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serious [3.7K]
2 years ago
7

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co

lumn table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. Which model best represents the data?
Mathematics
1 answer:
Nastasia [14]2 years ago
4 0

Answer:

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

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Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be plac
zmey [24]

Answer: Check the explanation for the solution.

Step-by-step explanation:

Given that the garden is a right triangle with base 25m start and height 30 m

The length of the hypothenus can be achieved by using pythagorean theorem.

Please find the attached file for the diagram.

I made a large unit for the sake of clarity.

5 0
2 years ago
Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
KatRina [158]

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

3 0
2 years ago
The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Kryger [21]
Let's say the first number is -a, so "a" will be some positive value, and we multiply -1 to it, we get the -a

a consecutive number from it, is either, ahead or before it, so, -a + 1 or -a -1, is a consecutive integer, hmm let's use -a + 1 then

so, the two numbers are -a and -a + 1

we know their product is 600

\bf (-a)(-a+1)=600\implies a^2-a=600
\\\\\\
\begin{array}{lcclll}
a^2&-a&-600=0\\
&\uparrow &\uparrow \\
&-25+24&-25\cdot 24
\end{array} \implies (a-25)(a+24)=0
\\\\\\

\begin{cases}
a-25=0\implies &\boxed{a=25}\\
a+24=0\implies &a=-24
\end{cases}

we use the positive one, because we're using -1 in front of the "a"

what's the lesser integer? well, what's  -a+1?  which one is lesser?
7 0
2 years ago
Read 2 more answers
The equation d = can be used to calculate the density, d, of an object with mass, m, and volume, V. Which is an equivalent equat
Kamila [148]
Since:
Density=Mass/Volume
Mass=Volume*Density
Therefore, Volume=Mass/Density
4 0
2 years ago
Read 2 more answers
Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once eve
Alexxandr [17]

Answer:

speed = 796142.197 km/hr

Step-by-step explanation:

solution

we consider here orbit around galactic center is circular so

circumference formula will be here

circumference C = 2πr   ........1

here we know r = 27000

so

circumference C = 2 π × 27000

C = 169560 light year

so

we travel 169560 light year in 230000000 years

so distance will be

distance = \frac{169560}{230000000}

distance = 0.00073721 light year/year

and we know 1 year = 8760 hours

so 1 light year = 9.46027 ×10^{12} km

so

sped of moving is

speed = 0.00073721 × 9.46027 × \frac{10^{12}}{8760}  km/hr

speed = 796142.197 km/hr

5 0
2 years ago
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