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3 years ago

Would a scale factor of -2 be considered an expansion or a contraction?

1 answer:

6 0

Scale factors of negative numbers are contractions

scale factors of numbers greater then 1 are expansions
scale factors of numbers greater then 0 but less then 1 are contractions

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Jane is one of 50 students to take a standardized math test that includes 100 multiple choice questions. If she has the highest

almond37 [142]

Jane's percentile score is 98.

She has scored higher than 49 out of 50 students taking the test (98%).

7 0

4 years ago

Given the recursive formula for an arithmetic sequence find the common difference and the 52nd term

Mice21 [21]

Answer:

Common difference(d) $a_{52}$

(21) -10 -548

(22) -7 -323

(23) 10 547

(24) -100 -5118

Step-by-step explanation:

Let the common difference be denoted by 'd'.

Also the nth difference of an arithmetic sequence is given by: $a_{n}=a_{1}+(n-1)\times d$

(21)

We are given a recursive formula as:

$a_{n}=a_{n-1}-10$

The first term is given by:

$a_{1}=-38$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-10$

The nth term of an arithmetic sequence is given by:

$a_{n}=a_{1}+(n-1)\times d$

Here $a_{1}=-38$ and $d=-10$ .

Hence, $a_{52}=-38+(52-1)\times (-10)$

Hence, $a_{52}=-548$

(22)

$a_{n}=a_{n-1}-7$

$a_{1}=34$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-7$

Here $a_{1}=34$ and $d=-7$ .

Hence, $a_{52}=34+(52-1)\times (-7)$

Hence, $a_{52}=-323$

(23)

$a_{n}=a_{n-1}+10$

$a_{1}=37$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=10$

Here $a_{1}=37$ and $d=10$ .

Hence, $a_{52}=37+(52-1)\times (10)$

Hence, $a_{52}=547$

(24)

$a_{n}=a_{n-1}-100$

$a_{1}=-18$

The common difference for an arithmetic sequence is given by:

$a_{n}-a_{n-1}$

Hence, here we have the common difference as:

$d=-100$

Here $a_{1}=-18$ and $d=-100$ .

Hence, $a_{52}=-18+(52-1)\times (-100)$

Hence, $a_{52}=-5118$

5 0

4 years ago

Han has four shirts in his shirt drawer – a blue shirt, a grey shirt, a white shirt, and an orange shirt. He has three pairs of

Cerrena [4.2K]

Answer:

1/12

Step-by-step explanation:

12 combinations are possible in this scenario. Shirts. Pants

blue 1 blue 2khaki 3black

grey 4 blue. 5khaki 6black

white 7 blue 8khaki 9black

orange 10blue 11khaki 12black

blue/blue are the only matching items so 1/12 chance

7 0

3 years ago

Read 2 more answers

15 liters increased by 60%

Neko [114]

24 liters is the answer

6 0

3 years ago

Read 2 more answers

How do i factor -7x^2+5x+12

yKpoI14uk [10]

Answer:

-(x + 1)(7x - 12)

Step-by-step explanation:

Step 1: Factor out a -1

-1(7x² - 5x - 12)

Step 2:

Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.

So, <em>factor</em>.

-1(x + 1)(7x - 12)

To double check, just expand/FOIL everything and see if it is the same as the original expression.

6 0

3 years ago