Multiply. (√5+√11)(√5-√11)

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:

well, best i can do for you : F

Step-by-step explanation:

Calculator soup

I forgot how to do this stuff, sorry

Answer:

Actual cost = 35.89 + 43.65 = 79.54  so it is some what lower than estimated cost.

Step-by-step explanation:

[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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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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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:

The missing number is 8

Step-by-step explanation:

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

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!

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

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.

Answer:

$459

Step-by-step explanation:

60x3=180

$299+180=$459

[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]

Answer:115

Step-by-step explanation:

(4.25x) + 167= 117.35

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 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 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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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:

A

Step-by-step explanation:

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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Answer:

slope 1/3

y = -2

x=1/3-2

Step-by-step explanation:

slope 1/3

y = -2

x=1/3-2

Answer: D

Step-by-step explanation:

On the map, the separation between the two towns would be 5 cm.

Detailed explanation:

First, consider 2 cm and 30 miles as a ratio, which means that wherever you measure 2 cm with a ruler on a map, 30 miles will be scaled to that location.

Then, using some logic, we can state that if 2 cm = 30 mi, then 4 cm = 60 mi (double the 2 cm will result in doubling the 30 cm), and 1 cm = 15 mi (if you divide the 2cm by 2, 30mi will also be divided by 2). Because of this, 5cm (4cm + 4cm + 1cm) on the map equals 75mi (which is 30mi + 30mi + 15mi).

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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

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

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 = )

Using linear functions, it is found that:

a. The equations are given by: H(x) = 30 + 0.79x, R(x) = 75 + 0.55x.

b. The costs will be the same after 187.5 miles.

c. The estimate from the graph is reasonable, as it is the value of x for which both equations are equal.

A linear function is defined according to the following rule:

y = mx + b

In which:

For each function in the context of this problem, we have that:

Hence the equations for each company are given as follows:

The graph is given at the end of the answer, and from the intersection point, we have that the costs will be the same after 187.5 miles.

Numerically, this value is given as follows:

H(x) = R(x)

30 + 0.79x = 75 + 0.55x

0.24x = 45

x = 45/0.24

x = 187.5.

Hence the estimate from the graph is reasonable.

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-12

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

3