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Yuri [45]
2 years ago
7

Michelle drove a total of 57.8 kilometers on saturday. she drove 23.5 kilometers from her house to the park. her next stop was t

he library, which is 18.3 kilometers from the park. she drove 5.7 kilometers from the library to the grocery store. what is the distance from michelle's house to the grocery store.
Mathematics
1 answer:
zloy xaker [14]2 years ago
5 0
47.5 need this to extend my answer
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Write 6(9+2k)= -3 in written form
Alchen [17]

Answer:

27k+3=0

Step-by-step explanation:

Write in standard form.

this way?

4 0
2 years ago
which inequality represents all values of x for which the quotient below is defined?√8x^2 divided by √2x
MA_775_DIABLO [31]

Answer:

The function is defined when x > 0

Step-by-step explanation:

Functions with radicals are only undefined when the value in the radical is negative, because the root of a negative number is imaginary.  

We know the function is undefined when the denominator is equal to zero.  \sqrt{2x} is equal to zero when x=0.

We also know that functions with radicals are undefined when the value in the radicals are negative, because the root of a negative number is imaginary.  .  8x^{2} will always be positive, but 2x is negative when x < 0.

So the function is undefined when x = 0, and when x < 0.

Therefore it is defined when x > 0

5 0
3 years ago
A random sample of 250 juniors majoring in psychology or communication at a large university is selected. These students are ask
fenix001 [56]

Solution :

It is given that :

Number of students in a random sample majoring in communication or psychology at an university = 250

Total number of students majoring in psychology = 100

Number of students majoring in psychology  those who are happy = 80

So number of students majoring in psychology  those who are not happy = 20

Total number of students majoring in communication = 250 - 100 = 150

Number of students majoring in communication  those who are happy = 115

So number of students majoring in psychology  those who are not happy = 35

a). Probability of the students happy with their major choices are

    $=\frac{80+115}{250}$

    = 0.78

b). Psychology major $=\frac{80+20}{250}$

                                   = 0.4

c). Probability of the students who are happy with the communication as the choice of major = $\frac{115}{250}$ = 0.46

d). Students unhappy with their choice of major given that the student is psychology major = $\frac{20}{250}$  =  0.018

8 0
2 years ago
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV
JulijaS [17]

Answer:

\frac{dT}{dt}=3.78^{\circ}K/min

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}

What we have to do is the derivative of a product:

\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}

Substituting, we have:

\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}

And then just calculate:

\frac{dT}{dt}=3.78^{\circ}K/min

6 0
3 years ago
Express the ratio 5:35 in the form 1:n
Vsevolod [243]

Answer:

answer is 7

Hope it's help you ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

6 0
3 years ago
Read 2 more answers
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