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Readme [11.4K]
3 years ago
10

Find the 9th term in the following arithmetic sequence -7, -1, 5, 11

Mathematics
2 answers:
Masja [62]3 years ago
6 0

Answer:

41

Step-by-step explanation:

calculate the difference between each number and find out how many are left in the sequence and multiply by that

in this case the difference was 6 and you needed 5 more until you hit the ninth number so 5*6+30 30+11=41

inn [45]3 years ago
3 0

Answer:

41

Step-by-step explanation:

1. Multiply 5 by 6 in order to get to the 9th number. (5 places away, 4 were given.) Also, notice that the difference between all of the numbers are consistently 6.

2. Add 30 to 11, which gives you 41.

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Find the value of X.
nataly862011 [7]
RS + ST = RT

3x + 1 + 2x - 2 = 64
5x - 1 = 64
5x = 64 + 1
5x = 65
x = 65/5
x = 13 <==

7 0
4 years ago
Plot the vertex and the axis of symmetry of this function on the provided graph.
tia_tia [17]

Answer:

(-2,-6)

-2

Step-by-step explanation:

To get the vertex take the number that's in the parathenses with the x and flip it's sign (in this case to a negative) which means we have

-2

 this is the x coordinate of the vertex.

Next take the number that's being subtracted (or added) on the outside and leave that as is (-6)

This is the y coordinate

which means we have (-2,-6)

the axis of symmetry is just the x coordinate of the graph

which is -2

5 0
3 years ago
How is a rational number converted to its decimal form?
luda_lava [24]

Answer:

Answer to first question is:

You can convert all fractions to decimals. The decimal forms of rational numbers either end or repeat a pattern. If the fraction is a mixed number, change it to an improper fraction. Divide the numerator by the denominator. If the division doesn't come out evenly, round the decimal off.

Answer to second question is: 0.222222

Answer to third question is: Yes

Step-by-step explanation:

Well the way I think of it is:

3/9 as a fraction is 1/3... so 1 divided by 3 equals 0.333333 repeating. You can even write it as:

   _

0.3 with the fraction bar over it because it keeps repeating.

This goes for 2/9. All you have to do is do 2 divided by 9 and you get 0.222222 repeating. You can even write it as:

<h3>   _</h3>

0.2 with the fraction bar over it because it keeps repeating.

Hope this helps, have a good day. c;


3 0
3 years ago
A jewelry box is designed such that its length is twice its width and its depth is 2 inches less than its width the volume of th
Sedaia [141]

Answer:

Volume = 2x^{3}-4x^{2}

Step-by-step explanation:

Let x be the width of the jewellery box

Given:

Length of the box is twice its width

Length of the box = 2\times width

Length of the box = 2\times x= 2x

depth of the box is equal to 2 inches less than its width.

depth of the box = width-2

depth of the box = x-2

The volume of the box is 64 inches.

Solution:

We know that the formula of the volume is.

Volume = length\times width\times depth

Now we substitute all known value in above.

Volume = 2x\times x\times (x-2)

Volume = 2x^{2}(x-2)

Volume = 2x^{3}-4x^{2}

Therefore, the equation of the volume of the box is.

Volume = 2x^{3}-4x^{2}

5 0
3 years ago
Find the value of x. If necessary, write your answer in simplest radical form.<br> 15<br> 10
natita [175]

Answer:

x = 5√5

Step-by-step explanation:

x² + 10² = 15²

x² + 100 = 225

x² = 125

x = √125

x = 5√5

5 0
3 years ago
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