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Katarina [22]
3 years ago
5

Avery is mixing red dye with brown dye to make a maroon dye she needs less than 200 ml of the maroon dye. She wants to mix at le

ast 2 times as much red the as brown dye
Mathematics
1 answer:
enot [183]3 years ago
7 0
To answer this item, we let x and y be the amounts (in mL) of the red and the brown dyes, respectively. The equations that would allow us to answer the question are,
                               x + y < 200
                                  
                                    x ≤ 2y
The values of x and y in the inequalities are therefore 133.33 mL and 66.67 mL. 
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iren2701 [21]
Given a integer depending on whether or not it is positive or negative it is always opposite of what it is. For example the opposite of 7 is -7
5 0
2 years ago
The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
3 years ago
  What values for θ (0 ≤ θ ≤ 2pie ) satisfy the equation? 
svetoff [14.1K]
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
7 0
3 years ago
What is the value of log^416
crimeas [40]

Answer:

log 4

Step-by-step explanation:

Log 4 is the answer

6 0
3 years ago
Read 2 more answers
Please help me with this!!!!!
pav-90 [236]

Answer:

B

Step-by-step explanation:

The line on the left has a negative slope of - 1 and a y- intercept at 2

The line has a closed circle at x = 1, thus

- x + 2 for x ≤ 1

The line on the right has a positive slope of 1 and a projected y- intercept at 1

The start of the line has an open circle at x = 1 indicating it cannot equal 1, thus

x + 1 for x > 1

The definition for the function is B

6 0
3 years ago
Read 2 more answers
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