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Novay_Z [31]
3 years ago
14

I realy need help im desperateNumber 37

Mathematics
2 answers:
Goryan [66]3 years ago
4 0
I just realized the numbers were in the negatives, sorry. The answer should be -4 > -22 because negative numbers work backwards on a number line. Sorry for any confusion.
stellarik [79]3 years ago
3 0
Im not sure what inequality means but it is 4°C<22°C
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In a particular triathlon the athletes cover 1/24 of the total distance by
pav-90 [236]

Answer:

15/8

Step-by-step explanation:

Let "d" be the total distance, that is, the distance for swimming (s), running (r) and going by bike (b).

d = s + r + b   [1]

1/24 of the total distance is covered by  swimming.

s = 1/24 d   [2]

1/3 of the distance is covered by running.

r = 1/3 d  [3]

If we replace [2] and [3] in [1], we get

d = 1/24 d + 1/3 d + b

b = d - 1/24 d - 1/3 d

b = 24/24 d - 1/24 d - 8/24 d

b = 15/24 d = 5/8 d

The ratio of  the distance covered by bike to the distance covered by running is:

b/r = (5/8 d)/(1/3 d) = 15/8

5 0
3 years ago
Let f (x) = x^2 + 2xHow would you explain what f(5) means to a friend?
luda_lava [24]

Answer:

I would tell this friend to think of f(5) as them telling you what x is.

Step-by-step explanation:

So basically you would be imputing 5 everywhere x is to solve the equation.

7 0
3 years ago
Determine whether the equation is exact. If it​ is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e
umka21 [38]

Answer:

F(t,y)=(2+7e^t)y+3(1-t)e^t +C

Step-by-step explanation:

You have the following differential equation:

e^t(7y-3t)dt+(2+7e^t)dy=0

This equation can be written as:

Mdt+Ndy=0

where

M=e^t(7y-3t)\\\\N=(2+7e^t)

If the differential equation is exact, it is necessary the following:

\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}

Then, you evaluate the partial derivatives:

\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)        (1)

Next, you derive the last equation respect to t:

\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)

however, the last derivative must be equal to M. From there you can calculate g(t):

\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

F(t,y)=(2+7e^t)y+3(1-t)e^t +C

where C is the constant of integration

8 0
3 years ago
Simplify (3x+3)(x-4)=?
Novosadov [1.4K]
(3x +3) (x - 4)
3x(x - 4) + 3(x - 4)
3x^2 - 12x + 3x - 12
3x^2 - 9x - 12
3 0
3 years ago
The square root of 5 less than twice a number is 7. find the number
Sati [7]

Answer:

27

Step-by-step explanation:

Let the number to find out be 'x'

Therefore,

according to the condition given question, we get the equation as

\sqrt{2x-5}=7

Now,

squaring both the sides, we get

2x - 5 = 49

on adding 5 both sides, we get

2x - 5 + 5 = 49 + 5

or

2x = 54

or

x = \frac{\textup{54}}{\textup{2}}

or

x = 27

Hence, the number is 27

8 0
3 years ago
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