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Levart [38]
3 years ago
11

Expand and simplify2(2y + 1) + 2(5y - 3)​

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

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Which expression belongs in the box?
MakcuM [25]

Answer:

The expression that belongs in the box is 8 x 4

Option C is correct answer.

Step-by-step explanation:

We need to find Which expression belongs in the box?

(3 \times 8)  \times 4= 3 \times (------)

The property applied here is associative property of multiplication.

Associative property of multiplication states that:

(a \times b)\times c = a \times (b \times c)

So, if we apply the property to our question we have:

a = 3

b = 8

c = 4

So, the expression will become: (3 \times 8)  \times 4= 3 \times (8 \times 4)

So, the expression that belongs in the box is 8 x 4

Option C is correct answer.

3 0
3 years ago
Suppose that cot θ = c and 0 < θ < π 2 . what is a formula for cos θ in terms of c?
loris [4]

Answer:

<h3>cosθ = c/√1+c²</h3>

Step-by-step explanation:

Given cot θ = c and 0 < θ < π/2

In trigonometry identity:

cotθ  = 1/tanθ = c

1/tanθ = c

cross multiply

tanθ  = 1/c

According to SOH, CAH, TOA:

Tanθ = opposite/adjacent = 1/c

cosθ = adjacent/hypotenuse

To get the hypotenuse, we will use the pythagoras theorem:

hyp² = opp²+adj²

hyp² = 1²+c²

hyp = √1+c²

Find cosθ in terms of c

cosθ = c/√1+c²

Hence the formula for cos θ in terms of c is cosθ = c/√1+c²

5 0
3 years ago
For each problem, select the answer from the two choices.
Veseljchak [2.6K]

Answer:

  1. a. More than 20
  2. b. Less than 10
  3. b. Less than 0.2

Step-by-step explanation:

  1. 212.5
  2. 9.7
  3. 0.1608

Hope it helped you

7 0
3 years ago
There are 150 marigold plants in a back yard. Each month, the number of marigold plants decreases by 15%. There are 125 sunflowe
AleksandrR [38]
Part A-For marigold plants X, a geometric sequence has a general form of:

X = Xo * (1 + r)^n

where r = -15% = -0.15   (negative since it is decreasing)

Xo = the initial amount of marigold plants = 150

X = 150 * (1 – 0.15)^n

X = 150 (0.85)^n

 

4 0
4 years ago
two batteries cost 3.00 A twelve pack of the same batteries cost 15 is the relationship between the number of batteries and the
olga_2 [115]

Answer:

Step-by-step explanation:

$3/(2 batteries)  = $1.50/battery

$15/(12 batteries) = $1.25/battery

Not proportional.

5 0
3 years ago
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