Answer:
Step-by-step explanation:
48 is preimeter
96 is the area
Make me brainliest
Answer:
(a) 110 mm Hg
(b) 70 mm Hg
(c) 3/4 second
(d) see the attachment
Step-by-step explanation:
(a) The sine function has a maximum value of +1, so the maximum value of p is ...
pmax = 20·(+1) +90 = 20+90 = 110 . . . . . mm Hg
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(b) The sine function has a minimum value of -1, so the minimum value of p is ...
pmin = 20·(-1) +90 = -20+90 = 70 . . . . . mm Hg
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(c) The period of the sine function is 2π, so the value of t that makes the argument be 2π will be the period.
8π/3·t = 2π
t = 2π·3/(8π) = 3/4 . . . . . . multiply by the inverse of the coefficient of t
The period of her heartbeat cycle is 3/4 seconds.
__
(d) a graph is attached.
Let's solve your equation step-by-step.<span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>
<span />Step 1: Simplify both sides of the equation. <span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>
<span /><span>Simplify: (Show steps) </span><span><span><span><span><span>(4)</span><span>(x)</span></span>+<span><span>(4)</span><span>(1)</span></span></span>+8</span>=24</span> (Distribute)<span><span><span><span> 4x</span>+4</span>+8</span>=24</span><span><span><span>(<span>4x</span>)</span>+<span>(<span>4+8</span>)</span></span>=24</span>(Combine Like Terms)<span><span><span> 4x</span>+12</span>=24</span><span><span><span>4x</span>+12</span>=24</span>
<span />Step 2: Subtract 12 from both sides. <span><span><span><span>4x</span>+12</span>−12</span>=<span>24−12</span></span><span><span>4 x</span>=12</span>
<span />Step 3: Divide both sides by 4.<span><span><span><span><span>4x</span>4</span></span></span>=<span><span><span>124 </span></span></span></span><span>x=<span>3</span></span>
Answer:
The container can hold 18 gallons
Step-by-step explanation:
Assume the container can hold x gallons
∵ The container is
full with water
∵ It can hold x gallons
→ Multiply
by x to find the number of gallons in the container
∴ The number of gallons in the container =
x
∵ 4 gallons of water pouring out
∵ It is
full
→ Multiply
by x to find the number of gallons left in it
∴ The number of gallons left in the container =
x
→ The difference between the numbers of gallons is 4 gallons
∵
x -
x = 4
→ Subtract the terms of the left side
∴
x = 4
→ Multiply both sides by 9
∴ 2x = 36
→ Divide both sides by 18
∴ x = 18
∵ x represents the full of the container
∴ The container can hold 18 gallons