Multiply (5 × 104)(7 × 103), express in scientific notation.

A market analyst has projected that the cost of producing d dog leashes will be given by the polynomial 9000 + 3.2d. The revenue

Sholpan [36]

Answer:

C. $-0.00005d^2+11.8d-9000$

Step-by-step explanation:

Given:

Cost Price for producing 'd' dog lashes = $9000+3.2d$

Revenue Generated from selling 'd' dog lashes = $d(15-0.00005d)$

We need to find the profit earned from producing and selling 'd' dog lashes.

Solution:

Now we know that;

profit earned from producing and selling 'd' dog lashes can be calculated by Subtracting Cost Price for producing 'd' dog lashes from Revenue Generated from selling 'd' dog lashes.

framing in equation form we get;

Profit earned = $d(15-0.00005d)-(9000+3.2d)$

Now Applying Distributive property we get;

Profit earned = $15d-0.00005d^2-9000-3.2d$

Now Combining like terms we get;

Profit earned = $-0.00005d^2+15d-3.2d-9000$

Profit earned = $-0.00005d^2+11.8d-9000$

Hence Profit earned from producing and selling 'd' dog lashes is $-0.00005d^2+11.8d-9000$ .

3 0

3 years ago

PLEASE HELP ASAP I WILL AWARD BRAINLIEST

Eva8 [605]

Answer:

None of the Above

Step-by-step explanation:

Key Skills required are: One Variable Equations, Supplementary Angle Pairs, Substitution, and Triangles.

1) To find the measure of Angle C, we first need to find the measure of angle DBC and Angle D.

2) We are given that Angle EBA is x and Angle EBD is 4x+13 and Angle D is 3x + 9 (we will use Angle D later in the problem)

3) Now, we need to use the fact that Angle EBA and Angle EBD are supplementary (they form a linear pair, so they are supplementary).

A pair of supplementary angles add up to 180 degrees (as they form a straight angle).

4) x + 4x + 13 = 180

5) Combine like terms --> 5x + 13 = 180

6) Move 13 to the other side --> 5x = 167

7) Divide by 5 and solve for x: x= 33.4

8) Now we got that x is 33.4, we can get the measure of angle DBC and Angle D.

9) Angle DBC is congruent to Angle EBA. So to find the measure of DBC we need to find the measure of Angle EBA. EBA is just x, so it is 33.4 degrees

10) Therefore, Angle DBC also measures 33.4 degrees.

11) To find angle D, we substitute x into 3x + 9 (We are given angle D is 3x + 9 based on the problem)

12) 3(33.4) + 9 = 100.2 + 9 = 109.2

13) Now we use the interior angles sum of a triangle to find Angle C.

The interior angles of a triangle sum up to 180 degrees.

14) With the statement above we can make this equation: 109.2 + 33.4 + Angle C = 180

15) Simplify by combining like terms: 142.6 + Angle C = 180

16) 37.4 degrees would be the measure of C, so I feel it would be none of the above.

Hope you understood and have a nice day!! :D

4 0

3 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term of 2?

Citrus2011 [14]

The easiest way to answer this is to try all choices, plug in values for the 1st term and 2nd term then check if the answer matches with 5 and 2. (n = 1 and n = 2)

We know that n starts with 1 because that is our 1st term, we do not have 0th term, therefore that leaves us with 2 choices.

Choice 1: an = 5 − 2(n − 1); all integers where n ≥ 1

n = 1

a1 = 5 – 2 (1 – 1) = 5 – 2 (0)

a1 = 5

n = 2

a2 = 5 – 2 (2 – 1) = 5 – 2 (1)

a2 = 3 (FALSE!)

Choice 2: an = 5 − 3(n − 1); all integers where n ≥ 1

n = 1

a1 = 5 – 3 (1 – 1) = 5 – 3 (0)

a1 = 5

n = 2

a2 = 5 – 3 (2 – 1) = 5 – 3 (1)

a2 = 2 (TRUE)

Therefore the correct answer is:

an = 5 − 3(n − 1); all integers where n ≥ 1

8 0

4 years ago

Read 2 more answers

Geometry Solve for x. Round to the nearest tenth, if necessary. Bottom letter is F

german

Answer:

1. $x \approx 229.8$

2. $x \approx 2.6$

Step-by-step explanation:

1. We can use the following trigonometric ratio since we are given the adjacent side and need to find the hypotenuse from the angle:

$cos(x) = \frac{adjacent}{hypotenuse}\\cos(72) = \frac{71}{x}\\x = \frac{71}{cos(72)}\\x \approx 229.8$

2. We can use the following trigonometric ratio since we are given the adjacent side and need to find the opposite from the angle:

$tan(x) = \frac{opposite}{adjacent}\\tan(43) = \frac{x}{2.8}\\x = tan(43) \times 2.8\\x \approx 2.6$

8 0

2 years ago

Jake buys a car for $1500 and sells it for $1800. What is Jake’s percentage profit?

Westkost [7]

step by step explanation:

Jake brought a car = 1500rs

Jake sell the car = 1800

profit = sp-cp

so profit = 1800-1500 = 300

profit percent = gain/cp×100

profit percent = 300/1500×100

profit percent = 20% (double zero are cancel and 300 divided by 15)

7 0

2 years ago