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2 years ago

11

The graph shows the distance a ball has traveled x seconds after it was thrown what is the average speed between 2 seconds and 8

seconds

1 answer:

docker41 [41]2 years ago

5 0

Answer:

0.5

Step-by-step explanation:

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Which table represents a direct variation function?

Anika [276]

The third table
Explanation:
6/4 = 1.5 , 9/6 = 1.5 , 12/8 = 1.5

3 0

2 years ago

Production of passenger cars in Japan increased from 3.94 million in 1999 to 6.74 million in 2009. What is the geometric mean an

vovangra [49]

Let's assume initial population is in 1999

so, production of passenger cars in Japan is 3.94 million in 1999

so, P=3.94 million

and the production of passenger cars in Japan is 6.74 million in 2009

so, A=6.74 million in t=2009-1999=10 years

now, we can use formula

$A=P(1+r)^t$

here , r is interest rate

so, we can plug values

$6.74=3.94(1+r)^{10}$

now, we can solve for

$\left(1+r\right)^{10}=\frac{337}{197}$

$r=0.05516$

so,

the geometric mean annual percent increase is 5.516%............Answer

7 0

1 year ago

What is the horizontal asymptote of f (x) =StartFraction negative 2 x Over x + 1 EndFraction? y = –2 y = –1 y = 0 y = 1

miv72 [106K]

Answer:

y = -2

Step-by-step explanation:

Any asymptotes of a rational function will be described by the quotient of the numerator and denominator (excluding any remainder).

$f(x)=\dfrac{-2x}{x+1}=-2+\dfrac{2}{x+1}$

The horizontal asymptote is ...

y = -2

8 0

2 years ago

Read 2 more answers

Find the dimensions of the box with volume 1728 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box

Gala2k [10]

Answer:

The dimensions of the box are 12 cm , 12 cm , 12 cm

Step-by-step explanation:

Let x , y and z be the dimensions of box

Volume of box =xyz=1728

$z=\frac{1728}{xy}$

Surface area of box = $2xy+2yz+2xz=2xy+2y(\frac{1728}{xy})+2x(\frac{1728}{xy})$

Let $f(x,y)=2xy+2(\frac{1728}{x})+2(\frac{1728}{y})$

To get minimal surface area

$\frac{\partial f}{\partial x}=0$ and $\frac{\partial f}{\partial y}=0$

$\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial x}=0$

$2y-2(\frac{1728}{x^2})=0$

$y=\frac{1728}{x^2}$ ----1

$\frac{\partial(2xy+2(\frac{1728}{x})+2(\frac{1728}{y}))}{\partial y}=0$

$2x-2(\frac{1728}{y^2})=0\\x=\frac{1728}{y^2} \\y^2=\frac{1728}{x}$

Using 1

$(\frac{1728}{x^2} )^2=\frac{1728}{x}$

x=0 and $x^3=1728$

Side can never be 0

So, $x^3=1728$

x=12

$y=\frac{1728}{x^2} \\y=\frac{1728}{12^2}$

y=12

$z=\frac{1728}{xy}\\z=\frac{1728}{(12)(12)}$

z=12

The dimensions of the box are 12 cm , 12 cm , 12 cm

5 0

2 years ago

A store gets a bucket of eggs for $16.20 and sells a dozen eggs for $3.50. If there are 450 eggs in the bucket, by what percent

Murljashka [212]

Answer:

710%

Step-by-step explanation:

Find each unit price.

16.20 $/bucket × (1 bucket / 450 eggs) = 0.036 $/egg

3.50 $/dozen × (1 dozen / 12 eggs) = 0.292 $/egg

The percent markup is:

(0.292 − 0.036) / 0.036 × 100% ≈ 710%

The store marks up the price by approximately 710%.

3 0

2 years ago