If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n). ​

Answer:

i think it is 300%

Step-by-step explanation:

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

Answer:

x = -35

Step-by-step explanation:

I hope this helps!

Answer: Choice B

h(c) = 1 for at least one c between -3 and 4

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Explanation:

Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.

Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.

The region inside this rectangle is all we care about.

We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.

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After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.

This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).

This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.

This says that for some input between -3 and 4, it's possible to get an output of 1.

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Here's a real world example of the intermediate value theorem.

Let's say the endpoints are A and B, and they are two towns.

The h(x) curve is a road connecting the towns.

To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.

side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).

Answer:

Yes

Step-by-step explanation:

It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.

Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.

According to the question;

Although, according to line geometry;

The slope of two perpendicular lines are related as follows;

The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.

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Answer:

your answer should be, D.135

i hope this helps!

Answer:

D) 135

Step-by-step explanation:

--------------- = 180 degrees

It's split and the other half is 45 degrees.

All you have to do is subtract.

180-45=135

<8 = D) 135

Answer:

The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number

Step-by-step explanation:

The given information are;

The width of the swimming pool = 75 ft. 1 in.

The length of swimming pool = 60 ft.

The depth of the swimming pool = 14 ft. 10 in.

Therefore;

The volume of the swimming pool = Width × Length × Depth

The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.

The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³

1 in.³ = 2.14335 × 10⁻⁵ yd³

∴ 115472160 in.³ = 115472160 in.³  × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³

Which gives;

The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.

Answer:

Resistor A has a resistance closer to 100

Step-by-step explanation:

Here, we want to know which of the two resistors have a resistance closer to 100 ohms

To know the resistance closer to 100, we need to know the absolute value of the resistances

-0.78 has a resistance of 100 - 0.78 = 99.22

The 15 ohms resistor has resistance of 100 + 0.15 = 100.15

Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100

Answer:

7.50$

Step-by-step explanation:

3+3+1.5=7.50$.

Given :

Carson was shopping online for bow ties to wear with his school uniform he bought a certain number of ties that each cost $12.50 and paid a flat rate of 19 for shipping and handling.

He has $220 in his bank account before buying the tie.

To Find :

Maximum number of ties he can buy.

Solution :

Let, price of buying x ties is y.

y = 19 + (12.50)x

It is given that he has $200 in his bank account.

So, price of buying tie ≤ $200

y ≤ 200

19 + (12.50)x ≤ 200

(12.50)x ≤ 200 - 19

x ≤ 14.48

Since, number of tie cannot be in decimal.

x ≤ 14

Therefore, maximum tie he can buy is 14.

Hence, this is the required solution.

Answer:

16√3 cm²

Step-by-step explanation:

The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.

Let's consider one side of the triangle to be 'x'

Givent that, the perimeter is 24cm,

The equation should be x + x + x = 24

⇒3x = 24

∴ x = 8 cm

To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.

Since it is an equilateral triangle, all angles are exact 60°.

let's draw a line and mark it as 'h'.

we can use sine formula to find out the opposite i.e. h

sin∅ = opposite ÷ hypotaneous

sin 60° = h ÷ 8

h = 8 sin 60°

h= 4√3

Now, let's find the area

Area = 1/2 × base × height

Area = 1/2 × 8 × 4√3

area= 16√3 cm²

Answer:

Step-by-step explanation:

Let the initial amount of yellow paint be x

Then we have x increased by 30% equals 3.9 liters:

Answer:

He can drive 625 miles

Step-by-step explanation:

Total spent: $105

$105- $30 charge = $75

$75/$0.12 per mile charge

= 625 Miles

Answer: Standard Form

Step-by-step explanation:

In the slope intercept form, you can only solve for one equation at a time.

Ex: y = -2.5x + 15

but when using standard you can easly get the answer for both ticket prices

Ex: 25x + 10y = 150

5r + 2g = 30 is the linear equation that best describes the scenario.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given this, Hanna will spend $150 on music festival tickets. Reserved seat tickets cost $25 and general admission tickets cost $10.

Let "r" be the Number of reserved tickets she bought

and "g" be the number of  general admission tickets she bought

Money spent od reserved ticket = 25 * r

Money spent in general tickets = 10 *g

Since she totals spent 150$

Thus, the equation will be

25r + 10g = 150

Divide by 5 into both the sides

5r + 2g = 30

therefore, The linear equation that represents the given situation is 5r + 2g = 30.

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Answer:

the answer is C. lake Texoma

hope this helps

Answer:

ill help

Step-by-step explanation:

Answer

There are two common ways of describing or specifying the members of a set: roster notation and set builder notation. These are examples of extensional and intensional definitions of sets, respectively