Answer: 47/8
Step-by-step explanation: To write a mixed number as an improper fraction, first multiply the denominator by the whole number and then add the numerator. Finally, we will put our new number over our old denominator and we have our answer which is 47/8.
Therefore, 
can be rewritten as the improper fraction 47/8.
Answer:
Step-by-step explanation:
(-3 ab²)³=(-3)³(a)³(b²)³=-27 a³b^(2×3)=-27 a³b^6
We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.
The answer is the letter "B".
Answer:
B: y = 2x² - 16x + 40
Step-by-step explanation:
You can find this simply by expanding the given function:
y = 2(x - 4)² + 8
y = 2(x² - 8x + 16) + 8
y = 2x² - 16x + 32 + 8
y = 2x² - 16x + 40
Answer:
The value found is.
sin θ = 0.6
Step-by-step explanation:
We know that the value of cosθ is given -4/5
cosθ = -4/5
First, lets finds the angle θ by taking inverse of cosine of -4/5
θ = cos⁻¹ (-4/5)
θ = 143.13°
Substitute the found θ = 143.13° it in tanθ to see if satisfies the equation tanθ < 0:
tanθ < 0
tan(143.13°) < 0
-0.75 < 0
Hence the equation is satisfied.
Which means that θ is equals to 143.13° and can be used to find sinθ
sinθ = sin 143.13°
sin 143.13° = 0.6
