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3 years ago

What are the domain,range and asymptote of h(x)=6^x-4

Mathematics

2 answers:

iragen [17]3 years ago

9 0

The domain and range are all real numbers.

The asymptote is y = -4

Margaret [11]3 years ago

5 0

6^x is an exponential function; its domain is the set of all real numbers.

The range of 6^x is (0, infinity). The range of 6^x - 4 is (-4, infinity).

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Show the ratios are equivalent by simplifying any 4 of them.

aliya0001 [1]

When simplified all of them equal 3/1. They are asking you to just chose 4 of them. Hope that helps!

4 0

4 years ago

What is the rate of change of the volume of the cylinder at that instance (in cubic kilometers per second)?

Kay [80]

Answer:

hello your question is incomplete attached below is the complete question

answer : -2400 π

Step-by-step explanation:

dr/dt = -12 km/s

h = 2.5 km

r = 40 km at some instant

hence the rate of change of Volume of cylinder at that instance

= dv / dt = $d(\pi r^h ) / dt$

= $\pi h\frac{d(r^2)}{dt}$ = $-\pi h *2r *dr/dt$

hence ; dv / dt = -2400 π

3 0

3 years ago

The probability that an American CEO can transact business in a foreign language is .20. Twelve American CEOs are chosen at rand

NNADVOKAT [17]

Answer with Step-by-step explanation:

We are given that

The probability that an American CEO can transact business in foreign language=0.20

The probability than an American CEO can not transact business in foreign language= $1-0.20=0.80$

Total number of American CEOs chosen=12

a. The probability that none can transact business in a foreign language= $12C_0(0.20)^0(0.80)^{12}$

Using binomial theorem $nC_r(1-p)^{n-r}p^r$

The probability that none can transact business in a foreign language= $\frac{12!}{0!(12-0)!}(0.8)^{12}=(0.8)^{12}$

b.The probability that at least two can transact business in a foreign language= $1-P(x=0)-p(x=1)=1-((0.8)^{12}+12C_1(0.8)^{11}(0.2))=1-((0.8)^{12}+12(0.8)^{11}}(0.2))$

c.The probability that all 12 can transact business in a foreign language= $12C_{12}(0.8)^0(0.2)^{12}$

The probability that all 12 can transact business in a foreign language= $\frac{12!}{12!}(0.2)^{12}=(0.2)^{12}$

5 0

3 years ago

The area of the square is 225 square centimeters. What is the length of each side?

kirill [66]

The answer is 15, to find this take 225 and square root

The area of a square is length times length( or side times side) . 15 times 15 is 225

4 0

3 years ago

Read 2 more answers

Maya says that value of the 6 in 0.006 is 1/10 of the value of the 6 in 0.6 . Is she correct? Explain

Nikolay [14]

Answer:

Maya is NOT correct as

$\frac{1}{1000}$ is 1/100 of the value $\frac{1}{10}$

Step-by-step explanation:

The value of 6 in 0.006 = $\frac{1}{1000}$

Also, the value of 6 in 0.6 = $\frac{1}{10}$

But, $\frac{1}{1000}$ is not 1/10 of the value $\frac{1}{10}$

as 1/10 of the value $\frac{1}{10}$ = $\frac{1}{100}$

Hence,Maya is NOT correct.

$\frac{1}{1000}$ is 1/100 of the value $\frac{1}{10}$

8 0

3 years ago