Domain:
Range:
Increasing:
Decreasing:
Positive:
Negative:

In the class of Mr. Kendrick's, Jonah is in Group B and Janeka is in Group A using the concept of Logical Reasoning.

As per the question statement, we are given that in Mr. Kendrick's class, students are divided into two groups for an activity. Students in group A must always tell the truth and correct info. Students in group B must always lie. Jonah and Janeka are in Mr. Kendrick's class. When asked if Jonah and Janeka are in group A or B, Jonah says, "We are both in Group B. "

By their statement and using the concept of Logical Reasoning, we can conclude that Jonah is in Group B and Janeka is in Group A.

As Jonah said, "We are both in Group B. " and as both the students can't be in same group so Jonah lied and hence he is in group B and Janeka is in group A.

This is a classic example of  Logical Reasoning.

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Answer: positive

Step-by-step explanation: That's just how it works. It's an algerbra rule. Hope that helped. Have a nice day.

Rule 1: The product of a negative integer and a positive integer is a negative integer. Rule 2: The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

[Mathematical Situation]

Simplify the expression.

[tex]-1-\frac{2}{3} (\frac{6}{7}-\frac{3}{7}n)[/tex]

Solution:

[tex]-\frac{11}{7}+\frac{2n}{7}[/tex]

Hope this helps!

The simplified expression is -1 - 4/7 + (2/7)n.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

-1 - 2/3 (6/7 - (3/7)n)

Distributive operation.

= -1 - 2/3 x 6/7 + 2/3 x (3/7)n

= -1 - 4/7 + (2/7)n

Thus,

The simplified expression is -1 - 4/7 + (2/7)n.

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Answer:

$459

Step-by-step explanation:

60x3=180

$299+180=$459

The following inequality in slope-intercept form.

y≤-4x-15

Slope intercept form is y=mx+ c

what is a coordinate in geometry?

Coordinates are two numbers (Cartesian coordinates), or every so often a letter and a range of, that discover a particular point on a grid, called a coordinate aircraft. A coordinate aircraft has 4 quadrants and two axes: the x axis (horizontal) and y axis (vertical).

what is coordinate geometry instance?

In coordinate geometry,  lines are parallel if their slopes (m) are equal. for instance: the line y = ½ x - 1 is parallel to the line y = ½ x + 1 due to the fact their slopes are both the identical.

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Answer:

0.9

Step-by-step explanation:

4n = 3.60

n = 3.60 / 4

n = 0.9

Answer: n = 0.9

Step-by-step explanation:

1. isolate the variable by dividing 4 from both sides

2. 3.60/4 = 0.9

96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

arithmetic sequence 1, -12, -25, .. .1,−12,−25

an arithmetic sequence can be written as

a , a + d , a + 2d , a + 3d , . . . . . a + (n-1)d

nth tern of an arithmetic sequence is

aₙ= a+ (n-1)d

a= first term of an arithmetic sequence

d = common difference of an arithmetic sequence

n = number of terms in an arithmetic sequence

So in the above arithmetic sequence

a= 1

d= -13

n= 96

a₉₆= 1+ (96-1)(-13)

    =  1- (95)13

    =  1- 1235

    = -1234

96th term of the arithmetic sequence 1, -12, -25, ...1,−12,−25  is -1234

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The inequality that gat can be used to show the mobiles that are tolerable is w - 8 <= 0.3.

It should be noted that from the information, the

mobile phone produced must be less than 8 ounces in weight with a tolerance of 0.3 ounces.

Therefore, the mobiles are tolerable with an inequality will be:

w - 8 <= 0.3.

where w = weight of the mobiles.

In conclusion, the mobiles are tolerable with an inequality will be w - 8 <= 0.3.

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A particular mobile phone produced must be less than 8 ounces in weight with a tolerance of 0.3 ounces. The mobiles that are not within the tolerated weight must be recycled. Show which mobiles are tolerable with an inequality. ( W is the weight of the mobiles).

Answer:115

Step-by-step explanation:

(4.25x) + 167= 117.35

Answer:

A

Step-by-step explanation:

The equation has infinite solutions is the last option:

6(x - 1) = 2*(3x - 3)

Any equation in which we can remove the variable has infinite solutions (because it does not depend on the value of x) only if the equation is true.

Let's look at the fourth equation:

6(x - 1) = 2*(3x - 3)

If we expand both sides, we will get:

6x - 6 = 2*3x - 2*3

6x - 6 = 6x - 6

So we have the exact same thing in both sides, if we remove 6x - 6 in both sides we will get:

0 = 0

Then this equation has infinite solutions.

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Answer:

32% of 200 is 64.

Step-by-step explanation:

The scientific notation has 3 significant digits.

A significant number is the the numbers that are in in the coefficient of an expression in scientific notation, 5, 9 and 8 are the significant numbers.

Scientific notation is used in expressing large numbers in smaller numbers. In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10.

For example, the number : 1 x 10² is equivalent to 100

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Answer:

12

Step-by-step explanation:

absolute value basically makes numbers positive

Answer:

A real number is a number that can take any value on the number line. They can be any of the rational and irrational numbers. Rational number is a number that can be expressed in the form of a fraction but with a non-zero denominator.

Answer:

P= (-12,0)

Q= (0,-8)

R= (-2,-16)

P'= (-17,0)

Q'= (-5,-8)

R'= (-7,-16)

Step-by-step explanation:

Assuming that each square is equal to one point, the shape is in quadrant 3, where all coordinates are negative.

Determine where each coordinate is for P, Q, and R; then move over each x coordinate by -5 (a.k.a. subtract 5).

This will give you your translation to P', Q', and R'.

Please let me know if I made any mistakes, and hope this helped!

-12

----- = -4 that's the key to the operation so -4x 3

3

Answer:

The numbers are 4 and 7

Step-by-step explanation:

To start, we can set up two equations.

x + y = 11 and x - y = 3

We now need to solve for one of these variables in terms of the other. I am choosing to solve for x, but either way will work. I'm using the second equation and solving for x by adding y to each side, which gives me

x = 3 + y

Now that I have a value for x, I can plug this into my first equation

3 + y + y = 11

Combining like terms gives me

3 + 2y = 11

Subtracting 3 from both sides leaves

2y = 8

And dividing by 2 to solve for y gets

y = 4

We now know one number, and to solve for the other we can plug our y value into either equation

x + 4 = 11

Subtracting 4 from both sides yields the x value

x = 7

So the two numbers are 4 and 7

[tex]\displaystyle\\Answer:\ x=\frac{\pi }{4} \ \ \ \ \ x=\frac{7\pi }{4}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\secx=\sqrt{2} \ \ \ \ 0\leq x\leq 2\pi \\\\\frac{1}{cosx} =\sqrt{2} \\\\cosx=\frac{1}{\sqrt{2} } \\\\cosx=\frac{(1)(\sqrt{2)} }{(\sqrt{2})(\sqrt{2)} } \\\\cosx=\frac{\sqrt{2} }{2} \\\\x=\frac{\pi }{4} \\\\x=\frac{7\pi }{4}[/tex]

The value of y for which M is the mid-point of LN is equal to 3 and the numerical length of LN is 46 units.

The mid - point of a line is the point which divides it into two equal parts of same length.

Given in the question is a line segment LN such that M is its mid - point. From the question, we can write -

LM = 9y - 4

MN = 6y + 5

According to the question, M is the midpoint of LN, therefore -

LM = MN

9y - 4 = 6y + 5

9y - 6y = 9

3y = 9

y = 3

So, the length of LN will be -

LN = LN + MN = 9 x 3 - 4 + 6 x 3 + 5 = 23 + 23 = 46 units

Therefore, the value of y is equal to 3 and the numerical length of LN is 46 units.

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The given expression can be written in its simplest form by using the rule of exponents.

There are three components to the given expression, there is a negative base term -27, there is a base term with negative exponent x^-9, and both base terms have a fractional exponent 1/3.

Solving the term with negative exponent, the rule dictates that a term with a negative exponent can be written as its reciprocal. As x^-n=1/x^n,

x^-9=1/x^9

Hence, the expression becomes (-27/x^9)^1/3

The fractional exponent is applied to both the base terms. As (x^n)^m=x^nm,

(-27/x^9)^¹/₃=(-27)^1/3/(x^9*1/3)

Solving the negative term, the rule dictates that when there is a negative term with an odd number power, the negative sign can be extracted from the expression.

Hence,

(-27)^1/3=-(27^1/3)

Further simplifying the term, we know that 3^3=27,

-(27^1/3)=-(3^3*1/3)

Multiplying the powers for the entire expression,

-(3^3*1/3)/(x^9*1/3)=-3^1/x^3=-3/x^3

The simplest form of the expression (-27x^-9)^¹/₃ is -3/x^3

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The percent of change when 40 is increased to 83 to the nearest tenth is: C. 107.5% increase.

In Mathematics, there are two main types of percentage and these include the following:

Mathematically, percentage increase can be calculated by using this formula:

Percentage increase = [Final value - Initial value]/Initial value × 100

Substituting the given parameters into the formula, we have;

Percentage increase = [83 - 40]/40 × 100

Percentage increase = 43/40 × 100

Percentage increase = 1.075 × 100

Percentage increase = 107.5%.

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The sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

We need to find the sum of the measures of all the angles in all of the triangles shown in this diagram.

A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices.

The sum of all the angles of the triangle is equal to 180°.

From the figure, by counting, we get there are 20 triangles.

As we know, the sum of all the interior angles of a triangle is 180°.

So, the sum of the measures of all the angles in all of the triangles = The number of triangles × 180°

= 20 × 180°

= 3,600°

Therefore, the sum of the measures of all the angles in all of the triangles shown in the given diagram is 3,600°.

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Answer:

i don't know what the question is but the total amount of comunity service she must do is 32 hours

Step-by-step explanation:

2 x 8 = 16 16 x 2 or 16 + 16 = 32 thus she must complete 32 hours of comunity service and she has already completed 16 hours of comunity service so she has 16 hours left to complete.

hope this helped = )

The similar polygons, use proportion to find the value of each variable.

x= 40, y = 18

[tex]\frac{JK}{NM}[/tex] = [tex]\frac{KL}{ML}[/tex] = [tex]\frac{LJ}{LN}[/tex]

[tex]\frac{40}{16}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{45}{y}[/tex]

40*16 = 16*x

x= 40

40*y = 45*16

y = 18

In geometry, a polygon  may be a  plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain (or polygonal circuit). The bounded plane region, the bounding circuit, or  the 2  together,  could also be  called a polygon.The segments of a polygonal circuit are called its edges or sides. The points where two edges meet are the polygon's vertices (singular: vertex) or corners.  the inside  of a solid polygon is sometimes called its body. An n-gon  may be a  polygon with n sides; for example, a triangle  may be a  3-gon.

A simple polygon is one which does not intersect itself. Mathematicians are often concerned only with the bounding polygonal chains  of straightforward  polygons and they often define a polygon accordingly. A polygonal boundary  could also be  allowed to cross over itself, creating star polygons and other self-intersecting polygons.

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Answer:

The missing number is 8

Step-by-step explanation:

[tex]10,360 \div 37 \div 35 = 8[/tex]

It is an isosceles triangle.

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.

There are mainly three types of triangles:

Equilateral triangle

A triangle with three equal-length sides is said to be equilateral, matching what might also be referred as as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle. There are three equal sides to an equilateral triangle.

Isosceles triangle

A triangle with two equal sides is said to be isosceles.

Scalene triangle

A scalene triangle is a triangle wherein all 3 facets have distinct lengths. Also the angles of a scalene triangle have distinct measures. Some proper triangles may be a scalene triangle while the alternative angles or the legs aren't congruent.

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Answer: no

Step-by-step explanation:

A = 7, B = 13 and C = 6 then D = 11.1428571429. 3. A = 28, B = 34 and D =15 then C= 12.3529411765. 4. A = 13, B = 15, C = 2 and D = 33 then 13: 15