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docker41
21 day ago
7

An archaeologist uses an accelerator mass spectrometer to find the age of a buried branch. At the 68\%68%68, percent confidence

level, the spectrometer reports that the branch was 10{,}00010,00010, comma, 000 years old with a margin of error of 200200200 years. Which of the following could the spectrometer report as the age of the branch at the 95\%95%95, percent confidence level? Choose 1 answer: (Choice A) A 9{,}500
Mathematics
1 answer:
Inessa [12.5K]21 day ago
8 0
B. 10,000 years old, with an error margin of 400 years
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A battery with 20% percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% percent of
Inessa [12570]

Response:

The connection between battery capacity and time is:

Y=0.05t+0.2

The associated graph is provided.

Step-by-step explanation:

We will plot the battery's charged capacity against time.

The charging rate remains steady; hence, the relationship is linear.

Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).

With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).

We can derive the slope for the linear function as:

m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05

Consequently, the correlation between battery capacity and time is:

Y=0.05t+0.2

3 0
1 month ago
Which shows the image of ΔRST after the rotation (x, y) → (y, –x)? On a coordinate plane, a triangle has points R (negative 2, 1
PIT_PIT [12445]

Answer:

On a coordinate grid, a triangle is defined by the points R' (1, 2), S' (3, -1), T' (7, 1)

Step-by-step explanation:

We can interpret the coordinates of the triangle's vertices as...

R(-2, 1), S(1, 3), T(-1, 7)

Applying the transformation (x, y) ⇒ (y, -x), these coordinates change to...

R'(1, 2), S'(3, -1), T'(7, 1) . . . . . (this corresponds to the first option)

4 0
2 months ago
Read 2 more answers
Tran has a credit card with a spending limit of $2000 and an APR (annual percentage rate) of 12%. During the first month, Tran c
babunello [11817]

Detailed explanation:

Information provided:

Tran possesses a credit card that allows up to $2000 in spending with an APR of 12%.

In the initial month, Tran incurred charges of $450 and settled $150 within that billing period.

The formula to determine the interest that will accrue for Tran in the first month is (0.012)(300)

Here, 0.01 signifies the monthly interest rate.

The 300 reflects the outstanding balance, as Tran charged $450 but only paid back $150.

5 0
1 month ago
Consider the following differential equation. (A computer algebra system is recommended.) (1 + t2)y' + 4ty = (1 + t2)−2 (a) Draw
PIT_PIT [12445]

Answer:

Step-by-step explanation:

a. Create a direction field for the specified differential equation

b. By observing the direction field, comment on the behavior of the solutions as t becomes large.

The solutions seem to oscillate

All solutions appear to approach the function y0(t)=4

All solutions seem to converge to the function y0(t)=0

All solutions appear to have negative slopes eventually and thus decrease indefinitely

All solutions seem to have positive slopes eventually and therefore increase without limit

C

As t approaches infinity

All solutions seem to exhibit positive slopes eventually and thus decrease indefinitely

The solutions seem to gradually approach the function y0(t)=0

All solutions appear to eventually have negative slopes leading to decrease without bounds

All solutions seem to converge to the function y0(t)=4

The results are oscillatory

3 0
29 days ago
Which expression can be used to convert 100 USD to Japanese yen?
Zina [12379]

Because

1 USD = 113.83 Japanese Yen

To convert 100 USD: 100 × 113.83 Japanese Yen

Therefore 100 USD = 11,383.00 Japanese Yen

5 0
1 month ago
Read 2 more answers
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