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3 years ago

Select the correct answer.

Mathematics

1 answer:

lana66690 [7]3 years ago

8 0

Answer:

The average rate of change for the interval [0,2] is 2.

Step-by-step explanation:

In order to find the points to complete the rate of change look at your graph. The intervals (0 and 2) are the x intercepts. If you look at the graph the y intercepts for 0 is 4, and the y intercept for 2 is 8. Then you use the slope formula, y2-y1/x2-x1, 8-4 is 4 and 2-0 is 2, four divided by two is two.

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1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$

$\mathrm{Cancel\:the\:common\:factor:}\:10^{-12}$

$=\frac{12.6}{35.4\pi \left(10^{-2}\times \:2.5\right)^2}$

$=\frac{12.6}{0.025^2\times \:35.4\pi }$ ∵ $\left(10^{-2}\times \:2.5\right)^2=0.025^2$

$=\frac{12.6}{0.022125\pi }$ ∵ $35.4\pi\times 0.025^2=0.022125\pi$

$=\frac{12.6}{0.06950 }$

F $=181.274$ N

Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.

i.e. F $=181.274$ N

7 0

3 years ago

at a track meet the longest shot put throw by a boy is 25 feet 8 inches the longest shot put by girls 19 feet 3 inches how many

Vesna [10]

Boy record = 25 feet 8 inches
Girl record = 19 feet 19 inches
Boy record / Girl record = 25 feet 8 inches / 19 feet 19 inches
Change the feet into inches
1 feet = 12 inches
25 feet = 25* 12 = 300 inches + 8 inches = 308 inches

19 feet = 19 * 12= 228 inches + 19 inches = 247 inches
Boy record / Girl record = 308 inches / 247 inches
Boy record / Girl record = 1.246 inches
Boy record = 1.246 Girl record
So
it is 1.246 times greater than girls record.

3 0

3 years ago

0.6cm squared to mm squared

san4es73 [151]

1 cm = 10 mm

1 cm^2 = 100 mm^2

0.6 cm^2 = 0.6 * 100 mm^2 = 60 mm^2

3 0

4 years ago

Expand [a/3-b/6-1]^2

KATRIN_1 [288]

Answer:

(a/3

$( \frac{a}{3} - \frac{b}{5} ) {}^{2}$