90,000,000,000
+ 0
+ 100,000,000
+ 70,000,000
+ 5,000,000
+ 0
+ 80,000
+ 7,000
+ 300
+ 0
+ 9
Expanded Factors Form:
9 × 10,000,000,000
+ 0 × 1,000,000,000
+ 1 × 100,000,000
+ 7 × 10,000,000
+ 5 × 1,000,000
+ 0 × 100,000
+ 8 × 10,000
+ 7 × 1,000
+ 3 × 100
+ 0 × 10
+ 9 × 1
Expanded Exponential Form:
9 × 1010
+ 0 × 109
+ 1 × 108
+ 7 × 107
+ 5 × 106
+ 0 × 105
+ 8 × 104
+ 7 × 103
+ 3 × 102
+ 0 × 101
+ 9 × 100
Word Form:
ninety billion, one hundred seventy-five million, eighty-seven thousand, three hundred nine
G(x) = f(x) + 4
g(x) = 4x^2 + 5 + 4
g(x) = 4x^2 + 9
Answer: T(90) = 93.413 F
Step-by-step explanation:
The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 69e−0.0174t + 79.
T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.
We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes
1f 1 hour = 60 minutes
Then 1.5 hours = 1.5 × 60 = 90 minutes.
We would substitute t = 90 minutes into the equation, it becomes
T(90) = 69e−0.0174×90 + 79
T(90) = 69e−1.566 + 79
T(90) = 14.413 + 79
T(90) = 93.413 F
Answer:
366.6 mm²
Step-by-step explanation:
Step 1: find XY using the Law of sines.
Thus,
m < W = 180 - (70+43) (sum of angles in a triangle)
W = 180 - 113 = 67°
WY = 24 mm
X = 43°
XY = ?
Cross multiply:
Divide both sides by 0.68 to solve for XY
XY ≈ 32.5 mm
Step 2: find the area using the formula, ½*XY*WY*sin(Y).
Area = ½*32.5*24*sin(70)
Area = ½*32.5*24*0.94
= 32.5*12*0.94
Area = 366.6 mm² (nearest tenth)
