Which property is being demonstrated? 7³. 7⁵ =7³+⁵= 7⁸

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

615.752 rounds to 615.4 or D

Step-by-step explanation:

Answer: 1.96

2

Step-by-step explanation:

1) For our first job, PROBLEM A, it has a mean of 515 points and a standard deviation of 114 points. We're given the goal of calculating what % belongs between 401 and 629. As we can see, if we remove 515, then subtract 114 from 515, we obtain our first value of 401, then if we add our standard deviation tournament, we get our second number of 629. So, using the empirical rule, we know that in this scenario, 68 of our data points will fall inside this range.

2) Part B requires us to identify the scores that are less than 401 and larger than 629. So, in part A, we have the inclusive section of this, and now we have the exclusive section. Simply remove 60 percent from 100 percent, and we get 32 percent outside of this range.

Answer:

5b+4

Step-by-step explanation:

1/2(20b-10b+8)

By distribution, (10b-5b+4)= 5b+4

Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Answer:

6 is the greatest answer

Step-by-step explanation:

24÷4=6

The greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards is 6

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jeremiah will give all of his sports cards to a number of friends. the greater number will be calculated as,

Number = 24÷4=6

Therefore, the value of the greatest number will be 6.

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In deductive thinking, you start with a given set of rules and conditions and determine what must be true as a consequence - True

In deductive thinking, conclusions are reached based on premises that are typically taken to be true. A conclusion is based on the concordance of several premises typically presumed to be true in this logical procedure. Top-down logic is another name for deductive thinking. It only makes use of data that is believed to be reliable. It excludes sentiments, feelings, and unsupported assumptions because it is challenging to assess the integrity of this data.

Making logical assumptions and basing a conclusion on them are the foundations of deductive thinking. It enables the individual to combine the information from two or more assertions to arrive at a sound conclusion. If something is presumptively true and a different object is connected to the first presumption, then the original truth must also apply to the second. Therefore, In deductive thinking, if you start with a given set of rules and conditions and determine what must be true as a consequence holds true.

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Answer:

790

Step-by-step explanation:

7098uuilu4645

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

50

Step-by-step explanation:

The angles of a triangle add up to 180°

So

53+77+x=180

x=180-130

x=50

The statement "sin(x) = -√3/2.8" is true, and the statement "cos(x) = 11/14" is true.

What is the Pythagorean theorem?

The Pythagorean theorem is a fundamental result in Euclidean geometry that describes the relationship between the three sides of a right-angled triangle.

In equation form, this can be written as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides (also known as the legs) of the right-angled triangle.

We do know that point A has coordinates (2.2, -√3) in the Cartesian plane. By using the Pythagorean theorem, we can find the distance between the origin and point A, which is equal to the radius of Circle C:

r = √((2.2)² + (-√3)²)

r= √(4.84 + 3)

r= √(7.84)

r= 2.8 (approx)

Now, we can use the coordinates of point A and the radius of Circle C to find the values of sin(x) and cos(x). Since the x-coordinate of point A is positive and the y-coordinate is negative, we know that x lies in the second quadrant. Therefore:

sin(x) = y/r = (-√3)/2.8

cos(x) = x/r = 2.2/2.8 = 11/14

So the statement "sin(x) = -√3/2.8" is true, and the statement "cos(x) = 11/14" is true.

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Answer:

Step-by-step explanation:

ac=3.14/p==\(\beta \alpha\)ty

From the diagram,

The angles, 127 degrees at arc AB and arc CD shows that the Chords AB and CD are equal

Therefore, the value of x = 3

The first equation that represents 42 - p -p= 21 is correct.

An equation is a mathematical statement that express the equality between two or more number of expressions. An equal sign is mandatory for equation. An equation is used to determine unknown values in terms of variables. In our everyday life equation is used by many professionals necessarily. By using equation many complicated problems can be easily solved within a limited time.

Isaac has $42 cash in hand when arrived Saturday market.

He buys two posters that each cost selling price or SP.

when he leaved the market had $21 cash in hand.

assume, each poster has a price = p

The situation is represented by the following.

initial amount - cost for two posters = final amount

42 - p - p = 21

hence, the first equation that given in the question is correct.

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First let's start with A

All the sides in a hexagon add up to 720

do 720/6

720/6=120

A=120

Each angle in that hexagon adds up to 120

Then B

The triangle is equilateral, so 180/3=60

B would be 60

C would also be 60

D is = to a, so D=120

A:120

B:60

C:60

D:120

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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The equation of a line that passes through points (2,5) and (4,3) is

y = -x+7.

Finding the equation of a line:

First, we need to find out the slope for the given points.

(X1,Y1) = (2,5)

(X2,Y2) = (4,3)

formula for slope(m) = \(\frac{Y2 - Y1}{X2 - X1}\)

substitute the points in the above formula

\(\frac{3 - 5}{4 - 2}\) = \(\frac{-2}{2}\)

\(\frac{-2}{2}\) = -1

slope for the given points(m) = -1.

m = -1

The equation of a line is y-y1 = m(x-x1), where x and y are variables.

substituting the values in the above equation then :

y-5 = -1(x-2)

y-5 = -x+2

y+x = 2+5

x+y = 7

y = -x+7

Therefore, the equation of the line passing through the points (2,5) and (4,3) is y = -x+7

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Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

Answer:

5/9 yards

Step-by-step explanation:

\( \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} \)

Answer:

2/5

Step-by-step explanation:

If we convert 1/2 to tenths we get 5/10. We can subtract that from 9/10 to find out what q equals which will give us 4/10 which is also equal to 2/5

(sorry i'm really bad at explaining but I hope this helps)

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

9514 1404 393

Answer:

Step-by-step explanation:

The range of the function is the vertical extent. Here, the values of y can be anything that is -2 or more:

  range: -2 ≤ y

The domain of a the function is the horizontal extent. The domain of any polynomial function is ...

  domain: All reals

Answer:

9 > 10

Step-by-step explanation:

90 = 9

100 = 10

answer = 9.10

Answer:

4*9

Step-by-step explanation:

It's obvious.

Answer:

Explanation:

The standard form of a cubic equation is given as:

If the equation has x-intercepts of -4,-1, and 3, then we have:

At x=-4

At x=-1

At x=3

At the point (1,40)

This gives us a system of equations with 4 unknowns.

If we solve this using a calculator, we have that:

Therefore, the cubic equation will be:

The graph of the equation is attached below:

We can clearly see the 4 given points on the graph above.