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cupoosta [38]
2 years ago
10

The series that corresponds to the sequence 2n + 9 is:

Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

Answer:

The sequence is given below as

2n+9

step 1:

When n=1

\begin{gathered} 2n+9 \\ 2(1)+9 \\ =2+9 \\ =11 \end{gathered}

Step 2:

When n=2

\begin{gathered} 2n+9 \\ =2(2)+9 \\ =4+9 \\ =13 \end{gathered}

Step 3:

When n=3

\begin{gathered} 2n+9 \\ =2(3)+9 \\ =6+9 \\ =15 \end{gathered}

Step 4:

When n=4

\begin{gathered} 2n+9 \\ =2(4)+9 \\ =8+9 \\ =17 \end{gathered}

Step 5:

When n=5

\begin{gathered} 2n+9 \\ =2(5)+9 \\ =10+9 \\ =19 \end{gathered}

Step 6:

When n=6

\begin{gathered} 2n+9 \\ =2(6)+9 \\ =12+9 \\ =21 \end{gathered}

Hence,

The final answer is 11, 13, 15, 17,19, 21

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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)
goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the  perpendicular line is, therefore;

¾  - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses  is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2  

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y           ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

Learn More:

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6 0
3 years ago
Read 2 more answers
Add an intersection the red light times normally distributed by the mean of three minutes and a standard deviation of .25 minute
Soloha48 [4]

95% of red lights last between 2.5 and 3.5 minutes.

<u>Step-by-step explanation:</u>

In this case,

  • The mean M is 3 and
  • The standard deviation SD is given as 0.25

Assume the bell shaped graph of normal distribution,

The center of the graph is mean which is 3 minutes.

We move one space to the right side of mean ⇒ M + SD

⇒ 3+0.25 = 3.25 minutes.

Again we move one more space to the right of mean ⇒ M + 2SD

⇒ 3 + (0.25×2) = 3.5 minutes.

Similarly,

Move one space to the left side of mean ⇒ M - SD

⇒ 3-0.25 = 2.75 minutes.

Again we move one more space to the left of mean ⇒ M - 2SD

⇒ 3 - (0.25×2) =2.5 minutes.

The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.

Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)

Therefore, the percent of  red lights that last between 2.5 and 3.5 minutes is 95%

8 0
4 years ago
Find two numbers whose product is -2, and whose sum is -1.​
PIT_PIT [208]

Answer:

x=-2  \ \ \ and \ \ \  y=1

Step-by-step explanation:

Suppose numbers are <em>x</em> and <em>y</em>

<u>Product of </u><em><u>x</u></em><u> and </u><em><u>y</u></em><u> is </u><em><u>-2</u></em>

<u />xy=-2

And sum of <em>x</em> and <em>y</em> is <em>-1</em>

x+y=-1

x=-2  \ \ \ and \ \ \  y=1

8 0
3 years ago
A colony of bacteria doubles every minute. If
enyata [817]

Answer: 720

Step-by-step explanation:do 120 plus 120 plus 120 plus 120 plus 120 plus 120

4 0
3 years ago
If f(x) = 3x - 9 and g(x) = x², what is (gºf)(5)?​
Xelga [282]

Answer:

36

Step-by-step explanation:

Here, f(x) is the input to g(x), forming a composite function.

To evaluate  (gºf)(5),

1) find the value of f(5).  It is f(5) = 6.

2) Use this result as the input to g(x):  g(6) = (6)^2 = 36

3 0
3 years ago
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