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Goshia [24]
3 years ago
13

You are standing on the corner of 4th Street and 4th Avenue in a city with a rectangular street system similar to New York’s (bu

t without the exceptions). You want to meet your friend at 10th Street and 10th Avenue by walking only east and north (that is, walking the minimum possible distance). However, the corner of 7th Street and 7th Avenue is blocked due to construction and you cannot get through. How many ways are there to walk to meet your friend?
Mathematics
1 answer:
TEA [102]3 years ago
4 0

Step-by-step explanation:

To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.

=> 12C6 = 924.

However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.

=> 6C3 * 6C3 = 20 * 20 = 400

Hence there are 924 - 400 = 524 different ways.

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The expression f(x) = 12(1.035)* models the monthly growth of membership in the new drama club at a school. According to the fun
olga nikolaevna [1]

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

y=a(1+r)^{x}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>x</em> = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

f(x) = 12\cdot(1.035)^{x}

Comparing this function with the exponential growth function:

a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}

Then value of <em>r</em> is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

7 0
3 years ago
Tricia is going too write patterns a, b, and c using the rule "add 15." the first number in each pattern is shown below. Use the
IRISSAK [1]

Answer:

Number 40 appeared in Pattern B. Also, according to the rule, each pattern will increase.

Step-by-step explanation:

Let's develop each sequence. Remembe that the rule is "add 15", that's what we need to create each sequence starting from the given initial number.

Pattern A.



Pattern B.



Pattern C.



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7 0
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The total amount spent on gas is $9.

<h3>How much is spent on gas?</h3>

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

To learn more about multiplication, please check: brainly.com/question/3385014

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3 years ago
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Answer:

1/3

Step-by-step explanation:

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