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likoan [24]
3 years ago
9

2. Which number is irrational? A. 319 B. 93 C. 419 D. 94

Mathematics
1 answer:
Orlov [11]3 years ago
7 0
C: 419.

Explanation:
It has an infinite number if decimals when you try to find the square root
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A boat moves 15.0 km across a lake in 30.0 min. what was the average speed of the boat in kilometers per hours?
Katen [24]

To work out the average speed you would have to use the formula

AS = 15.0 ÷ 30.0 = 0.5 which is distance divided by time.

The you would do 0.5 x 60 = 30 (60 minutes = 1 hour)

So the average speed would be 30.0 km/h.

4 0
3 years ago
If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.
Pie
Given that f^{(n)}(0)=(n+1)!, we have for f(x) the Taylor series expansion about 0 as

f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n

Replace n+1 with n, so that the series is equivalent to

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}

and notice that

\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}

Recall that for |x|, we have

\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}

which means

f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}
\implies f(x)=\dfrac1{(1-x)^2}
5 0
3 years ago
I attached a problem i have to write the equation in standard form using integers
maksim [4K]

9514 1404 393

Answer:

  7x +9y = -1

Step-by-step explanation:

The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0.

We can get this form by multiplying the equation by 9, adding 7x+27.

  y - 3 = -7/9(x +4)

  9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses

  7x +9y = -1 . . . . . . . . . add 7x+27 to both sides

_____

The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.

6 0
3 years ago
If ∠Q measures 18°, ∠R measures 135°, and q equals 9.5, then which length can be found using the Law of Sines?
OLEGan [10]

Answer:

r

Step-by-step explanation:

Since r is not given, the length we can be find using the Law of Sines using is length r.

The Sine formula or the Law of Sines

q/Sine Q = r/Sine R

q=9.5

r is the unknown

9.5/Sine 18° = r/ Sine 135°

7 0
3 years ago
Solve the system of equations below.<br> 5.1 – 2y=18<br> 3.x+3y=15
s344n2d4d5 [400]

Answer: y= -6.45 and y=5-x

Step-by-step explanation:

Subtract 5.1 from both sides.

-2y= 18-5.1

Simplify 18- 5.1 to 12.9

-2y=12.9

Divide both sides by -2

y= - 12.9/2

Simplify 12.9/2 to 6.45

y=-6.45

Factor out the common term 3.

3(x+y)=15

Divide both sides by 3.

x+y =15/3

Simplify 15/3 to 5.

x+y = 5

Sub. x from both sides

y= 5-x

8 0
3 years ago
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