Ask question

Ask question

All categories

1 year ago

7

Two sequences have the formulae 3n - 1 and 7n + 2. A new sequence is formed by the numbers which appear in both of these. Determ

ine the nth term of the new sequence.

2 answers:

Jobisdone [24]1 year ago

5 0

Oh ya I can w it. Oh t no. Oh ya

Sonja [21]1 year ago

4 0

Answer:

Two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.

Step-by-step explanation:

You might be interested in

Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers

AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

$A = \frac{1}{2}\cdot n \cdot (n+1)$

$A = \frac{1}{2}\cdot (n^{2}+n)$

$A = \frac{n^{2}}{2}+\frac{n}{2}$

$n^{2}+n = 2\cdot A$

Where $n$ is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

$n^{2}+n -2\cdot A = 0$ (1)

If we know that $A = 17.5\,cm^{2}$ , then the shortest length of the triangle is:

$n_{1} = 5.437\,cm$ and $n_{2} \approx -6.437\,cm$

Since length is a positive variable, the only possible solution is:

$n\approx 5.437\,cm$

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0

2 years ago

In the figure below, abc is a right triangle. a + b = 150 degrees, and c + d = 35 degrees

timurjin [86]

Um i would need more details
But i thing you would add those together

6 0

2 years ago

Which equation BEST represents the line of best fit for the scatterplot?

velikii [3]

Y=2x+2 describe the best fit.

first find x and y intercept of a line
x intercept where y=0 is x=-1 and y intercept where x=0 is y=2

6 0

2 years ago

Read 2 more answers

The magnitude of vector a = (5,m) is 13 and the magnitude of vector b = (n, 24) is 25. What are m and n

Ulleksa [173]

Answer:

$m=12\,,n=7$

Step-by-step explanation:

The magnitude of vector $(x,y)$ is given by $\sqrt{x^2+y^2}$

The magnitude of vector $a=(5,m)$ is $13$ .

$\sqrt{5^2+m^2}=13\\5^2+m^2=13^2\\25+m^2=169\\m^2=169-25\\m^2=144\\m=12$

The magnitude of vector $b=(n,24)$ is $25$ .

$\sqrt{n^2+24^2}=25\\n^2+24^2=25^2\\n^2+576=625\\n^2=625-576\\n^2=49\\n=7$

Therefore,

$m=12\,,n=7$

5 0

3 years ago

What is the probability of rolling a 3 on two consecutive rolls of a fair 6-sided die?

Ad libitum [116K]

Answer:

$\frac{1}{36}$ chance

Step-by-step explanation:

Each time you roll a die, you have a $\frac{1}{6}$ chance of rolling a 3. It's even rarer to roll two 3s in a row, and to find a consecutive probability, we have to multiply the two probabilities. In this case, both probabilities are $\frac{1}{6}$ .

$\frac{1}{6}\cdot\frac{1}{6}=\frac{1}{36}$

Hope this helped!

4 0

3 years ago