Remember to follow PEMDAS and the "left-to-right" rule
39 x 2 = 78
67 - 78 = -11
-11 + 26 + 78
Combine
(-11 + 26) + 78
15 + 78
93 is your answer
hope this helps
Answer:
0.547 in.
Step-by-step explanation:
Volume for a rectangular prism is LxWxH.
--> First turn them into decimals:
* 1/2 = 0.5.
* 7/8 = 0.875.
* 1 1/4 = 1.25.
--> Now use the formula:
* 0.5 x 0.875 x 1.25 = 0.547.
Answer:
11.46°
Step-by-step explanation:
Let x be the angle that yields an arc length of 1 feet, if r= 5 feet, applying the circumference length equation and assuming that a full circumference has 360 degrees:

Rounding to the nearest hundredth, the angle should be 11.46°
We have the following equation:

If we graph this equation we realize that in fact this is an ellipse with
major axis matching the y-axis. So we can recognize these characteristics:
1. Center of the ellipse: The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
2. Length of major axis:
The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>
3. Length of minor axis:
The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:
4. Foci:Let's find c as follows:

Then the foci are:

Answer:
Step-by-step explanation:
The remainder theorem says that when you put the integer part of the binomial for the value of x in f(x), you can solve for the remainder.
f(x) = x^3 - 4x + k is divided by (x - 5) means that 5 is put into f(x)
f(5) = x^3 - 4x + k now put 5 into x on the right
f(5) = 5^3 - 4(5) + k
f(5) = 125 - 20 + k = 91
f(5) = 105 + k = 91
105 + k = 91 Subtract 105 from both sides
k = 91 - 105
k = -14