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3 years ago

Please solve and explain, thanks!! :))

Mathematics

2 answers:

pantera1 [17]3 years ago

6 0

Answer:

B. 8x + 12

Step-by-step explanation:

First you'd start with the parentheses because of PEDMAS. But because you can't do anything in there, you go to multiplying 4 by each item inside the parentheses. 4x2x gives 8x. 4x3 gives 12. Leaving you with 8x+12. Hope that helps! :)

Naddika [18.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

Its B because you distribute each term inside the parenthesis by the number out side

4×2x= 8x

4×3= 12

Get rid of the parenthesis after distributing

which makes 8x+12

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Katarina [22]

Answer:

The greatest common factor of 64 and 72 is 8.

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3 years ago

How long would it take an ant to run from Los Angeles to New York City?

Dmitriy789 [7]

Answer:

2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour

Step-by-step explanation:

2,798.5 miles from L.A. to New York, an ant travels at 3 inches a second, we multiply 3 by 60 to get 120 inches a minute convert that into feet to get 10 feet, now multiply that by another 60 to get 600 feet an hour now multiply 600 by 24 to get 14,400 feet a day convert that into miles to get 2.72 miles a day now take 2.72 miles and divide that by the distance between the 2 cities to get about 1030 days, now if we put that into years, months, weeks, days and hours we get 2 Years, 9 Months, 3 Weeks, 5 Days and 1 Hour

3 0

3 years ago

Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.

Sauron [17]

Answer:

If you meant $9^x+4=11$ , then the answer is approximately 0.866.

If you meant $9^{x+4}=11$ , then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

$9^x+4=11$

First step is to get the exponential part by itself. The part that has the variable exponent which is the $9^x$ term.

To do this we need to subtract 4 on both sides:

$9^x=11-4$

Simplify:

$9^x=7$

The equivalent logarithmic form is:

$\log_9(7)=x$

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing $\log_b(a)$ in your calculator you need to use the change of base formula.

$\frac{\log(7)}{\log(9)}=x$

So $x \approx 0.8856$

I don't see this as a choice so maybe you actually meant the following equation:

$9^{x+4}=11$

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

$\log_9(11)=x+4$

Now we subtract 4 on both sides:

$\log_9(11)-4=x$

Again if you don't have the option for computing $\log_b(a)$ in your calculator, you will have to use the change of base formula:

$\frac{\log(11)}{\log(9)}-4=x$

$x \approx -2.909$

6 0

3 years ago

The Australian sheep dog is a breed renowned for its intelligence and work ethic. It is estimated that 45% of adult Australian s

ArbitrLikvidat [17]

Answer:

Probability of more than 9 adult Australian sheep dogs out of 12 weighing 65 lb or more

P(X > 9) = 0.00788

Step-by-step explanation:

The only assumption required for the question is that all 12 adult dogs sampled must all be Australian sheep dogs.

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of adult dogs to be sampled = 12

x = Number of successes required = number of dogs that weigh 65 lb or more

= more than 9; >9

p = probability of success = probability of a dog weighing 65 lb or more = 0.45

q = probability of failure = probability of a dog NOT weighing 65 lb or more = 1 - 0.45 = 0.55

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

Solving each of these probabilities, using the binomial distribution formula

P(X = x) = ¹²Cₓ (0.45)ˣ (0.55)¹²⁻ˣ with x = 10, 11 and 12

P(X > 9) = P(X=10) + P(X=11) + P(X=12)

= 0.00679820806 + 0.00101130368 + 0.00006895252

= 0.00787846427

= 0.00788 to 3 s.f

Hope this Helps!!!

3 0

3 years ago

Read 2 more answers

Peaches are being sold for 2$ per pound. If x represents the number of pounds of peaches bought and y represents the total cost

ladessa [460]

3x-x+2=4, That should be your answer if that is what your looking for

6 0

4 years ago