Is the product of two integers positive negative or zero how can you tell?

The common ratio for the sequence is 2/3

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

Sequence: 9,6,4

The common ratio for the sequence is calculated using

Ratio = T2/T1

substitute the known values in the above equation, so, we have the following representation

Ratio = 6/9

Evaluate

Ratio = 2/3

Hence, the common ratio is 2/3

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The conclusion in the given conditional statement is that the sides of the square have a length of 2 units each. This is deduced from the formula for the perimeter of a square (P = 4 × side length), and the given perimeter of 8 units.

The conclusion in the conditional statement "If a square has a perimeter of 8 units, then its sides have a length of 2 units each" is the sides of the square have a length of 2 units each.

In a conditional statement, the "if" part is known as the hypothesis and the "then" part is the conclusion. Given that a square's perimeter is the sum of the lengths of all four sides, we can show this through an equation: P = 4 × s, where P represents the perimeter and s the length of one side. Since the perimeter is given as 8 units, we can solve for s by dividing the perimeter by 4: 8 units = 4 × s, which simplifies to s = 2 units. Therefore, each side of the square must be 2 units long.

Final answer:

The conclusion in this conditional statement is that the sides of the square have a length of 2 units each.

Explanation:

The conclusion in this conditional statement is:

The sides of the square have a length of 2 units each.

In a conditional statement of the form 'if A, then B', the conclusion (B) is the statement that follows 'then'. In this case, the conclusion states that the sides of the square have a length of 2 units each.

Answer:

no

Step-by-step explanation:

60% = 0.60

7*0.6 = 4.2

The answer is a.

12x

Answer:

(2,-3) changes to (3,2)

A is correct.

Step-by-step explanation:

Given: The point (2, −3) after a counterclockwise rotation of 90° about the origin.

[tex]R_{90\circ}(x,y)\rightarrow (-y,x)[/tex]

Rotation is counterclockwise about origin.  

[tex](x,y)\rightarrow (-y,x)[/tex]

We are given coordinate

[tex](2,-3)\rightarrow (3,2)[/tex]

We can see in diagram also. Please see the attachment for rotation.

Hence, (2,-3) changes to (3,2)

Answer:

Point would be (3,2).

Step-by-step explanation:

Given: point (2, −3) after a counterclockwise rotation of 90° about the origin.

To find: What are the coordinates after rotation.

Solution: We have given that  point (2, −3).

By transformation rotation 90° (x,y)→→→(-y,x).

Then  point (2, −3)  would be (-(-3),2) .

Then (3 ,2)

Therefore, Point would be (3,2).

Answer:  The required value of the variable c is 18 and that of YZ is 72.

Step-by-step explanation:  Given that Y is in between X and Z, where

XY= 11, YZ=4c and XZ=83.

We are to find the value of the variable c and YZ.

Since the point Y is in between X and Z, so we must have

[tex]XY+YZ=XZ\\\\\Rightarrow 11+4c=83\\\\\Rightarrow 4c=83-11\\\\\Rightarrow 4c=72\\\\\Rightarrow c=\dfrac{72}{4}\\\\\Rightarrow c=18.[/tex]

And,

[tex]YZ=4c=4\times 18=72.[/tex]

Thus, the required value of the variable c is 18 and that of YZ is 72.

The given problem is a segment addition problem in geometry. It can be solved by creating an equation based on the Segment Addition Postulate, simplifying and solving it to find the value of the variable c equal to 18. Substituting this value into the equation for YZ gives a result of 72.

The subject of this question is a segment addition problem in geometry. From the given values, we can create an equation based on the Segment Addition Postulate, which states that the length of the whole line segment (XZ in this case) is equal to the sum of the lengths of the two segments it is split into (XY and YZ in this context).

With XZ = 83, XY = 11, and YZ = 4c, the equation becomes XY + YZ = XZ, or 11 + 4c = 83. To solve for the value of the variable c, subtract 11 from both sides, giving 4c = 72. Finally, divide each side by 4 to find that c = 18.

To find the value of YZ, substitute c = 18 back into the YZ equation: YZ = 4c = 4*18 = 72.

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25 *48 = 1200 total quarts

1200/7 = 171.43 hours

171.42/24 = 7.14 days

 so every 7 days

Parallel lines have the same slope, so if we find the slope of the line shown, the slope of the line parallel to it will be the same.

To find the slope, we find the rise divided by the run, or the change in x values divided by the change in y values.

slope = m = (y1 - y2)/(x1 - x2) = (3-2)/(0-3) = 1/(-3) = -1/3

Therefore, the slope is -1/3, and so the slope of the parallel line is also -1/3.

Your answer is -1/3.

Hope this helps!

The error is in third step where 2(–12) is -24 and not 24 thus the  correct result is 6.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

2(4 – 16) – (–30)

solving the bracket,

2(–12) – (–30)

expanding the bracket we get,

-24 – (–30)

this is the error in the given work where 2(–12)– (–30) = 24– (–30)

Thus open the bracket,

-24 + 30

solving we get,

6

which is the correct answer.

Thus, the error is in third step where 2(–12) is -24 and not 24 thus the  correct result is 6.

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The two consecutive integers that sum up to 47 are 23 and 24, and their product is 552.

The question involves finding two consecutive integers whose sum is 47 and subsequently determining their product. To solve this, let's denote the smaller integer as n, which means the next consecutive integer will be n + 1. Since the sum is 47, we set up the equation n + (n + 1) = 47.

This simplifies to 2n + 1 = 47. To find the value of n, we subtract 1 from both sides to get 2n = 46, and then divide both sides by 2, yielding n = 23. Therefore, the two consecutive integers are 23 and 24. To find the product of these integers, we multiply them together: 23 imes 24 = 552.

Answer:

c = 2, c = -2

Step-by-step explanation:

The question is asking us to solve the equation [tex]\sf{c^2=4}[/tex].

To solve it, we take the square root of each side. Note that once we do this, we will have 2 solutions.

[tex]\sf{\sqrt{c^2}=\sqrt{4}}[/tex]

[tex]\sf{c=2,c=-2}[/tex]

Therefore, this equation has two solutions, which are c = 2 and c = -2.

Answer:

Value of her investment after 2years is £12,362.7

Step-by-step explanation:

The question is incomplete, here is the complete question.

"Mary invests £12000 in a savings account. The account pays 1.5% compound interest per year. Work out the value of her investment after two years"

Using the relationship:

A = P(1+r/100)^n

Where P is the principal = amount invested = £12000

r is the compound interest = 1.5%

n is the time = 2years

A is the amount compounded after n years

A = 12000(1+1.5/100)²

A = 12000(1+0.015)²

A = 12000(1.015)²

A = 12000(1.03)

A = 12362.7

Value of her investment after 2years is £12,362.7

The value of expression 62+(3⋅4)−24 is 50

What is PEMDAS ?

A rule of operations explains the correct order in which math expressions should be evaluated, and we can remember those steps using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Here, the expression is given as  62+(3⋅4)−24 now using PEMDAS rule to solve this expression first by solving under bracket terms 3x4 = 12 and then adding 62 and 12, then subtract it by 24 to get the final answer.

62+(3⋅4)−24

62 + 12 -24

74 - 24

50

Therefore, the value of expression 62+(3⋅4)−24 is 50

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Answer:

t=4.56

Step-by-step explanation:

t+1.24=5.8

t=4.56