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2 years ago

Find the sum of the first 150 terms of the arithmetic series: 4, 5, 6, 7, 8, … 7,345 11,775 13,322 15,654

1 answer:

7 0

4, 5, 6, 7, 8, . . .
a = 4, d = 5 - 4 = 1, n = 150
Sn = n/2[2a + (n - 1)d]
S(150) = 150/2[2(4) + (150 - 1)1] = 75[8 + 149] = 75(157) = 11,775

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Someone please help! No link answer please :(

grandymaker [24]

Answer:

55 degrees (a)

Step-by-step explanation:

complementary means they equal 90 degrees

so 90-35= 55 degrees

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3 years ago

Finding Derivatives Implicity In Exercise, find dy/dx implicity. x2 - 3 ln y + y2 = 10

Veseljchak [2.6K]

Answer:

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

Step-by-step explanation:

We are given that

$x^2-3lny+y^2=0$

Differentiate w.r.t x

$2x-\frac{3}{y}\frac{dy}{dx}+2y\frac{dy}{dx}=0$

By using formula

$\frac{dx^n}{dx}=nx^{n-1}$

$\frac{d(lnx)}{dx}=\frac{1}{x}$

$\frac{dy^n}{dx}=ny^{n-1}\frac{dy}{dx}$

$\frac{dy}{dx}(-\frac{3}{y}+2y)+2x=0$

$\frac{dy}{dx}(-\frac{3}{y}+2y)=-2x$

$\frac{dy}{dx}=-\frac{2x}{-\frac{3}{y}+2y}$

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

Hence, the derivative of function

$\frac{dy}{dx}=-\frac{2xy}{2y^2-3}$

8 0

3 years ago

A dealer paid $10,000 for a boat at an auction. At the dealership, the sales person sold the boat for 30% more than the auction

Margaret [11]

The answer is B, $10,000 is given and is not a variable that can be changed, since there are 150 band students raising money it would be 150x, and the 30,000 is the goal of the fundraiser

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2 years ago

What is the measure, in degree, of angle z ?

Jobisdone [24]

Answer:

55°

Step-by-step explanation:

if the middle is straight, then x+35°=90°

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2 years ago

What is 4x-7xy+9xy-7pq

konstantin123 [22]

Answer: " 4x + 2xy - 7pq " .
___________________________________
Explanation:
___________________________________
Given: " 4x - 7xy + 9xy - 7pq " ; Simplify the expression;
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Combine the "like terms:
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-7xy + 9xy = 2xy ;
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Now, rerewrite the expression, substituting the "-7xy + 9xy"; with " + 2xy" ;
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→ " 4x + 2xy - 7pq " .
___________________________________

4 0

3 years ago