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irinina [24]
3 years ago
12

Find the 54th term of the arithmetic sequence -7, -23, -39, ...

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

-871

Step-by-step explanation:

Equation: -16x - 7

54th term: -16(54) - 7 = -864 - 7 = -871

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Make a table of ordered pairs for the equation. y=−1/3x+4 Then plot two points to graph the equation.
Zigmanuir [339]
This should help you

8 0
3 years ago
Read 2 more answers
B. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Svetach [21]

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

7 0
2 years ago
Solve (t - 3)2 = 6. The arrow is at a height of 48 ft after approximately _ s<br>and after _s​
Slav-nsk [51]

Answer:

The arrow is at a height of 48 ft after approximately <u>0.55</u> s  and after <u>5.45</u> s​

Step-by-step explanation:

The following information is missing:

<em>The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? </em>

If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:

48 = 96*t - 16*t²

16*t² - 96*t + 48 = 0

16*(t² - 6*t + 3) = 0

t² - 6*t + 3 = 0

t² - 6*t + 3 + 6 = 0 + 6

t² - 6*t + 9 = 6

(t - 3)² = 6

t - 3 = √6

t - 3 = 2.45; t = 2.45 + 3; t = 5.45

or

t - 3 = -2.45; t = -2.45 + 3; t = 0.55

3 0
3 years ago
Read 2 more answers
Convert 6 1/4 lb to ounces.
poizon [28]

Answer:

B 100 ounces

Step-by-step explanation:

There's 16 ounces in a pound. So multiply 6.25 by 16 to get 100.

7 0
2 years ago
John is walking around a circular track with a radius of 50 ft. If he walks the equivalent of 140 degrees, find the total distan
Vera_Pavlovna [14]

Answer: 122 ft

<u>Step-by-step explanation:</u>

s = r Ф   (Ф must be in radians)

Given: r = 50

          Ф = 140°

                 \dfrac{\pi}{180^o}=\dfrac{x}{140^o}  

                 \dfrac{140^o\pi}{180^o}=x

                     \dfrac{7\pi}{9}=x

s=50\bigg(\dfrac{7\pi}{9}\bigg)\\\\\\.\quad =\dfrac{350\pi}{9}\\\\\\.\quad =122\ ft

8 0
3 years ago
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