3 years ago

L Practice & Problem Solving

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

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Write each power as a product of the same factor. Then find the value. 7^2

Anvisha [2.4K]

Answer:

Step-by-step explanation:

7^2=49

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2 years ago

What weight of dry substance is in 150g of a 3% substance solution? What weight of an 8% solution can we have with the same weig

Pavlova-9 [17]

The answers are: 4.5 g and 56.25 g respectively.

Since the first type of measurement in this question is weight or mass, I'll suppose that the percentage concentration is % mass/mass. For that type of concentration measurement, just multiply the percentage by the total mass to get the mass of the wanted material.
So 150 g * 3% = 150 g * 0.03 = 4.5g

For the 8% solution with the same amount of dry substance, use the ratio of percentages, multiplied by the mass of the first solution to get the wanted amount of new solution:
3/8 * 150 g = 56.35 g

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2 years ago

A conical paper cup has a radius of 2 inches. Approximate, to the nearest degree, the angle β (see the figure) so that the cone

Aneli [31]

I don't know where the angle β is, so I will make the assumption that tanβ = h/r
$V = \frac{1}{3} \pi r^{2} h$

V volume = 60
r radius = 2
h = r tanβ

$tan \beta = \frac{3V }{ \pi r^{3} } = \frac{ 180}{25,1} = 7,17 \\ \\ \beta = 82$

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3 years ago

Graph the line with the equation y = -x - 3.

larisa [96]

Answer:

Step-by-step explanation:

$y=-x-3$