-2,-7,-12 ,.... is an arithmetic sequence Find the sum of its first 20 terms ?​

Answer:

24 inches.

Step-by-step explanation:

Add em' all up cuz.

Answer:

It should be 30 I think

Step-by-step explanation:

I first found the perimeter of the rectangle and then the triangle and added them both together

The number of total books there to start with were 70

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Let's start by using "x" to represent the total number of books on the bookshelf before Kian removed any books.

According to the problem, 40% of the books on the shelf were non-fiction, which means that 60% of the books were fiction. We can express this as an equation:

0.4x = number of non-fiction books

0.6x = number of fiction books

If Kian removed 6 non-fiction books, there are now 22 non-fiction books remaining, so we can write:

0.4x - 6 = 22

Solving for x, we can add 6 to both sides and then divide by 0.4:

0.4x = 28

x = 70

Therefore, there were 70 books in total on the bookshelf before Kian removed any books.

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Answer:

11x-15 on one side then 5x-13 on the other

Step by Step:

replace the x with 13, 11(13)-15= 128

5(13)-13=52

128+52= 180!

The four basic measurements that serve as the foundation for other units of measure are length, mass, time, and temperature.

Length is a measure of distance between two points, typically measured in meters (m) within the International System of Units (SI). Mass is the amount of matter in an object, measured in kilograms (kg) in the SI system. Time refers to the duration or interval between events and is measured in seconds (s) within the SI system.

Lastly, temperature is a measure of the average kinetic energy of particles in a substance, represented in degrees Celsius (°C) or Kelvin (K) in the SI system.

All other units of measure are defined and compared to these four basic measurements. For instance, speed is derived from the combination of length and time (e.g., meters per second). Similarly, force is derived from mass and acceleration, which itself is derived from the change in velocity over time (e.g., newtons).

The combination and comparison of these fundamental measurements enable scientists, engineers, and other professionals to quantify and analyze various phenomena in the physical world.

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Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

h(x) = 2x + 4

let y =h(x)

y = 2x + 4

To find the inverse, we interchange the x and y

x = 2y + 4

we make y the subject of formula.

subtract 4 from both sides of the equation:

x - 4 = 2y + 4 - 4

x - 4 = 2y

DIvide both sides by 2:

(x-4)/2 = 2y/2

(x-4)/2 = y

Hence, the inverse of the function:

Answer:

draw a line straight down through p

Answer:

You could use 3.14 or 22/7

Step-by-step explanation:

It should be what you're asking, if not, tell me and I'll give you another answer.

:)

Answer:

use 22/7 or 355/133, but 355/133 is not very commonly used and is unwieldy.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

5/2=15=6=2.5

Answer:

2.5

Step-by-step explanation:

Since there is 5 cups of flour for 2 cups of vanilla, then all you need to do is divide 5 by 2.

5/2 is 2.5

Hope this helped :)

Answer:

The answer is 57.2

This is correct

0.020 is a probability for student selects at least 6 .

What is a probability simple definition?

There are two ways to do it. You can either interpret this as

One minus the probability that the student will guess 5 or fewer

correct answers with a probability of a correct answer being = 1/4  ⇒      

0.0197277069

The probability that the student will guess 4 or fewer wrong answers

with a probability of a wrong answer being = 3/4

  binomcdf (10,3/4,4)

     = 0.0197277069

Either way it rounds to 0.020

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The perimeter of the triangle is 188.1 m

The perimeter of a triangle can be determined by adding the three lengths of the triangle.

From the image, the coordinates of vertices of the triangle are:

(-3, 3), (-3, -2) and (3, 3)

distance between (-3, 3) and (-3, -2) is:

3-(-2) = 5  (we use y coordinates only because x are the same)

       = 50 m  (Each unit on the map represents 10 meters)

distance between (-3, 3) and (3, 3) is:

3-(-3) = 6    (we use x coordinates only because y are the same)

       = 60 m

distance between (3, 3) and (-3, -2) is:

= √(50² + 60²)     (Pythagoras)

= 78. 1 m

Perimeter = 50 + 60 + 78.1 = 188.1 m

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Complete Question

Check attached image

Comparing the areas of triangles ABC and DEF, we can see that both triangles have the same area of 6 square units.

To compare the areas of triangles ABC and DEF, we can use the formula for calculating the area of a triangle, which is:

Area = (1/2) * base * height

Triangle ABC:

The base of triangle ABC can be calculated as the distance between points (4, 2) and (7, 2), which is 7 - 4 = 3 units.

The height of triangle ABC can be calculated as the distance between points (4, 2) and (4, 6), which is 6 - 2 = 4 units.

Therefore, the area of triangle ABC is (1/2) * 3 * 4 = 6 square units.

Triangle DEF:

The base of triangle DEF can be calculated as the distance between points (-2, -1) and (4, -1), which is 4 - (-2) = 6 units.

The height of triangle DEF can be calculated as the distance between points (4, -1) and (4, -3), which is -3 - (-1) = -2 units (taking the absolute value, the height is 2 units).

Therefore, the area of triangle DEF is (1/2) * 6 * 2 = 6 square units.

Comparing the areas of triangles ABC and DEF, we can see that both triangles have the same area of 6 square units.

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Answer:

A is the answer(Area of ABC is greater than area of DEF. )

Step-by-step explanation:

Answer: 3 hours and 15min

Step-by-step explanation:

Answer:

3 houurs and 9 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Same tape length measures 63 units on top and 7 times m on bottom.

Make an equation and solve for m:

Count the boxes noted with m

Now

Boxes are equal

\(\\ \sf\longmapsto 7m=63\)

\(\\ \sf\longmapsto m=63/7\)

\(\\ \sf\longmapsto m=9\)

Answer:

1,200 total on truck

Step-by-step explanation:

48=4% loaded on a truck and they have 96% left to load

So set up a proportion and it should look like this

48 over x = 4 over 100

48/x=4/100

Do cross multiplication 100×48= 4,800÷ 4 = 1,200 total on truck

=1,200 total on truck

Hope this helps, have a nice day! :D

Answer:

camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012

Step-by-step explanation:

if you rewrite in standard notation

camera A : 0.0012

camera B : 0.00098

camera C : 0.0011

camera D : 0.00087

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The statement "If the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent" is true.

Let's understand why?

Explanation:

An argument with a tautology conclusion is an argument that arrives at a conclusion that is always true, regardless of the truth values of the premises. In other words, it is impossible for the premises to be true while the conclusion is false.

This means that any attempt to find a counterexample that disproves the conclusion will always fail, as there is no possible scenario in which the conclusion is false.

The counterexample set of an argument is the set of all possible scenarios in which the premises are true but the conclusion is false. If the conclusion is a tautology, then there is no possible scenario in which the conclusion is false, and thus the counterexample set is empty. An empty counterexample set is equivalent to an inconsistent counterexample set, as it means that there is no consistent scenario in which the conclusion is false.

Therefore, if the conclusion of an argument is a tautology, then the counterexample set of that argument must be inconsistent.

Hence, the statement is true.

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Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

\(x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}\)

For our case, the solutions will be:

\(n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}\)

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

We want to complete the steps to convert the given quadratic equation into vertex form.

Eventually we will get:

y = (x + 1)^2 - 2

For a quadratic equation with the vertex (h, k), the vertex form is:

y = a*(x - h)^2 + k

Here we start with:

y = x^2 + 2x - 1

1) First, we complete the perfect-square trinomial, we need to add and subtract 1 to get that:

y = x^2 + 2x - 1 + 1 - 1

2) Now we rewrite the equation to be able of completing squares:

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

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

3) Now we complete squares

y = (x + 1)^2 - 2

And this is the equation in vertex form, where you can see that the vertex is the point (-1, - 2)

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Answer:

\(\frac{1}{3^{6}}\)

Step-by-step explanation:

\(\frac{3^{-7}}{3^{-1}} \\\\\frac{1}{3^{-1+7}} \\\\\frac{1}{3^{6}}\)

Hope this helps!

Answer:

huh?

Step-by-step explanation:

Based on the given parameters, we can calculate the maximum values of the construction site. The gross floor area is 9,800m², with 1,800m² allocated for lift lobby and corridor, and 200m² for lift machine room and water tank. The construction cost is $8,000/m².

The design and tendering period is 6 months, and the construction period is 16 months. The expected usage is rental at $200/m² per month, with a letting void of 2 months. The interest rate for short-term finance is 12% per annum, and the initial yield is 5%.

To calculate the maximum values of the construction site, we need to consider various factors. The gross floor area, floor area allocation, and construction cost determine the overall cost of construction. The design and tendering period and construction period provide information on the timeline of the project.

The expected usage and rental rate help estimate the potential income from renting out the space. The letting void represents the period when the space may remain unoccupied, impacting the potential income.

The interest rate for short-term finance is relevant for determining the financing costs associated with the construction project. The initial yield indicates the expected return on investment based on the rental income.

To obtain the maximum values, a comprehensive analysis considering all these factors is required. This analysis would involve calculating the total construction cost, estimating the potential rental income, factoring in the letting void and financing costs, and assessing the initial yield.

Without specific values or formulas provided, it is not possible to provide the exact maximum values based on the given parameters. A detailed financial analysis would be necessary to determine the precise figures.

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Answer:

I am solving this Question since morning but I haven't got the answer yet

The number of children that were admitted = 196

The number of adults that were admitted = 160

Given that,

The admission fee at an amusement park for children =  $1.25

The admission fee at an amusement park for adults = $6.80

On a certain day, people entered the park = 356

The admission fees collected totaled = $1333

Let us assume,

The number of children that were admitted represented as = x

The number of adults that were admitted represented as = y

On a certain day, 356 people entered the park.

So,

We can write,

x + y = 356  

x = 356 - y                                    (Equation-1)

The admission fee at the amusement park is $1.25 for children and $6.80 for adults.

The admission fees collected on that day totaled $1333.

Then the,

1.25x + 6.8y = 1333                      (Equation-2)

Substituting x = 356 - y into equation 2, it becomes

1.25x + 6.8y = 1333

1.25(356 - y) + 6.8y = 1333

445 - 1.25y + 6.8y = 1333

-1.25y + 6.8y = 1333 - 445

5.55y = 888

y = 888 / 5.55

y = 160

Then we can substitute y value in equation - 1,

x = 356 - y      

x = 356 - 160

x = 196

Therefore,

The number of children that were admitted = 196

The number of adults that were admitted = 160

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