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3 years ago

using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant

Mathematics

1 answer:

vitfil [10]3 years ago

3 0

Answer:

maximum: 40
minimum: -10
midline: 15
amplitude: 25
rate constant: ??

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

40 -15 = 25.

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to <em>consult your text</em> or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

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The ratio of dogs to cats at a pet store is 11: 4. If there are 90 total pets (dogs and cats), how many cats are there?

swat32

Answer:

number of cats

$90 \times \frac{4}{15} \\ 24cats$

5 0

3 years ago

margo draws a triangle. The lengths of the sides of he triangle are 8 inches, 15 inches, and 17 inches. Margo uses the area of t

Lunna [17]

Answer:

Either of the following square values:

$8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2$

Step-by-step explanation:

The three possible answers correspond to the square of the sides of the triangles via the Pythagorean theorem. And these are:

$8^{2} =64 \,\,in^2\\15^2= 225\,\,in^2\\17^2=280\,\,in^2$

3 0

3 years ago

A recipe calls for 2 cups of milk for each batch of pancakes. Jamie would like to triple her recipe. How many cups of milk will

Arturiano [62]

Triple means 3 times so 2 x 3 =6

5 0

4 years ago

A space traveller weighs herself on Earth at a location where the acceleration due to gravity is 9.81 m / s 2 9.81 m/s2 and find

Ivenika [448]

Answer:

Therefore the mass of the object is 56.78 kg.

Step-by-step explanation:

Mass: Mass of an object is physical property.Mass of an object can't change with respect to place.

The S.I unit of mass is Kg

But the weight of an object changes with respect to place.

Weight= mass× gravity

The gravitational force varies place to place.

For this reason the weight of an object is not constant.

The value of g is 9.8 m/s².

Unit of weight:

Weight = mass × gravity

=Kg×m×s⁻²

Given, weight= 557 N , g= 9.81 m/s² and mass=?

Weight = mass × gravity

⇒557= mass× 9.81

$\Rightarrow mass=\frac{557}{9.81}$

⇒mass= 56.7787≈56.78

Therefore the mass of the object is 56.78 kg.

4 0

4 years ago

If 3,x,y,18 are in arithmetric progression , find the value of x and y

Ksivusya [100]

Given:
arithmetic progression
a₁ = 3
a₂ = x
a₃ = y
a₄ = 18

Solution:
The arithmetic progression has general formula to determine nth term
a₁ + d(n - 1) = an
a₁ represents first term, d represents difference, n represents number of terms, an represents nth term

First we should find out the value of d, by submitting a₄ to the formula
a₁ + d(n - 1) = an
a₁ + d(4 - 1) = a₄
3 + d(3) = 18
3 + 3d = 18
3d = 15
d = 5
The difference of the sequence is 5

Second, determine x and y
x = a₂
x = a₁ + d(2 - 1)
x = 3 + 5(1)
x = 8

y = a₃
y = a₁ + d(3 - 1)
y = 3 + 5(2)
y = 13

The value of x is 8, the value of y is 13

6 0

3 years ago

using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant​

using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant