What is the scale factor used to dilate JA?

Answer: The missing side length is 14.4

Also could you mark my answer as brainliest? It helps and doesnt hurt you

The factored form of the given equation as calculated from the data is found to be as 3x( x -2 )  , and on further solving we get the roots of the equation to be as x- 0 and 2.

The expression given is 3x²- 6x, in order to get it's factored form we will factorize this expression ,

Let ,  3x²- 6x =0

therefore,

3x( x -2 ) = 0

which means,

3x = 0 and x - 2 = 0

hence ,

x = 0 and x = 2.

A statement that supports the equality of two expressions and is equated using the equals sign "=" is called as an equation.

For instance,  3x²- 6x = 13 , here  3x²- 6x and 13 are expressions which are separated by the "=" is the sign that connects these two expressions.

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24% for incomes over $89,075 ($178,150); 22% for incomes over $41,775 ($83,550); and 12% for incomes over $10,275 ($20,550).

A branch of mathematics called probability theory determines the likelihood that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain occurrence relative to all possible outcomes.

given

When married couples file jointly, the tax rate is 32% for incomes over $170,050 ($340,100);

24% for incomes over $89,075 ($178,150); 22% for incomes over $41,775 ($83,550); and 12% for incomes over $10,275 ($20,550).

Salary, earnings, tips, bonuses, and employer-provided perks are typical examples of taxable income.

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Answer: I dont think so

Answer:

x = 11

Step-by-step explanation:

2(2x-15)=2x-8

4x - 30 = 2x - 8

2x - 30 = - 8

2x = 22

x = 11

Let's check

2(2(11)-15) = 2(11)-8

2( 22 - 15) = 22 - 8

2(7) = 14

14 = 14

So, x = 11 is the correct answer.

Answer: (4, 3)

Step-by-step explanation: Keep the x value same, and negate the y value.

Option C) For the given input the value of f(3) for the function is 25.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

The whole range of independent variable values is the domain of a function. This concept may be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

A function's range can be used to describe one of two related ideas: The function's codomain a representation of the action A binary relation f between two sets X and Y is a function if there is precisely one y in Y such that f connects x to y for every x in X.

The function is

f(x) = (x +2)²

so f(3) = (3 + 2)² = 5² = 25

for x = 6

f(x) = f(6) = (6+ 2)² = 8² = 64

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Stool samples for testing for parasitic infections should ideally be collected within a few days of hospitalization.

The exact time frame may vary depending on the specific parasitic infection being tested for and the laboratory performing the test.

It is best to consult with the laboratory or a healthcare professional for guidance on when to collect and submit the sample for testing.

Stool samples should be collected within a few days of hospitalization to test for parasitic infections. Exact time frames may vary; consult a healthcare professional or laboratory for guidance.

It's important to note that some parasitic infections may have a longer incubation period before they can be detected in a stool sample, so collecting the sample within a few days of hospitalization may not always be sufficient. Additionally, some parasitic infections may not produce symptoms right away, making it even more difficult to determine the appropriate time to collect a stool sample.

In these cases, it may be necessary to collect multiple samples over a period of time in order to increase the chances of detecting the infection.

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Exponential expression → exponential function

9ˣ → y = 9ˣ

(3/4)ˣ → y = (3/4)ˣ

6ˣ → y = 6ˣ

bˣ → y = bˣ

An exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given,

Exponential expressions to exponential function

3⁵ : f(x)= 3⁵

(1/4)ˣ : y = (1/4)ˣ

By the above pattern

Exponential expressions to exponential function

9ˣ : y = 9ˣ

(3/4)ˣ : y = (3/4)ˣ

6ˣ : y = 6ˣ

bˣ : y = bˣ

Hence, y = 9ˣ, y = (3/4)ˣ, y = 6ˣ and y = bˣ are the functions for expression

9ˣ, (3/4)ˣ, 6ˣ and bˣ  respectively.

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Jamar can expect that about 70.3% of his commutes will be between 13 and 26 minutes, to the nearest tenth.

To solve this problem, we need to use the standard normal distribution table and convert the given time range into standard units using the z-score formula. Z = (x - mean) / standard deviation.

For the lower limit of 13 minutes, z = (13 - 23) / 5 = -2.

For the upper limit of 26 minutes, z = (26 - 23) / 5 = 0.6.

Looking up these z-scores in the standard normal distribution table, we can see that the area under the curve between -2 and 0.6 is approximately 70.3%.

Therefore, Jamar can expect that about 70.3% of his commutes will be between 13 and 26 minutes, to the nearest tenth.

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Answer:

A

Step-by-step explanation:

- 11/8 + (-11/4) = - 11/8 - 11/4 the answer will be negative

-11/8 - (-11/4) = -11/8 + 11/4 the answer will be positive because 11/4 is greater than 11/8

-11/8 × -11/4 = +.. the answer wil be positive... - × - = +

The corrected equation is 11 = x2 - x - 1.

An equation is a mathematical expression that states the equality of two things by showing the relationship between them. Equations are used to solve a variety of problems in science, engineering, and economics. In mathematics, an equation typically consists of an equal sign and two or more terms that are related by operations such as addition, subtraction, multiplication, and division.
The mistake in the equation is that the 12x should be multiplied by 3, not added, so the corrected equation is:

3(12x) = x 8(x - 1)
3(12x) = 8x(x - 1)
36x = 8x2 - 8x
28x = 8x2 - 8
-8x = 8x2 - 8
0 = 8x2 - 8x - 8
0 = 8x (x - 1) - 8
0 = 8 (x2 - x - 1)
11 = x2 - x - 1

The corrected equation is 11 = x2 - x - 1.

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The medication would you choose to take will be mean value of relieving headaches of 65% and the standard error of the mean was 2%.

The huge standard error of the mean means that A will undoubtedly be much riskier. A could very likely relieve your headache, but it could also very unlike to do so because of this large standard error of the mean. Therefore, in an extremely urgent situation, option B would likely be the safer choice because you're more likely to be very close to that 65 percent rate, which is fairly reliable.

There are various mean types in mathematics, particularly in statistics. Each mean helps to summarize a certain set of data, frequently to help determine the overall significance of a specific data set.

The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.

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The first step is multiplying the divisor with 4x^2.

The given polynomial is 8x^3 - x^2 + 6x + 7.

The first step of the given division problem is to choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial.

(2x)(4x^2) = 8x^3

Thus, we multiply the divisor (2x-1) by 4x^2 which gives 8x^3 - 4x^2.

Now we subtract this from the polynomial which gives 3x^2 + 6x +7.

Next we multiply the divisor by 3/2x which gives 3x^2 - 3/2x. Again we subtract the same from the remaining polynomial 3x^2 + 6x +7 and get 15/2x + 7.

Repeating the same we multiply the divisor by 15/4 which gives 15/2x - 15/2. Subtracting the same from the remaining polynomial 15/2x + 7 we get the remainder 43/4.

Thus, the quotient is 4x^2 + 3/2x + 15/4.

The question is incomplete, the complete question is:

What is the first step of the following division problem ?( 8x^3 - x^2 + 6x + 7) ÷ (2x-1)?

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As per the concept of simple interest the amount earned after 8 years is $3,472.00

Here we have given that Lillian deposits $1,600 in an account at Excellence Bank.

While we looking into the given question, we have identified the values of the following,

Amount invested = $1,600

Time period = 18 years

Interest rate = 6.5%

Then the total amount is calculated as,

Here we have to converting R percent to r a decimal

=> r = R/100 = 6.5%/100 = 0.065 per year.

Now, we have to solve our equation

=> A = 1600(1 + (0.065 × 18)) = 3472

=> A = $3,472.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $1,600.00 at a rate of 6.5% per year for 18 years is $3,472.00.

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A possible base and height dimension for the parallelogram is 20 units and 5 units.

To find the possible base and height dimension, you can use the information provided in the problem: the area of the parallelogram is 100 square units and the perimeter is between 40 and 60 units. Since the area of a parallelogram is base times height, you know that one dimension of the base must be 20 units and the other dimension of the height must be 5 units. Then the perimeter will be 50 units 2*(20+5) which is within the range given in the problem. Keep in mind that there could be other possible solutions, but this is one of them.

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There is only one equilateral triangle possible for the given side length.

What is equilateral triangles?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

Given: The side length of triangle = 7 centimeters.

We know that a equilateral triangle is a triangle in which all three sides and internal angles are equal.  

So if it is given that the side length of triangle is 7 cm, then side-lengths of all the side of the triangle will be 7 cm.

Suppose there is another equilateral triangle having same side lengths, then that triangle will be congruent to the given triangle by SSS congruency criteria.

Hence, there is only one equilateral triangle possible for the given side length.

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The equation that can be used to find the total area of the figure is 168 = (18)(3x) + (6)(x).

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The given figure can be divided into two segments.

A rectangle having the dimensions of length = 12 and width = 3x, and second rectangle with the dimensions of length = (18 - 12) = 6 and width = x.

The area of the figure is:

A = Area of segment 1 + area of segment 2

168 = (18)(3x) + (6)(x)

Hence, the equation that can be used to find the total area of the figure is 168 = (18)(3x) + (6)(x).

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Answer:

201=21 x X + 16 x 3X

Step-by-step explanation:

The complete table of values is as follows

60   π/3   √3/2    1/2   √3   2√3/3   2  √3/3

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

tan(angle) = √3

The tangent of the angle that gives √3 is

tan(60 degrees)

This means that the angle in degrees is 60 and in radians is π/3

When the angles are then calculated, we have

sin(60) = √3/2    

cos(60) = 1/2

tan(60) = √3

cosec(60) = 2√3/3

sec(60) =  2

cot(60) =√3/3

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The statement that indicates that the triangles are congruent is option C. ΔDCE ≅ ΔDQR

When two or more triangles have equal length of sides or measure of internal angles, then they are said to be congruent. Therefore on comparing their corresponding sides and corresponding measure of internal angles, there are equal.

Comparing the corresponding angles of the given triangles in the question, we have;

i. m<C ≅ m<Q                  (alternate angle property)

ii. m<E ≅ m<R                  (alternate angle property)

iii. m<D = m<D                 (vertically opposite angle property)

Thus, it can be deduced that the two triangles are congruent.

i.e. ΔDCE ≅ ΔDQR

Therefore, the statement that indicates that the triangles are congruent is that of option C. ΔDCE ≅ ΔDQR

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Answer:

  A. Discrete

Step-by-step explanation:

You want to know the sort of domain (discrete, continuous) of the equation 2x +3y = 24, or y = -2/3x +8, when x and y are numbers of hot dogs and hamburgers, respectively.

A set is described as "discrete" if it consist of particular values, and those only. Here, the numbers describing the numbers of hot dogs and hamburgers will be whole numbers. Fractions and irrational numbers are not allowed. (You cannot purchase √2 hot dogs, for example.)

That means the domain of this equation is "discrete."

If fractions and irrational numbers are allowed in a given expression or formula, the domain is "continuous." Lengths of string, for example, tend to be values that do not fall into a specific set of values. ("Nominal" length may be discrete (50', 100', and so on), but actual length likely will not be, especially when one considers that it stretches.)

__

Additional comment

Quantum physics seems to be telling us that many things in the universe are quantized (discrete) at the lowest levels. In the practical world, the effect of numerous quantized values added together has the effect of making any particular measurement appear to be continuous.

Answer:

y-6x=0 or y = 6x

Step-by-step explanation:

To find the slope of the second line, we can use the formula:

[tex]m_{2}=\frac{-1}{m_{1} }[/tex], where m2 is the slope of the second line (unknown) and m1 is the slope of the first line (given/known)

Currently the line x + 6y = 6 is in standard form and we can convert it to slope-intercept form (y = mx + b) to find the slope:

[tex]x+6y=6\\6y=6-x\\y=\frac{6-x}{6}\\ y=1-1/6x[/tex]

Thus, the slope of first line (m1) is -1/6.

Now we can use this value to find the slope of the second line (m2):

[tex]m_{2}=-1/(-1/6)\\ m_{2}=6[/tex]

Since we found the slope, now we must find the y-intercept of the line by plugging in the slope and the point we're given:

[tex]-6=6(-1)+b\\-6=-6+b\\0=b[/tex]

Thus, the equation of the line in slope intercept form is y = 6x

To convert it to standard form like the first line, we simply subtract 6x to get

y-6x = 0

A) Evaluate f(0)

f(0) = 3*0 - 6 = 0 - 6 = -6

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

B) Evaluate f(2)

f(2) = 3*2 - 6 = 6 - 6 = 0

C) Evaluate f(-2)

f(-2) = 3*(-2) - 6 = -6 - 6 = -12

D) Evaluate f(1)

f(1) = 3*1 - 6 = 3 - 6 = -3

E) Evaluate f(-4)

f(-4) = 3*(-4) - 6 = -12 - 6 = -18

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The reasons why we factor all the polynomials before multiplying rational expressions is;

To reduce a rational expression to its simplest form.

To ensure that the denominators are not 0.

A polynomial expression is defined as an expression having one or more terms in which the variable has non-negative integer powers.

We know that rational expressions usually have a polynomial numerator and a polynomial denominator. Now, in many events, these polynomials can be factored. Therefore, we can conclude that to reduce a rational expression to its simplest form, we have to factor the numerator and denominator, and cancel out any common factors between them. That's the reason why factoring is an important part of simplifying a rational expression.

Finally, we have to mindful about the values the final denominator of a rational expression can take, because such values must not be 0.

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Elena was running at 2.5 miles per hour

Form the question it can be deduced that the the running track is 1/4 mile long . this is equivalent to 0.25 mile.

A lap of a mile is equivalent to a quarter of a mile which is same as 1/4 mile or 0.25 mile

Hence we can solve the number of miles per hour using the formula

= number of miles covered by Elena / time take to complete the mileage

= 0.25 miles / 1/10

= 2.5 miles per hour

Hence Elena was running at 2.5 miles per hour

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For the measures of these angles to be integral, (n-2) times 180 must be divisible by n.

An n-sided regular polygon has interior angles that measure (n-2) times 180 degrees divided by n. This means that n must be a divisor of (n-2) times 180, or that n must be a divisor of 180. The only positive integers that divide 180 are 1, 2, 3, 4, 5, 6, 9, 10, 15, 18, 30, and 180.

So the only values of n for which an n-sided regular polygon has interior angles with integral measures are 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, and 20.

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3x - y = -3 The substitution-based system's answer is (5, 12)

We have been given that

3x - y = 3 and

y = 2x + 2

Substitute y = 2x + 2 in the first equation, we get,

3x - (2x + 2) = 3

3x - 2x - 2 = 3

x - 2 = 3

Then we get,

x = 5

y = 2x + 2

= 2(5) + 2

= 12

Hence, the solution is (5, 12).

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Answer: The domain of a graph is the set of all the possible input values (x-values) for which the function is defined. The domain is the set of all x-values that can be plugged into the function without resulting in an error or undefined value.

Without a function to graph, it is impossible to determine the domain. The options you provided refers to different inequalities that could represent the domain but without a function it is impossible to know which one is correct.

Step-by-step explanation:

Answer:  2 ≤ x ≤ 5

Step-by-step explanation:

i just took the quiz

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next term is obtained by adding 13 to the preceding term in the series. To put it another way, a n = a 1 + d (n - 1) This is the arithmetic sequence's formula.

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k. In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

A sequence of the form a, a + d, a + 2d, a + 3d, a + 4d, etc. is an arithmetic sequence. The common difference of the sequence is d, and the number an is the first term. An = a + (n - 1)d gives the nth term of an arithmetic series.

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The markup percentage is 25% for the example shown below.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Assume Initial value = 40

Final value = 50

The markup value.

= 50 - 40

= 10

Now,

The percentage of the markup value.

= Markup value / Initial value x 100

= 10/40 x 100

= 25%

Thus,

The markup percentage is 25%.

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