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3 years ago

Help pls i have 5 minss, no links

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

Answer:

3/25

Step-by-step explanation:

Leviafan [203]3 years ago

5 0

4/33 is the answer to your question.

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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

The supply and demand curves for a market are graft below with price in dollars and quantity in thousands. Which of the followin

lesya692 [45]

Answer:

B) A market equilibrium price less than $30

Step-by-step explanation:

When the supply curve increases, it shifts to the right, making the market equilibrium price lower because the oversupply of the quantity causes demand to drive down.

7 0

2 years ago

Arrange the steps in the correct order to express cos3x in terms of cosx cos(2x)cos(x)-sin(2x)(x) [1-sin^2(x)]cos(x)-[2sin(x)cos

noname [10]

cos(3x) = cos(2x+x)

= cos(2x) cos (x) -sin(2x)sin(x)

$=(1-2sin^2(x)) cos(x)-(2 sin(x) cos(x)) sin(x)$

$= cos x -2sin^2(x) cos(x) -2sin^2(x) cos(x)$

$= cos(x) - 4 sin^2(x) cos(x)$

$cos(x)(1-4sin^2(x))$

$=cos(x(1-4(1-cos^2(x))$

$=cos(x)(1-4+4cos^2(x))$

$= cos(x)-4cos(x)+4cos^3(x)$

$=-3cos(x)+4cos^3(x)$

4 0

3 years ago

Dexter drove 546 miles on one tank of gasoline. His car’s gas tank holds 15 gallons of gas. Find the average number of miles he

AlexFokin [52]

546 mil / 15 gal = about 36.4 mil per gal

4 0

3 years ago

a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was

soldier1979 [14.2K]

He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99

3 0

3 years ago

Read 2 more answers