What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6

Answer:

x =√[y²+(27)²] = √[ z² - 3² +(27)²]

Step-by-step explanation:

step 1) x=√[y²+(27)²]

step 2)

We find y

z²=y²+3² → y² = z² - 3²

step 3) x = √[ z² - 3² +(27)²]

Answer:

i dont know im just doing this for the points

Answer:

0.0156 probability that they got three cats.

0.4219 probability that they got three dogs.

Step-by-step explanation:

For each person there are only two possible outcomes. Either they adopted a dog, or a cat. The probability of a person adopting a cat or a dog is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Three people:

This means that [tex]n = 3[/tex]

What's the probability that they got three cats?

25% of the time it's a cat adopted, which means that [tex]p = 0.25[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156[/tex]

0.0156 probability that they got three cats.

What's the probability that they got three dogs?

75% of the time it's a dog adopted, which means that [tex]p = 0.75[/tex]

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219[/tex]

0.4219 probability that they got three dogs.

Answer:

x = 16.1 in

Step-by-step explanation:

Using sin law

sin44 / x = sin98/ 23in

x = 16.1 in (nearest tenth)

Answer:

9

Step-by-step explanation:

Y = MX-B,

therefore Y = (6*4) - 15,

so Y = 24 - 15

Y = 9

Answer:

To find ratio mph (miles PER hour), we can write the information given as a fraction. (The miles will go on top and the number of hours will go on the bottom).

1/2=.5 miles

1/4-.25 miles

So we have .5miles/.25 hours

From here, we can do 2 things: divide to get 2miles/hour or you can see that you can reduce the fraction (.5/2=.25 and .25/.25=1). So again we get 2/1 miles per hour OR 2 mph

Hope that helps,

Gracie

Answer:

I

Step-by-step explanation:

Answer:

translation

Step-by-step explanation:

a rotation would make it horizontal which it is not

reflection would flip it its not fliped.

There for its translation

hope this helps

Answer:

base = 3.75 inches

Step-by-step explanation:

37.5 = 20b/2

37.5 = 10b

b = 3.75

Answer:

7

Step-by-step explanation:

subtract 8 from both sides so you are left with 4m=28

then divide both side by 4 then you get m=7

Answer: It’s B

Step-by-step explanation: because 4 x 7 + 8 = 36.  Hope that helped :)

Answer:

41-50

Step-by-step explanation:

Answer: 41-50

Step-by-step explanation:

It is the lowest one so it occurred less frequently.

Hope this helps :)

Answer:

82 m should be correct i hope

Step-by-step explanation:

Answer:

Maybe they are all 13s th am sure

arc AC=27°

arc BD=33°

arc CB=120°

Mark me as brainliest

it's answer is

volume of a cone = 21

Answer:

32pi

Radius=1/2 Diameter

radius=2

Area of circle= pi*radius^2= 4pi

4pi*8=32 pi

Answer:

[tex]F = \frac{2t + k}{3g} \\3Fg = 2t+k\\3Fg - k = 2t\\t = \frac{3Fg - k}{2}[/tex]

The Volume of rectangular Pyramid whose height inches is 40 cubic inches.

The volume of the rectangular pyramid is defined as the capacity of the rectangular pyramid. In geometry, a rectangular pyramid is a three-dimensional geometric shape that has a rectangular base and four triangular faces that are joined at a vertex.

Here, height of pyramid = 6 inches

base area = 4 X 5 = 20 sq. inches

Volume of rectangular pyramid = 1/3 × Base Area × height

                                                       = 1/3 X 20 X 6

                                                      = 120 / 3

                                                      = 40 cu. inches

Thus, the Volume of rectangular Pyramid whose height inches is 40 cubic inches.

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9514 1404 393

Answer:

  3.67 years

Step-by-step explanation:

The amount is found using the compound interest formula.

  A = P(1 +r/n)^(nt)

for principal P invested at annual rate r compounded n times per year for t years.

We can solve this for t:

  A/P = (1 +r/n)^(nt) . . . . divide by P

  log(A/P) = (nt)log(1 +r/n) . . . . take the logarithm

  t = log(A/P)/(n·log(1 +r/n)) . . . . divide by the coefficient of t

Filling in the given values, we find ...

  t = log(12000/10000)/(4·log(1 +0.05/4)) ≈ 3.6692

It will take about 3.67 years for the balance to reach $12,000.

Answer:

the answer is 3.67 years

Answer:

9165.0

Step-by-step explanation:

13*94*7.5 = 9165.0

Answer:

A. 0.005 = 0.5% probability that the parcel went via El and was late

B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. 0.8148 = 81.48% probability that is was not sent via E1

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?

50% are chosen via E1, and of those, 1% were late. So

[tex]p = 0.5*0.01 = 0.005[/tex]

0.005 = 0.5% probability that the parcel went via El and was late

B. What is the probability that a randomly selected parcel arrived late?

1% of 50%(via E1)

2% of 10%(via E2)

5% of 40%(via E3).

So

[tex]p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027[/tex]

0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?

Conditional Probability.

Event A: Late

Event B: Not sent via E1

0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that [tex]P(A) = 0.027[/tex]

Late and not sent via E1:

2% of 10%(via E2)

5% of 40%(via E3).

So

[tex]P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148[/tex]

0.8148 = 81.48% probability that is was not sent via E1

The function representing the mass of Element X after t days is [tex]{\text} M(t) = 390 * (0.41)^t[/tex], and the percentage rate of change per hour is 2.46%.

Given:

Initial mass = 390 grams

Rate of decay = 59% = 0.59

The general form of an exponential decay function is:

[tex]{\text}y = a (1 - r)^t[/tex]

So, the function to represent the mass of the sample after t days would be:

[tex]{\text} (t) = 390 * (1 - 0.59)^t[/tex]

Simplifying this equation gives

[tex]M(t) = 390 * (0.41)^t[/tex]

Now, the hourly rate of change is

Hourly rate of change = 0.59 / 24  

                                     = 0.024583

                                     = 2.46% per hour.

Therefore, the function is [tex]{\text} M(t) = 390 * (0.41)^t[/tex]and the rate of change is 2.46%.

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9514 1404 393

Answer:

  76.5 units

Step-by-step explanation:

This is an interesting question. The side lengths are proportional to the sine of the opposite angle. So, we can find a scale factor for the given length by adding the sines of the angles and dividing by the sine of the angle opposite the given side.

The three angles are ...

  43°, 63° and 74° (the supplement of the sum of the other two)

So, the scale factor mentioned above is ...

  (sin(43°) +sin(63°) +sin(74°))/sin(74°) ≈ 2.636396

Then the perimeter of the triangle is ...

  (2.636396)(29) ≈ 76.5 . . . units

Answer: 27.1 cubic meters

Step-by-step explanation: The area for finding the volume of a pyramid is V=1/3 Bh, where B= base, and h=height. To substitute in the numbers from the problem, you get V=1/3 times 8.3 times 9.8. 9.8 times 8.3 is 81.34. 81.34 times 1/3 rounds to 27.1.

Answer:

8 1/12 boxes

Step-by-step explanation:

Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.

Answer:

B

Step-by-step explanation:

Answer:

I think C is the answer

Answer: 1.249 × 10^11

Step-by-step explanation:

Answer:

tydghhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

hv