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grandymaker [24]
3 years ago
13

Simplify square root 9 = 9 1/2

Mathematics
1 answer:
earnstyle [38]3 years ago
3 0
This tautology simplifies to ...
\sqrt{9}=9^{\frac{1}{2}}\\3=3
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In an experiment, a variable, position-dependent force F(x) is exerted on a block of mass 1.0kg that is moving on a horizontal s
telo118 [61]

Answer: correct option is C

The function F(x) for 0 < x < 5, the block's initial velocity, and the value of Ff. 

Step-by-step explanation:

The total work done = P.E + K.E

K.E = 1/2mv^2

The speed V depends on the position:

0 < x < 5

Also, since work done = F × distance x

The workdone also depends on F(x)

The net force = 0 that is

F + fr = 0

Where fr = frictional force.

Therefore the best option for the hypothesis of work done will be;

The function F(x) for 0 < x < 5, the block's initial velocity, and the value of Ff. 

6 0
4 years ago
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Please help me!!!!!!!
lawyer [7]

Answer:

  • f(x)=\sqrt{x+3}
  • f(x)=\dfrac{1}{(x-2)(x-4)}

Step-by-step explanation:

a) It can be convenient to use the square root function as one being defined only for values greater than or equal to some number. Here, we need to shift that function 3 units to the left, so its domain is [-3, ∞).

  f(x)=\sqrt{x+3}

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b) One way to put holes in a function is to put vertical asymptotes there. This function can be defined to have vertical asymptotes at x=2 and x=4 so those values are excluded from the domain.

  f(x)=\dfrac{1}{(x-2)(x-4)}

3 0
3 years ago
In an interview last month, the rebels estimated that a few hundred of their fighters had been trained over the past two years,
Hitman42 [59]

Answer:

D) had been trained over the past two years and that they had

Step-by-step explanation:

In the context, the sentence speaks of something that happened in the past, so 'had been' is required and also it speaks of parallelism of events, as an estimation is being made so,  parallelism should be maintained.

Hence, option (D) satisfies the two requirements. And eliminate option A, B, C and E.

Thus, (D) is correct.

3 0
3 years ago
A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the pl
stealth61 [152]

Answer:

As I answered your question, answer is D

Step-by-step explanation:

7 0
4 years ago
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"Select the equation of the least squares line for the data: (34.0, 1.30), (32.5, 3.25), (35.0, .65), (31.0, 6.50), (30.0, 5.85)
yulyashka [42]

Answer:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

Step-by-step explanation:

We assume that the data is this one:

x: 34.0, 32.5, 35.0, 31.0, 30.0, 27.5, 29.0

y: 1.30, 3.25, 0.65, 6.50, 5.85, 8.45, 6.50

Find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 34.0+ 32.5+ 35.0+ 31.0+ 30.0+ 27.5+ 29.0&#10;=219

\sum_{i=1}^n y_i =1.3+3.25+0.65+6.5+5.85+8.45+6.5=32.5

\sum_{i=1}^n x^2_i = 34.0^2+ 32.5^2+ 35.0^2+ 31.0^2+ 30.0^2+ 27.5^2+ 29.0^2&#10;=6895.5

\sum_{i=1}^n y^2_i =1.3^2+3.25^2+0.65^2+6.5^2+5.85^2+8.45^2+6.5^2=202.8

\sum_{i=1}^n x_i y_i =34*1.3 + 32.5*3.25+ 35*0.65+ 31*6.5+30*5.585 +27.5*8.45 +29*6.5=970.45

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=6895.5-\frac{219^2}{7}=43.929

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=970.45-\frac{219*32.5}{7}=-46.336

And the slope would be:

m=-\frac{46.336}{43.929}=-1.055

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{219}{7}=31.286

\bar y= \frac{\sum y_i}{n}=\frac{32.5}{7}=4.643

And we can find the intercept using this:

b=\bar y -m \bar x=4.643-(-1.055*31.286)=37.643

So the line would be given by:

y=-1.055 x +37.643

And the best option would be:

a. ŷ= 37.643-1.0543x

5 0
4 years ago
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