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3 years ago

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Mathematics

1 answer:

marysya [2.9K]3 years ago

8 0

Answer:

option 2: y - 5x + 3

Step-by-step explanation:

you would first distribute the 10 and then divide the entire left side by 2

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stich3 [128]

Answer:

7.0 m/s

Step-by-step explanation:

We can solve this using the 2 kinematic equations and you can use either:

$Vf=Vi+at\\\\vf^{2}=vi^{2}+2ad$

So let's use the first one.

Vi = initial velocity

Vf = final velocity

a = acceleration due to gravity (constant 9.8m/s²)

t = time

The marble is dropped so this means that it is in free fall. The initial velocity is always 0m/s.

We are given then the following:

d = 2.5m

t = 0.71s

Vi = 0 m/s

a = 9.8m/s²

So we plug in the values we know and solve:

$Vf = Vi + at\\\\Vf = 0 m/s + (9.8m/s^{2})(0.71s)\\Vf = 6.958m/s \cong 7.0m/s$

7 0

3 years ago

Evaluate the expression <br><br> 64 (15-1x2-9

SVETLANKA909090 [29]

Answer:

256

Step-by-step explanation:

64(15-1x2-9)

64(15-2-9)

64 x 4

256

3 0

3 years ago

Average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

11111nata11111 [884]

The average rate of change is the slope of the secant line connecting the points on f(x) from x=-5 to x=10.

In other words, it is just the slope of the straight line connecting the points
$(-5,f(-5)) \: and \: (10,f(10))$

So we were given ,

$f(x) = {x}^{2} - 3x - 10$

At
$x = - 5$
$f( - 5) = {( -5 )}^{2} - 3( - 5) - 10$
$f( - 5) = 25 + 15- 10$
$f( - 5) = 30$

Also at
$x = 10$
$f( 10) = {( 10)}^{2} - 3( 10) - 10.$
$f( 10) = 100- 30 - 10$
$f( 10) = 60$

The average rate of change
$= \frac{f(10) - f( - 5)}{10 - - 5}$
$= \frac{60- 30}{15}$
$= \frac{30}{15}$
$= 2$

3 0

3 years ago

Find the height of a cone shaped room with a diameter of 144 ft and a volume of 81430.1 cubic ft.

julia-pushkina [17]

Answer:

The height is 15 feet

Step-by-step explanation:

If you use the formula for cone height and substitute in your values:

h=3 x (V/πr^2)

h=3 x (81430.1/72^2π)

h=15

7 0

4 years ago

Questions on Venn diagram

Aleksandr-060686 [28]

Answer:

Ur question?

Step-by-step explanation:

6 0

3 years ago

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