All the place values of 12, 354.897 are as follows: 12 thousands, 3
hundred, 5 tens, 4 ones, 0.8 tenths .09 hundredths, .007 thousandths.
The result of the product of (0.36) and (0.53) is 0.1908
<h3>How to determine the product</h3>
The product expression is given as:
(0.36) * (0.53)
Rewrite the product as follows:
![(0.36) * (0.53) = (0.3 + 0.06) * (0.5 + 0.03)](https://tex.z-dn.net/?f=%280.36%29%20%2A%20%280.53%29%20%3D%20%280.3%20%2B%200.06%29%20%2A%20%280.5%20%2B%200.03%29)
Expand the product
![(0.36) * (0.53) = 0.3 * (0.5 + 0.03)+ 0.06 * (0.5 + 0.03)](https://tex.z-dn.net/?f=%280.36%29%20%2A%20%280.53%29%20%3D%200.3%20%2A%20%280.5%20%2B%200.03%29%2B%200.06%20%2A%20%280.5%20%2B%200.03%29)
Expand
![(0.36) * (0.53) = 0.15 + 0.009+ 0.03+ 0.0018](https://tex.z-dn.net/?f=%280.36%29%20%2A%20%280.53%29%20%3D%200.15%20%2B%200.009%2B%200.03%2B%200.0018)
Evaluate the sum
![(0.36) * (0.53) = 0.1908](https://tex.z-dn.net/?f=%280.36%29%20%2A%20%280.53%29%20%3D%200.1908)
See attachment for the area diagram of the product
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In the given question, there are several data of immense importance. based on these data's the answer to the question can be easily deduced. it is already given that the total utility bill for the month of April in Millers house is $132 and 42% of the bill was paid for gas. remaining amount is paid as electricity charges.
Now
Amount of money paid for gas = 132 * (42/100) dollars
= 5544/100 dollars
= 55.44 dollars
Then
The amount of money paid for electricity = (132 - 55.44) dollars
= 76.56 dollars
So the Millers paid 55.44 dollars for gas and 76.56 dollars for electricity in the month of April.
The value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
The functions are given as:
f(x) = x + 1 and g(x) = 5x.
We need to find the composite function:
(f ∘ g)( - 1).
= f (g ( - 1)
Substitute value of g(x):
= f ( 5 ( - 1))
= f ( - 5)
Substitute value of f(x):
= ( - 5 ) + 1
= - 5 + 1
= - 4
Therefore, the value of the composite function is option (D) (f ∘ g)( - 1) = - 4.
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The diagram of rhombus JKLM is shown in the diagram below
A rhombus is a quadrilateral with four equal sides and its diagonals intersect perpendicular to each other (makes 90° angles). Opposite angles are equal (the same with a parallelogram). Each diagonal bisects the angle at J, K, L, and M equally
If angle JKL is 104°, the measurement of angle JKN is 104÷2=51°