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3 years ago

25 points! SHOW ALL WORK PLZ!

Mathematics

1 answer:

Eva8 [605]3 years ago

7 0

Answer:its 11

Step-by-step explanation:

$:!

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Estion

Illusion [34]

Answer:

Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

Step-by-step explanation:

be Carmen's money "c", Goran's "g" and Henry's "h"

Now, we organize the equations and we are left with:

c + g + h = 127

h = 4 * g

c = g + 7

replacing in the main one we have:

g + 7 + g + 4 * g = 127

6 * g = 127 - 7

g = 120/6

g = 20

now replacing:

h = 4 * 20 = 80

c = 20 + 7 = 27

therefore, Carmen is $ 27, Henry is $ 80, and Goran is $ 20.

7 0

3 years ago

Can someone help with this asap

Radda [10]

Answer:

There are 5⁸ blades.

Step-by-step explanation:

Given that,

The area of land $=5^{12}\ \text{acres}$

Each acre has 5⁴ blades of grass

We need to find how many blades of grass have by the entire land. It can be calculated as follows :

$n=\dfrac{5^{12}}{5^4}\\\\n=5^{12-4}\\\\n=5^8$

Hence, there are 5⁸ blades.

3 0

3 years ago

Exhibit 13-3 To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been r

marta [7]

Answer:

a. 1.059

Step-by-step explanation:

Test statistics is used in hypothesis testing to find the conclusion. Test statistics are T-values which are used in testing a hypothesis and deciding whether to accept or reject the null hypothesis.

Test statistics can be calculated with the following formula:

Z = x - u / s / $\sqrt{n}$

7 0

3 years ago

Use binomial expansion to solve each exercise. (a) Find the coefficient of xy19 in (3x − 2y) 20.(b) Give a formula for the coeff

pishuonlain [190]

9514 1404 393

Answer:

(a) -29,884,416

(b) C(n,(n -k)/2) . . . where C(n,k) = n!/(k!(n-k)!) and k ∈ ℕ

Step-by-step explanation:

(a) The coefficient of the k-th term of the expansion is ...

C(20,k)(3x)^(20-k)(-2y)^k

For k=19, this is ...

19(3x)(-2y)^19 = -29,884,416xy^19

The coefficient of the term is -29,884,416.

(b) The p-th term of the expansion of (x +1/x)^n is ...

C(n,p)(x^(n-p)(1/x)^p = C(n,p)(x^(n-2p))

For some exponent k of x, the value of p will be ...

k = n -2p

p = (n -k)/2

Then the coefficient of x^k will be C(n, (n-k)/2), where C(n, x) = n!/(x!(n-x)!).

You will notice that there will only be a term x^k for k having the same parity as n.

5 0

3 years ago

16 - 2r = -3r + 6r +1

Alona [7]

Answer:

r=3

Step-by-step explanation:

Simplify the expression

16-2r=3r+1

isolate r by adding 2r to both sides

16=5r+1

isolate the numbers by subtracting 1 from both sides

15=5r

divide both sides by 5 to completely isolate r

r=3

8 0

3 years ago

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