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arsen [322]
3 years ago
14

Solve: 37x + 41y = 7041x + 37y = 86​

Mathematics
1 answer:
AysviL [449]3 years ago
4 0

Step-by-step explanation:

37x + 41y = 70 --- R¹

41x + 37y = 86 --- R²

R¹ + R² : 78x + 78y = 156

78(x + y) = 156

x + y = 2 --- R³

R¹ - R² : -4x + 4y = -16

4(y - x) = -16

y - x = -4 --- R⁴

R³ + R⁴ : 2y = -2

y = -1

R³ - R⁴ : -2x = -6

x = 3

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100 points , please help. I am not sure if I did this correct if anyone can double-check me thanks!
Nookie1986 [14]

Step-by-step explanation:

\lim_{n \to \infty} \sum\limits_{k=1}^{n}f(x_{k}) \Delta x = \int\limits^a_b {f(x)} \, dx \\where\ \Delta x = \frac{b-a}{n} \ and\ x_{k}=a+\Delta x \times k

In this case we have:

Δx = 3/n

b − a = 3

a = 1

b = 4

So the integral is:

∫₁⁴ √x dx

To evaluate the integral, we write the radical as an exponent.

∫₁⁴ x^½ dx

= ⅔ x^³/₂ + C |₁⁴

= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)

= ⅔ (8) + C − ⅔ − C

= 14/3

If ∫₁⁴ f(x) dx = e⁴ − e, then:

∫₁⁴ (2f(x) − 1) dx

= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx

= 2 (e⁴ − e) − (x + C) |₁⁴

= 2e⁴ − 2e − 3

∫ sec²(x/k) dx

k ∫ 1/k sec²(x/k) dx

k tan(x/k) + C

Evaluating between x=0 and x=π/2:

k tan(π/(2k)) + C − (k tan(0) + C)

k tan(π/(2k))

Setting this equal to k:

k tan(π/(2k)) = k

tan(π/(2k)) = 1

π/(2k) = π/4

1/(2k) = 1/4

2k = 4

k = 2

8 0
4 years ago
Raining Company analyzes its receivables to estimate bad debt expense. The accounts receivable balance is $200,000 and credit sa
8_murik_8 [283]

Answer:

Raining Company and Tanning Company

An Uncollectible Expense of $17,500 will be credited to the Allowance for Doubtful Accounts to bring the credit balance to $20,000.

Step-by-step explanation:

Since the accounts receivable balance is $200,000, there is nothing to do with the credit sales of $1,300,000.

The Allowance for Doubtful Accounts after adjustment should have a credit balance of $20,000 ($200,000 x 10%).

With a credit balance of $2,500 before adjustment, it will be adjusted (credited) with Uncollectible Expense of $17,500.  This brings the adjusted balance to $20,000 which represents 10% of the accounts receivable balance of $200,000.

Note that the Allowance for Doubtful Accounts is a contra (credit) account to the Accounts Receivable account.  This allowance is a way to prudently provide for credit risk as required by Generally Accepted Accounting Principles.

4 0
4 years ago
What is the slope of the line graphed below ? (1,1) (3,2)
kirill115 [55]

Answer:

m = \frac{1}{2}

Step-by-step explanation:

\frac{y2 - y1}{x2 - x1}

\frac{2-1}{3-1}

2-1 = 1\\ 3-1=2

m = \frac{1}{2}

8 0
3 years ago
Read 2 more answers
Side and angle properties of a parallelogram (level 2). NO LINKS!!!
gogolik [260]

Answer:

Hello,

If we look at the solution we can calculate this very easily

A is 40

B is 121

C=y

D=x

THe answer

x=46

y=13

z= 116

Step-by-step explanation:

8 0
3 years ago
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673.5 in scientific notation
Kamila [148]
<span>0.625=6.25⋅<span>10<span>−1 hope this helped</span></span></span>
8 0
4 years ago
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