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andrew11 [14]
2 years ago
11

The four 4's chalenge, 1-20

Mathematics
1 answer:
tiny-mole [99]2 years ago
5 0
4, 8, 12, 16, 20 this is the fours up to 20
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Been a while since I’ve needed to not use a calculator. Why is -2X10^-18 (3/16) = 4.09X10^-19?
Anestetic [448]

Answer:

see the explanation

Step-by-step explanation:

we have

2.18*10^{-18}(\frac{3}{16})

we have that

\frac{3}{16}=0.1875

Convert to scientific notation

0.1875=1.875*10^{-1}

substitute

2.18*10^{-18}(1.875*10^{-1}})

Remember that

To multiply two numbers in scientific notation, multiply their coefficients and add their exponents

2.18*10^{-18}1.875*10^{-1}}=(2.18*1.875)*10^{(-18-1)}=4.0875*10^{-19}

Round the number 4.0875 two decimal places

so

4.0875*10^{-19}=4.09*10^{-19}

8 0
3 years ago
You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building
nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

h=\sqrt{x^2+y^2}

The rate of change for the distance between you and the elevator is given by:

\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}

-16=\frac{dh}{dy}*\frac{dy}{dt}

\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\

Applying the chain rule:

u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}

Therefore, at x=300 and y = 500, dy/dt is:

-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s

The elevator is descending at 18.66 ft/s.

7 0
3 years ago
Complete the proof for proving that the diagonals of an isosceles trapezoid are congruent.
Alina [70]
..............................[a+b]2+c2
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3 years ago
I need help ASAP, with numbers 3-6 above. Please help.
MatroZZZ [7]

Answer:

3. 2 6 30          6. 8:5

   3 9 45

Step-by-step explanation:

6 0
3 years ago
What is the range of the function f(x) = |x| + 5?
Ierofanga [76]

Answer:

[0, \infty)

5 0
1 year ago
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