32.625 is the same as 32 and 5/8 .
Answer:
192
Step-by-step explanation:
Supplies = 2 model cost
= 2*64 = 128
Total cost = model + supplies
= 64 + 128
=192
Tan⁴x - sec⁴x = 1 - 2sec²x
tan²x = sec²x - 1
tan⁴x - sec⁴x = 1 - 2sec²x
(tan²x)² - sec⁴x = 1 - 2sec²x
(sec²x - 1)² - sec⁴x = 1 - 2sec²x
(sec²x)² - 2 * sec²x + 1 - sec⁴x = 1 - 2sec²x
sec⁴x - 2 sec²x + 1 - sec⁴x = 1 - 2sec²x
sec⁴x can be cancelled:
- 2 sec²x + 1 = 1 - 2sec²x
1 - 2sec²x = 1 - 2sec²x
Given:
The inequality is

Where, c is the number of cars in the parking lot.
To find:
The graph for the given inequality.
Solution:
We have,

Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.
Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.
In the graph of the given inequality, there are close circles on 0,1, 2,3,4, 5,6,7 as shown in option D.
Therefore, the correct option is D.
A)
since she washed 30 plates in 5 mins (7:30 to 7:35) the ratio was 5:30 or in simplest form 1min:6plates
This means she washes 6 plates a min and thus from 7:15 to 7:38 (23 mins) she washes:
6X23 = 138 plates
b)
L - plates left
T- total plates
t - time(mins)
"L = T - 6x"
This is because she washes 6 plates a min