Answer:
1109
Step-by-step explanation:
The first term is -27, and the common difference is 16.
The nth term is:
a = a₁ + d (n − 1)
a = -27 + 16 (n − 1)
a = -27 + 16n − 16
a = 16n − 43
The 72nd term is:
a = 16(72) − 43
a = 1109
![-(6)^{-1} = ?](https://tex.z-dn.net/?f=-%286%29%5E%7B-1%7D%20%3D%20%3F)
<span>Representing in fraction for the best understanding
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![-(\frac{6}{1}) ^{-1} = ?](https://tex.z-dn.net/?f=%20-%28%5Cfrac%7B6%7D%7B1%7D%29%20%5E%7B-1%7D%20%3D%20%3F)
<span>
When the exponent is negative, the inversion is made, the numerator becomes the denominator, and the denominator becomes the numerator, and the change of signal from the exponent, which was negative, becomes positive.
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![-( \frac{1}{6} )^1 =](https://tex.z-dn.net/?f=-%28%20%5Cfrac%7B1%7D%7B6%7D%20%29%5E1%20%3D%20)
![\boxed{\boxed{- \frac{1}{6}}}\end{array}}\qquad\quad\checkmark](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B-%20%5Cfrac%7B1%7D%7B6%7D%7D%7D%5Cend%7Barray%7D%7D%5Cqquad%5Cquad%5Ccheckmark)
Answer:
c.-1/6
the only thing you need to do is separate m:
2/7m= 3/14 + 1/7
2/7m= 5/14
m= (5/14)/(2/7)
m= 5/14 × 7/2
m= 35/28
m= 5/4
<span>A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.
</span><span>A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
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<span>A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.
the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.
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