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Semenov [28]
3 years ago
9

Need to know both - ones a lower quartile question and the other histogram

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0
Sorry can’t help idk
You might be interested in
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
the mass of mars is approximately 100000000000000000000000 kilograms and that of neptune is about 100000000000000000000000000 ki
rusak2 [61]
Mars-10^23
Neptune-10^26
4 0
3 years ago
What is 246 : 7 in long division​
Mars2501 [29]

Here we will show you step-by-step with detailed explanation how to calculate 246 divided by 7 using long division.

Before you continue, note that in the problem 246 divided by 7, the numbers are defined as follows:

246 = dividend

7 = divisor

Step 1:

Start by setting it up with the divisor 7 on the left side and the dividend 246 on the right side like this:

7 ⟌ 2 4 6

Step 2:

The divisor (7) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

0

7 ⟌ 2 4 6

Step 3:

Multiply the divisor by the result in the previous step (7 x 0 = 0) and write that answer below the dividend.

0

7 ⟌ 2 4 6

0

Step 4:

Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.

0

7 ⟌ 2 4 6

- 0

2

Step 5:

Move down the 2nd digit of the dividend (4) like this:

0

7 ⟌ 2 4 6

- 0

2 4

Step 6:

The divisor (7) goes into the bottom number (24), 3 time(s). Therefore, put 3 on top:

0 3

7 ⟌ 2 4 6

- 0

2 4

Step 7:

Multiply the divisor by the result in the previous step (7 x 3 = 21) and write that answer at the bottom:

0 3

7 ⟌ 2 4 6

- 0

2 4

2 1

Step 8:

Subtract the result in the previous step from the number written above it. (24 - 21 = 3) and write the answer at the bottom.

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3

Step 9:

Move down the last digit of the dividend (6) like this:

0 3

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 10:

The divisor (7) goes into the bottom number (36), 5 time(s). Therefore put 5 on top:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

Step 11:

Multiply the divisor by the result in the previous step (7 x 5 = 35) and write the answer at the bottom:

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

3 5

Step 12:

Subtract the result in the previous step from the number written above it. (36 - 35 = 1) and write the answer at the bottom.

0 3 5

7 ⟌ 2 4 6

- 0

2 4

- 2 1

3 6

- 3 5

1

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 246 divided by 7 calculated using Long Division is:

35

1 Remainder

Mark as brainlist

5 0
3 years ago
Read 2 more answers
If a → b is true, then ~a → b is also true.
Rasek [7]

Answer:

False

Step-by-step explanation:

To determine whether the statemaent "If a\Rightarrow b is true, then \neg a\Rightarrow b is also true" holds, you can form the truth table:

\begin{array}{ccccc}a&b&a\Rightarrow b&\neg a&\neg a\Rightarrow b\\1&1&1&0&1\\1&0&0&0&1\\0&1&1&1&1\\0&0&1&1&0\end{array}

When the result of the column a\Rightarrow b takes value 1 (true), the result of the column  \neg a\Rightarrow b is not always 1, then the statement is false.

7 0
3 years ago
The length of the longest side of a triangle is 1 inch less than the sum of the lengths of the other two sides. How long is the
Gwar [14]
The length of the longest side is 17 inches.
4 0
3 years ago
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