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kaheart [24]
2 years ago
6

Write 2036017 in expanded form using exponents

Mathematics
2 answers:
anyanavicka [17]2 years ago
8 0

2 × 10 to the 6th power + 0 × 10 to the 5th power + 3 × 10 to the 4th power + 6 × 10 to the 3rd power + 0 × 10 to the 2nd power + 1 × 10 to the 1st power + 7 × 10<span> to the 0 power

</span>
taurus [48]2 years ago
7 0
2,000,000
+ 0
+ 30,000
+ 6,000
+ 0
+ 10
+ 7
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Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x − p)2 = q? [p and q are int
Andre45 [30]

The correct steps are:

start with

x^2+8x+15=0

Add 1 to both sides:

x^2+8x+16=1

The left hand side is a perfect square:

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2 years ago
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A certain shade of green paint is made from 5 parts yellow mixed with three parts blue if 2 cans of yellow are used how many can
wariber [46]
Because the ratio of yellow to blue can be expressed as 5/3, you would solve the equation 5/3= 2/x. To solve, you would get x alone by cross multiplying and getting 5x=6. Divide both sides by 5 and get 6/5 or 1 and 1/5 cans of blue paint
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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

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   = (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

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2 years ago
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