We can let x and y represent cups of lemonade and numbers of lemon bars, respectively. Then the constraints are ...
- x ≥ 150
- y ≥ 0
- 2x +1.5y ≥ 500
- 0.25x +0.20y ≤ 100
A graph is shown in the attachment, with the ordered pairs plotted. It is not feasible to sell half cups of lemonade or half lemon bars, so the second and third choices must be excluded. The point (160, 110) falls outside the feasible region, so is not a correct choice.
The correct choices are ...
Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
<span><span><span><span>g<span>t2</span></span>2</span>=2g</span><span><span><span>g<span>t2</span></span>2</span>=2g</span></span><span> or 19.9m.</span>
Answer:
<h3>B. 16°</h3>
Step-by-step explanation:
The diagram lacks the appropriate figure. Find the figure attached. If the line I is perpendicular to m, this means that the sum of the given angles will be equal to 90° as shown;
(3x+5)° + 37° = 90°
open the parenthesis
3x+5 + 37° = 90°
3x+42 = 90
subtract 42 from both sides of the equation
3x+42-42 = 90-42
3x = 48
Divide both sides of the resulting equation by 3;
3x/3 = 48/3
<em>x = 16</em>
<em>Hence the value of x is 16°</em>
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:

Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by

where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting r = 2 and a₁ = 7 in the nth term


Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
