Question 2) A 7-pack of scented candles costs $6.51. What is the unit price?
$45.57
$0.93
$1.07
$0.49

Answer:

First ordered pair: (-4,-3)

Second ordered pair: (8,3)

Step-by-step explanation:

To find the missing coordinate, all we have to do is to plug it into the corresponding variable and solve.

First Ordered Pair

x-2(-3)=2                                   [multiply -2 and -3]

x+6=2                                       [subtract 6 on both sides]

x=-4

(-4,-3)

Second Ordered Pair

8-2y=2                                      [subtract 8 on both sides]

-2y=-6                                       [divide both sides by -2]

y=3

(8,3)

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.

If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.

The possible outcomes when two coins are flipped are;

head - head = HH

tail - tail = TT

Head and tail = HT

Tail and head = TH

The probability of getting two heads = 1/4

If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;

Expected value = (68 flips) x (1/4 probability of getting HH) = 17

The probability of getting two tails = 1/4

Expected value = 68 x 1/4 = 17

Learn more about probability here: https://brainly.com/question/24756209

#SPJ1

Answer:

60%

Step-by-step explanation:

Total Cards = 5

Even Numbers = 3

P(even) = 3/5

In %age:

=> 60%

Answer:

60%

Step-by-step explanation:

The numbers that are even from the list are 2, 4, and 6.

3 numbers are even out of 5 total numbers.

3/5 = 0.6

P(even) = 60%

The statements can be expressed as an inequality are 7 less than the product of 2 and y and x decreased by 2 is less than 7

From the question, we have the following parameters that can be used in our computation:

The list of options

Representing the statements as expressions, we have

Hence, the expressions are 7 less than the product of 2 and y and x decreased by 2 is less than 7

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.

What is the problem?

A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.

The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.

To learn more about a solution, click on the below link:

https://brainly.com/question/4364712

#SPJ1

The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

For similar question on height.

https://brainly.com/question/28122539  

#SPJ8

Answer:

73°

Step-by-step explanation:

This equation uses two supplementary angles. Supplementary angles are two angles that add up to 180 degrees.

The triangle has two angles implied, 30 degrees and (180-137) degrees.

(180 - 137) = 43 degrees

Now that we have two angles inside the triangle, we subtract them from 180 to find the last angle.

180 - 43 - 30 = 107

The angle with a measure of 107 degrees and angle 3 are supplementary

180 - 107 = 73 degrees

Answer:73.4° Fahrenheit.

Step-by-step explanation:

Answer: 129 minutes in total

Step-by-step explanation:

1 2/5 hours in decimal form 1.4 hours

1.4 hours = 84 minutes

84 + 45 = 129 minutes

Answer:

You would have $1552.9 after 10 years.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

You currently have $500 saved up.

This means that \(P = 500\)

12% interest, compounded annually.

This means that \(r = 0.12, n = 1\).

How much money would you have after 10 years?

This is A(10). So

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(A(10) = 500(1 + \frac{0.12}{1})^{10}\)

\(A(10) = 1552.9\)

You would have $1552.9 after 10 years.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

Step-by-step explanation:

The answer is A

Answer:

A.

Step-by-step explanation:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

Learn more about polynomials at: https://brainly.com/question/4142886

#SPJ1

Mason would need to hit the center of the target in 1 of his next consecutive shots to reach his goal of hitting the center of the target on 25% of his attempts.

We have,

We can begin by setting up an expression:

6/36 = x/s

where x is the number of times Mason needs to hit the center of the target and s is the number of attempts he makes to reach his goal.

And,

6/36 = x/s

1/6 = x/s

We know that Mason wants to hit the center of the target on 25% of his attempts.

This means he wants x to be equal to 25% of s:

x = 0.25s

We can substitute this expression for x.

1/6 = 0.25s/s

1/6 = 0.25

s = (1/6) / 0.25

s = 0.666...

s ≈ 1

Thus,

Mason would need to hit the center of the target in 1 of his next consecutive shots to reach his goal of hitting the center of the target on 25% of his attempts.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

Let z=a+bi, w=c+di

\(|z+w|^2 -|z-w|^2 \\ \\ = |(a+c)+i(b+d)|^2 -|(a-c)^2 +i(b-d)|^2\\\\=(a+c)^2 +(b+d)^2-(a-c)^2 -(b-d)^2\\\\=a^2 +2ac+c^2 +b^2 +2bd+d^2 -a^2 +2ac-c^2 -b^2+2bd-d^2\\\\=4ac+4bd\\\\=4Re(z)Re(w)+4Im(z)Im(w)\)

Using translation concepts, the vertices of the triangle after the rotation are given as follows:

G'(2,-2), E'(5,-4), F'(5,-1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a 90º counterclockwise rotation around the origin is:

(x,y) -> (-y,x).

Hence the vertices should be given by:

The correct translation is graphed at the end of the question. You are doing a good job, just there was two small mistakes on the rule :).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

for more such question on quadratic visit

https://brainly.com/question/1214333

#SPJ8

Answer:

sure just bring the question and it will be answered

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

learn more on angles here: brainly.com/question/18854964

#SPJ1

The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

Learn more about bisecting of angles on https://brainly.com/question/23984603

#SPJ1

Answer:

  √130 > 11.1 > √121 > π²

Step-by-step explanation:

For the purposes of ordering numbers written in different forms, it is often helpful to convert them to the same form.

Given the availability of calculators that display their results in decimal, it is convenient to use one to write these values to an appropriate precision.

  √121 = 11.0

  π² ≈ 9.9

  11.1 = 11.1

  √130 ≈ 11.4

Using the usual method of comparing decimal values, we find the decreasing order to be ...

  11.4 > 11.1 > 11.0 > 9.9

  √130 > 11.1 > √121 > π²

Answer:

Dilate, Reflect

Not congruent, dilations are used

Step-by-step explanation:

Dilate the figure by a scale factor of 1/3

Reflecting the resulting shape will map the figure

Step 1: Dilate by 1/3

Step 2: Reflect over the y-axis

Since dilations are used, the figures are not the same, as it changes area and side lengths.

-Chetan K

The lowest term of the fraction 9/24 is 3/8.

To find the lowest term of a fraction, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In the case of 9/24, we can see that both numbers are divisible by 3. By dividing both 9 and 24 by 3, we get the simplified fraction 3/8.

Simplifying fractions to their lowest terms is important because it gives us the simplest and most compact representation of the ratio between the numerator and the denominator. It provides a clearer understanding of the relationship between the parts of the fraction.

In this example, by simplifying 9/24 to 3/8, we can see that the fraction represents a ratio of 3 parts to 8 parts, indicating that for every 3 units, there are 8 units. This simplified form allows for easier comparisons and calculations.

It's worth noting that simplifying fractions is not just about dividing by the GCD. It involves finding the common factors and dividing them out until no further simplification is possible. This process ensures that the fraction is in its lowest terms, providing a more concise and meaningful representation.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ1

To solve this problem, we need to use vector addition to find the resultant velocity of Julia.

Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.

The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.

The velocity of the river is 3 km/hr in the negative y-axis direction.

To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.

Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:

|V| = √(Vx² + Vy²)

where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.

Vx = 8 km/hr

Vy = -3 km/hr

|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr

The direction of the resultant velocity can be calculated as:

θ = tan⁻¹(Vy / Vx)

θ = tan⁻¹(-3 / 8) = -20.56°

The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).

Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).

Answer:

  4

Step-by-step explanation:

You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.

Let k represent the factor by which f(x) increases when x increases by 1. This means ...

  f(2) = k·f(1)

  f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)

  64 = k²·4

  k² = 64/4 = 16

  k = √16 = 4

The output value increases by a factor of 4 as the input value increases by 1.

__

Additional comment

The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.

Answer:

22/35

Step-by-step explanation:

Simplify the following:

((1 + 4/7)×2)/5

((1 + 4/7)×2)/5 = ((1 + 4/7)×2)/5:

((1 + 4/7)×2)/5

Put 1 + 4/7 over the common denominator 7. 1 + 4/7 = 7/7 + 4/7:

((7/7 + 4/7) 2)/5

7/7 + 4/7 = (7 + 4)/7:

(((7 + 4)/7)×2)/5

7 + 4 = 11:

(11/7×2)/5

11/7×2 = (11×2)/7:

((11×2)/7)/5

((11×2)/7)/5 = (11×2)/(7×5):

(11×2)/(7×5)

7×5 = 35:

(11×2)/35

11×2 = 22:

Answer: 22/35

The number that makes the equation true is 5

From the question, we are to determine the number that makes the equation true

From the given information,

The given equation is

10 = ____ × 2

Let the number that makes the equation true be x

Thus,

10 = x × 2

Solve the equation for x

10 = x × 2

Divide both sides by 2

10/2 = (x × 2)/2

5 = x

Therefore, x = 5

Hence, the number is 5

Learn more on Solving linear equations here: https://brainly.com/question/27882730

#SPJ1

Answer:

put one line straight across to make a square and isosceles trapezoid and then put a line to make a triangle on top of the square diagonally to make a triangle and a quadrilateral then put put a line diagonally in the square to make two triangles.  

Step-by-step explanation:

done.

The ways to prove triangles are similar are SSS rule, SAS rule, ASA rule and AAS rule

The rules of congruence of triangle are
SSS rule : If three sides of the triangle is equal to the three sides of another triangle, both triangles are congruent

SAS rule : If two sides and one included angle of one triangle is equal to the two sides and one included angle of another triangle, then both triangles are congruent

ASA rule : If two angles and one includes side of one triangle is equal to the two angles and one included side of another triangle, then both triangles are congruent

AAS rule : If two angles and one non-included sides of one triangle is equal to the two angles and one non-included side of another triangle, then both triangles are congruent

Therefore, theses are the rules of congruence of the triangle

Learn more congruence of triangle here

brainly.com/question/20521780

#SPJ4