GIVING BRAINIEST! please please please help !

Bezzdna [24]

SOLUTION:

Total number of spinning = 250 times

Number 5 coming up = 20 times

The experimental probability of spinning a 5;

$\frac{Number\text{ of times 5 came up}}{\text{Total number of spinning}}\text{ = }\frac{20}{250}\text{ = }\frac{2}{25}\text{ or 0.08}$

7 0

2 years ago

1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3

Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

$\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}$

or

$\frac{dy}{dt}$ = $3x^2\frac{dx}{dt}+2\frac{dx}{dt}$

at $\frac{dx}{dt}=5$ and x = 2

$\frac{dy}{dt}$ = $3(2)^2\times(5)+2\times(5)$

or

$\frac{dy}{dt}$ = 60 + 10 = 70

2) A = πr² ft²

$\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}$

or

$\frac{dA}{dr}$ = 2(πr)

at r = 5 ft

$\frac{dA}{dr}$ = 2(π × 5) ft²/ft

or

$\frac{dA}{dr}$ = 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H² .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

or

B² + P² = 25² ...........(1)

at B = 20 ft

20² + P² = 25²

or

P² = 625 - 400

or

P = √225

or

P = 15 ft

differentiating (1) with respect to time, we get

$2B\frac{dB}{dt}+2P\frac{dP}{dt}=0$

at B = 20 ft, $\frac{dB}{dt} = 0.18$ and P = 15 ft

⇒ 2(20)(0.18) + $2(15)\frac{dP}{dt}$ = 0

or

$30\frac{dP}{dt}$ = - 7.2

or

$\frac{dP}{dt}$ = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0

4 years ago

The function y = 4x² + 9x-2 has______at the vertex. A:minimum B:Maximum

Sveta_85 [38]

Answer:

A. Minimum

Step-by-step explanation:

Given function:

y = 4x² + 9x - 2

This is a quadratic function with positive leading coefficient.

It means the graph of the function opens up and therefore it has minimum value of the function at the vertex.

Correct answer choice is A

6 0

2 years ago

What is truncate in math?

Pavel [41]

Limiting the number of digits right of the decimal point

3 0

3 years ago

Y’all can you help on this?

Vladimir [108]

It would be option b . i can help you out if you’re still awake lol lol ok i is just ok i love you too much bye love.

8 0

3 years ago