evaluate [(30 +6)-3^2]÷9×2 ​

The three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

To find the coefficient of x^3 in the expansion of (2+x)(3-ax)^4, we can use the binomial theorem or Pascal's triangle to expand the expression.

However, since we are only interested in the coefficient of x^3, we can use the following approach:

The coefficient of x^3 in the expansion of (2+x)(3-ax)^4 will be the sum of the products of the coefficients of x and x^3 in the two factors, i.e.,

coefficient of x^3 = (coefficient of x in 2+x) * (coefficient of x^3 in (3-ax)^4) + (coefficient of x^3 in 2+x) * (coefficient of x^2 in (3-ax)^4)

The coefficient of x in 2+x is 1, and the coefficient of x^3 in (3-ax)^4 can be found using the binomial theorem:

coefficient of x^3 in (3-ax)^4 = (4 choose 3) * (3)^1 * (-a)^3 = -36a^3

The coefficient of x^3 in 2+x is 0 since there is no x^3 term in 2+x.

The coefficient of x^2 in (3-ax)^4 can also be found using the binomial theorem:

coefficient of x^2 in (3-ax)^4 = (4 choose 2) * (3)^2 * (-a)^2 = 54a^2

Substituting these values into the equation above, we get:

30 = 1 * (-36a^3) + 0 * 54a^2

Simplifying, we get:

-36a^3 = 30

Dividing both sides by -36, we get:

a^3 = -5/6

Taking the cube root of both sides, we get:

a = -5^(1/3)/2

This is one possible value for a.

Since a^3 = (-5/6) has three cube roots (one real and two complex), there are two more possible values for a, which can be found by multiplying the real cube root by the complex cube roots of unity (which are -1/2 + isqrt(3)/2 and -1/2 - isqrt(3)/2):

a = (-5^(1/3)/2) * (-1/2 + i*sqrt(3)/2) = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (-5^(1/3)/2) * (-1/2 - i*sqrt(3)/2) = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

Therefore, the three possible values for a are:

a = -5^(1/3)/2

a = (5^(1/3)/4) - (5^(1/3)/4)isqrt(3)

a = (5^(1/3)/4) + (5^(1/3)/4)isqrt(3)

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Answer:

x=-2.2 y=-1.6

Step-by-step explanation:

8x+y=-16

-3x+y=5

5x=-11

x=-11/5 or -2.2

-3x+y=5

-3(-2.2)+y=5

6.6+y=5

-6.6+y=-6.6

y=-1.6

Answer:

(−1, −8)

Step-by-step explanation:

(8x+y=−16)−1(−3x+y=−5)Becomes:8x+y=−163x−y=5Add these equations to eliminate y:11x=−11Then solve11x=−11for x:11x=−1111x11=−1111(Divide both sides by 11)x=−1

Now that we've found x let's plug it back in to solve for y.Write down an original equation:8x+y=−16Substitute−1forxin8x+y=−16:(8)(−1)+y=−16y−8=−16(Simplify both sides of the equation)y−8+8=−16+8(Add 8 to both sides)y=−8

The 4 steps to solve an equation:

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Answer:

58

Step-by-step explanation:

180-122=58

Answer:

13y+3

Step-by-step explanation:

cancel out the negative 4

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).

Given that,

The perimeter of a triangle 12cm.if the lengths of the three sides are all integers (in cm).

We have to find how many such difference triangle are possible.

We know that,

Perimeter of the triangle is 12cm.

p=12

a+b+c=12

a+b≥c

b+c≥a

So,

a+b+c≥2c

12≥2c

c≤6

So,

a≤6,b≤6,c≤6

We get,

a=6,b=3,c=3

a=5,b=4,c=3

a=4,b=4,c=4

Therefore, 3 such difference triangle are possible when the perimeter of a triangle 12cm. if the lengths of the three sides are all integers (in cm).

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The length of the curve y^2 = 16(x + 5)^3 for 0 ≤ x ≤ 1 and y > 0 is approximately 789.33 units.

To find the length of the curve y^2 = 16(x + 5)^3 for 0 ≤ x ≤ 1 and y > 0, we can use the arc length formula: L = ∫[a,b] √[1 + (dy/dx)^2] dx

where a = 0, b = 1, and dy/dx is the derivative of y with respect to x.

First, we solve the given equation for y: y^2 = 16(x + 5)^3

y = 4√(x + 5)^3

Taking the derivative of y with respect to x, we get: dy/dx = 6(x + 5)^(1/2)

Substituting into the arc length formula, we get: L = ∫[0,1] √[1 + (dy/dx)^2] dx

= ∫[0,1] √[1 + 36(x + 5)] dx

= ∫[0,1] √(36x + 181) dx

We can evaluate this integral using a substitution:

Let u = 36x + 181

Then, du/dx = 36

And, dx = du/36

Substituting in the integral, we get: L = (1/36) ∫[217,253] √u du

= (1/36) * [ (2/3) * (u^(3/2)) ]_[217,253]

= (1/54) * [(253^(3/2) - 217^(3/2))]

= (1/54) * [(50653 - 8041)]

= (1/54) * 42612

= 789.33 (rounded to two decimal places)

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I searched it up and it said the answer is 6.0869 mph

Answer:

4

Step-by-step explanation:

your trolling right?

A simple random sample of 500 voters would be an appropriate method for a pollster to use in this situation.

In this method, each voter in the town is assigned a unique identifier and a list of all unique identifiers is created. Then, using a random number generator or a random number table, 500 unique identifiers are selected and those individuals are surveyed.

This method ensures that each voter in the town has an equal chance of being selected, so that the sample is representative of the population of voters. It also eliminates any potential biases that may be introduced if the pollster were to select individuals based on certain criteria (such as age, gender, or location).

By using a random sample, the pollster can have a good estimate of the true population parameter (voter preferences) with a high degree of confidence.

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The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C

Weekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)

S = 8(H) + 2%(C)

S = 8H + 0.02(C)

S = 8H + 0.02C

So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C

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The correct answer is 69 percent.

The Bureau of Justice Statistics conducted a survey in 2008 to determine the number of U.S. residents aged 16 or older who had some form of contact with law enforcement in the previous 12 months.

The survey found that approximately 26.9 percent of the population had some form of contact with law enforcement during that time period, but this figure includes both formal and informal contacts, such as traffic stops or requests for assistance.

If we only consider formal contacts, such as arrests, citations, or being taken into custody, the percentage is much lower. According to the same survey, only about 1.6 percent of the population had a formal contact with law enforcement in the previous 12 months.

Therefore, the correct answer to the question "what percentage of U.S. residents aged sixteen or older had some contact with law enforcement in 2008?" depends on whether formal or informal contacts are being considered. If we include informal contacts, the answer is 26.9 percent. If we only consider formal contacts, the answer is 1.6 percent.

Neither 6.9 percent nor 16.9 percent are accurate answers. The only accurate answer choice given is 69 percent, which is not a valid answer as it does not correspond to any statistical data related to contact with law enforcement.

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Answer:

D-11

Step-by-step explanation:

Answer:

11 is the answer on edge

Answer:

NO.2- SSA is not the method to show the congruency of two triangles.

Solution:

Given;

p: There are four seasons.

q: It was composed by Vivaldi.

Thus;

ANSWER: There are four seasons and it was composed by Vivaldi.

Answer:

Carmen received $7.14 for each hour she worked.

Step-by-step explanation:

$350 for 49 hours of work

Write an equation, with hours as the variable

$350 = 49h

Divide both sides of the equation by 49 to find the unit rate

h = $7.14

Carmen received $7.14 for each hour she worked.

Hope this helps :)

Answer:

The y-intercept is –2.

The slope is Negative three-fifths

Step-by-step explanation:

I got it right on edge

Answer:

\(\frac{100}{a}\)

Step-by-step explanation:

Hello!

a% is the same as \(\frac a{100}\).

a% of a can be found by multiplying them both, giving us \(\frac {a^2}{100}\)

The value of the expression is \(\frac{100}{a}\)

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

ok

Step-by-step explanation:

1+1=2

then times it by 2

2x2=4

then add 4

4+4=8

The variance is a measure of how much the values in a dataset vary or spread out from the average or expected value

In probability theory and statistics, variance is a measure of how much the values in a dataset vary or spread out from the average or expected value. Specifically, it is the average of the squared differences between each value and the mean of the dataset.

More formally, if X is a random variable with expected value E(X), then the variance of X is defined as:

Var(X) = E[(X - E(X))^2]

In simpler terms, variance is a way to quantify how much the values in a dataset deviate from their average. A small variance indicates that the values are closely clustered around the mean, while a large variance indicates that the values are more spread out from the mean.

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By answering the given question, we may state that Hence, the first-time interest home buyer's mortgage brokerage fees would be $1,653.45.

Divide the principal by the interest rate, the length of time, and other factors to arrive at simple interest. Simple return = principal + interest + hours is the marketing formula. This method makes it easiest to calculate interest. The most typical technique to figure out interest is as a portion of the principal sum. He will only pay his share of the 100% interest, for example, if he borrows $100 from a friend and agrees to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you give it out, you must charge interest. Interest is often determined as an annual percentage of the loan total. The interest on the loan is this percentage.

In order to determine the mortgage brokerage fees, we must first determine 1.05% of the funded amount and then add the $300 flat charge.

The formula for 1.05% of $128,900 is as follows:

1.05/100 x $128,900 = $1,353.45

The following would be the mortgage brokerage fees:

$1,353.45 + $300 = $1,653.45

Hence, the first-time home buyer's mortgage brokerage fees would be $1,653.45.

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Answer:

It's C

Step-by-step explanation:

Simplify the expression

Answer:

27/4 or 6 3/4

6.75 in decimal form

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

Because you're translating something 3 units to the left, then you are moving along the x-axis, so you will subtract 3 from 2.

Therefore, the difference in the price of 300 cm of ribbon between shop A and shop B is £1.20.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are typically represented by letters, and may contain constants and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. An equation can be true or false depending on the values of the variables. Solving an equation means finding the values of the variables that make the equation true.

Here,

To find the difference in price between the two shops, we need to first calculate the cost per centimeter of ribbon for each shop:

Shop A: £1.68 / 140 cm = £0.012 per cm

Shop B: £1.72 / 215 cm = £0.008 per cm

Now, we can calculate the cost of 300 cm of ribbon at each shop:

Shop A: 300 cm x £0.012 per cm = £3.60

Shop B: 300 cm x £0.008 per cm = £2.40

The difference in price between the two shops for 300 cm of ribbon is:

£3.60 - £2.40 = £1.20

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