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2 years ago

If w = the weight of a trout, which algebraic expression represents the phrase below? twice the weight of the trout

Mathematics

1 answer:

Anarel [89]2 years ago

4 0

Answer:2w

Step-by-step explanation:

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Answer the question below about line 1 and line 2 shown below

aleksklad [387]

Step-by-step explanation:

commutative property of multiplication

3 * 5 means 5 + 5 + 5 which equals 15.

5 * 3 means 3 + 3 + 3 + 3 + 3 which equals 15.

6 0

2 years ago

A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago

The x3 was supposed to be an exponent not 3x

mote1985 [20]

Answer:

The value of x is $2\sqrt[3]{2}$

Step-by-step explanation:

We are given $2+x^3=18$

We need to solve for x

First we subtract 2 both sides

$x^3=18-2=16$

Taking cube roots both sides to isolate x

$x=\sqrt[3]{16}$

Simplify the radical

$x=2\sqrt[3]{2}$

Thus, The value of x is $2\sqrt[3]{2}$

8 0

3 years ago

Solve for x. <br><br> a²x+(a-8)=(a+8)x

Sergio [31]

$a^2x+(a-8)=(a+8)x\\\\(a+8)x=a^2x+(a-8)\ \ \ \ |subtract\ a^2x\ from\ both\ sides\\\\(a+8)x-a^2x=a-8\\\\(a+8-a^2)x=a-8\ \ \ \ |divide\ both\ sides\ by\ (a+8-a^2)\\\\\huge\boxed{x=\frac{a-8}{a+8-a^2}}\to\huge\boxed{x=\frac{8-x}{a^2-a-8}}$

6 0

2 years ago

Read 2 more answers

Jessica earned $16 mowing a neighbor's yard. She bought a craft kit for $7.37. She used $3.75 to buy food for a food drive. She

iogann1982 [59]

Answer:

$4.88

Step-by-step explanation:

Jessica made $16 mowing a neighbors yard

She brought a craft kit for $7.37

16-7.37

= 8.63

She used $3.75 to buy food for a food drive

8.63-3.75

= 4.88

Hence the amount Jessica put in the savings account is $4.88

4 0

2 years ago

Read 2 more answers