All categories

3 years ago

What is 6829 km expressed in scientific notation?

Mathematics

2 answers:

Hunter-Best [27]3 years ago

6 0

Answer:

$6.829 \cdot 10^3$

Step-by-step explanation:

6829 km expressed in scientific notation

To represent a number in scientific notation we move the decimal point after the first number.

We need to get decimal point after 6

All whole number have a decimal point at the end

6829.

Move the decimal point 3 units to the left

when we move decimal point 3 units to the left we multiply by 10^3

$6.829 \cdot 10^3$ is in scientific notation

Serggg [28]3 years ago

4 0

Move the decimal until there is 1 whole number

6.829

3 units

so 6.829 * 10^3

You might be interested in

A pen is being built that is 10 feet long and 20 feet wide. How much fencing material will be ne

schepotkina [342]

I think its perimeter so you do 10x2=20 and 20x2=40 and add 20+40 to get 60 so the answer is 60 cause it says "fencing" which is the outer border

therefore answer is 60 feet

7 0

3 years ago

Read 2 more answers

A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

a) Neither will need repair:

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

b) Both will need repair:

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

c) At least one car will need repair

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

3 years ago

Someone please help me with this !!!

ser-zykov [4K]

It is the first one, so where it is marked is already correct

7 0

3 years ago

Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

How do I do this? I really need help

dimulka [17.4K]

If you want to find the diameter of a circle multiply the radius by 2
Dh-2

4 0

3 years ago

Read 2 more answers