This graph represents a transformation of the parent cube root function.

Replace the values of h and k to create the equation of the transformed function.

If the whole number n is such that n * (n+28) is a prime number.  the prime number is 29.

We can start by expanding the expression n × (n+28) to get n^2 + 28n. Notice that n^2 + 28n is a quadratic expression that can be factored as n(n+28). Therefore, if n × (n+28) is a prime number, then n and n+28 must be either 1 and the prime number or the prime number and 1 (since a prime number has only two positive factors, 1 and itself).

If n = 1, then n+28 = 29, and n × (n+28) = 1 × 29 = 29, which is a prime number.

If n+28 = 1, then n = -27, which is not a whole number.

Therefore, the prime number in question is n × (n+28) = 29.

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The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

What is an angle of elevation?

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

There is an angle of elevation from point R to S. Thus point R is lie above S.

The angle of depression from point R to point S is ∠1.

The angle of elevation from point S to point R is ∠2.

∠2 is the angle of elevation from S to R.

∠1 is the angle of depression from point R to point S.

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Answer:

The relationship is additive because the value of y is 6 more than the value of x

Step-by-step explanation:

did the test and there's a plus sign in the equation so y would be 6 more than the value of x

The relationship between x and y in the equation y = x + 6, is Linear relationship, because the value of y can be represented in a straight line.

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Given the equation:

y = x + 6

This is a linear equation.

The slope is 1 and the initial value (y intercept) is 6

Hence, the relationship between x and y in the equation y = x + 6, is Linear relationship.

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$12,960 is the answer I believe

1% of 12,000 is 120

120 times 8 is 960

12,000 plus the tax (960) = 12,960

Answer:

(0,3)

Step-by-step explanation:

15 squares will there be when there are 24 triangles to maintain the ratio.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have 5 squares and 8 Triangles.

let the number of square be x when there is 24 triangles.

using Proportion

5/8 = x / 24

8x = 120

x = 15

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Answer:

It should be OB, process of elimination helps a lot in questions like these

The value of centimeter to inches is converted by the conversion factor of 2.54 so 15 cm is 5.9 inches.

The conversion factor of 0.393701 can be used to change a measurement from centimetres (cm) to inches (in). To find the number of inches, multiply the number of centimetres by 0.393701. In this instance, 11.42 inches are equal to 29 cm multiplied by 0.393701.

It's crucial to remember that this conversion is based on the International System of Units (SI), and it could not be the same in other measurement systems. Also, it is important to remember that centimetres (cm) and inches (in) are units of measurement for length and not for other types of measures like mass, area, or volume.

Use the proper unit of measurement for the activity or the environment; failing to do so could result in mistakes and inaccurate results. Also, it's crucial to ensure that the measurements are taken on the same scale, as doing otherwise could result in inaccurate conversions. While inches are primarily utilised in the United States and the United Kingdom, centimetres are extensively used across the rest of the world.

When determining smaller lengths or widths, such as for clothing or paper size measurements, this conversion is frequently used.

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Answer:

15 over 1

Step-by-step explanation:

no explanation

Answer:

Below

Step-by-step explanation:

8.3 x 10^6     < ==== the + 6   says move the decimal point to the RIGHT

8 300 000.

There are 36 possible outcomes when rolling a pair of number cubes. To find the probability of rolling a sum greater than 10 on both rolls, we can start by listing all the outcomes where the sum of the first roll and second roll is greater than 10:

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

There are 3 ways to get a sum greater than 10. Since we are rolling the pair of number cubes twice, there are a total of 36 x 36 = 1,296 possible outcomes. The probability of rolling a sum greater than 10 on both rolls is therefore 3/1,296, which simplifies to 1/432.

To find the altitude of a triangle given 3 sides, you can use Heron's formula to first calculate the area of the triangle, and then use the formula for altitude to find its height.

Here are the steps to follow,

Calculate the semi-perimeter of the triangle by adding all three sides and dividing the result by 2. Let's call this value "s".

Use Heron's formula to calculate the area of the triangle. Heron's formula is:

area = √(s(s-a)(s-b)(s-c)),

where a, b, and c are the lengths of the three sides of the triangle.

Once you have the area of the triangle, you can use the formula for altitude to find the height. The formula is:

height = 2(area/base),

where base is the length of one of the sides of the triangle.

By following these steps, you can find the altitude of a triangle given 3 sides. Note that this method only works for triangles with all positive sides. If any side is negative or zero, or if the sides don't form a triangle, the method won't work.

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Yes, the ordered pair [1,-5] is a solution of 3x-2y=13. Because when evaluating the ordered pair in the equation it is true.

To determine if an ordered pair is a solution to an equation, we can plug in the values of the ordered pair into the equation and see if the equation is true.

In this case, the ordered pair is [1,-5], which means x=1 and y=-5. We can plug these values into the equation 3x-2y=13 and see if it is true:

3(1) - 2(-5) = 13

3 + 10 = 13

13 = 13

Since the equation is true, the ordered pair [1,-5] is a solution of 3x-2y=13.

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Answer:

yes I know but how should I show u dude

Answer: look at the image for the answer and explanation

Step-by-step explanation:

Answer: To prove that triangles △ABC and △DEF are similar, we would use the AA Similarity Postulate. This postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In other words, if the corresponding angles of two triangles are congruent, then the triangles are similar.

Step-by-step explanation:

Answer:

(a) (300+2x)(4x+40)=8x^2+1280x+12000

(b) 300+2x=360, x=30. Then width = 4*30+40=160. 360*160=57600 ft squared.

Answer:

Step-by-step explanation:

$270 in total

To prove that two triangles △ABC and △DEF are similar, we can use the following theorem:

The Angle-Angle (AA) Similarity Theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Or else, if ∠A ≅ ∠D and ∠B ≅ ∠E, then △ABC ~ △DEF. This theorem relies on the fact that when two angles of one triangle are congruent to two angles of another triangle, the third angle must also be congruent due to the fact that the sum of the angles in a triangle is always 180 degrees. Thus, the triangles must have the same shape and are therefore similar.

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The mean arterial pressure formula is MAP = CO x TPR or MAP = (SBP + 2DBP) / 3.

The mean arterial pressure (MAP) formula is:

MAP = CO x TPR

where:

CO is the cardiac output (how much blood is siphoned by the heart each moment)

TPR is the all-out peripheral resistance (the resistance from the bloodstream in the body's veins)

On the other hand, the mean arterial pressure can also be calculated using the following equation:

MAP = (SBP + 2DBP)/3

where:

SBP is the systolic blood pressure (the highest pressure in the arteries when the heart beats)

DBP is the diastolic blood pressure(the lowest pressure in the arteries when the heart is at rest between beats)

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The value of 103 kg into lbs can be converted by multiplying kilogram by 2.204622  so the answer is 227.07 pounds.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.

The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.

Pounds = kilograms × 2.20462262184878

= 103 x 2.20462262184878

= 227.07 pounds or lbs.

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Answer:

An important step in the process of translation is lexical analysis, which involves identifying and analyzing the individual words in a text. Lexical analysis is used to determine the meaning of words in the context in which they are used, allowing a translator to accurately render the text into the target language. Additionally, lexical analysis is used to identify any potential ambiguities in the text, which can be important for ensuring that the translation is as accurate as possible.

Answer:

Finished

Step-by-step explanation:

-Multiple the exponents together

-keep ×10 the same so you can apply the second law of exponents

-Then divide and subtract the exponents of ×10

-Let the 14.44 and 5.9 divide each other

-Leave it like that because it's standard form

The dot plot of the data values is added as an attachment

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

85,88,75,100,90,90,88,72,72,79,88,85

Next, we create a frequency table

So, we have

Values   Frequency

72             2

75             1

79             1

85            2

88            3

90           2

100          1

Total      12

Using the frequency table above, we create the dot plot

See attachment for the dot plot

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Answer:120

Step-by-step explanation:

Answer:

The length of the other two equal sides is 11.75 yards.

Step-by-step explanation:

Let's call the length of the two equal sides of the rectangular enclosure "x". We know that the total amount of fencing used is 65 yards and that two sides already use 41.50 yards of fencing.

So, we can set up the equation:

2x + 41.50 = 65

To solve for x, we first need to isolate x on one side of the equation. We can start by subtracting 41.50 from both sides:

2x = 23.50

Then, we can divide both sides by 2 to solve for x:

x = 11.75

Therefore, the length of the other two equal sides is 11.75 yards.

Answer:

x = 39

Step-by-step explanation:

We need to solve for the interior angle measure. The sum of a triangle's interior angle measures are 180, so we just have to create an equation and solve for x.

[tex]x+102+39=180[/tex]

Add like terms

[tex]x+141=180[/tex]

Subtract 141 on both sides

[tex]x=39[/tex]

To check our work, we can add the angle measures together to see if they add up to 180.

[tex]39+102+39 = 180[/tex]

The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

5y+b+4

You can decompose the equation 5y+b+4 into the terms 5y, b, and 4.

Coefficients are a type of numerical element that multiply a variable. The term 5y is used to multiply the variable y, so the coefficient is 5. That 5 is a coefficient, as Jake claims, is therefore true.

Constants are numbers with no variables. As 4 contains only a constant and no variables, the answer is 4. Hence, 4 is a constant.

Hence The value of the 5y coefficient is 5 and The constant is 4 in the formula 4.

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To find a radical expression, simplify the expression under the radical symbol by factoring it into perfect squares or cubes.

An extreme articulation is a logarithmic articulation that contains an extreme image, for example, a square root or a 3D shape root. To find an extreme articulation, you really want to improve on the articulation under the extreme image.

Here are the moves toward work on an extreme articulation:

Factor the number under the extreme image into its excellent variables.

Recognize sets of variables that are amazing squares or wonderful blocks.

Change the extreme articulation utilizing these ideal squares or wonderful 3D shapes.

Improve on the subsequent articulation by duplicating or separating terms as required.

In the event that the articulation actually contains an extreme image, rehash the cycle until the articulation is completely streamlined.

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The total of a hexagon's internal angles is 720 degrees.

The internal angles of a hexagon may be calculated using the formula "180 - (360/n)," where n is the number of sides. When you enter 6 for a hexagon, the response is 120 degrees.

We might begin by imagining a hexagon to better comprehend the notion. It is a basic design made up of six distinct straight lines that join to form a closed shape. The internal angles are the angles on the inside of the form.

The above-mentioned formula may be used to compute the internal angles of a hexagon. For each inner angle of a hexagon, the computation yields a value of 120 degrees. Hence the total of a hexagon's internal angles is 720 degrees.

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Answer:

The quadratic equation [tex]2x^2-10x\:+\:27\:=\:-10[/tex] has no real roots

The two complex roots are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

Step-by-step explanation:

There are no real root solutions to this quadratic equation

The quadratic formula for solving an equation of the standard form

[tex]ax^2 + bx + c = 0[/tex]

is given by

[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }[/tex]

The term under the square root is called the discriminant and determines the type number of roots(solutions) to the quadratic

The given quadratic equation is
[tex]2x^2-10x\:+\:27\:=\:-10[/tex]

Add 10 to both sides:
[tex]2x^2-10x\:+\:37\:=0[/tex]

Comparing to the standard form we see
a = 2, b = -10, c = 37

The discriminant is
[tex]b^2 - 4ac = (-10)^2 - 4\cdot2\cdot 37\\= 100 - 296\\= -196[/tex]

Since the discriminant is negative both roots will be comples
[tex]x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\\\x = \dfrac{ -(-10) \pm \sqrt{(-10)^2 - 4(2)(37)}}{ 2(2) }\\\\x = \dfrac{ 10 \pm \sqrt{100 - 296}}{ 4 }\\\\x = \dfrac{ 10 \pm \sqrt{-196}}{ 4 }[/tex]

[tex]\text {To find $\sqrt{-196}$}[/tex]

[tex]\sqrt{-196} = \sqrt{196}\sqrt{-1} =\sqrt{196}\;i[/tex]

where i = [tex]\sqrt{-1}[/tex]

We have

[tex]\sqrt{196} = 14\\\\So\\\\\sqrt{-196} = 14i[/tex]

The solutions are

[tex]x = \dfrac{ 10 \pm 14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 10 }{ 4 } \pm \dfrac{14\, i}{ 4 }[/tex]

[tex]x = \dfrac{ 5}{ 2 } \pm \dfrac{ 7\, i}{ 2 }[/tex]

[tex]x = 2.5 \pm 3.5i[/tex]

The two complex solutions are:

[tex]x = 2.5 + 3.5 \, i\\\\and\\\\x = 2.5 - 3.5 \, i[/tex]

The correct graph is the first one.

Graph is a data structure composed of nodes connected by edges, which represent a relationship between the two notes of are used to represent networks of communication that organized and even extract concept like thought or riders the nodes in the graph are often represent by Circle and it's by line but the other safe of the symbol are also use copper power Bluetooth for a organizing and understanding data and can be used to solve complex problem.

It represents the equation y = 20 + 10x, which means that the gymnast pays a flat fee of $20 for each month plus an additional $10 for each class he attends. Therefore, the graph will show a line going from the point 0, 20 through the point 1, 30.

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