A hot air balloon travels 2016 miles in 96 hours. The balloon travels the same number of miles each hour. How many miles does the balloon travel in 1 hour

Answer:

The equation is: \(f(x) = 52000 - 8000x\)

Step-by-step explanation:

Given

Initial = 52000

Rate = 8000 each year

Required

Determine the equation of the graph

The equation can be determined using.

\(Amount = Initial - Rate* Years\)

We used minus (-) because, the amount reduces as the student pays.

Let

\(y = Amount\)

\(x = Years\)

So, we have:

\(y = Initial - Rate * x\)

Substitute values for Initial and Rate

\(y = 52000 - 8000 * x\)

\(y = 52000 - 8000x\)

Express as a function:

\(f(x) = 52000 - 8000x\)

Answer:

Step-by-step explanation:

A

Answer:

at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Step-by-step explanation:

Given the data in the question;

sample size n = 8

mean x' = 3.0

standard deviation σ = 0.23

To calculate the confidence interval, we use the following expression;

x' ± \(t_{\alpha /2, df\)( σ/√n) ------- let this be equation

now, at 99% confidence interval;

∝ = 1 - 99% = 1 - 0.99 = 0.01

degree of freedom df = n - 1 = 8 - 1 = 7

hence t-critical value = 3.499

in equation 1, we substitute in our values;

⇒ 3.0 ± 3.499( 0.23/√8  )

⇒ 3.0 ± 0.2845

⇒ 3.0 - 0.2845, 3.0 + 0.2845

⇒ ( 2.7155, 3.2845 )

Therefore at 99%, Confidence interval is ( 2.716, 3.285 )

( 2.716 < μ < 3.285 )

Answer:

C- 100 values

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

118-17+1 = 102

Proved that if E and F are mutually exclusive events and independent trials of this experiment are performed, then the probability that E occurs before F is P(E)/[P(E)+P(F)].

Let's consider the probability that event E occurs before F in a single trial of the experiment. There are two possibilities: either E occurs first, or F occurs first.

The probability that E occurs first can be calculated by considering the probability of E and not F in the first trial, followed by any outcome in the subsequent trials. Since E and F are mutually exclusive, the probability of not F is 1-P(F). Therefore, the probability that E occurs first in a single trial is:

P(E and not F) = P(E) × (1-P(F))

Similarly, the probability that F occurs first in a single trial is:

P(F and not E) = P(F) × (1-P(E))

Since E and F are mutually exclusive, the event E occurring before F and the event F occurring before E are also mutually exclusive.  

Geometric series with a common ratio = (1 - P(E+F)):

P(E before F) = P(E) * (1-P(F)) + P(E) * (1-P(E+F)) * (1-P(F)) + P(E) * (1-P(E+F))^2 * (1-P(F)) + ...

Using the formula for the sum of an infinite geometric series, we get:

P(E before F) = P(E) * (1-P(F)) / [1 - P(E+F)]

Substituting P(E+F) = P(E) + P(F) (since E and F are mutually exclusive) yields:

P(E before F) = P(E) / [P(E) + P(F)]

Learn more about probability here

brainly.com/question/11234923

#SPJ4

The total number of puppies can be gotten to be:

The number of puppies without spots will be:

Recall the probability definition and formula: A probability is the number of desired outcomes (D) divided by the number of total outcomes (T), that is:

From what we have calculated earlier, we have that:

Therefore, the probability will be:

The probability is 14/27 or 0.5185.

Answer:

x=40 mark brainlist please

Step-by-step explanation:

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

for such more question on radioactive isotope

https://brainly.com/question/20596678

#SPJ8

Answer:

The two equivalent expressions are 6(x − y) and 6x − 6y.

Step-by-step explanation:

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

To know more about continuous here

https://brainly.com/question/30089268

#SPJ1

Answer:

hi

Step-by-step explanation:

i think so...

\(\pi \times {r}^{2} \times \frac{h}{3} \\ 3.14 \times 3.5 \times \frac{9}{3} \\ = 32.97\)

hope it helps

bye

Answer:

Step-by-step explanation:

to solve, divide both sides by -3/2 to isolate x

you'll get x>1.5

to graph, make a ray pointing right from 1.5 with an open dot

Answer:

Step-by-step explanation:

x must be an even number from 0 to 9. So x can be

0 2 4 6 8

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

A number is divisible by 2 if the last digit is even

Possible digits are: 0, 2, 4, 6, 8

Answer:

y = -3x + 8.3

Step-by-step explanation:

You need to rearrange 9x + 3y = 22 in the form y = mx +c.

9x+3y = 22

3y = -9x +22

y = -3x + 7.3

As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.

\( \huge \boxed { \sf \: Answer}\)

We have to use the formula:

\((ab) ^{n} = {a}^{n} {b}^{n} \)

So,

\((5 \times 9) ^{12} \\ = {5}^{12} . 9^{12} \)

Also, it will be

\( 45^{12} \)

Hope you could understand.

If you have any query, feel free to ask.

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

To learn more about quotient

https://brainly.com/question/15305334

#SPJ1

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

Answer:

The answer for the question is 3/10

Answer: x= -2/9

Step-by-step explanation:

-12x-2(x+9)=5(x+4)

= -12x-2x+18=5x+20

= -14x+18=5x+20

= -9x+18=20

= -9x=2

/-9    /-9

x= -2/9

Answer:

66.9 ft

Step-by-step explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25  = opp / hyp  = height / 150

sin 25 = height / 150

150 sin25 = height      but it is 3.5 feet off of the ground...add that in

3.5  + 150 sin25 = true height = ~ 66.9 ft

37.902

Step-by-step explanation:

3.14x12+12

Answer:

9.875

Step-by-step explanation:

Answer:

9.875

Step-by-step explanation:

get a calculator

Answer:

15.4

Step-by-step explanation:

15.39 is closer to 15.40 or 15.4 then 15.30. Thus, the answer here is 15.4.

The answer of 6and7 irrational number is 6.875

Answer + Step-by-step explanation:

\(\frac{5^{10}}{5^{5}} =5^{10-5} = 5^5\)

\(\text{used property :} \ \ \ \frac{a^{m}}{a^{n}} =a^{m-n}\)

_______________________

\((4^8)^3 = a^{8 \times 3}=a^{24}\)

\(\text{used property :} \ \ \ (a^n)^m = a^{n \times m}\)

_______________________

\(10^{-4}=\frac{1}{10^{4}} \ \text{not} \ \frac{1}{4^{10}}\)

_______________________

15⁶ × 15³ = 15⁶⁺³ = 15⁹

_______________________

Recall : If a ≠0  ⇒ a⁰ = 1

Then

Since 6⁸ ≠ 0  ⇒ (6⁸)⁰ = 1  

Answer:

25 dfferent ways

Step-by-step explanation:

The answer is 25 different ways because since there are students and thy line up behind each other you  would do 5 times 5 which equals to 25.

Answer: 50 feet, 150 feet, 75 feet, and 180 feet

Step-by-step explanation:

The side lengths are x, 3x, 1.5x and 180 (in feet) and they must all add up to 455 feet, so ....

x + 3x + 1.5x + 180 = 455

(1+3+1.5)x + 180 = 455

5.5x + 180 = 455

Subtract 180 from both sides

5.5x = 275

x = 275/5.5

x = 50 feet  , but that was not really the question.

The question was the 4 side lengths.

The lengths are x, 3x, 1.5x and 180, all in feet.

x =    50 feet     ---->  50 feet

3x = 3(50 feet) ---> 150 feet

1.5x = 1.5(50 feet) ---> 75 feet

180 feet (given)

We check our work by adding the four sides ---> 50+150+75+180 = 455, so that looks good.

Don't forget to label the lengths in feet!

I hope this helps.

Answer:

1. D

2. AE (with a line above the 2 letters)

3. AC (with an arrowpointing to the right above the 2 letters)

4. B, A, and C