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Umnica [9.8K]
2 years ago
12

What is the measure of x?

Mathematics
1 answer:
tankabanditka [31]2 years ago
3 0

Answer:

33

Step-by-step explanation:

half of 67 i believe its correct

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Between 0 degrees Celsius and 30 degrees Celsius, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is giv
Ira Lisetskai [31]

Answer:

T = 3.967 C

Step-by-step explanation:

Density = mass / volume

Use the mass = 1kg and volume as the equation given V, we will come up with the following equation

D = 1 / 999.87−0.06426T+0.0085043T^2−0.0000679T^3

   = (999.87−0.06426T+0.0085043T^2−0.0000679T^3)^-1

Find the first derivative of D with respect to temperature T

dD/dT = \dfrac{70000000\left(291T^2-24298T+91800\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^2}

Let dD/dT = 0 to find the critical value we will get

\dfrac{70000000\left(291T^2-24298T+91800\right)}  = 0

Using formula of quadratic, we get the roots:

T =  79.53 and T = 3.967

Since the temperature is only between 0 and 30, pick T = 3.967

Find 2nd derivative to check whether the equation will have maximum value:

-\dfrac{140000000\left(395178T^4-65993368T^3+3286558821T^2+2886200857800T-121415215620000\right)}{\left(679T^3-85043T^2+642600T-9998700000\right)^3}

Substituting the value with T=3.967,

d2D/dT2 = -1.54 x 10^(-8)    a negative value. Hence It is a maximum value

Substitute T =3.967 into equation V, we get V = 0.001 i.e. the volume when the the density is the highest is at 0.001 m3 with density of

D = 1/0.001 = 1000 kg/m3

Therefore T = 3.967 C

3 0
3 years ago
SIMPLIFY 7/10+1/4-1/5=
Strike441 [17]

Answer:

3/4

Step-by-step explanation:

Q = \frac{7}{10} +\frac{1}{4} -\frac{1}{5}      

{the smallest common multiple of 10, 4 and 5 is 5×2×2 = 20 (denominator)}

Q =\frac{7×2}{10×2} +\frac{1×5}{4×5} -\frac{1×4}{5×4}

=\frac{14}{20} +\frac{5}{20} -\frac{4}{20}

=\frac{14+5-4}{20}

=\frac{15}{20}

=\frac{3×5}{4×5}

=\frac{3}{4}

4 0
3 years ago
Translate the phrase into an expression: <br>8 times the sum of 7 and y​
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Answer:

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Step-by-step explanation:

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\rule{2000pt}{1000000pt}

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