Answer:
Step-50*t + 30*m = 1500, (1) (pounds)
4*t + 3*m = 138. (2) (cubic feet)
From (2), express 3m = 138 - 4t, and substitute it into (1). You will get
50t + 10*(138-4t) = 1500, or
10t = 1500 - 1380 ---> 10t = 1120 ---> t = 112 TVs.
From this point, find the number of microwaves on your own.
step by-step explanation:
Answer:
The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
Step-by-step explanation:
Let
, for
.
represents the temperature of the water, measured in degrees Celsius, and
is the number of salmon swimming upstream to spawn, dimensionless.
We compute the first and second derivatives of the function:
(Eq. 1)
(Eq. 2)
Then we equalize (Eq. 1) to zero and solve for
:

And all roots are found by Quadratic Formula:
, 
Only the first root is inside the given interval of the function. Hence, the correct answer is:

Now we evaluate the second derivative at given result. That is:


According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.
To find corresponding angles and sides, you look at the name of the figure and see which one correlates.
QUESTION 6
ABC and DEF
Corresponding Angles-
A,D
B,E
C,F
Corresponding Sides-
AB, DE
BC, EF
AC, DF
QUESTION 7
FGHI and KLMN
Corresponding angles-
F,K
G,L
H,M
I,N
Corresponding Sides-
FG,KL
GH,LM
HI,MN
FI,KN
8-
x=12
9-
y= 25.6
10-
z= 23 1/3
11-
36=k
Answer:
5:1 cm
Step-by-step explanation:
Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:

Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.
÷
= 
Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is
, and the lowest terms of the ratio 25:5 cm is 5:1 cm.
Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)
You take turns plugging in each number for your answers. I’ll list them below.
6(0) - (0)2 = 0
6(1) - (1)2 = 4
6(2) - (2)2 = 8
6(3) - (3)2 = 12
6(4) - (4)2 = 16
6(5) - (5)2 = 20
6(6) - (6)2 = 24
The pattern I’ve noticed is every time you increase the value from the previous meaning for x, the solution increases by 4. I hope this helps and let me know if I’m right.