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umka21
19 days ago
11

Darius is studying the relationship between mathematics and art. He asks friends to each draw a "typical” rectangle. He measures

the length and width in centimeters of each rectangle and plots the points on a graph, where x represents the width and y represents the length. The points representing the rectangles are (6.1, 12.0), (5.0, 8.1), (9.1, 15.2), (6.5, 10.2), (7.4, 11.3), and (10.9, 17.5). Which equation could Darius use to determine the length, in centimeters, of a "typical” rectangle for a given width in centimeters?
A. y = 0.605x + 0.004
B. y = 0.959x + 0.041
C. y = 1.518x + 0.995
Mathematics
2 answers:
zzz [9K]19 days ago
6 0
I appreciate you bringing your question here. I trust this answer will be beneficial to you. Don't hesitate to inquire further.

To find the length, in centimeters, of a "typical" rectangle based on a specified width in centimeters, Darius could utilize the equation <span>y=1.518x+0.995</span>
PIT_PIT [9.1K]19 days ago
5 0

Answer:

Choice A

Detailed explanation:

Darius is investigating how mathematics relates to art. He has asked his friends to draw a "typical" rectangle, where the width is represented by x, and the length by y.

x y

6.1 12

5 8.1

9.1 15.2

6.5 10.2

7.4 11.3

10.9 17.5

Slope 0.605311851

Y-Intercept 0.004221583

The regression formula can therefore be expressed as

y = 0.605x + 0.004

Thus, Option A is the correct choice.

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1.62 was multiplied by a power of ten to get 16.2. What power of ten was it multiplied by?
zzz [9066]
10 raised to the first power,
so indeed.
8 0
25 days ago
Pepita and francisco each spend a equal amount of time on homework. The table shows the fraction of time they spend on each subj
Zina [9157]

Answer:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Step-by-step explanation:

Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Pepita dedicated

\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{2\cdot 2+1\cdot 1}{6}=\dfrac{5}{6}

to English and Science.

Thus, she utilized

1-\dfrac{5}{6}=\dfrac{6}{6}-\dfrac{5}{6}=\dfrac{1}{6}

for Math.

On the other hand, Francisco spent

\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\cdot 4+3\cdot 1}{8}=\dfrac{7}{8}

on Math and Science, resulting in him spending

1-\dfrac{7}{8}=\dfrac{8}{8}-\dfrac{7}{8}=\dfrac{1}{8}

on English.

The table displays:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

5 0
16 days ago
The yearly cost in dollars, y, at a video game arcade based on total game tokens purchased, x, is y = y equals StartFraction 1 O
Zina [9157]

Answer:

The slope for members is half as steep when compared to the slope for non-members. Both graphs cross at 600 tokens and $120. Prior to this intersection, non-members have lower costs than members. Beyond the 600 tokens mark, members will incur lower costs than non-members.

Step-by-step explanation:

Here are the equations as I understand them:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

6 0
1 month ago
Read 2 more answers
A species of horned beetle has a (starting) population size of 4000 individuals. Every month, 170 individuals are born. However,
babunello [8402]

Answer:

Please refer to the explanation

Step-by-step explanation:

Provided parameters:

Initial population = 4000

Monthly increase = 170

Monthly decline in population = 70

Monthly growth rate in population (dt):

Starting population = 4000

Births per month = 170

However, there is a loss of 70 individuals monthly

Thus,

Births - Deaths (d) = 70

170 - d = - 70 (is there a decline?

170 + 70 = d

d equals the number of deaths

Per capita death rate:

Total deaths monthly / Initial population

= 240 / 4000

= 0.06

8 0
11 days ago
A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.
babunello [8402]

Answer:

347.3 cubic units

Step-by-step explanation:

To calculate the volume of the empty space, we derive the total volume of the two shapes and subtract the volume of the sphere from that of the cube.

The volume of a cube is calculated as l^3.

Here, the length is given as 9, so we compute 9x9x9, resulting in 729 cubic units.

The formula for the volume of a sphere is 4/3 pi r^3.

The radius is 4.5 (half of the diameter), thus:

4/3*91.125 pi

which becomes 121.5 pi = 381.7 (to one decimal place).

Subtracting these gives us 729-381.7 = 347.3.

The volume of the empty space equals 347.3 cubic units.

The comprehensive expression in reference to the given d:

Volume of empty space = d^3 - 4/3 pi (d/2)^3

I hope this was helpful!

3 0
28 days ago
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