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3 years ago

What is the range of the following relation?

Mathematics

1 answer:

zhenek [66]3 years ago

4 0

Answer:

Step-by-step explanation:

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A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportiona

Masteriza [31]

Answer:

900 calories

Step-by-step explanation:

each cracker has 5 calories so you would times 5 by 180 which gets you 900

6 0

3 years ago

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Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles

lana66690 [7]

<span>Let time taken by Luke to cover the distance = x hours Speed of Luke = 6 miles per hour Therefore, Distance covered by Luke = 6x ------(1) Speed of Micah = 4 miles per hour Since Micah walked 2 miles before Luke started running, Luke started 1/2 an hour after Micah started. Therefore time taken by Micah to cover the distance = x+1/2 Distance covered by Micah = 4(x + 1/2) -------(2) Equating (1) and (2) 6x = 4(x+1/2) 6x = 4x +2 2x = 2 x= 1 Therefore Luke would take 1 hour to cover the distance covered by Micah.</span>

6 0

3 years ago

Given the center (h,k) = (5,0) and radius r=3, write and equation for the circle in standard form

Len [333]

Answer

B) $(x-5)^{2} + y^{2} = 9$

Step by step explanation

The standard form of circle when center(h, k) and radius r, given is

(x - h)^2 + (y - k)^2 = r^2

Given: (h, k) = (5, 0) and r = 3

Now plug in these values in the standard form, we get

(x - 5)^2 + (y - 0)^2 = 3^2

$(x- 5)^{2} + y^{2} = 9$

Therefore, the answer is B) $(x-5)^{2} + y^{2} = 9$

Thank you :)

3 0

3 years ago

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Air pressure may be represented as a function of height (in meters) above the

denis-greek [22]

Answer: OPTION C.

Step-by-step explanation:

<h3> The complete exercise is: "Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below:</h3><h3> $P(h) =P_0e^{-0.00012h}$ </h3><h3> In this function $P_o$ is the air pressure at the surface of the earth, and $h$ is the height above the surface of the Earth, measured in meters. At what height will the air pressure equal 50% of the air pressure at the surface of the Earth"</h3><h3></h3>

Given the following function:

$P(h) =P_0e^{-0.00012h}$

In order to calculate at what height the air pressure will be equal 50% of the air pressure at the surface of the Earth, you can follow these steps:

1. You need to substitute $P(h)=0.5P_o$ into the function:

$0.5P_o=P_0e^{-0.00012h}$

2. Finally, you must solve for $h$ .

Remember the following property of logarithms:

$ln(b)^a=a*ln(b)\\\\ln(e)=1$

Then, you get this result:

$0.5P_o=\frac{P_o}{e^{0.00012h}}\\\\(0.5P_o)(e^{0.00012h})=P_o\\\\e^{0.00012h}=\frac{P_o}{0.5P_o}\\\\ln(e)^{0.00012h}=ln(2)\\\\0.00012h*1=ln(2)\\\\h=\frac{ln(2)}{0.00012}\\\\h=5576.2$

7 0

4 years ago

Ray created the list of factors for 48 below.

brilliants [131]

Answer:

Step-by-step explanation:

also why is 78 there? a factor means in that range

3 0

3 years ago

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