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Murrr4er [49]
3 years ago
12

Use the line graph to solve.

Mathematics
1 answer:
Ivahew [28]3 years ago
5 0
0.10 m of difference <span>in water levels between Week 2 and Week 4</span>
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Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

7 0
3 years ago
Question 71
yuradex [85]

Answer:

given

p=q^3

p=40

______

q=(p)^1/3

q=(40)^1/3-->q=2(5)^1/3

Now

the value of half of q , (2(5)^1/3)÷(2) ,is 5^1/3.

finally the value of p gonna be

p=q^3

p=(5^1/3) ^ 3

p=5

3 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!!!!!!!!
Lana71 [14]

Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.

So first, solve angle S with inscribed angle theorem. 126/2 = 63

Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.

Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.  

Let me know if this doesn't work, I'll look at it again.

7 0
2 years ago
Jordan will hike the trail shown at a rate of ​mi/h. Write a linear equation to represent the distance Jordan still has to walk
agasfer [191]

Answer:

<em>y = (-mi/h)x + b</em>

y = total distance left to cover

-mi/h = speed at wich he is covering ground

b = the total distance to cover from start to finish

Step-by-step explanation:

Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept

<em>y = mx + b</em>

all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...

<em>y = (-mi/h)x + b</em>

note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD

<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with

7 0
2 years ago
Please help me asap i need help i will give 10 points
saul85 [17]

Answer:

C. 189

Step-by-step explanation:

Each triangle is 27 which makes it 108, and 108+81=189

3 0
2 years ago
Read 2 more answers
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