Find the sum of the first 20 terms of the sequence {4,10,16,22,...} step by step

Answer:

The hourly growth rate parameter is of 4.74%

Step-by-step explanation:

Continuous growth model:

The continuous growth model for a population after t hours is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial population and r is the hourly growth rate parameter, as a decimal.

A sample of 1500 bacteria selected from this population reached the size of 1805 bacteria in four hours.

This means that [tex]P(0) = 1500, P(t) = 1805, t = 4[/tex]

Find the hourly growth rate parameter.

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]1805 = 1500(1+r)^4[/tex]

[tex](1+r)^4 = \frac{1805}{1500}[/tex]

[tex]\sqrt[4]{(1+r)^4} = \sqrt[4]{\frac{1805}{1500}}[/tex]

[tex]1 + r = (\frac{1805}{1500})^{\frac{1}{4}}[/tex]

[tex]1 + r = 1.0474[/tex]

[tex]r = 0.0474[/tex]

0.0474*100% = 4.74%

The hourly growth rate parameter is of 4.74%

Answer:

3 times 20 equals 60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

is/of = %/100

'x' = # coins

3/x = 5/100

cross-multiply

5x = 300

x = 60

Answer:

[tex] \bf \large 60 \: m[/tex]

Step-by-step explanation:

π = 22/7

r = 10 m

⟼ c = 2πr

⟼ c = 2 × 22/7 × 10 m

⟼ c = 2 × 3•14 × 10m

⟼ c = 6•28 × 10 m

⟼ c = 62•8 m

⟼ c = 62•8 m

⟼ c = 60 m

∴ circle circumference is 60 m.

Answer:

X= 5

Y= 2

Y-X= 2-5= -3

Uhh, you didn't provide the actual question. All you said was "Tyrell bought 4 liters of fruit punch for a party".

Answer:

33% of 39900=13,167

39900-13167=26733

Answer:

positive it is moving to the positive side of the graph

Answer:

Area≈12137.254≈12137

Step-by-step explanation:

Delta math

Answer:

i think its 8r^4

hope this helps

Step-by-step explanation:

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given.  The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor.  So right away we can say that a = 2300.

Now for the growth factor.  When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently.  So here we're increasing by 11%, or 0.11.  Then the growth factor b is (1 + 0.11), or 1.11.

Answer:

(2, - 1 )

Step-by-step explanation:

Given the 2 equations

2x - 5y = 9 → (1)

3x + 4y = 2 → (2)

Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term

8x - 20y = 36 → (3)

15x + 20y = 10 → (4)

Add (3) and (4) term by term to eliminate y

23x + 0 = 46

23x = 46 ( divide both sides by 23 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (2)

3(2) + 4y = 2

6 + 4y = 2 ( subtract 6 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (2, - 1 )

Answer:

11

Step-by-step explanation:

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Abcdefghijklmnopqrstuvwxyz

Answer:

50

Step-by-step explanation:

22 + 18 = 40

90 - 40 = 50

no way you can round it

Answer:

911

Step-by-step explanation:

Now you can get help

9514 1404 393

Answer:

  the cut plane is between non-intersecting edges

Step-by-step explanation:

The cross section will be a quadrilateral when the cut plane intersects four of the six edges of the pyramid. This will be the case when the plane lies between two edges that do not intersect.

Answer: 10

Step-by-step explanation: If you do the 3rd term divided by the 2nd term, that gives you 10. So, if the 1st term is 10, you do 10 times 10 which is 100 (2nd term) and 100 times 10 which is 1,000 (3rd term).

Answer:

no not me I have a size 7 .how about you

Answer: sorry about that Evaluate for y=8

9x+(4)(8)

9x+(4)(8)

=9x+32

Hope this help :D

Answer:

It doesn't say what x is so once you have x all you have to do is insert the numbers in their place, so you will get 9(x) + 4(8). Now multiply 9 by x, then multiply 4 and 8, which is 32. Now add 32 and whatever 9 times x is. Hope this helps!

Answer:

35% of 100 is 35

Step-by-step explanation:

the first person who answered this did a good job at explaining it

Answer:

35% of 100 is 35

Step-by-step explanation:

so trying to get this right hope it helps :D

Answer:

One sample t test

Step-by-step explanation:

A one proportion sample t test is employed when we intend to test the sample mean of a certain sample against a particular or specified population property . In the scenario above, we could use the information given to obtain the one sample proportion test statistic by using the formular :

Test statistic = (xbar - μ) ÷ (σ/sqrt(n))

Where, xbar = sample mean ;

μ = population mean

σ = population standard deviation

n = sample size

Using the test statistic, we can then obtain the Pvalue and compare to the specified α - level

Answer:

8.25

= root under (8-0)^2+(2-0)^2

= root under (8)^2+(2)^2

=root under 64+4

= root under 68

8.25 units

I hope this will help you and plz mark me as brainest answer

Answer:

10 1/18

Step-by-step explanation:

3 2/6 + 8 2/9 - 1 1/2 = ?

First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.

3 6/18 + 8 4/18 - 1 9/18 = ?

Now, we solve.

3 6/18 + 8 4/18 - 1 9/18 = 10 1/18

Answer:

The height is  88.434in

Step-by-step explanation:

Answer: m∠S=141°

Step-by-step explanation:

Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.

---------------------------------------------------------------------------------------------

Given

m∠R=39°

Solve

Given

m∠R + m∠S=180

Substitute value

39 + m∠S=180

Subtract 39 on both sides

39 + m∠S - 39=180 - 39

m∠S=141

Hope this helps!! :)

Please let me know if you have any questions.

Answer: 114 homeruns on mars

Step-by-step explanation: 76 homeruns x 0.5 = 38

76+38 = 114