⅔+(-⅓)=?????????????????????​

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

An array is a set of objects or values that are organized in a specific order. It is used in programming, mathematics, and other fields to make data manipulation and analysis easier.

When it comes to arrays in mathematics, it usually involves objects or numbers that are arranged in rows and columns.In order for a set of squares to be considered an array, it must meet certain requirements. These requirements are:All rows must have the same number of squares. All columns must have the same number of squares. Squares must be organized in an orderly manner. A set of squares that does not meet these requirements is not an array.

For example, if a set of squares is arranged in a random or disorganized manner, it cannot be considered an array because it does not meet the orderly requirement. Additionally, if the number of squares in each row or column is different, it cannot be considered an array because it does not meet the uniformity requirement.

Overall, it is important to remember that an array is a specific type of organization and cannot be applied to any random set of objects or values.

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Answer and Step-by-step explanation:

Just flip the triangle upside down, to make it look more sense.

   (Angle) 17

    |\

x   |  \ 47

    |__\

We will use the sine trig function to solve for x.

sin(17) = \(\frac{x}{47}\)

Multiply by 47 to both sides.

47(sin(17)) = x

Now input into a calculator and solve.

x = 13.74147012

x ≈ 13.7 is the answer.

9514 1404 393

Answer:

  59 3/4

Step-by-step explanation:

The change from the opening price is ...

  -50 1/2 +110 1/4 = 60 -1/4 = 59 3/4 . . . change from opening price

Answer:

992×16=15872 is your answer

992

×16

_____

5952

+9920

_______

15872

Answer:

15872

Step-by-step explanation:

There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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The length QT is 36 units

The attached image represents the missing information in the question

From the image, we have:

RQ =QT

Substitute known values

5x + 1 = 3x + 15

Evaluate the like terms

2x = 14

Divide by 2

x = 7

Substitute x = 7 in QT = 3x + 15

QT = 3 * 7 + 15

Evaluate

QT = 36

Hence, the length QT is 36 units

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Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer:

Disjoint is the correct answer.

Answer:

1190

Step-by-step explanation:

Here, you need to add the squares of the measurements.

20² + 10² + 13² + 11² + 20² =

= 400 + 100 + 169 + 121 + 400

= 1190

11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).

Step-by-step explanation:

the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the

The value of the expression is \(\frac{1}{216}\)

An expressions are mathematical statement which have more than two terms that contains variables and constants along with mathematical symbols.

Given the expression, \(p^{-3}\) for p=6

⇒\(p^{-3} =\frac{1}{p^{-3} }\)

⇒if p=3, then \(\frac{1}{p^{-3} } = \frac{1}{216}\)

Hence, the value of expression is \(\frac{1}{216}\).

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Answer:  B and D

Step-by-step explanation:

B=-2

D=2

The negative and positive signs cancel out, leaving you with zero.

Ex: you take two steps back, but then you take two steps forward so you're back where you started (0).

The percent of the front page taken up by the prom story is 20%

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

The front page

From the front page, we have

Area front page = 5 * 4

Area front page = 20

Also, we have

Prom = 2 * 2

Prom = 4

So, we have

Percentage = 4/20 * 100%

Evaluate

Percentage = 20%

Hence, the percent of the front page taken up by the prom story is 20%

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Answer:

Step-by-step explanation:

\(\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}\)

Answer:

50/60 = .8333=  83.33%

Step-by-step explanation:

The probability that the call arrived when the switchboard was not fully busy is 0.75.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

Given:

Here X follows uniform distribution with parameter a and b.

Where,

a = 0 and b = 1.

Then,

The density function of Y is given by:

P( 15 < Y ≤ 60)

or, P( 0.25 < Y ≤ 1)

So,  P( 0.25 < Y ≤ 1) = \(\int\limits^{1}_{0.25}{f(y) \, dy\)

                                = \([y]^1 _ {0.25}\)

                                = (1- 0.25)

                                = 0.75

Hence, The probability that the call arrived when the switchboard was not fully busy is 0.75.

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The correct option C: A rotation of ABC 180 counterclockwise around A, such that ABC maps to ADC.

For the given question;

In triangles ABC angle CAB is 47.

If the triangles ABC and ACD becomes congruent such that angle ACD corresponds to angles ABC.

Then, both angles will be equal.

For, this, a rotation of ABC 180 counterclockwise around A, such that ABC maps to ADC is to be done.

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The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

1: 6

2: 20

3: 4

4: 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

equation perpendicular to y = 6x + 3 is y = (-1/6)x + k

the line passes through (-6,4)

putting the value we get, 4 = 1 + k

                                           k = 3

So equation is y = (-1/6)x + 3

The composite mapping (f o g)(x) ≥ 3 for the functions f(x) = 2x + 1 and g(x) = x² + 1. And (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

A mapping is composite when the co- domain of the first mapping is the domain of the second mapping.

For the functions f(x) = 2x + 1 and g(x) = x² + 1

If x > 0, say x = 1 then;

g(x) = 1² + 1

g(x) = 2

(f o g)(x) = 2(2) + 1

(f o g)(x) = 4 + 1

(f o g)(x) = 5

If x = 0, then;

g(x) = 0² + 1

g(x) = 1

(f o g)(x) = 2(1) + 1

(f o g)(x) = 2 + 1

(f o g)(x) = 3

For the functions f(x) = x² and g(x) = x

If x < 0, say x = -0.5, then;

g(x) = -0.5

(f o g)(x) = (-0.5)²

(f o g)(x) = 0.25

In conclusion, the composite mapping (f o g)(x) ≥ 3 for functions f(x) = 2x + 1 and g(x) = x² + 1 and (f o g)(x) > 0 for the functions f(x) = x² and g(x) = x.

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Answer:

i agreee

Step-by-step explanation:

Answer: -12

Step-by-step explanation:

4 1/2-5 1/8= -5/8 divided by 7 1/2

= -12

Hope this helped!!<3

Answer:

-12

Step-by-step explanation:

4 4/8 – 5 1/8 = (4 – 5) + (4/8 – 1/8) = -1 + 4 – 1/8 = -1  + 3/8 = -5/8

7 1/2 ÷ 5/8 = 15/2 ÷ -5/8 = 15/2 × 8/-5 = 15 × 8 2 × -5 = 120 -10 = 120/-10 ÷ 10/10= –12

The angle of depression from the bear to the fish is 32.7 degrees.

The situation forms a right angle triangle.

Right angle triangle are triangle that has one of its angle as 90 degrees. Therefore, the sides or angle can be found using trigonometric ratios.

The angle of depression can be found using trigonometric ratio.

Therefore, the opposite side of the triangle is 9ft and the adjacent side of the triangle is 14 ft.

tan ∅ = opposite / adjacent

tan  ∅ = 9 / 14

∅ = tan ⁻¹ 0.64285714285

∅ = 32.7352262721

∅ = 32.7°

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Answer:

10 tons

Step-by-step explanation:

5000 pounds x 4 = 20000 pounds

20000 pounds is the total weight in pounds of the cars on the truck.

Now we just have to convert the weight in pounds to tons.

1 pound = 0.0005 ton

20000 x (0.0005) = 10

9514 1404 393

Answer:

  4

Step-by-step explanation:

The slope formula is useful:

  m = (y2 -y1)/(x2 -x1)

  m = (13 -5)/(4 -2) = 8/2

  m = 4

The slope of the line through those points is 4.

Answer:

2 2/3 hours or 2 hours and 4o minutes

Step-by-step explanation:

set up a proportion

\(\frac{time}{distance}\) = \(\frac{time}{distance}\)

\(\frac{\frac{4}{5} }{\frac{3}{10} }\) = \(\frac{h}{1}\)cross multiply and solve for h

\(\frac{3}{10}\) h = \(\frac{4}{5}\)  Multiply both sides by \(\frac{10}{3}\)

\((\frac{10}{3})\)\(\frac{3}{10}\) h = \((\frac{10}{3})\)\(\frac{4}{5}\)  Multiply and then divide the top and bottom by 5

h = \(\frac{8}{3}\) o r2 \(\frac{2}{3}\)

The calculated IQR of the list of numbers is 3

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

1, 2, 4, 3, 3, 8, 5, 6

Sort the above number in ascending order

So, we have

1, 2, 3, 3, 4, 5, 6, 8

Split the above numbers to 2

So, we have

1, 2, 3, 3

4, 5, 6, 8

In the above, we have

Q1 = (2 + 3)/2 = 2.5

Q3 = (5 + 6)/2 = 5.5

using the above as a guide, we have the following:

IQR = 5.5 - 2.5

Evaluate

IQR = 3

Hence, the IQR of the list of numbers is 3

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Answer:

its d

Step-by-step explanation: