Please help. . . . . . . . .

Answer:

Step-by-step explanation: there are 1760 yards in one mile, so therefor there are  1760

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

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Answer:

a ko ans

= 2×2+9

=4+9

= 13ans

Answer:

1

Step-by-step explanation:

Answer:

A  -  first option

Explanation:

first step: 2(5+c)=3(5-c)

second step, solve for c: 10+2c=15-3c

finally: 5c=5 c=1

Answer:

1 mph

Step-by-step explanation:

Jarrell should purchase 7 lbs of ground beef.

Number of attendees = 20

Fraction of burger per person = 1/3 lbs

Total fraction of burger required to feed 20 persons :

Number of attendees × fraction per person

20 × 1/3 = 6.667

The number of whole grouhd beef that should be purchased is 7 lbs

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

(a) Bako is 10 years old

(b) His mother was 30 years old when Bako was 5

(c) Bako will be 25 years old when his mother is 50

(d) Bako's mother was 25 years old when he was born

(e) The difference between Bako's age & his mother's is 25 years

Step-by-step explanation:

Let Bako's age five years ago be x years

Presently, Bako is 2x years old (according to the 1st statement)

Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.

This simply means that Bako's present age is BOTH 2x years & (x + 5) years.

We have to equate them since they mean the same thing (Bako's present age)

x + 5 = 2x

2x - x = 5

Therefore x = 5 years

Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.

This simply means that Bako's age now is 10 years old.

His mother was then six times 5 years = 30 years old (from the 2nd statement).

If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.

This simply means that Bako's mother is older than him with 25 years.

Therefore, Bako will be 25 years old when his mother is 50 years old

There are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

The prοduct οf all pοsitive integers less than οr equal tο a given pοsitive integer and denοted by that integer and an exclamatiοn pοint. Thus, factοrial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factοrial zerο is defined as equal tο 1.

If the chοice matters (i.e., the οrder οf the chοsen οbjects matters), then there are 3 pοssible chοices fοr the first οbject and 2 pοssible chοices fοr the secοnd οbject.

Thus, there are 3 * 2 = 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters.

If the chοice dοes nοt matter (i.e., the οrder οf the chοsen οbjects dοes nοt matter), then there are 3 chοοse 2 = 3!/((3-2)!*2!) = 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

Therefοre,  there are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

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5 weeks do Newton and Descartes spend at home. This can be solved using the concept of fractions.

In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the equal components of the whole. Both the numerator and denominator are components of a fraction. The top number is referred to as the numerator, while the bottom number is referred to as the denominator.

Given that,

Newton and Descartes have a 70-day summer vacation

They go to camp for 23/70 of their vacation

= 70 × (23/70)

= 23

Next, they travel for 6/35 of their vacation

= 70 × (6/35)

= 12

So, they stay home the rest of their vacation

= 70 - 23 - 12

= 35

Now, they stay home (35 ÷ 7) = 5 weeks.

Therefore, 5 weeks do Newton and Descartes spend at home.

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Step-by-step explanation:

We observe the line graph.

For every 1 block across, the line goes up by 2 blocks. Therefore Slope = Rise/Run = (2)/(1) = 2.

Also, the y-intercept when x = 0 is 2.

Slope-intercept form: y = mx + c

Hence we have y = 2x + 2. (C)

Answer:

B I think

Step-by-step explanation:

It’s either that or c

A scaled version of any object is the object that has undergone a form of increment/enlargement or reduction has been made to the object. in the case of 3:5 scaled version, it tells you the ratio of increment or reduction that has happened to the object in comparison to the original object.

In the height of an object has a 30cm height and perhaps a 12 cm width. Using a scaled version ratio provided which is 3:5. The scaled version f the object would be

3/5 x 30 = 18cm

3/5 x 12 = 7.2cm

A second example is if a rectangular room with dimensions 10 feet by 15 feet and you want to scaled version of  3:5, it becomes  = 10 x (3/5) = 6 feet and 15 x (3/5) = 9 feet

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Answer: 4/15

Step-by-step explanation: 4/5 divided by 3 is the same as 4/5 times 1/3 wich is the reciprocal of 3

Answer:

58 campers,

Step-by-step explanation:

you do 200 - 25 then 175 divided by 3

see the attached figure to better understand the problem

In the right triangle of the figure

tan(50)=h/40

h=40*tan(50)

therefore

Answer:

18

Step-by-step explanation:

8+(2)(5)

=18

Answer:

18

Step-by-step explanation:

8 + (2×5)

=8 + 10

= 18

hope this will help you ☺✌

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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Answer:

25 coin tosses is the ans

Answer: 25 coin tosses

Step-by-step explanation: hope this helps!

Answer:111

Step-by-step explanation:

1111

Answer:

Mount Tambora, also called Mount Tamboro, Indonesian Gunung Tambora, volcanic mountain on the northern coast of Sumbawa island, Indonesia, that in April 1815 exploded in the largest volcanic eruption in recorded history. It is now 2,851 metres (9,354 feet) high, having lost much of its top in the 1815 eruption. The volcano remains active; smaller eruptions took place in 1880 and 1967, and episodes of increased seismic activity occurred in 2011, 2012, and 2013.

Answer:

\( x = - 1\)

\(x + 1 = 0\)

\( {(x + 1)}^{2} = {x}^{2} + 2x + 1 = 0\)

So m = 2 and n = 1, meaning m + n = 3.

Answer:

a) 5+(-1)

b) 5-1

c) 4 is the value

Answer:

1.5 > 1.25

Step-by-step explanation:

1.5 is smaller than 1.25

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer:

Step-by-step explanation:

If the sum of two angles = 180°

Then the pair of angles will be supplementary.

If the sum of two angles = 90°

Then the pair of angles will be complementary.

Sum of angles having measures 98° and 82° = 98° + 82°

                                                                          = 180°

Therefore, both the angles will be supplementary.

Sum of angles having measures 134° and 36° = 134° + 36°

                                                                            = 170°

Therefore, these angles are neither supplementary nor complementary.

So the answer is NEITHER.