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Umnica [9.8K]
3 years ago
11

The cube has a volume of 27 in3. Find the volume of a scaled image with a scale factor of 2. in3 Cube with a side length of thre

e inches
Mathematics
1 answer:
WINSTONCH [101]3 years ago
7 0
The new size of cube's side is 6. V new cube = 6*6*6 = 216 

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100 points!!! Pre calculus. I need helpppppppppp
Fantom [35]

Answer:

We have function,

y = 3 - 6 \sin {}^{} (2x +  \frac{\pi}{2} )

Standard Form of Sinusoid is

y =  - 6 \sin(2x +  \frac{\pi}{2} )  + 3

Which corresponds to

y = a \sin(b(x + c))  + d

where a is the amplitude

2pi/b is the period

c is phase shift

d is vertical shift or midline.

In the equation equation, we must factor out 2 so we get

y =  - 6(2(x +  \frac{\pi}{4} )) + 3

Also remeber a and b is always positive

So now let answer the questions.

a. The period is

\frac{2\pi}{ |b| }

\frac{2\pi}{ |2| }  = \pi

So the period is pi radians.

b. Amplitude is

| - 6|  = 6

Amplitude is 6.

c. Domain of a sinusoid is all reals. Here that stays the same. Range of a sinusoid is [-a+c, a-c]. Put the least number first, and the greatest next.

So using that<em> rule, our range is [6+3, -6+3]= [9,-3] So our range</em> is [-3,9].

D. Plug in 0 for x.

3 - 6 \sin((2(0) +  \frac{\pi}{2} )

3 - 6 \sin( \frac{\pi}{2} )

3 - 6(1)

3 - 6

=  - 3

So the y intercept is (0,-3)

E. To find phase shift, set x-c=0 to solve for phase shift.

x +  \frac{\pi}{4}  = 0

x =  -  \frac{\pi}{4}

Negative means to the left, so the phase shift is pi/4 units to the left.

f. Period is PI, so use interval [0,2pi].

Look at the graph above,

6 0
2 years ago
3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
tatyana61 [14]
Ok so from experience on this site
3x2=3x^2
people don't know how to put exponents
3x^2-y^3-y^3-z
simplify first

3x^2-2y^3-z

x=3
y=-2
z=-5
3(3^2)-2(-2)^3-(-5)
3(9)-2(-8)+5
27+16+5
48
8 0
3 years ago
Identify the double displacement reaction.
Anit [1.1K]
A double replacement reaction occurs when the ionic parts of two ionic compounds are exchanged. 

Reaction 1 results in a product which is a single compound. No ionic parts are exchanged. 

Reaction 3 results in one compound being separated into its elemental parts. No ionic parts are exchanged. 

Reaction 4 has two reactants, but Pb is an element and not an ionic compound. No ionic parts are exchanged. 

Hence, the answer is Reaction 2. Both NaBr and Ca(OH)2 are ionic compounds. Br - is the anion in NaBr, and (OH)2 is also an anion. Ionic parts are exchanged. 
3 0
3 years ago
19 is 20%of what number
zloy xaker [14]

Answer:

19 is 20% of 95.

Step-by-step explanation:

6 0
3 years ago
a store sold a case of scented candles for$17.85 that had been marked up 110%. what was the original price
densk [106]
If 10% was added to the total (100%), then subtract 10% from 17.85.

17.85 * 0.1 = 1.785
17.85 - 1.785 = 16.065
$16.07
6 0
3 years ago
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