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enot [183]
3 years ago
6

There are 2.54 centimeters in every inch. If a bug moves at a rate of 3.5 inches per second, then Which of the following is clos

est to its speed in meters per second?
Mathematics
1 answer:
Kitty [74]3 years ago
4 0

Answer: 0.08 m/s

Step-by-step explanation:

We are told the bug moves at a rate of:

3.5 \frac{in}{s}

And we have to convert this to units of \frac{m}{s}, knowing 1 in=2.54 cm and 1 m=100 cm:

3.5 \frac{in}{s}. \frac{2.54 cm}{1 in}. \frac{1 m}{100 cm}=0.088 \frac{m}{s}

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Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8
anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

7 0
4 years ago
What is the equation of the line that passes through the point (-5, -4) and has a
Nikolay [14]

Answer:

             y + 4 = -³/₅(x + 5)      {the point-slope form of the equation }

             y = -³/₅x - 7               {the slope-intercept form of the equation}

             3x + 5y = - 35               {standard form of the equation}

Step-by-step explanation:

The point-slope form of equation is : y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through.

m = -³/₅

(-5, -4)    ⇒   x₀ = -5,  y₀ = -4

Therefore:

y - (-4) =  -³/₅(x - (-5))

y + 4 = -³/₅(x + 5)      ←  the point-slope form of the equation

y + 4 = -³/₅x - 3              {subtract 4 from both sides}

y = -³/₅x - 7               ←  the slope-intercept form of the equation

³/₅x + y = - 7                     {multiply both sides by 5}

3x + 5y = - 35               ←  standard form of the equation

5 0
3 years ago
Can anybody help? Thanks
algol [13]

Answer:

w

Step-by-step explanation:

i think its b

5 0
3 years ago
X+5-4x+5≤−4 plz help
Klio2033 [76]

Answer: x≥14/3

Step-by-step explanation: Hope this help :D

5 0
3 years ago
Read 2 more answers
What’s the answer for this question
devlian [24]
A=l*w
A=5*5
=25 square feet
5 0
3 years ago
Read 2 more answers
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