Answer:
dh = 3 *dV / 130
Step-by-step explanation:
Given:
- volume of punch in bottle = 65 ounce
- volume of punch = v
- increase in height of punch level on dispenser = 1.5 in
Find:
- The change in height of punch in the dispenser in inches, Δh, in terms of the change in the volume of punch in the dispenser in ounces, Δv.
Solution:
We will assume a linear relationship between the increase in punch level dispenser and the increase in volume of dispenser.
h(v) = m*v + h
Where, m is change of height with respect to volume. Hence,
m = dh / dV = 1.5 / 65 = 3 / 130 in / ounce
Hence,
dh = 3 *dV / 130
Answer:
28/21
Step-by-step explanation:
You would do y1 - y2 for the numerator which gets you 28. Then you would do x1 - x2 for the denominator which gets you 21. The rate of change is also the slope.
Hope this helps!
The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)
<h3>What is an Expression ?</h3>
An expression is defined as a mathematical statement consisting of variables , constants and mathematical operators.
The expression given is
28w⁴x²y⁷+12w⁹x⁸
Factors of the given expression will be the common terms in both the terms
w⁴x² is common in the variable term
The HCF of 28 and 12 is 4
4w⁴x² (7y⁷ + 3w⁵x⁶)
The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)
To know more about Expression
brainly.com/question/14083225
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Answer:
(2) n > 6 (3) -4, -3, -2, -1, 0, and 1.
Step-by-step explanation:
(2) to solve first we subtract 12n from both sides making it 3n > 18 then we divide 3...making it n>6 (remember if you're solving an inequality its not unlike solving an equation)
(3) For this let's separate it into -2<n+3 which solving gets us n > -5
Steps: we subtract 3 from both sides again which makes it -5 < n but usually the variable should go to the left of an equality so n> -5
The other part is n+3 is less than equal to 4. which equals n is less than equal to 1 (I think you get how to solve now :)
once we combine both of the inequalities you'll get -5<n less than equal to 1. Which means the possible values are -4, -3, -2, -1, 0, and 1.
