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Verizon [17]
3 years ago
10

Find the slope of the line perpendicular to the line y=6x+11

Mathematics
1 answer:
saul85 [17]3 years ago
3 0

Answer:

The slope of the perpendicular line is 6

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The radius of the base of a cylinder is decreasing at a rate of 121212 kilometers per second. The height of the cylinder is fixe
WARRIOR [948]

Answer:

7536 km^3/sec

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

Volume = \pi r^2h

Where r is the radius and

h is the height of cylinder.

As per question statement:

r = 40 km (variable)

h = 2.5 (constant)

\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h

As \pi, h are constant:

\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec

4 0
2 years ago
How are the symbols for greater than (>) and greater than or equal to (≥) related?
netineya [11]

Answer:

The greater than symbol is >. So, 9>7 is read as '9 is greater than 7'. The less than symbol is <. Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The mean of a set of data is 148.87 and its standard deviation is 68.29. Find the z score for a value of 490.19.
Ksivusya [100]
<span>The mean of a set of data is 148.87 and its standard deviation is 68.29. Find the z score for a value of 490.19
the z-score is given by:
z=(x-</span>μ<span>)/</span>σ
plugging in the values in the expression we get:
z=(490.19-149.87)/68.29
z=340.32/68.29
z=4.9835
6 0
3 years ago
an airplane flies 105 miles and 1/2 hour how far can you fly on a 1/4 hours at the same rate of speed
nexus9112 [7]
1/2 hour = 105 miles

Divide by 1/2 on both sides :
1/4 hour = 52.5 miles
4 0
3 years ago
Estimate the number of pints in 445 ounces
8_murik_8 [283]

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

8 0
2 years ago
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