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yan
9 days ago
15

an ellipse has a center at the origin, a vertex along the major axis at (13, 0), and a focus at (12, 0). What is the equation of

the ellipse?
Mathematics
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An experiment consists of determining the speed of automobiles on a highway using a radar equipment. The random variable in this
zzz [12365]

Answer:

the speed value produced by the radar equipment.

Step-by-step explanation:

In an experiment, a random variable is typically referred to as a dependent variable. In this context, the random variable pertains to the speed value produced by the radar equipment. This value is reliant on the actual speeds of the cars that go past the equipment. A higher speed results in a greater value shown by the radar. Thus, it relies entirely on the automobiles.

8 0
2 months ago
Harry owes the bank money. To repay his debt, he paid \$150$150dollar sign, 150 back to the bank each month. After 101010 months
Zina [12379]


$8,400
Explanation:
Monthly repayment = $150
Total Months of repayment = 10 months
Remaining balance after 10 months = $6900
Cumulative payment = $150 × 10 = $1500
Balance remaining = $6900
Overall debt amount:
(Remaining amount + total repaid)
$(6900 + 1500)
7 0
1 month ago
Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contr
babunello [11817]
The function representing the cost per share, C, relative to the number of contributors, n, is C = 500 / n. For the contribution to be $20 each, Jane must gather 20 additional contributors, totaling 25. With just 5 currently, she needs 20 more to reach this goal.
4 0
2 months ago
Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at
Svet_ta [12734]

The salt enters at a rate of (5 g/L)*(3 L/min) = 15 g/min.

The salt exits at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

Thus, the total rate of salt flow, represented by x(t) in grams, is defined by the differential equation,

x'(t)=15-\dfrac{3x(t)}{10}

which is linear. Shift the x term to the right side, then multiply both sides by e^{3t/10}:

e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}

\implies\left(e^{3t/10}x\right)'=15e^{3t/10}

Next, integrate both sides and solve for x:

e^{3t/10}x=50e^{3t/10}+C

\implies x(t)=50+Ce^{-3t/10}

Initially, the tank contains 5 g of salt at time t=0, so we have

5=50+C\implies C=-45

\implies\boxed{x(t)=50-45e^{-3t/10}}

The duration required for the tank to contain 20 g of salt is t, such that

20=50-45e^{-3t/10}\implies t=\dfrac{20}3\ln\dfrac32\approx2.7031\,\mathrm{min}

3 0
2 months ago
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay.
Inessa [12570]
A. Linear Decreasing
3 0
2 months ago
Read 2 more answers
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