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Lapatulllka [165]
3 years ago
10

Pls help me guys! Thanks =P

Mathematics
1 answer:
Tema [17]3 years ago
6 0
(4*7/2)+(15*7)+(7*6/2) = 140
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What must be added to both sides of the equation x – 12 = 15 to isolate the variable?
pishuonlain [190]

Answer:

c. 12

Step-by-step explanation:

To isolate the variable, you need to cancel out whatever's on the same side of the variable by using the inverse of the operation.

Hope this helps!! Have an awesome day φ(*^0^)

8 0
3 years ago
Pls dont take points it is for someone in need of it pls dont steal the points and pls dont answer
andrew-mc [135]

Answer:

i need them

Step-by-step explanation:

6 0
3 years ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
3 years ago
Simplify each expression
Rzqust [24]

Answer:

See below

Step-by-step explanation:

1.

-6(a + 8)

Distribute the -6.

-6a - 48

2.

4(1 + 9x)

Distribute the 4.

4 + 36x or 36x + 4

3.

6(-5n + 7)

Distribute the 6.

-30n + 42

4.

(9m + 10) * 2

Rewrite.

2(9m + 10)

Distribute the 2.

18m + 20

5.

(-4 - 3n) * -8

Rewrite.

-8(-4 - 3n)

Distribute the -8.

32 + 24n or 24n + 32

6.

8(-b - 4)

Distribute the 8.

-8b - 32

7.

(1 - 7n) * 5

Rewrite.

5(1 - 7n)

Distribute the 5.

5 - 35n or -35n + 5

8.

-6(x + 4)

Distribute the -6.

-6x - 24

9.

5(3m - 6)

Distribute the 5.

15m - 30

10.

(-6p + 7) * -4

Rewrite.

-4(-6p + 7)

Distribute the -4.

24p - 28

11.

5(b - 1)

Distribute the 5.

5b - 5

12.

(x + 9) * 5

Rewrite.

5(x + 9)

Distribute the 5.

5x + 45

5 0
3 years ago
How do you do this question?
IRINA_888 [86]

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

∑ (-1)³ⁿ 1 / (8 + n)

Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

5 0
3 years ago
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