3 years ago

3x + 1 over 4y2

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

$\frac{5}{32}$

Step-by-step explanation:

given $\frac{3x+1}{y^{2} }$

substitute x = 3 and y = 4 into the expression

= $\frac{3(3)+1}{4(4)^{2} }$

= $\frac{9+1}{4(16)}$ = $\frac{10}{64}$ = $\frac{5}{32}$

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Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches

marta [7]

Answer:

$V=152\pi in^{2}$ in terms or pi

$V=477.52in^{2}$ simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

$V=\pi r^{2} h$

where

$V$ is the volume of the cylinder

$r$ is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: $r=\frac{d}{2} =\frac{8in}{2} =4in$ . Now, 9 1/2 inches is 9 and a half inches, so $h=9.5in$ .

Replacing values:

$V=\pi (4in)^{2} (9.5in)$

$V=\pi (16in^{2})(9.5in)$

$V=152\pi in^{2}$

$V=477.52in^{2}$

We can conclude that the volume of our cylinder is $V=152\pi in^{2}$ in terms of pi, or $V=477.52in^{2}$ simplified.

4 0

3 years ago

Read 2 more answers

What two numbers equal the absolute value of 15

Drupady [299]

There is only one number that is equal to the absolute value of 15.
That number is 15.

But wait !

There are two different numbers WHOSE ABSOLUTE VALUES
are both 15.

Those numbers are 15 and -15 .

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3 years ago

2 times the sum of a number and 4 is no more than three times the sum of a number and 7 decreased by 4

anygoal [31]

$2(x+4) \geq 3((x+7)-4) \\ 2x+8 \geq 3(x+7)-12 \\ 2x+8 \geq 3x+21-12 \\ 2x+8 \geq 3x+9 \\ 2x \geq 3x+1 \\ -x \geq 1 \\ x \leq -1$