Answer:
D., x= 19.7 or ≈20. g
Step-by-step explanation:
P(x) = [100(15+x)]/(100+x)
When 0 g additional salt is added, x=0. we have
P(0) = [100(15+0)]/(100+0)= 15
x=0, P=15
We can see this point only on the graph D.
P(x) =29 = [100(15+x)]/(100+x)
29 = [100(15+x)]/(100+x)
29(100+x) = 100(15+x)
2900+29x = 1500+100x
2900-1500=100x-29x
1400 = 71x
x ≈ 19.7 g or ≈20. g
From the graph D, we can see that to get 29% we need to add ≈ 20 g of salt.
Answer:
The three-dimensional figure is an octagonal prism
Step-by-step explanation:
<u><em>Verify each case</em></u>
<em>case a)</em> square prism
The net is made of 2 squares and 4 (rectangles or squares)
<em>case b)</em> square pyramid
The net is made of 1 square and 4 triangles
<em>case c)</em> octagonal prism
The net is made of 2 octagons and 8 (squares or rectangles)
<em>case d)</em> octagonal pyramid
The net is made of 1 octagon and 8 triangles
therefore
The three-dimensional figure is an octagonal prism
Problem 1
<h3>Answer: D) 2pi</h3>
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Explanation:
The given table we have is
If you were to graph all those points and draw a cosine curve through them, then the function you should get is
The B coefficient is 1, so that leads to a period of
T = 2pi/B
T = 2pi/1
T = 2pi
=============================================
Problem 2
<h3>Answer: C)
343.134 yards</h3>
-------------------
Explanation:
Draw out a triangle with these properties
- side a = 270
- side b = 170
- angle C = 100
We'll use the law of cosines to find side c
c^2 = a^2 + b^2 - 2*a*b*cos(C)
c^2 = 270^2 + 170^2 - 2*270*170*cos(100)
c^2 = 117740.902710
c = sqrt(117740.902710)
c = 343.133943
c = 343.134
=============================================
Problem 3
<h3>Answer: A) 2</h3>
-------------------
Explanation:
If you started with y = sin(x) and applied the transformations stated, then you should end up with 
From here, plug in x = 0 to find the y intercept.
Let x=the amount of roses that Brad buys. (x+3)=the number of daisies that Brad buys.
x+(x+3)=33
Simplify this problem to find the amount of roses:
2x+3=33
2x=30
x=15
So, Brad buys 15 roses and 18 daisies.
Since roses cost $3, 15*3=45.
The roses cost $45.
Hope this helps! :)
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
brainly.com/question/1972490
