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3 years ago

What is the scientific notation of 1260000

1 answer:

5 0

1.26X10^6
The decimal in this number is at the end of the last zero. move that so that the non zero digit is less than 10 but greater than 1. which is 1.26, since we moved 6 places to the left, the exponent is 6.

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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

For Charles City 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:

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

For Tinsel Town 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

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

The value must be between x = 3 and x = 4

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

You can remember the three numbers to your combination lock, but you can't remember their order. How many different combinations

IRINA_888 [86]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(-6-4) divided by (-5)

fenix001 [56]

Answer:

Step-by-step explanation:

Simplify the following:

(-6 - 4)/(-5)

Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.

-6 - 4 = -(6 + 4):

(-(6 + 4))/(-5)

Hint: | Evaluate 6 + 4.

6 + 4 = 10:

(-10)/(-5)

Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.

The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):

(-2)/(-1)

Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).

(-2)/(-1) = (-1)/(-1)×2 = 2:

Answer: 2

3 0

2 years ago

Read 2 more answers

A triangle has two sides of length 1 and 2. What compound inequality describes the possible lengths for the third side, x?Write

klemol [59]

Step-by-step explanation:

since in a triangle each side must be shorter than the sum of the other 2 sides (otherwise the end points cannot connect, and there is no triangle), the necessary inequality condition must be

side < 1 + 2 = 3

so,

side < 3

for a lower limit let's go through the cases

1 < 2 + side (is always true)

2 < 1 + side

1 < side (side must be larger than 1)

and again

side < 1 + 2 = 3

side < 3

so the full restriction for the third side is

1 < side < 3

7 0

2 years ago

83 Tee (CsT Sequences and Functions

NISA [10]

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x y

1 4

2 -5

3 -14

4 -23

5 -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

3 0

2 years ago