5|x + 11 + 7 = -38<br> Absolute value equations

a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats

ella [17]

Answer:

there are 84 seats in the second to the last row

Step-by-step explanation:

Given that

each row has two fewer seats than the row behind it

It means that

if first row has x seats then

no of seat in second row has (x-2) seats.

and similarly

no of seat in third row =no of seat in second row - 2seats.

no of seat in third row = (x-2) seat - 2 seats = x - 4 seats

_____________________________________________

Given that

last row has 80 seats

let the number of seat in first to the last row be x

then number of seat in last row = x-2

we know number of seat in last row = 80

thus

x - 2 = 80

x = 82

Thus,

the number of seat in first to the last row is 82

Similarly let the number of seat in second to the last row be y

then number of seat in first to the last row = y-2

since number of seat in first to the last row is 82

thus

y-2 = 82

y = 82 + 2 = 84

Thus, there are 84 seats in the second to the last row.

_________________________________________________

8 0

4 years ago

___cosb=1/2[sin(a+b) + sin(a-b)

Bond [772]

Use the addition and subtraction theorem:

sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B

From there it's just a matter of simplification.

sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B

7 0

3 years ago

Determine numbers are solutions to the inequality. Select all that apply

VARVARA [1.3K]

Answer:

8

Step-by-step explanation:

7 0

3 years ago

Hotah and his 3 friends are each running 1/4 of a 2-mile relay race. How far is each person running?

vivado [14]

Answer:

1/2 of a mile

Step-by-step explanation:

Divide 2 by 4, since the race is 2 miles and there are 4 of them:

2/4

= 1/2

So, each person is running 1/2 of a mile.

5 0

4 years ago

Read 2 more answers

A company determines that monthly sales S(t), in thousands of dollars, after t months of marketing a product is given by S(t)

patriot [66]

Answer: a) S'(1) = 136; S'(2) = 104; S'(4) = 76;

b) S''(1) = -38; S''(2) = -26; S''(4) = -2

Step-by-step explanation:

a) S' means first derivative;

$\frac{d}{dt}$ (6t³ - 45t² +180t +130) = 6t² - 50t + 180

S'(1) = 6.1² - 50.1 + 180

S'(1) = 136

S'(2) = 6.2² - 50.2 + 180

S'(2) = 104

S'(4) = 6.4² - 50.4 + 180

S'(4) = 76

b) S'' is the second derivative of S:

$\frac{d^2}{dt^2}$ (6t² - 50t + 180) = 12t - 50

S''(1) = 12.1 - 50

S''(1) = -38

S''(2) = 12.2 - 50

S"(2) = -26

S"(4) = 12.6 - 50

S"(4) = -2

c) Derivative is the rate of change of a function. The first derivative is the slope of the tangent line to the graph if the function in a determined point, while the second derivative measures how the rate of change is changing.

Analysing the values, we can conclude that the sales of the product after t months is decreasing at a rate of 12.

7 0

3 years ago

5|x + 11 + 7 = -38 Absolute value equations