how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?

Answers

Answer 1

Answer: The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.

To manufacture 24,000 of them, you need to start with at least

(24,000) x (0.015625) = 375 cubic inches.

I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.

I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges.

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while still in the hospital, the doctor writes an order for an antibiotic at 400mg / kg / day. You are nervous now because the nurse was wrong before. Assuming that you weigh 132 lb, determine how many milligrams should you be given. What is the equivalent number of grams? ( Hint: 1000mg = 1 g and mg / kg / day = mg/ kg × day)

Answers

Answer:

Patient will require 23950 mg or 23.95 gm of the antibiotic per day.

Step-by-step explanation:

The doctor has written an antibiotic at 400 mg per Kg body weight per day (400 mg/Kg/day).

Weight of patient is 132 lb.

So we will convert it into kilograms.

Since 1 lb = 0.4536 Kg

Therefore, 132 lb = 132 × 0.4536

= 59.875 kg

Weight of the patient is 59.875 kg

Now we can calculate the dose of the antibiotic by this weight of the patient.

∵ 1 Kg patient requires dose of antibiotic = 400 mg

∴ 59.875 Kg patient will require the dose = 400 × 59.875

= 23950 mg

We know 1 mg = $(1)/(1000)$ gms

So 23950 mg = $(23950)/(1000)$ gms

= 23.95 gm per day

Therefore, patient will require 23950 mg or 23.95 gm of the antibiotic per day.

123 lb * (0.4536 kg/lb) * 300mg/(kg · day) = (123 * 0.4536 * 300) mg/day = 16737.84 mg/day 16737.84 mg/day * 1g/(1000mg) = 16.73784 g/day

5x + 5/4 = x − 3/9 please show work

Answers

5x + 5/4 = x - 3/9

5•x + 5/4 = x - 3/9

144x = -57

x = -19
48
≈ -0.395833

Which word best describes the degree of overlap between the two data sets?A.
high

B.
moderate

C.
low

D.
none

Answers

The right answer for the question that is being asked and shown above is that: "C. Low." The word that best describes the degree of overlap between the two data sets is low. The overlap is not that big enough or nothing at all. It is just low.

What statement makes the open sentence 12 + 3x = 30 true?

Answers

Answer:

x=6

Step-by-step explanation:

We have the equation 12+3x=30, we need to calculate the value of x:

$12+3x=30$ , subtract 12 in both sides

$12+3x-12=30-12$

$3x=18$ , divide both sides in 3

$(3x)/(3)=(18)/(3)$

$x=6$

Now to see if this statement is true we have to replace in 12+3x=30 with x=6,

$12+3x=30\n12+3.6=30\n12+18=30\n30=30$

Then x=6 makes the sentence true.

Okay, so the three x right? It means 3*x=y+12. So 30-12 is? 18, 18/3 is 6, so: 12+3*6=30.

What value of x makes the equation true? 42/54= x/9 A. 2 B. 7 C. 14 D. 36

Answers

B) 7 would make it true, since both 42/54 and 7/9= 0.77 repeating

If the velocity of a car on a timed test drive on an airfield is given by the function:V= 24t - 3t(squared)
Where v is in m/s and t is in seconds
Starting from rest, the car comes to rest again after 8 seconds. How far has it travelled during that time?

Answers

The graph of the car's speed is a piece of an inverted parabola,
that cuts the time axis at zero and at 8 sec.

The distance the car travels during that 8 seconds is the area
between the parabola and the time axis. If you intend to calculate
it, then I'm afraid you're going to need to integrate the speed function.

   V = 24t - 3t²

Distance = integral of (24t - 3t²), evaluated from zero to 8 seconds.

Integral of (24t - 3t²) =

   t²/2 - 3t³/3 = 12t² - t³

Evaluated between zero and 8 seconds, the integral is

   12(8²) - (8)³ =

   768 - 512 = 256 meters .

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The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 . What is the value of b?