determine the number of solutions in $x$ of the congruence $64x\equiv 2\pmod {66}$ such that $0< x\le 100$.

Answer:

The greatest number is 11

Step-by-step explanation:

It is 11 because 3+3=6+15=21

35-21=14

14/1.25=11.2

hope this helps

Let's show that the given function is a bijection and give its inverse. The function is defined as:f : Z → N with f (n) = 2n if n ≥ 0 and f (n) = −2n − 1 if n < 0. Let's consider the first condition where n is greater than or equal to 0, we have:f (n) = 2nOn the other hand, if n is less than 0, we have:f (n) = −2n − 1We need to show that the given function is one-to-one and onto to prove that it is a bijection.Function is one-to-one:Let a, b ∈ Z such that a ≠ b. Then we need to prove that f(a) ≠ f(b).Case 1: a ≥ 0 and b ≥ 0Then we have:f(a) = 2af(b) = 2bSince a ≠ b, we can say that 2a ≠ 2b. Therefore, f(a) ≠ f(b).Case 2: a < 0 and b < 0Then we have:f(a) = -2a-1f(b) = -2b-1Since a ≠ b, we can say that -2a-1 ≠ -2b-1. Therefore, f(a) ≠ f(b).Case 3: a ≥ 0 and b < 0Without loss of generality, let's assume that a > b.Then we have:f(a) = 2af(b) = -2b-1We know that 2a > 2b. Therefore, 2a ≠ -2b-1. Hence, f(a) ≠ f(b).Case 4: a < 0 and b ≥ 0Without loss of generality, let's assume that a < b.Then we have:f(a) = -2a-1f(b) = 2bWe know that -2a-1 < -2b-1. Therefore, -2a-1 ≠ 2b. Hence, f(a) ≠ f(b).Since the function is one-to-one, let's check if the function is onto.Function is onto:Let y ∈ N. We need to find an integer x such that f(x) = y.Case 1: y is even (y = 2k where k is a non-negative integer)Let x = k. Then we have:f(x) = f(k) = 2k = y.Case 2: y is odd (y = 2k+1 where k is a non-negative integer)Let x = -(k+1). Then we have:f(x) = f(-(k+1)) = -2(k+1) - 1 = -2k - 3 = 2k+1 = y.Therefore, we have shown that the given function is one-to-one and onto. Hence, the given function is a bijection.The inverse of the function f is defined as follows:Let y ∈ N. Then we need to find an integer x such that f(x) = y.Case 1: y is even (y = 2k where k is a non-negative integer)Let x = k/2. Then we have:f(x) = f(k/2) = 2(k/2) = k = y.Case 2: y is odd (y = 2k+1 where k is a non-negative integer)Let x = -(k+1)/2. Then we have:f(x) = f(-(k+1)/2) = -2(-(k+1)/2) - 1 = k = y.Therefore, the inverse of the function f is given by:f^-1(y) = k/2 if y is even.f^-1(y) = -(k+1)/2 if y is odd.

The federal government of the United States spent over 28.7 billion dollars on the national school lunch program for the fiscal year of 2022.

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The number of students who do not buy lunch is 624 students - 420 students = 204 students.

The circle graph represents the proportion of students who buy lunch and those who don't. To find the number of students who don't buy lunch, we need to subtract the number of students who buy lunch from the total number of students.

Since 255° represents the proportion of students who buy lunch, we can use this to find the number of students who buy lunch. To do this, we divide the number of degrees by 360° and multiply by the total number of students, 624:

(255° / 360°) x 624 students = 420 students

Therefore, the number of students who do not buy lunch is 624 students - 420 students = 204 students.

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Answer:

G its G

Step-by-step explanation:

Answer:

I am pretty sure the tip was 6 dollars but I don't know, sorry if it is wrong

Step-by-step explanation:

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

Answer:

They ate 5/12 of the box together

Step-by-step explanation:

We want the same denominator (the bottom number). So we multiply 1/4 by 3/3 to get 3/12. Then we add 3/12+2/12 and we get 5/12.

The tool that ensures greater accuracy by aligning the numbers scale with the edges or points to be measured is a Vernier caliper.

A Vernier caliper is a tool used to accurately measure small lengths, widths, and diameters with precision. It has two parts: an outer frame and a sliding vernier scale. The frame is used to place the object to be measured, while the vernier scale is moved along the frame to measure the object's length.

The graduations on the vernier scale are smaller than the main scale graduations, allowing for more precise measurements to be made. This makes the Vernier caliper a more accurate measuring tool than a standard ruler or tape measure.

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Answer:

Step-by-step explanation:

Need help. Not understanding

Step-by-step explanation:

espanolgkvigkvkvkckvkgif

Step-by-step explanation:

-3n + 3 > -11

-3n > -14

3n < 14

n < 14/3

14/3 = 4.66666666...

the only positive integers that are smaller than 4.666666... are

4, 3, 2, 1

their sum is

4+3+2+1 = 10

The value of p is -5

Simply use cross multiplication :

The process of multiplying numbers in the shape of a fraction is called cross multiplication. Cross multiplying, also known as cross multiplication, is the process of multiplying the numerator of one fraction by the denominator of the other fraction on the other side of an equal symbol. Cross multiplication is a method for comparing fractions.

Both fractions with like and unlike parts are multiplied across. When employing the cross-multiplication procedure, we multiply the denominators as well as the numerators when a fraction is dissimilar, or when the denominators of two fractions are not alike.

\(14p-8=22+20p\\or, 14p-20p=22+8\\or, -6p=30\\or, p=-\frac{30}{6} \\or, p= -5\)

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The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

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Alysha would need approximately $34,234.59 in her bank account right now to be sure she always has enough for rent.

To calculate how much money Alysha would need in her bank account, we need to consider the monthly rent of $850 and the requirement to pay the first and last month's rent up front.

Since Alysha is renting for three years, she will need to pay rent for 36 months. This means she will need to have enough money to cover 36 months of rent.

To calculate the future value of her required funds, we can use the formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Here, the present value is the total amount of rent Alysha needs to cover (36 * $850), the interest rate is 3.0% (or 0.03), and n is the number of compounding periods (36).

Using the formula, the future value of Alysha's required funds would be:
Future Value = (36 * $850) * (1 + 0.03)³⁶

Simplifying this calculation, Alysha would need approximately $34,234.59 in her bank account right now to be sure she always has enough for rent.

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A composition that is symmetrical can help to create balance and harmony, making it pleasing to the eye. It is a useful concept in many areas of art, design, and architecture.

If a line is drawn down the center of a composition and each side corresponds to the other, then the composition has symmetry. Symmetry is a property that occurs when a shape or object is identical or nearly identical when divided by a line or plane. It is a fundamental concept in mathematics and art, particularly in geometry, algebra, and design.

A composition is said to be symmetrical if there is an axis of symmetry. An axis of symmetry is a line that divides a shape into two identical halves. When a composition has an axis of symmetry, it can be mirrored or reflected over that line to create a balanced and harmonious design.

Therefore, a composition that is symmetrical can help to create balance and harmony, making it pleasing to the eye. It is a useful concept in many areas of art, design, and architecture.

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Answer:

See below

Step-by-step explanation:

Add 5 to each preceding number

               \(a_{n}\) = (\(a_{n-1}\))+5

1 9  9

2  14   [9+5]

3  19   [14+5]

4  24  [19+5]

5  29  [24+5]

6 34 34  [29+5]

15 8/9 less than the product of 5 and a number b​:

Answer: -24x^7

Step-by-step explanation:

pemdas so you do parentheses first therefore getting  (2x^2)^3x3x

remove the parentheses

do -8x^6x3x

after that you end up with -24x^7

Simplify (-2x^2) ^3 by raising each term by 3:

-2^3x^6

Now you have

-2^3 x^6 times 3x

-2^3 = -8

x^6 tomes x = x ^7

-8 x 3 = -24

Answer is -24x^7

Answer:greater

Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?

Answer:

$89.68 was their total bill (bill + tip)

Step-by-step explanation:

Turn the percentage into a decimal:

76 x 0.18 = 13.68

13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.

13.68 + 76 = $89.68

Answer:

3x ^3  +4x^2  −2

Step-by-step explanation:

STEP

1

:  Equation at the end of step 1

 (((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)

STEP  2  Equation at the end of step

 (((5•(x3))+3x2)+1)-(2x3-x2+3)

STEP  3  :

Equation at the end of step

 ((5x3 +  3x2) +  1) -  (2x3 - x2 + 3)

STEP

4:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 3x3+4x2-2

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  -2.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00      

     -1       3        -0.33        -1.67      

     -2       1        -2.00        -10.00      

     -2       3        -0.67        -1.11      

     1       1        1.00        5.00      

     1       3        0.33        -1.44      

     2       1        2.00        38.00      

     2       3        0.67        0.67    

Hope This Helps

Answer:

Hello! answer: 18

Step-by-step explanation:

The mode is just the number that is showed the most in a data set. Since 18 is showed the most 18 is the answer Hope that helps!

Answer:

18

Step-by-step explanation:

The mode is the number that appears the most in a group of numbers. 18 appears twice, while the rest of the numbers only appear once.

Answer:

10 and 11

Step-by-step explanation:

10 and 11.

These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.

If this helped, please rate and give THANKS!

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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The expressions 3(y – 2) + 2(y – 2) and 5(y-2) are equivalent because they simplify to the same expression.

To show this, let's simplify 3(y – 2) + 2(y – 2):
3(y – 2) + 2(y – 2)
= 3y – 6 + 2y – 4
= 5y – 10
Now let's simplify 5(y-2):
5(y-2)
= 5y – 10
As we can see, both expressions simplify to the same expression, 5y – 10. Therefore, the expressions 3(y – 2) + 2(y – 2) and 5(y-2) are equivalent.

This is important in algebra because it allows us to manipulate expressions and equations without changing their meaning or solutions. We can replace one expression with an equivalent one to make it easier to work with or to solve an equation.The expressions 3(y – 2) + 2(y – 2) and 5(y-2) are equivalent because when simplified, they both result in the same mathematical expression. Here's the justification:
For the first expression, 3(y – 2) + 2(y – 2), distribute the coefficients:
3y - 6 + 2y - 4.
Now, combine like terms:
3y + 2y = 5y and -6 - 4 = -10.
So, the simplified expression is 5y - 10.
For the second expression, 5(y-2), distribute the coefficient:
5y - 10.
As you can see, both expressions simplify to 5y - 10, making them equivalent.

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3x≤-6

x=-2

mark it on the x axis and then shade to the left

Answer:

x≤-2

Step-by-step explanation:

Answer:

b= (-6,-7)

c= (-6,-2)

d= (0,-2)

e= (4,-7)

Step-by-step explanation:

The value of the part of side of triangle given as x is equal to 11/3 in simplified fraction.

What is fraction?

A fraction is referred to as the part of something a whole in maths. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter (¼). Fractions can make calculations faster and easier through making it easier to distribute and judge different numbers. The depiction of fractions appears easier than when decimal values are used.

As given in the question, in the given triangle DE is parallel to AC,

It implies that the ration of the sides are equal.

i.e. AD/DB = CE/EB

Putting the value from the figure given in the question,

we get,

11/x = 9/3

11/x = 3

x = 11/3

Therefore, The value of the x is 11/3 in the form of simplified fraction.

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