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Katena32 [7]
3 years ago
7

1 . a sequence in which a fixed amount is added on to get the next term arithmetic sequence 2 . an individual quantity or number

in a sequence common difference 3 . a set of numbers that follow a pattern, with a specific first number sequence 4 . the fixed amount added on to get to the next term in an arithmetic sequence term
Mathematics
1 answer:
Dmitry [639]3 years ago
6 0
T_n = a_1 + d(n-1)

If a = 4 and d = 3,

T_n = 4+ 3(n-1)

T_n = 4+ 3n-3

T_n = 3n + 1

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Answer: The general equation for the nth term is 3n + 1.
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Scott likes to run long distances. He can run 20 \text{ km}20 km20, start text, space, k, m, end text in 858585 minutes. He want
aleksandrvk [35]

Answer:

<em>Scott will take 221 minutes to run 52 km</em>

Step-by-step explanation:

<u>Speed</u>

The speed of an object can be calculated with the formula:

\displaystyle v=\frac{d}{t}

Where d is the distance traveled and t is the time taken.

Scott can run d=20 km in 85 minutes. Thus, his speed is:

\displaystyle v=\frac{20}{85}\ km/min

Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:

\displaystyle t=\frac{d}{v}

Since the speed has been already determined:

\displaystyle t=\frac{52}{\frac{20}{85}}

Multiplying by the reciprocal of the denominator:

\displaystyle t=52*\frac{85}{20}

t = 221 min

Scott will take 221 minutes to run 52 km

4 0
3 years ago
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Find the surface area
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Answer:

Step-by-step explanation:

area of top=7×6=42 yd²

area of bottom=3×6=18 yd²

area of two rectangles=2[4×6]=48 yd²

area of two trapezoids=2[1/2(7+3)×3.5]=35 yd²

total surface area=42+18+48+35=143 yd²

7 0
3 years ago
Find the exact value of cos(7pi/12) using half-angle identities. I'm still not sure how to solve this :( Any help is appreciated
Norma-Jean [14]
Did you plug it into your calculator? That's a great place to start.
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Helpp whats the answer<br><br> 5x=15
marissa [1.9K]

Answer:

\boxed{\tt x=3}

Step-by-step explanation:

We are given the equation:

5x=15

and asked to solve for x. Therefore, we must isolate the variable on one side of the equation.

x is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

\frac{5x}{5}=\frac{15}{5}

x=\frac{15}{5}

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Let's check our solution. Plug 3 in for x and solve.

5x=15

5(3)=15                      

15=15

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

6 0
3 years ago
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