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nekit [7.7K]
3 years ago
10

What is the common difference in the following arithmetic sequence?7,3,-1,-5​

Mathematics
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

-4

Step-by-step explanation:

Each term is 4 less than the term before it, so the common difference is -4.

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line j has an equation of y=-x+8. line k includes the point (1,-3) and is perpendicular to line j. what is the equation of line
In-s [12.5K]

Answer:

y = x - 4

Step-by-step explanation:

<u>Use point slope form:  (y - y1) = m(x - x1)</u>

m = 1

<u>Step 1:  Plug in</u>

(y - (-3)) = 1(x - 1)

y + 3 - 3 = x - 1 - 3

y = x - 4

Answer:  y = x - 4

8 0
3 years ago
Plz help me, thank you
Kruka [31]

Answer:

P=40(1.03526)^{t}

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^{t}

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:

2P_o=P_o(1+r)^{20}

Simplifying:

(1+r)^{20}=2

Solving for 1+r:

1+r=\sqrt[20]{2}

1+r=1.03526

The exponential function that models the situation is:

\mathbf{P=40(1.03526)^{t}}

4 0
3 years ago
A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
yan [13]
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a 
a = -31/42.25 
a = -124/169 

Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
6 0
3 years ago
If abx - 5 = 0, what is x in terms of a and b?
Harlamova29_29 [7]
Here we want to have x on one side of equation so,
we put number 5 on right side of equation:
abx=5
then we divide both sides by ab to obtain x on left side:
Result:
x=<u />\frac{5}{ab}
6 0
3 years ago
Read 2 more answers
Surface area of this prism ?
beks73 [17]

Answer:The surface area of this prism is the squares

Step-by-step explanation:the reason being is that the square on top is the surface of the prism

7 0
3 years ago
Read 2 more answers
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