PLEASE HELP ME!!!!!!!!!!!!!
A state government borrows $2,000,000 at simple annual interest. Some of the money is borrowed at 6%, some at 7.5%, and some at 8.5%. Use a system of linear equations to determine how much (in dollars) is borrowed at each rate given that the total annual interest is $137,000 and the amount borrowed at 7.5% is four times the amount borrowed at 8.5%. Solve the system of linear equations using matrices.

The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (- 4, -1) is in the fourth quadrant. After a rotation of 270 counterclockwise about the origin, then the coordinate would be in the third quadrant.  

Let the coordinate of (-x, -y) be the fourth quadrant. Then the coordinate in the third quadrant will be (-y, -x)

Therefore, The image of the point (-4, -1) after a rotation of 270 counterclockwise about the origin will be (-4, 1).

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The equation of a line perpendicular to y 7 = - 4/3x that pass through the point (-8, -1) is 3x-4y=20 where x-intercept is 3 and y-intercept is -4.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables.

The formula for a straight line is y=mx+c where c is the height at which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.

Given line ;

y 7 = - 4/3x

now comparing it with y=mx+c to find the value of m and we found;

m1=-4/3

now if two lines are perpendicular then,

m1.m2=-1

m2=3/4

now finding the equation of line passing through the point (-8, -1)

x1=-8

y1=-1

(y−y1)=m(x−x1)

Y+1=(3/4)(x+8)

Y+1=(3x/4)+(24/4)

Y=(3x/4)+(6)-1

Y=(3x+20)/4

4y=3x+20

rearrange;

3x-4y=20

this is our required value.

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Point (6,2) is part of the function.

What are functions?

In mathematics, a function is a procedure that uniquely connects the value of one variable to the value of another variable (or variables).

Here, we have the plotted points as:

(0,3), (2,7), (3,1), (5,4), (7,6)

Assuming from the above, we get a sinusoid graph as below.

Now if we try to plot the provided points, we see that only (6,2) satisfies the curve.

Hence, (6,2) is a point that is part of the function.

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Answer:

it is 180

Step-by-step explanation:

Answer:

Hi!

The answer would be:

f(x)= 2x^3 - 7x^2 - 13x + 3

I hope this helped you! :)

Answer: 3√14 units

Step-by-step explanation:

Let the length of the other leg equal to x

Hence, according to Pythagoras' theorem

[tex]x^2+(9\sqrt{2} )^2=(12\sqrt{2})^2 \\\\x^2+9^2(\sqrt{2)^2}=12^2(\sqrt{2})^2\\\\x^2+81(2)=144(2)\\\\x^2+162=288\\\\x^2+162-162=288-162\\\\x^2=126[/tex]

Extract the square root of both parts of the equation:

[tex]x=\sqrt{126} \\\\x=\sqrt{9(14)} \\\\x=3\sqrt{14}\ units[/tex]

Answer:

x = -8

y = -15

Step-by-step explanation:

-3x + y = 9

y = x - 7

-3x + x - 7 = 9

-2x - 7 = 9

-2x = 16

2x = -16

x = -8

y = -8 - 7

y = -15

The ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

According to the question,

We have the following information:

0.4, 0.52, 0.81 and 0.43

Now, we know that in ascending order we order from the smallest to the largest.

Ascending order of the given numbers:

0.4, 0.43, 0.52 and 0.81

Now, the first number is 0.4.

Adding 2 to this number:

0.4+2

2.4

Subtracting the number from 5:

5-2.4

2.6

Now, multiplying it by 100:

2.6*100

260

Hence, the ascending order of the given numbers will be 0.4, 0.43, 0.52 and 0.81 and the final number after performing all the indicated operations is 260.

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The area of the figure is 50.24 units squared.

The figure above is a quarter of a circle. A circle divided into 4 equal parts is a quarter of a circle. Therefore, the area of the figure can be represented as follows:

Since, the figure is a quarter of a circle, the product of the area of a circle and 1 / 4 is the area of the figure.

Hence,

area of the figure = πr² / 4

where

Therefore,

r = 8

area of the figure =  3.14 × 8² ÷ 4

area of the figure =  3.14 × 64 × 1 / 4

area of the figure =  200.96 / 4

area of the figure = 50.24 units squared

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Hello,

I hope you and your family are doing well!

To find the total area of all four walls of the room, you need to find the area of each wall separately and then add them all together. The area of a wall is the product of its height and width.

The width of each wall is 50 meters, and the height of each wall is 10 meters, so the area of each wall is 50 * 10 = 500 square meters. There are four walls in the room, so the total area of all four walls is 500 * 4 = 2000 square meters.

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Answer: 2200

Step-by-step explanation: I looked it up

The required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

The expressions that have identical values are called to be equivalent expressions.

The expression is given in the question following as:

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

We have to determine the equivalent expression to the given expression

As per the question, we have

⇒ 3 + 2x − 9 − 4x + 11 + 5x − x

Combine the like terms together in the above expression,

⇒ 2x - 4x + 5x - x + 3 - 9 + 11

⇒ 2x  + 5

Thus, the required expression is 2x + 5 that equivalent to the expression, 3 + 2x − 9 − 4x + 11 + 5x − x.

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Cuties and naval oranges are interchangeable, therefore when Cuties' price drops, more mandarin oranges will be consumed by consumers, increasing the demand for naval oranges .

As the Mandarin oranges are an alternative for navel oranges, a decrease in the price of Mandarin oranges will result in more people purchasing Mandarin oranges.

The Federal Water Pollution Control Act Amendments of 1972 were passed in response to growing public knowledge of and concern over water pollution (33 U.S.C. 1251 et seq.).

This law was modified in 1977 (P.L. 95-217), and as a result, it became known as the Clean Water Act (CWA).

Given constant levels of the other determinants—tastes, income, prices of related goods, expectations, and the number of buyers—the demand curve is defined as the relationship between the price of the good and the amount or quantity the consumer is willing and able to purchase in a given time period.

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A = -x² + 20 is a quadratic function in standard form that depicts each area as a function of width.

A quadratic in mathematics is a particular kind of problem that involves squaring, or multiplying a variable by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Greek word meaning square, is where the word "quadratic" originates.

Now, give the x and y labels to the two sides.

We are aware that a rectangle's area is;

A = length * width

Thus;

A = xy

Given that she has 40 feet of fencing, the following follows:

y = 0.5(40) - x

y = 20 - x

Consequently, the area in the quadratic function formula is;

A = x(20 - x)

A = 20x - x²

A = -x² + 20

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As an object's mass and the energy difference between it and the barrier's energy increase, the probability that it will tunnel through the barrier diminishes.

And although while the functionality shows that the wave function never fully hits zero, this explains why tunneling is common at the nanoscale but insignificant at the larger scale. The probability of tunneling declines exponentially with the square root of the mass of the particle (smaller particles may more easily tunnel through barriers than larger ones) and the barrier thickness.

Three requirements must be satisfied for a quantum particle to appreciably tunnel through a barrier ,

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The value of x in the linear inequality -3(2x - 5) < 5(2 - x)  is x > 5 which shows an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

A system of linear inequalities in two variables includes at least two linear inequalities in the identical variables. When we solve linear inequality then we get an ordered pair. So basically, in a system, the solution to all inequalities and the graph of the linear inequality is the graph displaying all solutions of the system.

In the given inequality, we have -3(2x - 5) < 5(2 - x)

We can expand the graph and simplify

-3(2x - 5) < 5(2 - x)

-6x + 15 < 10 - 5x

15 - 10 < -5x  + 6x

5 < x

x > 5

This indicates that an open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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Answer:

check image

Step-by-step explanation:

do the cross method for each one for example for the first one do 11x20 which equals 220 then divide that by 22 so 220/22 that gives you 10

In linear equation, Clark rode 2 kilometres more than Denise .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                       Equations whose variables have a power of one are called linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

Denise rode 3 kilometres .

Clark rode 5000 metres which is 5 kilometres .

So , Clark rode 2 kilometres more than Denise .

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Answer:

No.

Step-by-step explanation:

Don't worry. Yes, your grade will decrease but won't go to 0.

Answer: It all depends on how weighted your final exam is on your overall grade compared to other assignments.

Answer: The expression you provided is a quadratic function in the form of H(x) = ax^2 + bx + c, where a = -7, b = 10, and c = -5. The graph of this function is a parabola with the vertex located at x = -b/2a = -10/(-14) = 5/7. The y-coordinate of the vertex can be found by plugging the x-coordinate into the original function, giving us H(5/7) = (-7)(5/7)^2 + 10(5/7) - 5 = -5/7 + 25/7 - 5 = 0. This means that the vertex of the parabola is located at the point (5/7, 0). The general form of the quadratic function is H(x) = -7(x - 5/7)^2.

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

The definition of univariable data is "one variable," and it is generally understood to be one sort of data. It is one of the straightforward methods for data analysis. The data in univariable data only include one variable.

The cat's weight, for instance, is 10, 15, 25, 27, 30, 35, and 40.

The variable is hence "Cat weight."

The definition of bivariate data is "Two Variable," and it essentially consists of two different forms of data. It is a straightforward type of statistical analysis.

Only one variable is analysed at a time in univariate statistics. Two variables are compared in bivariate statistics. Multiple variables are compared using multivariate statistics.

In a bivariate analysis, the correlations between the two variables are measured. When there are more than two variables in the data set, a more complicated statistical analysis technique called multivariate analysis is utilized.

Therefore,

In univariate data, only one variable is assessed for each person. Two variables are measured for each person in bivariate data.

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Answer: 2.73 is the answer

Step-by-step explanation:

Answer:

The answer is x= -2/3

Step-by-step explanation:

The value of X is 67°.

Hence, The value of X is 67°.

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The complete question is:

Answer: x= 11/12

Step-by-step explanation:

-6(10x-10) - 5

-60x +60 - 5

-60x + 55

Subtract 55 on both sides

-60x = -55

x= 55/60

x= 11/12

If m is the centroid of triangle abc, am = 44, ce =54, and dm = 23, then each missing measure fm=88 and ce=44.

The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median.

Step 1: Identify each vertex's coordinates.

Step 2: Add together and divide by three all the x values from the coordinates of the three vertices.

Step 3: Add together all the y values from the three vertices and divide the result by three.

Step 4: The centroid coordinate is determined from the values collected in stages 2 and 3.

the ratio of both segments is 2:1.

where;

am = 44 and dm = 23

the longer segment is double of shorter one:

2*23 = 46.

Therefore,

fm = 46-23

= <<23=23>>23

now finding ce:

= 2*44

= 88, so

ce measures

= 88-44

=44.

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Answer: $4

Step-by-step explanation:

75% = 3/4

If 4/4 = full price,

subtract 3/4

4/4 - 3/4 = 1/4 = 25% of the original price

25% = $1

75% = $3

$1 + $3 = $4

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.