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andrey2020 [161]
3 years ago
7

What is the explicit formula for this sequence ?

Mathematics
1 answer:
marta [7]3 years ago
8 0

Answer:

B

Step-by-step explanation:

common difference is 3

explicit formula is

first term + ( n-1 ) * common difference

= -7 + ( n-1) * 3

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How many solutions does the following system of equations have?<br> y=5/2x+2<br> 2y= 5x +4
goldfiish [28.3K]

Answer:

infinite solutions

Step-by-step explanation:

y=5/2x+2

2y= 5x +4

Multiply the first equation by 2

y = 5/2 x +2

2y = 5/2 *2 x +2 *2

2y = 5x +4

Since this is identical to the second equation (they are the same), the system of equations has infinite solutions

3 0
3 years ago
Tracy took a test that had 24 questions. She got 5/6 of the questions correct. How many questions did she answer correctly?
grandymaker [24]

Answer:

20

Step-by-step explanation:

so 5 out of 6

6 divides 24 equally in two parts

take one away every 6 questions

20 questions correctly

3 0
3 years ago
Adjoint of [1 0 2 -1] is
aliina [53]

The adjoint of the matrix \left[\begin{array}{cc}1&0\\2&-1\end{array}\right] is \left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]

<h3>How to determine the adjoint?</h3>

The matrix is given as:

\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]

For a matrix A be represented as:

A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]

The adjoint is:

Adj = \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]

Using the above format, we have:

Adj = \left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]

Hence, the adjoint of the matrix \left[\begin{array}{cc}1&0\\2&-1\end{array}\right] is \left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]

Read more about matrix at:

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7 0
2 years ago
Thirteen unit cubes are taken from the tousand cube write a fraction and a decimal to represent how many unit cubes are left
Neko [114]

The number of unit cubes left after taken 13 unit cubes from the thousand unit cubes expressed as a fraction and decimal is; 987/1000 and 0.987 respectively.

<h3>What is the number of unit cubes left when thirteen unit cubes are taken away from a thousand expressed as a fraction and decimal?</h3>

It follows from the task content that the description goes thus; Thirteen unit cubes are taken from the thousand cube.

Hence, the number of unit cubes left is; 1000 - 13 = 987.

Consequently, when expressed as a fraction of the whole, we have; = 987/1000 and when expressed as a decimal, we have; 0.987.

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4 0
2 years ago
Read 2 more answers
Work out the area of a semi circle with a radius of 3cm<br> give your answer in terms of pi
Ivenika [448]
<h3>The area of semicircle is 4.5 \pi\ cm^2</h3>

<em><u>Solution:</u></em>

Given that,

We have to find the area of a semi circle with a radius of 3 cm

<em><u>The area of semicircle is given as:</u></em>

Area\ of\ semicircle = \frac{ \pi r^2}{2}

Where, r is the radius

From given,

r = 3 cm

<em><u>Substituting the values we get,</u></em>

Area\ of\ semicircle = \frac{ \pi \times 3^2}{2}\\\\Area\ of\ semicircle = \frac{ \pi \times 9}{2}\\\\Area\ of\ semicircle = 4.5 \pi

Thus the area of semicircle is 4.5 \pi\ cm^2

4 0
4 years ago
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