The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answer:

the answer is 614/63

Step-by-step explanation:

6/7 + 80/9

614/63

The total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

To calculate the total distance Jacob and his dad hiked from their campsite to the top of the mountain, we need to consider the width of the base of the mountain and the height of the mountain.

Given:

Base width of the mountain: 2,600 feet

Since the mountain is pretty much isosceles, we can assume that the height of the mountain is equal to the length of the two equal sides of the triangle formed.

To find the height of the mountain, we can use the Pythagorean theorem.

Let's assume the height of the mountain is 'h' feet.

Using the Pythagorean theorem, we have:

[tex](2,600/2)^2 + h^2 = 2,600^2[/tex]

Simplifying the equation:

[tex]1,300^2 + h^2 = 2,600^2\\1,690,000 + h^2 = 6,760,000[/tex]

[tex]h^2 = 6,760,000 - 1,690,000\\h^2 = 5,070,000[/tex]

Taking the square root of both sides:

h = sqrt(5,070,000)

h ≈ 2,252.96 feet

Now we can calculate the total distance they hiked from their campsite to the top of the mountain by considering the base width and the height of the mountain.

Total distance = Base width + 2 × Height

Total distance = 2,600 + 2 × 2,252.96

Total distance ≈ 2,600 + 4,505.92

Total distance ≈ 7,105.92 feet

Therefore, the total distance that Jacob and his dad hiked from their campsite to the top of the mountain is approximately 7,105.92 feet.

for such more question on distance

https://brainly.com/question/12356021

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i believe it would be d. -1

explanation:

you just cancel the common factor which is 2

then rewrite the expression

Answer:

D

Step-by-step explanation:

in order to get the process of solving the equation, we need to solve it.

our goal to solve the equation 6x-19=77 is to isolate the variable onto one side, and have the numbers (value of x) on the other

we have the equation:

6x-19=77

first, we can get rid of -19 on the left side and leave 6x on that side by adding 19 to both sides (-19+19=0).

The reason why we're adding 19 to both sides is because if we do something to one side, we have to do it to the other side to make sure the value of the equation stays the same.

6x-19= 77

   +19  +19

_________

6x=96

now, we do have the variables on one side and the numbers on another side, but we aren't done yet, as we want the value of x by itself

divide by 6 on both sides

x=16 (because 6x/6=1x, or x. 96/6=16).

the option of D shows the same method I did and has the correct answer as well.

This is what was given for D:

6x-19=77

6x-19+19=77+19

6x=96

6x/6=96/6

x=16

(same thing I did)

So D is the correct answer.

Hope this helps!

Answer:

70148.06

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

10x90=900

so the answer is 900

Answer:

the anwser is H

Step-by-step explanation:

the radical of 16 is《 4》

♧x^3 it means 4^3=64

the radical of 4 is 2

Answer:

hope it helps...

Answer:

-2

Step-by-step explanation:

-6 ( x - 8) = 60

• divide -6 on both sides

-6 and -6 cancel out and 60 ÷ -6 = -10

• your new equation is now x - 8 = -10

• add 8 to both sides x - 8 = -10

+8. +8

• x = -2

Answer:

$4

Step-by-step explanation:

5c + 4p=28 equation 1

2c + 2p=12 equation 2

-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.

-4c-4p=-24 equation 2 multiplied by -2

5c+4p=28. Equation 1

c=4 added above 2 equations

solve for plates:

2c + 2p=12

2(4)+ 2p=12

8+2p=12

2p=4

p=2

check answer:

5c+4p=28. Equation 1

5(4)+4(2)=28

20+8=28

28=28

Answer:

37 ft

Step-by-step explanation:

The ladder forms a right triangle as it elan's against the wall of the boat house.

Thus, the length of the ladder can be determined using Pythagorean theorem.

c² = a² + b²

c = length of ladder

a = 35 ft

b = 12 ft

Plug in the values

c² = 35² + 12²

c² = 1,225 + 144

c² = 1,369

c = √1,369

c = 37

Therefore, to reach the roof of the boathouse, the length of the ladder = 37 ft

The required proportion according to the given figure is [tex]\frac{2}{5} =\frac{5}{8}\\[/tex]

The dilation factor is used to determine the extent to which an object has increased or decreased.

The required proportion is expressed as:

[tex]\frac{l}{w} =\frac{L}{W}\\ \frac{5}{2} =\frac{8}{5}\\ \frac{2}{5} =\frac{5}{8}\\[/tex]

Hence the required dilation is [tex]\frac{2}{5} =\frac{5}{8}\\[/tex]

Learn more on dilation here: https://brainly.com/question/10253650

Answer:

6

Step-by-step explanation:

the opposite of -4 is 4 and then add 2

Answer:

Yeah 6

Step-by-step explanation:

Exact same steps as the person above :)

Good luck!!

Answer:

sin x = 80/100

Step-by-step explanation:

sin = opp/hyp

sin x = 80/100

Answer:

2x+1=5x

or,2x-5x=-1

or, -3x=-1

or,3x=1

so,1=3x

therefore,no.c is the answer

Answer:

฿₹Ø: 1391 US$

Step-by-step explanation:

Answer:

THis does that give me enough information to answer.

Step-by-step explanation:

Answer:

1mm

cos(60)= 1/2

1/2 x 2 = 1

1 mm

Answer:

False.

Step-by-step explanation:

Answer: 4/15

Step-by-step explanation:

Probability of picking out a basketball card = 2/5

Probability of picking out a football card = 1/3

Therefore, the probability of picking out a soccer card will be:

= (1 - 2/5 - 1/3)

= (15/15 - 6/15 - 5/15)

= 4/15

Therefore, the probability that Justice will randomly pick out a soccer card is 4/15.

Answer:

A. -22

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

B, rhombus and rectangle

Step-by-step explanation:

Why?

Because you can see none of their opposite lines intersect and they run on.

Answer:

I think its True but im not sure

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the value of Q3 is 15

Answer:

Intial Value; $4 (charged)

Rate of change: $2 every exhibit visited

Admission: $4

1 exhibit visited: $6

2 exhibits visited: $8

3 exhibits visited: $10

4 exhibits visited: $12

5 exhibits visited: $14

6 exhibits visited: $16

7 exhibits visited: $18

8 exhibits visited: $20

etc.

Step-by-step explanation:

4+2x = C

C= Cost

X = amount of exhibits visited

To find the total cost.

Answer:

Y = 60 because a equallateral triangle is always 60˚ I don't know x though

Answer:

Step-by-step explanation:

¿A qué se llamó feudalismo? ¿Dónde y cuándo se desarrolló?

Answer:C the students were amounting to almost nothing in theater a

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

1/2x6=3

Step-by-step explanation:

i hope this helps :)

Answer:

62.4

Step-by-step explanation:

Brainliest

Answer

62.4

Step-by-step explanation:

Answer:

distance

Step-by-step explanation:

lets say -7 what is -7 distance from 0

so the absolute value of -7 is 7

Answer:

Step-by-step explanation:

Absolute value represents the distance between 2 points on a number line or coordinate plane.