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velikii [3]
4 years ago
10

Find a formula for the nth term of the arithmetic sequence

Mathematics
1 answer:
vagabundo [1.1K]4 years ago
7 0

Answer:

11+2n

Step-by-step explanation:

Arithmetic sequence=a+(n-1)d

a=first number

n=nth term

d=difference

a=9

n=?

d=-2

So let's solve

9+(n-1)(-2)

9+(2n+2)

9+2n+2

Collect like terms

9+2+2n

11+2n

So the nth term is 11+2n

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A person walked 50 ft. to cross
mariarad [96]

Answer:

B) 40 ft

Step-by-step explanation:

Use the picture for a reference.

1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.

2. The Pythagorean Theorem

a^2 (a squared) + b^2 (b squared) = c^2 (c squared)

a = 30 ft (width)

b = x ft (unknown length)

c = 50 ft (diagonal)

3. Substitute in the values:

    30^2 + x^2 = 50^2

    900 + x^2 = 2500

    x^2 = 1600

    x = 40

The length of the field is 40 ft.

6 0
4 years ago
Please help me with this it would be very much appreciated thanks
irakobra [83]

Given that JKV is a triangle.

We need to determine the translated image of the coordinate V using the rule (x, y) \rightarrow(x-3, y+6)

<u>New point V:</u>

The coordinate of the point V is (4,-1)

The new point V can be determined using the rule (x, y) \rightarrow(x-3, y+6)

Now, substituting the point (4,-1) in the rule, we get;

New point = (4-3,-1+6)

Simplifying the terms, we get;

New point = (1,5)

Thus, the coordinate of the new point V is (1,5)

7 0
4 years ago
If an artist has 14 pounds of clay and she uses 5 1/4 pounds. How many pounds of clay will she have left?
Licemer1 [7]

Answer: She will have 1.75 pounds of clay left

Step-by-step explanation: you need to divide 51/4 and it is 12.75 and then you subtract 14-12.75 and get = 1.25

6 0
3 years ago
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
IRINA_888 [86]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Explain why the logarithm of 1 with base b is 0.
BlackZzzverrR [31]
When you write logarithm of 1 with base b = x, through logarithm properties, that would be x to the power of b equals 1.

log_{b} 1=x \ =\ \textgreater \  \  x^{b} =1

Now, from the law of exponents, any number raised to the power of zero is 1. Thus logarithm of 1 with base b is truly zero.
3 0
3 years ago
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