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Slav-nsk [51]
3 years ago
7

How many solutions exist for the mixed-degree system graphed below?

Mathematics
2 answers:
Likurg_2 [28]3 years ago
8 0
The answer is one solution. Hope this helps
babunello [35]3 years ago
5 0

Answer:

The answer is one.

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Novay_Z [31]
<h2>9.</h2><h3>Given</h3>
  • sphere with radius 15 cm
<h3>Find</h3>
  • linear approximation to the volume when the radius increases 0.4 cm
<h3>Solution</h3>

The equation for volume of a sphere is

... V = (4/3)π·r³

Differentiating gives

... dV = 4π·r²·dr

Filling in the given numbers gives

... change in volume ≈ 4π·(15 cm)²·(0.4 cm)

... = 360π cm³ ≈ 1130.97 cm³ . . . . . . volume of layer 4mm thick

<h2>11.</h2><h3>Given</h3>
  • an x by x by 2x cuboid with surface area 129.6 cm²
  • rate of change of x is 0.01 cm/s
<h3>Find</h3>
  • rate of change of volume
<h3>Solution</h3>

The area is that of two cubes of dimension x joined together. The area of each such cube is 6x², but the two joined faces don't count in the external surface area. Thus the area of the cuboid is 10x².

The volume of the cuboid is that of two cubes joined, so is 2x³. Then the rate of change of volume is

... dV/dt = (d/dt)(2x³) = 6x²·dx/dt

We know x² = A/10, where A is the area of the cuboid, so the rate of change of volume is ...

... dV/dt = (6/10)A·dx/dt = 0.6·(129.6 cm²)(0.01 cm/s)

... dV/dt = 0.7776 cm³/s

5 0
3 years ago
Whats the simple interest of $400 after 5 years at a 3% annual rate?
Nady [450]
60 is the interest bro
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What is the measure of the secant DE?
ladessa [460]
Using the formula (AB +BC) *BC = (DE +CD) *CD

fill i n what is known:

(17 + 4) *4 = (DE +6) *6

21*4 = (DE +6)*6

84 = (DE+6)*6

84/6 = DE+6

14 = DE +6

DE = 14-6
DE = 8
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3 years ago
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Tanya [424]
(6+18)^2 = m^2 + m^2
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=> m = 24/sqrt(2)
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3 years ago
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The total change in her bank account would be $160,

if you multiply 8x$20 you get $160
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