5) Step-by-step solution:
Step 1 of 2
Write the numbers (other than dates) in this statement in scientific notation.
The mass of Pluto, the smallest planet, is 0.0021 times that of Earth; The mass of Jupiter, the largest planet, is 317.83 times that of earth.
The first number is 0.0021.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (0.0021) was small so the exponent will be .
Therefore, the scientific notation is .
Step 2 of 2
The second number is 317.83.
Now move the decimal point to the right of the first nonzero digit and count the number of places it was moved.
The original number (317.83) was large so the exponent will be .
Therefore, the scientific notation is .
6) Simply move the decimal point 16 places to the right of where it currently is.
9.803 moved three times = 9803.
Then just add 13 zeroes (because 16 minus those first three = 13) to 9803, giving you a final result of 98030000000000000. Then if you wanted to make it pretty on your eyes with commas, it would be 98,030,000,000,000,000.
First, we need to solve for sin(67°) = 22/x. Multiply each side by x and divide each side by sin(67°)
x = 22/sin(67°) = 23.9
Use pythagorean theorem to find the last side.
a^2 + 22^2 = 23.9^2
a^2 + 484 = 571.21. Subtract each side by 484
a^2= 87.21. Take the square root of each side.
a = 9.3
x = 23.9 and the other side is 9.3
Answer:
Step-by-step explanation:
There are 11 parts of fruit: 4-strawberry, 3- grape, 2, cherry, 1- apple, 1-orange
4/11 from the entine quantity of fruits- strawberry
3/11-grapes
2/11- cherries
1/11- apples
1/11- oranges } ⇒ the quantity of oranges and apples are equal
The biggest part of the fruit- 4/11 - are strawberries
4/11>3/11>2/11>1/11
the smallest part of the fruit- apples and oranges
Note:xy means x times y and x(y) means the same thing
so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0
squareroot(y-1)+3=y
isolate the squareroot
subtrac 3 from boht sides
squareroot(y-1)=y-3
square both sides (since they are equal, you should be able to square both sides and still make it true)
(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5
0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0
therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work
let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true
y=5
The answer is A) 3.
I hope this helps.