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3 years ago

Natalie is in the business of manufacturing phones. She pays a cost of $50 per

Mathematics

1 answer:

Trava [24]3 years ago

5 0

Answer:

C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

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Estimate the quotient for 469.4÷62

Alex Ar [27]

Answer:

469.4/62=7.57

Step-by-step explanation:

its the correct answer

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ZanzabumX [31]

Here is a note: the sum of the 2 shorter sides have to be greater than the longest side. Sorry that i cant help more.

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3 years ago

A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h a

kkurt [141]

Answer:

$b=h=\sqrt{6}$ m

Step-by-step explanation:

Let

Bas length of box=b

Height of box=h

Material used in constructing of box=36 square m

We have to find the height h and base length b of the box to maximize the volume of box.

Surface area of box= $2b^2+4bh$

$2b^2+4bh=36$

$b^2+2bh=18$

$2bh=18-b^2$

$h=\frac{18-b^2}{2b}$

Volume of box, V= $b^2h$

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$V=b^2\times \frac{18-b^2}{2b}$

$V=\frac{1}{2}(18b-b^3)$

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$\frac{dV}{db}=\frac{1}{2}(18-3b^2)$

$\frac{dV}{db}=0$

$\frac{1}{2}(18-3b^2)=0$

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$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

The negative value of b is not possible because length cannot be negative.

Again differentiate w.r.t b

$\frac{d^2V}{db^2}=-3b$

At $b=\sqrt{6}$

$\frac{d^2V}{db^2}=-3\sqrt{6}$

Hence, the volume of box is maximum at $b=\sqrt{6}$ .

$h=\frac{18-(\sqrt{6})^2}{2\sqrt{6}}$

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$h=\frac{12}{2\sqrt{6}}$

$h=\sqrt{6}$

$b=h=\sqrt{6}$ m

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3 years ago

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pishuonlain [190]

Answer:

Choice B.

Step-by-step explanation:

2.98 divided by 6 = 0.4966∞ (rounded to the nearest hundredths) 0.50

7.18 divided by 13 = 0.5523076923 (rounded to the nearest hundredths) 0.55

The difference is 5 cents.

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