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3 years ago

20 points

Mathematics

1 answer:

fenix001 [56]3 years ago

4 0

Answer:

0.125kg

Step-by-step explanation:

an equation can be made from teh problem

f(x)=1(0.5)^(x/5.3)

x is the amount of years

plug in 15.9 for x

f(15.9)=0.125

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Construct a quadrilateral ABCD in which AB = 4 cm, BC = 7 cm, angle A = angle C = 105 degree

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<u>Step-by-step explanation:</u>

Since A = C = 105° and D = 60°,

then A + B + C + D = 360°

105° + B + 105° + 60° = 260°

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B = 90°

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4 years ago

6 divided by 2 and 1 fourths.<br> FULL ANSWER

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3 years ago

Ben ran 3/10 of a mile. Shelly ran 8/10 of a mile. How many more miles did Shelly run than Ben? A) 11/10 B) 11/20 C) 5/0 D) 5/10

attashe74 [19]

Hello there! Shelly ran D) 5/10 more miles than Ben.

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8/10 - 3/10 = 5/10

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8 0

3 years ago

F(7) if f(x)=-3x-2

Paul [167]

Answer:

f(7) = -23

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4 0

3 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

3 years ago