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Dmitrij [34]
3 years ago
11

Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters

and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
7 0

Answer:

1 g/cm³

Step-by-step explanation:

Volume of the model:

V=1/3bh= 1/3*100*6= 300 cm³

Density= weight/volume= 300 g/300 cm³= 1 g/cm³

The lowest density is 1 g/cm³

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Find the product of (4x − 3)(2x2 − 7x 1). 8x3 − 22x2 17x− 3 8x3 8x2 4x − 3 8x3 − 34x2 25x − 3 8x3 − 42x2 25x − 3.
Andrej [43]

Product of two polynomials can be done by distribution of multiplication over addition. The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a\times b + a\times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

(4x -3)(2x^2 -7x + 1) = 4x(2x^2 - 7x + 1) -3(2x^2 - 7x + 1)\\(4x -3)(2x^2 -7x + 1) = 8x^{1 + 2} - 28x^2 + 4x - 6x^2 + 21x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 + (-28-6)x^2 + (4 + 21)x - 3\\(4x -3)(2x^2 -7x + 1) = 8x^3 - 34x^2 + 25x - 3

Thus,

The product of  (4x -3)(2x^2 -7x + 1) is 8x^3 - 34x^2 + 25x - 3

Learn more about polynomial product here;

brainly.com/question/9106484

3 0
2 years ago
A store is having a sale on shirts. the sale is buy one shirt and get one 50% off. the original price of on shirt is $34.98. ros
andreev551 [17]

Answer:

12 shirts

Step-by-step explanation:

find the price of 2 shirts:

(1/2 x 34.98)+34.98=52.47

for every 2 shirts she buys, she pays $52.47

314.82/52.47=6

she bought 6 pairs= 12 shirts

3 0
3 years ago
(√2)^3<br><img src="https://tex.z-dn.net/?f=%20%28%5Csqrt%7B2%29%20%7B%3F%7D%5E%7B3%20%5C%5C%7D%20" id="TexFormula1" title=" (\s
Vedmedyk [2.9K]

\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf

\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}

5 0
2 years ago
sweet t has 2 orange picks for every five green. if there are 21 picks in all, how many picks are orange
jarptica [38.1K]
21 picks
altogether (2x+5x)=21
7x=21
x=3
2*3=6 orange picks

or
x=orange, y = greens
x+y=21
x/y=2/5,---->   y=5x/2
x+5x/2=21
2x/2+5x/2=21
7x/2=21
7x=42,
x=6  orange picks





3 0
2 years ago
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morpeh [17]

Answer: C

Step-by-step explanation: It's the most logical.

and don't lie. We all know you watch dora more.

5 0
2 years ago
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