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lbvjy [14]
3 years ago
13

One thumbtack weighs 0.25 ounce. How many thumbtacks are in a box that has a mass of 3500 grams? (Hint: 1oz ~28g

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0
Alright so .25 oz is 1/4 of 1oz.  Therefore you take 28 and divide it by 4 and get 7.

Then take 3500 and divide it by 7 which makes 500 thumb tacks.

I think idk though.
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Find the next term is in the explicit and recursive rule for the in term of the sequence. NO LINKS!!!
BARSIC [14]

9514 1404 393

Answer:

  5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]

  6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]

Step-by-step explanation:

The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)

The Explicit Rule is ...

  a_n=a_1\cdot r^{n-1}

for first term a₁ and common ratio r.

The Recursive Rule is ...

  a[1] = a₁

  a[n] = r·a[n-1]

__

5. First term is a₁ = 3; common ratio is r = 9/3 = 3.

Next term: 243×3 = 729

Explicit rule: an = 3·3^(n-1) = 3^n

Recursive rule: a[1] = 3; a[n] = 3·a[n-1]

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6. First term is a₁ = 7; common ratio is r = 28/7 = 4.

Next term: 448×4 = 1792

Explicit rule: an = 7·4^(n-1)

Recursive rule: a[1] = 7; a[n] = 4·a[n-1]

7 0
3 years ago
Write an equation of a line that passes through (-12, -14) with slope 6.
damaskus [11]

The slope intercept form of a line is y = mx + b

  • m = slope
  • b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

  • y = 6x + b
  • We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

  • -14 = 6(-12) + b

Solve for b to find the y-intercept.

  • -14 = -72 + b
  • 58 = b

Your new equation (your answer) is<em> </em>y = 6x + 58.

6 0
3 years ago
Given g(x) =2x+4, solve for x when g (x) = -8
Temka [501]

Answer:

Step-by-step explanation:

X=-6

7 0
2 years ago
Read 2 more answers
What is the hypotenuse?<br><br> legs are 10 and 11
Anit [1.1K]
Hey!

You have to use the Pythagorean Theorem

a² + b² = c²

a = 10
10² = 10 × 10 = 100

b = 11
11² = 11 × 11 = 121

100 + 121 = 221

√221 = 14.9(rounded)

Answer ⇒ 14.9

Hope this helps! :)



3 0
3 years ago
Read 2 more answers
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lutik1710 [3]

Answer:

(d + 8m)^2

Step-by-step explanation:

d^2 + 16dm + 64 m^2  = (d + 8m)^2

3 0
3 years ago
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