The elimination method was used to solve the following system of equations:

x2 – y = –3
x2 + y2 = 9

Which of the following is the correct y-coordinate of the solution? (5 points)
0
1
3
-4

Answer:

10 columns

Step-by-step explanation:

[tex]\frac{60}{6}=10[/tex] columns

Answer:

4.6%

Step-by-step explanation:

3500+175 = 3675

(175/3675)×100 = 4.6%

Answer:

To find the equation of the line that passes through the point (5,-8) and is parallel to the line 5x-4y=16:

1. Identify the slope of the original line (m = 5/4).

2. Use the point-slope formula: y - (-8) = (5/4)(x - 5).

3. Simplify the equation.

4. The equation is y + 8 = 5/4(x - 5), or 5x - 4y = 16.

Events that have no outcomes in common  are said to be disjoint or mutually exclusive.

Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.

If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.

Set A = {2, 4, 6, 8, 10, 12, 14, 16}

Set B = {1, 3, 5, 7, 9, 11, 13, 15}

A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.

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Answer:

Step-by-step explanation:

It would take 300 minuets

The equivalent expression is 81 + 9x

An algebraic expression is simply defined as an expression that is composed of terms, variables, coefficients, factors and constants.

They are also made up of arithmetic operations like subtraction, division, addition, multiplication, bracket and parentheses.

Equivalent expressions are defined as expressions with the same solution but which differs in the mode of their arrangement.

From the information given, we have that;

27+3x

Multiply the values by 3 each, we get;

81 + 9x

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Jet could fly a distance of 752 miles in 8 hours if it travels at the same rate.

Speed is defined as the unit rate in terms of distance travelled and the time taken to travel the distance.

Speed has only magnitude and no direction and therefore is a scalar quantity.

Given that,

a jet travels 470 miles in 5 hours.

Distance travelled = 470 miles

Time taken to travel the distance = 5 hours

Speed of the jet = 470 miles / 5 hours = 94 miles per hour

Given that jet is travelling at the same rate. So the speed is constant.

We have to find the distance travelled in 8 hours.

Let d be the distance.

Speed = Distance / Time

Distance = Speed × Time

d = 94 × 8

d = 752 miles

Hence the distance travelled is 752 miles in 8 hours.

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The equation of circle is ( x + 1 )² + ( y - 2 )² = 20

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the points on the circle be A ( -5 , 4 ) , B ( 3 , 4 ) and C ( 3 , 0 )

Now , the equation of the circle is of the form

ax + by + c = x² + y²

Substituting the values in the equation , we get

-5a + 4b + c = 41   be equation (1)

3a + 4b + c = 25   be equation (2)

3a + c = 9   be equation (3)

Subtracting equation (2) from equation (1) , we get

-8a = 16   be equation (4)

Divide by -8 on both sides of the equation , we get

a = -2

Substitute the value of a in equation (3) , we get

3 ( -2 ) + c = 9

-6 + c = 9

c = 15

Substitute the value of a and c in equation (2) , we get

-6 + 4b + 15 = 25

4b + 9 = 25

4b = 16

b = 4

So , the value of a , b and c are -2 , 4 and 15 respectively

Now , the equation of circle will be

-2x + 4y + 15 = x² + y²

On simplifying the equation , we get

x² + y² + 2x - 4y - 15 = 0

( x² + 2x + 1 ) - 20 + ( y² - 4y + 4 ) = 0

So , the equation will be

( x + 1 )² + ( y - 2 )² = 20

Hence , the equation of circle is ( x + 1 )² + ( y - 2 )² = 20

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Answer:

              There are three terms in the given expression.

Step-by-step explanation:

              First, a term is a single individual value on which mathematical operations occur in an algebraic expression. Essentially, terms are every part of an expression that is separated by any mathematical operation, such as PEMDAS. In the expression [tex]\frac{v}{3} -4*2[/tex], [tex]\frac{v}{3}[/tex], -4, and 2 are all terms. Therefore, there are three terms in the given equation.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

Step-by-step explanation:

ur mom

Answer: 1 and 2 = vertical
              3 and 4 = adjacent

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Answer:

Ann will owe $15,258.23 after 6 years, assuming she makes no payments.

What is Compound Interest ?

Compound interest is a method of calculating interest on a loan or investment, where interest is earned on both the initial principal amount and on any interest that has already been earned. In other words, interest is added to the principal, and then interest is calculated on the new total amount (the principal plus the previously earned interest). This results in the interest earned growing exponentially over time.

According t o given condition :

To calculate the amount Ann will owe after 6 years, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

where:

A = the amount Ann will owe after 6 years

P = the initial principal amount borrowed, which is $8000 in this case

r = the annual interest rate as a decimal, which is 15% or 0.15

n = the number of times interest is compounded per year, which is once annually in this case

t = the number of years, which is 6 in this case

Plugging in these values, we get:

A =

A =

A = $15,258.23

Therefore, Ann will owe $15,258.23 after 6 years, assuming she makes no payments.

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Answer:

Infinite solutions

Step-by-step explanation:

There are an infinite number of solutions. If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect.

The simplified value of the expression is,

⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]

Now, We can simplify by the rule of exponent as;

⇒ [tex]\frac{(\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{6/5} }[/tex]

⇒ [tex](\sqrt[3]{3} )^{3/5} }{(\sqrt[3]{3} )^{- (6/5)} }[/tex]

⇒ [tex](\sqrt[3]{3} )^{3/5 - 6/5[/tex]

⇒ [tex](\sqrt[3]{3} )^{-3/5[/tex]

⇒ [tex]\frac{1}{\sqrt[3]{3} ^{ 3/5} }[/tex]

⇒ [tex]\frac{1}{\sqrt[5]{3} }[/tex]

Thus, The simplified value of the expression is,

⇒  [tex]\frac{1}{\sqrt[5]{3} }[/tex]

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Answer:

x = ~4.40 or [tex]\sqrt{19.37}[/tex]

Step-by-step explanation:

This is a right triangle, so we will use the Pythagorean Theorem.

The theorem goes as follows: [tex]a^2 + b^2 = c^2[/tex]

Let's set x as the a value in the theorem. Plug in 6.8 for b, and 8.1 for c.

[tex]x^2 + (6.8)^2 = (8.1)^2[/tex]

Then, simplify!

[tex]x^2 + 46.24 = 65.61[/tex]

Subtract 46.24 on both sides.

[tex]x^2 = 19.37[/tex]

Take the square root of both sides

[tex]x =\sqrt{19.37}[/tex]

Voila!

Answer:

  112

Step-by-step explanation:

You want the number of 3-digit "dropdown numbers".

A "dropdown number" has distinct digits, one of which is the average of all digits.

We can count the number of dropdown numbers by considering the digit that is the average of the rest. For that digit (n), the number of possible choices of the other digits is the lesser of (n) or (9-n). For example, for n=2, we can have other digit pairs of (0, 4) or (1, 3). For n=6, we can have other digit pairs of (5, 7) or (4, 8) or (3, 9).

The value of n may range from 1–8, inclusive, so the number of digit triples will be 2(1 +2 +3 +4) = 20. Each triple of digits can be arranged 6 ways, for a total of 20·6 = 120 numbers of 3-digits.

Of those, 8 numbers will have a leading 0, so may not count as 3-digit numbers. That leave a total of 120 -8 = 112 3-digit dropdown numbers.

__

Additional comment

The first 5 in numerical order are ...

  102, 120, 123, 132, 135

The last 5 are ...

  957, 963, 975, 978, 987

In general, a number on the list, m, has a corresponding number 999-m also on the list. The exceptions are numbers that have a leading digit of 0.

Step-by-step explanation:

I am in class 7 If I know I tell you I am go to ask my teacher

Answer:

Domain:(−∞,5)∪(5,∞),{x|x≠5}

Range:(−∞,3)∪(3,∞),{y|y≠3}

Step-by-step explanation:

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As per the concept of average, the cost of producing 6,000 units is $79,200.

The average, also known as the mean, is a mathematical representation of a set of data. It is calculated by adding all the values in the set and dividing the result by the number of values in the set.

When it comes to calculating the total amount of direct manufacturing cost incurred when 6,000 units are produced, it is important to use the average cost per unit. To do this, we need to multiply each average cost per unit by the number of units produced.

The total direct manufacturing cost incurred can be calculated as follows:

Direct materials = $5.20 * 6,000 = $31,200

Direct labor = $3.75 * 6,000 = $22,500

Variable manufacturing overhead = $1.65 * 6,000 = $9,900

Fixed manufacturing overhead = $2.60 * 6,000 = $15,600

The total direct manufacturing cost incurred is $79,200.

Complete Question:

Meginnis Corporation's relevant range of activity is 3,000 units to 7,000 units. When it produces and sells $5,000 units, its average costs per unit are as follows:

Average Cost per Unit

Direct materials $5.20

Direct labor $3.75

Variable manufacturing overhead $1.65

Fixed manufacturing overhead $2.60

Fixed selling expense $0.50

Fixed administrative expense $0.40

Sales commissions $1.50

Variable administrative expense $0.50

If 6,000 units are produced, the total amount of direct manufacturing cost incurred is closest to:

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The missing angle measures are:

m∠F = 22 degrees

m∠G = 75 degrees

m∠H = m∠C = 83 degrees

m∠C = 83 degrees

m∠F = m∠A = 22 degrees

m∠G = m∠B = 75 degrees

m∠H = m∠C, since they are corresponding angles, but we still need to find the measure of m∠C.

m∠A + m∠B + m∠C = 180 degrees

22 degrees + 75 degrees + m∠C = 180 degrees

m∠C = 180 degrees - 22 degrees - 75 degrees = 83 degrees

Therefore, the missing angle measures are:

m∠F = 22 degrees

m∠G = 75 degrees

m∠H = m∠C = 83 degrees

m∠C = 83 degrees

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The missing value using concept of similar triangle ratio is; 35

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Using the concept of similar triangles on the given diagram, we have;

p/(30 + 20) = 14/20

p = (14 * 50)/20

p = 35

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The statements which are true about Micah's survey are;

As evident in the task content; Micah wants to know the most common style of surfboard used at Breakers Point.

Hence, it can be inferred that the population of the survey in this context is; all people that surf at Breakers Point.

Also, since Micah only surveys surfers between 8:00 AM and 12:00 PM, it follows that; Micah will not get a representative sample.

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The two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Independent variables are variables that do not depend on anything.

Dependent variables are variables that depend on the independent variables.

The independent variables in the electric bill are as follows:

The two independent variables that could result in a change in a monthly electric bill will be Product physical dimensions and Machine operators' skill level.

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The statement is false. The solution set of a linear system can only be expressed using a parametric equation if the system has at least one solution.

Equation of this sort is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are specified as continuous and independent of other variables functions of the parameter Multiple parameters may be utilized as needed.For example, the following equation can be represented as a pair of equations in parametric form rather than the equation in Cartesian form: Parameterization, It effectively differentiates and integrates curves by converting a function into parametric form.

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Answer:

c

Step-by-step explanation:

c

Answer:

A

Step-by-step explanation:

Answer: The number of speeding tickets issued is represented by x and the number of tickets for failure to obey traffic signals is represented by y. The total number of tickets issued is 130, so we have:

x + y = 130

The total amount of money collected in fines is $8,710.00, so we have:

67x + 67y = 8710

These two equations form a system of linear equations that can be used to determine the number of speeding tickets, x, and the number of tickets for failure to obey traffic signals, y. To solve this system, we can use any of the methods for solving a system of linear equations, such as substitution, elimination, or matrices.

Step-by-step explanation:

The required five million four thousand three hundred in standard form is 5,004,300.

A number system is described as a technique of composing to represent digits. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
In the question, we are asked to write the word of the number five million four thousand three hundred in standard form.
So,
five million four thousand three hundred = 5,004,300
Since

1 million = 1000, 000
1 thousand = 1000
1 hundred = 100

Thus, the required five million four thousand three hundred in standard form is 5,004,300.

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I think its a is one of them, im not completely sure tho

Step-by-step explanation:

Answer:

The shirt costs $21

Step-by-step explanation:

2x + 3y = 127    ....eq 1

Her twin sister Hallie bought 1 pair of jeans and 4 shirts for $116.

So, x + 4y = 116     ....eq 2

Multiplying eq 2 by 2, we get :

2x + 8y = 232     ....eq 3

Subtracting eq 1 by eq 3, we get :

(2x + 8y) - (2x + 3y) = 232 - 127

5y = 105

Thus, y = 21

Putting this value of y in eq 2, we get :

x + 4(21) = 116

x = 116 - 84 = 32

Therefore, the cost of a pair of jeans = x = $32

And the cost of a shirt = $21