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The explicit formula for the sequence -28, -31, -34, -37, ..., is aₙ= -28 -3d.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

-28, -31, -34, -37, ...

The general formula of an arithmetic sequence:

aₙ= a₁ + (n)d,

where a₁ is the first term and d is the common difference.

First, we will find the common difference between consecutive terms.

Here,

a₁ = -28

To find the common difference:

a₂ - a₁ = -31 + 28 = -3

a₃ - a₂ = -34 + 31 = 3

a₄ - a₃ = -37 + 34 = 3

Hence, d = -3.

Substitute the values to the formula,

aₙ= a₁ + (n)d,

aₙ= -28 + (-3)d,

aₙ= -28 -3d

Therefore, aₙ= -28 -3d is the required sequence.

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Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

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Answer:

yes thats your answer

Step-by-step explanation:

Answer:

46 i think because 20+26 is 46

Answer: 256b

Step-by-step explanation: So, first we need to find the square root of 16b.

That'd be 4b, because a square root is when a number can be divided by a number, such as 4 can go into 16 4 times, and like 5 can go into 25 5 times. So, we got 4b

So, 4 to the power of 4 (ignore the b right now) is the same as 4 x 4 x 4 x 4.

So simplified, that'd be 16 x 4 (64). So, 64 x 4 = 256.

So, I'd be 256b

The function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

       [tex]f(x)=log_b(x)[/tex]

Hence, the function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

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The function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

What is a function?

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

The given function is f(x) = logbx.

So the function form would be the function of x is equal to the logarithmic of x having base b.

so this can be written as

[tex]f(x)=log_b(x)[/tex]

Hence, the function form of the given function would be  [tex]f(x)=log_b(x)[/tex].

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Answer:

Both

Step-by-step explanation:

You can find both from the given 85

The ratio of money earned in August to July is 5/4.

Now, According to the question:

Let's know

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Mason worked at the water park over the summer. He made $425 in June and $680 in July.

And if he made twice as much money In August as he did in June.

That means, he made $850 in August.

Then, The ratio will be :

= August / June

= 850/680

= 5/4

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Answer:

The hight of the box is 1.2 m

Step-by-step explanation:

250cm= 2.5m

100cm= 1m

2.5x1=2.5

3/2.5=1.2

2.5 x 1 x 1.2=[tex]3m^{3}[/tex]

Answer:

the answer is 6.63

Answer:

4

Step-by-step explanation:

:)

Answer:

  lower left (already identified)

Step-by-step explanation:

You want the graph showing x < 2.

The boundary line of the solution area will be x = 2. Because that line is not included in the space x < 2, the line is dashed. (Eliminates graphs on the right.)

The solution space includes values of x that are less than 2. That means they are to the left of the boundary line. Shading will be left of the dashed line. (Eliminates graphs on the top.)

The correct graph of x < 2 is the one at lower left, already highlighted in the image.

Answer:

point form is: (-7,2)

equation form is: x = -7, y = 2

Step-by-step explanation:

add the equations in order to solve for the first variable. plug this value into the other equations in order to solve for the remaining variables

pls mark as brainliest lol

The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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the range of the function shown in the graph -1 [tex]\leq[/tex] y[tex]\leq[/tex] 1.

All real numbers fall within the domain of the sine and cosine functions. Both the sine and cosine functions have a range of [1,1]. An angle's sine and cosine have the same absolute value as their respective reference angles.

An illustration of the function's range in the graphs of cos and sine

The cosine function's graph appears as follows: The range of the function y=cos(x) is 1y1, and the domain is all real numbers (cosine is defined for any angle measure).

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Answer:

I would say $55.............

Answer:

is there any other picture or part you did not show, because sales and week sis not enough for me

Step-by-step explanation:

Answer:

No, I will not simplify -164

Step-by-step explanation:

You can not Simplify -164

so the answer will be you can not simplify it

[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]

Answer:

Kumain ka Ng pansit para ka Maka sagot

Step-by-step explanation:

follow pleas helpme

Answer:

She missed 15 questions.

Step-by-step explanation:

25% of 60 = 15

(25/100) * 60 = 15

Therefore, she missed 15 questions.

Mark me brainliest and thenksss :))

To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.

The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N

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What the height would need  for this curve to be a density curve is; One-half

The criteria for a curve to be a density curve is as follows;

1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.

2. The area under the curve must always be equal to 1.

Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.

This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).

The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:

Area = ((3 + 1) × question mark)/2

Since the area under the curve must be equal to 1, we can set up the equation:

1 = ((3 + 1)  ×  question mark) / 2

Solving for question mark, we will:

The question mark = 2/4

The question mark = 1/2

Therefore, we can conclude that the height of the curve is  1/2

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Answer:218

explanation: 162 divided by 9 = 18 and 18 multiplied by 12 =218