PLEASE HELP ME OK SO WHAT IS X/5 + 6 <2

The coefficient of \(x^2y^3\) in the expression \((2x+y)^5\) is 10

To find the coefficient of the term containing \(x^2y^3\\\) in the expansion of \((2x+y)^5\), we can use the binomial theorem. The binomial theorem states that the expansion of \((a + b)^n\) can be written as the sum of the binomial coefficients multiplied by the respective powers of a and b, where n is a positive integer.

In this case, we have \((2x + y)^5\). The term \(x^2y^3\) can be obtained by selecting two x's from \((2x)^2\) and three y's from \(y^3\). The coefficient of \(x^2y^3\) will be the product of the corresponding binomial coefficients.

The binomial coefficients for this term can be calculated as follows:

Coefficient = C(5, 2) * C(3, 3)

C(n, k) represents the binomial coefficient, which is calculated as n! / (k! * (n - k)!), where "!" denotes the factorial operation.

Plugging in the values, we have:

Coefficient = C(5, 2) * C(3, 3)

\(= (5! / (2! * (5 - 2)!)) * (3! / (3! * (3 - 3)!))\\= (5! / (2! * 3!)) * (3! / (3! * 0!))\\= (5 * 4 * 3! / (2 * 1 * 3!)) * 1\\= (5 * 4) / (2 * 1)\\= 10.\)

Therefore, the coefficient of \(x^2y^3\) in the expression \((2x+y)^5\) is 10.

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Answer:

The correct answer is B.

Approximately 200 students received a test score between 70.5 and 80.

The true statements about the number line are (c) JMK = 50 and (d) KML = 35 while the true statements about the angles  are (c) JMK = 50 and (d) KML = 35

The number line

On the number line, we have the following points:

A = -2

B = 1

C = 6

Lengths cannot be negative.

So, option (A) is false

The length BC is calculated as:

BC = |C - B|

So, we have

BC = |6 - 1| ---- option (B) is true

BC = 5 --- option (E) is false

The point B is between points A and C.

This means that:

(d) AB + BC = AC ---- true

Hence, the true statements are (b) BC = |6 - 1| and (d) AB + BC = AC

The angles

From the figure, we have:

JMK = 6x + 2

KML = 4x + 3

JML = 85

This means that

6x + 2 + 4x + 3 = 85

Evaluate the like terms

10x = 80

Divide by 10

x = 8

Substitute x = 8 in JMK and KML

JMK = 6x + 2 = 6 * 8 + 2 = 50

KML = 4x + 3 = 4 * 8 + 3 = 35

Hence, the true statements are (c) JMK = 50 and (d) KML = 35

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Answer:

1 hope this helps

Step-by-step explanation:

Answer:oft-t

Step-by-step explanation:

The value of x is 50 and FTD = 130°

Both of the angles in the diagram must have the same measure because are vertical, then:

3x - 20 = 2x + 30

3x - 2x = 30 + 20

x = 50

That is the value of x.

And we can see that FTD = 2x + 30 = 2*50  + 30 = 130

That is the measure.

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Answer:

If you don't understand handwriting

then comment ok

Answer:

7/10 or 0.7

Step-by-step explanation:

-3/2 (1/3 - 4/5)

(-3/2) (1/3 + -4/5)

(-3/2)(1/3) + (-3/2)(-4/5)

-1/2 + 6/5

7/10

I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.

The inequality in interval notation is  [ -1, ∞ ) from the given equation x ≥ - 3

Given data :

x ≥ - 3

x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),

we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.

In interval notation it is [ -1, ∞ )

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Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)

Answer:0.833333333

Step-by-step explanation:

5/8 divided by 3/4 is just 5/8 x 4/3 which is 0.833333333

Divide: 5/8 : 3/4 = 5/8 · 4/3 = 5 · 4/8 · 3 = 20/24 = 4 · 5 /4 · 6 = 5/6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/

4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 5/6.

In words - five eighths divided by three quarters = five sixths.

9514 1404 393

Answer:

  -8,257,536·u^5·v^10

Step-by-step explanation:

The expansion of (a +b)^n is ...

  (c0)a^nb^0 +(c1)a^(n-1)b^1 +(c2)a^(n-2)b^2 +... +(ck)a^(n-k)b^k +... +(cn)a^0b^n

Then the k-th term is (ck)a^(n-k)b^k, where k is counted from 0 to n.

The value of ck can be found using Pascal's triangle, or by the formula ...

  ck = n!/(k!(n-k)!) . . . . where x! is the factorial of x, the product of all positive integers less than or equal to x.

This expansion has 11 terms, so the middle one is the one for k=5. That term will be ...

  5th term = (10!/(5!(10-5)!)(2u)^(10-5)(-4v^2)^5

  = (252)(32u^5)(-1024v^10) = -8,257,536·u^5·v^10

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

Since the first one can't be 0, there are 9 possibilities for it.

Also, since the last one can't be 1, there is also 9 possibilities for it.

The remainder 6 digits have 10 possibilities.

Since the order does matter, because the order of the digits make the numbers different, the number of possibilities can be calculated by multiplying the number of possibilities of each digit.

So, we have:

So, there are 81000000 possibilities.

Answer:

55

Step-by-step explanation:

125+55=180

or

180-125=55

Answer:

Angle x is

Step-by-step explanation:

Angle xis equal to 125(alternate angle)

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

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Answer:

Below

Step-by-step explanation:

25 oo pass / hr

# passengers for H hours  would be   2500H

    f (H) = 2500 H

Answer:

a) 2500H

b) 20,000

Step-by-step explanation:

To find the number of passengers carried, multiply the number of passengers carried in an hour by the total hours.

  a)    Passengers carried in an hour = 2500

     Passengers carried in 'H' hours = 2500 * H = 2500H

b)  H = 8 hours

  Passengers carried in 8 hours = 2500 * 8

                                                      = 20,000

Money Matters is the best value for money for £750 they are giving 806.25 euros.

Customers can exchange one currency for another at a currency exchange, which is a licensed business.

The three agents are giving the money at different rates:-

Travel Exchange   =  750  x   1.1065  =   798.75 Euros

Phoenix Financial =   1.1050  x  750  =   787.5 Euros

Money Matters      =  1.1075  x   750  =    806.25 Euros

We can see that Money Matters is giving the best value for money.

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Answer:

T62

Step-by-step explanation:

Tn = n(n + 1)/2

1953 = n(n + 1)/2

n(n + 1) = 3906

n^2 + n - 3906 = 0

(n + 63)(n - 62) = 0

n = -63 or n = 62

Answer: T62

Answer:

x=5

Step-by-step explanation

Move all terms containing  x  to the left side of the equation.

4x-8=12

Move all terms not containing  x  to the right side of the equation.

4x=20

Divide each term by  4  and simplify.

x=5

Answer:

x = -1/3

Step-by-step explanation:

step one - Simply both sides of the equation

step two - Multiply both side by 4/(-3)

The futures price would be 98.52.

To determine the futures price of a bond futures contract, you need to calculate the present value of the bond's cash flows discounted at the appropriate rate.

In this case, the bond has a par value of $100, an annual coupon of $8, and a maturity date in 2 years. The futures delivery date is in 1 year, and the rates of return R(0,1) and R(0,2) are 5% and 10%, respectively.

The present value of the bond's cash flows can be calculated as follows:

The present value of these cash flows at time 0 (now) can be calculated using the formula:

\(PV = CF1 / (1 + r) + CF2 / (1 + r)^2\)

where PV is the present value, CF1 and CF2 are the cash flows at time 1 and time 2, respectively, and r is the appropriate rate of return.

Substituting the values into the formula, we get:

            \(PV = $8 / (1 + 0.05) + ($100 + $8) / (1 + 0.1)^2\\\\= $7.61 + $90.91\\\\= $98.52\)

Hence, The futures price would be 98.52.

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Answer:

Step-by-step explanation:

Answer:

c because if the converse is true then the inverse is also logically through

Answer:

\(a < - 12\)

Step-by-step explanation:

Answer:

K = 1

Step-by-step explanation:

K + 2 = 3

K = 3 -2

K = 1

Answer:

K=2

Step-by-step explanation:

K+4 / 2 = 3

If you input 2 into the equation you get 3.

2+4=6

6/2 = 3

The correct answer is C) Consumers differ in their preference for Android phones and iPhones.

The p-value is a measure of the strength of evidence against the null hypothesis. It is calculated based on the observed data and the alternative hypothesis. The alternative hypothesis is the statement that we are trying to test against the null hypothesis.

In general, the calculation of the p-value does not depend on whether the alternative hypothesis violates the assumption of equal or expected values. However, the choice of the appropriate statistical test and its assumptions may depend on the alternative hypothesis.

In this regard, the p-value can be calculated without bothering about the expectation violation while testing the alternative hypothesis of "consumers differ in their preference for Android phones and iPhones." This hypothesis does not make any assumption about the expected preference of consumers for Android or iPhone, so the calculation of the p-value is not affected by any expectation violation.

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