Put the following equation of a line into slope-intercept form, simplifying all fractions. 10x-6y=-48

Mathematics

1 answer:

vladimir1956 [14]2 years ago

5 0

Answer:

y=5/3x+8

Step-by-step explanation:

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Need answers ASAP

andrew-mc [135]

Data:
r (radius) = 14 m
h (height) = 6 m
v (volume) = ?

Formula:
$V = \pi *r^2*h$

Solving:
$V = \pi *r^2*h$
$V = \pi *14^2*6$
$V = \pi *196*6$
$\boxed{\boxed{V = 1176 \pi\:m^3}}\end{array}}\qquad\quad\checkmark$

4 0

3 years ago

The circumference of the equator of a sphere was measured to be 82 82 cm with a possible error of 0.5 0.5 cm. Use linear approxi

True [87]

Answer:

The maximum error in the calculated surface area is approximately 8.3083 square centimeters.

Step-by-step explanation:

The circumference ( $s$ ), in centimeters, and the surface area ( $A_{s}$ ), in square centimeters, of a sphere are represented by following formulas:

$A_{s} = 4\pi\cdot r^{2}$ (1)

$s = 2\pi\cdot r$ (2)

Where $r$ is the radius of the sphere, in centimeters.

By applying (2) in (1), we derive this expression:

$A_{s} = 4\pi\cdot \left(\frac{s}{2\pi} \right)^{2}$

$A_{s} = \frac{s^{2}}{\pi^{2}}$ (3)

By definition of Total Differential, which is equivalent to definition of Linear Approximation in this case, we determine an expression for the maximum error in the calculated surface area ( $\Delta A_{s}$ ), in square centimeters: