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SSSSS [86.1K]
2 years ago
12

h.) How many different ways can Johnny place an algebra book, a geometry book, a chemistry book, an English book, and a health b

ook on a shelf?​
Mathematics
1 answer:
Nady [450]2 years ago
7 0

Answer:

5!

Step-by-step explanation:

take algebra book. it can be placed first or 2nd or 3rd or 4th or last. so 5 different ways. but geometry book will be arranged in 4 ways, since algebra book is already arranged.

5p5

5!/0!= 5! = 120

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Ml
Tanya [424]

Answer:

<em>The gold vein is  96 miles away from the farthest gold dust strike.</em>

Step-by-step explanation:

<u>Distance Between two Points in the Plane </u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

The prospector positioned the gold vein at  (-2,9) and the farthest gold dust strike at (94,9). We are required to calculate the distance between these two points. Use the formula:

d=\sqrt{(9-9)^2+(94-(-2))^2}

d=\sqrt{0^2+96^2}

d=\sqrt{96^2}=96

The distance is 96 units, but we know each unit on the graph represents 1 mile, thus the gold vein is 96 miles away from the farthest gold dust strike.

8 0
3 years ago
7x - 22 = 41<br> Im having trouble with this problem
Charra [1.4K]

Answer:

x = 9

Step-by-step explanation:

............................

6 0
3 years ago
Read 2 more answers
Use the slider to rotate AABC about point P through different angles of rotation (a). As you move the slider, you'll see the ima
Hitman42 [59]

Answer:

Step-by-step explanation:

7 0
3 years ago
Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2.
ohaa [14]

Answer:

Step-by-step explanation:

(–1)8 + (–1)7 + –16 + –14 – (–1)2 = -8 -7 -16 -14 +2 = -45+2 = - 43

8 0
3 years ago
The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati
makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\

And the second one would be

y = 2-x \,\,\,\,\,,  1 \leq x \leq 2.

If you rotate the first region around the "y" axis you get that

{\displaystyle A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51 }

And if you rotate the second region around the "y" axis you get that

{\displaystyle A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188 }

And the sum would be  2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first  region around the x axis you get that

{\displaystyle A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708 }

And if you rotate the second region around the x axis you get that

{\displaystyle A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472 }

And the sum would be 1.5708+1.0472 = 2.618

7 0
3 years ago
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