What is the slope of the line that passes through the points (1, -4) and (3, 4)?
A. 1/4
B. 5/7
C. 4
D. -1/4

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = \(P(1+rt)\)

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

\(A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125\)

Formula to compute compound amount : \(P(1+r)^t\)

\(=2000(1+r)^5\)

When both have same worth then

\(2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625\)

taking log on both sides , we get

\(5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%\)

Hence, Value of r= 1.22

To find the equation of a line perpendicular to the line 2x - y - 1 = 0, we first need to determine the slope of the given line. The equation of the line can be rewritten in slope-intercept form as y = 2x - 1. Comparing this equation to y = mx + b, we can see that the slope of the line is m = 2.

A line perpendicular to this line will have a slope that is the negative reciprocal of 2. So the slope of the perpendicular line is -1/2.

Using the point-slope form of the equation of a line, we can write the equation of the line perpendicular to 2x - y - 1 = 0 and passing through the point A(3, -2) as:

y - (-2) = (-1/2)(x - 3)

Simplifying the equation, we get:

y + 2 = (-1/2)x + 3/2

Or, rearranging the equation:

y = (-1/2)x + 3/2 - 2

y = (-1/2)x - 1/2

Therefore, the equation of the line perpendicular to 2x - y - 1 = 0 and passing through the point A(3, -2) is y = (-1/2)x - 1/2.

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Find the equation of the line through point (-2,-2) and parallel to 3+4=12.

\(( - 2 \: - 2)\)

Factor out the negative sign

\( - ( 2 + 2)\)

Calculate

\( - 4\)

\(3 + 4 = 12\)

Calculate

\(7 = 12\)

Check the equality

\(false\)

Since N/2 leaves a remainder, N must be odd and ends with 1, 3, 5, 7, or 9.

N/5 also leaves a remainder, so N is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + 4 and 9 = 4•2 + 1

Alternatively, the given information is equivalent to saying

\(N\equiv 4\pmod5\\\\N\equiv1\pmod2\)

Then you can use the Chinese remainder theorem to find N.

Answer:

Part A  The 4th bubble y= -55x+1630

Part B 1630

Part C 55

Step-by-step explanation:

Part A Use slope to find answer. In this example, points (1,599) and (4,1430).

Next use equation y1-y2/x1-x2. In this example, 1599-1430/1-4  which equals 169/-3 and that equals -56.3333333333333333333333.  Since y= -55x+1630 is closer, choose that answer.

Part B use y intercept. The y intercept is 1630

Part C Use the slope -55. It decreases by 55.

Answer:

see explanation

Step-by-step explanation:

1

(5p² - 3) + (2p² - 3p³) ← remove parenthesis

= 5p² - 3 + 2p² - 3p³ ( collect like terms , largest exponent first )

= - 3p³ + 7p² - 3

2

(a³ - 2a²) - ( 3a² - 4a³) ← distribute second parenthesis by - 1

= a³ - 2a² - 3a² + 4a³ ( collect like terms, largest exponent first )

= 5a³ - 5a²

3

(- 4\(k^{4}\) + 14 + 3k²) + (- 3\(k^{4}\) - 14k² - 8) ← remove parenthesis

= - 4\(k^{4}\) + 14 + 3k² - 3\(k^{4}\) - 14k² - 8 ← collect like terms, largest exponent first

= - 7\(k^{4}\) - 11k² + 6

4

(3 - 6\(n^{5}\) - 8\(n^{4}\)) - (- 6\(n^{4}\) - 3n - 8\(n^{5}\)) ← distribute second parenthesis by - 1

= 3 - 6\(n^{5}\) - 8\(n^{4}\) + 6\(n^{4}\) + 3n + 8\(n^{5}\) ( collect like terms, largest exponent first )

= 2\(n^{5}\) - 2\(n^{4}\) + 3n + 3

5

(y³ - 7\(x^{4}\)\(y^{4}\)) + (- 10\(x^{4}\)y³ + 6y³ + 4\(x^{4}\)\(y^{4}\) ) - (  \(x^{4}\)y³ + 6\(x^{4}\)\(y^{4}\))

remove parenthesis from first 2 and distribute third by - 1

= y³ - 7\(x^{4}\)\(y^{4}\) - 10\(x^{4}\)y³ + 6y³ + 4\(x^{4}\)\(y^{4}\) - \(x^{4}\)y³ - 6\(x^{4}\)\(y^{4}\)

collect like terms

note the term with the largest exponent is \(x^{4}\)\(y^{4}\)

= (- 7\(x^{4}\)\(y^{4}\) - 6\(x^{4}\)\(y^{4}\) ) + (- 10\(x^{4}\)y³ - \(x^{4}\)y³) + (y³ + 6y³)

= - 13\(x^{4}\)\(y^{4}\) - 11\(x^{4}\)y³ + 7y³

Answer:

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

i didnt do the radio sum...

The z-score of 2 for a sample has a mean of 100 and a standard deviation of 6 is 112.

The value that would correspond to the z-score of 2 for a sample with a mean of 100 and standard deviation of 6 can be calculated using the formula for z-score:
z = (x - mean) / standard deviation

In this case, we want to find the value of x that corresponds to a z-score of 2. We can rearrange the formula to solve for x:
x = (z * standard deviation) + mean

Substituting the values given in the question:
x = (2 * 6) + 100
x = 12 + 100
x = 112

Therefore, the value that corresponds to the z-score of 2 for this sample is 112.

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Shrink is determined by multiplying the offset multiplier by the offset rise. Therefore, the correct option is c. offset multiplier.

In electrical conduit bending, a conduit is bent using an offset, which is a combination of two bends in opposite directions.

The offset rise is the vertical distance between the two bends, and the offset multiplier is a factor that determines the amount of shrink, or the horizontal distance between the two bends.

The shrink is determined by multiplying the offset multiplier by the offset rise. This is because the amount of shrink depends on how steep the angle of the offset is and how far apart the bends are.

The offset multiplier is a constant that depends on the diameter of the conduit being bent and the angle of the offset. So, the correct answer is C).

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Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

Step-by-step explanation:

the answer will be zero 0

A ten-by-ten grid has 7 columns shaded. All of the following that represent the part of the grid that is shaded are : The correct answer is (A) 70 and (B) 7.

The information given in the problem tells us that a ten-by-ten grid has 7 columns shaded. Since there are a total of 10 columns in the grid, this means that 7/10 of the columns are shaded.

To express this as a percentage, we can divide 7 by 10 and multiply by 100:

(7/10) x 100 = 70%

Therefore, 70 represents the percentage of columns that are shaded in the grid. Option (A) is correct.

Alternatively, we can express the same proportion as a decimal by dividing 7 by 10:

7/10 = 0.7

Therefore, 0.7 represents the proportion of columns that are shaded in the grid. Option (E) is incorrect because it shows 0.7 as a fraction instead of a decimal.

Option (B) is also correct because it correctly identifies the number of shaded columns as 7. Option (C) is incorrect because it includes both the percentage and the number of shaded columns, which is redundant. Option (D) is incorrect because it shows the proportion of shaded columns as a decimal with an extra zero.

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Answer:

Slope=\(\frac{11}{-4}\)

Step-by-step explanation:

The angle sum property of a triangle indicates that the variable x = 32, and the measures of the angles are;

m∠A = 115°

m∠C = 50°

The angle sum property of a triangle states that the sum obtained from adding the three interior angles of a triangle is 180°.

The expressions for the measures of the angles of the triangles are;

m∠A = (4·x - 13)°

m∠B = 15°

m∠C = (x + 18)°

The angle sum property for a triangle indicates that we get;

(4·x - 13) + 15 + (x + 18) = 180

5·x + 20 = 180

5·x = 180 - 20 = 160

x = 160/5 = 32

Therefore; m∠A = (4·x - 13)°

m∠A = (4 × 32 - 13)° = 115°

m∠B = 15°

m∠C = (x + 18)°

m∠C = (32 + 18)° = 50°

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The sum of -3/8 and 6/10 is 9/40.

When adding or subtracting fractions, it is necessary to have a common denominator. The common denominator allows us to combine the fractions by adding or subtracting their numerators while keeping the same denominator.

In this case, we have the fractions -3/8 and 6/10. To find a common denominator, we need to determine the least common multiple (LCM) of the denominators, which are 8 and 10.

The LCM of 8 and 10 is 40. So, we rewrite the fractions with a common denominator of 40:

-3/8 = -15/40 (multiplying the numerator and denominator of -3/8 by 5)

6/10 = 24/40 (multiplying the numerator and denominator of 6/10 by 4)

Now that both fractions have a common denominator of 40, we can add or subtract their numerators:

-15/40 + 24/40 = 9/40

Therefore, the sum of -3/8 and 6/10 is 9/40.

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Answer:

{1,2,3}

Step-by-step explanation:

The others will not show all the numbers from the set to make the inequality true

Answer:

1,2,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

207

2 thousands+ 2 tens = 2070

divide that by 10

2070÷10= 207

Answer:

207

Step-by-step explanation:

(2 thousands 7 tens ) / 10 = (2000 + 70) / 10

So 2000 + 70 is 2070

Then 2070 divided by 10 is 207.

I REALLY HOPE THIS HELPED

The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

11. 26

12. 111

Step-by-step explanation:

_______________

Answer:

11.since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

The correct statements among the given options are d)there is a Nonzero vector, a), and e)A is similar to B, then A' is similar to B^2.

Among the given statements, the correct statements are:

d) If there is a nonzero vector in the kernel of a linear transformation T, then 0 is an eigenvalue of T.

a) Similar matrices have the same eigenvalues.

e) If A is similar to B, then A' is similar to B^2.

d) If there is a nonzero vector in the kernel of a linear transformation T, then 0 is an eigenvalue of T.

This statement is correct. The kernel of a linear transformation consists of all the vectors that map to the zero vector. If there is a nonzero vector in the kernel, it means there is a vector that gets mapped to zero, which implies that the linear transformation has the eigenvalue of 0.

a) Similar matrices have the same eigenvalues.

This statement is correct. Similar matrices represent the same linear transformation under different bases. Since the eigenvalues of a matrix represent the values for which the linear transformation has nontrivial solutions, similar matrices have the same eigenvalues.

e) If A is similar to B, then A' is similar to B^2.

This statement is also correct. If matrices A and B are similar, it means there exists an invertible matrix P such that P^(-1)AP = B. Taking the transpose of both sides of this equation, we get (P^(-1)AP)' = B'. Since the transpose of a product is the product of the transposes in reverse order, we have P^(-1)A'P = B'. Similarly, we can square both sides of the original equation to get (P^(-1)AP)^2 = B^2. Therefore, A' is similar to B' and A^2 is similar to B^2.

Therefore, the correct statements among the given options are d), a), and e).

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Answer:

I will say this idk if you learn by reading or watching better, so if it's reading then read on! but if it's watching then look up "how to graph lines" and there is a bunch of videos!

Step-by-step explanation:

so you have y = 3x - 2 so first on the y axis your start point will be (0, -2)

then refer to rise over run ( rise/run) where rise is up(on the y axis) and run is across on the x axis.

so you start at (o, -2) and up 3 points on the y axis and across 1 point (go left) and mark it and repeat( up 3 across 1) until you reach  the top of the graph

then finish the graph so repeating this going to the bottom is the same but different directions:

so go back to (0, -2) and go down 3 points (y axis) and across 1 point(this time go right on the x axis) and repeat until you reach the bottom and then use the points you marked to trace a line and boom your done! (this explanation is only for number 10)

same rise over run but different points and possibly line direction.

so for number 11: your starting point is (0, 3) and you go up 4 point and across 1 point but this time go across to the right. repeat. once you at the top of the graph go back to (0, 3) and go down 4 points and 1 point to the left. repeat. until you reach the bottom. trace the line.

number 12: a bit more tricky. starting point  is (0, 5) for this one you go up 6 points and across 5 to the right. repeat. until you get to the top then go back to (0, 5) and go down 6 points and across 5 to the left. repeat. once you reach the bottom trace your line. then done! Sorry to inform you I don't know about 13 and 14! :(

Bonus but still important: the reason why you are going left and right on some of the lines is because the + or - in your equations tell you which direction the line is facing, toward the left (on the top part of your graph) would be - and toward the right part of your would be a + in the equation

More Bonus: a formula Is y=mx + b (0, b)( for ex: 0,5) is the starting point and (mx or for ex 4x is the amount you go up and across. When there is a x that always means across 1 and when there is not a x (ex: 6/5) it's across whatever the 5 is. ex: 6/6 is up 6 and across 6

Hope this helps!

Answer:

Slope is -5 and y intercept is 4

Step-by-step explanation:

Hope this helps, and if you don't mind, could you mark me brainliest, I would really appreciate it

Answer:

Slope is -5

Y-intercept is 4 or (0,4)

Step-by-step explanation:

You use the linear equation of y=mx+b, where m is the slope and b is the y-intercept.

y=-5x+4

m=\(-5\), and b=4

So, slope=5, and the y-intercept is 4, or (0,4)

Option a, adjacency matrix. An adjacency matrix is a two-dimensional array that represents a graph's edges, where the rows and columns correspond to the vertices of the graph. If there is an edge between two vertices, the corresponding element in the matrix is set to 1, otherwise it is set to 0. This implementation is useful for dense graphs, where the number of edges is close to the maximum possible number of edges.

An adjacency matrix is a simple and efficient way to represent graphs that have a large number of vertices and edges. It allows for fast lookups of the existence of an edge and is useful for various algorithms that require graph representation. However, it is not suitable for sparse graphs, where the number of edges is much smaller than the maximum possible number of edges. In such cases, an adjacency list would be more appropriate.

The common implementation of a graph that uses a two-dimensional array to represent the graph's edges is called an adjacency matrix.

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Answer:

square and circle

Step-by-step explanation:

it will always be equal

im also not so good at this stuff so bear with me

When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer: $5,291.

Step-by-step explanation:

We can just use the formula I=p*r*t or I=prt.

We know that p (principal)=72,150

We know that interest rate as a decimal would be 0.11 (11/100)

and the time in years is 8/12 years, or 2/3 years,

Now to solve

72,150x0.11x(2/3)=5,291.

EXPLANATION

If the last term of a trinomial is negative, then we know that the factors are of different sign, and if the last term is positive then the factors have the same sign.

Therefore the polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written in the form: ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 6 where a = 1, b = -2, c = 4, and d = -2

The polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written as:

ax^3 + bx^2 + cx + d = (x - 2)(x^2 + 1) - x(x - 3)

To find the values of a, b, c, and d, we need to multiply out the binomials and combine like terms. Using the distributive property, we get:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + x^2 + x - x^2 + 3x - 2

Now we can combine like terms:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 2

So we can see that:

a = 1, b = -2, c = 4, and d = -2

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