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2 years ago

There were 10 students in a teacher's classroom. The next week, there were 17 students. What is the percent increase

Mathematics

1 answer:

kondaur [170]2 years ago

6 0

The answer is 58 students

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How do you evaluate a polynomial function?

amm1812

Step-by-step explanation:

Replace each x in the expression/equation with the given value. Then use order of operations to simplify and solve. There are some great videos out there explaining the concept.

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3 years ago

Simplify<br> Enter answer in box:

lesantik [10]

(3/5 + -1/4)/(7/10)

get a common denominator of 20

3/5 * 4/4 =12/20

-1/4 * 5/5 = -5/20

7/10 *2/2 = 17/20

replace

(12/20 - 5/20)/(14/20)

add the top

(7/20)/(14/20)

copy dot flip

7/20 * 20/14

7/14

1/2

7 0

2 years ago

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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= $b^2h$

Substitute the values

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

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

Differentiate w. r.t b

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

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

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

$\implies 18-3b^2=0$

$\implies 3b^2=18$

$b^2=6$

$b=\pm \sqrt{6}$

$b=\sqrt{6}$

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 $b=\sqrt{6}$ .

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

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

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

$h=\sqrt{6}$

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

7 0

3 years ago

[(3•2+5)2]2-4 12356789

Gelneren [198K]

Answer:

−49427112 us the correct answer

8 0

2 years ago

8. Find the measure of the third angle of a triangle given that the first two angles are 44o and 72 o. Show your work.

iren [92.7K]

44+72=116

180-116=64

3rd angle=64

64+44+72=180

6 0

3 years ago

Read 2 more answers