Answer:
12⁽¹⁸⁾
Step-by-step explanation:
The expression is given as ;
12³ × 12⁹× 12⁴× 12² -----same base, add the powers according to law of indices
12⁽³⁺⁹⁺⁴⁺²⁾
12⁽¹⁸⁾
Answer:
6 for 76 and 5 for 94
Step-by-step explanation:If you divide 76 with 6 the quotient will be 12 and the remainder will be 4 and if you divide 94 by 5 the quotient will be 18 and the remainder will be 4. Thank me later .
h(t) = -46t² + 40t + 3
We can think this graph by t being the x-axis and h being y-axis
So we want the maximum value to y.
We know by math that the vertex of a parabola is (-b/2a, -Δ/4a)
So the y value of the vertex is -Δ/4a
Let's calculate:
Δ = b² - 4.a.c
Δ = 40² - 4.(-46).3
Δ = 2152
Yvertex = -2152/4.(-46)
Yvertex = 2152/184
Yvertex = 269/23
Now we have the value of y we need to equal it to the equation
269/23 = -46t² + 40t + 3
-46t² + 40t + 3 - 269/23 = 0
-46t² + 40t - 200/23 = 0
Δ = b² - 4.a.c
Δ = 40² - 4 . -46 . (-200/23)
Δ = 1600 - 4. -46 . (-200/23)
Δ = 0
There's 1 real root.
In this case, x' = x'':
x = (-b +- √Δ)/2a
x' = (-40 + √0)/2.-46
x'' = (-40 - √0)/2.-46
x' = -40 / -92
x'' = -40 / -92
x' = 0,43478260869565216
x'' = 0,43478260869565216
So, after approximately 0,4348 seconds the balloon will reach the highest point.
B) height after 2 seconds
h(2) = -46.2² + 40.2 + 3
h(2) = -46.4 + 80 + 3
h(2) = -184 + 83
h(2) = -101
Not sure how it's possible but it would be -101.
First, since its $1 per fry, do 19.96-4 = 15.96, then divide that by four because of the number of days, and the big mac cost will be 3.99 :)
The change in average height of the trees on the farm with respect to the number of years since the trees were planted is = 7ft/yr.
<h3>What is the linear relationship?</h3>
- A statistical word used to express a straight-line relationship between two variables is a linear relationship (or linear association).
- Graphs and mathematical equations of the form y = mx + b can both be used to represent linear relationships.
- In everyday life, linear relationships are quite prevalent.
The midpoint of the axis is=
In the intercept form-
- y= mx+b
- y= mx+3
- y= mx +3
- 10 =m(1) + 3
subtracting 3 from both sides-
Hence, the rate of change is 7ft/yrs.
Know more about linear relationship click here:
brainly.com/question/13828699
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