Answer:
they all go up in even numbers
Step-by-step explanation:
First solve for one variable
(I chose bottom equation because it’s easier)
Get y alone: Y = 5x
Now that we have y we can plug y into the top equation
Plug in 5x for y: 2x + 5x = 7
Solve for x: 7x = 7
X = 1
Now plug in the x value into the bottom equation to solve for y
Y = 5(1)
Y= 5
So, x = 1 and y = 5
The volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.
<h3>
Volume of a sphere</h3>
Given:
dr/dt=100 ft/sec
When: t=4 seconds, radius(r)=400ft
Hence:
Volume of a sphere (V)=4/3πr³
dv/dt=4/3π.3r² dr/dt
dv/dt=4πr²dt/dr
When t=4 seconds
dv/dt=4π×(100×4)²×100 cubic ft/sec
dv/dt=4π×(400)²×100 cubic ft/sec
dv/dt=64000000π cubic ft/sec
Therefore the volume within the spherical compression wave increasing in t = 4 seconds is:64000000π cubic ft/sec.
Learn more about Volume of a sphere here:brainly.com/question/22807400
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Answer:
x=6
Step-by-step explanation:
Simplifying
3(2x + -8) = 12
Reorder the terms:
3(-8 + 2x) = 12
(-8 * 3 + 2x * 3) = 12
(-24 + 6x) = 12
Solving
-24 + 6x = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 6x = 12 + 24
Combine like terms: -24 + 24 = 0
0 + 6x = 12 + 24
6x = 12 + 24
Combine like terms: 12 + 24 = 36
6x = 36
Divide each side by '6'.
x = 6
Simplifying
x = 6
Answer:
C. 2.937
Step-by-step explanation:
Given the following :
H0 : p = 0.25
H1 : p > 0.25
Number of observations (n) = 647
p' = 30% = 0.3
SD = sqrt[(p(1 - p) / n)]
1 - p = 1 - 0.25 = 0.75
SD = sqrt[(0.25 * 0.75) / 647]
SD = sqrt[0.0002897]
SD = 0.0170234
Z = (p' - p) / SD
Z = (0.3 - 0.25) / 0.0170234
Z = 0.05 / 0.0170234
Z = 2.9371187 = 2.937
