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Marysya12 [62]
4 years ago
15

The sum of -5, -9, and 10 is _____. -4 14 -14 4

Mathematics
2 answers:
AnnZ [28]4 years ago
7 0

Answer:

b

Step-by-step explanation:

it will be b

alexandr1967 [171]4 years ago
5 0

Answer:

14

Step-by-step explanation:

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George is killed in an auto accident. The following is his Last Will and Testament:
AfilCa [17]

Answer:

2670.000$ is the total amount of assets and liabilities

3 0
3 years ago
Determine the formula for the nth term of the sequence:<br>-2,1,7,25,79,...​
rodikova [14]

A plausible guess might be that the sequence is formed by a degree-4* polynomial,

x_n = a n^4 + b n^3 + c n^2 + d n + e

From the given known values of the sequence, we have

\begin{cases}a+b+c+d+e = -2 \\ 16 a + 8 b + 4 c + 2 d + e = 1 \\ 81 a + 27 b + 9 c + 3 d + e = 7 \\ 256 a + 64 b + 16 c + 4 d + e = 25 \\ 625 a + 125 b + 25 c + 5 d + e = 79\end{cases}

Solving the system yields coefficients

a=\dfrac58, b=-\dfrac{19}4, c=\dfrac{115}8, d = -\dfrac{65}4, e=4

so that the n-th term in the sequence might be

\displaystyle x_n = \boxed{\frac{5 n^4}{8}-\frac{19 n^3}{4}+\frac{115 n^2}{8}-\frac{65 n}{4}+4}

Then the next few terms in the sequence could very well be

\{-2, 1, 7, 25, 79, 208, 466, 922, 1660, 2779, \ldots\}

It would be much easier to confirm this had the given sequence provided just one more term...

* Why degree-4? This rests on the assumption that the higher-order forward differences of \{x_n\} eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of \{x_n\} by \Delta^{k}\{x_n\}. Then

• 1st-order differences:

\Delta\{x_n\} = \{1-(-2), 7-1, 25-7, 79-25,\ldots\} = \{3,6,18,54,\ldots\}

• 2nd-order differences:

\Delta^2\{x_n\} = \{6-3,18-6,54-18,\ldots\} = \{3,12,36,\ldots\}

• 3rd-order differences:

\Delta^3\{x_n\} = \{12-3, 36-12,\ldots\} = \{9,24,\ldots\}

• 4th-order differences:

\Delta^4\{x_n\} = \{24-9,\ldots\} = \{15,\ldots\}

From here I made the assumption that \Delta^4\{x_n\} is the constant sequence {15, 15, 15, …}. This implies \Delta^3\{x_n\} forms an arithmetic/linear sequence, which implies \Delta^2\{x_n\} forms a quadratic sequence, and so on up \{x_n\} forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.

5 0
2 years ago
The exterior angles of triangle UVW are X, Y, and Z, and they are adjacent to U, V, and W, respectively. If mV is 91°, and mZ is
makvit [3.9K]
The measure of angle U is 29 degrees. Triangles have general properties which include, all interior angles add up to 180 degrees, all exterior angles add up to 360 degrees and adjacent interior and exterior angles add up to 180 degrees. In the given, exterior angle Z is 120, while its adjacent interior angle is unknown. To get W, subtract 120 from 180 degrees. The value of W is 60. With 2 known interior angles, subtract 60 and 91 from 180 to get the measure of angle U.
5 0
3 years ago
Simplify your answer and write it as a proper fraction or as a whole or mixed number.6 2/11 1/11 =
Kisachek [45]
6 3/11=6 2/11 + 1/11 = 6 3/11
4 0
3 years ago
Four students, Jackson, Chloe, Lydia, and Noah, line up one behind the other. How
faltersainse [42]
4^4 = 256

So 256 ways
5 0
3 years ago
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