help this should be simple ​

Answer:

762 days

Step-by-step explanation:

Given

[tex]Rate = 200 + 10t + 13t^2[/tex]

Let the rate be R.

So the rate change with time is represented as:

[tex]\frac{dR}{dt} = 200 +10t + 13t^2[/tex]

So:

[tex]dR = (200 + 10t + 13t^2)\ dt[/tex]

To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3

i.e.

[tex]dR = (200 + 10t + 13t^2)\ dt[/tex] becomes

[tex]\int\limits^3_0 {dR} \, =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]

[tex]R =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]

Integrate

[tex]R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0][/tex]

Solve for R by substituting 0 and 3 for t

[tex]R = (200*3 + \frac{10*3^2}{2} + \frac{13*3^3}{3}) - ( 200*0 + \frac{10*0^2}{2} + \frac{13*0^3}{3})[/tex]

[tex]R = (200*3 + \frac{10*9}{2} + \frac{13*27}{3}) - (0 + \frac{10}{2} + \frac{0}{3})[/tex]

[tex]R = (200*3 + 5*9 + 13*9) - (0)[/tex]

[tex]R = 600 + 45 + 117 - 0[/tex]

[tex]R =762[/tex]

The population of insect between the required interval is 762

The required change in the population of insects between day 0 and day 3 is 762.

Given that,

A population of insects increases at the rate of 200++ 10t + 13t2.

We have to determine,

What is the change in the population of insects between day 0 and day 3.

According to the question,

The rate change with time is represented as:

[tex]\frac{dr}{dt} = 200+10t+13t^{2}[/tex]

To determine the change in the population of insects between day 0 and day 3,

Integrating the given function with respect to time with limit 0 days to 3 days.

[tex]\int\limits^3_0 dr = \int\limits^3_0 (200+10t+13t^{2} ). dt\\\\\int\limits^3_0dr =\int\limits^3_0 \, 200dt + \int\limits^3_0 10tdt +\int\limits^3_0{13t^{2} dt\\\\\\\\R = [200t]^3_0 + [5t^{2} ]^3_0 + [\frac{13t^{3} }{3} ]^3_0\\\\R = 200[(3) - (0)] + 5 (3^{2} - 0^{2} ) + \frac{13}{3} [ 3^{3} - 0^{3} ]\\\\R = 200(3) + 5 (9) + \frac{13}{3}(27)\\\\R = 600+45+117\\\\R = 762[/tex]

Hence, The required change in the population of insects between day 0 and day 3 is 762.

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Answer:

Ameliorate retort, pertaining to preceding albeit contingent interrogate proximates subject to x = 12.

Step-by-step explanation:

Availing, exploiting, albeit maneuvering the Mathematic convention, Order of Operations (OO), the contiguous albeit proximate equation may ascertain as the preeminent imminent:

Groups: Not identified.

Exponents: Not identified, disparaging ₁.

Multiplication: Derived, pertaining to subtraction, 4 · (7/4x) = 4 · 21  7x = 84

Division: Derived, pertaining to multiplication, 7x = 84 ⇒ x = 12

Addition: Aggregate constants ⇒ 5/2x = 3/4x +21

Subtraction: Abate algebraic groups ⇒ 7/4x = 21

Answer:

C

Step-by-step explanation:

The simplified expression of the given expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex] is [tex]w^{16[/tex].

The expression -5[tex]w^2y^{-2[/tex] / -15[tex]w^{-6}y^2[/tex]  can be simplified as follows:

= -5 * [tex]w^{2 - (-6)[/tex] * [tex]y^{-2 - 2[/tex] / -15 * [tex]w^{-6 - 2[/tex] * [tex]y^{2 - (-2)[/tex]

= -5 * [tex]w^8[/tex] * [tex]y^{-4[/tex] / -15 * [tex]w^{-8[/tex] * [tex]y^4[/tex]

= (-5 / -15) * ([tex]w^8[/tex] / [tex]w^{-8[/tex]) * ([tex]y^{-4[/tex] / [tex]y^4[/tex])

= 1 * [tex]w^{16[/tex] * [tex]y^0[/tex]

= [tex]w^{16[/tex]

Therefore, the simplified expression is w^16.

Here is a breakdown of the steps involved in the simplification:

The powers of w and y are combined using the distributive property of exponents.

The negative exponents are changed to positive exponents by dividing by the same base raised to the power of the negative exponent.

The factors of 5 and 15 are simplified.

The common factors of w and y are simplified.

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Answer:

$4,800

Step-by-step explanation:

15% of $32,000

15% × 32000

0.15 × 32000 = $4,800

15% of $32,000 is $4,800 which will go to charity :)

Answer:

Each has to work 5 hours and earn $42

Step-by-step explanation:

Let m and h represent hours Nai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have ...

 7m +14h = 8.40(m+h)

 5.60h = 1.40m . . . . . . . . subtract 7m+8.40h

 m = 4h . . . . . . . . . . . . . . divide by 1.40

Then the total number of hours worked by either person is ...

 m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Each must work 5 hours and earn $42 before they go to the movies.

__

Nai will work 4 hours mowing and 1 hour hauling.

Each must work 5 hours and earn $42 before they go to the movies. Mai will work 4 hours mowing and 1 hour hauling.

Two or more expressions with an Equal sign is called as Equation.

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting.

In order for their earnings to be equal, we must have

7m +14h = 8.40(m+h)

subtract 7m+8.40h

5.60h = 1.40m

Divide by 1.40

m = 4h

Then the total number of hours worked by either person

m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Hence, Each must work 5 hours and earn $42 before they go to the movies. Mai will work 4 hours mowing and 1 hour hauling.

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Answer: Yes

Step-by-step explanation:

Answer:

yesh it does :>

Step-by-step explanation:

Answer:

If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Step-by-step explanation:

Answer:

23.8 will be it's answer

8-5+43/8

43 divided by 8 is 5.375.

8-5+5.375

8+0.375

The answer I got was 8.375

Answer:

I'm not completely sure but i'm going to guess on D the domain is 1 < f < 7, the range is 24 < c(f) < 168

Step-by-step explanation:

because 1 cup is < to a cup of Flour (f), and the expression says 7 cups in total so i f is less than or equal to the total number of cups 7. then the range says c(f)=24(f), meaning you get 24 cookies for the input amount "f" of cups of flour. So the range would be 24 is grater of equal to the c(f)which in total (7 x 24) is equal to 168

Answer:

the oldest sister spent 2.70$ (given)

the middle sister spent 10.80$

and the youngest sister spent 7.12$

Step-by-step explanation:

Answer:

The calculated mean price is a sample mean and it is denoted by x.

Step-by-step explanation:

Given that

Mean price of paintings = $3550

Number of paintings = 20

In order to decide whether it is a population mean or a sample mean we have to understand the terms first.

Population:

Population is the overall collection from which a sample or observations are taken.

Sample:

The small or less number of observations that we take from a large population to perform data analysis is called sample.

In the given scenario, all the paintings at the art fair are population while the number of paintings that the art collector bought is a sample.

Hence,

The calculated mean price is a sample mean and it is denoted by x.

Answer:

It is permutation without repetition. I just took the quiz. This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.

Step-by-step explanation:

Answer:

Permutation without repetition

Step-by-step explanation:

This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.

9514 1404 393

Answer:

  453.6 g

Step-by-step explanation:

The mass of 80 quarters will be 80 times the mass of 1 quarter:

  80 × 5.67 g = 453.6 g

The mass of two rolls of quarters is 453.6 grams.

_____

Additional comment

That's about 1.0000 pounds.

Answer:

30$ for a pack of 15

Step-by-step explanation:

12$ ÷ 6 to get the price for 1 can, then use that to multiply by 15 to get how much 15 cans cost.

Answer:

<D is correct its confusing on the solving but

Step-by-step explanation:

Answer:

8.04

Step-by-step explanation:

Answer: 7 ; 26 ; 123

Step-by-step explanation:

Min __Q1 __ Median ___ Q3 __ Max

7____ 72 ____79 ______86__ 123

Given the 5 number summary information :

The Outlier :

Lower bound : Q1 - (1.5 * IQR)

Upper bound : Q3 + (1.5 * IQR

IQR = Q3 - Q1 = (86 - 72) = 14

Lower = 72 - (1.5 * 14)

Lower boundary = 51

Upper boundary = 86 + (1.5 * 14)

Upper boundary = 86 + 21 = 107

Values below 51 and values greater Than 107 are outliers.

Hence, 7, 36 and 123 are outliers

Answer:

28.26 cm^2

Step-by-step explanation:

A = (pi)r^2

A = 3.14 * (3 cm)^2

A = 3.14 * 9 cm^2

A = 28.26 cm^2

Answer:

∠A = 45°

Step-by-step explanation:

It is given that,

sin A = sin B

∠C is a right angle.

If sin A = sin B, it means

sin 45 = sin 45 = [tex]\dfrac{1}{\sqrt2}[/tex]

It means that angle A and angle B is 45 degrees.

Step-by-step explanation:

T = k * sqrt(d), where k is a real constant.

When d = 6, T = 5.

k = T / sqrt(d) = 5 / sqrt6.

Therefore when d = 3, T = (5 / sqrt6) * sqrt3 = 3.53.

Answer:

there isn't a slope, if you're talking about

(2,-4) and (2,6), since

using the vertical line test.....

it's not even a function

so it doesn't have a slope

Step-by-step explanation:

Answer: 43

Step-by-step explanation:

because i know

Answer:

2/3

Step-by-step explanation:

66.66 percent is closest to the fraction 2/3.

Answer:

Step-by-step explanation:

f(x) = 3(x + 4)(x – i)(x + i)(x – 2)

Answer:

4

Step-by-step explanation:

7+7+7+7 or 28/7 =4

Answer:

9 4/5

Step-by-step explanation:

I hope that helps! :)