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3 years ago

What represent the relationship between the total mass of a crate

Mathematics

1 answer:

sineoko [7]3 years ago

5 0

9514 1404 393

Answer:

(a) M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

M = 0.25n +100

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A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an

slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Horizontal distance from the start line, measured in meters.

$y$ - Height of the long jumper, measured in meters.

$a$ , $b$ , $c$ - Polynomial constants, measured in $\frac{1}{m}$ , dimensionless and meters, respectively.

If we know that $(x_{1},y_{1}) = (3\,m, 0\,m)$ , $(x_{2},y_{2}) = (8\,m, 0.05\,m)$ and $(x_{3}, y_{3}) = (9\,m, 0\,m)$ , this system of linear equations is presented below:

$9\cdot a + 3\cdot b + c = 0$ (Eq. 1)

$81\cdot a + 9\cdot b + c = 0$ (Eq. 2)

$64\cdot a + 8\cdot b + c = 0.05$ (Eq. 3)

The coefficients of the polynomial are, respectively:

$a = -\frac{1}{100}$ , $b = \frac{3}{25}$ , $c = -\frac{27}{100}$

The equation of the parabola that models the path of the long jumper through the air is $y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}$ .

But we need $y$ measured in centimeters, then, we use the following conversion:

$y = 100\cdot y'$

Then, we get that:

$y = -x^{2}+12\cdot x -27$

Where $x$ and $y$ are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is $y = -x^{2}+12\cdot x -27$ .

4 0

3 years ago

Sole for y k = p/2(y+w) y =

mojhsa [17]

Answer:

Answer: y = (2k -pw)/p

Step-by-step explanation:

$k = \frac{p}{2} (y + w)$

multiply 2 on both sides:

$k \times 2 = 2 \times \frac{p}{2} (y + w) \\ \\ 2k = p(y + w)$

open the bracket:

$2k = py + pw$

subtract pw from both sides:

$2k - pw = (py + pw) - pw \\ 2k - pw = py$

divide p on both sides:

$\frac{2k - pw}{p} = \frac{py}{p} \\ \\ y = \frac{2k - pw}{p}$

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3 years ago

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E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.

kozerog [31]

Answer:

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3 years ago

What is the y-int of the line given by the equation y=3x-11

cupoosta [38]

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3 years ago

Select True or False.

NISA [10]

the answer is false hopes this helps

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3 years ago

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