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3 years ago

Write the equation of a line that is perpendicular to y = 5 and that passes through the point (-7,-5).

Mathematics

1 answer:

Alik [6]3 years ago

7 0

Answer: x = -7

Step-by-step explanation:

x = -7 will be a vertical line passing through all y values, and perpendicular to y = 5

The attached graph shows the lines and the point.

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Evaluate log base 12 of y^2, given log base 12=16

Ostrovityanka [42]

Answer:

y = 12^8

Step-by-step explanation:

Log base 12, y^2 = 16

y2 = 12^16

y = sqrt ( 12^16) = (12^16)^1/2

y = 12^8

5 0

2 years ago

I need help with these

tia_tia [17]

Answer:

Step-by-step explanation:

5) -7 (-15w + 21) + 3(18 - 27w)

Step 2: 105w - 81w - 147 + 54

step 3: 24w - 93

7 0

2 years ago

Evaluate the limit as x goes to infinity of x^3e^-x/5

jekas [21]

Answer: 0

Step-by-step explanation:

$\frac{x^{3}e^{-x}}{5}$

This could be written as

$\frac{x^{3} }{5e^{-x} }$

Applying L'H rule and differentiating 3 times , we have

$\frac{6}{5e^{x} }$

taking the limit as x goes to infinity , we have

5 0

3 years ago

The elevator of a high-rise office building provides access to all floors. if each floor is 5 meters high and the elevator trave

nadya68 [22]

Height of each floor = 5 meters
time to travel from the first floor to 68th floor = ?
Speed of elevator = 7.5m/s
While an elevator travels from 1st floor to 68th floor, we will multiply the height of floor with 67 to get the distance covered by the elevator form 1st floor to 68th floor, the height of 68th floor will not be counted in the distance because an elevator reaches the 68th floor not covered the height of that floor.
Distance = 5 x 67 = 335m
Now calculate the time by using the formula;
time = distance / speed
= 335m / 7.5m/s
= 44.667 seconds
Thus, an elevator will take 44.667 seconds to reach 68th floor.

6 0

2 years ago

Which of the division expressions below has a remainder? Select all that apply.

gavmur [86]

Answer:

A, B, C, & E

Step-by-step explanation:

A) 19,456 ÷ 6 = 3,242 $\frac{2}{3}$

(2/3 is 0.666666666 etc)

B) 28,765 ÷ 13 = 2,212.692308...

C) 4,145 ÷ 3 = 1,381 $\frac{2}{3}$

(2/3 is 0.666666666 etc)

D) 4,165 ÷ 17 = 245

(Not bolded because it is not an answer)

E) 44,312 ÷ 16 = 2,769.5

C -> When dividing by three, if the first number's values do not add up to a multiple of 3 there will be a remainder. Example from your problem,

4,145 -> 4 + 1 + 4 + 5 = 14 -> 14 is not a multiple of 3, so there is a reminder

D -> No decimal / fraction, no remainder!

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0

2 years ago