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irina [24]
3 years ago
13

Name the constant of proportionality for the equation below: y = -2/3 x

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:

-\dfrac{2}{3}

Step-by-step explanation:

When variable y is said to be proportional to another variable x, it is written as:

y \propto x

To introduce the equality sign, we introduce what is called the constant of proportionality, say k and write the above as:

y=kx

Comparing the given equation:

y=-\frac{2}{3}x

We can see that our constant of proportionality:

k=-\dfrac{2}{3}

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Arada [10]

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Step-by-step explanation: if the proportion of customers who wait more than 15 minutes is 0.01, then the time interval between each waiting customer 15/0.01 = 1500 minutes.

The distribution that defines this question is that of an exponential.

An exponential distribution is dependent on the fixed time rate at which the event is occurring (λ)

For this question of ours, λ = 1500 minutes.

The mean of an exponential distribution is given as

u = 1/ λ = 1/1500 = 0.00067 minutes.

4 0
3 years ago
Use a graphing calculator to find the solutions to each system. <br> 17) y=2^x<br> y=x+5
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3 years ago
What is the domain and range of the set of ordered pairs?​
Delvig [45]

Answer:

D) would be the answer

Step-by-step explanation:

Domain is always the set of x-coordinates in the pairs and the range is always the set of y-coordinates in the pairs.

D: 7, -2, 4, -9, 0

R: 3, -2, 1, 0, 7

Put them in order from least to greatest.

D: -9, -2, 0, 4, 7

R: -2, 0, 1, 3, 7

5 0
3 years ago
Determine the equation of the inverse of y=1/4x^3-2
dedylja [7]

<u>Answer</u>


y⁻¹ = ∛(4x+8)



<u>Explanation</u>

y=(1/4)x³ - 2.

To find the inverse of this equation, you first make x the subject of the formular.

y=(1/4)x³ - 2

Multiply both sides by 4;

4y = x³ - 8

Add 8 on both sides of the equation;

4y + 8 = x³

x³ = 4y + 8

Apply the cube root on both sides to get the value of x;

x = ∛(4y+8)


The inverse of y=(1/4)x³ - 2 is;

y⁻¹ = ∛(4x+8)


7 0
3 years ago
the spoke of a wheel reaches from the center of the wheel to its rim if the circumstance of the rim of the wheel is 27 inches ho
aleksley [76]
Circumference = 2*pi*r = 27"
Solve for r
r=27"/(2*pi)
=27"/(2*3.14159265)
=4.297..."
=4.30" (to the nearest hundredth of an inch)

7 0
3 years ago
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