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3 years ago

What is the average rate of change for this exponential function for the interval from x=1 to x=3

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

the answer is 3

Step-by-step explanation:

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If the null space of a 5 × 8 matrix A is 4-dimensional, what is the dimension of the column space of A? dim Col A-(Simplify your

Eva8 [605]

Answer: Dim Col A = 4.

Step-by-step explanation:

Since we have given that

Matrix A has 5 rows and 8 columns.

And Nul A = 4

It implies that the rank of A would be

Number of columns - Nul A = 8 - 4 =4

So, rank A = 4

so, it has dim Col A = 4 also.

But the four vector basis lie in R⁵.

Hence, Dim Col A = 4.

5 0

3 years ago

How do I do this geometry problem?

lilavasa [31]

Answer:

x = 12

Step-by-step explanation:

I believe that the two tangents are equal to each other so 2x would be equal to x + 12, so you would subtract x from x + 12 and get x equals 12. I think...

7 0

2 years ago

Find the limit of the function by using direct substitution. Limit as x approaches zero of quantity x squared plus ten. Answer C

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

So we are given the limit:

$\lim_{x \to 0} (x^2+10)$

To figure out this limit, we can use direct substitution. Simply substitute 0 for x and then simplify. Therefore:

$\lim_{x \to 0} (x^2+10)\\=(0)^2+10\\=0+10\\=10$

Therefore, the limit equals 10.

8 0

3 years ago

Suppose an individual wants to have exactly $400,000 available for her child's education. (a) Find the amount that would have to

Airida [17]

Answer: a) $135,838.21 b) $46,130.05

<u>Step-by-step explanation:</u>

$A=P\cdot e^{rt}$

A: accrued amount (balance)
P: principal (initial amount invested)
r: interest rate (in decimal form)
t: time

(a) Given:

A = 400,000
P = unknown
r = 12% = 0.12
t = 9

$400,000=P\cdot e^{(0.12)(9)}\\\\400,000=P\cdot e^{1.08}\\\\\dfrac{400,000}{e^{1.08}}=P\\\\\large\boxed{135,838.21}$

(b) Given:

A = 400,000
P = unknown
r = 12% = 0.12
t = 18

$400,000=P\cdot e^{(0.12)(18)}\\\\400,000=P\cdot e^{2.16}\\\\\dfrac{400,000}{e^{2.16}}=P\\\\\large\boxed{46,130.05}$

3 0

3 years ago

Rewrite the expression log5 7 using only the natural logarithm (5 is the base)

ELEN [110]

7 times 5 equal 35. Hope this helped

7 0

3 years ago