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OlgaM077 [116]
3 years ago
15

What should i put down for my index card for algebra 2 midterm

Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0
Nd xindisnisnd I did I dhe I’d do did I’d didnidnid didb dubs dB did I. Js Jax
antoniya [11.8K]3 years ago
3 0
I don’t know but I wish the best of luck to you
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How do I do question 9 & 11? Please help thank you!
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
What are the x intercepts of the following function:
Anon25 [30]

Answer:

2 and -1 so it would be the first choice

A)

Step-by-step explanation:

3 0
3 years ago
Write 0.81 as a fraction in simplest from
Kazeer [188]

Answer:

81/100

Step-by-step explanation:

Here's how to convert 0.81 to a fraction...

There is not much that can be done to figure out how to write 0.81 as a fraction, except to literally use what the decimal portion of your number, the .81, means.

Since there are 2 digits in 81, the very last digit is the "100th" decimal place.

So we can just say that .81 is the same as 81/100.

So your final answer is: 0.81 can be written as the fraction 81/100

7 0
3 years ago
Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pin
Andreas93 [3]

1 1/3 + 1 1/6

 add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

 so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

 they ate  2 1/2 pints total

3 0
3 years ago
What is the wander to the bottom right
Ne4ueva [31]
So you do 93 times 60 because it said you have to do 6 ten times and that equal 5580
8 0
3 years ago
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