A(3tx-2b)=c(dx-2) Solve the equation for x

Select the correct answer.

sammy [17]

Answer:

A. -2

Step-by-step explanation:

Hope this helps

3 0

3 years ago

Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?

Wewaii [24]

Answer:

$1,800

Step-by-step explanation:

If Michael works 30 hours a week for $15 an hour we can use the equation:

15 x 30 = 450.

Now just multiply the given answer by 4 and you're left with:

450 x 4 = 1800.

4 0

3 years ago

A major corporation is building a 4325 acre complex of homes, offices, stores, schools, and churches in the rural community of G

denis23 [38]

Answer:

1) P(0) = 5000

2) P(t --> ∞) = 25000

Step-by-step explanation:

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

1) Population at the moment corresponds to population at t = 0

P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)

2) Population in the long term corresponds to the population as t --> ∞

P(t) = (25t² + 125t + 200)/(t² + 5t + 40)

Divide through the numerator and denominator by t²

P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))

P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)

P(t --> ∞) = 25 thousand = 25000

3 0

4 years ago

Solve the following equations for x,

stellarik [79]

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ or x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ or x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0 or cos(x) + 1 = 0

2 cos(x) = 1 or cos(x) = -1

cos(x) = 1/2 or cos(x) = -1

[x = arccos(1/2) + 2nπ or x = 2π - arccos(1/2) + 2nπ] or x = arccos(-1) + 2nπ

[x = π/3 + 2nπ or x = 5π/3 + 2nπ] or x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

7 0

3 years ago

What is the measure of ∠DAB? Enter your answer in the box. ° quadrilateral a b c d with side a b parallel to side b c and side a

charle [14.2K]

Answer: The measure of angle ∠DAB is 84

Step-by-step explanation:

Step 1: 96 + 96 = 192

Step 2: 360 - 192 = 168

Step 3: 168 / 2 = 84

7 0

4 years ago

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