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elixir [45]
3 years ago
8

The length of a rectangle is 5t+6 and its height is t^6 , where t is time in seconds and the dimensions are in inches. Find the

rate of change of area, A, with respect to time
Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
\bf \textit{area of a rectangle}\\\\
A=l\cdot w\qquad 
\begin{cases}
l=length\\
w=width\\
-----\\
l=5t+6\\
w=t^6
\end{cases}\implies A(t)=(5t+6)t^6
\\\\\\
A(t)=5t^7+6t^6\implies \cfrac{dA}{dt}=35t^6+36t^5
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A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.
mihalych1998 [28]

Answer:

1.5

Step-by-step explanation:

Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;

Students;    no. of siblings

student 0     2

student 1      4

student 2     7

student 3     5

student 4     2

Total             20

Mean no. of siblings = (total number of siblings) ÷ (total number of students)

Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.

Therefore, mean = 20 ÷ 5 = 4 siblings.

6 0
3 years ago
Read 2 more answers
7. Use the table of values of trigonometric
svetoff [14.1K]

Answer:

1+sq root 3/2 or 1+1.732/2

Step-by-step explanation:

sin 30°=1/2

cos 30°= under sq. root 3/2

so

sq root 3= 1.732

6 0
4 years ago
13.02-6y=8y using the method of solving linear equations
gregori [183]

well add -6y to 6y which equals 0 then add 8y to 6y which equals 14y

now you have 13.02=14y 

now you can divide 13.02 divided into 14 which equals 0.93

0.93 = y

5 0
3 years ago
What is the LCM (12, 15)?
alexandr1967 [171]

Answer:

60

Step-by-step explanation:

12x5=60 and 15x4=60 so 60 is the LCM

3 0
3 years ago
Using the functions f(x) = 2x + 7, g(x) = x2 - 4, and h(x) = 5x. Find all of the following. Make sure your answer is in simplest
Stolb23 [73]

Answer:

Given

f(x) = 2x+7

g(x) = x^2-4

h(x) = 5x

a. 4h(x)

= 4 * 5x

= 20x

b. f(x) - g(x)

f(x) - g(x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f(g(x)) = 2(g(x))+7

=2(x^2-4) +7

=2x^2-8+7

=2x^2-1

d. g(x)h(x) = (x^2-4)(5x)

= 5x^3 - 20x

e. g(x) / f(x) = x2 - 4/ 2x + 7

7 0
3 years ago
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