answer : am/b
Step-by-step explanation:
the rate of copying packets = a/b
each packet (a) contains *m* pages
total number of pages in all books together is =a×m
so the rate of copying of pages = a×m/b
Answer:
i'm not sure ...
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write 124 in scientific notation.
Then, in scientific notation, 124 is written as 1.24 × 102. Actually, converting between "regular" notation and scientific notation is even simpler than I just showed, because all you really need to do is count decimal places.
The question is missing the figure which is attached below.
Answer:
1620 cm³
Step-by-step explanation:
Given:
The two prisms are similar.
Volume of the smaller prism (V₁) = 60 cm³
Length of the smaller prism (l₁) = 5 cm
Length of the larger prism (l₂) = 15 cm
Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,
![\frac{l_2}{l_1}=\frac{b_2}{b_1}=\frac{h_2}{h_1}=k(constant)\\\\Where,\\b_1,b_2\to\ widths\ of smaller\ and\ larger\ prisms\ respectively\\\\h_1,h_2\to\ heights\ of\ smaller\ and\ larger\ prisms\ respectively](https://tex.z-dn.net/?f=%5Cfrac%7Bl_2%7D%7Bl_1%7D%3D%5Cfrac%7Bb_2%7D%7Bb_1%7D%3D%5Cfrac%7Bh_2%7D%7Bh_1%7D%3Dk%28constant%29%5C%5C%5C%5CWhere%2C%5C%5Cb_1%2Cb_2%5Cto%5C%20widths%5C%20of%20smaller%5C%20and%5C%20larger%5C%20prisms%5C%20respectively%5C%5C%5C%5Ch_1%2Ch_2%5Cto%5C%20heights%5C%20of%5C%20smaller%5C%20and%5C%20larger%5C%20prisms%5C%20respectively)
![\frac{l_2}{l_1}=\frac{15\ cm}{5\ cm}=3\\\\\therefore\ k=3](https://tex.z-dn.net/?f=%5Cfrac%7Bl_2%7D%7Bl_1%7D%3D%5Cfrac%7B15%5C%20cm%7D%7B5%5C%20cm%7D%3D3%5C%5C%5C%5C%5Ctherefore%5C%20k%3D3)
This means that, the smaller figure is dilated by a scale factor of 3.
Hence, ![l_2=3l_1,b_2=3b_1,h_2=3h_1](https://tex.z-dn.net/?f=l_2%3D3l_1%2Cb_2%3D3b_1%2Ch_2%3D3h_1)
Volume of smaller prism is given as:
![V_1=l_1b_1h_1\\\\l_1b_1h_1=60\ cm^3](https://tex.z-dn.net/?f=V_1%3Dl_1b_1h_1%5C%5C%5C%5Cl_1b_1h_1%3D60%5C%20cm%5E3)
Volume of larger prism is given as;
![V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]](https://tex.z-dn.net/?f=V_2%3Dl_2b_2h_2%5C%5C%5C%5CV_2%3D3l_1%5Ctimes%203b_1%5Ctimes%203h_1%5C%5C%5C%5CV_2%3D27%28l_1%20b_1h_1%29%5C%5C%5C%5CV_2%3D27%5Ctimes%2060%3D1620%5C%20cm%5E3%5C%20%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20l_1b_1h_1%3D60%5C%20cm%5E3%5D)
Therefore, the volume of the larger rectangular prism is 1620 cm³.
(7x + 2 + 8x^4) – (2x – 5 – 8x^4) + (3x + 5x^4)
= 7x + 2 + 8x^4 – 2x + 5 + 8x^4 + 3x + 5x^4
= 8x + 7 + 21x^4
= 21x^4 + 8x + 7