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2 years ago

You speak to a business owner that is taking in almost $2,000 in revenue each month. The owner still says that they're

Mathematics

1 answer:

choli [55]2 years ago

4 0

Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

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What is the value of y?<br><br> Please show work of how you solved! Thankyou

kap26 [50]

$log_4(y+2)=3$
raise each side to base 4
$4^{log_4(y+2)}=4^3$
simplify
$(y+2)}=64$ using the law of logarithms $a^{log_ab}=b$
=>
y=62

6 0

3 years ago

What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following

skelet666 [1.2K]

For this case we have the following expression:

$x ^ 2-4x + 10 = 4x + 10$

We follow the steps below:

We subtract 4x on both sides of the equation:

$x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10$

We subtract 10 from both sides of the equation:

$x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0$

Now, we must complete squares.

When we have an equation of the form:

$ax ^ 2 + bx + c = 0$ , if we want to complete squares we must subtract c on both sides of the equation obtaining:

$ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c$

The square is completed by adding to both sides of the equation: $(\frac{b}{2})^{2}$

So, we have left:

$ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}$

In the given expression we have:

$a = 1\\b = -8\\c = 0$

And to complete the square we have:

$(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16$

Rewriting we have:

$x ^ 2-8x + 16 = 16$

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

$-4-4 = -8\\-4 * -4 = 16$

So, we have:

$(x-4) (x-4) = 16\\(x-4) ^ 2 = 16$

Answer:

The intermediate step is to complete squares

$(x-4) ^ 2 = 16$

7 0

4 years ago

molly is painting a model house and needs to know how much paint she will need. she knows the surface area of the prism is 216 s

Andrej [43]

Answer:

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid.

Part 2) The dimensions of this surface are 6 in x 6 in.

Part 3) Molly needs to paint 228 square inches.

Step-by-step explanation:

Part 1) Which surface is shared by the two solids?

we know that The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) What are the dimensions of this surface?

The surface is a square with side length 6 inches so The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids so therefore, Molly needs to paint 228 square inches

8 0

3 years ago

The quotient of h and 4 is 5 less than h

Genrish500 [490]

Answer:

h/4=h-5

Step-by-step explanation:

quotient means divide

less means subtract

is means equal

5 0

3 years ago

Mr. Vogel is riding the stationary bike at the gym. He completes 41 1/2 wheel rotations even 1/3 minute. what Mr Vogel's unit ra

Eva8 [605]

1/3times3=3/3 3/3 is the same as a whole so do 41 and 1/2 times 3 this gets you an answer of 124.5 meaning the unit 124.5x he makes 124.5 rotations per minute

4 0

3 years ago