The table below lists the states with the highest and with the lowest, population growth rates. Determine in how many years each event can occur. Use the model P=P₀(1+r)x , where P₀ is population from the table, as of July, 2007; x is the number of years after July, 2007, P is the projected population and r is the growth rate.


(c). Population of Nevada doubles.

The missing number is 5. The polyhedron has 5 faces.

Euler's formula for polyhedra states that the number of faces (F), edges (E), and vertices (V) of a polyhedron are related by the equation:

F + V = E + 2

In this case, we are given the number of edges (E) as 9 and the number of vertices (V) as 6.

We need to find the number of faces (F).

Using Euler's formula, we can substitute the given values:

F + 6 = 9 + 2

Simplifying the equation:

F + 6 = 11

Subtracting 6 from both sides of the equation:

F = 11 - 6

F = 5.

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Slope if distance time graph represent velocity or speed.

Yes, it can be parallel to time axis if the object is at rest position

Answer:

8%

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

Answer:

First photo:

Second photo:

Third photo:

Fourth photo:

Fifth photo:

I hope this helps!

Yes, this sample of the trees in the county likely to be representative if each forest is the same size.

Representative sample, the sample must accurately reflect the population studied in demographics and characteristics of the chosen subjects.

For example, a representative sample will reflect only those within the study population and should not extend to those outside the study. If Jose is interested in studying the exercise habits of college athletes, only the population of college athletes should be considered for the selection of a representative sample. Jose will not choose athletes from high school or career athletes as part of his representative sample.

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A histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

To study the center, shape, and spread of the data for the amount spent on rent for apartments in the Gainesville area, the student would typically create a histogram.

A histogram is a type of graph that represents the distribution of continuous data by dividing it into intervals, or bins, and displaying the frequency or count of data points falling within each interval. It provides insights into the center (central tendency), shape, and spread (dispersion) of the data.

In the student's case, the amount spent on rent for apartments would be the continuous variable, and the student would group the data into intervals (e.g., rent ranges) and count the number of apartment complexes falling within each interval.

By creating a histogram, the student can visually analyze the distribution of rent amounts, identify the most common rent ranges (mode), and observe the shape of the distribution (symmetric, skewed, etc.). The histogram can also provide insights into the spread of the data, such as the range of rent amounts and the presence of outliers.

Overall, a histogram is an effective way to present and analyze the center, shape, and spread of continuous data, allowing the student to gain a better understanding of the distribution of rent amounts in the Gainesville area.

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Answer:x=1 I, i-1

Step-by-step explanation:

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

Answer:

The twelfth term :)

hope this helps

Answer:

the twelfth term answer in edg 2021

Step-by-step explanation:

n the sequence generated by the formula an = n – 4, which term has a value of 8?

Answer:

top

Step-by-step explanation:

divide both sides by (x-h)

True, a half step is the shortest distance that can exist between two pitch-sounding frequencies. In Western musical notation, a half step is thought to be the shortest interval, or space between two notes.

The smallest musical interval typically utilized in Western tonal music is a semitone, sometimes known as a half step or a half tone. It is described as the space in a 12-tone scale between two neighbouring notes. For instance, there is a semitone's distance between C and C. Any interval in a 12-note scale that is almost evenly divided into semitones can be described in terms of the proper number of semitones, for example, a whole tone or major second is two semitones wide, a major third is four semitones wide, and a perfect fifth is seven semitones wide.

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Answer:

0.03×10= 10

This is easy why do u need it

The probability of a standard normal random variable falling between -1.83 and -0.08 is  P(-1.83 < z < -0.08) = 0.4629
2) P(z > 2.08) = 0.0188
3) c = 1.90
4) c = 0.35
5) c ≈ 2.58

1. To find the probability of a standard normal random variable falling between -1.83 and -0.08, we calculate P(-1.83 < z < -0.08) using the standard normal distribution table or a calculator.
2. To find the probability of a standard normal random variable being greater than 2.08, we calculate P(z > 2.08) using the standard normal distribution table or a calculator.
3. To determine the value of c such that P(z > c) = 0.4868, we locate the z-score corresponding to the probability 0.4868 using the standard normal distribution table or a calculator.
4. To find the value of c such that P(z < c) = 0.6325, we locate the z-score corresponding to the probability 0.6325 using the standard normal distribution table or a calculator.
5. To determine the value of c such that P(z > c) = 0.0053, we locate the z-score corresponding to the probability 0.0053 using the standard normal distribution table or a calculator.

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Answer:

2x3+9x2+8x+4x2+18x+16

2x3+13x2+26x+16

The option (a) is correct answer which is the Fourier-Legendre expansion of the given function is 55/112

The Fourier-Legendre expansion of the function f(x) = x¹⁰ on [-1, 1] is given by

\(\[f(x) = \sum_{n = 0}^\infty {c_n}{P_n}(x)\].\)

Therefore, we need to find the coefficient c₂ which is given by

\(\[c_n = \frac{{2n + 1}}{2}\int_{ - 1}^1 {{P_n}(x)f(x)dx}\].\)

Let us find the coefficient c₂; so,

\(n = 2 \[c_2 = \frac{{2 \cdot 2 + 1}}{2}\int_{ - 1}^1 {{P_2}(x){x^{10}}dx} = 5\int_{ - 1}^1 {{P_2}(x){x^{10}}dx}\]\)

The first few Legendre polynomials are:

\(\[{P_0}(x) = 1\]\[{P_1}(x) = x\]\[{P_2}(x) = \frac{1}{2}(3{x^2} - 1)\]\[{P_3}(x) = \frac{1}{2}(5{x^3} - 3x)\]\)

Using the third Legendre polynomial

\(\[{P_2}(x) = \frac{1}{2}(3{x^2} - 1)\],\)

we can write,

\(\[c_2 = \frac{5}{2}\int_{ - 1}^1 {\left( {\frac{1}{2}(3{x^2} - 1)} \right){x^{10}}dx} \]\[ = \frac{5}{2}\left[ {\frac{3}{{13}}{x^{13}} - \frac{1}{11}{x^{11}}} \right]_{ - 1}^1 = \frac{5}{2}\left[ {\frac{3}{{13}} - \frac{1}{11} - \left( { - \frac{3}{{13}} + \frac{1}{11}} \right)} \right]\]\[ = \frac{5}{2}\left[ {\frac{3}{{13}} - \frac{1}{11} + \frac{3}{{13}} - \frac{1}{11}} \right] = \frac{{55}}{{112}}\]\)

Therefore, the answer is option a) 55/112.

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Complete question is,

If J₅(4) = aJ₂​(4) + bJ₃​(4), where J is the Bessel's function of the first kind, then a = a) 17 b) 2 c) 13 d) 21 e) -2

The Fourier-Legendre expansion of f(x) = x¹⁰ on [−1,1] is ∑n=0∞​cn​ Pn​(x). Then c₂ = a) 45/112 b) 35/97 c) 35/87 d) 50/143 e) 40/99 f) 55/112

The total number of red cars is 34, the total number of blue cars is 36, and the total number of silver cars is 70.

The ratio problems can be solved as follows:

11. The total number of red cars can be calculated as follows:

Number of red car in the first car park = (1 / (1 + 2 + 3)) * 60 = 10

Number of red car in the second car park = (3 / (2 + 3 + 5)) * 80 = 24

Total number of red cars = 10 + 24 = 34

12. The total number of blue cars can be calculated as follows:

Number of blue car in the first car park = (2 / (1 + 2 + 3)) * 60 = 20

Number of blue car in the second car park = (2 / (2 + 3 + 5)) * 80 = 16

Total number of blue cars = 20 + 16 = 36

13.  The total number of silver cars can be calculated as follows:

Number of silver car in the first car park = (3 / (1 + 2 + 3)) * 60 = 30

Number of silver car in the second car park = (5 / (2 + 3 + 5)) * 80 = 40

Total number of silver cars = 30 + 40 = 70

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Answer:

x = - 5, x = 3

Step-by-step explanation:

Given

x² + 2x - 15 = 0

Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (+ 2)

The factors are + 5 and - 3 , since

5 × - 3 = - 15 and 5 - 3 = + 2, so

x² + 2x - 15 = 0

(x + 5)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

Answer:

21100 minutes or about 351.67 hours

Step-by-step explanation:

First find out how many $10 is in $42200 by dividing. The answer is 4220

This means there is 4220 5 minutes. Multiply to get 21100.

It takes 21100 minutes or about 351.67 hours to get 42200 dollars.

there is a formula A = 2π r h + 2π r².

=> h = (A - 2π r²) / 2π r

=> h = ( 616 - 2π(7)^2) / 2π(7)

=> h = 7.0

Hope you could understand.

If you have any query, feel free to ask.

Answer:

25 hours per week

Step-by-step explanation:

Step one:

given data

Suri makes $15 per hour and gets a weekly bonus of $25

Juan makes $14 per hour and gets a weekly bonus of $50.

Let the number of hours worked be x

and let the total earned be y

For Surl

The expression for the total is

y= 25+15x-----------1

For Juan

The expression for the total is

y= 50+14x-----------2

Step two:

Equate the two expressions we have

25+15x=50+14x

collect like terms we have

25-50= 14x-15x

-25= -x

x= 25

Yes its is possible that they earned the same amount if they work for 25 hours

Answer: A

because It has 1 one 2 twos 3 threes 2 fours 1 five And 1 six

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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Answer:

-3/8

Step-by-step explanation:

You can enter this into a calculator and have it to display the fraction, but if you need the math, see image below.

Answer:

−3/8

Step-by-step explanation:

-0.375

Rewrite the decimal number as a fraction with 1 in the denominator.

0.375=0.375/1

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000.

0.375/1×1000/1000=375/1000

Find the Greatest Common Factor (GCF) of 375 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125.

375/1000÷125/125=3/8

Therefore...

-0.375=−3/8

Hope this helps :)

Using matrix operations, the solution to the given system of equations 300x - y = 130 200x + y = 120 is x = 0.5 and y = 170.

To solve the system of equations using a matrix, we can represent the system in augmented matrix form [A|B], where A is the coefficient matrix, B is the constant matrix, and | represents the augmentation. The augmented matrix for the given system is:

[300 -1 | 130]

[200 1 | 120]

We can perform row operations to transform the augmented matrix into row-echelon form or reduced row-echelon form. Let's use the Gauss-Jordan elimination method to solve the system.

First, we can multiply the second row by 3 to make the coefficients of y in both equations opposites:

[300 -1 | 130]

[600 3 | 360]

Next, we can subtract the second row from the first row:

[300 -1 | 130]

[0 -4 | -230]

Now, we can divide the second row by -4 to get a leading coefficient of 1:

[300 -1 | 130]

[0 1 | 57.5]

Next, we can add the first row to the second row:

[300 -1 | 130]

[300 0 | 187.5]

Now, we have a row-echelon form. We can solve for x and y by performing back substitution. From the second row, we can see that y = 57.5. Plugging this value back into the first row, we can solve for x:

300x - 1(57.5) = 130

300x = 130 + 57.5

300x = 187.5

x = 187.5 / 300

x = 0.625

Therefore, the solution to the system of equations is x = 0.5 and y = 170.

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Answer:

128π²

Step-by-step explanation:

The equation for a cylinders volume is V=πr²h

So that means that we square r which is 4, we get 16. Then we multiply 16 by the height which is 8. This gives us 128. The last step is to multiply by pi so we get 128π.