Ariella played a song on the piano that was 1/3 minute long.Johnny played a song on the trumpet that was 4 times long than the song that Ariella played on the piano.How long was the song that Jonny played?

The annual percent birth rate is 0.576% of the population.

The total number of population in the city in that particular month is given by = 2,500,000

And given the number of babies born in that month in that city is given by = 1200.

If we consider the rate of new born is same then the number of new born babies in that city in that year is = 1200*12 = 14400

Fraction of number of new born babies to the total population of that city in that year is = 14400/2500000 = 18/3125

Thus the percentage of the number of new born babies to the total population of that city in that year is = (18/3125) * 100% = 0.576%.

Hence the annual percent birth rate is 0.576% of the population.

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:  The correct answer is 2x and yes, you stop at the simplest term(s).

Step-by-step explanation:

Distribute:

=(1/4)(8x)+(1/4)(−12)+3

=2x+−3+3

Combine Like Terms:

=2x+−3+3

=(2x)+(−3+3)

=2x

Answer:

The 15th term is 103

Step-by-step explanation:

Arithmetic Sequence

An arithmetic sequence is a list of numbers with a definite pattern by which each term is found by adding or subtracting a fixed quantity to the previous term. If n is the number of the term, then:

\(a_n=a_{n-1}+d\)

Where d is called the common difference. If we know the first term, the nth term is calculated by:

\(a_n=a_1+(n-1)*d\)

The question asks us to find the term n=15 of an arithmetic sequence with a common difference d=7 and first term a1=5.

Applying the formula above:

\(a_{15}=5+(15-1)*7\)

\(a_{15}=5+14*7\)

\(a_{15}=5+98=103\)

The 15th term is 103

Answer:

Answer:

In my country it's 6:30am

Sorry

want to come up down to gotta amen Cheech jjk

Answer: B

Step-by-step explanation:

1) y-5- -5 (x+8)

2) y-5= -5x-40 (use distributive property to multiply -5 by x and 8)

3) you will find your slope just by distributing (-5x-40), no need to say the new equation, but if you would like to know the new equation if you were to solve all this... it is y=-5x-35

Hope this helped. Adiós (Bye)

Andy made a deposit to his checking account and received $50 in cash. His deposit slip shows a total deposit of $500. If he deposits checks worth 4 times the value of the currency deposited, we need to find the amount he deposited in currency and checks.

Let's denote the amount deposited in currency as "C" dollars. According to the information given, Andy received $50 in cash, so we have:

C + $50 = $500

Simplifying the equation, we find:

C = $500 - $50

C = $450

Now, we need to find the amount deposited in checks, denoted as "X" dollars. The checks are worth 4 times the value of the currency deposited, so we have:

X = 4 * C

X = 4 * $450

X = $1800

Therefore, Andy deposited $450 in currency and $1800 in checks, resulting in a total deposit of $500.

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suppose the average number of hours worked per week for high-school aged teens in the united states is 17 hours per week with a standard deviation of 4 hours. So, the number of people selected from the public for a research is known as a sample.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.

For the given details the correct matching will be:

Parameter - 17 hrs per week

Population - All high-school-aged teens in the US

Statistic - 14.4 hours per week

Sample - 15 students

Population is everything that is taken into account for an experiment since parameters reflect population characteristics and statistics state sample parameters.

The number of people selected from the public for a research is known as a sample.

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Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

The area is covered with 1.4 gallons of water per square foot, approximately 5388.9 gallons of water were used.

We use the formula for the area of a circle: A = πr².

The radius can be determined by dividing the diameter, which is 70 feet, by 2. Therefore, r = 35 feet.

To find the area of the circle, substitute the value of r into the formula for the area of a circle: A = πr².
A = πr²
A = π(35)²
A = 3.14 × 1225
A = 3842.5 square feet
We know that this area is covered with 1.4 gallons of water per square foot, so we can multiply the area of the circle by 1.4 to get the total gallons of water used:

Total gallons of water used = A * 1.4
1.4 × 3842.5 ⇒ 5,379.5 gallons.

Therefore, the total gallons of water used is 5,379.5 gallons.

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Answer:

radius = 8

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 64 ← is in this form

with r = \(\sqrt{64}\) = 8

In a report of a quantitative research study, a nurse would expect to find the gaps or conflicts about the phenomenon being studied to be identified in: D. Review of the literature.

A research report can be defined as a publication that is used by a researcher to provide data about a research work after analyzing the information gathered on a particular subject, especially in a summarized or condensed format..

In Science, there are three main types of research report and these include the following:

A review of the literature is also referred to as literature review and it is typically used by a researcher to describe what's known and what isn't known about a phenomenon that is being studied.

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Complete Question:

Where in a report of a quantitative research study would a nurse researcher expect the gaps or conflicts about the phenomenon studied to be identified?

a. Analysis of data

b. Research design

c. Problem statement

d. Review of the literature

Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.

So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)

Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51

Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.

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The characteristic displayed by the graph by virtue of the number of turning points and end behaviour is; Odd function.

It follows from the task content that the characteristic displayed by the graph is to be determined.

By observation, first, the graph has a odd number of zeroes and also has 2 turning points; it most likely indicates that the graph is of degree 3 and it's end behaviours suggest an odd function.

On this note, it can be inferred that the given graoh is an odd function.

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The equation can be written as 6 + (-6y) = -6y - 1 + (7).

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given is an equation with missing parts.

The left hand side of the equation does not contain a term with variable, but the right hand side contains it.

Adding that term in the left hand side, we get, 6 + (-6y) in the left hand side.

So the right hand side must be equal.

So the expression in the right hand side is -6y - 1 + (7).

Hence the expressions are 6 + (-6y) on the left hand side and  -6y - 1 + (7) on the right hand side.

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Step-by-step explanation:

hope helps you

have a good day

Answer:

Hold on let me seee!!!!!!!

Answer:

A=-2; B=-1

Step-by-step explanation:

3a - 2b + 4 =0

2a -5b -1 = 0

Let's multiple the top equation by 2, and the bottom by -3, and then use addition.

[3a - 2b + 4 =0]*2

[2a -5b -1 = 0]*(-3)

6a-4b+8=0

-6a+15b+3=0

Now add the two equations together:

11b + 11 = 0

Subtract 11 from both sides

11b = -11

Divide both sides by 11

b=-1

Substitute in the first equation:

3a - 2(-1) + 4 = 0

Simplify to get 3a+6 = 0

Subtract 6 from both sides to get 3a = -6

Divide both sides by 3 to get a=-2

To find the relative extrema and saddle points of the function g(x, y) = x² - y² - 5x - 8y, we need to calculate the first and second partial derivatives and use the Second Partials Test.

The first partial derivatives will help identify critical points, and the second partial derivatives will determine the nature of those points as relative extrema or saddle points. The correct answers for relative extrema and saddle points are provided in the following paragraphs.

Let's start by finding the first partial derivatives of g(x, y):

∂g/∂x = 2x - 5,

∂g/∂y = -2y - 8.

To find the critical points, we set both partial derivatives equal to zero and solve for x and y:

2x - 5 = 0, which gives x = 5/2,

-2y - 8 = 0, which gives y = -4.

So the only critical point is (5/2, -4).

Now, let's calculate the second partial derivatives:

∂²g/∂x² = 2,

∂²g/∂y² = -2.

To determine the nature of the critical point, we evaluate the second partial derivatives at (5/2, -4):

∂²g/∂x² = 2 > 0, which indicates a local minimum or maximum.

∂²g/∂y² = -2 < 0, which indicates a saddle point.

Since the second partial derivatives have different signs, the critical point (5/2, -4) is a saddle point.

Therefore, the answers are:

A. Relative minimum: DNE.

B. Relative maximum: DNE.

C. Saddle point: (5/2, -4).

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In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Using equation 0.3, to obtain a straight-line relationship from which the value of k can be determined, you can plot the natural logarithm (ln) of the content loaded against time. By doing this, you will get a linear graph where the slope represents the rate constant (k).
Equation 0.3 refers to the exponential decay equation, which can be used to model a process in which a quantity decreases exponentially over time. To obtain a straight-line relationship from this equation, we can take the natural logarithm of both sides:

ln(y) = ln(y0) - kt

where y is the quantity at time t, y0 is the initial quantity, k is the decay constant, and ln denotes the natural logarithm. If we plot ln(y) versus t, we will obtain a straight line with slope -k and y-intercept ln(y0).

To obtain the value of k from this line fit, we can use the slope formula:

k = -slope

Therefore, the value of k is simply the negative of the slope of the line fit. This means that the larger the slope (i.e. the steeper the line), the faster the decay process. Conversely, a smaller slope indicates a slower decay process.

In summary, if we have content loaded using equation 0.3, we can plot ln(y) versus t to obtain a straight-line relationship from which the value of k can be obtained. The value of k is related to the resulting parameters of the line fit through the slope of the line, which is simply the negative of k.

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Answer:

Step-by-step explanation:

We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.

1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.

2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.

Answer: the rule is 4

Step-by-step explanation:32+4=36 and so on into the pattern.

The pattern appears to be an arithmetic sequence with a common difference of 4.

To generate the sequence, you start with the first number, which is 32, and then add 4 to get the next number, which is 36. Then, you add 4 again to get the third number, which is 40, and so on. Therefore, the next number in the sequence would be 48, obtained by adding 4 to the last number, which is 44.

So the complete sequence would be:

32, 36, 40, 44, 48, ...

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