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TEA [102]
3 years ago
15

Ab= 6 / a+b = 5 find a² + b²

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0

Answer:

a2+b2= (a+b)2 - 2ab

a2+b2= (5)2 + 2(6)

a2+b2= 25+12.

a2+b2= 37

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Simplify the expression. Write the answer using scientific notation.<br> (9x10^2)(2x10^10)
Andrews [41]
(9 x 10^2)(2 x 10^10)
(9 x 100)(2 x 10,000,000,000)
(900)20,000,000,000) = 1.8e +13

7 0
3 years ago
*!!!* please help me!! i’ll mark brainliest if the answer is right!
Margaret [11]

Answer

Roundworm is 9ft long and the tapeworm is 60 feet long

Step-by-step explanation:

If we turn this into an algebraic equation we get 8x-3=69 with 8x being x + 7x because we know that the tape worm is about 7 times longer than the round worm and the roundworms length would be x here. We have the -3 because it is 3 minus 7 times the total length. We do this and eventually end up with x = 9 which is the length of the roundworm. We multiply that by 7 to get 63 and subtract 3 to get 60. If you want to check if this is right do 60+9 and you'll get 69 which is the total of them end to end. (also 69 funny haha)

5 0
3 years ago
In a class of 30 students, 13 of them are boys.
Grace [21]

56%

subtract 13 from 30, and you get 17. Then you need to divide 17 and 30

8 0
2 years ago
Read 2 more answers
The University of Texas at Austin has three times as many students enrolledas the University of Miami. The University of Califor
harina [27]

Answer:

University of Texas has 46,500 students, University of California has 34,000 students and University of Miami has 15,500 students.

Step-by-step explanation:

Represent Texas with T, Miami with M and California with C. With the given information, the following equations were obtained.

T = 3 × M

T – 3M = 0 ………………………….(i)

C = 3,000 + 2 × M

C – 2M = 3,000…………………..(ii)

T + C + M = 96,000…………….(iii)

By rearranging, we have:

1T + 0C – 3M = 0 ………………………….(i)

0T + 1C – 2M = 3,000…………………..(ii)

1T + 1C + 1M = 96,000………….…….(iii)

The Augmented Matrix is:

\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

Making \left[\begin{array}{ccc}T\\C\\M\end{array}\right] the subject of the formula we have:

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \frac{\left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]}{\left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right]}

Let’s say matrix A = \left[\begin{array}{ccc}1&0&-3\\0&1&-2\\1&1&1\end{array}\right], the inverse of matrix A = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] is determined by the formula \frac{Adjoint(A)}{determinant(A)}. This can also be computed directly on a scientific calculator.

\left[\begin{array}{ccc}T\\C\\M\end{array}\right] = \left[\begin{array}{ccc}\frac{1}{2} &-\frac{1}{2} &\frac{1}{2} \\-\frac{1}{3} &\frac{2}{3} &\frac{1}{3} \\-\frac{1}{6} &-\frac{1}{6} &\frac{1}{6} \end{array}\right] \left[\begin{array}{ccc}0\\3,000\\96,000\end{array}\right]

= \left[\begin{array}{ccc}46,500\\34,000\\15,500\end{array}\right]

T = 46,500

C = 34,000

M = 15,500

6 0
4 years ago
Read 2 more answers
$3.50 for 1/2 pound of cheese whats the cost for 1 pound
jeka57 [31]

Answer:

7 dollars

Step-by-step explanation:

Because 1/2 a pound is half of 1 pound and 3.50 is the value of half that pound, you can add 3.50 to 3.50 to get 7 dollars which is the value for 1 pound

6 0
3 years ago
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