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inna [77]
3 years ago
6

Hi Gus who ever answers these questions I will give brainlist

Mathematics
1 answer:
Jlenok [28]3 years ago
6 0

Answer:

1. 96 easy :D trust me

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What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
To walk to her friend's house, Cristal normally walks 63 yards north and 16 yards east as shown. How many
ANEK [815]

Answer:

65 yd

Step-by-step explanation:

The image of this walking path of Cristal is missing, so i have attached it.

From the image attached, we can see that the path "x" is the hypotenuse path a the triangle.

Thus, we can use pythagoras theorem to find the area. Thus;

x² = 16² + 63²

x = √(16² + 63²)

x = √4225

x = 65 yd

5 0
3 years ago
One eight of tony's books are mystery books. He has 3 mystery books. How many books does Tony have in all.
miv72 [106K]
<em><u>Tony has 24 books in total</u></em>
4 0
3 years ago
Consider the end behavior of the function g(x) = 4|x − 2| − 3.
horrorfan [7]

Answer:

Positive ; Positive

Step-by-step explanation:

Since there's a modulus, negative values also become positive

3 0
2 years ago
Read 2 more answers
The acceleration of an object is given by a(t)=cos(πt). The velocity of the object at time t=0 is 1/(2π). Which expression can b
mihalych1998 [28]

Answer:

D. ∫₀⁷'⁶ 1/π (sin(πt) + ½) dt + | ∫₇,₆¹¹'⁶ 1/π (sin(πt) + ½) dt |

Step-by-step explanation:

Velocity is the integral of acceleration with respect to time.

v = ∫ a(t) dt

v = ∫ cos(πt) dt

v = 1/π sin(πt) + C

At t = 0, v = 1/(2π).

1/(2π) = 1/π sin(π×0) + C

1/(2π) = C

v(t) = 1/π sin(πt) + 1/(2π)

Distance is the integral of the absolute value of velocity with respect to time.

d = ∫ |v(t)| dt

d = ∫ |1/π sin(πt) + 1/(2π)| dt

We need to find where v(t) is positive/negative.  To do that, we find where v(t) is 0.

0 = 1/π sin(πt) + 1/(2π)

-1/π sin(πt) = 1/(2π)

sin(πt) = -1/2

πt = 7π/6, 11π/6

t = 7/6, 11/6

Now evaluate the sign of v(t) in each interval.

Between t=0 and t=7/6, v(t) > 0.

Between t=7/6 and t=11/6, v(t) < 0.

So we can write the distance integral as:

d = | ∫₀⁷'⁶ (1/π sin(πt) + 1/(2π)) dt | + | ∫₇,₆¹¹'⁶ (1/π sin(πt) + 1/(2π)) dt |

Since the first integral is always positive:

d = ∫₀⁷'⁶ (1/π sin(πt) + 1/(2π)) dt + | ∫₇,₆¹¹'⁶ (1/π sin(πt) + 1/(2π)) dt |

Factor out 1/π from both:

d = ∫₀⁷'⁶ 1/π (sin(πt) + ½) dt + | ∫₇,₆¹¹'⁶ 1/π (sin(πt) + ½) dt |

Answer is D.

5 0
3 years ago
Read 2 more answers
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