A person wearing contact lenses is told to wear them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day. For how many hours will the person wear the contact lenses on the 10th day?

A person is going to wear contact lenses for 7 and a half hour on the tenth day

Step-by-step explanation:

3 + 3.5 + 4 + 4.5 + 5 + 5.5 + 6 + 6.5 + 7 + 7.5

1      2      3     4      5     6      7      8     9     10

7.5 because it is the tenth day

 A person is going to wear contact lenses for 7 and a half hour on the tenth day

the person will wear it for 7.5 hours on the 10th day.

Step-by-step explanation:

The person wears them for 3 hours on the 1st day and for 1/2 hour longer on each succeeding day. This means that the number of hours is increasing in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 3 hours

d = 0.5 hour

n = 10

We want to determine the value of the 10th term, T10. Therefore,

T10 = 3 + 0.5(10 - 1)

T10 = 3 + (0.5 × 9)

T10 = 7.5 hours

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17