Explanation

To find the power of the combination of lenses, we can use the formula:

P_total = P1 + P2

Where:

- P_total is the total power of the combination

- P1 is the power of the convex lens

- P2 is the power of the concave lens

The power of a lens is given by the formula:

P = 1 / f

Where:

- P is the power of the lens

- f is the focal length of the lens

Given that the focal length of the convex lens is 40 cm and the focal length of the concave lens is -25 cm (negative because it is concave), we can calculate their respective powers:

P1 = 1 / 40 cm = 0.025 dioptres (approximately)

P2 = 1 / -25 cm = -0.04 dioptres (approximately)

Now, we can calculate the total power of the combination:

P_total = P1 + P2

= 0.025 dioptres + (-0.04 dioptres)

= -0.015 dioptres / -1.5  (approximately)

(0.015 = 1.5= 0.015 * 100= 1.5)

Explanation

Given:

Expression: lim x -> 1 5 * (2x + 3) ^ -1

1. Substitute x = 1 into the expression:

lim x -> 1 5 * (2x + 3) ^ -1

= 5 * (2(1) + 3) ^ -1

= 5 * (2 + 3) ^ -1

= 5 * (5) ^ -1

2. Simplify the expression:

To simplify, we can rewrite (5) ^ -1 as 1/5.

5 * (5) ^ -1

= 5 * 1/5

= 1

Therefore, the limit of the given expression as x approaches 1 is 1.

Explanation

The probability that a red ball is drawn at random from the bag is 10/15.

Assuming the first ball was red, then the probability of picking a second red ball is now 9/14.

(You don’t need to worry about whether the first ball was blue, because if it was, both balls cannot be read, so picking a red ball first is the only probability you need to consider)

Multiply the two probabilities together and you have the combined probability of both balls being red.

10/15 * 9/14 = 90/ 210 = 3/7

Explanation

To find the area of a parallelogram, we multiply the length of the base by the length of the altitude.

Given:

Base = 10cm

Altitude = 7cm

To find the area, we can use the formula:

Area = Base × Altitude

Substituting the given values into the formula:

Area = 10cm × 7cm

Calculating the product:

Area = 70cm²

Explanation

the brand resonance model describes active loyalty relationships with customers.

Convert brand responses to create brand resonance

and an intense, active loyalty relationship between customers and the brand. 

Explanation

To find the period and wavelength of a wave, we can use the formulas:

Period (T) = 1 / Frequency (f)

Wavelength (λ) = Speed (v) / Frequency (f)

Given:

Frequency (f) = 2.5 Hz

Speed (v) = 1.5 m/s

Step 1: Calculate the period (T):

Using the formula, T = 1 / f, we can substitute the given frequency to find the period:

T = 1 / 2.5 Hz

T = 0.4 s

Therefore, the period of the wave is 0.4 seconds.

Step 2: Calculate the wavelength (λ):

Using the formula, λ = v / f, we can substitute the given speed and frequency to find the wavelength:

λ = 1.5 m/s / 2.5 Hz

λ = 0.6 m

Therefore, the wavelength of the wave is 0.6 meters.

In summary, the wave has a period of 0.4 seconds and a wavelength of 0.6 meters.

Explanation

Let's denote the length of the rectangle as L and the breadth as B.

According to the problem, the length exceeds the breadth by 4m, which can be expressed as L = B + 4.

The perimeter of a rectangle is calculated by adding the lengths of all its sides.

P = 2L + 2B.

We are given that the perimeter of the rectangle is 84m

2L + 2B = 84

Substituting L = B + 4 into the equation, we have:

2(B + 4) + 2B = 84

Simplifying the equation:

2B + 8 + 2B = 84

4B + 8 = 84

4B = 76

B = 19

Now, substitute the value of B back into L = B + 4:

L = 19 + 4

L = 23

Therefore, the length of the rectangle is 23m and the breadth is 19m.

Explanation

To calculate the expenditure on painting, we can multiply the rate per square root by the area.

Given:

Rate per square root = Rs. 100

Area = 32.4 square root

To find the expenditure, we can use the formula:

Expenditure = Rate per square root × Area

Substituting the given values into the formula:

Expenditure = Rs. 100 × 32.4 square root

Calculating the multiplication:

Expenditure = Rs. 3,240

Explanation

To find the wavelength of a wave with a period of 2 seconds and a speed of 2 cm/s, we can use the wave equation:

Wave speed = Wavelength x Frequency

Given information:

- Period = 2 seconds

- Speed = 2 cm/s

To find the frequency, we can use the equation:

Frequency = 1 / Period

Calculating the frequency:

Frequency = 1 / 2 seconds = 0.5 Hz

Now, we can rearrange the wave equation to solve for the wavelength:

Wavelength = Speed / Frequency

Substituting the given values:

Wavelength = 2 cm/s / 0.5 Hz

Simplifying the expression:

Wavelength = 4 cm

Explanation

Consumer behavior is the study of individuals, groups, or organizations and all the activities associated with the:

• purchase
• use
• disposal of goods and services. 

Consumer behavior consists of how the consumer's emotions, attitudes, and preferences affect buying behavior.