Please help! I have to factor this equation but I don't understand it. Will you please help me solve it? 27a2 + 4b2

Answer:

-6^3 is the right answer.

In algebra, fractions can be added, subtracted, multiplied, and divided just like in basic arithmetic.

The components of a whole or group of objects are represented by fractions. A fraction consists of two parts. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the whole or collection. The denominator is the figure that appears below the line.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the fundamentals of algebra. Additionally, the algebraic expressions contain the fundamental arithmetic operations of addition, subtraction, multiplication, and division.

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Answer:

Domain would be all real numbers

Step-by-step elelamation

Range would be either:  y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum

The mean of binomial distribution is 5.

Binomial distribution is a probability distribution used in statistics that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions. Binomial distribution is a common discrete distribution used in statistics, as opposed to a continuous distribution, such as normal distribution. This is because binomial distribution only counts two states, typically represented as 1 (for a success) or 0 (for a failure) given a number of trials in the data. Binomial distribution thus represents the probability for x successes in n trials, given a success probability p for each trial.

Binomial distribution summarizes the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution determines the probability of observing a specified number of successful outcomes in a specified number of trials.

For a binomial distribution, the probability of success is 20% and sample size is 25. We have to find the mean for a binomial distribution.

n = 25

p = 20% = 0.2

Mean of binomial distribution, μ, is

μ = n × p = 25 × 0.2 = 5

Thus, the mean of binomial distribution is 5.

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In Costello et al. (2003), the independent variable that was not manipulated by the research team was the gender of the participants.

The study examined the effects of different levels of alcohol consumption on cognitive performance and mood states in young adults. Participants were assigned to different alcohol consumption groups based on their self-reported drinking habits. However, the gender of the participants was not manipulated, and the study included both male and female participants. This means that any differences in the results based on gender cannot be attributed to the research team's manipulation of the independent variable, but rather to other factors that may have affected the results.

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Recall that for \(|x|<1\), we have the convergent geometric series

\(\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}\)

Now, for \(\left|\frac x5\right| < 1\), we have

\(\dfrac1{5 - x} = \dfrac15 \cdot \dfrac1{1 - \frac x5} = \dfrac15 \displaystyle \sum_{n=0}^\infty \left(\frac x5\right)^n = \sum_{n=0}^\infty \frac{x^n}{5^{n+1}}\)

Integrating both sides gives

\(\displaystyle \int \frac{dx}{5-x} = C + \int \sum_{n=0}^\infty \frac{x^n}{5^{n+1}} \, dx\)

\(\displaystyle -\ln(5-x) = C + \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}\)

If we let \(x=0\), the sum on the right side drops out and we're left with \(C=-\ln(5)\).

It follows that

\(\displaystyle \ln(5-x) = \ln(5) - \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}\)

or

\(\displaystyle \ln(5-x) = \boxed{\ln(5) - \sum_{n=1}^\infty \frac{x^n}{5^n n}}\)

True. For all waiting lines, P0+Pw= 1

The terms P0 and Pw refer to the probabilities of having 0 customers in the system and having customers waiting in line, respectively. Since every customer is either in the system or in the waiting line, the sum of these probabilities must equal 1. This is because there are only two possible outcomes: either a customer is being served (P0) or they are waiting in line (Pw). Therefore, the probability of one of these events occurring is 1, and the probability of the other event occurring is 0. Hence, P0 + Pw = 1.

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Answer:

hola bien y tu como estas?

Answer:

hola gracias por los puntos

Step-by-step explanation:

Answer:

y = 8

x = 3

Step-by-step explanation:

5x+y=23

3x+y=17

cancel out the Xs

 15x + 3y = 69

-15x - 5y = -85

-2y = -16

y = 8

Plug in 8 for the Y in any of the equations it doesn't matter

3x + y = 17

3x + 8 = 17

3x = 9

x = 3

hope this helps

Answer:

The percentage increase is 7%.

She paid £160150 for her house.

Step-by-step explanation:

first year : increase 5%

second year : increase 2%

after 2 years : £171360

100%+5%+2%= 107%

107%= £171360

1%= £171360÷107

= £1601.5 (to 5 s.f.)

100%= £1601.5×100

= £160150

A has both 6 and -6 as a answer

Yes one and six tenths is to four as two and four tenths is to six

In some contexts, "is to" can mean division. For example, if you say "5 is to 10 as x is to 20," you could interpret that as a proportion, where the ratio of 5 to 10 is equal to the ratio of x to 20. This can be rewritten as:

5/10 = x/20

Now

To solve this problem, we can use proportions.

One and six tenths is equivalent to 1.6, and two and four tenths is equivalent to 2.4.

Let x be the number that corresponds to "is to" in the second part of the statement. Then, we can set up the following proportion:

1.6/4 = 2.4/x

We can cross-multiply to get:

1.6x = 9.6

And then solve for x:

x = 6

So in this case, "is to" did involve division. However, "is to" doesn't always mean division and its meaning can depend on the context in which it is used.

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Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

Answer:

96

Step-by-step explanation:

As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.

We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.

At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:

4 + 2x^2 + 2y^2 = 10

2x^2 + 2y^2 = 6

x^2 + y^2 = 3

This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.

Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:

∫∫[x^2 + y^2 ≤ 3] dx dy

Switching to polar coordinates, we have:

∫[0,π/2]∫[0,√3] r dr dθ

Integrating with respect to r first gives:

∫[0,π/2] [(1/2)(√3)^2] dθ

= (3/2)π

So the volume of the solid is:

V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV

= (3/2)π(10-4)

= 9π

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Thus, Average rate of change for f(x) = -0.4x² is -3.5 and Average rate of change for g(x) = -1.6x² is -12.8. The Average rate of change for g(x)  is 3.65 times for than f(x).

We would calculate the average rate of change for each of these occurrences. Finding the average rate of change involves calculating the overall amount of change. This is extremely similar to determining a line's slope.

Average rate of change formula = [f(b) - f(a)] /(b - a)

interval: 3 ≤ x ≤ 5

a = 3 and b = 5

Functions are-

A: f(x) = -0.4x²

f(b) = f(5) = -0.4(5)² = -10

f(a) = f(3) = -0.4(3)² = -3.6

Average rate of change formula = [f(b) - f(a)] /(b - a)

=  [-10 + 3] /(5 - 3)

= -7/2

= -3.5

B: g(x) = -1.6x²

g(b) = g(5) = -1.6(5)² = -40

g(a) = g(3) = -1.6(3)² = -14.4

Average rate of change formula = [-40 + 14.4] /(5 -3)

= - 25.6 / 2

= -12.8

Thus, Average rate of change for f(x) = -0.4x² is -3.5 and Average rate of change for g(x) = -1.6x² is -12.8. The Average rate of change for g(x)  is 3.65 times for than f(x).

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The approximate values of the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values represent the values at which the polynomial equation evaluates to zero, indicating the roots of the equation.

To find the roots of a polynomial equation, we set the equation equal to zero and solve for the unknown variable. In this case, we have a polynomial equation with non-integral roots.

To obtain the approximate values of these roots, numerical methods such as iterative methods or numerical approximation techniques can be used. These methods involve making educated guesses and refining the guesses until the equation evaluates to zero.

The resulting approximate values for the non-integral roots of the polynomial equation are -5.57, -1.95, 0.21, 1.27, and 4.73. These values are not exact, but they are close approximations to the actual roots of the equation.

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Explanation:

Average = (sum of scores)/(number of scores)

We can turn that equation into symbolic form to say

A = S/n

We're told that "18 students had an average of 80" (paraphrased) which means,

A = S/n

80 = S/18

80*18 = S

S = 1440

Those 18 students' scores add up to 1440.

For the other group of 40-18 = 22 students, their scores add to

S = A*n

S = 70*22

S = 1540

Overall, everyone's scores add up to 1440+1540 = 2980

Divide this over the number of people in class (40) to get the final answer

2980/40 = 74.5

--------------------------------------------

Here's an alternative way to compute the answer

(18/40)*80 + (22/40)*70 = 74.5

This works because 18/40 of the class got an average of 80 while the remaining 22/40 of the class got an average of 70.

First you will get 4dz

Answer:

Step-by-step explanation:

a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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not sure if I'm correct but

1. f × 0 = 0

2. f × 0 = 0 sooo, all number's are gonna do the job because you're multiplying all by 0

Answer:

x=-27/11

Step-by-step explanation:

This answer is x=-27/11

1. Eight more than a number 14 -> 14 + 8 = 22
2. Number decreased by 12 is 9 -> 9 + 12 = 21
3. 20 subtracted from walters age is 24 -> 24 + 20 = 44
4. Ten more than twice as jose's age is 24 -> (24-10)/2 = 7
5. x + 15 = 2x -> x = 15

Answer:

\( {6}^{12} \times 36 =\)

Answer:

216

Step-by-step explanation:

If x = 8 & y = -9
Put in place -3 (8)(-9)
-24 * -9 = 216

Answer:

Step-by-step explanation:

\((1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5\)

Answer:

4.4

Step-by-step explanation:

Answer:

508 because you need to add up all the sides

Answer:

-1/2

Step-by-step explanation:

cos(x+pi) = -cos(x), so the answer is -1/2.