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3 years ago

Evaluate the expression when x=-1 and y= -8 z=1/4xyz

Mathematics

1 answer:

mr_godi [17]3 years ago

5 0

Substitute the values of x, y and z to the expression:

$x=-1,\ y=-8,\ z=\dfrac{1}{4}\\\\xyz=(-1)(-8)\left(\dfrac{1}{4}\right)=(8)\left(\dfrac{1}{4}\right)=\dfrac{8}{4}=2$

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The surface area of the solid is about ____ inches squared

Dafna11 [192]

Answer:

Surface area of the whole figure $= 320.28inch^2$

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch and Height of cylinder=13 inch

Surface area of the cylinder with one circular face

$=2\pi rh+\pi r^2$

As, $\pi =\frac{22}{7}= 3.14$

$=(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2$

Surface area of the cone excluding base:

$=\pi *r*l$

l= slant height=5 inch r= radius= 3 inch

Surface area of the cone = $3.14*3*5$

$=47.1inch^2$

Total surface area of the whole figure $=273.18+47.1$

$= 320.28inch^2$

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3 years ago

A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t

MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = $53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})$

now,

at height 53 above the ground, we get the equation as:

53 = $53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$

$50\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 53 - 53

$\sin(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = 0

$\frac{\pi t}{16} = \frac{\pi}{2}$

t = 8 seconds

and,

$(\frac{\pi t}{16} - \frac{\pi}{2})$ = π

$\frac{\pi t}{16}= \pi + \frac{\pi}{2}$

$\frac{\pi t}{16}= \frac{3\pi}{2}$

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

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3 years ago

9. Given 8x+4y = 4, identify the slope and y-intercept.

Elden [556K]

Answer:

A) Slope = -2 and y-int = 1

Step-by-step explanation:

The easiest way to get the slope and y-intercept from an equation is to put it in slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

So, let's subtract 8x from both sides, leaving 4y on the left side:

8x + 4y = 4 -> 4y = -8x + 4

Now, let's divide both sides by 4, so that we can have just y on the left side:

y = -2x + 1

-2 is the slope, and 1 is the y-intercept.

3 0

3 years ago

What’s the answer ? I’m stuck

Law Incorporation [45]

Angle M equals 45°
Angle N equals 15°

3 0

3 years ago

answer asap!!!! How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk w

maxonik [38]

Answer:

0.89h or 53 minutes

Step-by-step explanation:

2m/h / 2.25m

= 0.89h

4 0

3 years ago

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