Answer:
$75
Step-by-step explanation:
15 x 5 = 75
trust me bro :)
Answer:
a) How many minutes does it take to make one balloon sculpture?
= 4 minutes
b) How many balloons are used in one sculpture?
= 6 balloons
Step-by-step explanation:
In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures.
a) How many minutes does it take to make one balloon sculpture?
22 identical balloon sculptures = 88 minutes
1 balloon sculpture = x
x = 88 minutes/22
x = 4 minutes
b) How many balloons are used in one sculpture?
22 balloon sculptures = 132 balloons
1 balloon sculpture = x
Cross Multiply =
22x = 132 balloons
x = 132 balloons/22
x = 6 balloons
The equation that represents the <em>sinusoidal</em> function is ![x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3} \right)\right]](https://tex.z-dn.net/?f=x%28t%29%20%3D%20-8%20%2B%206.5%20%5Ccdot%20%5Csin%20%5Cleft%5B%5Cleft%28%5Cfrac%7B2%7D%7B3%7D%20%5Cpm%20%5Cfrac%7B4%5Ccdot%20i%7D%7B3%7D%5Cright%29%5Ccdot%20t%20%2B%20%5Cleft%28%5Cfrac%7B2%5Cpi%7D%7B3%7D%20%5Cpm%20%5Cfrac%7B7%5Cpi%20%5Ccdot%20i%7D%7B3%7D%20%20%5Cright%29%5Cright%5D)
, 
.
<h3>Procedure - Determination of an appropriate function based on given information</h3>
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline (
) and has both a maximum (
) and a minimum (
).
Sinusoidal functions have in most cases the following form:
(1)
Where:
- Angular frequency
- Angular phase, in radians.
If we know that 
, 
, 
, 
and 
, then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
, 
(2c)
, (3c)
And we proceed to solve this system:
, 
By (2c):
The equation that represents the <em>sinusoidal</em> function is , .
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372
Answer:
none of above because the correct equation is y= -3x+90
