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3 years ago

HELP!!! Please simplify: 4^(x+1)*2^(2x)

Mathematics

2 answers:

Scorpion4ik [409]3 years ago

5 0

The correct answer should be 2^4x+2! i hope this helps!

valentina_108 [34]3 years ago

3 0

Answer:

24x+2

Step-by-step explanation:

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-4x + 2x + 3x + 8<br> Asap

Talja [164]

Answer:

x + 8

Step-by-step explanation:

1. To simplify this expression, we have to combine like terms.

(-4x + 2x + 3x) + (8)
(-2x + 3x) + (8)
x + 8

Therefore, the answer is x + 8.

4 0

2 years ago

If the principle is $12,000 and the rate of interest is 6% (simple interest), what

Elza [17]

9514 1404 393

Answer:

$12,720

Step-by-step explanation:

The amount is given by the formula ...

A = P(1 +rt)

where P is the principal, invested at rate r for t years.

A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

7 0

2 years ago

A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,

33.7625 9.7125 30.525

39.2375 11.2875 35.475

Using chi^2 = Sum[(O - E)^2/E],

chi^2 = 4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a = 3

b = 2

df = 2

Thus, the critical value is

significance level = 0.05

chi^2(critical) = 5.991464547

Also, the p value is

P = 0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0

3 years ago

suppose the temperature outside is dropping 2.5 degrees each hour how much will the temperature change in 6 hours

mote1985 [20]

Answer:

15 degrees

Step-by-step explanation:

2.5x6= 15

8 0

3 years ago

Read 2 more answers

The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

$\frac{TSA}{LSA}=\frac{5}{3}$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

4 0

2 years ago