Find the next term in each sequence.
Question 1:
0, 1, 3, 7, ? .
Question 2:
35, 33, 29, 21, ?.
Please Include an Explanation of how to solve problems like this!
Thanks a ton!

Answer:

15

Step-by-step explanation:

To find the y intercept set x=0

You are given two points: (7,-6)(-4,27)

y=mx+b

y2-y1=x2-x1

x1=7

y1=-6

x2=-4

y2=27

27-(-6)/-4-7=27+6/-4-7=33/-11=-3

y=-3x+b

-6=-3(7)+b

-6=-21+b

+21 +21

b=15 so, y=-3x+15

PLUG IN O TO THAT EQUATION

y=-3(0)+15

Your y intercept would be 15

The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.

To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).

Using the slope formula: m = (y2 - y1) / (x2 - x1)

Substituting the values (0 - 5) / (3 - 0) = -5 / 3

So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).

Using the point (0, 5):

5 = (-5/3) * 0 + b

5 = b

The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:

y = (-5/3)x + 5

To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.

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Answer:

real n1qa

Step-by-step explanation:

real n1qa i dont know the question but hello mate u a real n1qa

The missing percentages are fractions are i) 4/10, 40% ii) 7/10 and iii) 90%

Percentage means anything which is measured per hundredth, To change the percentage to a fraction, just put the percentage number in the numerator and 100 in the denominator.

One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity percentage.

Percent is from the Latin adverbial phrase per centum, meaning “by the hundred.”

Given is scale, having some missing measure,

Since, the scale is being divided into 10 equal parts, therefore each part is a part of 10 parts.

i) 4th part = 4/10

% = 4/10x100 = 40%

ii) 7th part = 7/10

iii) 9th part

% = 9/10x100 = 90%

Hence, the answers are 4/10, 40%, 7/10 and 90%

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Answer:

For A it's 13 degrees C. For B it is 15 degrees.

Step-by-step explanation:

Adding positive numbers to a negative number can be put like this:

ex--- -5+9. You have -5 and +9. What you do is flip it around. +9-5 is 4. So. -2+15=+15-2=13.

For B:

from 6 to 0 is 6, and from 0 to 9 is 9. 6+9=15. There's your answers.

Hope it helped!

Answer:

Step-by-step explanation:

You can see by the markings that ST is congruent to AY, and that TA is congruent to YS. Those are 2 sides, so so far we have SS. One important thing that comes up WAY TOO OFTEN IN GEOMETRY TO IGNORE is the fact that both of those triangles share the side SA. This is called the reflexive property. The theorem for congruency between these 2 triangles is SSS.

Answer:

x=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−7−2x=−10

Step 1: Simplify both sides of the equation.

5x−7−2x=−10

5x+−7+−2x=−10

(5x+−2x)+(−7)=−10(Combine Like Terms)

3x+−7=−10

3x−7=−10

Step 2: Add 7 to both sides.

3x−7+7=−10+7

3x=−3

Step 3: Divide both sides by 3.

3x

3

=

−3

3

x=−1

The hydrogen emission spectrum provides strong evidence for energy levels in atoms.

The hydrogen emission spectrum refers to the set of wavelengths of light emitted by hydrogen atoms when excited by energy. These wavelengths are discrete and can be precisely measured. The unique set of wavelengths emitted by hydrogen can be explained by the Bohr model of the atom.

According to the Bohr model, the electrons in an atom occupy specific energy levels or shells. When an electron absorbs energy, it jumps to a higher energy level, or excited state. As it returns to its original energy level, it emits the excess energy in the form of light or radiation. The energy of the emitted light is directly related to the energy difference between the two levels.

The emission spectrum of hydrogen consists of several distinct lines of different wavelengths, each corresponding to the transition of an electron from a higher energy level to a lower energy level. The wavelengths of these lines are given by:

λ = R(1/n₁² - 1/n₂²)

where λ is the wavelength of the emitted light, R is the Rydberg constant (a physical constant), n₁ is the initial energy level, and n₂ is the final energy level.

This equation shows that the wavelengths of the emitted light are directly related to the energy difference between the two energy levels. Therefore, the hydrogen emission spectrum provides strong evidence for the existence of quantized energy levels in atoms.

In conclusion, the discrete wavelengths of light emitted by hydrogen can be explained by the quantized energy levels predicted by the Bohr model. This fundamental concept of quantization has far-reaching implications in modern physics, and its understanding is crucial in many areas of science and technology.

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Answer:

Option C

Step-by-step explanation:

I am going to assume that one doesn't know what an inconsistent or consistent system of equations is, let alone what a dependent and independent system of equation is. Well an inconsistent system is one that have no solutions, while a consistent system of equations has solutions. A consistent dependent system has infinite solutions, while a consistent independent system has 1 solution.

_______________________________________________________

This system of equations has one solution, as the slopes are not the same nor a multiple of one another ( no solution ) , and the equations are not the same either, nor a multiple of one another ( infinite solutions ). Thus, the system of equations is consistent, independent - Option C

I hope that clarified any questions that you had, as the answer was not Option D!

Answer:

no

Step-by-step explanation:

Answer:

Pls take a clearer picture or type down the values pls. Is angle D=6x+3 or something else?

Answer:

3/20

Step-by-step explanation:

15 cents is 15/100. Just simplify the fraction :3

Answer:

I guess 3/20 not sure

I am really sorry If I got the answer wrong

Answer:

it's a negative number. the answer would be

Step-by-step explanation:

-12

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

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F; T; T; T; F; T; F; F;T; T. The rate of exchange between certain future dollars and current dollars is known as the forward exchange rate, not the pure rate of interest.

This statement accurately describes the concept of an investment, including the factors that compensate the investor. A dollar received today is worth more than the same dollar received in the future due to the time value of money. The three components mentioned (nominal interest rate, inflation premium, and risk premium) are indeed the components of the required rate of return. Financial intermediaries are not specifically related to primary capital markets. They facilitate transactions between savers and borrowers but may operate in various markets. Diversification with foreign securities can indeed help reduce portfolio risk by spreading exposure to different markets.

The total domestic return on German bonds is not the return experienced by a U.S. investor, as it would include exchange rate effects. A negative exchange rate effect for Japanese bonds would mean that the domestic rate of return is lower than the U.S. dollar return, not greater. The gifting phase and the spending phase can indeed be concurrent, such as when gifts are given for specific expenses. Long-term, high-priority goals often include working towards financial independence as a key objective.

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Answer:

The value of \(f(2) - g(7)=-58\)

Step-by-step explanation:

We have

\(f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58\)

This void method calculates and displays each column total of a two-dimensional int array of unknown dimensions. It includes labels starting with Col 1, Col 2, etc.

This Java code snippet demonstrates how to create a void method that calculates and displays the total of each column in a two-dimensional int array of unknown dimensions. It includes labels starting with Col 1, Col 2, etc. The method takes a two-dimensional int array as its sole parameter. The method then calculates the sum of each column of the array, starting with column 1. The calculation is carried out using a nested for loop. The outer loop iterates through each column of the array while the inner loop sums the values in each row of the current column.```java
public static void displayColumnTotal(int[][] array) {
   int colCount = array[0].length;

   for (int col = 0; col < colCount; col++) {
       int colTotal = 0;

       for (int row = 0; row < array.length; row++) {
           colTotal += array[row][col];
       }

       System.out.println("Col " + (col + 1) + " total: " + colTotal);
   }
}
```The code defines a variable col Count to store the number of columns in the array. The outer for loop iterates through each column of the array, using col Count to determine when to stop. The inner for loop sums the values in each row of the current column and stores the result in col Total. Finally, the column total is displayed along with its label, Col n total, where n is the column number (starting with 1 instead of 0).

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Step-by-step explanation:

\(

\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312

\)

Hope it will help :)❤

Answer:

√{312×312}=√312²=±312 is your answer

Given:

The total investment = $36000.

The interest rate of the first investment = 8%.

The interest rate of the second investment = 6%.

The interest rate of the third investment = 9%.

The total interest = $ 2820.

The interest from the first investment was 3 times the interest from the second.

Required:

We need to find the amounts of the three parts of the investment.

Explanation:

Let x, y, and z be the amounts of the three parts of the investment.

The total investment = $36000.

The total interest = $ 2820.

The interest from the first investment was 3 times the interest from the second.

Divide both sides by 0.08.

Divide both sides by 0.09.

Divide both sides by 0.58.

Final answer:

The first part of the investment was $ 18103.46.

The second part of the investment was $ 8045.98.

The third part of the investment was $ 9850.56

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Answer:

Step-by-step explanation:

the reason the questions may not be making sense to you is that there is a mistake in the written question they say 2 and 6  but meant 20 and 60.... and if that was the question the f(x) = 11x + 1 best describes that

Answer:

y=3

Step-by-step explanation:

hope i help youuuuu :)

The number -14/11 belongs to the set of rational numbers.

The set of rational numbers includes all numbers that can be expressed as a fraction, where the numerator and denominator are integers. In this case, the number -14/11 can be written as a fraction with -14 as the numerator and 11 as the denominator. Since both -14 and 11 are integers, -14/11 is a rational number. Rational numbers can be positive or negative and can include whole numbers, integers, and fractions. It's important to note that not all numbers belong to the set of rational numbers. For example, irrational numbers such as the square root of 2 or pi cannot be expressed as fractions. However, in the case of -14/11, it can be expressed as a fraction, making it a rational number.

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Answer:

34.78

Step-by-step explanation:

8/23

The given equations are called the binomial expansions of (a+b) raised to the power 2 and 3, respectively. The first equation represents the square of a sum of two terms (a and b), and the second equation represents the cube of a sum of two terms (a and b). The coefficients of the expanded terms follow the pattern of Pascal's Triangle, where the nth term in the expansion of (a+b)n is given by the binomial coefficient nCk, where k is the index of the term. This pattern allows for easy calculation of the terms in the expansion without having to multiply out each individual term.

The binomial expansion formula for (a+b)n is given by:

(a+b)n = nC0*a^n*b^0 + nC1*a^(n-1)*b^1 + nC2*a^(n-2)*b^2 + ... + nCn*a^0*b^n

where nCk is the binomial coefficient, given by:

nCk = n!/(k!*(n-k)!)

In the case of (a+b) raised to the power 2, we have n=2, and thus:

(a+b)2 = 2C0*a^2*b^0 + 2C1*a^1*b^1 + 2C2*a^0*b^2
     = a^2 + 2ab + b^2

In the case of (a+b) raised to the power 3, we have n=3, and thus:

(a+b)3 = 3C0*a^3*b^0 + 3C1*a^2*b^1 + 3C2*a^1*b^2 + 3C3*a^0*b^3
     = a^3 + 3a^2b + 3ab^2 + b^3

The binomial expansions of (a+b) raised to the power 2 and 3 follow a specific pattern of coefficients, which allows for easy calculation of the expanded terms. This pattern is based on the binomial coefficient, which is derived from Pascal's Triangle. Understanding this pattern can simplify calculations involving sums of two terms raised to a power.

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The solution to the system of equations, written in matrix form, involves the values of x, y, and z in terms of the free parameter 'a'.

The given system of equations can be represented in matrix form as:

Copy code

[ 2  6  1 ] [ x ]   [ 9 ]

[ 0  2  3 ] [ y ] = [ 2 ]

[ -2 -2 a ] [ z ]   [ a ]

To solve this system, we can use Gaussian elimination or row reduction to bring the augmented matrix to row-echelon form. However, it is important to note that the solution will be in terms of the free parameter 'a'.

Performing the row operations, we can transform the augmented matrix as follows:

R2 = R2 - (3/2) * R1

R3 = R3 + R1

Copy code

[ 2  6   1  ]   [ x ]   [ 9 ]

[ 0  -7  3/2 ]   [ y ] = [ -7/2 ]

[ 0  4a  a+1 ]   [ z ]   [ 9+a ]

Next, we can simplify the second row by multiplying it by -2/7:

R2 = (-2/7) * R2

css

Copy code

[ 2   6   1  ]   [ x ]   [ 9 ]

[ 0   1  -3/7 ]   [ y ] = [ 1 ]

[ 0  4a  a+1 ]   [ z ]   [ 9+a ]

Finally, we can simplify the third row by subtracting 4a times the second row from it:

R3 = R3 - 4a * R2

css

Copy code

[ 2   6   1   ]   [ x ]   [ 9 ]

[ 0   1  -3/7 ]   [ y ] = [ 1 ]

[ 0   0  (a+1)+12a/7 ]   [ z ]   [ 9+a - 4a/7 ]

Now, we have a simplified form of the augmented matrix. We can express the solutions in terms of the free parameter 'a':

x = 9

y = 1

z = (9+a - 4a/7) / ((a+1)+12a/7)

In summary, the solution to the system of equations, written in matrix form, involves the values of x, y, and z in terms of the free parameter 'a'. The parameter 'a' allows for multiple solutions and represents the degree of freedom in the system.

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Answer:

100 secs or 1 minute and 40 secs

Step-by-step explanation:

you divide 600 by 6 and get 100 seconds