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3 years ago

Simplify the expression: 3(4d + 1)

Mathematics

2 answers:

Alexeev081 [22]3 years ago

3 0

Answer:

12d+3

Step-by-step explanation: multiply 3x4d and 3x1 and you get 12d+3

Alex Ar [27]3 years ago

3 0

Answer:

12d + 3

you have to multiply 3 times both of the numbers

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3 years ago

Find the volume of the solid generated by revolving the region bounded by the lines and curves about the x-axis. y = x, y =1, x

liraira [26]

Answer:

The volume is: $V = \frac{\pi}{3}$ cubic units

Step-by-step explanation:

Volume of a solid:

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

$V = \pi \int_{a}^{b} (f(x))^2 dx$

y = x, y =1, x = 0

This means that the upper function is y = 1, and the lower function is y = x. So

$f(x) = (1 - x)$

The lower limit of integration is x = 0.

The upper limit is y = x when y = 1, so x = 1.

Then

$V = \pi \int_{a}^{b} (f(x))^2 dx$

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$V = \pi \int_{0}^{1} (1-2x+x^2) dx$

$V = \pi (x-x^2+\frac{x^3}{3})|_{0}^{1} dx$

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$V = \frac{\pi}{3}$

8 0

3 years ago

Evaluate 2/3 + 1/3 + 1/6 + … THIS IS CONTINUOUS. It is NOT as simple as 2/3 + 1/3 + 1/6.

Vlada [557]

$a=\dfrac{2}{3}\\r=\dfrac{1}{2}$

The sum exists if $|r|$

$\left|\dfrac{1}{2}\right|$ therefore the sum exists

$\displaystyle\\\sum_{k=0}^{\infty}ar^k=\dfrac{a}{1-r}$

$\dfrac{2}{3}+\dfrac{1}{3}+\dfrac{1}{6}+\ldots=\dfrac{\dfrac{2}{3}}{1-\dfrac{1}{2}}=\dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}=\dfrac{2}{3}\cdot 2=\dfrac{4}{3}$

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3 years ago

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Georgia [21]

Answer: Yes.

Step-by-step explanation:

One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.

Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.

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3 years ago

Now, it’s time to take a break! Let’s have a class picnic! Our school cafeteria sent a big cooler

larisa [96]

Answer:

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Step-by-step explanation:

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3 years ago

Simplify the expression: 3(4d + 1) ​

Simplify the expression: 3(4d + 1)