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KengaRu [80]
3 years ago
5

What is the area of a triangle that has a heaight of 5 feet and a base length of 4 feet

Mathematics
2 answers:
guapka [62]3 years ago
3 0

Answer:

10ft²

Step-by-step explanation:

LUCKY_DIMON [66]3 years ago
3 0

Answer:

10 ft²

Step-by-step explanation:

base × height ÷ 2

4 × 5 ÷ 2 = 10

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Convert 13,000,000,000,000,000,000,000,000 to scientific notation.
jek_recluse [69]

Answer:

1.3 times 10 to the 25th power

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8 0
2 years ago
Read 2 more answers
Acrosonic's production department estimates that the total cost (in dollars) incurred in manufacturing x ElectroStat speaker sys
il63 [147K]

Answer:

a)  P(x)=-0.042x^2+530x-18000

b)  P'(x)=-0.084x+530

c)

P'(4000)=194

P'(9500)=-268

Step-by-step explanation:

a)

We know that Revenue is our total income and cost is our total cost. Thus, profit is what's left after cost is subtracted from Income (revenue). Thus, we can say:

P(x) = R(x) - C(x)

Finding Profit Function (P(x)):

P(x) = R(x) - C(x)\\P(x) = -0.042x^2+800x-(270x+18000)\\P(x)=-0.042x^2+800x-270x-18000\\P(x)=-0.042x^2+530x-18000

This is the profit function.

b)

The marginal profit is the profit earned when ONE ADDITIONAL UNIT of the product is sold. This is basically the rate of change of profit per unit. We find this by finding the DERIVATIVE of the Profit Function.

Remember the power rule for differentiation shown below:

\frac{d}{dx}(x^n)=nx^{n-1}

Now, we differentiate the profit function to get the marginal profit function (P'):

P(x)=-0.042x^2+530x-18000\\P'(x)=2(-0.042)x^1+530x^0-0\\P'(x)=-0.084x+530

This is the marginal profit function , P'.

c)

We need to find P'(4000) and P'(9500). So we basically put "4000" and "9500" in the marginal profit function's "x". The value is shown below:

P'(x)=-0.084x+530\\P'(4000)=-0.084(4000)+530\\P'(4000)=194

and

P'(x)=-0.084x+530\\P'(9500)=-0.084(9500)+530\\P'(9500)=-268

6 0
3 years ago
Anyone know this problem???
sammy [17]

Answer:

2

Step-by-step explanation:

\frac{28}{11} = 2.54545454.....

The repeating digits are 54 ← group of 2

4 0
2 years ago
Read 2 more answers
How many solutions does 3.2p-2.5+2.1p=5p-7/2
Sergio039 [100]

Answer:

-3.3...

Step-by-step explanation:

3.2p-2.5+2.1p=5p-7/2

3.2p+2.1p-5p=-7/2+2.5

5.3p-5p=-7/2+2.5

0.3p=-1

p=-1/0.3

p=-3.3

5 0
3 years ago
Number 3 (show work) :))
WINSTONCH [101]

(DVD player+ TV)=   49.36+705.20= 754.56

754.56/12=62.88

She will have to pay $62.88 each time

4 0
2 years ago
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