Yes I can help you with rational expressions and eplquations!
F(x)=2x-5
k(x)=f(x+3)=2(x+3)-5=2x+6-5=2x+1
k(x)=2x+1
Answer: 24 oz to lbs = 1.5 lbs in 24 oz. 32 oz to lbs = 2 lbs in 32 oz. 64 oz to lbs = 4 lbs in 64 oz.
Step-by-step explanation:
In 65 oz there are 4.0625 lb.
Which is the same to say that 65 ounces is 4.0625 pounds.
Using the formulas here: http://www.1728.org/diamform.htm
A) Volume = <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =
<span>
<span>
<span>
500.0011692175
</span>
</span>
</span>
radius =
<span>
<span>
<span>
22.3607059195
</span>
</span>
</span>
radius (rounded) = 22.4 cm
B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base =
<span>
<span>
<span>
1,570.7963267949
</span>
</span></span><span><span>Area of base (rounded) =
</span>
1,570.8 square cm
</span>
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area =
<span>
<span>
<span>
1,125.9468070466
</span>
</span>
</span>
lateral area =
1,125.9 <span>square cm
D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span>
<span>
<span>
<span>
4,267.5
</span>
</span>
</span>
square cm
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
