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2 years ago

Find the 50th term of 0,3,6,9

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

150

Step-by-step explanation:

3×0=0

3×1=3

3×2=6

3×3=9

....

3×50=150

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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

Find the range of values of x for which the function defined by f(x)=

maxonik [38]

Answer:

all values! x ∈ R

Step-by-step explanation:

The derivative f'(x) = 6x²-6x+12 is a parabola opening upward, with its (positive!) minimum at (0.5, 11.5). If the derivative is always positive, the function must be increasing everywhere!

5 0

3 years ago

1/3 times what equals -1

Gekata [30.6K]

Answer:

0.333333+

Step-by-step explanation:

5 0

3 years ago

Which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x + 6 into the quadratic formula?

lbvjy [14]

Answer:

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

Step-by-step explanation:

0 = – 3x2 – 2x + 6

It can still be written as

– 3x2 – 2x + 6 =0

Quadratic formula=

-b+or-√b^2-4ac/2a

Where

a=-3

b=-2

c=6

x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)

x = StartFraction negative

(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction

8 0

3 years ago

3y+z=am-4y look for y

LenKa [72]

The value of y is am-z/7

<h3>How to calculate the value of y ?</h3>

The expression is given as follows

3y +z= am-4y

The first step is to collect the like terms in both sides, this way the numbers that both have y as their coefficient will be on the same side

3y + 4y= am-z

y(3+4)= am -z

7y= am-z

Divide both sides by the coefficient of y which is 7

7y/7= am-z/7

y= am-z/7

Hence the value of y in the expression is am-z/7