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Maurinko [17]
3 years ago
8

Y is directly proportional to x. If y=15 when x=3,find y when x=30Pls help​

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

150

Step-by-step explanation:

When y is directly proportional to x, y=kx and k=\frac{y}{x}.

With the corresponding values we already know (3, 15), we can work out k.

k=\frac{y}{x}, which is k=\frac{15}{3} or k=5 when using those values.

Now that we know k, we can use it in the equation y=kx to get y.

We can substitute x for 30, as that's what we are working out, and k for 5 (as worked out above) to get y=30×5, which can be solved to y=150.

**This content involves rates of change/direct and inverse proportions, which you may wish to revise. I'm always happy to help!

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Two lengths of a triangle are shown.
valina [46]

Answer:

9 in.?

Step-by-step explanation:

pythagoras theorem

if jl is the hypotenuse you do the square root of 10² - 5²

5 0
3 years ago
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A sample of men's heights was taken and the mean was 68.8 inches. The standard deviation is 2.8 inches. What percent of the men
jarptica [38.1K]

Answer:

87.29%

Step-by-step explanation:

Given: Mean= 68.8 inches

           Standard deviation= 2.8 inches

           

Now, finding the percent of the men in the sample were greater than 72 inches.

We know, z-score= \frac{x-mean}{standard\ deviation}

z-score= \frac{72-68.8}{2.8}

⇒ z-score= \frac{3.2}{2.8} = 1.14

∴ z-score= 1.14

Next, using normal distribution table to find percentage.

Coverting 0.8729 into percentage= 0.8729\times 100

We get the percentage as 87.29%

Hence, 87.29% of the men in the sample were greater than 72 inches.

6 0
3 years ago
It takes
kati45 [8]

Answer:

I don't really know if this is a trick question or not but, is 6363 minutes the answer?

Step-by-step explanation:

8 0
3 years ago
An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let
Advocard [28]

Answer:

P(t)=3,000,000-3,000,000e^{0.0138t}

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

<em>P(0) = 0 and P(50) = 1,500,000 </em>

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The <em>integrating factor </em>is

e^{Kt}

Multiplying both sides of the equation by the integrating factor

e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K

Hence

(e^{Kt}P(t))'=3,000,000Ke^{Kt}

Integrating both sides

e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C

e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C

P(t)=3,000,000+Ce^{-Kt}

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^{0.0138t}

5 0
3 years ago
Find the unit price
Mrac [35]

Answer:

Price per ounce is $0.062

Step-by-step explanation:

Here, we want to find the unit price in which this vase is price per ounce

Firstly, we need the total ounce value

1 pound = 16 ounce

so two pounds will be 2 * 16 = 32 ounces

So the total ounce value is 32 ounces + 8 ounce = 40 ounces

So 40 ounces = $2.48

price per ounce will be $2.48/40 = $0.062 per ounce

3 0
3 years ago
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