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3 years ago

Please help! Evaluate xyz if x= 2. y=-5, and z=-9

Mathematics

2 answers:

ruslelena [56]3 years ago

7 0

Step-by-step explanation:

$\underline{ \underline{ \text{Given}} }:$

x = 2 , y = -5 & z = -9

$\underline{ \underline{ \text{To \: find}}} :$

Value of xyz

$\underline{ \underline{ \text{Solution}}} :$

Plug the values of x , y & z in the given expression and then multiply !

⇾ $\tt{2 \times ( - 5) \times ( - 9)}$

⇾ $\tt{( - 10) \times ( - 9)}$

⇾ $\tt{90}$

$\red{ \boxed{ \boxed{ \text{Our \: final \: answer : \boxed{ \underline{ \tt{ 90}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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marusya05 [52]3 years ago

4 0

Answer:

Step-by-step explanation:

Just multiply what the variables equal to

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3 years ago

Find the second, fourth, and eleventh terms of the sequence A(n) = 5 + (n - 1)(-3)

klio [65]

Answer:

2nd: 2

4th: -4

11th: -25

Step-by-step explanation:

When you substitute a number into the equation you get that number term. So, if you substituted in 1, you get the first term. To find the second term, you substitute in 2:

A(2) = 5 + (2 - 1)(-3)

A(2) = 5 + (1)(-3)

A(2) = 5 - 3

A(2) = 2

To get the 4th term you substitute in 4:

A(4) = 5 + (4 - 1)(-3)

A(4) = 5 + (3)(-3)

A(4) = 5 - 9

A(4) = -4

And we do the same for the 11th term:

A(11) = 5 + (11 - 1)(-3)

A(11) = 5 + (10)(-3)

A(11) = 5 - 30

A(11) = -25

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3 years ago

What is x, if the volume of the cylinder is 768pi rcm3?

AVprozaik [17]

let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=8\\ h=x\\ V=768\pi \end{cases}\implies 768\pi =\pi (8)^2(x)\implies 768\pi =64\pi x \\\\\\ \cfrac{768\pi }{64\pi }=x\implies 12=x$