Simply simplify:
7a³(7a²)-4a^6 ⇒ 49a^6 - 4a^6 ⇒ 45a^6
Hope that helps!
Let the number of coins = X
A nickel is 0.05
A dime is 0.10
A quarter is 0.25
Set up an equation to add all the coins together to equal the total she has:
0.05x + 0.10x + 0.25x = 2.00
Simplify:
0.40x = 2.00
Divide both sides by 0.40
x = 2.00 / 0.40
x = 5
Check:
Nickels = 0.50 x 5 = 0.25
Dimes = 0.10 x 5 = 0.50
Quarters = 0.25 x 5 = 1.25
0.25 + 0.50 + 1.25 = 2.00
She has 5 of each coin.
Answer:
<em>tan 19° = 0.3443</em>
Step-by-step explanation:
<u>Value Of Trigonometric Functions</u>
The value of the tangent of 19° cannot be expressed in exact form, that it, as a function of radicals or known constants as pi.
We need to use a calculator, computer, or similar technology to find the required value. We use a scientific calculator to get:
tan 19° = 0.3443
To the nearest ten-thousandth
$1 = 0.79 euro
So just multiply 0.79 times 522 and you should get 412.38 euros
A) What is the mean of : 18, 22, 14, 30, 26
x = (18 +22+ 14+ 30+ 26)/5 = 22
(b) What is the sum of the squares of the differences between each data value and the
mean: (data point - x)² or (data point - 22)²
(18-22)² = 16
(22-22)² = 0
(14-22)² = 64
(30-22)² = 64
(26-22)² = 16
Sum = 16+0+64+64+16 = 160
(c) What is the standard deviation
s = √[(∑(x-22)²/(n-1)], where x is the data point, 20 the mean and n =5
√[(∑(x-22)² = 160 and n = 5 (5 data points) then s = 160(5-1) = 160/4 = 40
d) 32, 35, 33, 34, and 36
Rewrite it from smaller to greater:
32, 34, 34, 35 36.
We notice that the range is from 32 to 36 is only 4 (36-32), Where as the range of the
1st pumpkins is 30-14 = 16
Since the spread of the 1st one is by far larger than the 2nd, we can conclude that the
standard deviation of the 1st is greater than the second