MATHEMATICS HIGH SCHOOL

Which of the following represents "next integer after the integer n"?On
On + 1
O2n

Answers

Answer 1

Answer:

Answer:

Option B.

Step-by-step explanation:

Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.

For examples : ...,-3,-2,-1,0,1,2,3,...

It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.

We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.

Required expression $=n+1$

Hence, the next integer after the integer n is n+1.

Therefore, the correct option is B.

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Cassie views the constellation with her telescope. The constellation is Aquarius. She received the telescope for her birthday.Cassie views the constellation with her telescope. The constellation is Aquarius. She received the telescope for her birthday. Combine the three sentences by adding appositives and/or appositive phrases and punctuating accordingly.

The price of a pair of shoes is $28. The sales tax rate is 2.39 percent. What is the total amount you would pay if you bought these shoes?

Answers

Answer:

Total amount pay for the shoes is $28.67 .

Step-by-step explanation:

As given

The price of a pair of shoes is $28.

The sales tax rate is 2.39 percent.

2.39% is written in the decimal form .

$= (2.39)/(100)$

= 0.0239

Sales tax price = 0.0239 × Price of pair of shoes

= 0.0239 × 28

= $ 0.6692

= $0.67 (Approx)

Total shoes price = Price of pair of shoes + Sales tax price

Put all the values in the above

Total shoes price = $28 + $0.67

= $ 28.67

= $28.67

Therefore the total amount pay for the shoes is $28.67 .

$28.67 Multiply 28 x 0.0239 = 0.6692 round up to .67 and then add that answer to 28 and you get the answer of 28 dollars and 67 cents

One yardstick for measuring how steadily—if slowly—athletic performance has improved is the mile run. In 1958, the local record for the running of a certain distance was 3 minutes, 59.3 seconds, or 239.3 seconds. In the half-century since then, the record has decreased by 0.5 seconds per year.

Answers

Answer:

They will hit 180 seconds in 118.6 year

Step-by-step explanation:

Let M be the record for the mile (in seconds)

Let x be the year after 1958

So, x=(year)-19548

We are given that In the half-century since then, the record has decreased by 0.5 seconds per year

So, slope = m = 0.5

Now we will use point slope form

y = mx+c

So, we can express M as,

$M=239.3-0.5 * x$

Now we are supposed to find when they will hit 180 seconds

Substitute M = 180 in equation

180=239.3-0.5x

x=118.6

So, they will hit 180 seconds in 118.6 year

Final answer:

You can model the decreasing record time with the linear equation y=239.3-0.5x, where x is years since 1958 and y is the run time in seconds. By using this model, you can find the record time for any given year.

Explanation:

The subject of this question is Mathematics, specifically linear equations. The question mentions an initial record of 239.3 seconds for a run which decreases by 0.5 seconds every year. We are tasked to find the running time after a certain number of years.

Let's let x represent the number of years since 1958 and y represent the number of seconds to run the race. Based on the information provided:

The starting time (y-intercept) in 1958 was 239.3 seconds.
The rate of decrease (slope) is 0.5 seconds per year.

Therefore, the relationship between x and y can be expressed by the linear equation: y=239.3-0.5x

To find a certain year's running time, we substitute the number of years passed since 1958 into x in the equation above and solve for y. For example, to find the running time in 50 years after 1958 (2008), we replace x with 50: y = 239.3 - 0.5(50) = 214.3 seconds.

Learn more about Linear Equations here:

brainly.com/question/32634451

#SPJ3

Identify the problem with the following study.An internet poll on a website asks people to indicate whether or not they have a cable TV subscription. 1974 people respond with 847 indicating that they do have a cable TV subscription.

precise numbers

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nonresponse

voluntary response

Answers

I think the problem with the following study is the precise numbers.

Though an exact number of correspondents responded to the internet poll survey, the fact that the poll was conducted through the internet means that there is a possibility that these responses came from all over the world. It is not limited to a specific area.

Mentally estimate the total cost of items that have the following prices: $1.85, $.98, $3.49, $9.78, and $6.18. Round off your answers to the nearest half-dollar.

Answers

Twenty two and a half dollars

119 the exact answer is 119.3 though

Write a equation of the line that passes through (-2,-3) and has a slope of 5

Answers

To get the Slope-Intercept form of a line, you first need to put it into Point-Slope form, which is $y - y_1 = m (x - x_1)$ where $x_1$ and $y_1$ are the given coordinates and m is the given slope. So, plug your given information into the equation.

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what is the surface area of a conical grain storage tank that has a height of 24 meters and a diameter of 16 meters? round the answer to the nearest square tenth.

Answers

The basis of this cone is a circle with a diameter d = 16m. This information is sufficient to calculate
1. The surface of the wheel . We use the formula

$A = \pi r^(2)$

2. the radius of the wheel needed to the formula for calculating the area of a circle and the cone

d = 16m
1/2d = r = 1/2*16m = 8m
..................................................................................................
Area base
$P = \pi r^(2) = \pi (8m)^(2) = 64 \pi m^(2)$
..................................................................................................
The surface area

$A = \pi rl$
l - creates a cone = ?

Height , forming a cone and the radius of a circle formed triangle . Two known sides is possible to calculate the third side ( the cone ) of the Pythagorean Theorem

a = r = 8cm
b = h = 24m
c = l = ?

a² + b² = c²
r² + h² = l²
l = √ (r² + h²) = √ [ ( 8m)² + ( 24m)² ] = √ (64m² + 576m²) = √ (640 m²)= √ (8*8*10m²) = 8√10m

The lateral surface of the cone
A = πrl = π*8m *8√10m = 64√10πm²

The total area of the cone = The base area of the side surface of +

A = 64√10πm² + 64πm² = 64πm² *(√10 + 1)

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