5(3q-1)5q+15

Please answer be fast

Answer:

a)1

b)3

c)0

d)2

Step-by-step explanation:

to find the degree of the polynomial just look at the exponents. The highest exponent you see is the answer. For polynomials with variable but no exponents (like in a) the degree is technically 1 for that expression. if there is just a digit with no exponent (like in c) then the degree is 0

Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.

To find the probability of the event, we need to use the formula for the probability of an event, which is:

P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.

There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.

Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)

Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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Answer:

Door 2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

door 2

After 6 years, there will be 23,200 people living there.

A town has 17,000 residents and is expanding at a 3% annual rate.

What is the explanation?

Population after t years equals y(t).

y(t)=y0(1+r)^t

y0 = initial population,

r = growth rate, and

t = time.

A town has 17,000 residents and is expanding at a 3% annual rate.

y(t)= 23,200, = 17,000, r=3%= 0.03, t=

23,200 = 17,000(1+0.03)^t

23200/17000 = (1+0.03)^t

taking both sides of the ln function

(23200/17000)/1.03

⇒ t = 6 year.

After 6 years, there will be 23,200 people living there.

We find the difference (subtract) between the original population and the population at Time 1, divide by the initial population, then multiply by 100 to obtain the Population Growth (PG). For that time (10 years), the population growth rate (PGR) was 12%.

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Answer:

x = 1/2

Step-by-step explanation:

4x = 2

Divide each side by 4

4x/4 = 2/4

x = 2/4

Simplify

x = 1/2

Answer:x=1/2

Step-by-step explanation: Divide both sides of the equation by the same term.LAstly simplify 2/4 to 1/2.

Look at pic to see how solved.

Answer:

1.) C. - 1/125

2.) B. - -3x-4

3.) A. - 3^-12

4.) C. - 7^8

5.) D. - 8^5

6.) A.  - 9x8x4

7.) B. - 2x5/7x5 or A It's Almost the Same But I couldn't find the exact difference so Sorry.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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price per house : $250,000

number of houses: 9

To find how much he will earn (y) we have to multiply the price per house by the number of houses (x).

y = 250,000 x

Where x is the independent variable (number of houses) and y is the dependent variable (earnings)

Replacing x by the number of houses:

y = 250,000 ( 9) = $2,250,000

(a) The estimated mixing time when the viscosity is approximately that of water and the stirrer is operated at a constant speed of 90 rpm is approximately 10.48 seconds.

(b) (i) To achieve turbulence when the viscosity reaches a value of 1000 times greater than water, a stirrer speed of approximately 528.67 rpm is required.

(ii) The power required to achieve turbulence is approximately 35.14 kW.

(iii) The power per unit volume required for turbulence is approximately 1.95 W/m^3.

(a) The mixing time when the viscosity is approximately that of water, assuming a constant stirrer speed of 90 rpm, can be estimated using the following steps:

⇒ Calculate the impeller Reynolds number (Re):

  Re = (N′P / k1) × (N / N1)^2

  We have,

  N′P = 5.0 (power number)

  k1 = 70 (proportionality constant)

  N = 90 rpm (stirrer speed)

  N1 = 1 (reference stirrer speed)

  Plugging in the values:

  Re = (5.0 / 70) × (90 / 1)^2

     ≈ 910.71

⇒ Calculate the mixing time (tm):

  tm = (0.08 × ρ × D^2) / (μ × N′P × Re)

  We have,

  ρ = 1 g/cm^3 (density of the fluid)

  D = 3 m (diameter of the tank)

  μ ≈ 0.001 Pa·s (viscosity of water at room temperature)

  Plugging in the values:

  tm = (0.08 × 1 × 3^2) / (0.001 × 5.0 × 910.71)

     ≈ 10.48 seconds

Therefore, the estimated mixing time when the viscosity is approximately that of water is approximately 10.48 seconds.

(b) (i) To achieve turbulence when the viscosity reaches a value of 1000 times greater than water, the stirrer speed required can be estimated by equating the impeller Reynolds number (Re) to the critical Reynolds number (Recr) for transition to turbulence. The critical Reynolds number for this system is typically around 10^5.

  Recr = 10^5

  Setting Recr equal to the Re equation from part (a):

  10^5 = (5.0 / 70) × (N / 1)^2

  Solving for N:

  N = √((10^5 × k1 × N1^2) / N′P)

    = √((10^5 × 70 × 1^2) / 5.0)

    ≈ 528.67 rpm

  Therefore, a stirrer speed of approximately 528.67 rpm is required to achieve turbulence.

(ii) The power required to achieve turbulence can be estimated using the following equation:

  P = N′P × ρ × N^3 × D^5

  We have,

  N′P = 5.0 (power number)

  ρ = 1 g/cm^3 (density of the fluid)

  N = 528.67 rpm (stirrer speed)

  D = 3 m (diameter of the tank)

  Plugging in the values:

  P = 5.0 × 1 × (528.67 / 60)^3 × 3^5

    ≈ 35141.45 watts

  Therefore, the power required to achieve turbulence is approximately 35.14 kW.

(iii) The power per unit volume required for turbulence can be calculated by dividing the power by the tank volume (V):

  P/V = P / (π/4 × D^2 × H)

  We have,

  P = 35.14 kW (power required)

  D = 3 m (diameter of the tank)

  H = 3 m (liquid height)

  Plugging in the values:

  P/V = 35.14 × 10^3 / (π/4 × 3^2 × 3)

       ≈ 1.95 W/m^3

The power per unit volume required for turbulence is approximately 1.95 W/m^3.

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Answer:

- 473

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 7 = - 3 - 2 = - 8 - (- 3) = - 13 - (- 8) = - 18 - (- 13) = - 5

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = - 5, thus

\(a_{97}\) = 7 + (96 × - 5) = 7 - 480 = - 473

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

The total fluid intake for the meal is 493.055 mL

Converting:

1/3 glass of orange juice

= (1/3) x 8 oz = 2.67 oz

= 79.027 mL (rounded to 3 decimal places)

1/2 cup of tea

= (1/2) x 6 oz

= 3 oz = 88.720 mL (rounded to 3 decimal places)

1/2 pint of milk

= (1/2) x 16 oz

= 8 oz = 236.588 mL (rounded to 3 decimal places)

1 tuna fish sandwich = no fluid intake

1 popsicle (3oz)

= 3 oz

= 88.720 mL (rounded to 3 decimal places)

Total fluid intake

= 79.027 mL + 88.720 mL + 236.588 mL + 0 mL + 88.720 mL

= 493.055 mL (rounded to 3 decimal places)

Therefore, the total fluid intake for the meal is 493.055 mL.

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Answer:

Step-by-step explanation:

Total cost is $26 add x-pieces each $1.50:

Answer:

required Value of x is x=8

Step-by-step explanation:

We are given two points: (5,8) and (x,14) and slope =2 . We need to find value of x.

The formula used to find slope is: \(Slope=\frac{y_2-y_1}{x_2-x_1}\)

We are given slope =2 , x₁=5, y₁=8, x₂=x, y₂=14

So, we actually need to find value of x₂. Putting values in formula and find value of x

\(Slope=\frac{y_2-y_1}{x_2-x_1}\\2=\frac{14-8}{x-5}\\Solving:\\2(x-5)=6\\2x-10=6\\2x=6+10\\2x=16\\x=\frac{16}{2}\\x=8\)

So, required value of x=8

Answer:

7 x > 4 x + 100

7 x - 4 x > 100

3 x > 100

x > 100 : 3

x > 33.33

Answer: they have to sell 34 pizzas to make a profit.

Step-by-step explanation:

Answer:

He can put 7 cars together in 245,157 ways.

Step-by-step explanation:

The order in which the cars are put together is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

23 distinct train cars. How many ways can he put 7 cars together?

Combinations of 7 from a set of 23. So

\(C_{23,7} = \frac{23!}{7!(23-7)!} = \frac{23!}{7!16!} = 245157\)

He can put 7 cars together in 245,157 ways.

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

ABCD IS A RECTANGLE OKK THANKS

Answer:

Domain: (-2,2]

Range: (-2, 1]

Yes, it is a function.

Step-by-step explanation:

Hope this helps:)

Tell me if you need an explanation.

Answer:

$3.20 for the small and $4.70 for the large packages.

Step-by-step explanation:

multiply 3.20 by 1 since that is the price of mailing a small package and you want to mail 1.

multiply 4.70 by 4 since that is the price of a large one and you want to mail 4.

3.20 x 1 =3.20

4.70 x 4=18.80

Less generous, means that the value is less than 9:1 or 9/1

for the other values we have

now, let's find the values that are less than 9

4 < 9

2 < 9

then, the odds that are less generous are

Answer:

D

Step-by-step explanation:

D

D

D

D

D

D

D

Answer:

D

Step-by-step explanation:

The probability that they all have different birthdays is 0.903 or 90.3%.

1. Calculate the number of days in a year.

There are 365 days in a year.

2. Calculate the number of possible combinations for 3 people.

There are 365 x 365 x 365 = 4,738,625 possible combinations for 3 people.

3. Calculate the number of combinations where all 3 people have different birthdays.

There are 365 x 364 x 363 = 4,324,320 combinations where all 3 people have different birthdays.

4. Calculate the probability.

The probability that they all have different birthdays is 4,324,320 / 4,738,625 = 0.903 or 90.3%.

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The 95% confidence interval for the population mean weekday sleep time of all adult residents in the Midwestern town is approximately 6.00 to 6.80 hours.

Confidence Interval = x ± Z * (σ/√n)

Substituting the given values into the formula, we get:

Confidence Interval = 6.4 ± 1.96 * (1.8/√80)

Calculating the standard error (σ/√n):

Standard Error = 1.8/√80 ≈ 0.2015

Substituting the standard error into the formula, we have:

Confidence Interval = 6.4 ± 1.96 * 0.2015

Confidence Interval = 6.4 ± 0.3951

Lower limit = 6.4 - 0.3951 ≈ 6.00

Upper limit = 6.4 + 0.3951 ≈ 6.80

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A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours. (You may find it useful to reference the table.)

Calculate the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town. (Round final answers to 2 decimal places.)

The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.

First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."

\(-2^{(3/2)^2}\) = (-2)² × (2/3)²

Now, we can simplify the expression  further by solving the exponent of (-2)² and (2/3)²:

(-2)² × (2/3)² = 4 × 4/9 = 16/9

Therefore, the value of the given expression \(-2^{(3/2)^2}\\\)  is 16/9.

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The question is :

What is the value of the expression \(-2^{(3/2)^2}\) ?

The correct option is B.

The symbolic statement (p ∨ q) ∧ ~r represents "The chair is broken or it is time to sleep, and I do not study".

The statement (p ∨ q) ∧ ~r can be broken down as follows:

p ∨ q represents "The chair is broken or it is time to sleep".~r represents "I do not study".

The ∧ symbol represents "and".Therefore, the entire statement can be written as "The chair is broken or it is time to sleep, and I do not study"."It is time to sleep or the chair is broken and I do not study".

Hence the correct option is B.

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Answer: #1

Step-by-step explanation: if you look closely at the purple line you will see it falls into (y <3) and yeah