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BlackZzzverrR [31]
3 years ago
14

Rewrite the formula to find w.

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

P / 30 - 21= 9

2w = 9

w = 4.5

This should be the answer

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How to find the slope of a graph
vagabundo [1.1K]

Answer:

There are 2 different ways, depending on the amount of data given;

<em>1st way:</em> When only the line on the graph is given (Without any coordinate points given) then the slope could be found out with the formula of <u>Rise/Run, or Change in y / Change in x</u>

<em>2nd way: </em>When a line and 2 coordinate points are given, the the formula that would be used is:<u> </u>\frac{Y_2 - Y_1}{X_2 - X_1}<u>, where X₁ and Y₁ are the coordinate points of the 1st given point, and X₂ and Y₂ are the coordinate points of the 2nd given point.</u>

Hope this helps!

5 0
3 years ago
A type of bear can run at a rate of 21 miles per hour. At this rate, how far could it run in 3 hours?​
zavuch27 [327]

Answer:

63 miles

Step-by-step explanation:

We know that the bear can run at 21 mi/hr. So, multiply 21*3 to get how many miles the bear could run in 3 hrs.

Hope it helped.

6 0
3 years ago
Read 2 more answers
Find a homogeneous linear differential equation with constant coefficients whose general solution is given by
frez [133]

Answer:

y" + 2y' + 2y = 0

Step-by-step explanation:

Given

y=c_1e^{-x}cosx+c_2e^{-x}sinx

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)

Where

\alpha = -1 and \beta = 1

For a homogeneous linear differential equation, the repeated value m is given as:

m = \alpha \± \beta i

Substitute values for \alpha and \beta

m = -1 \± 1*i

m = -1 \± i

Add 1 to both sides

m +1= 1 -1 \± i

m +1= \± i

Square both sides

(m +1)^2= (\± i)^2

m^2 + m + m + 1 = i^2

m^2 + 2m + 1 = i^2

In complex numbers:

i^2 = -1

So, the expression becomes:

m^2 + 2m + 1 = -1

Add 1 to both sides

m^2 + 2m + 1 +1= -1+1

m^2 + 2m + 2= 0

This corresponds to the homogeneous linear differential equation

y" + 2y' + 2y = 0

6 0
3 years ago
Convert the ratio 56: 80 to a percentage
zysi [14]
Change the ratio into a fraction

56:80  is the same as 56/80

Divide, make it a decimal

56/80 = 0.7

0.7 = 7/10 or 70/100

70/100 = 70%

70% is your answer

hope this helps
8 0
3 years ago
It takes three hours for a boat to go 18 miles downstream, and nine hours to return. What is the rate of the boat in calm water
vampirchik [111]

Step-by-step explanation:

Distance = rate × time

If B is the rate of the boat, and C is the rate of the current, then we can write two equations:

18 = (B + C) × 3

18 = (B − C) × 9

Simplifying the equations:

6 = B + C

2 = B − C

Add the equations together to eliminate C:

8 = 2B

B = 4

Plug into either equation to find C:

C = 2

The boat's rate is 4 mph, and the current's rate is 2 mph.

5 0
3 years ago
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