This is the concept of application of geometry and financial mathematics; To calculate for the total cost of the carpet we proceed as follows;
Total cost=[area of the carpet]*[price per square yard]
area of carpet is given by:
Area=πr^2
where;
radius,r=6 yeards
=π*6^2
=113.1 square yards
therefore the price of the carpet will be:
113.1*14
=$1,583.4
Answer: C. 13 + 8x = 45
Step-by-step explanation:
She already has 13 dollars. This would be the b-value in the equation, thus eliminating options A and B because those two feature 13 as the m value.
She earns $8 per hour. Let x = number of hours walking dogs.
Since 8 is the slope, it would be attached to x, thus either C or D would be the correct response
Since Grace is adding 8 dollars per hour, not subtracting, D is incorrect, leaving C to be the correct answer.
(a) By the fundamental theorem of calculus,
<em>v(t)</em> = <em>v(0)</em> + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
The particle starts at rest, so <em>v(0)</em> = 0. Computing the integral gives
<em>v(t)</em> = [2/3 <em>u</em> ³ + 2<em>u</em> ²]₀ᵗ = 2/3 <em>t</em> ³ + 2<em>t</em> ²
(b) Use the FTC again, but this time you want the distance, which means you need to integrate the <u>speed</u> of the particle, i.e. the absolute value of <em>v(t)</em>. Fortunately, for <em>t</em> ≥ 0, we have <em>v(t)</em> ≥ 0 and |<em>v(t)</em> | = <em>v(t)</em>, so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of
∫₀⁸ <em>v(u)</em> d<em>u</em> = ∫₀⁸ (2/3 <em>u</em> ³ + 2<em>u</em> ²) d<em>u</em> = [1/6 <em>u</em> ⁴ + 2/3 <em>u</em> ³]₀⁸ = 1024
Answer:
x = 7
y = 3/2 or 1.5 (IF THE ANGLE IS 30 BY THE RATIOS OF A RIGHT TRIANGLE.)
hope it's right
Step-by-step explanation:
FOR X:
Let's solve your equation step-by-step.
4x+3=31
Step 1: Subtract 3 from both sides.
4x+3−3=31−3
4x=28
Step 2: Divide both sides by 4.
4x/4=28/4
x=7
FOR Y:
Step 1: Simplify both sides of the equation.
(3)(7)+6y=30
21+6y=30
6y+21=30
Step 2: Subtract 21 from both sides.
6y+21−21=30−21
6y=9
Step 3: Divide both sides by 6.
6y/6=9/6
y=3/2
Yes, because the probability of choosing an odd number is equal...
