Answer:
324π in²
Step-by-step explanation:
The surface area of a sphere = 4πr² ( r is the radius )
Calculate r using the volume (V) formula
V =
πr³
Here V = 972π , thus
πr³ = 972π ( divide both sides by π )
r³ = 972 ( multiply both sides by 3 to clear the fraction )
4r³ = 2916 ( divide both sides by 4 )
r³ = 729 ( take the cube root of both sides )
r =
= 9
Thus
surface area = 4π × 9² = 4π × 81 = 324π in²
<span>d + 3 < 12
subtract 3 on both sides
d + 3 - 3 < 12 - 3
simplify
d < 9
answer
</span><span>d < 9</span>
Slope of the line is -4/5, y-intercept is 3, equation in slope-intercept form is y = -4/5 x + 3 and the x-intercept is 15/4
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
Here, x1 = 0, y1 = 3, x2 = 5, y2 = -1 (based on the plotted points)
⇒ m = (-1 - 3)/(5 - 0) = -4/5
- Step 2: Find the y-intercept
y-intercept is the point where the line intersects the y-axis.
Here, the y-intercept, b = 3
- Step 3: Write the equation of the line in slope-intercept form
y = mx + b ⇒ y = -4/5 x + 3
- Step 4: Find the x-intercept using the equation.
x-intercept is the point where the line intersects the x-axis. Then y = 0
⇒ 0 = -4/5 × x + 3
⇒ -4/5 × x = -3
⇒4x = 15
∴ x = 15/4
The result of experiment in mixed fraction form is
particles per milliliter.
<h3>What is the result of the experiment in mixed fraction form?</h3>
To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.
Given the data in the question;
- Result of experiment in decimal form = 117.755
- Result of experiment in mixed fraction form = ?
In 117.755, we have 3 numbers to the right of the decimal point.
We have 10³ which is the same as 1000.

Next, we divide both the numerator and the denominator with their Greatest Common Factor.
Greatest Common Factor of 117755 and 1000 is 5

Now, we can get 200 out of 23551 exactly 117 times, since what remained is not divisible by 200, we leave it as a remainder [151].
We can now write this in a mixed fraction form as;

Therefore, the result of experiment in mixed fraction form is
particles per milliliter.
Learn more about fractions here: brainly.com/question/10354322
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