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2 years ago

What is the 12th term of the sequence? 3, −9, 27, −81, 243, ...

1 answer:

6 0

The answer is 27 because not only does it refer to the number line sequence it doesn't actually mean a big number comes behind it. what ever it starts with,it multiplies the same pass the big number

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A rectangular national sight-seeing park with length of 2 miles and width of 3 miles allows a maximum capacity 250 people. Find

Leya [2.2K]

Answer:

41.67

Step-by-step explanation:

6 0

2 years ago

The following graph details the number of performances of plays a Shakespearean acting company has performed over the past five

Rufina [12.5K]

Answer:

Step-by-step explanation:

Percentage of Twelfth Night= 17%

The company has performed Twelfth Night 25 times in the past five years

Let the total number of performance over the past five years=x

Therefore:

17% of x=25

0.17x=25

x=25/0.17

x=147.06

x=147 (to the nearest whole performance).

The company has performed a total of 147 performances.

<u>The correct option is C</u>

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7 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

2 years ago

Read 2 more answers

In somalia, city b is 75 kilometers due north of city

nadya68 [22]

We first approach this problem by forming a diagram. Refer to the attachment.

You might notice a right triangle forming when you connect cities A, B, and C. In this case, we'll just need the Pythagorean theorem when solving for the distance between city B and city A.

$AB^{2}=BC^{2} + AC^{2}= 75^{2} + 42^{2} =7389$
$AB=85.96$

ANSWER: The distance between city B and city A is 85.96 kilometers.

4 0

2 years ago

PLEASE HELP FAST! ITS EASY! WILL GIVE BRAINLIEST!

AveGali [126]

Answer:

160 kilometers per hour

9560 kilometers per minute

8 0

2 years ago