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Sliva [168]
3 years ago
9

Jack wants to bike from his house to Jill's house, which is located three blocks east and two blocks north of Jack's house. Afte

r biking each block, Jack can continue either east or north, but he needs to avoid a dangerous intersection one block east and one block north of his house. In how many ways can he reach Jill's house by biking a total of five blocks?
Mathematics
1 answer:
Veronika [31]3 years ago
4 0
<span>2 x 3= 6 There are a total of 5 x 2=10 </span><span>paths, so there are 10- 6= 4</span><span> paths possible. </span><span> </span>
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In the triangle below, the value of a is 12.6.<br><br> True<br><br> False
aev [14]

Answer:

True

Step-by-step explanation:

Formula

Tan(x) = opposite / adjacent

Givens

x = 42

adjacent = 14

opposite = ?

Solution

Tan(42) = opp/14                     Find tan(42)

Tan(42) = 0.900404

0.900404 = opp/ 14                Multiply both sides by 14

14 * 0.900404 = opp/14 * 14   Simplify the left

12.6 rounded  = opp

a = 12.6


7 0
3 years ago
In which set does -15/3
Serjik [45]

Answer:

Rational numbers

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8 is a rational number because it can be written as the fraction 8/1.

8 0
3 years ago
If f(x) = 2x6 + 3x5 – 1, then what is the remainder when f(x) is divided by<br> x + 1?
Alchen [17]
<h3>Answer:   -2</h3>

===============================================

Explanation:

We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).

Comparing x+1 to x-k shows that k = -1

It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.

Plug this k value into the function

f(x) = 2x^6 + 3x^5 - 1

f(-1) = 2(-1)^2 + 3(-1)^5 - 1

f(-1) = 2(1) + 3(-1) - 1

f(-1) = 2 - 3 - 1

f(-1) = -1 - 1

f(-1) =-2

The remainder is -2

We can confirm this through synthetic division or polynomial long division.

5 0
3 years ago
What is the standard form of 0.0005?
mash [69]

5 * 10 raise to power of - 4

7 0
3 years ago
Is f(x) =3*(7/4)^x a growth or decay. Please help me it’s urgent!!!!
kupik [55]

Answer:

growth

Step-by-step explanation:

the value under ^x is more than 1

7/4 >1

So, we have exponential growth

3 0
3 years ago
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