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2 years ago

Which expression is NOT equivalent to the other three?

2 answers:

5 0

<span>A) 2x − 2.5 + 3x − 3
2x - 5.5 + 3x
5x - 5.5

B) 5(x − 1.1)
5x - 5.5

C) 5(x − 5.5)
5x - 27.5

D) 5x − 5.5

The answer is C

If you're confused how I got my answers, let me know.

</span>

pychu [463]2 years ago

3 0

Answer:

I believe its C

Step-by-step explanation:

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The open intervals on which f is concave upward. (enter your answer using interval notation.

N76 [4]

Khan academy has a lot on this sorry I couldn't answer bro

6 0

3 years ago

H varies directly as L. If H=20 when L=50, determine H when L=30

vichka [17]

The correct answer is 12

Set up a ratio and then solve. See paper attached. (:

4 0

3 years ago

Find the reciprocal of 1 1/6

Lisa [10]

Answer:

So the reciprocal of 6 is 1/6 because 6 = 6/1 and 1/6 is the inverse of 6/1.

Step-by-step explanation:

4 0

2 years ago

Use the method of reduction of order to find a second solution to t^2y' + 3ty' – 3y = 0, t> 0 Given yı(t) = t y2(t) = Preview

Anestetic [448]

Let $y_2(t)=tv(t)$ . Then

${y_2}'=tv'+v$

${y_2}''=tv''+2v'$

and substituting these into the ODE gives

$t^2(tv''+2v')+3t(tv'+v)-3tv=0$

$t^3v''+5t^2v'=0$

$tv''+5v'=0$

Let $u(t)=v'(t)$ , so that $u'(t)=v''(t)$ . Then the ODE is linear in $u$ , with

$tu'+5u=0$

Multiply both sides by $t^4$ , so that the left side can be condensed as the derivative of a product:

$t^5u'+5t^4u=(t^5u)'=0$

Integrating both sides and solving for $u(t)$ gives

$t^5u=C\implies u=Ct^{-5}$

Integrate again to solve for $v(t)$ :

$v=C_1t^{-6}+C_2$

and finally, solve for $y_2(t)$ by multiplying both sides by $t$ :

$tv=y_2=C_1t^{-5}+C_2t$

$y_1(t)=t$ already accounts for the $t$ term in this solution, so the other independent solution is $y_2(t)=t^{-5}$ .

6 0

3 years ago

Construction paper cost $0.10 per square inch. How much will Susan spend to make this figure out of construction paper?

AfilCa [17]

The will spend $33.60 (option C) to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

Step-by-step explanation:

The given is,

Construction paper cost $0.10 per square inch

Pyramid diagram with dimensions

Step:1

Formula to calculate the area of pyramid,

$Area, A = lw+l\sqrt{(\frac{w}{2}) ^{2} + h^{2} } +w \sqrt {(\frac {l} {2}) ^{2} + h^{2} }$ ..............(1)

Where,

l - Base length

w - Base width

h - Height of pyramid

From given,

l = 12 inches

w = 12 inches

For height of pyramid,

By using Pythagorean theorem,

$Hypotenuse^{2} = Base^{2} + Height ^{2}$ .................(2)

For right angle triangle,

Base = $\frac{12}{2}$ = 6 inches

Equation (2) becomes,

$8^{2} = 6^{2} + Height^{2}$

$Height^{2} = 8^{2} - 6^{2}$

$Height^{2} = 64 -36 = 28$

$Height = \sqrt{28}$

Height = 5.2915 inches

h - 5.2915 inches

Equation (1) becomes,

$A = (12)(12)+(12)\sqrt{(\frac{12}{2}) ^{2} + 5.2915^{2} } +(12 )\sqrt {(\frac {12} {2}) ^{2} + 5.2915^{2} }$

$= 144+(12)\sqrt{(36+27.999)} +(12)\sqrt{(36 + 27.999)}$

$= 144+(12)\sqrt{63.999}+(12)\sqrt{63.999}$

$= 144+(12)(7.9999)+(12)(7.9999)$

$=144+95.999+95.999$

$=335.998$

≅ 336 square inches

Where,

$0.10 per square inch ( from given)

Paper cost of total figure = 336 square inches

= 336 × 0.10

= $ 33.60

Result:

The will spend $33.60 to make the figure out of construction paper, if the construction paper cost $0.10 per square inch.

8 0

2 years ago