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3 years ago

What is the constant of proportionality for y=-5x ?

Mathematics

1 answer:

Firlakuza [10]3 years ago

5 0

a constant of proportionality is a number you have to multiply x by to get y.

y=kx is the equation that expresses the proportionality of x and y

the constant of proportionality is k, so k=-5

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3 years ago

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Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

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3 years ago

Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes

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Answer: 3rd brand.

Step-by-step explanation:

1st brand:

6 oz cost $1.25

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8 oz cost $1.33

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The amount per ounce will be:

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4th brand:

16 oz cost $2.10

The amount per ounce will be:

= $2.10/16

= $0.13

From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.

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2 years ago

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luda_lava [24]

It’s 164.5 that would be ur answer

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Varvara68 [4.7K]

Answer:

$a^{14+n}$

Step-by-step explanation:

You add the exponents when the number/variable is the same, so:

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