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Ugo
10 days ago
9

En la escuela Francisco I. Madero de ciudad Delicias, llevaron a cabo el festejo para

Mathematics
1 answer:
PIT_PIT [9.1K]10 days ago
4 0
The total number of unsold cakes amounted to 2. In the school Francisco I. Madero located in Ciudad Delicias, a spring celebration took place after a parade, where the first-grade group procured 8 cakes, selling ¾ of them. Given this information, we sought to find how many cakes remained unsold. Letting 'x' represent cakes sold and 'y' unsold, we know they purchased 8 cakes, establishing our first equation, while the second equation pertains to the sales from this total. Solving these equations, we can conclude that 2 cakes were unsold.
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Pablo and Johanna have to do a yearlong study for their biology course. After some discussion, they decide to try comparing thei
PIT_PIT [9121]

Answer:

The kind of food given to the dog.

Step-by-step explanation:

The independent variable is the factor being tested in the experiment. Hence, we observe that Pablo and Johanna provide different dog foods to monitor which diet promotes faster growth. The rate of growth is the dependent variable, as it is the variable being measured.

6 0
18 days ago
Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
Leona [9271]

Detailed derivation:

dA/dt = 6 - 0.02A

dA/dt = -0.02 (A - 300)

Rearranging terms.

dA / (A - 300) = -0.02 dt

Integrate both sides.

ln(A - 300) = -0.02t + C

Isolate A.

A - 300 = Ce^(-0.02t)

A = 300 + Ce^(-0.02t)

Apply initial condition to determine C.

50 = 300 + Ce^(-0.02 × 10)

50 = 300 + Ce^(-0.2)

-250 = Ce^(-0.2)

C = -250e^(0.2)

A = 300 - 250e^(0.2)e^(-0.02t)

A = 300 - 250e^(0.2 - 0.02t)

8 0
1 month ago
A town planner creates plans for a new water tower. The tower is 96 feet tall and the tank is circular with a diameter of 64 fee
Zina [9179]
1. 12in by 8in
2. 1920ft by 64ft
7 0
28 days ago
A journalist wants to determine the average annual salary of CEOs in the S&P 1,500. He does not have time to survey all 1,50
Inessa [9006]

Answer:

At least 315

Step-by-step explanation:

A journalist intends to find the average annual salary of CEOs within the S&P 1,500. Due to time constraints, a sample is used.

Standard deviation of the sample (s) = 449300

Sample size = n

Permissible margin of error = 50000

Z critical value = 1.96

Thus, 1.96 times the standard error equals 50000.

Standard error equals 25510.20

Standard deviation divided by the square root of n = 25510.20

By simplifying, we can derive:

\sqrt{n} =\frac{449300}{25510.20} =17.752\\n=315\\

Thus, the minimum sample size required is 315.

8 0
1 month ago
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,
Svet_ta [9518]
The initial value stands at 20,300, decreasing annually by 9.5%.

Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.

A 9.5% reduction means multiplying by 91.5% every year.

We express this mathematically. Plugging in 11 years for t yields.

A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18

$7,671.18
6 0
1 month ago
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