The given data is
t, h: 0 2 4 6 8 10
r(t), L/h: 8.6 7.9 6.8 6.4 5.7 5.3
The lower and upper estimates for the total amount that leaked may be computed as the Left and Right Riemann sums.
The shape of the graph of r versus will determine which of the two sums yields an upper or lower sum.
The plot of the graph is shown below.
The Left Riemann sum is
Sl = 2*(8.6+7.9+6.8+6.4+5.7) = 70.8 L
The Right Riemann sum is
Sr = 2*(7.9+6.8+6.4+5.7+5.3) = 64.2 L
Answer:
The lower estimate for oil leakage is 64.2 L
The upper estimate for oil leakage is 70.8 L
Answer: y-7 = 4(x+3), choice B
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Point slope form is generally
y-y1 = m(x-x1)
we have m as the slope and (x1,y1) as the point this line goes through. In this case,
m = 4
(x1,y1) = (-3,7) so x1 = -3 and y1 = 7
So,
y-y1 = m(x-x1)
y - 7 = 4(x - (-3))
y - 7 = 4(x + 3)
which is why choice B is the answer
I would think it is a 90 degree angle, sorry if I’m wrong.
The term is used as means of asking students to write down equations using simple mathematical symbols (numerals, the four basic mathematical operators, equality symbol)[5]. Sometimes boxes or shapes are used to indicate unknown values. As such number sentences are used to introduce students to notions of structure and algebra prior to a more formal treatment of these concepts.
A number sentence without unknowns is equivalent to a logical proposition expressed using the notation of arithmetic.
[edit] Examples
A valid number sentence that is true: 3 + 7 = 10.
A valid number sentence that is false: 7 + 9 = 17.
A valid number sentence using a 'less than' symbol: 3 + 6 < 10.
An example from a lesson plan:
Some students will use a direct computational approach. They will carry out the addition 26 + 39 = 65, put 65 = 23 + □, and then find that □ = 42.[6] (wikipedia)
<span>I hope this is helpful!
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Rotation: a b
Translation:e j
Reflection over a horizontal line: g f
Reflection over a vertical line: c e
Rotation then reflection: a h
Rotation then translation: a d
I’m sorry if this isn’t right