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Usimov [2.4K]
3 years ago
9

Find the product. (-5a ^2)^3 · a^5

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0

Answer:

<u><em>−125a^(11)</em></u>

Step-by-step explanation:

<u><em>(−5a^(2)3a^(5) Then you solve</em></u>

<u><em>=−125a^(11)</em></u>

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The density of a fluid is given by the empirical equation rho=70.5 exp(8.27 X 10^-7 P) where rho is density (lbm/ft^3) and P is
jasenka [17]

Answer:

(a) The unit of 70.5 is lbm/ft^3 and the unit of 8.27×10^-7 is in^2/lbf

(b) density = 0.1206g/cm^3

(c) rho = 0.1206exp(8.27×10^-7P)

Step-by-step explanation:

(a) The unit of 70.5 is the same as the unit of rho which is lbm/ft^3. The unit of 8.27×10^-7 is the inverse of the unit of P (lbf/in^2) because exp is found of a constant. Therefore, the unit of 8.27×10^-7 is in^2/lbf

(b) P = 9×10^6N/m^2

rho = 70.5exp(8.27×10^-7× 9×10^6) = 70.5exp7.443 = 70.5×1.71 = 120.6kg/m^3

rho = 120.6kg/m^3 × 1000g/1kg × 1m^3/10^6cm^3 = 0.1206g/cm^3

(c) Formula for rho (g/cm^3) as a function of P (N/m^2) is

rho = 0.1206exp(8.27×10^-7P) (the unit of 0.1206 is g/cm^3)

5 0
3 years ago
Convert 5700 milligrams into pounds. Round your answer to the nearest hundred
suter [353]

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Suppose Evan is trying to build a frame out of popsicle sticks x inches long. The frame will have length (2x – 3) and width of (
erik [133]

Answer:

The correct option is A)  3 square inches; 2x^2-7x+6.

Step-by-step explanation:

It is given that the length of the frame is (2x-3) and the width is (x-2)

The area of the rectangle is: A=l\times w

Where, A is the area l is the length and w is the width of the rectangle.

Put l=(2x-3) and w=(x-2) in the area of the rectangle.

A=(2x-3)(x-2)\\A=2x^2-4x-3x+6\\A=2x^2-7x+6

The area of the frame expressed as a polynomial is 2x^2-7x+6.

Now substitute x=3 in A=2x^2-7x+6.

A=2(3)^2-7(3)+6\\A=18-21+6\\A=3

The area of the frame is 3 square inches.

Hence, the correct option is A)  3 square inches; 2x^2-7x+6.

8 0
3 years ago
Round this number to the given place values:
nataly862011 [7]

Answer:

Ones place: 456.3000

tenths place: 456.3000

hundredths place: 456.2990

thousandths place: 456.2991

5 0
3 years ago
How do you subtract fractions
olya-2409 [2.1K]

Answer:

make the denominators ( bottom number ) the same and whatever u do to that do to the top

Step-by-step explanation:

e.g ½ - ⅓

make the common denominator 6

to get from 2 to 6 u times by 3 so it wud be 3/6

and then to get from 3 to 6 u times by 2 so do the same to the numerator (top number) so u get 2/6

3/6 take away 2/6 is 1/6

:)

7 0
3 years ago
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