Which of these expressions is equivalent to 5.8 ÷ 1.15 ?
0.58÷115 5.8÷115 58÷115 580÷115

Answer:

The equation of direct variation relates two variables that vary proportionally to each other, and can be written as y = kx, where k is the constant of proportionality. To find k, we can plug in the values of x and y given in the problem and solve for k:

y = kx

14 = k(11)

k = 14/11

Now that we know k, we can write the equation of direct variation as:

y = (14/11)x

Therefore, when x = 11 and y = 14, the equation of direct variation is y = (14/11)(11) = 14.

Answer:

The answer is 384.

Step-by-step explanation:

To find the surface area use this formula,

A = 6a² = 6 · 8² = 384

A changelog is a record of changes made to a dataset during the data cleaning process.

It can serve as a helpful reference for data analysts and other stakeholders to understand the changes that were made and the reasons why they were made. It is important for data analysts to keep a detailed changelog in order to learn from their mistakes and to provide a detailed audit trail for any future questions about the data.

The formula for calculating the value of a changelog is as follows:

changelog= Number of Changes Made + Complexity of Changes + Accuracy of Changes

The number of changes made to the data set is an important factor in calculating the changelog value. The more changes that are made, the more valuable the changelog will be. The complexity of the changes is also important. If the changes are complex and require a lot of effort to make, the changelog will be more valuable. Finally, the accuracy of the changes is also a factor. If the changes are accurate and correct, then the changelog will be more valuable.

Overall, a changelog is a valuable tool for data analysts to keep a detailed record of the changes they make to a dataset. This record can be used to ensure accuracy and to provide a detailed audit trail for any questions that may arise in the future.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

He enlarged the photo by 4.4 times than the original size.

Step-by-step explanation:

22/5=4.4

4.4*4=17.6

4.4*5=22

The shape which has parallel lines and at least one acute angle is; Choice C.

From definition, an acute angle is one whose angle measure is less than 90⁰.

Additionally, parallel lines are lines which can never intersect one another.

Therefore, from the definitions above, it follows that the required shape is; Choice C.

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In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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The length of the triangular border on the front of the roof is 8.2 feet.

A triangle is a three-sided polygon with three edges and three vertices. The sum of angles in a triangle is 180 degrees. An isosceles triangle has two opposite sides that are equal. An isosceles triangle has two angles that are of equal sizes.

The length of the triangular border can be determined by calculating the perimeter of the triangle. The perimeter of a triangle is the sum of the side lengths of the triangle.

The length of the triangular border = 4 feet + 2.1 feet + 2.1 feet = 8.2 feet

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The meaning of the absolute value in this problem is given as follows:

The temperature decreased 1.2 degrees.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The number for this problem is -1.2, hence:

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Answer: the value of m+n must equal 225.

Step-by-step explanation: If all the classroom crayons are accounted for in the table above, you can add all of the remaining crayons togeher which would get you to 65. 290 - 65 = 225.

This is the best answer I can come up with. I hope this helps.

Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10

Step-by-step explanation:

Answer:

y = 3x - 11

Step-by-step explanation:

(3, -2) and (5, 4)

m = 4+2/5-3

m = 6/2

m = 3

y = 3x + b

4 = 3(5) + b

4 = 15 + b

b = -11

y = 3x - 11

Answer:

x = 1

Step-by-step explanation:

Input values are x-values plotted on the x-axis, while output values are the y-values plotted on the y-axis.

The question is simply asking that, which value of x will give us the same y-value for the two functions graphed above.

The x value that will give us the same y-value for both functions is the point where the line of both functions intercept. At that point, when x = 1, y = 1, in both functions.

Therefore, the input value of x = 1, will give an output value of y = 1, for the two functions on the graph.

The completed blanks in Nyala's solution that is used to prove that the measure of angle x is 40° is as follows;

If we perform a 180° rotation about the point O the following happens

Ray \(\overleftrightarrow{EF}\) maps unto ray \(\overleftrightarrow{GH}\)

Ray \(\overleftrightarrow{GH}\) maps unto ray \(\overleftrightarrow{FE}\)x

\(\overleftrightarrow{FG}\) maps unto itself

Therefore, the image of angle x will be exactly where the pre-image of 40° was. Since rotation preserve angle measure, the measure of angle x must be 40°.

The measure of an angle is the degree of rotation between the initial side and the terminal side of the angle.

The details of the method Nyala used to prove that the measure of the angle x is 40° can be found as follows;

The rotation of a line 180° about the center of the line maps onto itself, and the rotation of a line about a non colinear point, is parallel to the original line.

Whereby the center of rotation of the line \(\overleftrightarrow{EF}\) is equidistant from both the line \(\overleftrightarrow{GH}\) which is parallel to the line \(\overleftrightarrow{EF}\), the image of the line \(\overleftrightarrow{EF}\) maps to the line \(\overleftrightarrow{GH}\) following a 180° rotation about the point O, and the rotation of the line \(\overleftrightarrow{FG}\) about the point O maps unto itself, such that the angle x maps to the angle 40°, therefore;

∠x ≅ 40° (A rotation transformation is a rigid transformation)

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Answer:

32778

Step-by-step explanation:

76543-43765=32778

Answer: When x = -2/3 and y = -5/6, the expression x + 1/2y becomes:

(-2/3) + 1/2 * (-5/6) = -2/3 - 5/12 = -2/3 - 5/12 = -7/12 - 5/12 = -12/12 = -1.

So the expression evaluates to -1.

Step-by-step explanation:

Answer:

16 = y

Step-by-step explanation:

So you have the equation 6=-y+42+-2y

Find the y first

6=-y+42+-2y

add all y's together

6=-3y+42

subtract 42 on both sides

-48 = -13y

16 = y

------------------------------------------------

Now do the check:

Plug in 16 where ever it says y in the original equation

6= -(16) + 42 + -2(16)

open the brackets

6= -16+42-32

solve

6=26-32

6 = 6

Hope this helps

The set of numbers that have 11 as a common factor is {154, 231}.

The number that divides two or more numbers is called a common factor.

Given are the pair of numbers as -

{154, 231}

{143, 221}

{33, 39}

{77, 91}

The pair of numbers with the common factor 11 is {154, 231}.

Therefore, the set of numbers that have 11 as a common factor is {154, 231}.

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Answer:

25 Questions.

Explanation:

Original or full is always 100%

Mentioned:

76% ⇒ 19

=========

1% ⇒ (19 ÷ 76) = 0.25

Solve for Total:

100% ⇒ 0.25 × 100 = 25

Answer:

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.

Step-by-step explanation:

We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.

Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.

Let X = back-to-college family spending on electronics

SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))

The z score probability distribution for normal distribution is given by;

                                 Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = population mean family spending = $237

           \(\sigma\) = standard deviation = $54

(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)

        P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)

                                                             = 1 - 0.9463 = 0.0537

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.

(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)

        P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)

                                                             = 1 - 0.9977 = 0.0023

The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.

(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)

     P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)

     P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)

                                                         = 1 - 0.8749 = 0.1251

     P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)

                                                         = 1 - 0.9850 = 0.015

The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.

Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101

Answer:

0, 3, 8, 15, 24, 35

Step-by-step explanation:

the logic is "Adding odd numbers in a series to the given number series". Thus, the answer is "35"

Answer:

0, 3, 8, 15, 24, 35, 48, 63

Step-by-step explanation:

This is an interesting sequence. It's recursive, it depends on the previous number. It works kind of like this.

Use the first two numbers (0 and 3) and find their difference, which is 3.

Then look at the second and third numbers (3 and 8) and find their difference, which is 5.

5 and 3 are 2 apart, so this sequence keeps going.

8 and 15 are 7 apart.

Then comes 9, 11, 13, and so on...

15 and 24 are 9 apart.

What's the missing number? After adding 9, we have to add 11, so 24+11=35 as the next number.

After that? You know what to do! 11+2=13, add 13! 35+13=48 as the next number.

This sequence goes on forever, it's like a modified Fibonacci sequence.

Answer:

6 is the answer

Step-by-step explanation:

Answer: integer and rational

Step-by-step explanation:

Answer:

4468.8

Step-by-step explanation:

3/5*7448

4468.8

Answer: it would be 18/3 or

Step-by-step explanation:

2/3 x 9 = ?

1) You multiple both numerator and denominator: 2x9 / 3x1 = 18/3

2) Find the GCF ( greatest common factor) for both numbers. Which is

3) Then divide both the numerator and denominator by 3 to simplify to it's lowest term: 18÷3= 6 and 3÷3= 1 which gives a fraction of 6/1 or

Answer:

1535 ml

Step-by-step explanation:

1 L = 1000 ml

2 L = 2000 ml

2000 ml -465 ml  =1535 ml

Answer:

-6, 6

Step-by-step explanation:

So we have the rational function:

\(g(x)=\frac{x-5}{x^2-36}\)

The domain of a rational function is all real numbers except for when x is a zero of the denominator.

Thus, to determine the domain restrictions, set the denominator to 0 and solve for x:

\(x^2-36=0\)

Add 36 to both sides:

\(x^2=36\)

Take the square root of both sides:

\(x=\pm 6\)

So, the values that are not in the domain of g is: -6, 6.

And we're done!

Answer:

x equals 8 due to 8^2 being 8x8=64

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.

There are several useful rules of exponents here:

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

Simplifying the top-level exponents first, we have ...

  \((5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}\)

In terms of answer requirements:

  n = 1/128000

  r = -10

  s = -3

  t = 15