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Deffense [45]
2 years ago
13

83 Tee (CsT Sequences and Functions

Mathematics
1 answer:
NISA [10]2 years ago
3 0

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x                        y

1                         4

2                        -5

3                        -14

4                        -23

5                         -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

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4 0
3 years ago
A car is traveling at 47 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answe
Amiraneli [1.4K]

Answer:

3676.44 rad/min

Step-by-step explanation:

It is a problem about the angular speed of the car's wheel.

You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:

\omega=\frac{v}{r}    ( 1 )

v: speed of the car = tangential speed of the wheels = 47mph

r: radius of the wheels = 27/2 in = 13.5 in

you change the units of the speed:

47mph*\frac{63360in}{1mille}*\frac{1h}{60min}=49632\frac{in}{min}

next, you replace the values of v and r in the equation (1):

\omega=\frac{v}{r}=\frac{49632in/min}{13.5in}=3676.44\frac{rad}{min}

Then, the car's tires are turning with an angular speed of 3676.44 rad/min

8 0
3 years ago
Can someone please help me with this?
valentina_108 [34]

Answer:

L: 110 W: 90

Step-by-step explanation:

110 + 110 + 90 + 90=400 (perimeter)

110 x 90 =9900 (new area that is greater than the original)

ding ding.

also this was not worth only five pts man LOL

3 0
2 years ago
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ratelena [41]

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find the equivalent expressions ~

#1. PROBLEM

\qquad \tt \dashrightarrow \:11x - 4x + 10x

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\qquad \tt \dashrightarrow \:17x

#2. PROBLEM

\qquad \tt \dashrightarrow \:2(1 + 8y)

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8 0
2 years ago
What is the median of the data
erastova [34]

Answer:

5

Step-by-step explanation:

Median is the middle

5 0
2 years ago
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