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lara31 [8.8K]
3 years ago
15

What is the value of R

Mathematics
1 answer:
frutty [35]3 years ago
7 0

Answer:

2.45 × 10^{6}

Step-by-step explanation:

using the rules of exponents

• \frac{a^{m} }{a^{n} } = a^{(m-n)}

• (a^m)^{n} = a^{mn}

evaluating the numerator

(3.8 × 10^{5})² = 3.8² × (10^5)^{2} = 14.44 × 10^{10}

R = \frac{14.44.10^{10} }{5.9.10^{4} }

  = \frac{14.44}{5.9} × \frac{10^{10} }{10^{4} }

  = 2.45 × 10^{6} ← to 2 dec. places




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The weight of a full steel bead tire is approximately 800
AleksAgata [21]

Answer: 1.76

1.54

Step-by-step explanation:

we have to divide 800 by 453.592, and the result is 1.763699... rounding it: 1.76

now we do the same for 700 :

700 divided by 453.592 is 1.5432... so rounding it down: 1.54

5 0
3 years ago
I need help with these questions can someone plz help me
Dmitry [639]

c) Combine 2+3 to get 5. 100-(5x5) equals 100-25. 100-25 is 75. The answer is 75.

d) Combine 2+3 to get 5. Combine 1+4 to get 5, which is 25. The answer is 5.

g) Combine 4+6 to get 10. Combine 70+-6 to get 64. Take the root of 64, leaving you with 10-8. Combine 10 + -8 to get 2. The answer is 2.

h) Combine 5+4 to get 9. Take the root of 36, leaving you with 18 + 6.  Combine 18 + 6 to get 24. The answer is 24.


5. [15 + 22 + 53] divided by [12 + 18] = [90] divided by [30] = 3 ribbons each.

6. (4 x 12) + (6 x 8) = 96 total.

4 0
3 years ago
I need help with this if you get it right I will mark you
dlinn [17]

Answer:

18

Step-by-step explanation:

formula= A=v/h

5 0
3 years ago
Read 2 more answers
2. Consider the circle x^2−4x+y^2+10y+13=0. There are two lines tangent to this circle having a slope of 2/3.
likoan [24]

Answer:

a) The coordinates are (0.431, -2.646) and (3.568,-7.354)

b) The tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

Step-by-step explanation:

First, lets complete squares, by taking for each cordinate the square of a linear expression

0= x²−4x+y²+10y+13 = (x-2)²+ 4  + (y+5)²-25+13 = (x-2)²+(y+5)² - 8

Hence (x-2)² + (y+5)² = 8

Lets put y in function of x. We should obtain 2 functions f and g that represent the circle.

(y+5)² = 8 - (x-2)² = -x² + 4x + 4

y = ^+_- \sqrt{-x^2+4x+4} -5

Thus

f(x) = \sqrt{-x^2+4x+4} - 5

g(x) = -\sqrt{-x^2+4x+4} - 5

Lets find the derivate of each function and the points in which they reach the value 2/3. In those points the tangent line will have a slope of 2/3.

We may just find the values of x which the derivate of f is either 2/3 or -2/3.

\frac{-x+2}{\sqrt{-x^2+4x+4}} = ^+_-\frac{2}{3} \Leftrightarrow \frac{x^2-4x+4}{-x^2+4x+4} = \frac{4}{9} \Leftrightarrow 9(x^2-4x+4) = 4(-x^2+4x+4) \\\Leftrightarrow 13x^2-52x+20 = 0

The quadratic has roots

\frac{52 ^+_-\sqrt{1664}}{26}

one root is 3.568, which corresponds with g, and the other root is 0.431, corresponding to f.

Also g(3.568) = - 7.354 and f(0.431) = -2.646

This means that the coordinates are (0.431 , -2.646), (3.568 , -7.354) and the tangent lines are

l₁ = (x-0.431)*2/3 - 2.646

l₂ = (x-3.568)2/3 - 7.354

5 0
3 years ago
The double number line below shows the approximate number of kilograms in a certain number of pounds:
kirill [66]

Answer:

4.5

Step-by-step explanation:

We can simplify ratios to one to find the answer

4 pounds is about 2 kilograms

2 pounds is about 1 kilogram

1 pound is about half a kilogram

9 pounds x 0.5 = 4.5

8 0
3 years ago
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