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Allisa [31]
3 years ago
6

A backpacker started his day at an elevation of x feet above sea level. After a day of hiking, the backpacker was at sea level.W

hich equation models this situation? (asap, thanks.)
A. x + 0 = 0

B. x + x = 0

C. 0 - x = x

D. x + (-x) = 0
Mathematics
2 answers:
guapka [62]3 years ago
6 0
My guess is that your answer D :)
k0ka [10]3 years ago
3 0
D. x + (-x) = 0

That is the answer because if you are x feet above sea level, to get back to sea level, which equals zero (0), you need to go down the same amount you went up (x), so you need to go down x feet (-x).
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The waiting time, in minutes, to see a teller at a large bank follows an exponential distribution. If the proportion of all cust
Arada [10]

Answer: 0.00067 minutes

Step-by-step explanation: if the proportion of customers who wait more than 15 minutes is 0.01, then the time interval between each waiting customer 15/0.01 = 1500 minutes.

The distribution that defines this question is that of an exponential.

An exponential distribution is dependent on the fixed time rate at which the event is occurring (λ)

For this question of ours, λ = 1500 minutes.

The mean of an exponential distribution is given as

u = 1/ λ = 1/1500 = 0.00067 minutes.

4 0
3 years ago
PLS HELP.... If 4x^2 + bx + 9 = 0, where b is the constant, has exactly one solution, what is a possible value of b ?
IgorLugansk [536]
You can use the discriminant rule, which is :
b^2 -4ac
“exactly one solution” means that it is equal to zero
so:
b^2 -4(4)(9)=0
b^2 -4(36)=0
b^2 -144=0
b^2=144
square root both sides
b=12 or -12

hope this helps !
3 0
2 years ago
Read 2 more answers
three times the lesser of two consecutive even integers is 6 less than six times the greatest number. find the integers.
kakasveta [241]

3x-6=6(x+2)   3x-6=6x+12  3x-6x=6+12   -3x=18  X= 18/-3  X= -6  first number . For second number you substitute x+2. -6+2=-4    

3 0
3 years ago
What is 5.37 as a mixed number.
bezimeni [28]
5\frac{37}{100} = \frac{537}{100}
3 0
3 years ago
Read 2 more answers
Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0
Leokris [45]

Substitute v(x)=-2x+y(x), so that \dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}. Then the ODE is equivalent to

\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7

which is separable as

\dfrac{\mathrm dv}{v^2-9}=\mathrm dx

Split the left side into partial fractions,

\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)

so that integrating both sides is trivial and we get

\dfrac{\ln|v-3|-\ln|v+3|}6=x+C

\ln\left|\dfrac{v-3}{v+3}\right|=6x+C

\dfrac{v-3}{v+3}=Ce^{6x}

\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}

\dfrac6{v+3}=1-Ce^{6x}

v=\dfrac6{1-Ce^{6x}}-3

-2x+y=\dfrac6{1-Ce^{6x}}-3

y=2x+\dfrac6{1-Ce^{6x}}-3

Given the initial condition y(0)=0, we find

0=\dfrac6{1-C}-3\implies C=-1

so that the ODE has the particular solution,

\boxed{y=2x+\dfrac6{1+e^{6x}}-3}

5 0
3 years ago
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