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trasher [3.6K]
3 years ago
11

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
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