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2 years ago

The estimated measurements of the objects are shown below.

1 answer:

6 0

The scientific notation is a method that scientists use to easily handle very large numbers or very small numbers. As an example, instead of writing down the value 0.0000000065, we write the value 6.5 x 10-9 in scientific notation. The number of places the decimal point got moved becomes the exponent of the number 10. When the movement is from left to right, the exponent is negative (for very small numbers). When it is right to left, the exponent is positive (for very large numbers).

Therefore writing estimated measurements in scientific notation:

length of a grain of salt : 0.0002 centimeters = 2 x 10-4 centimeters

width of a key ring : 0.02 centimeters = 2 x 10-2 centimeters

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HELP ME IM SO CONFUSED

givi [52]

Answer:

1) 4812 students
2) 763 pounds
3) $30906.76

Step-by-step explanation:

Initial number = 2988
Rate of increase = 10%

Number of students after 6 years:

$a_6 = 2988(1+0.1)^{6-1} = 4812$

Initial number = 1200
Rate of decrease = 14%

Amount of gold after 4 years:

$a_4=1200(1-0.14)^3 = 763$

Initial number = 28000
Rate of increase = 2.5%

Salary after n years:

$a_n=28000(1+0.025)^{n-1} = 28000*1.025^{n-1}$

Salary in the 5th year:

$a_5=28000*1.025^4 = 30906.76$

6 0

2 years ago

Read 2 more answers

A palm tree casts a shadow that is 28 feet long. A 6 foot sign casts a shadow that is 8 feet long. How tall is the palm tree? Se

alukav5142 [94]

Answer:

Step-by-step explanation:

28/x=8/6

oopsie if im wrong

4 0

3 years ago

Last one for the class...

tigry1 [53]

Hope this helps!

Sorry the writing is really bad looking its hard to write on a laptop.

5 0

2 years ago

Find the missing side lengths leave your answer as a racials simplest form

Aleksandr-060686 [28]

Answer:

m= $7\sqrt3$

n=7

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is $\frac{a}{2}$ , and the leg opposite from the 60 degree angle is $\frac{a\sqrt3}{2}$

In this case, a=14, n= $\frac{a}{2}$ , and m= $\frac{a\sqrt3}{2}$

Now substitute the value of a into the formulas to find n and m to find the lengths of those sides

So that means that n= $\frac{14}{2}$ , which is equal to 7

And m= $\frac{14\sqrt3}{2}$ , which simplified, is equal to $7\sqrt3$

Hope this helps!

7 0

3 years ago

The time Louis spends commuting to the gym can be represented by two expressions:

kakasveta [241]

Answer:

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

Step-by-step explanation:

Given that the time Louis spends commuting to the gym can be represented by two expressions:

Time to gym: $2x-6y\hfill (1)$

Time from gym: $6x-10y\hfill (2)$

To find the expression that represents the total time Louis spends commuting to and from the gym each day :

The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym and Time from gym

Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y

=8x-16y

=8(x-2y)

Therefore Total time Louis spends commuting to and from the gym each day is 8(x-2y)

The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)

5 0

3 years ago

Read 2 more answers