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castortr0y [4]
3 years ago
9

Evaluate.

ass="latex-formula">
Mathematics
2 answers:
ch4aika [34]3 years ago
7 0
4^0 is 1 because any number to the zero power is one so 1*5=5
disa [49]3 years ago
7 0

Hey there!

When you have this equation, and you have 4^{0} it turns to 4^{1}

So now do 4 x 1 = 4

Now do 5 x 4 = 20


Your final answer is 20.


Hope this helps! Let me know if you need help with anything else. :)


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Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total
sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

<em>For Charles City </em>we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

y = C_1 (2^{x-1})

Where:

C_1 is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

Charles\ City\ (km) = 5(2^{x-1})

<em>For Tinsel Town</em> we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

Tinsel\ Town\ (km) = 21 + 5(x-1)

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11

For x = 4

5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4

<em>The value must be between x = 3 and x = 4</em>

For x = 3.8

5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0
3 years ago
I need help pleaseee asap​
ICE Princess25 [194]

Answer:

5/2 or c

Step-by-step explanation:is correct trust me

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need

To

Trust

Me

please

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3 years ago
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How do you find the mean in a stem and leaf diagram?
dexar [7]
Add up all the numbers in the set and divide by the number of values you added
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3 years ago
Solve the proportions
sasho [114]

Answer:

1.x = 80/8= 10

Step-by-step explanation:

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