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3 years ago

Every square meter of solar paneling produces 0.2 kilowatts of electricity. Which of the following models this situation?

Mathematics

1 answer:

maksim [4K]3 years ago

5 0

Answer:

B) linear function with a positive rate of change

Step-by-step explanation:

Each increase by 1 m^2 in area produces the same 0.2 kW increase in power, so the relationship between area and power is linear. Since they both go up (or both go down), the "rate of change" is positive. (If it were negative, one would go down when the other went up.)

The best description is that of B.

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Alona [7]

Answer:

5 up and 2 to the right

Step-by-step explanation:

The center will be at the same spot as circle D, dilate by 3, then the dilation maps circle C into circle D.

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3 years ago

Find the y intercept of (-2,5) and (3,25)

Alex777 [14]

Answer:

The y-intercept is (0, 13).

Step-by-step explanation:

First finf the equation of the line:

The slope = (25- 5) / (3 - -2)

= 20/5

= 4

So its equation is

y - 5 = 4(x + 2)

y = 4x + 13

The y-intercept occurs when x = 0

so y-intercept = 4(0) + 13.

It's (0, 13).

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3 years ago

Which of the following demonstrates the commutative property across multiplication for 2× 10 × 7

Phoenix [80]

Its A. Kelp dont you dare.

5 0

3 years ago

Read 2 more answers

Modeling Radioactive Decay In Exercise, complete the table for each radioactive isotope.

Travka [436]

Answer :

The amount after 1000 years will be, 5.19 grams.

The amount after 10000 years will be, 0.105 grams.

Step-by-step explanation :

Half-life = 1599 years

First we have to calculate the rate constant, we use the formula :

$k=\frac{0.693}{t_{1/2}}$

$k=\frac{0.693}{1599\text{ years}}$

$k=4.33\times 10^{-4}\text{ years}^{-1}$

Now we have to calculate the amount after 1000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 1000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$1000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=5.19g$

Thus, the amount after 1000 years will be, 5.19 grams.

Now we have to calculate the amount after 10000 years.

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant = $4.33\times 10^{-4}\text{ years}^{-1}$

t = time passed by the sample = 10000 years

a = initial amount of the reactant = 8 g

a - x = amount left after decay process = ?

Now put all the given values in above equation, we get

$10000=\frac{2.303}{4.33\times 10^{-4}}\log\frac{8}{a-x}$

$a-x=0.105g$

Thus, the amount after 10000 years will be, 0.105 grams.

4 0

3 years ago

0.9 0.947 1.5 1.268 in order from least to greatest

natka813 [3]

0.9 0.947 1.268 1.5 That's the order from least to greatest

3 0

2 years ago

Read 2 more answers