MATHEMATICS MIDDLE SCHOOL

Find the first four terms of the sequence given by the following.an = 32+(n-1)-3, n=1, 2, 3...

Answers

Answer 1

Answer:

The first four terms are 32,29,26,23

Step-by-step explanation:

Given sequence is:

$a_n=32+(n-1)(-3)\n$

We will put n=1,2,3,4

Putting n=1 in formula of sequence

$a_1=32+(1-1)(-3)\n=32+(0)(-3)\n=32+0\n=32$

Putting n=2

$a_2=32+(2-1)(-3)\n=32+(1)(-3)\n=32-3\n=29$

Putting n=3

$a_3=32+(3-1)(-3)\n=32+(2)(-3)\n=32-6\n=26$

Putting n=4

$a_4=32+(4-1)(-3)\n=32+(3)(-3)\n=32-9\n=23$

The first four terms are 32,29,26,23

Keywords: Arithmetic sequence, Recursive Formula

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Which of the following algebraic expressions can be used to express the statement "one less than x squared?" A. 1 − x to the power of 2
B. x to the power of2 − 1
C. 1 − 2x
D. 2x − 1

Answers

B. $x^(2) - 1$

B!! D to the power of 2-1!
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Kelsey has 20 pints of potting soil. She wants to put the soil in quart containers for the science lab. How many quart containers does she need? Show and explain your thinking.

Answers

20 pints = 10 quarts

She needs 1 quart for each containers, she only has 10 quarts of soil so she can only fill 10 containers.

The answer:10

morgan plays basketball. he bounces the ball and it goes up 50 feet above ground level in 25 seconds. by what rate per second does the ball go up in the sky?

Answers

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I need help with this Two-step equation

18-4x= -2

Can anyone help?

Answers

- - Star to simplify both sides of the equation.

$18-4x=-2$

- - Now you have top subtract 18 from both sides.

$-4x+18-18=-2-18$
- - Solve:
$-4x=-20$

- - And divide both sides by -4.

- - Solve:
$(-4x)/(-4) = (-20)/(-4)$

$x=5$

first u would take the 18 and - it on both sides
18 - 18 - 4x = -2 - 18
which would be
-4x = -20
then u would divide 4 on bothe sides
-4x/4 = -20/4
which would give u
- x = - 5
this is the answer for the negative x
for positive u would flip the answer
so
x = 5 which then = 4
x=5 is ur answer
hope this helps or u understand wat im sayin

Figure ABCD is reflected across the x-axis.What are the coordinates of A' , B' , C' , and D' ?

Enter your answer in each box.

A' ( , )
B' ( , )
C ( , )
D ( , )

Answers

The coordinates of A', B', C' and D' are $(2,-3)$ , $(5,-5)$ , $(7,-3)$ and $(5,-2)$

Explanation:

The coordinates of ABCD from the graph is given by

A is $(2,3)$ , B is $(5,5)$ , C is $(7,3)$ and D is $(5,2)$

The figure ABCD is reflected across the x - axis.

We need to determine the coordinates of A', B', C' and D' after it is reflected across the x - axis.

Since, we know that the rule to reflect across the x - axis is given by

$(x, y) \rightarrow(x,-y)$

Thus, using this rule, we shall determine the coordinates of A', B', C' and D'

$A(2,3) \Rightarrow A^(\prime)(2,-3)$

$B(5,5) \Rightarrow B^(\prime)(5,-5)$

$C(7,3) \Rightarrow C^(\prime)(7,-3)$ and

$D(5,2) \Rightarrow D^(\prime)(5,-2)$

Thus, the coordinates of A', B', C' and D' are $(2,-3)$ , $(5,-5)$ , $(7,-3)$ and $(5,-2)$

May someone explain how to do this or what the answer is ?

Answers

Answer:

x=30°

Step-by-step explanation:

To find the value of x we need atleast 2 other angles, and we do we have one 70, but we need to get another angle from the info given outside the triangle,

Notice, the angle beside 100 can be found by simply subtracting 180-100

(since angles are on a straight line [Supplementary angles]

So, the angle is 80

Now, we know that the angles inside a triangle add up to 180

So basically, to find x:

70+80+x = 180

150+x = 180

x = 180-150

x=30°

Hoep this helps!

Mark brainliest if you think i helped! Would really appreciate!

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