Answer:
Range = 0.125
Step-by-step explanation:
The detailed steps is as shown in the attached file.
The length = 6W + 7. 2L + 2W = 70. This is a system of equations. To get L by itself in the second problem, -2W from both sides to get 2L = 70 - 2W. Divide by 2 to get L = 35 - W. Now put them together. 6W +7 = 35 - W. Add W to both sides to get 7W + 7 = 35. Subtract 7 from both sides to get 7W = 28. Divide 7 to both sides to get W = 4. Now replace W with 4. 6(4) + 7 = L. 24 + 7 = 31. The length is 31. To check, do the second equation. 2(31) + 2(4) = 62 + 8 = 70. Your answer is 31.
Answer:
x = 0.25
Step-by-step explanation:
When logs are added together, they are actually multiplied and then the logs taken of the product.
That sentence is actually correct, but you are going to have to read it a couple of times. You might understand it if I actually just solve the problem.
ln(2x) + ln(2) = 0 Combine the two subjects to make 1 ln.
ln (2)(2x) = 0 Now take the antilog
ln(4x) = 0
antilog ln(4x) = e^0 e^0 = 1
4x = 1 See your last problem.
x = 1/4
Now the question is "What's the answer?" It might be 1/4 but I doubt it. A better choice would be x = 1/4 or x = 0.25
I'd try the last one first.
Odd integers are 2 apart
they are
x,x+2,x+4
sum is -75
x+x+2+x+4=-75
3x+6=-75
minus 6 both sides
3x=-81
divide both sides by 3
x=-27
x+2=-25
x+4=-23
the largest is the farthest to right on a number line
largest is -23
Answer:
Height of slide = 5 feet (Approx.)
Step-by-step explanation:
Given:
Length of slide = 12 feet
Angle of depression = 25°
Find:
Height of slide
Computation:
Length of slide = Hypotenuse
Height of slide = Perpendicular
Using trigonometry function;
Sin θ = Perpendicular / Hypotenuse
Sin 25 = Height of slide / 12
0.422 = Height of slide / 12
Height of slide = 12 x 0.422
Height of slide = 5.064
Height of slide = 5 feet (Approx.)
