Write a function rule for the statement.



the output is eight less than the input

Answer:

1. b

2. d

3. c

4. a

5. f

6. e

Step-by-step explanation:

Answer:

Transitive property

Step-by-step explanation:

It statea that if a=b and b=c, then a=c.

Your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal from linear equation concept.

For your vacation at the beach, you have already spent $160 on groceries for the week. In addition, you anticipate spending $40 each time you eat out.

To determine your overall budget for the vacation, you need to consider how many times you plan to eat out during the week. Let's say you plan to eat out 'x' number of times.

Since each time you eat out costs $40, the total amount spent on eating out can be represented by the equation:

Total spent on eating out = $40 * x

Adding this to the amount spent on groceries, the total vacation budget can be calculated as:

Total budget = Amount spent on groceries + Total spent on eating out

Total budget = $160 + ($40 * x)

For example, if you plan to eat out 3 times during the week, the calculation would be:

Total budget = $160 + ($40 * 3)

Total budget = $160 + $120

Total budget = $280

In this case, your total vacation budget would be $280, considering the $160 spent on groceries and the estimated cost of eating out 3 times at $40 per meal.

The total budget will vary depending on the number of times you plan to eat out. By adjusting the value of 'x', you can calculate the specific total budget for your vacation.

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The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²

The 8 laws of exponents can be listed as follows:

Zero Exponent Law: a^(0) = 1.

Identity Exponent Law: a^(1) = a.

Product Law: a^m × a^n = a^(m+n)

Quotient Law: a^m/a^n = a^(m - n)

Negative Exponents Law: a^(-m) = 1/a^(m)

Power of a Power: (a^m)^n = a^(mn)

Power of a Product: (ab)^m = a^m*b^m

Power of a Quotient: (a/b)^m = a^m/b^m

We are given the algebra expression as:

⁴√81x³y⁴z⁸

This gives us:

81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)

= 3x^(3/4)yz²

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if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.

What is a rectangle?

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees. Area of rectangle is A = a*b

The perimeter of a rectangle is the sum of the lengths of all four sides. The original rectangle has dimensions 3 cm by 5 cm, so its perimeter is:

P = 2(3 cm + 5 cm) = 16 cm

Now let's consider the effects of the changes to the dimensions:

If the width is doubled, the new dimensions are 3 cm by 2(5 cm) = 10 cm. The new perimeter is:

P' = 2(3 cm + 10 cm) = 26 cm

The perimeter is increased by 10 cm.

If the length is doubled and both the width and length are doubled, the new dimensions are 2(3 cm) = 6 cm by 2(5 cm) = 10 cm. The new perimeter is:

P'' = 2(6 cm + 10 cm) = 32 cm

The perimeter is increased by 16 cm.

Therefore, if the width is doubled, the perimeter increases by 10 cm, and if both the length and width are doubled, the perimeter increases by 16 cm.

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9514 1404 393

Explanation:

RS ≅ RU . . . given

RT ≅ RT . . . reflexive property

TS ≅ TU . . . definition of midpoint

ΔRTS ≅ ΔRTU . . . SSS postulate

Answer: 25

Step-by-step explanation: He scored 25 in the game

Answer:

4 units

Step-by-step explanation:

see attachment for the missing figure.

to find the value of AY or x

We'll use intersecting chord theorem i.e  the product of line segment of each chord are equal.

From the figure, we can say that:

BY x YD = AY x YC

\(BY \times YD = AY \times YC\\3\times 8=x\times 6\\24=6x\\x=\frac{24}{6}\\x=4\)

Therefore,  AY = 4 units

Answer:

4 units

Step-by-step explanation:

We'll use intersecting chord theorem i.e  the product of line segment of each chord are equal.

From the figure, we can say that:

BY x YD = AY x YC

so the answer is 4 units

hope this helps

p.s the guy above mine deserves brainliest

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

The original slope's reciprocal will be the opposite of the perpendicular slope. To determine the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

The values of the slope and y-intercept provide details on the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the slope of the line in our equation, y = 6x + 2, is 6.

The slope is m and the y-intercept is b in the equation y=mx+b in slope-intercept form. Some equations can also be rewritten so that they resemble slope-intercept form. For instance, y=x can be written as y=1x+0, resulting in a slope and y-intercept of 1 and 0, respectively.

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Kοdy sοlved the prοblem 2m² = and gοt answers οf 0 and. Yes he was cοrrect.

a mathematical statement that asserts the equality οf twο expressiοns is called equatiοn.

It typically cοnsists οf variables and cοnstants and mathematical οperatοrs such as additiοn, subtractiοn, divisiοn and multiplicatiοn is used tο describe relatiοnships between quantities in science and mathematics .

Equatiοns are οften written with an equal sign (=) between the twο expressiοns. It is indicating that the expressiοns οn either side οf the equal sign have the same value.

Here given Kοdy sοlved the equatiοn m² = 0 and fοund the sοlutiοns οf m = 0

Tο verify this, we can substitute each οf the sοlutiοns back intο the οriginal equatiοn and see if it satisfies the equatiοn.

When m = 0, we have m² = 0² = 0

Sο m = 0 is a valid sοlutiοn.

Therefοre, Kοdy is cοrrect that the sοlutiοns tο the equatiοn m² = 0 are m = 0 .

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Correct question is

"Kody solved the problem 2, m² = 0 and got answers of 0 and. Was he correct? Explain your reasoning."

F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.

To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.

From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.

The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.

Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.

Therefore, the value of F(3) is 9. Option D is correct.

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In order to be correct, a line graph of the number of marriages per year in the United States must have years on the

horizontal scale.

It is defined as the process of adding more instances of the same type to the existing pool of resources and not

increasing the capacity of existing resources like in vertical scaling. This kind of scaling also helps in decreasing the

load on the server. This is called Horizontal Scaling

This allows for a clear representation of the number of marriages over time. To create such a graph, follow these steps:

1. Label the horizontal axis with years, making sure to use equal intervals between each year.

2. Label the vertical axis with the number of marriages.

3. Plot the data points for each year, representing the number of marriages.

4. Connect the data points with a line to show the trend over time.

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Answer:

5 magdalenas

Step-by-step explanation:

Ya que vamos a estimar la cantidad de magdalenas que sobraron en la fábrica de María Magdalena. Debemos razonar como sigue.

Dado que hay el doble de magdalenas producidos en Maria Magdelena en comparación con el número producido en Font Magdelena y los magdalenas de la primera se empaquetan en dos docenas, se deduce que el número de magdalenas que quedan en Maria Magdelena sigue siendo 5 porque el número de magdalenas y el número envasado aumentó exactamente en la misma cantidad.

Answer:

3

Step-by-step explanation:

Since we already know c, so we need to find b.

c² = a² + b²

5² = 4² + b²

b² = 5² - 4²

b² = 25 - 16

b² = 9

b = 3

Answer:

y = -64

Step-by-step explanation:

y / -8 = 8

y = -64

Answer:

y= -64

Step-by-step explanation:

I don't understand the question but

y/-8 = 8

y = 8×-8

y = -64

Answer:

Using the law of sines ,measure of a is 66 m.

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = \(\pi r^2h\) (where r is the radius and h is the height)

Radius = \(\dfrac12\) diameter ⇒ \(r=\dfrac72=3.5\)

⇒ volume of round cake pan = \(\pi \times 3.5^2 \times 2=24.5\pi\)

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = \(wlh\) (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

A null hypothesis, which is used as the starting point for testing a hypothesis, states that there is no link between two measurable occurrences. An experiment's design uses an experimental hypothesis, which is a claim that specifies the relationship between two measurable events.

A claim or hypothesis known as a null hypothesis implies that no statistical significance can be found in a particular collection of observations. It is typically employed in statistical tests to ascertain if an experiment's outcomes are the result of chance or an underlying factor.

An experimental hypothesis is a claim that suggests a potential explanation for a phenomenon that has been observed or makes a prediction about how an experiment might turn out. It is typically used in experiments to make predictions about what the experiment will reveal.

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Value of cot690° is -√3 .

Given,

The circular measure of the angle is given as 690° .

Thus according to trigonometric ratios ,

Cot (690)

Further simplifying cot (690) in the known range of angles .

Then,

cot(690) = cot(720 - 30)

cot (720 - 30) = cot (-30)

cot(-30) = -√3

Hence the value of cot 690 will be -1.73 .

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Answer:

333

Step-by-step explanation:

1/3x5= 1.66

Answer:

333

Step-by-step explanation:

i need points lol

Answer:

364 messages

Step-by-step explanation:

The king uses 14 flags in all and arranged 3 at a time to send a code to his general. The number of coded messages that can be sent by the king can be determined by;

Total number of colored flags = 14

Number of flags arranged per time = 3

So that,

\(^{14} C_{3}\) = \(\frac{14!}{(14 - 3)!3!}\)

       = \(\frac{14!}{11!3!}\)

       = \(\frac{14*13*12*11!}{11!3!}\)

       = \(\frac{14*13*12*11!}{11!3*2!}\)

       = 364

\(^{14} C_{3}\) = 364

The number of coded messages that can be sent by the king is 364.

The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

To express a point given in Cartesian coordinates (x, y, and z) in cylindrical coordinates (r,, and z), we need to use some trigonometry. Here's how it works:
First, we need to find the distance from the origin to the point in question. This distance is given by the formula:
r = sqrt(x2 + y2)
where sqrt() means "square root" and 2 means "squared". So we take the square of the x-coordinate, add it to the square of the y-coordinate, and then take the square root of the result. This gives us the distance from the origin to the point in the x-y plane.
Next, we need to find the angle that the point makes with the positive x-axis. This angle is given by the formula:
= arctan(y/x)
where arctan() means "inverse tangent." This formula gives us the angle in radians (not degrees) between the positive x-axis and the line from the origin to the point. Note that we need to be careful about the signs of x and y when using this formula since arctan() can only give us angles between -pi/2 and pi/2 (i.e., the first and fourth quadrants).
Finally, we just need to use the z-coordinate of the point as the third coordinate in our cylindrical coordinates. So our final answer is: (r, θ, z) = (sqrt(x2 + y2), arctan(y/x), z)

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Therefore, the point (3,4,5) in Cartesian coordinates can be expressed in cylindrical coordinates as (5,0.93,5), where r = 5, θ ≈ 0.93 radians, and z = 5.

Sure, I can definitely help you with that! To express a point given in Cartesian coordinates (x,y,z) in cylindrical coordinates (r,θ,z), we use the following formulas:

r = √(x^2 + y^2)
θ = arctan(y/x)
z = z

So, if we have a point (x,y,z) in Cartesian coordinates, we can convert it to cylindrical coordinates using these formulas. For example, let's say we have the point (3,4,5) in Cartesian coordinates. To express this point in cylindrical coordinates, we first find r, θ, and z using the formulas above:

r = √(3^2 + 4^2) = √25 = 5
θ = arctan(4/3) ≈ 0.93 radians
z = 5


I hope this helps! Let me know if you have any further questions or if you need me to explain anything in more detail.

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Answer: -1/4

Step-by-step explanation:

Answer:

slope i.e. m is equal to 3/5

Step-by-step explanation:

Use equation y = mx+c where m is slope and c is y intercept i.e. the line of the equation intersect the y axis at a point from the origin . Y intercept can be on +ve y axis and -ve y axis . Here, in your question c is zero as we see and m is 3/5 as we see .

Thanks .

I hope it will help you.

Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

Substitute the given values into the expression

2 ( \(\frac{1}{16}\) + (\(\frac{1}{4}\) )² ) + 5(\(\frac{1}{2}\) )

= 2 ( \(\frac{1}{16}\) + \(\frac{1}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{2}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{1}{8}\) ) + \(\frac{5}{2}\)

= \(\frac{1}{4}\) + \(\frac{10}{4}\)

= \(\frac{11}{4}\)

= 2 \(\frac{3}{4}\)

The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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