Write an inequality to describe the relationship between 1/2 and 1/4

Answer:

Step-by-step explanation:

Make a chart.

units                    hours

2                             5

4                             10

6                             15

Therefore , the solution of the given problem of equation comes out to be  the coefficients of the variables x and y and putting them in a matrix.

To guarantee consistency here between two opposing claims, variable terms are frequently used in complicated algorithms. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this instance, the normalise process gives as rather than just an variable that separates 12 in and out of two parts for use with a data from y + 6.

Here,

In order to visualise the formulae

=> 6x + 11y = -4

=> 5x - 9y = 1

We can set up a vector of constants on the right side and use the values of the variables x and y as entries in a matrix to represent the data in matrix form.

The system's matrix shape is:

| 6  11 |   | x |   | -4 |

| 5  -9 | * | y | = |  1 |

Consequently, the following is the system's matrix representation:

| 6  11 |

| 5  -9 |

Notably, we acquire the system's coefficient matrix by taking the coefficients of the variables x and y and putting them in a matrix.

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Answer:

2

Step-by-step explanation:

Answer:

no it is not

Step-by-step explanation:

8 × 1 does not equal 2

a=34.697, only one triangle is formed.

And B=40°.7'

A≈77°.79'.So, option A is correct.

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one.

Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Given,

C​=61° 50, c​=31.2, b=23.6

Sine rule:

sin B/b=Sin C/c

sin B=b sin C/c

=(23.6 sin 61° 50)/31.2

sin B=0.65219

sin B=139.3

A+B+C=180

A=180-B-C

A=180-139.3-61.50

A= -20.8 which is not possible.

Because the angle must be positive.

sin B=sin 40.70

A+B+C=180

A=180-40.70-61.50

A=77.79'

sin A/a=sin C/c

a=c sin A/sin C

So, a=34.697

Only one triangle is formed

And B=40°.7'

A≈77°.79'

Hence, option A is correct.

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Answer:

For a rectangular prism-like swimming pool: \(V = w\cdot l \cdot h\). \(V = 360\,ft^{3}\) when \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\).

Step-by-step explanation:

Let assume that swimming pool has a rectangular base and depth is the same  at any point at the bottom. In addition, let \(w\) and \(l\) be the width and length of the swimming pool. Then, the volume needed to fill the swimming pool is:

\(V = w\cdot l \cdot h\), where \(h\) is the depth of the pool.

Let be \(h = 5\,ft\), \(l = 12\,ft\) and \(w = 6\,ft\). The volume of the swimming pool is:

\(V = (6\,ft)\cdot (12\,ft)\cdot (5\,ft)\)

\(V = 360\,ft^{3}\)

Answer:

Step-by-step explanation:

D because the quadratic formula is basically \(\frac{-b+\sqrt{b^{2}-4ac } }{2a}\)±

so if we place the equation D into the formula

a = 1

b = +3

c = +24

we can clearly say that D eq is correctly used and can be.

Answer:

The product will be less than the second factor.

Step-by-step explanation:

Given the expression

\(\frac{4}{5}\:\times \:1\frac{2}{5}\:=y\)

solving to determine the product value

\(y=\:\frac{4}{5}\times \:\:1\frac{2}{5}\)

  \(=\frac{4}{5}\times \frac{7}{5}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

  \(=\frac{4\times \:7}{5\times \:5}\)

  \(=\frac{28}{5\times \:5}\)

  \(=\frac{28}{25}\)

As the value of the second factor is:

\(1\frac{2}{5}=\frac{7}{5}=1.4\)

And the product value is:

\(y=\frac{28}{25}=1.12\)

It is clear that the product value 'y = 1.12' is lesser than the second factor value '1.4'.

i.e. 1.12 < 1.4

Thus, the product will be less than the second factor.

The solution is Option D.

The median of the data is A = 20 and the mean of the data is M = 22.7

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M

Let the median of the data be represented as A

Now , the equation will be

The list of donations is represented as set D

Set D = { 10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55 }

Now , the mean M is = 10 + 10 + 10 + 10 + 15 + 15 + 15 + 19 + 20 + 20 + 20 + 25 + 25 + 25 + 30 + 30 + 55 + 55 / 18

The mean M = 409 / 18

On simplifying the equation , we get

The mean M = 22.722

Now , the median of the data is A = 20

Hence , the mean is 22.7

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The median of 20 is the most accurate to use, since the data is skewed.

The most accurate measure of center to use in this case is the median of 20. This is because the data is skewed, with a few high-value donations (such as the two donations of 55 dollars) that pull the mean up. However, most of the donations are clustered around 10 to 20 dollars. As a result, the median, which is the middle value when the data is sorted in order, is a better representation of the "typical" donation amount.

In this case, the median is 20, which means that half of the donations were less than 20 dollars and half were more. This is a more accurate representation of the central tendency of the data than the mean of 22.7, which is influenced by the high-value donations. Therefore, the charity should use the median of 20 to accurately represent the typical donations received.

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

In order for two tuples to be equal, they must have the same length and corresponding items must have the same value.

The answer to this is True.

Tuples are used to store multiple items in a single variable.

Tuple is one of 4 built-in data types in Python used to store collections of data, the other 3 are List, Set, and Dictionary, all with different qualities and usage.

A tuple is a collection which is ordered and unchangeable.

Tuples are written with round brackets.

When are 2 tuples equal?

Two tuples are equal, if they have got the same number of elements and if their elements are equal. Two tuple elements are equal, if they are both (integer or floating point) numbers or both are strings and contain the same value.

Therefore, the answer to this question is True.

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Answer:

The  proportions of the diameters that are greater than 25.4 millimeters is 5%.

Step-by-step explanation:

Given;

mean of the normal distribution, m = 25.1 millimeters

standard deviation, d = 0.08 millimeter

1 standard deviation above the mean = m + d = 25.1 + 0.08 = 25.18

2 standard deviation above mean =  m + 2d = 25.1 + 2(0.08) = 25.26

3 standard deviation above the mean = m + 3d = 25.1 + 3(0.08) = 25.34

4 standard deviation above the mean = m + 4d = 25.1 + 4(0.08) = 25.42

To obtain a diameter greater than 25.4, we select data after 4 standard deviation above the mean.

Data within 4 standard deviation above the mean is 95%

Data outside 4 standard deviation above the mean is 5%

Therefore, the  proportions of the diameters that are greater than 25.4 millimeters is 5%.

Answer:

Time taken for both hikers to be at the same elevation = 14 minutes

At that time, they will both be at an elevation of 270 feet

Step-by-step explanation:

Let us represent Jenny's current elevation by x and Julian's current elevation by y

Let T be the time taken when the hikers reach the same elevation

For Jenny

For Julian

Check working
After 14 minutes, Jenny's elevation = 480 - 15 x 14 = 480 = 210 = 270 feet

After 14 minutes, Julian's elevation = 200 + 5 x 14 = 200 + 70 = 270 feet

So it checks out

Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

\(Volume = 5028.6cm^3\)

Step-by-step explanation:

Given

\(Height = 10cm\)

\(Diameter = 8cm\)

Required

Determine the volume

The volume of a cylinder is calculated as thus:

\(Volume = \pi r^2h\)

Where \(r = radius\)

\(r = \frac{1}{2} * Diameter\)

\(r = \frac{1}{2} * 8cm\)

\(r = 4cm\)

\(h = 100cm\)

Take

\(\pi = \frac{22}{7}\), so we have

\(Volume = \pi r^2h\)

\(Volume = \frac{22}{7} * 4^2 * 100\)

\(Volume = \frac{22}{7} * 16 * 100\)

\(Volume = \frac{22 * 16 * 100}{7}\)

\(Volume = \frac{35200}{7}\)

\(Volume = 5028.6cm^3\)

Step-by-step explanation:

look at the picture I have sent

The value of the equation that defines the function is f(x) = 3(5/3)ˣ

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

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

The product of secant lengths to the near and far circle intercepts is the same for both secants:

  3 · (3+5) = 4 · (4+x)

  24 = 4(4 +x) . . . . simplify

  6 = 4 +x . . . . . . . .divide by 4

  2 = x  . . . . . . . . .  subtract 4

Answer: 132

Step-by-step explanation:

negative times negative equals positive

Answer: bottom right

Answer:

4 gallons per min

Step-by-step explanation:

32g per 8 mins

32 divide by 8= 4g

We will have the following:

Right away we can see that if we are to plug in x = 35 in one of the expressions, the only one that would give as solution y = 1 is the solution; thus, the solution is the function:

The cost of each bag of walnut can be determined following the below steps and each bag of walnut is $1.89

Total receipt= $17.92

4 batches of chocolate chip walnut cookies requires 4 bags each of chocolate chips and walnuts if each batch requires 1 bag each of chocolate chips and walnuts

Cost of chocolate chips = $2.59

Cost of 4 bags of chocolate chips = 4($2.59)

= $10.36

Total cost of 4 bags of walnuts = Total receipt - Cost of 4 bags of chocolate chips

= $17.92 - $10.36

= $7.56

Cost of each bag of walnut= Total cost of 4 bags of walnuts / 4

= $7.56 / 4

= $1.89

Therefore, each bag of walnut cost $1.89

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Answer: Step 1: Divide 17.92 by 4

              Step 2: Subtract 2.59 from 4.48

Step-by-step explanation:

69200000 in scientific notation is  6.92 × 10⁷.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

Scientific Notation is a special way of writing numbers:

For example 800 is written as 8 × 10² in Scientific Notation.

Therefore, let's write the scientific notation of the number 69200000.

Hence,

69, 200, 000 = 6.92 × 10⁷

The logic is that we will count backwards until we meet the last number. Since we counted towards the left side, the exponent will be positive.

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Answers:
7.  4/50 + 30/50 = 34/50 = 17/25

8. 8/12 - 7/12 = 1/12

9. 90/100 + 2/100 = 92/100 = 23/25

10. 16/36 + 9/36 = 25/36

11. 17/15 - 5/15 = 2/15

12. 7/16 + 6/16 = 13/16

13. 8/20 + 5/20 = 13/20

14. 2/14 + 7/14 = 9/14

Answer:

$15.48

Explanation:

100 ÷ 6.46 = 15.479876