9), (2,4), and (4,-30).

\(\\9=a+b+c\\4=4a+2b+c\\-30=16a+4b+c\\\)

Subtract the first from the second.

-5 = 3a+b

Subtract 4 times the second from the third.

-34=12a+2b

-14=-2b

b=7

a=-4

c=6

Answer:

Convert in to cm and km to cm:

1cm=0.4in

5cm

Exactly one cm is 3.39 .. in so answer will come around 1.96 which is almost 2

#2

1cm=0.00001km

5cm

Therefore, x=7.

Answer:

If the X sign is multiple

=-3*-60

=180

Answer: {x,y} = {10,-2}

Step-by-step explanation: {x,y} = {10,-2}

a) The effective rate of interest on a mortgage at 8.15 percent compounded semi-annually is 8.23 percent.

b) It will take approximately 54.4 years to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly.

a) To find the effective rate of interest, we use the formula: Effective Rate = (1 + (Nominal Rate / Number of Compounding Periods))^Number of Compounding Periods - 1.

For a mortgage at 8.15 percent compounded semi-annually, the nominal rate is 8.15 percent and the number of compounding periods is 2 per year.

Plugging these values into the formula, we get Effective Rate = (1 + (0.0815 / 2))^2 - 1 ≈ 0.0823, or 8.23 percent. Therefore, the effective rate of interest on the mortgage is 8.23 percent.

b) To determine how long it will take to save $1,000,000 for retirement with $200 monthly deposits at 6 percent interest compounded monthly, we can use the formula for the future value of an ordinary annuity: FV = P * ((1 + r)^n - 1) / r, where FV is the future value, P is the monthly deposit, r is the monthly interest rate, and n is the number of periods.

Rearranging the formula to solve for n, we have n = log(FV * r / P + 1) / log(1 + r). Plugging in the values $1,000,000 for FV, $200 for P, and 6 percent divided by 12 for r, we get n = log(1,000,000 * (0.06/12) / 200 + 1) / log(1 + (0.06/12)) ≈ 54.4 years.

Therefore, it will take approximately 54.4 years to save $1,000,000 for retirement under these conditions.

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Answer:

Step-by-step explanation:

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\(\alpha ,\beta\))

E(X)= \(\alpha \beta\)                 \(\beta\)= \(12^{2}/24\)=6 weeks

V(x)= \(\alpha \beta ^{2}\)                \(\alpha\)=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \(\alpha\), \(\beta\), False)

P(\(12\leq X\leq 24\))

P(\(12/6\leq G\leq 24/6\))

P(\(2\leq G\leq 4\))

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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Answer:

Step-by-step explanation:

0.424 is the probability that the transistor will last between 12 and 24 weeks.

X= lifetime of the transistor in weeks E(X)= 24 weeks

Standard deviation= 12 weeks

Finding the parameters alpha and beta X~gamma(αβ)

E(X)= αβ             β =6 weeks

V(x)=αβ^2           α =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,α,β,False)

P(12≤X≤24)

P(12/6≤G≤24/6)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.

In the given question we have to answer that the given statement is true and false.

The given statement is:

When constructing a confidence interval for a sample proportion, the t distribution is appropriate if the sample size is small.

The given statement is false because the t distribution is not appropriate if it does not follow the bell curve.

When data are presented on a graph, they follow a bell-shaped pattern known as the t-distribution, with the majority of observations occurring near to the mean and relatively few occurring in the tails.

In cases with smaller sample numbers and unknowable data variance, it is a kind of normal distribution.

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Answer:

the statement that is true is: A and B are not independent because P(AIB) + P(B) is not equal to P(BIA) + P(A)

Step-by-step explanation:

ur welcome

Answer:

0.21

Step-by-step explanation:

i cant do a number line but to check these all you need to do is compare the digits untill you see one is bigger. once you find that you can tell which one is the biggest number. hope this helps!

Answer:60%

Step-by-step explanation:

90/150= 9/15 ÷ by 3 = 3/5=60%

Answer:

orge has not read 60% of the book.

Step-by-step explanation:

Percentage not read = (Pages not read / Total pages) * 100

Percentage not read = (90 / 150) * 100

Percentage not read = 0.6 * 100

Percentage not read = 60

Therefore, Jorge has not read 60% of the book.

Answer:

First one: true        Second one: true

Step-by-step explanation:

First Question: the lines will be parellel even though the shape grows or gets smaller

Second Question: the angle will stay the same even if it grows into a larger or smaller shape.

Answer:

half apart

Step-by-step explanation:

hope it help you

The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Answer:

C) Both (1 , 11) and (-1, -5)

Step-by-step explanation:

y = 8x + 3

Plugin x = 1  and y = 11 in the equation

11 = 8*1 + 3

11 = 8 +3

11 = 11

So, (1 , 11)  is a solution.

Plugin x = -1  and y =-5 ,

-5 = 8*(-1) + 3

-5 = -8 + 3

-5 = -5

So, (-1 , -5) is also a solution

Answer:

\(P(x)=2x^3-2x^2-49x+48\)

Step-by-step explanation:

Let the original polynomial be \(P(x)\).

We know that when it is divided by \((x-5)\), the quotient is \(2x^2+8x-9\) and we get a remainder of 3.

Therefore, this means that:

\(\frac{P(x)}{x-5}=2x^2+8x-9+\frac{3}{x-5}\)

Remember what it means when we have a remainder. Say we have 13 divided by 3. Our quotient will be 4 R1, or 4 1 over 3. We put the remainder over the divisor. This is the same thing for polynomials.

So, to find our original polynomial, multiply both sides by \((x-5)\):

\((x-5)\frac{P(x)}{x-5}=(x-5)(2x^2+8x-9+\frac{3}{x-5})\)

The left side will cancel. Distribute the right:

\(P(x)=2x^2(x-5)+8x(x-5)-9(x-5)+\frac{3}{(x-5)}(x-5)\)

Distribute:

\(P(x)=(2x^3-10x^2)+(8x^2-40x)+(-9x+45)+(3)\)

Combine like terms:

\(P(x)=(2x^3)+(-10x^2+8x^2)+(-40x-9x)+(45+3)\)

Evaluate:

\(P(x)=2x^3-2x^2-49x+48\)

And we're done!

Answer:20 mins

Step-by-step explanation:

If its one hour than thats 60 mins which means you have to minus 40.thats is 20

Hope it helps

Answer:

20 Minutes

Step-by-step explanation:

An hour is 60 minutes.

60 - 40 is 20 minutes.

Answer:

I'm guessing 1/3 but there is like missing pieces to the problem.

The answer is 240 sticky hands. This is because each sticky hand costs 2 tickets, so if she has 480 tickets, she can buy 240 sticky hands.

What is cost?

Cost is the amount of money that is required to purchase, use, or produce something. It is an economic measure of the value of goods, services, or resources. Cost is typically associated with the purchase of goods and services and can include both the monetary and non-monetary costs associated with the acquisition. For example, when buying a car, the cost is the money spent on the purchase plus any additional costs such as taxes, registration fees, and insurance. Non-monetary costs can include the time and effort invested in researching and shopping for the car, as well as the opportunity cost of not using the money for something else.

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Answer:

X=6

Step-by-step explanation:

To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!

hope this helped you!

Step-by-step explanation:

All you need to do here is use the area of a circle equation!

So a=pi(r)^2

A=pi(7)^2
A=pi49

Area would be 49pi or about 153.938 feet^2. Hope this helps!

Answer:

The rug will cover

Step-by-step explanation:

$3200

The profit-maximizing quantity will take place where MR = MC—or at the last possible point before marginal costs start surpassing marginal revenue. The amount of goods produced at which marginal revenue equals marginal cost, or when MR = MC, is the decision that will maximize profits for the monopoly. If the monopoly produces less, MR > MC at given production levels, and the enterprise can increase profits by increasing output.

While a company produces more, MC > MR prevails, allowing it to increase profits even when it produces less overall. Therefore:

MC = change in total cost/change in quantity

      Change in quantity = 100 at each unit

      Change in total cost at 400 units = 2760 - 1960 = 800

      MC at 400 units  = 800/100 = 8

Under perfect competition, profit maximizing condition is where;

      P = MC

      At 400 units, P = MC = 8

Implies profit maximizing quantity is 400 units.

      Total revenue = Price x Quantity = 8 x 400 = $3200

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Answer:

below

Step-by-step explanation:

Rational means a number with a decimal that does not go on forever or a decimal that can written as a fraction.

An irrational number is a number that cannot be written as a fraction and the decimal goes on forever.

Best of Luck!

To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph. To find the solution of the compound inequality, we look at the graphs of each inequality and then find the numbers that belong to both graphs—where the graphs overlap. For the compound inequality x>−3 and x≤2, we graph each inequality. if you use this formula you will be able to get the answer