Kiran is about to start hiking on a trail that is 1.8 miles long. In his past hikes on the same trail, he had walked at a constant rate of 2.4 miles an hour, which is 0.04 mile a minute. Function (F) represents Kiran's remaining distance on the trail, in miles, t, minutes after he starts walking. Write an equation to represent this function. Use function notation.

Answers

Answer 1

Answer:

F(t) = 1.8 - 0.04t

Step-by-step explanation:

Given that :

Length of trail = 1.8m

Walking speed = 0.04 miles per minute

Distance left, t minutes after one statues walking :

Total distance covered after t minutes = speed * time = 0.04t

Distance left after t minutes :

Initial distance - distance covered

Hence,

F(t) = 1.8 - 0.04t


Related Questions

Find the range for the list of numbers

21, 18, 24, 19, 27

Question 3 options:

6


9


21


21.8

Answers

18,19, 21,24,27. 27-18=9. Range =9

Answer:

9

Step-by-step explanation:

i did the same thing on k12

It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?​

Answers

Answer:

120 cups of sugar

8 ounces of paint

Step-by-step explanation:

Given that :

To cover all sides of the rectangular prism with paint, that is the surface area.

The amount of sugar held by the prism is function of its volume.

Hence, doubling the dimension :

The surface area, in unit² is a obtained by

Initial paint required * 2^2

2 * 2² = 2 * 4 = 8 ounces of paint.

For sugar :

It has to do with volume, unit³

Initial * double³

15 * 2³

15 * (8) = 120 cups of sugar

Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.

Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?​

Answers

THE ANSWER FOR THIS IS

30%

please help and explain ​

Answers

Answer:

Step-by-step explanation:

Fraction of surveyed women who voted for football = 25/72

Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]

                  [tex]=\frac{625}{18} = 34.72[/tex]

                  = 35%

The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)

What are the coordinates of Point C'? C'(__,__)

What are the coordinates of Point A? A(___,____)

Answers

Given:

The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).

Red is original figure and green is dilated figure.

To find:

The coordinates of point C' and point A.

Solution:

Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then

[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]

According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).

[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex]            ...(i)

Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).

Using (i), we get

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]

[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]

[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]

[tex]C(-2,11)\to C'(2,5)[/tex]

Therefore, the coordinates of Point C' are C'(2,5).

We assumed that point A is A(m,n).

Using (i), we get

[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]

From the given figure it is clear that the image of point A is (8,4).

[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]

On comparing both sides, we get

[tex]\dfrac{1}{3}(m-4)+4=8[/tex]

[tex]\dfrac{1}{3}(m-4)=8-4[/tex]

[tex](m-4)=3(4)[/tex]

[tex]m=12+4[/tex]

[tex]m=16[/tex]

And,

[tex]\dfrac{1}{3}(n-2)+2=4[/tex]

[tex]\dfrac{1}{3}(n-2)=4-2[/tex]

[tex](n-2)=3(2)[/tex]

[tex]n=6+2[/tex]

[tex]n=8[/tex]

Therefore, the coordinates of point A are (16,8).

How do you write 1/2 as a percentage?

Answers

Answer:

lol 50%

Step-by-step explanation:

hope this helps.

Answer:

50%

Step-by-step explanation:

=™=®=™™÷™=™{ k jvj cccchch

The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle

Answers

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

what is greater1/2 or 1/5

Answers

Answer:

1/5

Step-by-step explanation:

[tex]hope \: it \: helps \: you[/tex]

identify the zeros of the function
5
1 and 2
1 and -2
-1 and 2

Answers

Answer:

my answer is the first one..............

Does anyone know what the answer to this is???

Answers

Answer:

7.4% increase (approximated)

Step-by-step explanation:

✔️Dimension of the original rectangle:

Length = 30 cm

Width = 20 cm

Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm

✔️Dimension of new rectangle:

Length is increased by 10% = 10/100 × 30cm = 3 cm

New length = 30 + 3 = 33 cm

Width is increased by 5% = 5/100 × 20cm = 1 cm

New width = 20 + 1 = 21 cm

✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm

✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100

= (108 - 100)/108 × 100

= 8/108 × 100

≈ 7.4% increase

Jerry and Lino participated in a quiz contest. They scored 46 points altogether. If Jerry scored 18 points, how many points did Lino score?

Write an equation and solve. Let x = Lino's points.

Answers

Answer:

46=18+x

Step-by-step explanation:

x+18=46

-18       -18

   x=28

ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST

Answers

Answer:

option A is the answer hope you find it helpful

What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-down menus to complete the coordinates. Numbers may be used once, more than once, or not at all.

Answers

Answer:

140

Step-by-step explanation:

Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?

write the expression which represents the perimeter of the rectangle

lf x=10m, find the actual length, breadth and area of the rectangle.​

Answers

Answer:  meters. Step-by-step explanation:  Let L be the length of the rectangle.  We have been given that the rectangle has an area of square meters and a width of meters.  Since we know that area of a rectangle is the product of its length and width.  To find the length of our given rectangle we will divide the area of the rectangle by the width of our rectangle.  Let us factor out our numerator by splitting the middle term.  Upon canceling out x-7 from numerator and denominator we will get,  Therefore, the length of our rectangle will be metered.

Which statement best uses this information to explain why the AA criterion can be used to prove ABC~DBE

Answers

Answer:b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

5x³-45x (Factor COMPLETELY)

Answers

Step-by-step explanation:

5x³ - 45x

5x(x² - 9)

Or 5x(x-3)(x+3)

[tex]\tt{} {5x}^{2} - 45x[/tex]

[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]

[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]

can someone help meeee

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?

Answers

Answer:

4.50r + 6.00f ≤ 35.00

Justin plans to spend $20 on sports cards. Regular cards cost $3.50 per pack and foil cards cost $4.50 per pack. Hope this helps

A carpenter has wood planks that are 4 yards, 8 yards, 7 yards, and 3 yards long. what is the mad of these measurements

Answers

Answer:

6

Step-by-step explanation:

what you have to do to find that out is add them all togeather the divide that whole by the amount of numbers you were adding so in this case it would be 3 so you would add 8,7, and 3 to get 18 then divide that by 3 to get 6.

hope this helps

pls mark brainliest

HELP I NEED THIS FOR MY HOMEWORK

Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)​

Answers

Answer:

5.y=5x-10+5x+1

y=10x-9

6.y=2x+12+2x+6

  y=4x+18

7.y=-2x-8-2x+10

 y=-4x+2

8.y=-4x-8-4x-12

  y=-8x-20

30 times 40 equals whatttt

Answers

Answer:

1200 is ur wsener

Step-by-step explanation:

Answer:

1,200 is the result to the problem

A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?

Answers

Answer:

D, 180.

Step-by-step explanation:

2400 divided by 200 is 12, which means 2400 is 12 times 200

Next, times 15 by 12 which is 180.

Abigail's grandmother gave her a square shaped quilt that was made up of 256 small squares. How many squares are on each side of the quilt?​

Answers

Answer:

64

Step-by-step explanation:

you divide 256 four times

What fraction of an hour is 48 minutes

Answers

What fraction of an hour is 48 minutes

Answer:: 0.800

Answer:

4/5

Step-by-step explanation:

Total numbers of minutes in an hour = 60

48/60

4/5 (simplest form)

In 2016, there were about 36 million teenagers (ages 13-17) in the United States. They each sent an average of 850 text messages per month. How many text messages did all of the teenagers in the United States send each month? Express your answer in scientific notation

Answers

Answer:

256

Step-by-step explanation:

Help me Asap Please.
Find the area of the figure.Rounded to the nearest tenth, the area is
_ square meters.

Answers

Answer:

area of the rectangle =8*15=120sq.m

area of semi circle =1/2*π*4*4

=1/2*22/7*4*4=22/7*8=176/7=2.51sq.m

PLZ PLZ PLZ ANSWER!!!!!!

Answers

Answer: it would be B "4.05"

Step-by-step explanation:

2.5 x 1.8 x 0.9 = 4.05

Answer:

4.05 m^3

Step-by-step explanation:

Calculate volume with this formula:

LxWxH (length x width x height)

0.9 x 2.5 x 1.8 = 4.05

Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.

So our answer is 4.05 m^3.

Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3 years at 5.5% interest compounded annually if she did not make any further deposit or withdrawal.

Answers

Answer:

$1456.25

Step-by-step explanation:

Given data

P= $1,250

t= 3 years

r=5.5%

The compound interest expression is given as

A= P(1+r)^t

substitute

A=  1250(1+0.055*3)

A=  1250(1+ 0.165)

A= 1250(1.165)

A= 1456.25

Hence the amount after 3 years is $1456.25

What is the sum of the polynomials given?

Answers

take away the parentheses:

4a^4 - a + 3 + 7a^4 - 12a + 4

combine like terms:

11a^4 - 13a +7

hope this helps!

The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?

Answers

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

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