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Nikitich [7]
3 years ago
5

so i just started modeling and two step inequalities and my question is 62°f and it drops 2 degrees every hour .How many hours w

as it before the temperature was below 40°
Mathematics
2 answers:
alex41 [277]3 years ago
5 0

Answer:

11 hours

Equation:

62 - 2x = T

62 - 2(11) = 40



Ganezh [65]3 years ago
3 0

It was 11 hours because if the temperature drops 2 degrees after every hour, after 11 hours, the temperature would have dropped 22 degrees and 62 - 22 = 40.

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Solve for x: -6x - 2 = 40
julia-pushkina [17]
<span>-6x - 2 = 40
-6x = 42
x = -7
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5 0
3 years ago
Suppose that z-scores come from a standard normal distribution. Use the Normal Probability Applet (Links to an external site.) t
Natalka [10]

Answer:

0.683

Step-by-step explanation:

We have to find P(-1<z<1).

For this purpose, we use normal distribution area table

P(-1<z<1)=P(-1<z<0)+(0<z<1)

Using normal area table and looking the value corresponds to 1.0, we get

P(-1<z<1)=0.3413+0.3413

P(-1<z<1)=0.6826

Rounding the answer to three decimal places

P(-1<z<1)=0.683

So, 68.3% of the z-scores will be between -1 an 1.

4 0
3 years ago
Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\
motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in \sqrt{7}, 1 - \sqrt{6} and -3. The last root gives us the factor (x+3). Hence, our polynomial is

P(x) =(x+3)q(x)

where q is a polynomial with rational coefficients and roots \sqrt{7} and 1 - \sqrt{6}. The root \sqrt{7} gives us a factor x-\sqrt{7}, but in order to obtain rational coefficients we must consider the factor x^2-7.

An analogue idea works with 1 - \sqrt{6}. For convenience write  x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}. This gives the factor (x-1)^2-6. Hence,

P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105

Notice that P(-1)=24. So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type x-\sqrt7 will introduce in the expression, we need to multiply by its conjugate x+\sqrt7. Hence, we will obtain x^2-7 that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

4 0
3 years ago
3/5 t =6<br><br> Pls help I’ll brainlest
Otrada [13]
Simplify both sides then isolate the variable
t=10
4 0
3 years ago
Escape room level 5 can anybody help <br> Thank you
kupik [55]

Answer:

Not going to lie I can only give you a guess which is -72 sorry if that didn't do much.

Step-by-step explanation:

5 0
2 years ago
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