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3 years ago

Need help ASAP. Thank you.

Mathematics

1 answer:

andre [41]3 years ago

7 0

Answer:

X < 4

Step-by-step explanation:

Since the circle is not coloured sign

$\geqslant or \leqslant$

Cannot be used.

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4. Are the lines parallel, perpendicular, or neither?

Lelu [443]

Answer:

Perpendicular

Step-by-step explanation:

Intersect over each other

4 0

3 years ago

Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts

shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0

3 years ago

Larissa takes a dose of 4 drops of medicine every day, three times a day. One milliliter (mL) of the medicine contains about 20

professor190 [17]

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = $\frac{240}{12}=20$

Hence,

The bottle will last for 20 days.

3 0

3 years ago

Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Ove

ddd [48]

Answer:

End fraction right brace

Step-by-step explanation:

I really hope I helped GL <33!

6 0

3 years ago

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.2

son4ous [18]

Answer:

A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven.

The function $C = 0.20m+ 150.00$ ,

where m is the number of miles and C is the total cost.

Since it is given that : If the rental car can only be driven a maximum of 200 miles.

Then the total cost for this is,

$C = 0.20 (200)+150$ or

$C= 40+150$

On simplify we get,

$C = \$ 190$

A rental Car can only be driven a maximum of 200 miles for a cost of $ 190.

Graph the function : $C = 0.20m+ 150.00$ as shown in the attachment.

7 0

3 years ago