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amid [387]
2 years ago
12

Write 0.000073 in scientific notation

Mathematics
2 answers:
Llana [10]2 years ago
7 0

Answer:

7.3x10^-7

Step-by-step explanation:

you move the decimal to the right 7 times.

Hope this helps.

Andrew [12]2 years ago
7 0

<em><u>Answer:</u></em>

10^-^5  *73

<em><u>Step-by-step explanation:</u></em>

So in 0.000073, 7 is the fifth digit in the term so we can write it as 10^-^5 * 73

or 10 to power of negative 5 multiplied by 73.

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For the scotch yoke mechanism shown, the acceleration of point a is defined by the relation a = −1.08sinkt − 1.44coskt, where a
julia-pushkina [17]
<span>Position at t=0.35s is 0.2 m Velocity at t = 0.35s is -0.2 m/s Since this is college level mathematics, the use of the word "acceleration" should indicate to you that you've been given the 2nd derivative of a function specifying the location of point a. And since you've been asked for the velocity, you know that you want the 1st derivative of the function. And since you've also been asked for the position, you also want the function itself. So let's calculate the desired anti-derivatives. f''(t) = -1.08 sin(kt) - 1.44 cos(kt) The integral of f''(t) with respect to t is: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k + C In order to find out what C is, we know that at time t=0, v = 0.36 m/s. So let's plug in the values and see what C is: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k + C 0.36 = (1.08 cos(3*0) - 1.44 sin(3*0))/3 + C 0.36 = (1.08 cos(0) - 1.44 sin(0))/3 + C 0.36 = (1.08*1 - 1.44*0)/3 + C 0.36 = 0.36 + C 0 = C So the first derivative will be f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k Now to get the actual function by integrating again. Giving: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 + C And let's determine what C is: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 + C 0.16 = (1.08 sin(3*0) + 1.44 cos(3*0))/3^2 + C 0.16 = (1.08 sin(0) + 1.44 cos(0))/9 + C 0.16 = (1.08*0 + 1.44*1)/9 + C 0.16 = 1.44/9 + C 0.16 = 0.16 + C 0 = C So C = 0 and the position function is: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 So now, we can use out position and velocity functions to get the desired answer: Position: f(t) = (1.08 sin(kt) + 1.44 cos(kt))/k^2 f(t) = (1.08 sin(3*0.35) + 1.44 cos(3*0.35))/3^2 f(t) = (1.08 sin(1.05) + 1.44 cos(1.05))/9 f(t) = (1.08*0.867423226 + 1.44*0.497571048)/9 f(t) = (0.936817084 + 0.716502309)/9 f(t) = 1.653319393/9 f(t) = 0.183702155 So the position of point a at t=0.35s is 0.2 m Now for the velocity: f'(t) = (1.08 cos(kt) - 1.44 sin(kt))/k f'(t) = (1.08 cos(3*0.35) - 1.44 sin(3*0.35))/3 f'(t) = (1.08 cos(1.05) - 1.44 sin(1.05))/3 f'(t) = (1.08*0.497571048 - 1.44*0.867423226)/3 f'(t) = (0.537376732 - 1.249089445)/3 f'(t) = -0.711712713/3 f'(t) = -0.237237571 So the velocity at t = 0.35s is -0.2 m/s</span>
4 0
2 years ago
If sin 20 degree=a and cos20 degree=b then which of the following represents the correct value of sin 70 degree in terms of a an
Scorpion4ik [409]

ANSWER

3) b

EXPLANATION

Given that:

\sin(20 \degree)  = a

and

\cos(20 \degree)  = b

Recall that the sine and cosine functions are equal for complementary angles.

This implies that,

\sin(70 \degree)  =  \cos(20 \degree)

\sin(70 \degree) = b

5 0
2 years ago
A jar contains black marbles and green marbles. Sixty percent of the marbles in the jar are green. A number generator simulates
grigory [225]

Answer: D

Step-by-step explanation:

The number generator is not fair, in most of the experiments, considerably less than 60 % of the selected marbles are green.

And if Sixty percent of the marbles in the jar are green. A number generator should simulates randomly by selecting atleast one of the 60% of green marbles from the jar

5 0
2 years ago
a university theater sold 556 tickets for a play, tickets cost $22 per adult tickets and $ 12 for senior citizen ticket, if the
Deffense [45]
Let no. of adult tickets be x and senior citizen tickets be y. x + y = 556 22x + 12y = 8492 Solving by simultanous equations, x = 182 adult tickets y = 374 senior citizen tickets
7 0
2 years ago
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she s
faltersainse [42]
<h2>Answer</h2>

She will be scoring above 85 after her 7 assessment.

<h2>Explanation</h2>

We can model this situation using a line equation.

We know that on her first assessment, Rita scored 58 points, so our first point is (1, 58)

We also know that on her second assessment, Rita scored 63 points, so our second point is (2, 63)

To find the rate, which is the slope of our line, we are using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where

(x_{1},y_{1}) are the coordinates of the first point

(x_{2},y_{2}) are the coordinates of the second point

From our points we can infer that x_{1}=1, y_{1}=58, x_{2}=2, y_{2}=63. Let's replace the values in our slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=\frac{63-58}{2-1}

m=\frac{5}{1}

m=5

Now we know that Rita's score is increasing 5 points every assessment.

To complete the equation of our line, we are using the point slope formula:

y-y_{1}=m(x-x_{1})

y-58=5(x-1)

y-58=5x-5

y=5x+53

Finally, we just need to replace y with 85 in our line equation and solve for x to find after which assessment she will score above 85:

85=5x+53

32=5x

x=\frac{32}{5}

x=6.4

Since we can't have 0.4 assessment, she will be scoring above 85 after her 7 assessment.  


3 0
2 years ago
Read 2 more answers
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