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Serjik [45]
3 years ago
12

How can the average rate of change be found using a discrete graph?

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0
In general, the average rate of change of f (x) on the interval a, b is given by f(b) – f(a) / b – a. The average rate of alteration of a function, f (x) on an interval is well-defined to be the variance of the function values at the endpoints of the interim divided by the difference in the x values at the endpoints of the interval. this is also known as the difference quotient that tells how on average, the y values of a function are changing in connection to variations in the x values. A positive or negative rate of change is applicable which match up to an increase or decrease in the y value among the two data points. It is called zero rate of change when a quantity does not change over time.
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Shakeva buys a car for $41.9K. Her state charges a 5% sales tax, $27 for registration, $19 for a new title certificate, and $45
OLEGan [10]

Answer:

Shakeva will pay $44,086 for the purchase including all the fee.

Step-by-step explanation:

Given that:

Cost of car = $ 41.9K = 41.9*1000 = $41900

Sales tax = 5%

Sales tax = 0.05 * 41900 = $2095

Registration = $27

New title certificate = $19

State safety and emissions inspection = $45

Total amount = 41900 + 2095 + 27 + 19 + 45 = $44086

Hence,

Shakeva will pay $44,086 for the purchase including all the fee.

4 0
3 years ago
Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge
Rzqust [24]

You need to include the question not just the explanation.

5 0
3 years ago
The segment GH and GI are tangent
vodka [1.7K]

Answer:

  OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

  OG² = OH² +GH²

  OG² = 6² +6.3² = 75.69

  OG = √75.69 = 8.7

The length of OG is 8.7 units.

______

<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

8 0
3 years ago
Set up a triple integral in spherical coordinates to compute the volume of the region inside the sphere x² + y² + z² = 4 and abo
Mademuasel [1]

The plane meets the sphere in the cylinder

z=1 \implies x^2+y^2+1^2 = 4 \implies x^2+y^2 = 3 = \left(\sqrt3\right)^2

In spherical coordinates, the plane has equation

z = \rho\cos(\phi) = 1 \implies \rho = \sec(\phi)

and since

\begin{cases}x = \rho\cos(\theta)\sin(\phi) \\ y=\rho\sin(\theta)\sin(\phi)\end{cases} \implies x^2+y^2 = \rho^2 \sin^2(\phi)

the cylinder has equation

\rho^2 \sin^2(\phi) = 3 \implies \rho = \sqrt3 \, \csc(\phi)

The plane and cylinder thus meet when

\sec(\phi) = \sqrt3\,\csc(\phi) \implies \tan(\phi) = \sqrt3 \implies \phi = \dfrac\pi3

So, the volume of the region is given by

\displaystyle \boxed{\int_0^{2\pi} \int_0^{\pi/3} \int_{\sec(\phi)}^2 \rho^2 \sin(\phi) \, d\rho \, d\phi \, d\theta}

7 0
2 years ago
Can we be friends Shshcbfheuskks
WARRIOR [948]

Answer: Of course

Step-by-step explanation:hwidjeb

8 0
4 years ago
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