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2 years ago

Please help me asap!

Mathematics

1 answer:

diamong [38]2 years ago

5 0

V= x*(10-2x)(8-2x)

for greatest volume, differentiate v w.r.t x and equate to 0,

dv/dx= (10-2x)(8-2x) + x(-2)(8-2x)+ x(10-2x)(-2)=0

you get x from solving the quadratic equation. volume will be max at that x

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What does -15x + 39 equal

Anna [14]

Answer: (‑(15*x))+39

Step-by-step explanation:

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2 years ago

− +  +   7 3 4 18 2 5

zimovet [89]

Answer:

$49 + 9 \times 4 + 18 \div 10 \\ 49 + 36 + 1.8 \\ 85 + 1.8 \\ 86.8$

3 0

1 year ago

Read 2 more answers

Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colony starts with 1 bacter

inn [45]

Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.

Step-by-step explanation:

Since we have given that

Number of bacteria initially = 1

It triples in number every 20 minutes.

So, $\dfrac{20}{60}=\dfrac{1}{3}$

So, our equation becomes

$y=y_0e^{\frac{1}{3}k}\\\\3=1e^{\frac{1}{3}k}\\\\\ln 3=\dfrac{1}{3}k\\\\k=\dfrac{1.099}{0.333}=3.3$

We need to find the number of bacteria that it will contain at the end of 24 hours.

So, it becomes,

$y=1e^{24\times 3.3}\\\\y=e^{79.1}\\\\y=2.25\times 10^{34}$

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.

3 0

2 years ago

One long-distance company offers a plan such that each minute costs $0.10 and each call has a $0.25 service

gladu [14]

Answer:

y=0.10(t)+0.25

27 minutes and 30 seconds

Step-by-step explanation:

We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.

If you talked for 5 minutes:

y=0.10(5)+0.25

y=0.50+0.25

y=0.75

75 Cents

For three dollars, you would plug in 3 for y

3.00=0.10(t)+0.25

-0.25 -0.25

2.75=0.10(t)

divide both sides by 0.10 to get

27.5=t

You can talk for 27 minutes and 30 seconds

27 minutes

Hope this helps :-)

3 0

3 years ago

-25/J = 5 16 + s = -90 13 + t = 51 r/10 = (-6) a + -12 =45

alexandr1967 [171]

we conclude that the solution for the given algebraic expressions are:

J = -5
s = -106
t = 38
r = -60
a = 57

<h3>How to solve these algebraic expressions?</h3>

Here we have some simple algebraic expressions:

The first one is:

-25/J = 5

We want to solve this for J.

Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.

(-25/J)*J = 5*J

-25 = 5*J

Now we can divide both sides by 5, so we isolate J:

(-25)/5 = (5*J)/5

-5 = J

We conclude that the solution is J = -5.

Now, similarly for the other equations we have that:

16 + s = -90

Here we subtract 16 in both sides:

s = -90 - 16 = -106

13 + t = 51

Here we subtract 13 in both sides:

t = 51 - 13 = 38

r/10 = (-6)

Here we multiply both sides by 10:

r = (-6)*10 = -60

a + (-12) = 45

Here we add 12 in both sides:

a = 45 + 12 = 57

Then we conclude that the solution for the given algebraic expressions are:

J = -5
s = -106
t = 38
r = -60
a = 57

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

6 0

1 year ago