4,750 mm

Equation with an exponent 4.75 x 10^{3}10
3
= 4,750

First, it's important to know that there are 1,000 millimeters in 1 meter. Second, it's important to know that 10^{3}10
3
is the same as 1,000. In order to find out how many millimeters are in 4.75 meters, one must multiply 4.75 by 1,000.

Further Explanation

Meters

A meter is a unit of metric measurement. Track and Field events use the metric system because it is a universal unit of measurement. Inches and feet are not units used all over the world. The Olympic Games use the metric system so this is the system that is universally adopted throughout the world for many sporting events, including track and field. Sports that are more commonly attributed to the USA and not an Olympic event often uses the US system. An example is football. The field is measured in yards instead of meters.

Millimeters

The prefix milli- means 1,000. Often it is used to denote a thousandth unit of measurement in the metric system. This is a useful item to know because it can be applied to many different math terms such as millimeters or milliliters.

Exponents

An exponent is the amount of times a number is multiplied to itself. For example 4^{2}4
2
is the same as 4 x 4 = 16. This is a faster way to write repeated multiplication.

Remember multiplication is a faster way to write repeated addition! Exponents are a faster way to write repeated multiplication.

Answer Details

Subject: Math

Level: Middle School

Topic: Exponents

Keywords

exponents, metric system, meters, millimeters

Learn More

More on Metric Systems:

Metric Conversions:

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation:

160 cm

step-by-step explanation:

you have to add all the sides together

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!