First, subtract 2/3 from both sides and you get
Then multiply both sides by 6/5 and you get
Answer:
f(1) = 16
Domain: 0 ≤ t ≤ 2
Step-by-step explanation:
Given
f(t) = -16t²+ 32t
Solving (a): f(1)
Substitute 1 for t in f(t)
f(t) =− 16t²+ 32t .
f(1) =− 16 * (1)²+ 32 * 1
f(1) = -16 * 1 + 32
f(1) = -16 + 32
f(1) = 16
Solving (b): The domain
The implication of the given parameter in (b) is that t ≤ 2.
Since t represents time, t can't be negative.
Hence, a reasonable domain is
0 ≤ t ≤ 2
Answer:
d. 15
Step-by-step explanation:
Putting the values in the shift 2 function
X1 + X2 ≥ 15
where x1= 13, and x2=2
13+12≥ 15
15≥ 15
At least 15 workers must be assigned to the shift 2.
The LP model questions require that the constraints are satisfied.
The constraint for the shift 2 is that the number of workers must be equal or greater than 15
This can be solved using other constraint functions e.g
Putting X4= 0 in
X1 + X4 ≥ 12
gives
X1 ≥ 12
Now Putting the value X1 ≥ 12 in shift 2 constraint
X1 + X2 ≥ 15
12+ 2≥ 15
14 ≥ 15
this does not satisfy the condition so this is wrong.
Now from
X2 + X3 ≥ 16
Putting X3= 14
X2 + 14 ≥ 16
gives
X2 ≥ 2
Putting these in the shift 2
X1 + X2 ≥ 15
13+2 ≥ 15
15 ≥ 15
Which gives the same result as above.
Frist you do 6*13
Which equals 78
Then you do 8,500/78
Which equals <span>108.974358974</span>
<span>Then you round it to 109</span>
<span>and there's your awnser</span>
<span>
</span>
The two triangles are similar by SSA similarity. Option B is correct.
<h3>What is the triangle?</h3>
A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
If the ratio of the sides are same as well as the one angle is common between the two triangles then in that condition there will be SSA similarity.
From the triangle ABC and DEC
The ratio of the sides is;
One angle c is common in the two triangles.
The two triangles are similar by SSA similarity.
Hence, option B is correct.
To learn more about the triangle, refer to:
brainly.com/question/2773823
#SPJ1
