mila has completed 4 birdhouses. thats is 40% of the bitdhouses she wants to build.how many birdhouses does she want to build

What is 200x149 who can answer that for me i need help on this my teacher said i cant use couculater

ehidna [41]

Answer:

29,800

Step-by-step explanation:

that will be 149 x 2 which equals 298

149

×2 Multiply 9 × 2 = 18

------ Keep the 8 carry the 1 multiply 4 by 2 then add 1 finally multiply 2 by 1

298

Then add two zeros at the end since we're multiplying a number with two zeros. (This method only works for numbers that end with zeros)

Final answer: 29800

3 0

2 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

a)

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

b)

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

c)

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

2 years ago

Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?

Vladimir [108]

If a function has roots -1 and -5, it must be in the form

$f(x)=a(x+1)(x+5)$

We can fix the coefficient a by imposing the passing through (0,-30):

$f(0)=-30=a(1)(5)\iff a=-6$

So, the function is

$f(x)=-6(x+1)(x+5)$

7 0

2 years ago

Approximately 3 out of every 25 Americans live in California. About 3 out of every 50 Americans live in New York, and about 2 ou

svet-max [94.6K]

Convert all statistics into percentages:

CA: 3/25=0.12 -> 12%

NY: 3/50=0.06 -> 6%

TX: 2/25=0.08->8%

(A) Out of the three states, California has the largest population

(B) Out of the three states, NY has the smallest population

(C) USA=100%, CA+NY+TX=26%, therefore 74% of USA do not live on those three states.

8 0

2 years ago

Let f(x) = 6x^2 + 5 and g(x) = 3x - 5. Find f(g(7)).

Vedmedyk [2.9K]

Answer:

D) 1541

Step-by-step explanation:

I like to answer it w without deriving the formula of f(g(x)). So, we go this way, you firstly have to find g(7) which will be equal to 3 * 7 - 5 = 16.

And then you find f(16) = 6*16*16+5 = 1541. That's all.

8 0

1 year ago