2x + 3v= 13<br> 4x-V= -2<br> Solve the simultaneous equations

What measures of a cylinder can be determined when given the volume and the height? Describe how to find the measure.

Maru [420]

Answer:youywould be able to find the base.

Step-by-step explanation:

Formula for Volume of a cylinder is : V=Bh

8 0

3 years ago

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The function a(t)=t^(1/2)−t^(−1/2) m/s^2 represents the acceleration of a particle moving along a horizontal axis. At time t=0,

garri49 [273]

Answer:

see below

Step-by-step explanation:

a(t)=t^(1/2)−t^(−1/2)

We integrate to find the velocity

v(t) = integral t^(1/2)−t^(−1/2) dt

= t ^ (1/2 +1) t ^ (-1/2 +1)

------------ - ----------------- + c where c is the constant of integration

3/2 1/2

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +c

We find c by letting t=0 since we know the velocity is 4/3 when t=0

v(0) = 2/3 0^ 3/2 - 2 0^ 1/2 +c = 4/3

0+c =4/3

c = 4/3

v(t) = 2/3 t^ 3/2 - 2 t^ 1/2 +4/3

To find the position function we need to integrate the velocity

p(t) = integral 2/3 t^ 3/2 - 2 t^ 1/2 +4/3 dt

2/3 t ^ (3/2 +1) 2 t ^ (1/2 +1) 4/3t

------------ - ----------------- + ------------- + c

5/2 3/2 1

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t +c

We find c by letting t=0 since we know the position is -4/15 when t=0

p(0) = 4/15 0^ 5/2 - 4/3 0 ^ 3/2 + 4/3*0 +c = -4/15

0 +c = -4/15

c = -4/15

p(t) = 4/15 t^ 5/2 - 4/3t ^ 3/2 + 4/3t -4/15

8 0

3 years ago

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What the answer.....

Sliva [168]

Your right, the answer is pig:snort, because it is saying what sound the pig makes, just like snake:hiss is saying what sound the snake makes.

6 0

3 years ago

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After Myong's cylindrical birthday cake was sliced, she received the slice at right. If her birthday cake originally

Talja [164]

Answer:

97.53 in³

Step-by-step explanation:

The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.

The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.

The volume of the full cake = πr²h = π(7²)6 = 924 in³

Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:

Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³

Volume of her slice = 97.53 in³

7 0

3 years ago

Solve the equation 3^(2x) -4*3^(x+1) + 27 = 0. use rules of exponents to change 3^(x+1)

Leviafan [203]

Answer:

$\huge\boxed{x=1\ \vee\ x=2}$

Step-by-step explanation:

$3^{2x}-4\cdot3^{x+1}+27=0\\\\\text{use}\ (a^n)^m=a^{nm}\ \text{and}\ a^n\cdot a^m=a^{n+m}\\\\\left(3^x\right)^2-4\cdot3^x\cdot3^1+27=0\\\\\left(3^x\right)^2-12\cdot3^x+27=0\\\\\text{substitute}\ 3^x=t>0\\\\t^2-12t+27=0\\\\t^2-3t-9t+27=0\\\\t(t-3)-9(t-3)=0\\\\(t-3)(t-9)+0\iff t-3=0\ \vee\ t-9=0\\\\t-3=0\qquad\text{add 3 to both sides}\\\boxed{t=3}\\\\t-9=0\qquad\text{add 9 to both sides}\\\boxed{t=9}$

$\text{We return to substitution:}\\\\3^x=t\\\\3^x=3\ \vee\ 3^x=9\\\\3^x=3^1\ \vee\ 3^x=3^2\\\\\boxed{x=1}\ \vee\ \boxed{x=2}$

4 0

2 years ago

2x + 3v= 13 4x-V= -2 Solve the simultaneous equations