please help this is my last question

Answer:

Factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010. There are 11 integers that are factors of 2020. The biggest factor of 2020 is 1010.

There are 10, 20, 202, 404, 505, and 1010  factors of 2020 have more than 3 factors.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.

For an integer, factorization is decomposition of that integer in terms of smaller integers which when multiplied with each other give back that considered number. Those composing integers are called factors of that considered integers.

Also Prime factorization is when all those factors are prime numbers.

Thus, this factorization expresses an integer in terms of multiples of prime numbers.

Factors of 2020 are;

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010.

There are 11 integers that are factors of 2020.

We can see that the biggest factor of 2020 is 1010.

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Answer:

Step-by-step explanation:

(3.00 - 2.40)/2.40  = p/100;

Then. 0.60/2.40 = p/100;

1/40 = p/100;

p = 100/40;

p = 2.5;

The percentage increase was 2.5%;

Answer:

Value of x = 5

Step-by-step explanation:

Given:

x + 4 = 3(x - 2)

Find:

Value of x

Computation:

x + 4 = 3(x - 2)

⇒ x + 4 = 3x - 6

⇒ x = 3x -6 - 4

⇒ x - 3x = -10

⇒-2x = - 10

⇒ x = -10 / - 2

Value of x = 5

In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

Answer:

b. (-7,0) and c. (1,0)

Step-by-step explanation:

The x-intercept is where the points pass through the x-axis(horizontal line)

You can see that the coordinates (-7,0) and (1,0) pass through the x-axis.

Answer: (-7, 0), (1,0)

Step-by-step explanation:

The x-intercepts of the parabola will be on the x-axis.

-7 and 1 are where the parabola crosses over the x-axis

Answer:

8x + 1.75 = y

Step-by-step explanation:

Read the question and look for key words.

In this questions the key words are Each and Total.

x is for each pizza purchased and y is total cost.

The delivery charge is a one time charge so no need to add a letter because people don't buy more than one delivery charge.

Hope this helps!

We have:

Image of book on website

Wide = 1.5 inches

Tall = 3 inches

Actual book

Wide = 9 inches

Tall = ?

a) Scale used for the image:

Answer: scale = 6 inches

b) Tall actual book

Answer: tall = 18 inches

It will take approximately 63.58 seconds for the bar to attain a temperature of 30°C.Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference between the object's temperature and the ambient temperature.

Newton's Law of Cooling states that the rate of change of temperature of an object is proportional to the difference between the object's temperature and the ambient temperature. It can be expressed as:

dT/dt = -k(T - Ta)

Where:

- dT/dt is the rate of change of temperature with respect to time,

- T is the temperature of the object,

- Ta is the ambient temperature,

- k is a constant of proportionality.

In this case, we can set up the following equation using the given information:

dT/dt = -k(T - Ta)

Given:

- Initial temperature of the bar (T0) = -50°C

- Temperature of the pool (Ta) = 60°C

- Time elapsed (t) = 45 seconds

- Temperature of the bar at t = 20°C (T)

We can rearrange the equation as follows:

dT/(T - Ta) = -k dt

Integrating both sides of the equation gives:

ln|T - Ta| = -kt + C

To solve for C, we substitute the initial conditions:

ln|T0 - Ta| = -k(0) + C

ln|T0 - Ta| = C

Substituting the values of T, T0, and Ta:

ln|20 - 60| = C

ln|40| = C

C = ln(40)

Now we can solve for k using the given information at t = 45 seconds:

ln|T - Ta| = -kt + ln(40)

ln|20 - 60| = -k(45) + ln(40)

ln|-40| = -45k + ln(40)

ln(40/|-40|) = -45k

k ≈ -ln(40/|-40|) / 45

Once we have the value of k, we can use it to find the time required for the bar to reach a temperature of 30°C.

ln|T - Ta| = -kt + ln(40)

ln|30 - 60| = -k(X) + ln(40)

ln|-30| = -k(X) + ln(40)

Solving for X:

X ≈ (ln|-30| - ln(40)) / -k

Substituting the value of k we obtained earlier:

X ≈ (ln|-30| - ln(40)) / -(-ln(40/|-40|) / 45)

X ≈ (ln(30/40) / ln(40/|-40|) / 45)

X ≈ 63.58 seconds

Therefore, it will take approximately 63.58 seconds for the bar to attain a temperature of 30°C.

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Answer:

your question makes no sense

To convert the following second-order differential equation into a system of coupled equations, the following steps should be followed:d2y/dt2 + dy/dt + 2x - 5y = 9cos(4t)This is a second-order differential equation.

To transform the second-order differential equation to a system of two first-order differential equations, we will use the following notation:y1 = y, y2 = y'First, we'll find y1' and y2', as follows:y1' = y' (since y1 = y)y2' = y'' = -2y' + 5y - 9cos(4t)Using our notation for y1 and y2, we can rewrite the second-order differential equation as follows:y2' + 2y1 - 5y2 = 9cos(4t)y1' = y2

In matrix form, the system of coupled equations x1' 0 1 x1 = x2' 3 -2 x2 is written as x' = Ax, where A = 0 1 -2 3.We need to find the eigenvalues, eigenvectors, characteristic equation, general solution, and response type expected of this system of coupled equations.

Let us take each of these steps one at a time.i) Characteristic equation:The characteristic equation can be obtained as det(A - λI) = 0, where I is the identity matrix of size 2 x 2. By substituting A and I into the above expression, we get det 0 - 1 2 - λ 3 - λ = 0 Simplifying the above equation gives λ2 - 3λ + 2 = 0.

ii) Eigenvalues: Using the quadratic formula, we can solve for the eigenvalues: λ = (3 ± sqrt(9 - 8))/2 = 2, 1iii) Eigenvectors:

Substituting λ = 2 into (A - λI)x = 0 gives (-2 1 2 -1)x = 0, which is equivalent to the system of linear equations -2x1 + x2 + 2x3 = 0 x1 - x2 - x3 = 0 By solving this system of equations, we get the eigenvector (1 1/2)T.

Substituting λ = 1 into (A - λI)x = 0 gives (-1 1 2 -2)x = 0, which is equivalent to the system of linear equations -x1 + x2 + 2x3 = 0 x1 - x2 + 2x3 = 0 By solving this system of equations, we get the eigenvector (2 -2)T.

iv) The general solution of the system x' = Ax is given by x(t) = c1e2t(1 1/2)T + c2e1t(2 -2)T, where c1 and c2 are constants that are determined by the initial conditions of the system.

v) Response type expected:The system is a stable node because both eigenvalues are negative and the eigenvectors point towards the origin.

We have transformed a second-order differential equation into a system of coupled equations and found the characteristic equation, eigenvalues, eigenvectors, general solution, and response type expected of the system of coupled equations. The system is a stable node, which means that it returns to the equilibrium state after being disturbed.

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Answer: y = -5

Here you go

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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I assume it's the moon?

Answer:

garbage and rocks and all sorts of stuff

Step-by-step explanation:

Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).

Graphs are used by academics to logically depict or chart events or values visually. A graph point often depicts the relationship between two or more things. The non-linear storage structure known as a graph is made up of nodes, often referred to as vertices, and edges. Glue ought to be used to join the nodes, also known as vertices. In this graph, the vertex numbers are 1, 2, 3, or 5, whereas the edge numbers were 1, 2, 1, 3, 2, 4, etc (2.5). (3.5). (4.5). (4.5). graphics that graphically represent exponential growth in statistical diagrams like line graphs, charts, and bar graphs. a logarithmic graph with a triangle form

Here,

Given :

=>  y=(x-5)²+4

So,

x =0

then y value :

=> y = (0-5)² +4

=> y = 25 +4

=> y = 29

=> (0,29)

and

=>  y=2x²+8x+5

So,

x = 0 ,

then y value :

=> y = 2(0)² + 8(0) + 5

=> y = 5

=> (0,5)

Therefore , the solution of the given problem of graph comes out to be (0,29) and (0,5).

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Answer:

7 meters

Step-by-step explanation:

Circumference is equal to pi times diameter. If you divide both sides of the equation by pi you get diameter of the Big Ben clock. If you divide diameter by 2 you get radius.

If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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Answer:

because of the gravity of the earth

Answer:

5x+50

Step-by-step explanation:

Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

The expression is 8n – 3; The 100th term is 797

The nth term of an arithmetic sequence is given by:

an=a1+(100-1)d          ....[1]

where

a1  is the first term

d is the common difference of two consecutive terms.

n is the number of terms.

Given the sequence:

5, 13, 21, 29, 37, 45, …

This is an arithmetic sequence with first term  = 5 and common difference(d) = 8

Since;

13-5 = 8,

21-13 = 8,

29-21 = 8  and so on....

We have to find the 100th term in the sequence

Substitute in [1] we have;

an=a1+(100-1)d

an=5+(n-1)8=5+8n-8 = 8n-3

Substitute the given values and n=100 we have;

a100= 800 - 3 = 797

Therefore, the 100th term in the sequence is, 797 and an expression to describe a rule for the sequence is, 8n – 3;

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The area of triangle ABC with vertices is 22 square units

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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The answer is (3a + 20) and also here variable ' a ' appears only once.

A linear expression is an algebraic expression in which each term is a constant or a variable raised to the first power. To put it another way, none of the exponents can be greater than 1.

\(x^2\) is a variable raised to the second power, whereas x is a variable raised to the first power.

A linear expression is 2x - y + 3.

A constant is represented by the number,  example 5.

Given,

expression (a - 4) and (4a + 16)

subtracting (a - 4) from (4a + 16), results in

= (4a + 16) - (a - 4)

= 4a + 16 - a + 4

=3a+20

Thus, the answer is (3a + 20), and variable 'a' appears only once.

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Step-by-step explanation:

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer:

Step-by-step explanation:

Price of 1000 bricks = Rs. 3500

Price of 1 brick = 3500 / 1000

                        = Rs. 3.5

Price of 6000 bricks = Rs. 3.5 * 6000

                                 = Rs. 21000

Hope it will help :)

Step-by-step explanation:

let the bricks be x

Bricks

6000 x

1000 3500

3500×6000=1000×x

21000000/1000=X

21000 Answer

Answer:

n = n/4 - 2

Step-by-step explanation:

n = 1/4 * n - 2

   = n/4 - 2

Answer:

No

Step-by-step explanation:

4.61 is not an integer because integer's are either whole numbers, positive numbers, and negative numbers. 4.61 is an decimal and decimal is not on the integer list. If you need anymore help with integers just ask.

Answer:

No, 4.61 is not an integer.

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5+, and √2 are not.

Hope this helps.

Answer:

1 pen costs $0.75, and 1 pencil costs $0.25.

Step-by-step explanation:

Let x = price of 1 pen.

Let y = price of 1 pencil.

John:

20x + 50y = 27.5

Jessica:

10x + 40y = 17.5

System of equations:

20x + 50y = 27.5

10x + 40y = 17.5

Rewrite the first equation. Multiply both sides of the second equation by -2 and write it under the first equation. Add the equations.

      20x + 50y = 27.5

+    -20x - 80y   = -35

---------------------------------

                -30y = -7.5

Divide both sides by -30.

y = -7.5/(-30)

y = 0.25

Use the first equation.

20x + 50y = 27.5

Substitute 0.25 for y and solve for x.

20x + 50(0.25) = 27.5

20x + 12.5 = 27.5

Subtract 12.5 from both sides.

20x = 15

Divide both sides by 20.

x = 15/20

x = 0.75

Answer: 1 pen costs $0.75, and 1 pencil costs $0.25.