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umka2103 [35]
4 years ago
7

(1.35 X 106) - (117,000)

Mathematics
1 answer:
steposvetlana [31]4 years ago
6 0

Answer:

-116856.9

Step-by-step explanation:

You might be interested in
Expression 3 + y and 2 (6+y) are equivalent?
Assoli18 [71]

Answer:

3+y and 12+2y

Step-by-step explanation:

I mean they aren't equivalent because if you do PEMDAS (parenthesis, exponents, multiply, divide, add, subtract) Then, you would do 2 times 6 because parenthesis, that equals 12 so the answer would be

3+y and 12+2y

6 0
3 years ago
There were 3 bananas, 4 apples, and 3 oranges in a basket. What is the probability that Ace will pick a banana from the basket?
Jlenok [28]

0.3 or 30%. The probability that Ace pick a banana from a basket that content others fruits is 0.3.

The key to solve this problem is using the equation of probability P(A)=\frac{n(A)}{n} where n(A) the numbers of favorables outcomes and n the numbers of possible outcomes.

There are in the basket 10 fruits in total (3 bananas + 4 apples + 3 oranges = 10fruits). Then, extract a fruit can occur in 10 ways, this is n. There is only 3 bananas in the basket, so the fruit that ACE will pick be a banana can occur in 3 ways out of 10,  so 3 is n(A).

Solving the equation:

P(A)=\frac{3}{10}=0.3

5 0
4 years ago
What are the variables<br>in <br>2x-y+4z+1?​
Black_prince [1.1K]

Answer:

X Y and Z are the variables.

Step-by-step explanation

6 0
3 years ago
Read 2 more answers
the speed of a stream is 4mph. If a boat travels 92 miles downstream in the same time that it takes to travel 46 miles upstream,
Elanso [62]

Answer:

12 miles per hour

Step-by-step explanation:

Let speed of boat in still water be "x"

and speed of current be "c"

So, downstream rate would be "x + c"

And, upstream rate would be "x - c"

Now, given c = 4

We can use the distance formula, D = RT, where

D is distance, R is rate, and T is time

to solve this.

Downstream:

D = RT

92 = (x+4)(t)

Upstream:

D = RT

46 = (x-4)(t)

Both the times are same, we can equate both the times. Lets simplify first:

t = 92/(x+4)

and

t = 46/(x-4)

Equate:

\frac{92}{x+4}=\frac{46}{x-4}

Now, cross multiply and solve for x to get our answer:

\frac{92}{x+4}=\frac{46}{x-4}\\92(x-4)=46(x+4)\\92x-368=46x+184\\46x=552\\x=12

Speed of Boat (in still water) = 12 mph

6 0
3 years ago
Use the substitution x = et to transform the given Cauchy-Euler equation to a differential equation with constant coefficients.
Anika [276]

Answer:

\boxed{\sf \ \ \ ax^2+bx^{-10} \ \ \  }

Step-by-step explanation:

Hello,

let's follow the advise and proceed with the substitution

first estimate y'(x) and y''(x) in function of y'(t), y''(t) and t

x(t)=e^t\\\dfrac{dx}{dt}=e^t\\y'(t)=\dfrac{dy}{dt}=\dfrac{dy}{dx}\dfrac{dx}{dt}=e^ty'(x)y'(x)=e^{-t}y'(t)\\y''(x)=\dfrac{d^2y}{dx^2}=\dfrac{d}{dx}(e^{-t}\dfrac{dy}{dt})=-e^{-t}\dfrac{dt}{dx}\dfrac{dy}{dt}+e^{-t}\dfrac{d}{dx}(\dfrac{dy}{dt})\\=-e^{-t}e^{-t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}\dfrac{dt}{dx}=-e^{-2t}\dfrac{dy}{dt}+e^{-t}\dfrac{d^2y}{dt^2}e^{-t}\\=e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt})

Now we can substitute in the equation

x^2y''(x)+9xy'(x)-20y(x)=0\\ e^{2t}[ \ e^{-2t}(\dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}) \ ] + 9e^t [ \ e^{-t}\dfrac{dy}{dt} \ ] -20y=0\\ \dfrac{d^2y}{dt^2}-\dfrac{dy}{dt}+ 9\dfrac{dy}{dt}-20y=0\\ \dfrac{d^2y}{dt^2}+ 8\dfrac{dy}{dt}-20y=0\\

so the new equation is

y''(t)+ 8y'(t)-20y(t)=0

the auxiliary equation is

x^2+8x-20=0\\ x^2-2x+10x-20=0\\x(x-2)+10(x-2)=0\\(x+10)(x-2)=0\\ x=-10\text{ or }x=2

so the solutions of the new equation are

y(t)=ae^{2t}+be^{-10t}

with a and b real

as

x(t)=e^t\\ t(x)=ln(x)

y(x)=ae^{2ln(x)}+be^{-10ln(x)}=ax^2+bx^{-10}

hope this helps

do not hesitate if you have any questions

8 0
4 years ago
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