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Andreas93 [3]
3 years ago
11

1 What is the value of pi^10 to two significant figures?

Mathematics
2 answers:
rusak2 [61]3 years ago
8 0

Answer:54

Step-by-step explanation:

iVinArrow [24]3 years ago
4 0

Answer:

93648.04747608...

Step-by-step explanation:

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Is x = 1 a solution of the equation 2 – 8x = –6?
borishaifa [10]

Let's verify by substituting 1 to x.

2 - 8x = -6

2 - 8(1) = -6

2 - 8 = -6

-6 = -6

It is equal, therefore x = 1 is the solution.

4 0
3 years ago
Read 2 more answers
Let the function f be continuous and differentiable for all x. Suppose you are given that f(−1)=−3, and that f'(x) for all value
Monica [59]

Answer:

Step-by-step explanation:

By MVT,

f'(c) = \frac{f(5)-f(-1)}{5-1}

4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3

Moreover, f'(x)\leq 4~~~~~~ \forall x,

f(5) \leq 16 - 3 =13

Hence the largest possible value of f(5) is 13

8 0
3 years ago
Find the t-value such that the area in the right tail is 0.005 with 28 degrees of freedom.
klasskru [66]

Answer:

t = 3.673900

Step-by-step explanation:

Given

df = 28 -- degree of freedom

Area = 0.005

Required

Determine the t-value

The given parameters can be illustrated as follows:

P(T > t) = \alpha

Where

\alpha = 0.005

So, we have:

P(T>t) = 0.005

To solve further, we make use of the attached the student's t distribution table.

From the attached table,

The t-value is given at the row with df = 28 and \alpha = 0.005 is 3.673900

Hence, t = 3.673900

4 0
2 years ago
Use the given transformation to evaluate the given integral, where r is the triangular region with vertices (0, 0), (8, 1), and
Jlenok [28]
We first obtain the equation of the lines bounding R.

For the line with points (0, 0) and (8, 1), the equation is given by:

\frac{y}{x} = \frac{1}{8}  \\  \\ \Rightarrow x=8y \\  \\ \Rightarrow8u+v=8(u+8v)=8u+64v \\  \\ \Rightarrow v=0

For the line with points (0, 0) and (1, 8), the equation is given by:

\frac{y}{x} = \frac{8}{1}  \\  \\ \Rightarrow y=8x \\  \\ \Rightarrow u+8v=8(8u+v)=64u+8v \\  \\ \Rightarrow u=0

For the line with points (8, 1) and (1, 8), the equation is given by:

\frac{y-1}{x-8} = \frac{8-1}{1-8} = \frac{7}{-7} =-1 \\  \\ \Rightarrow y-1=-x+8 \\  \\ \Rightarrow y=-x+9 \\  \\ \Rightarrow u+8v=-8u-v+9 \\  \\ \Rightarrow u=1-v

The Jacobian determinant is given by

\left|\begin{array}{cc} \frac{\partial x}{\partial u} &\frac{\partial x}{\partial v}\\\frac{\partial y}{\partial u}&\frac{\partial y}{\partial v}\end{array}\right| = \left|\begin{array}{cc} 8 &1\\1&8\end{array}\right| \\  \\ =64-1=63

The integrand x - 3y is transformed as 8u + v - 3(u + 8v) = 8u + v - 3u - 24v = 5u - 23v

Therefore, the integration is given by:

63 \int\limits^1_0 \int\limits^{1}_0 {(5u-23v)} \, dudv =63 \int\limits^1_0\left[\frac{5}{2}u^2-23uv\right]^{1}_0 \\  \\ =63\int\limits^1_0(\frac{5}{2}-23v)dv=63\left[\frac{5}{2}v-\frac{23}{2}v^2\right]^1_0=63\left(\frac{5}{2}-\frac{23}{2}\right) \\  \\ =63(-9)=|-576|=576
6 0
3 years ago
PLEASE HELP (WILL NAME BRAINLYEST)
ira [324]

Answer:

4.04 x 10^0 people/km^2 (x 10^0 is fairly redundant but if the answer is required in standard form then include it)

Step-by-step explanation:

Population Density = Population/Area

= 3.11 x 10^7 / 7.69 x 10^6

= 31,100,000 / 7,690,000

= 3110 / 769

= 4.04

= 4.04 x 10^0

7 0
3 years ago
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