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3 years ago

What is 24 pack of Mountain Dew for $9.99 or a 12 pack of Mountain Dew for $5.99?

Mathematics

2 answers:

Nostrana [21]3 years ago

8 0

Answer:

I say get the 24 pack for 10 dollars.

Step-by-step explanation:

Yes it may be 4 dollars extra but your getting 12 extra bottles for a little over half the prize!

Ainat [17]3 years ago

5 0

I think it may be 2 but I’m not too sure about it

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Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie

Yakvenalex [24]

Volume of the pyramid:

$V=\dfrac{s^2h}3$

Perimeter of the cross-section:

$40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)$

$\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}$

Area of the cross-section:

$P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}$

$\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}$

First derivative test:

$\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3$

Then the height of the cross-section/pyramid is

$h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}$

The volume of the pyramid that maximizes the cross-sectional area $P$ is

$V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}$

5 0

3 years ago

A scientist measures a substance to be 0.6 grams. Calculate the percent of error in the measurement. Show all work for full cred

Anni [7]

A measurement of 0.6 grams means that the 'true' answer lies between
0.55 and 0.65 

In general, the uncertainty in a single measurement from a single instrument is half the least precise decimal given for the instrument.
The precision for this measurement is in the tenths place.
so we take 0.1 /2 = 0.05, and divide by the measurement

0.05 / 0.6 = 0.08333 = 8.3 %

6 0

4 years ago

Need help !Which picture shows the correct graph of |x| = 3?

lana66690 [7]

Answer:

F. Picture F

Step-by-step explanation:

4 0

3 years ago

I really don't understand this

RoseWind [281]

Answer:

-1

Step-by-step explanation:

The mean is the sum of all values divided by the amount of values.

We take the sum of all the numbers:

-3 + -8 + 12 + -15 + 9

-11 + 12 + -15 + 9

1 + -15 + 9

10 + -15

-5

We then divide the sum by how many number we have (we are given 5 numbers):

-5/5 = -1

Therefore, our mean is equal to -1.

6 0

4 years ago

Read 2 more answers

Which equation describes a line parallel to y= 4x+ 5 through point (-2, 1)?

Tema [17]

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

$\large\boxed{y - y_1 = m(x - x_1)}$

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

$y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)$

Simplify:

$y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}$

8 0

2 years ago