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2 years ago

The functions f(x) and g(x) are described using the following equation and table:

Mathematics

1 answer:

Yakvenalex [24]2 years ago

6 0

The correct answer is D

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How much does a glass cube with a side of 5-cm weigh if 1cm3 of glass weighs 2 2/5 grams?

PtichkaEL [24]

The weight of galss cube with side 5 cm is 300 grams

Solution:

A glass cube is of side length 5 cm

Let us first find the volume of glass cube

The volume of cube is given as:

$volume = (side)^3\\\\volume =5^3 = 125$

Thus volume of cube is 125 $cm^3$

Given that,

$1 cm^3 = 2\frac{2}{5} \text{ grams }\\\\1 cm^3 =\frac{12}{5} \text{ grams}$

So, weight of 125 cubic centimeter of glass cube is found by multiplying weight of 1 cubic centimeter of glass cube by 125

$\text{ Weight of 125 } cm^3 \text{ cube } = \text{ Weight of 1 } cm^3 \text{ cube } \times 125$

$\text{ Weight of 125 } cm^3 \text{ cube } = \frac{12}{5} \times 125 = 25 \times 12 = 300$

Thus weight of galss cube with side 5 cm is 300 grams

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2 years ago

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True or false: if x=1, then x>0. If false, give a counterexample.

UkoKoshka [18]

True
because u gotta think about it like that for more then 5 seconds

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What is (2+y)³ written out? 8 + 12y + 6y² + y³ 6 + 8y + 4y² + y³

AveGali [126]

$\boxed{(2+y)^3-cube\ the\ sum\ of\ the\ numbers\ 2\ and\ y}$

$Use:\ (a+b)^3=(a+b)(a+b)(a+b)=a^3+3a^2b+3ab^2+b^3\\----------------------------\\(2+y)^3=2^3+3\cdot2^2\cdot y+3\cdot2\cdot y^2+y^3=8+3\cdot4y+6y^2+y^3\\\\=8+12y+6y^2+y^3\\========================================$

$8+12y+6y^2+6y^3+8y+4y^2+y^3\\=8+(12y+8y)+(6y^2+4y^2)+(6y^3+y^3)\\=8+20y+10y^2+7y^3$

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2 years ago

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Find the value of sin 0 cos(90°- 0) + cos 0 sin(90°-0)

Step2247 [10]

Step-by-step explanation:

$sin \theta \: cos(90 \degree - \theta) + cos \theta \: sin(90 \degree - \theta) \\ = sin(\theta + 90 \degree - \theta) \\ = sin(90 \degree) \\ = 1$

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If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who

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