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ololo11 [35]
3 years ago
9

Which equation represents exponential decay?

Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0
Y=(1/5)^x would be the only equation demonstrating decay of these
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A manufacturer has cube shaped cardboard boxes with an exact volume of 12000 cubic inches. What is the volum of the largest sphe
vladimir1956 [14]

Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

6 0
3 years ago
If m∠5 = 115 degrees, find m∠1 =
lana66690 [7]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°

because they form corresponding Angle pair

Question 2. If m∠7 = 30 degrees, find m∠2 = 30°

because they form Alternate Exterior angle pair

Question 3. If m∠6 = 50 degrees, find m∠4 = 50°

because they form Alternate Interior Angle pair

Question 4. If m∠4 = 72 degrees, find m∠1 = 108°

because they form linear pair, their sum = 180°

  • Angle 4 + Angle 1 =180°

  • Angle 1 = 180° - Angle 4

  • Angle 1 = 180° - 72°

  • Angle 1 = 108°
4 0
2 years ago
Help me please!!!!!!!
Sav [38]

Answer:

- sign between 9 and 64 under root, it should be + sign

Step-by-step explanation:

(-4)*(-8)(2)= 64

It should read x= √9+64 but not √9-54 which lead to incorrect solution

3 0
3 years ago
Find the answer given below​
Anastasy [175]

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by \sqrt{2}

Volume then is increased by (\sqrt{2}l)^3 = 2\sqrt{2}l^3

1 :2 \sqrt{2}

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If <u>each sides</u> of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled <u>by doubling the height and without changing the length and width</u>"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.

6 0
3 years ago
Identify the graph of the compound inequality (-2 &lt;2x-6) (3x-12 510)
asambeis [7]

Answer:

Step-by-step explanation

just plug in 0 for z so it would change to -2<6

7 0
3 years ago
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