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The estimated number of lines of code written by computer programmers per hour when x people are working & the correct option is  y = 27x - 4.

Table  showing the estimated number of lines of code written by computer programmers per hour when x people are working & option given   y= 47 * 1.191ˣ     y= 34 * 1.204ˣ    y=26.9x - 1.3    y = 27x - 4

To Choose the model which best represents the data.

To understand a set of data, it is helpful to organize it and provide summary descriptions of the set.

People Working   lines of code

2                             50

4                             110

6                            160

8                            210

10                           270

12                           320

x      y= 47 * 1.191ˣ    y= 34 * 1.204ˣ    y=26.9x - 1.3   y = 27x - 4

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.

Below    2              0                         4                        1

on line    0              0                         0                       2  

Above     4               6                         2                       3

Therefore  y = 27x - 4 is the best fit

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Answer:

y = 27x - 4

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Step-by-step explanation:

Answer:

Use the slider to change the value of k.

Positive values of k shift the graph ✔ up.

Negative values of k shift the graph ✔ down

Step-by-step explanation:

Transformation involves changing the position of a function.

The true statements are:

Positive values of k shift the graph up

Negative values of k shift the graph down

The functions are given as:

The equation of g(x) implies that, f(x) is translated or shifted vertically.

The possible values of k are:

k is greater than 0 i.e. positive

k is less than 0 i.e. negative

When k is positive, then the graph of the function shifts up

If otherwise (i.e. k is negative), then the graph of function shifts down

Changing the value of k in the function g(x) = |x| + k affects the graph by shifting it vertically.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Horizontal translation: g(x)=f(x+c).

The graph is translated as c units to the left if c>0 and c units to the right if c<0.

Vertical translation: g(x)=f(x)+k.

The graph is translated as k units upward if k>0 and k units downward if k<0.

When k is positive, the graph of g(x) is shifted upward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be greater than f(x) by k units, due to the addition of k to the absolute value of x.

Conversely, when k is negative, the graph of g(x) is shifted downward by k units compared to the graph of f(x). This is because, for any value of x, g(x) will be less than f(x) by k units, due to the subtraction of k from the absolute value of x.

Therefore, changing the value of k in g(x) = |x| + k shifts the graph vertically, either upward or downward, depending on the sign of k.

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The shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The functions f(x) = x² – 3 and g(x) = –x² + 2 are shown on the graph.

Now for the point (0, 0). Then we have

0 ≤ 0² – 3

0 ≤ – 3

which is false

Then the region is opposite to the origin.

Similarly, we have

0 > 0² + 2

0 > 2

which is false

Then the region is opposite to the origin.

Thus, the shaded region is the solution of the given functions f(x) = x² – 3 and g(x) = –x² + 2.

The graph is shown below.

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Answer:

Triangle C :)

Step-by-step explanation:

On the chart, it shows us that triangle c has the largest base at 5 units long :)

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[tex]\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)[/tex]

Answer:

1.07142857143 (1 rounded)

Step-by-step explanation:

3/14 of 5 is 1.07142857143

Answer:

  3.9 cm²

Step-by-step explanation:

The area formula for a triangle when sides 'a' and 'b' and angle C are known is ...

  A = 1/2ab·sin(C)

__

The area of the specified triangle is ...

  A = 1/2(3.9 cm)(2.7 cm)sin(133°) ≈ 3.85058 cm²

The area of ΔLMN is about 3.9 square centimeters.

Answer:

1) 27

2) 63

Step-by-step explanation:

cos-1(17/38)= 63.425...= 63= angle C

90-63= 27=angle A

The pie chart of the number of text messages sent by the students represents the stem plot using a circle graph

The stem plot is given as:

0 | 37

1  | 0011223445 77 88 89

2 | 013557

From the above stem plot, we have the following frequency table

SMS        Frequency

0 - 9         2

10 - 19      16

20 - 29    6

Total       24

Next, we determine the relative frequency table

SMS        Frequency    Relative Frequency

0 - 9         2                           2/24 = 8.33%

10 - 19      16                          16/24 = 66.67%

20 - 29    6                            6/24 = 25.0%

Total       24                            100%

Next, we plot the pie chart

See attachment for the pie chart

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[tex]2(3y + 7 + 5) = 180\\\\ \implies 3y+12=\dfrac{180}2 \\ \\ \implies 3y+12 = 90\\\\\implies 3y = 90-12\\\\\implies 3y = 78\\\\\implies y= \dfrac{78}3 \\\\\implies y=26[/tex]

Answer:

y = 26

Step-by-step explanation:

2(3y + 7 + 5) = 180

6y + 14 + 10 = 180

6y + 24 = 180

      -24    -24

6y = 156

÷6     ÷6

y = 26

I hope this helps!

Answer:

Center: (-7,6)

Radius: 4

Step-by-step explanation:

Hope this helps :)

between 30 and 50 is approximately 40

Answer:

Hope it helps.....................

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

Answer:

Graph the parabola y=x2−7x+2 .

Compare the equation with y=ax2+bx+c to find the values of a , b , and c .

Here, a=1,b=−7 and c=2 .

Use the values of the coefficients to write the equation of axis of symmetry .

The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .

Substitute x=72 in the equation to find the y -coordinate of the vertex.

y=(72)2−7(72)+2    =494−492+2    =49 − 98 + 84     =−414

Therefore, the coordinates of the vertex are (72,−414) .

Now, substitute a few more x -values in the equation to get the corresponding y -values.

x y=x2−7x+2

0 2

1 −4

2 −8

3 −10

5 −8

7 2

Plot the points and join them to get the parabola.

Answer:

Acute

Step-by-step explanation:

Hope it helps you in your learning process.

Hello there.

What type of triangle is defined by the following set of side lengths

10, 9, 5

Answer:

Acute

Step-by-step explanation:

The triangle perimeter is the sum of the lengths of its three sides.

[tex]p=a+b+c=10+9+5=24[/tex]

The semiperimeter of the triangle is half its perimeter. The semiperimeter appears in formulas for triangles to be given a separate name. the triangle inequality, the longest side length of a triangle is less than the semi perimeter.

[tex]s=\frac{p}{2} =\frac{24}{2} =12[/tex]

using Heron's formula

Heron's formula gives the area of a triangle when the length of all three sides is known.

[tex]T=\sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]T=\sqrt{12(12-10)(12-9)(12-5)}[/tex]

[tex]T=\sqrt{504}=22.45[/tex]

There you go :) I even calculated it for you.

Hope this helps!

If you have any questions please ask.

(1) A  quadratic equation that models the path of the golf ball, is 16.0850t² - 110.560t - 190 = 0.

(2) The angle the ball takes off is 64.4⁰.

The equation that models the motion of the gofl ball is calculated as follows;

Vf² = V₀² - 2gh

at maximum height, Vf = 0

V₀² = 2gh

V₀ = √2gh

V₀ = √(2 x 32.17 x 190)

V₀ = 110.56 ft/s

h = V₀t - ¹/₂gt²

-190 = 110.56t  - ¹/₂(32.17)t²

-190 = 110.56t - 16.0850t²

16.0850t² - 110.560t - 190 = 0

440 = Vxt

Vx = 440/t

The time of motion, t is determined as follows;

16.0850t² - 110.560t + 190 = 0

a = 16.0850, b = -110.560, c = 190, solve using formula method

t = 8.3 s

Vx = 440 /8.3

Vx = 53.01 ft/s

tan θ = (Vy) / (Vx)

tan θ = (110.56)/(53.01)

tan θ = 2.086

θ = tan⁻¹(2.086)

θ = 64.4⁰

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Answer:

2/6th or 1/3rd of the pie

Step-by-step explanation:

Subtract 2/6 from 2/3:  convert 2/3 to 4/6.  Then 4/6 less 2/6 is 2/6.

Matt ate 2/6th, or 1/3rd, more pie than did his mother.

the answer is around 1.73, so its a little over the 1.5 mark. also, im not sure if this is what you meant, but the phrase is radical 3, or the square root of 3 :)

its the blue line!!!!

The weight of each of the two piles Tineka split the jellybeans in the sack to is 7/24 lb.

Division is when two numbers are grouped into equal parts using another number. The sign used to denote division is ÷.

In order to determine the weight of each pile, divide the weight of the sack by 2.

Weight of each sack = 7/12 ÷ 2

7/12 x 1/2 = 7/24

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Answer:

1/9

Step-by-step explanation:

look up mixed numbers calculator soup , it helps you <3

Answer:

1 37/50

Step-by-step explanation:

4/5÷7/15 =

1.74 =

1 74/100 =

1 37/50

Answer:

C

Step-by-step explanation:

a and b add to 180 degrees also known as a straight line

Answer:

supplimentarry

Step-by-step explanation:

add up to be 180

Answer:

Option A :- V = 301.44

Step-by-step explanation:

Formula= V = (1/3)πr²h

Volume = 1/3 × 22/7 × 36 × 8

⇒ 301.44

Answer:

18

Step-by-step explanation:

If you x 12x6 the area would get you 72 you already used 6 and 12 you just times 6x3 and that gets 18. If this didnt help im sorry!

Answer:

[tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex]

Step-by-step explanation:

The equation for thr function f(x) is [tex]f(x)=\left(x-1\right)^{2}[/tex] . The vertex of this equation is located at (1,0). The vertex of function g(x) is located at (1,3) , meaning that the vertex of g(x) is 3 units higher than that of f(x). This can be represented in the equation using a vertical translation. The final equation for g(x) would be [tex]f\left(x\right)=\left(x-1\right)^{2}+3[/tex] .

Hope this helps! :)

The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.

His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Then the polynomial equation will be

(2x + y)(4y² – 2xy + y²)

More about the polynomial link is given below.

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Answer:

C

Step-by-step explanation:

2022