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2 years ago

If dy/dx = y cos x and y = 3 when x = 0, then y =....? Here are the answer choices

Mathematics

1 answer:

creativ13 [48]2 years ago

3 0

Dy/dx = y cos x
y = Ae^sin(x)
y(0) = Ae^sin(0) = A = 3
A = 3

Therefore, y = 3e^(sinx)

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If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure

MAVERICK [17]

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

7 0

3 years ago

A number divided by 3 with 19 added equals 36 what is the number

julsineya [31]

You do the sum backwards,
36-16=17
17x3=51
Then you check it to make sure,
51/3=17
17+19=36
:) hope this hepled x

7 0

3 years ago

Read 2 more answers

Find the sum of the reciprocals of two consecutive even integers if the larger integer is x. please answer;-;

Harman [31]

Step-by-step explanation:

Let the larger integer be x

Hence, the smaller integer = x-2

Hence,

Reciprocal of the x= 1/x

Reciprocal of x-2= 1/ x-2

Hence. their sum=

$\frac{1}{x} + \frac{1}{x - 2} \\ = \frac{x - 2 + x}{x(x - 2)} \\ = \frac{2x - 2}{ {x}^{2} - 2x}$

4 0

2 years ago

3x+30+x=10+2x+5x+2 <br> i need help fast

kupik [55]

Answer:

x=6

Step-by-step explanation:

Group Like Terms:

3x+x+30=10+2x+5x+2

Add similar elements 3x+x=4x:

4x+30=10+2x+5x+2

Add similar elements 2x+5x=7x:

4x+30=10+7x+2

Group like terms:

4x+30=7x+10+2

Add the numbers 10+2=12:

4x+30=7x+12

Subtract 30 from both sides:

4x+30-30=7x+12-30

Simplify:

4x=7x-18

Subtract 7x from both sides:

4x-7x=7x-18-7x

Simplify:

-3x=-18

Divide both sides by -3:

$\frac{-3x}{-3} =\frac{-18}{-3}$

Simplify:

x=6

Hence, the correct answer is 6

4 0

2 years ago

The amount of liquid a bottle cap can hold would most likely be measured in

vichka [17]

The answer is: Milliliters

3 0

2 years ago