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2 years ago

How many inches are there in a mile? ASAP

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

8 0

Answer:

63360 inch = 1 miles.

Step-by-step explanation:

Ainat [17]2 years ago

3 0

Answer:

63360

Step-by-step explanation:

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An open box is to be made from a square piece of cardboard measuring 15 inches on a side by cutting a square from each corner an

vodomira [7]

Answer:

Dimensions are;

2.5 inches height

Base: 10 inches by 10 inches

Max volume; 250 Sq.in

Step-by-step explanation:

Let each side of the square that's cut-off from each corner be represented by x.

This means that the base of the box will be of dimension of the side 15−2x while the height of the box will be x.

Thus;

Volume of box is:

V = (15 − 2x)(15 − 2x)x

V = (15 − 2x)²x

V = (4x² - 60x + 225)x

V = 4x³ - 60x² + 225x

Let's differentiate with respect to x to get;

dV/dx = 12x² - 120x + 225

Maximum value of x is at dV/dx = 0

12x² - 120x + 225 = 0

Using quadratic formula, we arrive at;

x = 2.5 or 7.5

Now, let's find the second derivative of the volume;

d²V/dx² = 24x - 120

Putting x = 2.5 gives;

d²V/dx² = 24(2.5) - 120

d²V/dx² = -60

Thus, V is maximum at x = 2.5, since d²V/dx² is negative

At x = 7.5;

d²V/dx² = 24(7.5) - 120

d²V/dx² = 60

Thus, V is minimum at x = 7.5, since d²V/dx² is negative

Thus,we will use x = 2.5

Maximum volume; V = (15 − 2(2.5))(15 − 2(2.5))(2.5)

V = 10 × 10 × 2.5

V = 250 Sq.inches

Dimensions are;

(15 − 2x) = 15 - 2(2.5) = 10 inches

x = 2.5 inches

6 0

3 years ago

Find two numbers the quotient is between then estimate the quotient 53÷3=

zhannawk [14.2K]

16 & 18
17.6 repeating

7 0

3 years ago

Find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and st

SashulF [63]

Answer:

0.7233

Step-by-step explanation:

We want to find the area between the z-scores z=-0.95 and z=1.25.

We first find the area to the left of each z-score, and subtract the smaller area from the bigger one.

For the area to the left of z=-0.95, we read -0.9 under 5 from the standard normal distribution table.

This gives P(z<-0.95)=0.1711

Similarly the area to the left of z=1.25 is

P(z<1.25)=0.8944

Now the area between the two z-scores is

P(-0.25<z<1.25)=0.8944-0.1711=0.7233

7 0

3 years ago

Raquel has created a program for a robot. The robot travels 10 meters and stops. The program is designed for wheels that are 2.5

Grace [21]

Answer:

Raquel should adjust the number of rotations to 115.81 rotations

Step-by-step explanation:

step 1

Find the circumference of the wheels that are 2.5 cm in diameter

The circumference is equal to

$C=2\pi r$

we have

$r=2.5/2=1.25\ cm$

assume

$\pi =3.14$

substitute

$C=2(3.14) (1.25)$

$C=7.85\ cm$

step 2

Find the number of rotations

Divide 10 meters by the circumference

$10\ m=1,000\ cm$

$1,000/7.85=127.39\ rotations$

step 3

For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance

Find the circumference of the wheels

The circumference is equal to

$C=2\pi r$

we have

$r=2.75/2=1.375\ cm$

assume

$\pi =3.14$

substitute

$C=2(3.14) (1.375)$

$C=8.635\ cm$

step 4

Find the number of rotations

Divide 10 meters by the circumference

$10\ m=1,000\ cm$

$1,000/8.635=115.81\ rotations$

3 0

3 years ago

Is -4 a solution to the equation ?

Novosadov [1.4K]

9514 1404 393

Answer:

Step-by-step explanation:

Put the value where the variable is and see if you get a true statement.

2(-4) -8 = -15

-8 -8 = -15 . . . . . . . false

-4 is <em>not a solution</em> to the equation

3 0

3 years ago

Read 2 more answers