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3 years ago

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 //.

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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