Let the function P represent the population P(d), in thousands, of a colony of insect
d days after first being measured. A model for P is P(d) = 10. (1.08)". ​

Answers

Answer 1

Answer:

(c) and (e) are true

Step-by-step explanation:

Given

[tex]P(d) = 10. (1.08)^d[/tex]

See attachment for complete question

Required

Which of the options is true

(a) 1080 insects on day 1

This implies that d = 1

So, we have:

[tex]P(1) = 10* (1.08)^1[/tex]

[tex]P(1) = 10* 1.08[/tex]

[tex]P(1) = 10.8[/tex]

(a) is incorrect because [tex]P(1) \ne 1080[/tex]

(b) 10800 insects after a week

This implies that [tex]d = 7[/tex]

So, we have:

[tex]P(7) = 10* (1.08)^7[/tex]

[tex]P(7) = 10* 1.71382426878[/tex]

[tex]P(7) = 17.14[/tex]

(b) is incorrect because [tex]P(7) \ne 10800[/tex]

(c): Growth factor per day is 1.08

An exponential factor is represented as:

[tex]y = ab^x[/tex]

Where

b is the growth factor

By comparison:

[tex]b = 1.08[/tex]

Hence, (c) option is true

(d): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

So, the growth factor for n days is:

[tex]Factor = 1.08^n[/tex]

Substitute 7 for n i.e. 7 days

[tex]Factor = 1.08^7[/tex]

So, the growth factor for 7 days is: [tex]1.08^7[/tex] not [tex]1.08*7[/tex]

Hence, (d) option is true

(e): Growth factor per week is 1.08*7

In (c), we have:

[tex]b = 1.08[/tex] as the daily growth factor

For hourly rate, we have:

[tex]Factor = 1.08^\frac{1}{24}[/tex]

Hence, (e) option is true

Let The Function P Represent The Population P(d), In Thousands, Of A Colony Of Insectd Days After First

Related Questions

A store Has Clearance Items that have been marked
down by 30% They are
having a sale, advertising an additional 45% Clearance.
of the original price do you
end up paying?

Not sure what I did wrong here I used the formula I was given. However it’s still wrong.

Answers

Answer:

sh 75

Step-by-step explanation:

I don't know what's the method but I hope this will help.if it isn't matching the answer in your book, you can ask me I mean you can tell me.

(Hypothetical.) Suppose a certain person's reaction time, in seconds, for pressing a button on a visual cue has the following cumulative distribution function: F (x )equals 1 minus fraction numerator 1 over denominator (x plus 1 )cubed end fraction space x greater than 0 What is the probability the person's reaction time will be between 0.9 and 1.1 seconds

Answers

Answer:

the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

Step-by-step explanation:

Given the data in the question;

the cumulative distribution function F(x) = [tex]1 - \frac{1}{(x + 1)^3}[/tex] ; [tex]x > \theta[/tex]

probability the person's reaction time will be between 0.9 and 1.1 seconds

P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )

P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)

= [ [tex]1 - \frac{1}{(x + 1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(x + 1)^3}[/tex] ]

we substitute

= [ [tex]1 - \frac{1}{(1.1 + 1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(0.9 + 1)^3}[/tex] ]

= [ [tex]1 - \frac{1}{(2.1)^3}[/tex]  ] - [[tex]1 - \frac{1}{(1.9)^3}[/tex] ]

= [ [tex]1 - \frac{1}{(9.261)}[/tex]  ] - [[tex]1 - \frac{1}{(6.859)}[/tex] ]

= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]

= 0.8920203 - 0.8542062

= 0.0378

Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378

a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of the metal prism..........

Answers

Answer:

no inglish :"<

sorry pero espero y alguien te responda bien pronto

Find the volume of a pyramid with a square base, where the area of the base is
13.2 cm2 and the height of the pyramid is 13.7 cm. Round your answer to the
nearest tenth of a cubic centimeter.

Answers

Answer:

[tex]V=60.28\ cm^3[/tex]

Step-by-step explanation:

Given that,

The area of the base = 13.2 cm²

The height of the pyramid = 13.7 cm

We need to find the volume of this pyramid. The formula can be given by :

[tex]V=\dfrac{1}{3}Bh[/tex]

Put all the values,

[tex]V=\dfrac{1}{3}\times 13.2\times 13.7\\\\V=60.28\ cm^3[/tex]

So, the volume of the pyramid is equal to [tex]60.28\ cm^3[/tex].

On July 1, 2021 Sikie Shoe Manufacturing Co. issued 45,000 common shares for cash at a Market price of $25

Answers

Answer:

$1125000

Step-by-step explanation:

45,000 x 25 = 1125000

Since the question didn't specify what values to calculate, I will assume that it is how much money was issued in total.

Hey answer please thanks

Answers

Answer:

Volume of a cone = 18 in³

Step-by-step explanation:

diameter of cone = 3 in

radius of cone = 1.5 in (diameter/2)

height = 8 in

Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]

V = (3 × 1.5 × 1.5 × 8)/3

V = 54/3

V = 18 in³

HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP

Answers

Answer:

LN= 68°

Step-by-step explanation:

Find the values of X and why. Dragon drop the answers into the box is below.

Answers

Answer:

1 3/4 1

Step-by-step explanation:

26)
Ahmed states that as the parabola below is narrower than the parent function, the value of a is
0

PLEASE I WILL MARK BRANLIESTTTTT!!!!! IF U GUVE THE RIGHT ANSWER

Answers

Answer:

Ahmed is incorrect.  The first thing to note is that if the value of a is 0, than it is not a quadratic function- it is a linear function.

Second thing to not is that a parabola because narrower as the value of  a increases, not decreases.  If the parabola is narrower than the parent graph, that means a has a value that is greater than 1.

Please remember to brainliets this answer.

I need help.



The x-intercepts of the graph of a certain parabola are (0,0) and (10,0).
The axis of symmetry is x =

Answers

Answer:

the symmetry would be the opposite

Step-by-step explanation:

hope it helps

Find The greatest common Factor of 7, 15, 21

Answers

Answer:

1

Step-by-step explanation:

1. List the prime factors of each number.

2. Circle every common prime factor — that is, every prime factor that's a factor of every number in the set.

3. Multiply all the circled numbers. The result is the GCF.

Answer:

1

Step-by-step explanation:

Camden's gross pay is $2000. Camden gets pald every 2 weeks. Camden's Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his
gross pay, and Medicare is 1.45% of his gross pay. Find Camden's net pay.

Answers

Answer:

1535

Step-by-step explanation:

camdens net pay will be 1535

Rewrite each if the following division problems as a multiplication problem.

a. 24/3 = 8
b. 336/8 = x

Answers

9514 1404 393

Answer:

  a.  24 = 8·3

  b.  336 = 8·x

Step-by-step explanation:

A division equation can be rewritten as a multiplication equation by multiplying both sides by the denominator (divisor).

  a/b = c   ⇔   a = bc

__

a.  24/3 = 8   ⇒   24 = 3·8

b.  336/8 = x   ⇒   336 = 8x

Solve the following

NO BOTS!

Answers

Answer:

75/-3 = -25

Step-by-step explanation:

Numerator: -5^2 + 10^2 = 75

-5^2 = -25, since the minus sign is not in parentheses with the 5, it does not get squared so the negative is added on to five squared which is 25.

10^2 = 100,

-25 + 100 = 75

Denominator: (2 x (-5) x 3) + 3^3 = -3

2 x (-5) x 3 = -30, we can simply multiply these all together so 2 x -5 is -10, and -10 x 3 = -30

3^3 = 27, 3^3 = 3 x 3 x 3, which multiplied all together, 3 x 3 = 9, 9 x 3 = 27

-30 + 27 = -3

Total Fraction = 75/-3  

Simplified = -25

1 million =_____________ hundred thousand

Answers

Answer:

seriously,I think the answer is 10 hundred thousand

Step-by-step explanation:

10*100000=1000000

Cassie buys a soccer ball that cost 3249 she gives the store clerk $40 how much change should she get back

Answers

Answer:

$7.51

Step-by-step explanation:

I think you meant $32.49*

$40.00

- $ 32.49

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

$ 7.51

Since she's giving the clerk $40.00 for an item that only costs $32.49, you subtract $32.49 from $40.00 to get the amount of change she would get back.

A piece of art weighing 30 pounds is hung from two wires as shown below. Each wire is supporting half of the weight of the picture. However, since the wires extend out at an angle, they are also imparting force towards the left and right. Therefore, the force on each wire is greater than 15 pounds. Look at the diagram above with the vectors. Use trigonometry to find ||→ux||and ||→vx||.
||→ux||=____  pounds    ||→vx||= ___ pounds    What is the total force (in pounds) exerted on each wire?
||→u||= ____pounds    ||→v||=  ____pounds   ​​​​

Answers

Answer:

30 pounds + 15 pounds is 45 pounds is your total force

4x² - 12x + 8
A.Not factorable
B. factorable

Answers

Answer:

It is factorizable

Step-by-step explanation:

4(x² - 3x + 2) is the factoried version :)

Help me please I have no clue

Answers

Answer:

Step-by-step explanation:

You see that there’re angles with 30 and 90 degrees that means that -> 180-(90+30)=60 (measurement of the third angle)

Here you’ll need to use the 30,60,90 degree triangle rule:

The opposite side of 30 degree will be y

30->y

90->2y->12√3 => y=6√3

60->y√3->x => 6√3x√3=6x3=18

To understand the rule better you can check the picture below.Wish it will help you!Good luck!

If F(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (f°g)(x)?

Answers

Answer:

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Step-by-step explanation:

Composite functions:

Suppose that we have two functions, f and g. Their composite is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this question:

We have that:

[tex]f(x) = 3x + 2[/tex]

[tex]g(x) = x^2 + 1[/tex]

The composite function is:

[tex](f \circ g)(x) = f(g(x)) = f(x^2+1) = 3(x^2 + 1) + 2 = 3x^2 + 3 + 2 = 3x^2 + 5[/tex]

The composite function is

[tex](f \circ g)(x) = 3x^2 + 5[/tex]

Can someone help me? I’ll reward points + brainalist (btw In need help with 8, & 9)

Answers

Answer:

8. X=108.

9. X= 14.

Step-by-step explanation:

Hope it was helpful ;)

A professor gives a surprise quiz with one multiple choice question. There are 4 answer possibilities: A, B, C, and D. What is
the probability that you randomly guess and select the correct answer?
Give your answer as a fraction

Answers

25% chance out of 100% probability

Which equation has a constant of proportionality equal to

Answers

There are many equations that has a constant of

proportionality, might want to make it more specific.

Answer:

i can answer this if you tell me whay the constant of proportionality is. or you can add a attachment

Step-by-step explanation:

In a study of academic procrastination, the authors of a paper reported that for a sample of 451 undergraduate students at a midsize public university preparing for a final exam in an introductory psychology course, the mean time spent studying for the exam was 7.74 hours and the standard deviation of study times was 3.10 hours. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of students taking introductory psychology at this university.

Required:
Construct a 95% confidence interval to estimate μ, the mean time spent studying for the final exam for students taking introductory psychology at this university.

Answers

Answer:

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.1}{\sqrt{451}} = 0.29[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 0.29 = 7.45 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 0.29 = 8.03 hours

The 95% confidence interval to estimate μ is between 7.45 hours and 8.03 hours.


2)Preparation of the statement of cash flows involves:
a.Computing the net increase or decrease in cash.
b.Computing and reporting net cash provided or used by operations.
c.Computing and reporting net cash provided or used by investing activities.
d.Computing and reporting net cash provided

Answers

Answer:

The Answer is gonna C.Computing and reporting net cash provided or used by investing activities.

Step-by-step explanation:

I hope I helped

What is the side length, x, of this cube? ____ miles


Please help, I will mark brainlist.

Answers

x=30
explanation:
if we are given that the volume is 27,000, we know that x^3 should equal 27,000
so take the cube root of 27,000 and that is 30

Amanda covers the outside of a box, shown in the diagram below, with
decorative paper for a school project. The top of the box is open.
3 in
7 in.
8 in
If the paper costs $0.03 per square inch, what is Amanda's total cost?

Answers:
4.38
6.06
5.04
2.70

Answers

the answer is i think 2.70

Cheryl deposits $7,500 into the bank. She cannot withdraw or deposit any more money for 6 years. She earns a 6% interest during that time.

How much interest will she have earned at the end of 6 years?
2,700

What will her new balance be when she is finally able to withdraw her money?

Answers

Answer:

See explanation

Step-by-step explanation:

Since banks use compound interest, then we write;

A = P(1 +r)^n

A = amount

P = principal

r= rate

n= time period

P = $7,500

n = 6

r = 6%

Substituting values;

A = P(1 +r)^n

A = 7,500(1 + 6/100)^6

A=$ 10,639

Interest = Amount (A) - Principal(P)

Interest = $ 10,639 - $7,500

Interest = $3139

Her final account balance after six years is $10,639

which statement best explains why the value of this expression is equal to -8 1/2 y?

Answers

You need to show the statement.

Help me with this problem please

Answers

Answer:

[tex](a)\ A_1 = s^2[/tex]

[tex](b)\ A_2 = 4s^2[/tex]

(c) 4 small squares

Step-by-step explanation:

Given

Small Square:

[tex]Dimension: s[/tex]

Large Square:

[tex]Dimension: 2s[/tex] i.e. twice as long as the small square

Solving (a): The area of the small square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_1 = s^2[/tex]

Solving (b): The area of the large square.

This is calculated as

[tex]Area = Length^2[/tex]

So, we have:

[tex]A_2 = (2s)^2[/tex]

[tex]A_2 = 4s^2[/tex]

Solving (c): Number of small square to cover the large square

To do this, we simply divide their areas.

Let n represents the required number; n is calculated as:

[tex]n = \frac{A_2}{A_1}[/tex]

[tex]n = \frac{4s^2}{s^2}[/tex]

[tex]n = 4[/tex]

Hence, 4 small squares is required to cover the large square

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