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2 years ago

Solve the equation for the given variable. * 3(x + 4) – 2 = 10

Mathematics

1 answer:

algol132 years ago

6 0

Answer: 0

Step-by-step explanation:

3)(x)+(3)(4)+−2=10

(3x)+(12+−2)=10

3x+10=10

3x+10−10=10−10

3x=0

3x/3 = 0/3

x=0

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The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

2 years ago

Plss help i beg you!

frosja888 [35]

Answer:

Step-by-step explanation:

<u>Given expression:</u>

3(x + y) +2x² + (1 + y)²

<u>Find its value when x = 4 and y = 1, substitute:</u>

3(4 + 1) + 2*4² + (1 + 1)² =
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2 years ago

What is the area of 3 5\7ft by 2 6\7ft

erica [24]

3 5/7 x 2 6/7
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2 years ago

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math

Scorpion4ik [409]

Answer:

Exponents

Step-by-step explanation:

exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.

Exponents can also be defined as 10 raised to a power x whether positive or negative

$10 {}^{x}$

They are mostly used in expressing units in standard form.

<h3>examples of basic positive exponents</h3>

${10}^{2} = 100$

$10 {}^{3} = 1000$

${10}^{4} = 10000$

${10}^{5} = 100000$

basically the power represent the the number of zeroes after the 1.

<h3>examples of basic negative exponents</h3>

${10}^{ - 2} = 0.01$

${10}^{ - 3} = 0.001$

${10}^{ - 4} = 0.0001$

$10 ^{ - 5} = 0.00001$

in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.

this is the basic lay down of how exponent work but one more quick example for maximum understanding

<h3>quick example</h3>

$4 \times {10}^{4} = 0.0004$

$4 \times {10}^{4} = 40000$

$8.69 \times 10 {}^{ - 3} = 0.00869$

$8.69 \times 10 {}^{ 3} = 8690$

hope you grasp the concept involved in multiplication with other terms.

cheers

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2 years ago

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Diano4ka-milaya [45]

Answer:

x = - 6

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Step-by-step explanation:

See attached worksheet.

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1 year ago