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1 year ago

I need to find the formula for these shaded squares

Mathematics

1 answer:

vaieri [72.5K]1 year ago

8 0

For the given sequence we have the formula:

Sₙ = 1 + (n - 1)*2

The 50th square will have 99 shaded squares.

<h3 /><h3>How many shaded squares are on the n-th square?</h3>

Here we have a sequence:

The first square has 1 shaded squares.

the second square has 3 shaded squares.

The third square has 5 shaded squares.

And so on.

Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:

Sₙ = 1 + (n - 1)*2

Where S is the number of shaded squares and n is the number of the figure.

Then the 50th square will have:

S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99

Learn more about sequences:

brainly.com/question/6561461

#SPJ1

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Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

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Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be $\frac{7-0}{2-0} =3.5$ minutes per mile. (Answer)

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3 years ago

Graph the image of the given triangle under a dilation with a scale factor of 12 and the center of dilation (0, 0) .

PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

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3 years ago

Find the highest common factor of 28 and 210 <br><br> Step by step <br><br> Please help

Yuri [45]

Hello there!

To find the GCF, we must list all the factors and then just spot the greatest factor.

28: 1, 2, 4, 7, 14, 28.

210 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70.

So 14 is the GCF. Hope this helps you!

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7 0

3 years ago

Need help on this thank you

krok68 [10]

Answer:

a=7

Step-by-step explanation:

24^2+a^2=25^2

576+a^2=625

49=a^2

a=7

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3 years ago

The number of kilograms of water in a human body varies directly as the mass of the body. An 87-kg person contains 58 kg of wat

katen-ka-za [31]

Answer:

50 kg water.

Step-by-step explanation:

We have been given that the number of kilograms of water in a human body varies directly as the mass of the body.

We know that two directly proportional quantities are in form $y=kx$ , where y varies directly with x and k is constant of variation.

We are told that an 87-kg person contains 58 kg of water. We can represent this information in an equation as:

$58=k\cdot 87$

Let us find the constant of variation as:

$\frac{58}{87}=\frac{k\cdot 87}{87}$

$\frac{29*2}{29*3}=k$

$\frac{2}{3}=k$

The equation $y=\frac{2}{3}x$ represents the relation between water (y) in a human body with respect to mass of the body (x).

To find the amount of water in a 75-kg person, we will substitute $x=75$ in our given equation and solve for y.

$y=\frac{2}{3}(75)$

$y=2(25)$

$y=50$

Therefore, there are 50 kg of water in a 75-kg person.

3 0

3 years ago