A sequence has a rule to subtract 3/4 from the previous term. Create a sequence using this rule with at least 5 rational numbers.

Answer:  0 and 1, in that order

The numbers   0   and   1   are respectively the additive and multiplicative identities of rational numbers.

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Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

Answer:

IT is B

Step-by-step explanation:

edge duh

The statement that best represents the function must be identified by reading the graph.

A) When  x < 0, the function is negative.

This is accurate; as you can see, the function is negative for x < 0 because it is below the horizontal axis.

We shall see that choice A is the proper one. "When x < 0, the function is negative."

The function tends to infinity on the positive side at an x close to zero.

The function tends to negative infinity at x close to zero on the negative side.

The function tends to zero as x's absolute value grows.

So we can conclude that this is an inverse function similar to:

y = f(x) = 1/x

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The  5 operations of functions are

1. Input

2. Processing

3. Output

4. Storage

5. Maintenance

Input: When a function is used, it takes in an input value. This input value is used to compute the output. For example, if a function is used to calculate the area of a circle, the input would be the radius of the circle.

Processing: Once the input value is taken, the function will use the input to perform some type of operation on it. For example, if the function is used to calculate the area of a circle, the operation would be to multiply the input by itself and then multiply it by the constant pi.

Output: The output of a function is based on the input. For example, if the function is used to calculate the area of a circle, the output would be the area of the circle.

Storage: Once the output of a function is computed, it can be stored for later use. This allows the same output to be used multiple times without having to recalculate the output.

Maintenance: Functions need to be maintained and updated over time. This can include updating the input, operation, and output, as well as any additional changes that might be needed. This ensures the function is up-to-date and still provides accurate results.

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Answer:

Hope it helps you!...............

Answer:

the probability is 0.00552

Step-by-step explanation:

If 93% are cured, the percentage not cured will be 100-93 = 7%

let p = probability of being cured = 93% = 93/100 = 0.93

q = probability of being uncured = 7/100 = 0.07

so we proceed to use the bernoulli approach;

we have this as;

P(X = n) = X C n p^n q^n-1

P(X = 3) = 6 C 3 * 0.93^3 * 0.07^3

P(X = 3) = 0.00552

The equation 11 = −4x²−x³ is a cubic polynomial.

Polynomial:

A polynomial is an algebraic expression containing indefinites and constants. Polynomials can be thought of as dialects of mathematics. They are used to represent numbers in almost all areas of mathematics, and are used in specific areas of mathematics such as mathematics  Critical analysis. For example, 2x + 9 and x2 + 3x + 11 are polynomials.

Cubic Polynomial:

The cubic polynomial is the polynomial with the largest exponent of the variables. H. Order of variables as 3. Based on the degree, polynomials are divided into four types: zero polynomials, linear polynomials, second order polynomials, and third order polynomials. The general form of a cubic polynomial is p(x): ax³ + bx² + cx + d, where a ≠ 0. where a, b, and c are coefficients and d is a constant, all of which are real numbers. An equation involving a cubic polynomial is called a cubic equation. Examples of cubic polynomials are p(x): x³ − 5x² + 15x − 6 and

r(z): πz³ + (√2)10.

Now,

A cubic polynomial is a polynomial of degree 3. A cubic polynomial has the form f(x)=a₃x³ +a₂x² +a₁ x+ a₀

​Here, the polynomial 11 = −4x² −x³

or x³+4x² +11 = 0 is a polynomial of degree 3 with coefficients a₁ = 0,

a₂ =4, a₃​ =1 and constant a₀= 11.

Hence, 11 = −4x² −x³  is a cubic polynomial.

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The composite function is the result of first applying the function (x^2 - 1) to the input and then applying the function (5x + 2) to the result. The final result of the composite function is 5x^3 + 2x - 3.

Step 1: Apply (x^2 - 1) to the input:

(x^2 - 1) = x^2 - 1

Step 2: Apply (5x + 2) to the result:

(5x + 2)(x^2 - 1)

= 5x^3 - 5x + 2x - 2

Step 3: Simplify:

5x^3 - 5x + 2x - 2

= 5x^3 + 2x - 3

A composite function is the result of applying two or more functions in succession. The order of operations for a composite function is to first apply the first function, then apply the second function to the result of the first, and so on. In the example given, the composite function

f(x) = (5x + 2) ∘ (x^2 - 1)

is the result of first applying the function

(x^2 - 1)

to the input and then applying the function (5x + 2) to the result. The calculation can be broken down into three steps: Step 1 is to apply (x^2 - 1) to the input to get x^2 - 1, Step 2 is to apply (5x + 2) to the result to get 5x^3 - 5x + 2x - 2,

and Step 3 is to simplify the result to get the final answer of

5x^3 + 2x - 3.

To summarize, the composite function

f(x) = (5x + 2) ∘ (x^2 - 1)

is the result of first applying the function (x^2 - 1) to the input, and then applying the function (5x + 2) to the

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Answer:

Simple, [tex]1/8=2/5x[/tex] so [tex]1/8/2/5=x[/tex] would become [tex]x=1/20[/tex], which is equal to 2/40 :)

Step-by-step explanation:

Answer:

14 minutes

Step-by-step explanation:

We can represent Xavier's running in the following ratio using the given information:

distance : time

13 miles  :  182 minutes

To get the answer to this problem, all we have to do is divide both sides of the ratio by 13, so that the left side is 1 mile.

[tex]13 \textrm{ miles} : 182\textrm{ minutes}\\\overline{\ \ \ \ 13 \ \ \ \: } \ \ \: \overline{\ \ \ \ \ \ \, 13 \ \ \ \ \ \ }[/tex]

1 mile     :   14 minutes

It takes Xavier 14 minutes to run 1 mile.

Step-by-step explanation:

1st,

the area of the rectangular =7×5=35

area of triangle =3×4/2=6

area of square =2×2=4

area of shadowed region =35-(6+10)=25

According to the question,

A) Find the probability that a point chosen randomly inside the rectangle will be in the triangle. Show all calculations. Round answer to the nearest hundred

answer:-

probability of a point in rectangle inside triangle =6/35=0.17

B) Find the probability that a point chosen randomly inside the rectangle will be in the shaded region. Show all calculations. Round answer to the nearest hundredth.

answer:

probability of that a point chosen randomly inside the rectangle will be in the shaded region=25/35=5/7=0.71

Answer:

[tex] \frac{-5}{28} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]

Required:

Solve

Solution:

[tex] \frac{-1}{5} * (\frac{3}{4} + \frac{1}{7}) [/tex]

Apply distributive property by multiplying each reaction in the box by -⅕

[tex] (\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7}) [/tex]

[tex] \frac{-3}{20} + \frac{-1}{35} [/tex]

Add together. Common denominator is 140. Therefore:

[tex] \frac{-21 + (-4)}{140} [/tex]

[tex] \frac{-25}{140} [/tex]

Simplify further

[tex] \frac{-5}{28} [/tex]

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

The area (A) of the shaded region is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex]

   = π × 6² × [tex]\frac{\frac{4\pi }{9} }{2\pi }[/tex] ← cancel π and 2π by π

   = 36 × [tex]\frac{\frac{4\pi }{9} }{2}[/tex]

   = 18 × [tex]\frac{4\pi }{9}[/tex]

   = 2 × 4π

   = 8π ≈ 25.1 cm² ( to 1 dec. place )

10,20,30,40,50

Here, 30 is both mean and median.

Answer:

1,2,3.

Step-by-step explanation:

It's simple. But here's the math.

1+2+3÷3=2

And the median of the number is 2.

The two spaceships will meet in 8 hours if the second spaceship is traveling at 90. 000 km/hr.

To calculate the time it will take for the two spaceships to meet, you must use the equation Distance = Rate x Time. Since the first spaceship has a higher rate of speed, it will reach the second spaceship in less time than it would take the second spaceship to reach the first.

This means that the time it takes for the two spaceships to meet will be equal to the time it takes for the first spaceship to travel the distance between the two space stations. We can use the equation to solve for time: Time = Distance/Rate. In this case, the distance is 710,000 km and the rate is 110,000 km/hr, so the time is 6.45 hours.

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When a four-digit number is divisible by nine and is written as 3AA1, the digit A stands for 7.

A number is itself divisible by nine if the total of its digits is also nine digits.

Multiples in mathematics are the outcomes of multiplying an integer by a certain number. a multiple of 9 is a number that divides by nine.

By utilizing the aforementioned attribute, we can

3 + A +A +1 = 9, OR 18, OR 27

4 + 2A = 9, OR 18, OR 27

using 18

2A = 18 - 4

2A = 14

A = 7

therefore we can say that the number is  3771

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Answer:

A(1) = 3, A(2) = 5, A(3) = 8, A(4) = 12, A(5) = 17

Step-by-step explanation:

Given A(n) = n + A(n–1) a1 = 3.

A(1) = 3.

A(2) = (2) + A(2–1)

= (2) + A(1)

= (2) + (3) = 5

A(3) = (3) + A(3-1)

= (3) + A(2)

= (3) + (5) = 8

A(4) = (4) + A(4–1)

= (4) + A(3)

= (4) + (8) = 12

A(5) = (5) + A(5–1)

= (5) + A(4)

= (5) + (12) = 17

Developer has 627264 square feet land available.

The minimum permissible quantity of an asset that is accepted for purchasing.

How many lots the developer has as per question?

A developer wants to develop 18-acre property = 784080 square feet area

he notices that street and common area will take up about 20% of total area.

hence, the remaining area for developing works = 80%

the amount of land rest for the developer = 784080 ×80 /100

                                                                    = 627264 square feet.

there is a rule that minimum lot size is to be 10000 square feet for developing works,

the above amount 627264 square feet lot can the developer have on this property that is higher than the minimum lot value.

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On solving thr provided question, by help of arithmetic progression, we got to know that a10 = 207

There are two approaches to define arithmetic progressions (AP): The difference between any two successive terms in an arithmetic sequence must always be equal, and it is sometimes referred to as a series in which all terms except the first are created by adding a predetermined number to the preceding term.

9,15,25..............

15-9 = 6

25-15 = 10

a4 - 25 = 14 => a4 = 39

frequently referred to as a series in which all terms save the first are formed by adding a predefined number to the preceding term since the difference between any two succeeding terms in the sequence must always be equal.

a5-39 = 18 => a5 = 57

a6-57 = 22 => a6 79

...

...

...

...

...

a10 - 169 = 38 => a10 = 207

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The order of the quantities in an inequality matters. Therefore, it is true.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The most frequent application is to size-compare two numbers on a number line.

When resolving an inequality, you can do one of the following: Add the same amount to each side; Subtract the same amount from each side; Multiply or divide each side by the same positive amount. You must flip the inequality symbol if you multiply or divide each side by a negative number.

Therefore, the order matters.

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Answer:

B) 81 and 20°

Step-by-step explanation:

In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

4x-0.5=x+7

4x-x=7+0.5

3x=7+0.5

3x=7.5

x=2.5

hope this helps

Answer:

a) Its first term, a₁ -1,190

b) Its second term, a₂ = -1,186

c) Its third term, a₃ = -1,182

Step-by-step explanation:

The 100th term of the arithmetic progression, AP = 406

The common difference of the AP = 4

The formula to find the nth term of an AP, aₙ is given as follows;

aₙ = a + (n - 1)·d

Where;

aₙ = The nth term of the AP

a = The first term of the AP

a) Given the 400th term and the common difference, we have;

a₄₀₀ = 406 = a + (400 - 1) × 4

406 = a + 399 × 4

a = 406 - 399 × 4 = -1,190

The first term of the AP, a = -1,190

b) The second term of the AP, a₂ = -1,190 + (2 - 1) × 4 = -1,186

The second term of the AP, a₂ = -1,186

c) The third term of the AP, a₃ =  -1,190 + (3 - 1) × 4 = -1,182

The third term of the AP, a₃ = -1,182.

Answer:

A translation is a type of transformation that moves each point in a figure the same distance in the same direction.

Step-by-step explanation:

Translations are often referred to as slides. You can describe a translation using words like "moved up 3 and over 5 to the left" or with notation.

The independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).

In this scenario, the amount of Neil's bonus (B) is dependent on the number of hours he works (h). The number of hours he works is the input or independent variable, while the amount of bonus he receives is the output or dependent variable. It can be said that the number of hours he works is the cause and the amount of bonus is the effect.

The equation is B = f(h) where f is the function that relates the two variables.

Thus, the independent variable is h (the number of hours Neil works) and the dependent variable is B (the amount of Neil's bonus).

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Complete Question is-

Neil works as a consultant at a software company and the amount of his annual bonus is based on the number of hours he works, which variable is independent and which is dependent? With B as the amount of Neil's bonus, and h as the number of hours Neil works.

Answer:

1

Step-by-step explanation:

[h(-4) - h(-1)] ÷ ((-4-(-1))

[(16-24+5) - (1-6+5)] ÷ -3

(-3-0) / -3

-3/-3 = 1

Step-by-step explanation:

bit.^{}

ly/3gVQKw3 here in this link

Answer: the answer is 31 I just submitted it

Step-by-step explanation: