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Snowcat [4.5K]
3 years ago
9

What is the best measure of center for this data set?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0
I believe the answer to your question is b.
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A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. What is the rate o
NISA [10]

Answer:

the rate of change of the area is Ra= 80 mm² per second

Step-by-step explanation:

the area of a rectangle (A) is

A = L * W , L= length and W= width

if the width remains constant the change in the area is only due to the change in length , thus:

ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length

ΔA = W ΔL

denoting Δt as the time required to change, and dividing both sides by Δt

ΔA/Δt = W ΔL/Δt

where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.

thus

Ra = W * RL

replacing values

Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second

6 0
3 years ago
What is the value of (5.3x10^4)(4.2x10^3)l
Alenkinab [10]

Answer:

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

Step-by-step explanation:

(5.3x10^4)(4.2x10^3)

Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.

5.3 x 10^4 x 4.2 x 10^3

= 5.3 * 4.2 * 10^4 * 10^3

= 22.26 * 10^7

Either convert back to scientific notation, standard form or keep as it is.

scientific notation = 2.226 * 10^8

Standard form = 222600000

As it is 22.26 * 10^7

3 0
3 years ago
1. Katie buys a bag of cat food that contains 8 cups of dry food. She feeds her cat, Elmer, of a cup of food
Makovka662 [10]

Answer:

Step-by-step explanation:

For the points lol

5 0
3 years ago
Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =
Vika [28.1K]

Answer:

y = x+12

Step-by-step explanation:

Parallel => <u><em>This means it has the same slope as this one.</em></u>

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

<u><em>Putting this in slope intercept form to get b</em></u>

y = mx+b

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>

=> y = mx+b

=> y = x+12

6 0
3 years ago
Simplify completely x^2+4x-45 / x^2+10x+9
S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0
3 years ago
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