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Hoochie [10]
2 years ago
11

Given an = 3n-5, what is the common difference?

Mathematics
1 answer:
belka [17]2 years ago
5 0

Answer:

3

Step-by-step explanation:

A common difference is found in arithmetic sequences. The simplified formula for arithmetic sequences, which is what is used here, is a_{n}=dn-a_{0}. Where d is the common difference and a_{0} is the zeroth term. So, in the given equation 3 must be the common difference.

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Enunciado:Si una empresa determina que sus costos obedecen a un modelo lineal y además sabe que si produce $10$ unidades sus cos
const2013 [10]

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000

3 0
3 years ago
What could be the intersection of the plane PRS and plane QRS
MrRa [10]
The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
6 0
3 years ago
You want to create a 99% confidence interval with a margin of error of .5. Assuming the population standard deviation is equal t
miss Akunina [59]

Answer:

Sample size minimum is 60

Step-by-step explanation:

given that you want to create a 99% confidence interval with a margin of error of .5.

The population  standard deviation is equal to 1.5

i.e. \sigma = 0.5

Confidence level = 99%

Since population std deviation is known, we can use Z critical value for finding margin of error

Z critical value for 99% = 2.58

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Equate this to 0.5 and solve for n

2.58*\frac{1.5}{\sqrt{n} }=0.5\\\sqrt{n} =7.74\\n =59.90\\n=60

8 0
3 years ago
Brainliest if answered fist<br><br><br> 20% markdown on $150 shoes. How much are the shoes
Akimi4 [234]

Answer:

$120

Step-by-step explanation:

150-20%

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3 0
3 years ago
A new car that costs $17,500 loses 25 percent of its value in the first year. how much is the loss of value
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$4,375
17500 times .25
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