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Readme [11.4K]
4 years ago
5

What is the 25th term in the following arithmetic sequence? -7, -2, 3, 8, ...

Mathematics
1 answer:
Klio2033 [76]4 years ago
4 0

Answer:

108.

Step-by-step explanation:

-7, -2, 3, 8 is an arithmetic sequence with a1 (first term) = -7 and common difference (d)  = 5.

The 24th term = a1 + (24 - 1)d

=  -7 + 23 * 5

= -7 + 115

= 108.

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How long will the football be in the air?
DochEvi [55]

to be honest I agree that would be 6s

5 0
4 years ago
Help, Solve for y 7=35y
Lapatulllka [165]

Answer:

0.2 = y

Step-by-step explanation: You have to isolate y

<u> 7 = 35y</u>

35    35

0.2 = y


RECHECK:

7 = 35y

7 = 35(0.2)

7 = 7

YES, this is a true statement.


Hope this helps you!!! :)


4 0
3 years ago
The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l
miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0
3 years ago
If the width of a rectangle is x + 2 and the length is twice as long, what is the area?
lawyer [7]
A=(x+2)(2(x+2)=(x+2)(2x+4)=2x^2+4x+4x+8=\\&#10;=x^2+8x+8
4 0
4 years ago
Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4
german

Answer:

range is  between 55.5 to 64.5

Step-by-step explanation:

Horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches

68% is 1 standard deviation from mean

To get the range of 1 standard deviation we add and subtract standard deviation from mean

mean = 60

standard deviation = 4.5

60 - 4.5= 55.5

60+4.5 = 64.5

1 standard deviation is between 55.5 to 64.5

That is 68% range is  between 55.5 to 64.5

8 0
4 years ago
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