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3 years ago

The information below applies to a competitive firm that sells its output for $40 per unit.

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

On producing 150 units, its average total cost = $24.50

We need to find the total cost.

As we know that

$Average\ cost=\dfrac{Total\ cost}{No.\ of\ units}\\\\total\ cost=Average\ cost\times No.\ of\ units\\\\total\ cost=24.50\times 150\\\\total\ cost=\$3675$

Hence, total cost is $3675.00.

Therefore, Option 'c' is correct.

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Suppose that the functions u and w are defined as follows.

jasenka [17]

Answer(there are assumptions for this answer that you need to confirm and look at):

Assumptions: $u(x)=x^2+3$ and $w(x)=\sqrt{x+2}$

Answer if the operation is multiplication:

If you meant a closed dot which is the symbol for multiplication.

$(u \cdot w)(2)=14$

$(w \cdot u)(2)=14$

Answer if the operation is composition:

If you meant an open dot which is the symbol for composition.

$(u \circ w)(2)=7$

$(w \circ u)(2)=3$

Note: I don't know if you actually meant $w(x)=\sqrt{x+2}$ or if $w(x)=\sqrt{x}+2$ . Please let me know one way or the other.

Step-by-step explanation:

If we assume the functions are:

$u(x)=x^2+3$

$w(x)=\sqrt{x+2}$

$u \cdot w=w \cdot u$ since multiplication is commutative.

$u(2)=2^2+3$

$u(2)=4+3$

$u(2)=7$

$w(2)=\sqrt{2+2}$

$w(2)=\sqrt{4}$

$w(2)=2$

We are asked to find $(u \cdot w)(2)$ and $(w \cdot u)(2)$ .

The order doesn't matter in multiplication.

$(u \cdot w)(2)$

$u(2) \cdot w(2)$

$7 \cdot 2$

$14$

$(w \cdot u)(2)$

$w(2) \cdot u(2)$

$2 \cdot 7$

$14$

Now you might have meant composition which symbolized with an open circle, not a closed one.

$(u \circ w)(2)$

$u(w(2))$

$u(2)$ since $w(2)=2$

$2^2+3$

$4+3$

$7$

$(w \circ u)(2)$

$w(u(2))$

$w(7)$ since $u(2)=7$

$\sqrt{7+2}$

$\sqrt{9}$

$3$

6 0

3 years ago

A gardener planted 35 strawberry plants and each of 19 rows how many strawberry plant did

Delicious77 [7]

The gardener planted 665 strawberries

4 0

3 years ago

Read 2 more answers

Help me PLEASE here is the question I DONT UNDERSTAND IT

Anuta_ua [19.1K]

Answer: Circumference: 69.08 Area: 379.94

Step-by-step explanation:

5 0

2 years ago

Using the quadratic formula to solve 5x = 6x2 – 3, what are the values of x?

elena55 [62]

6x2 -5x –3 = 0
a = 6 b=-5 and c=-3

x = [-b +-sq root (b² -4ac)] / 2a
x = [--5 +-sq root (25 -4*6*-3)] / 2*6
x = [5 +- sq root (25 +72)] / 12
x = [5 +- sq root (97)] / 12

x1 = [5 + 9.8488578018 ] / 12
x1 = 14.8488578018 / 12
x1 = 1.2374048168 

x2 = [5 - 9.8488578018 ] / 12
x2 = -4.8488578018 / 12
x2 = -0.4040714835

5 0

3 years ago

The amount of time it takes to see a doctor a CPT-Memorial is normally distributed with a mean of 33 minutes and a standard devi

Eva8 [605]

Answer:

a) Z-score = 0.75

b) Z-score = -32.833

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 33

Given a standard deviation of the Population = 12

Let 'X' be a random variable in a normal distribution

Let 'X' = 42

Step(ii):-

$Z = \frac{x-mean}{S.D}$

$Z = \frac{42-33}{12} = 0.75$

Step(iii):-

Given that mean of the Population = 89

Given a standard deviation of the Population = 1

Let 'X' be a random variable in a normal distribution

Let 'X⁻ = 82

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{82-89}{\frac{1}{\sqrt{22} } } = -32.833$

Z-score = -32.833

7 0

3 years ago