PLS HELP - Algebra 2

The answer choice which is not a possible variable term in the expansion of the binomial; (x + y)⁶ is; x⁵y².

It follows from the task content that the intended expression for expansion is; (x + y)⁶.

It therefore follows from conventional concepts of binomial expansion that the highest degree of any term in the expression be equal to 6.

However, the term x⁵y² upon summation of the exponents results in 7 by virtue of 5+2.

Hence, the correct answer choice is; x⁵y².

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Answer: x⁵y²

Step-by-step explanation: Did the test and got it right.

The Fibonacci sequence is generated by starting with the numbers 0 and 1 (or 1 and 1) and obtaining the next number by adding them together. All successive numbers are the sum of the previous two.

0 + 1 = 1

1 + 1 = 2

1 + 2 = 3

2 + 3 = 5

and so on.

For this sequence, we have

1 + 6 = 7

6 + 7 = 13

7 + 13 = 20

13 + 20 = 33

20 + 33 = 53

33 + 53 = 86

Answer: 33 , 53 ,86

Step-by-step explanation:

k

-9 the first option

When x = - 9, I get same value of 6.7 x 10^-18 to 1 d.p

Hope this helps!

The value of x that satisfies the given equation is -9.

The correct option is (A).

A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the making of mathematics.

As per the given data:

We are given an equation, and we have to find the value of x that satisfies the equation.

We can use the following rule of exponents to find the result of the given equation:

(i) \((a^m)^n = a^{m \times n}\)

(ii) \(a^m = a^n\) then m = n

For the given equation:

\(3^{4x} = 27^{x - 3}\\3^{4x} = 3^{3(x - 3)}\\3^{4x} = 3^{3x - 9}\)

4x = 3x - 9

4x - 3x = -9

x = -9

Hence, the value of x that satisfies the given equation is -9.

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Answer:

She will need 2 cans of paint

Step-by-step explanation:

Each wall is 9m2 and needs 2 coats, with 2 walls there is a total of 36m2 of wall to paint. That is greater than 32.5m2 but not greater than 65m2 so she needs 2 cans.

Answer:

The fact that "b varies directly with a" means that there exists a constant k such that b = ka. Since "a" and "b" are located the same distance from 0 in opposite directions, we know that a and b have the same absolute value but different signs. Therefore, we can write a = -b or b = -a.

Substituting -a for b in the equation b = ka, we get:

-a = ka

Solving for k, we get:

k = -a/a = -1

Substituting k = -1 back into the equation b = ka, we get:

b = -a

Therefore, the equation that represents the direct variation between a and b is:

b = -a

Answer:

I think it's B, but this website says it A

Bobby’s conclusion is invalid because the number of clubs in which the student participates does not necessarily cause the English grade of a student to increase.

Step-by-step explanation:

Website:

It doesn't let me send the link but put this into ur search bar

AP Statistics Midterm 2020 quizziz, and click on the link that has AP Statistics Midterm 2020 on it, and it will be last question

The open interval(s) = (-∞, ∞).

Given , r(t) = (e^-t, 2t^2, 5 tan(t))

Differentiating r(t) to get the first derivative of r(t) r'(t).r'(t) = Differentiating r'(t) to obtain the second derivative of r(t) r"(t).

Now, differentiate the r'(t) to obtain the second derivative,

r"(t)r(t) = (e^-t, 2t^2, 5 tan(t))r'(t) = (-e^-t, 4t, 5 sec²(t))

Again, Differentiating r'(t) to obtain the second derivative of r(t) r"(t).r"(t) = (e^-t, 4, 10 tan(t) sec²(t) )

The open interval(s) for the given function will be the domain of the function.

Here, as all the three components of the function are continuous, the function will be continuous for all t.

Therefore, the open interval(s) is (-∞, ∞).

Hence, the required values are:r"(t) = (e^-t, 4, 10 tan(t) sec²(t) )

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Answer:

Step-by-step explanation:

Step-by-step explanation:

three more than five times some number n

The radius of Convergence  for the function \(\frac{\[(-1)^{n} \; x^{n} }{\sqrt[3]{n} }\)  is 1.

The radius of the largest disk at the center of the series in which the series converges.

Perform the ratio test for absolute convergence, which says

if    \(\lim_{n \to \infty} \frac{a_{n}}{a_{n+1}}\)   =L

Then,

1) if L<1, the series is absolutely convergent

2) If L>1, the series is divergent

3) If L= 1, apply a different test.

Now, Applying test

\(a_{n+1}\) =\(\frac{(-1)^{{n+1} } \; x^{n+1}}{\sqrt[3]{n+1} }\)

So,

\(\lim_{n \to \infty} \frac{a_{n+1}}{a_{n}}\)  = \(\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}/\sqrt[3]{n+1} }{ (-1)^{n} \; x^{n} /\sqrt[3]{n} } |\)

                     = \(\lim_{n \to \infty}|\frac{ (-1)^{{n+1} } \; x^{n+1}\sqrt[3]{n}}{ (-1)^{n} \; x^{n} \sqrt[3]{n+1} } |\)

                     = \(\lim_{n \to \infty}|\frac{ (-1) \; x^{n}\sqrt[3]{n}}{ \sqrt[3]{n+1} } |\)

                    = \(\lim_{n \to \infty}\sqrt[3]{\frac{1}{1+\frac{1}{n}} } } |x|\)

Applying the limit n→∞,

= 1 x |x|

= |x|

By ratio test, the given series will be convergent if |x|< 1.

So, the radius of Convergence = 1

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All the angles formed by the transversal have been identified.

We are given the two parallel lines j and k which is cut by the transversal t.

They form the following angles:

∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7 and ∠8.

The corresponding angles are:

∠1 and ∠5

∠4 and ∠8

∠2 and∠6

∠3 and ∠7

The alternate interior angles are:

∠4 and ∠6

∠3 and ∠4

The alternate exterior angles are:

∠1 and ∠7

∠2 and ∠8

Exterior/ Interior angles on the same side are:

∠1 and ∠8

∠2 and∠7

∠4 and ∠5

∠3 and ∠6

Therefore all the angles formed by the transversal have been identified.

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Answer:6/8 ,36/48, 30/40 ,9,12 and etc

Answer:

6/8, 9/12, 12/16

Step-by-step explanation:

Answer:

.0025%

Step-by-step explanation:

The HRT (Hydraulic Retention Time) of an aeration tank with a volume of 425,000 gallons (1,609,000 liters) and an influent rate of 850,000 gallons (3,218,000 liters) is 0.5 hours.

To calculate the HRT, follow these steps:

1. Identify the tank volume: 425,000 gallons (1,609,000 liters).

2. Identify the influent rate: 850,000 gallons (3,218,000 liters) per day.

3. Convert the influent rate to an hourly rate by dividing by 24 hours: (850,000 gallons / 24) = 35,416.67 gallons per hour (145,750 liters per hour).

4. Calculate the HRT by dividing the tank volume by the hourly influent rate: (425,000 gallons / 35,416.67 gallons per hour) = 0.5 hours (1,609,000 liters / 145,750 liters per hour = 0.5 hours).

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There are 27,720 different arrangements of red and yellow roses.

The total number of roses is 8 + 4 = 12. To find the number of different arrangements, we can use the formula for permutations, which is:

n! / (n - r)!

where n is the total number of objects and r is the number of objects we want to arrange.

In this case, we want to arrange all 12 roses, so n = 12. The number of red roses is 8, so r = 8. Therefore, the number of different arrangements of the roses is:

12! / (12 - 8)! = 12! / 4! = 27,720

So there are 27,720 different arrangements of the 8 red roses and 4 yellow roses.

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increases by 11.1% and his raise £18 and £2 less than what he wants

Answer:

43

Step-by-step explanation:

If x = 4, then plug in an x in the given equation

7(4) + 15 = 43

Therefore h(4) = 43

I hope this helps! :)

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

answer is yes it does have some fun and easy way out

Answer:

The answer is A

Step-by-step explanation:

Can't tell u da step

Answer:

m = 55t

t = m/55

Step-by-step explanation:

According to the formula for calculating speed expressed as;

Speed = distance/time

Given;

Distance = 55mph

required:

distance as a function of t

time as a function of distance m

If distance is m and time is t

From the formula;

55 = m/t

m = 55t

Hence the equation to solve for miles m is m = 55t

To get t, we will cross multiply from 55 = m/t;

55t = m

Divide both sides by 55

55t/55 = m/55

t = m/55

Hence the equation to solve for time in hours is t = m/55

a) The slope of the staircase is 2.4/3.5 = 0.6857 (rounded to four decimal places). b) Yes, the staircase is safe as its slope falls within the required range of 0.58 to 0.70.

a) The slope of a staircase is calculated by dividing the vertical rise by the horizontal run. So, the slope of this staircase is:

slope = vertical rise / horizontal run

= 2.4 m / 3.5 m

= 0.686

b) To determine if the staircase is safe, we need to compare the slope with the safety requirement of 0.58 < slope < 0.70. In this case, the slope of the staircase is within the safety range, as 0.58 < 0.686 < 0.70. Therefore, the staircase is safe according to the safety requirement.

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Given:

Bird center bar chart is given.

Option D is the final answer.

Answer:

Total after tax and discount is $7.78

Step-by-step explanation:

(10.49×0.3)= 3.15

10.49 - 3.15 = 7.34

(7.34×0.06)= 0.44

7.34 + 0.44 = 7.78

Answer:

There are infinite solutions.

Step-by-step explanation:

Here's what your work would like to solve (you can choose either variable to cancel out, I just went with X):

To cancel out X, you'll need to multiply the top equation by 3:

3(x + 2y = -2)

-3x - 6y = 6

Here's what your new equations will look like after distributing the 3:

3x + 6y = -6

-3x - 6y = 6

Your next step is adding the two equations together. When doing so, you should get 0 = 0, which means infinite solutions, because they are the same line.

Hope this helps!

Answer:

The graph shown is the answer

Step-by-step explanation:

It says why and how its the answer

Answer:

B

Step-by-step explanation:

3+5+7=3+7+5

Answer:

Step-by-step explanation:

(1/2)(1/2)=1/4

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Given:-

A roller coaster drops 112 feet before going back up 52 feet.

To find an additional expression for the situation. Then find the sum.

So here dropping down is considered as negative and back up is considered as positive.

So we get,

So the sum is,

So the required solution is -60.