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2 years ago

Help please?????????

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

6x+4 (H)
.........................

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If f(x)=2x^3+5√(x-2) complete the following statement, f(6)=

solong [7]

Answer: 442

Step-by-step explanation:

$f(x)=2x^3+5\sqrt{(x-2)}$

$f(6)$

Simply replace all the x's in the equation for 6

$f(6)=2(6)^3+5\sqrt{(6-2)}\\ f(6)=2(216)+5\sqrt{4}\\ f(6)=432+5*2\\f(6)=432+10\\f(6)=442$

5 0

3 years ago

If h= 11 units and r=4 units then what is the approximate volume of the cone

muminat

Answer:

V≈184.31

Step-by-step explanation:

V=πr2h

3=π·42·11

3≈184.30677

8 0

2 years ago

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Through: (6, 2), perpendicular to<br> y = -x-5 <br> in slope intercept form

True [87]

Answer:

y = x-4

Step-by-step explanation:

y = -x-5

Slope of line is -1.

Slope of perpendicular to line is 1.

Point-slope equation for line of slope 1 that passes through (6,2):

y-2 = 1(x-6)

Rearrange equation to slope-intercept form:

y = 1(x-6) + 2

y = x-4

6 0

2 years ago

The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas

Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that $P(0) = 500, P(10) = 1.25*500 = 625$

We apply this to the equation and find t.

$P(t) = P(0)e^{rt}$

$625 = 500e^{10r}$

$e^{10r} = \frac{625}{500}$

$e^{10r} = 1.25$

Applying ln to both sides

$\ln{e^{10r}} = \ln{1.25}$

$10r = \ln{1.25}$

$r = \frac{\ln{1.25}}{10}$

$r = 0.0223$

$P(t) = 500e^{0.0223t}$

What will be the population in 40 years

This is P(40).

$P(t) = 500e^{0.0223t}$

$P(40) = 500e^{0.0223*40} = 1220$

The population in 40 years will be 1220.

7 0

3 years ago

Guys this is a really hard one.....

Setler79 [48]

Answer:

The answer is <u>2</u>

Step-by-step explanation:

LOL XD

Have a nice day!!!!

3 0

2 years ago

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