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Alex17521 [72]
3 years ago
7

Help needed. Only 1-5 is needed help on plz and ty

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

number 5 is y= 3    7-3=4x4=16

Step-by-step explanation:

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Write an equation for the nth term of the arithmetic sequence. Then find a50.<br> 8, 2, -4, - 10,
AlexFokin [52]
Answer: See below

Explanation:

Write an equation for nth term:

a + d(n - 1)

a = 8 (first term)
d = -6 (common difference)

8 - 6(n - 1)
= 8 - 6n + 6
= -6n + 14

Find a 50:

-6(50) + 14
= -300 + 14
= -286

6 0
3 years ago
Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t) (in cm) as a function of time t (in s
xz_007 [3.2K]

Answer:

R (t) = 60 - 60 cos (6t)

Step-by-step explanation:

Given that:

R(t) = acos (bt) + d

at t= 0

R(0) = 0

0 = acos (0) + d

a + d = 0 ----- (1)

After \dfrac{\pi}{12} seconds it reaches a height of 60 cm from the ground.

i.e

R ( \dfrac{\pi}{12}) = 60

60 = acos (\dfrac{b \pi}{12}) +d --- (2)

Recall from the question that:

At t = 0, R(0) = 0 which is the minimum

as such it is only  when a is  negative can acos (bt ) + d can get to minimum at t= 0

Similarly; 60 × 2 = maximum

R'(t) = -ab sin (bt) =0

bt = k π

here;

k  is the integer

making t the subject of the formula, we have:

t = \dfrac{k \pi}{b}

replacing the derived equation of k into R(t) = acos (bt) + d

R (\dfrac{k \pi}{b}) = d+a cos (k \pi) = \left \{ {{a+d  \ for \ k \ odd} \atop {-a+d \ for k \ even}} \right.

Since we known a < 0 (negative)

then d-a will be maximum

d-a = 60  × 2

d-a = 120 ----- (3)

Relating to equation (1) and (3)

a = -60 and d = 60

∴ R(t) = 60 - 60 cos (bt)

Similarly;

For R ( \dfrac{\pi}{12})

R ( \dfrac{\pi}{12}) = 60 -60 \ cos (\dfrac{\pi b}{12}) =60

where ;

cos (\dfrac{\pi b}{12}) =0

Then b = 6

∴

R (t) = 60 - 60 cos (6t)

7 0
3 years ago
Which of the following points is a solution of the inequality y &lt; -|x|?
ch4aika [34]

Answer:

(1, -2)

Step-by-step explanation:

1 < -|-2|

1 < |2|

because its absolute x can be -2 or +2. Both are greater than 1 so absolute 2 gets eaten.

8 0
3 years ago
6 : 4 is equivalent to
vichka [17]

Answer:

12 : 8, 18 : 12, 24 : 16, 30 : 20

Step-by-step explanation:

These are the four after 6:4. I didn't know which you needed.

6 0
3 years ago
Read 2 more answers
PLEASE HELP FOR FINALS!!!<br> Sketch the graph of each line. y=- x+1 2
stepan [7]
Ok so on the y intercept go to the 12th point then for the -x go to the right once and down then plot the point keep doing that for as long as u need then draw a line connecting all the dots
8 0
3 years ago
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