the drinking water needs of an office are met by large water bottles. one end of a 0.25-in diameterplastic hose is inserted into the bottle placed on a high stand, while the other end with an on/off valve is maintained 2 ft below the bottom of the bottle. if the water level in the bottle is 1.5 ft when it is full, determine how long it will take at the minimum to fill an 8-oz glass (

Answer:

b

Step-by-step explanation:

used graphing calculator

Answer: (n+3)^2

Step-by-step explanation:

This is the answer lol

Answer:

C

Step-by-step explanation:

Answer: -3

Step-by-step explanation: Hope I helped! :D

The slope of the line is -4, the slope of the perpendicular line is 1/4

A general linear equation is written as:

y = ax + b

Where a is the slope and b is the y-intercept.

Here we can see that the y-intercept is b = 9, then we replace that:

y = ax + 9

The line also passes through the point (1, 5), then we can replace that to get:

5 = a*1 + 9

5 - 9 = a

-4 = a

That is the slope.

To find the slope of a line perpendicular to it, remember that if two lines are perpendicular then the product between the slopes is -1, then if the slope of the line perpendicular is p, we have that:

p*-4 = -1

p = 1/4

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Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

In statistical experiments, each time the experiment is repeated, a different outcome may occur. The correct answer is C.

Statistical experiments involve random processes, such as the random selection of individuals from a population, the random assignment of subjects to groups, or the random measurement of a variable.

The outcome of a statistical experiment is influenced by chance and is inherently uncertain, so it is not possible to guarantee that the same outcome will occur every time the experiment is repeated. Different outcomes may occur, even if the experimental conditions are kept constant, due to the random nature of the processes involved.

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Answer:

  2378 m

Step-by-step explanation:

You want the ground distance from the takeoff point to an airplane that has flown 2500 m in the air at a takeoff angle of 18°.

The cosine relation tells you ...

  Cos = Adjacent/Hypotenuse

  Adjacent = Hypotenuse · Cos

Here, the hypotenuse of the right triangle model is 2500 m, the angle is 18°, and we want to find the side of the triangle adjacent to the angle:

  AD = AP·cos(18°) = 2500·0.9510565 ≈ 2377.64 ≈ 2378 . . . . meters

The ground distance is about 2378 m.

Answer:

We can use a proportion, here:

Let x be the main span length

15 ft/ 1cm  =  x ft / 284 centimeters      cross-multiply

284 * 15  = x   = 4260 ft

(a) After integrating and simplification, the ∫(3x² - 4)² x³ dx is 9(x⁸/8) - 24(x⁵/5) + 16(x⁴/4) + C, and also

(b) The integral ∫(x + 3)/x⁷ dx is = (-1/5x⁵) - (1/2x⁶) + C.

Part(a) : We have to integrate : ∫(3x² - 4)² x³ dx,

We simplify using the algebraic-identity,

= ∫(9x² - 24x + 16) x³ dx,

= ∫9x⁷ - 24x⁴ + 16x³ dx,

On integrating,

We get,

= 9(x⁸/8) - 24(x⁵/5) + 16(x⁴/4) + C,

Part (b) : We have to integrate : ∫(x + 3)/x⁷ dx,

On simplification,

We get,

= ∫(x/x⁷ + 3/x⁷)dx,

= ∫(1/x⁶ + 3/x⁷)dx,

= ∫(x⁻⁶ + 3x⁻⁷)dx,

On integrating,

We get,

= (-1/5x⁵) - (3/6x⁶) + C,

= (-1/5x⁵) - (1/2x⁶) + C,

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The given question is incomplete, the complete question is

(a) Use algebra to rewrite the integrand; then integrate and simplify. (Use C for the constant of integration.)

∫(3x² - 4)² x³ dx,

(b) Use algebra to rewrite the integrand; then integrate and simplify. (Use C for the constant of integration.)

∫(x + 3)/x⁷ dx.

Answer:

8, 4, 0, -4, - 8, .........

Step-by-step explanation:

The n the term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and a₁₅ = - 48, then

8 + 14d = - 48 ( subtract 8 from both sides )

14d = - 56 ( divide both sides by 14 )

d = - 4

To obtain the progression subtract 4 from each term, that is

8, 4, 0, - 4, - 8, ......

Answer:

8, 4, 0, -4, -8, -12, -16, -20,...

Step-by-step explanation:

Arithmetic Progressions

The general term of an arithmetic progression (A.P.) is:

\(a_n=a_1+(n-1).r\)

Where:

a1  = First term

an = Term number n

n   = Number of the term

r   = Common difference

We are given: a1=8, and a15=-48, n=15. Calculate r:

\(\displaystyle r=\frac{a_n-a_1}{n-1}\)

\(\displaystyle r=\frac{-48-8}{15-1}\)

\(\displaystyle r=\frac{-56}{14}\)

r = -4

We can get the terms of the progression by subtracting 4 to the previous term.

Thus, the first terms of the progression are:

8, 4, 0, -4, -8, -12, -16, -20,...

Answer:

Step-by-step explanation:

Feel pleasure to help you.

Here,

Let the first term be denoted by a and commom difference by b.

Now,

T1 = a

= 7/9

T13 = a + 12 d

or, 4/5 = 7/9 + 12d

or 12d = 4/5 -7/9

or, 12d = 1/45

or, d = 1/410.

then,

T7= a + 6d

= 7/9 + 1/410

= 2879/2870

Please check the answer and tell me whether it is correct or not.

A trinomial is a polynomial with three terms that has a leading coefficient of 3 and a constant term of -5 is

3m²+m-5

Here the degree of the trinomial is 2, so the leading coefficient is the coefficient of the term with m², which is 3.

The constant term is the term without a variable, which is -5

To find the coefficient of middle term of the trinomial, formula is:

coefficient of middle term =

(sum of the coefficients of the first and last terms)

                                    2

The sum of the coefficients of the first and last terms is 3 - 5 = -2.

Dividing by 2, we get -1 as the coefficient of the middle term.

Putting all of this together, we can write the trinomial as:                     3m² +m - 5

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Answer:

b is the correct answer

80r144

Step-by-step explanation:

the answer to the question is 2r-10

Answer:

"10 than 2 times a number" can also be written as 2r-10.

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

angle A = 45

Angle B = 135

Step-by-step explanation:

Let angle B be x

See the following work attached below:

Answer:

3 hours 39 minutes

Step-by-step explanation:

6 to 10 = 4 hours

35 to 14 = -21

4 x 60 = 240

240 - 21 = 219

220 to hours and minutes = 3 hours and 39 minutes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: 8

Step-by-step explanation:

Answer:

10x² + 14x - 48

Step-by-step explanation:

F: (5x)(2x) = 10x²

O: (5x)(6) = 30x

I:  (-8)(2x) = -16x

L:  (-8)(6) = -48

combine the two middle terms to get 14x

10x² + 14x - 48

Answer:

80,000+6,000+500+3

Step-by-step explanation:

Decode it

Answer:

eighty- six thousand five-hundred and three

Step-by-step explanation:

Answer:I think it would be a

Step-by-step explanation:I'm pretty sure it's a because near the origin is 0,0 but it would be a positive then a negative

Answer:

2

Step-by-step explanation:

because i am big brain

The graph depicts a linear relationship between her driving time (x variable) and the remaining distance (y variable). Knowing that this is a linear relationship, we can represent it as a equation in the slope intercept form. This is because we already have the slope as -0.9.

Therefore we would have the following;

We can now substitute the given variables into the equation in slope-intercept form as follows;

With the equation for the graph now determined, we shall find the mileage after 59 minutes of driving as follows;

ANSWER:

After 59 minutes of driving, she would have 35.6 miles remaining.

It will take 14.87 years for $100 to reach $500 when it grows at 10 percent per year.

To find out how long it will take, we can use the formula for compound interest:

A = P(1 + r)^t

Where A is the final amount, P is the principal amount, r is the interest rate, and t is the number of years.

In this case, we want to find out how long it will take for $100 to reach $500 when it grows at 10 percent per year. So we can plug in the values and solve for t:

500 = 100(1 + 0.10)^t

5 = (1.10)^t

Taking the natural logarithm of both sides:

ln(5) = t ln(1.10)

t = ln(5) / ln(1.10)

t = 14.87 years

So it will take 14.87 years for $100 to reach $500 when it grows at 10 percent per year.

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Answer: 14 Adult tickets

Step-by-step explanation:

The equation for the total number of tickets would be

x+y=18

5x+3y=82

y=18-x

5x+3(18-x)=82

2x=28

x=14

x= Number of adult tickets

The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

Answer:

b

Step-by-step explanation:

a) the rate of nonresponse for this survey is approximately 89.14%.

(a) The rate of nonresponse for this survey can be calculated by dividing the number of incomplete calls (nonresponses) by the total number of attempted calls and multiplying by 100 to express it as a percentage.

Rate of nonresponse = (Number of incomplete calls / Total number of attempted calls) * 100

In this case, the number of incomplete calls (nonresponses) is 45,956 - 5,029 = 40,927.

Rate of nonresponse = (40,927 / 45,956) * 100 ≈ 89.14%

(b) Nonresponse can lead to bias in the survey because the individuals who did not respond may have different characteristics or behaviors compared to those who did respond. This can introduce selection bias, where the sample of respondents does not accurately represent the entire population of interest.

In the given survey, if nonresponse is related to the distance people drive per day, it can result in biased estimates of the average distance. For example, if individuals who drive longer distances are less likely to respond, the survey would underestimate the average distance driven per day.

The direction of the bias in this case would be towards underestimating the average distance driven. This is because the nonrespondents, who are more likely to have longer driving distances, are not included in the survey results. As a result, the survey may not capture the full range of driving distances, leading to an underestimated average.

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The length of the diameter of a circle with endpoints at points (-2, 87) and (18, 91) is  20.4 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-2, 87) and (18, 91) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-2 - 18)² + (87 - 91)²}

d =√{400 + 16}

d = √416

d = 20.4 units

The diameter has length 20.4 units

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