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igor_vitrenko [27]
3 years ago
5

Sandra buys 70 pencils with fuzzy tops. she gives 4 to each of her 15 classmates. The expression for the number of pencils she h

as left is 70 - (4x15)
In this expression, what does 70 represent?
Mathematics
1 answer:
AleksandrR [38]3 years ago
7 0

Answer:

70 pencils

Step-by-step explanation:

it says 70 pencils so 70 represents pencils

Hope this helps plz hit the crown :D

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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
What is the measure of angle ACB in this triangle
Mrrafil [7]
So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°

The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°
7 0
3 years ago
The product of 2 and the second power of y in algebraic expression
inysia [295]
<span>Algebraic expression of product of 2 and the second power of y
=> Algebraic expression is a combination of integers (numbers), variables (a, b, c, x, y, ….), exponent (2 5 3 …) that is a rational number and algebraic operations like subtraction (-), addition (+), multiplication (x) and division (/).
=> Product – result of multiplication
=> second power of y = y<span>2
</span>=> 2 x y<span>2

</span>Thus, the algebraic expression of product of 2 and the second power of y is equals to 2 x y2

</span>



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3 years ago
Please help mee Which graph shows a set of ordered pairs that represent a function?
Mekhanik [1.2K]

Answer:B

Step-by-step explanation:

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Company A charges $35 to rent a car, plus an additional $12.50 per day. Company B charges $20 to rent a car plus $20 per day At
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They would cost the same amount by day 2. day 1 for car a is $45.50. day 1 for car b is $40. day 2 for car a is $60. day 2 for car b is also $60.
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