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son4ous [18]
3 years ago
14

Identify the 33rd term of the arithmetic sequence 9, 7 and one half, 6...

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

  -39

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

This sequence has first term a1=9 and common difference d=(7.5-9) = -1.5. Then the 33rd term is ...

  a33 = 9 -1.5(33 -1) = 9 -48 = -39

The 33rd term is -39.

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Someone PLEASE help me!!!!!<br> Evaluate -/3/
Veseljchak [2.6K]

if / means absolute value, then the answer is -3. The absolute value of 3 is 3, then you take the negative value of it, which is -3.


Btw, the absolute sign is ||, not //.


5 0
3 years ago
Examine the system of equations.
MrMuchimi

answer:

x =  - 2 \\ y = 2 \\  \\ ( - 2, \: 2)

explanation:

y =  -  \frac{1}{2} x + 1 \\ y = 2x + 6 \\ first \: equation \: add \:  \frac{1}{2} from \: both  \\  sides \\   \\ second \: equation \: subtract \: 2x \: from  \\  both \: sides \\  \\ y +  \frac{1}{2} x = 1 \\ y - 2x = 6 \\ solve \: the \: first \: equation \\  \\ y +  \frac{1}{2} x = 1 \\ subtract \:  \frac{x}{2} from \: both \: sides \\  \\ y =  -  \frac{1}{2} x + 1 \\ substitute \:  -  \frac{x}{2}  + 1 \: for \: y \: in \: the  \\ other \: equation \\  \\  -  \frac{1}{2} x + 1 - 2x = 6 \\ add \:   \frac{1}{2} x \: to \: 2x \\  \\  -  \frac{5}{2} x + 1 = 6 \\ subtract \: 1 \: from \: both \: sides \\  \\  -  \frac{5}{2} x = 5 \\ divide \: both \: sides \: by \:  -  \frac{5}{2}  \\  \\ x =  - 2 \\ substitute \: the \: value \: of \: x \: into \\ an \: equation \\  \\ y =  -  \frac{1}{2} ( - 2) + 1 \\ distribute \\  \\ y = 1 + 1 \\ add  \\  \\ y = 2 \\  \\ ( - 2, \: 2)

7 0
3 years ago
A triangle ABC has A(1,-4) B(3,-1) C(3,-8).Find the length of the sides AB and AC
mr_godi [17]

Answer:

Step-by-step explanation:

AB=\sqrt{(1^{2} -3^{2})+((-4)^{2} -(-1)^{2} ) }

     =\sqrt{7}

AC=\sqrt{(3^{2} -1^{2} )+((-8)^{2}- (-4)^{2} )} \\

     =\sqrt{56}

4 0
3 years ago
Bob is the supervisor for a window washing company. He goes to a job site to inspect the work and make sure his crew has washed
snow_tiger [21]

Answer:

Start on 8 the floor

 Up 6 floors

 Descend 10

 Above 2

 Increase 15

 Down 3

 Ascend 7

 Lessen 5 floors

 Up 2

 The opposite of -2 floors

 Drop 15

 Descend 8

 Ascend 10

 Rising 6 floors

 Decrease 2

 Drop 3

 Sink 2 floors

 The opposite of -13

 Decrease 7

 Lower 14

 Advance 1 floor

 Increase 4

It is time for the crew to clock out for the day. What floors do they still have to finish? Draw a visual representation of the problem. Explain how you solved it.

Answer:



Step-by-step explanation:



Step-by-step explanation:

4 0
2 years ago
At a restaurant, Brandy paid twice as much as Katie, and Katie paid $3 more than Stephanie. If the total combined amount they pa
gregori [183]
Let the amount that Brandy paid be b, the amount that Katie paid be k, and the amount that Stephanie paid be s.

b=2k
s=k+3
b+s+k=56

Substituting and doing the equation only in terms of k, we get:

2k+(k+3)+k=56
4k+3=56
4k=53
k=13.25
Katie paid $13.25.
Hope this helps!
4 0
3 years ago
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