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4 years ago

Evaluate the following expression: (-3)^-2

Mathematics

1 answer:

galben [10]4 years ago

5 0

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Anything to the negative power becomes a fraction

x⁻ⁿ = 1/xⁿ

So here we have (-3)⁻² which then becomes $\frac{1}{(-3)^{2} }$

This then simplifies to $\frac{1}{9}$

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3. Maria is a veterinarian. She wants to know how the weight of a puppy is related to its length. To find out, Maria randomly se

sweet [91]

Answer:

Part A. I chose points (7,1.3) and (48,9.8)

Part B. a. Positive correlation; b. y = 0.21x - 0.2

Step-by-step explanation:

Part A.

I chose the first and last points on the line — (7 in, 1.3 lb) and (48 in, 9.8 lb).

That put three points on the line, three above it, and four below.

Part B

a. Type of correlation

There is a positive correlation between the length of a puppy and its weight.

You would expect a longer dog to be bigger and weigh more than a shorter dog.

b. The equation for the line of best fit

The slope-intercept equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (7,1.3) and (48, 9.8).

(i) Calculate the slope of the line

\begin{array}{rcl}

$m & = & \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = & \dfrac{9.8 - 1.3}{48-9}\\\\& = & \dfrac{8.5}{41}\\\\& = & \textbf{0.21 lb/in}\\\\\end{array}$

The slope of the line is 0.21 lb/in.

(ii) Locate the y-intercept

Put the slope and the coordinates of one point into the slope-intercept formula.

$\begin{array}{rcl}y & = & mx + b\\1.3 & = & 0.21\times7 + b\\1.3 & = & 1.47 + b\\b & = & -0.2\\\end{array}$

The y-intercept is at (0,-0.2)

(iii) Write the equation for the line

y = 0.21x - 0.2

5 0

3 years ago

The revenue generated by the band is given by the expression 50x+150y.

Dafna1 [17]

Answer:

They exceed their goal by $150.

Step-by-step explanation:

If x = weekday shows and y = weekend shows, then

50(15) + 150(6)

750 + 900 = 1650

1650 - 1500 = 150

8 0

2 years ago

Can someone please help me with this!! The equation y=4x+2 represents Function G. Which statement is true?

irga5000 [103]

QUESTION :> WHATS STATEMENT IS TRUE ?

ANSWER :> A. OR THE RATE OF FUNCTION G IS GREATER THAN THE RATE OF FUNCTION F BECAUSE 

 2 > (9 — 7).

HOPE IT HELPS 

<h2>#CARY ON LEARNING</h2>

3 0

2 years ago

Mikayla designed a survey to determine the number of people expected at opening night of a community theater. The community has

ioda

The sample is based on the first 25 parents dropping off actors during theater rehearsal hence the sampling method is non random and biased.

A non random sample refers to a sampling method that is not based on chance alone. A biased sampling is one in which some members of the population are more likely to be selected thereby excluding the others.

Since the sample is based on the first 25 parents dropping off actors during theater rehearsal, the sampling method is non random and biased.

Learn more: brainly.com/question/24842573

5 0

3 years ago

Read 2 more answers

Can you plz help out

Archy [21]

Try this option:

1) q: What is the slope of the line and what does it mean in this situation?

a: the slope is 2.5 and it means 'ammount of the rain is 2.5 mm. per hour'.

2) the slope of the line is '2.5'

3) this means that '2.5' mm. of the rain falls every '1' hour.

5 0

3 years ago