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STatiana [176]
4 years ago
13

Evaluate the following expression using the values given:

Mathematics
1 answer:
Free_Kalibri [48]4 years ago
7 0

x^3 − 2y^2 − 3x^3 + z^4

Plug in 3 for x, 5 for y, and -3 for z (given)

(3)^3 -2(5^2) - 3(3^3) + (-3)^4

Simplify

(3)^3 = 3 x 3 x 3 = 27

-2(5^2) = -2 x 25 = -50

-3(3^3) = -3 x 27 = -81

(-3)^4 = -3 x -3 x -3 x -3 = 9 x 9 = 81

Combine all the terms

27 + (-50) - 81 + 81

27 - 50 - 81 + 81

-23 + 0

-23

-23, or (C) is your answer

hope this helps

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Niklas takes a dose of 25 micrograms of a certain supplement each day. The supplement has a half life of 4 hours, meaning that 1
MrRa [10]

Answer:

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.

Step-by-step explanation:

Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.

i.e     \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} =  \frac{1}{64}

The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;

                   = \frac{1}{64} × 25

                  = 0.390625 micrograms

He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;

                 amount in his body per day × number of period for complete decay

                   = 0.390625 × 11

                  = 4.296875

The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.

3 0
3 years ago
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what
lora16 [44]

Answer:

The minimum cost per unit is obtained for an order of 8 units.

Step-by-step explanation:

Since the total cost is modeled by;

C(x)=5x²+320

Then;

1 unit costs; C(x)=5(1)²+320 = 325

cost per unit 325/1 = 325

8 units costs; C(x)=5(8)²+320 = 640

cost per unit = 640/8 = 80

80 units costs; C(x)=5(80)²+320 = 32320

Cost per unit = 32320/80 = 404

The minimum cost per unit is obtained for an order of 8 units.

7 0
3 years ago
12 m<br> 15 m<br> 8 m<br> 5 m<br> 5 m
BARSIC [14]

Answer:

Here is your Answer

Step-by-step explanation:

27

6 0
3 years ago
What is the value of x in the following equation? 2(x-3)+3=6x-5<br> x=2<br> x=-2<br> x=1/2<br> x=4
creativ13 [48]

x=1/2

don't mind the dirty white board lol

6 0
2 years ago
Read 2 more answers
An average caiman is 8.2 feet long. An average butterfly has a wingspan of 3.7 inches long. How many butterflies could fit along
Basile [38]
Two of butterflies, side by side, would be abot 7.4 together. 8.2 - 7.4 = 0.8.
that 0.8 is roughly 1/3 of a butterfly. so 2 full butterflies and 1/3. rounding off, it would just be two butterflies.
8 0
4 years ago
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