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2 years ago

The watch Bea would like to buy costs $10 less than 2

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer: Bea has $30 saved

Step-by-step explanation:

Add 10: 50+10=60

Divide by 2: 60/2=30

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What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x − 3 5 )? A) translate vertically 3 5 un

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Translates horizontally 3.5 units right.

3 0

2 years ago

cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

2 years ago

Let a=x^2+4. Use a to find the solutions for the following equation:

Helga [31]

(x^2+4)^2 + 32 = 12x^2 + 48 .... a = x^2 + 4
(x^2 + 4)^2 + 32 = 12(x^2 + 4) 
a^2 + 32 = 12a 
a^2 - 12a + 32 = 0 
(a - 8)(a - 4) = 0 
a = 8 and a = 4 

for a = 8 ... 8 = x^2 + 4 ... x^2 = 4 ... x = +/- 2 
for a = 4 ... 4 = x^2 + 4 ... x^2 = 0 ... x = 0 

x = -2, 0, +2 so your answer is going to be e

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