Answer:
Seven is not an irrational number
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello:
the equation is : y = ax+b
the slope is a : a×(2) = -1......( perpendicular to a line with a slope of 2 for : y=2x+1)
a =-1/2 y=(-1/2)x+b
the line that passes through (6, 2) : 2 = (-1/2)(6)+b
b = 5
the equation is : y = (-1/2)x+5
It will be 5 because 4^2+3^2= 16+9=25 and then square root of 25=5
Answer:
Tiffany has 13 dimes and 4 nickels.
Step-by-step explanation:
To solve this problem, you will need to write a systems of equations, n will be the number of nickels and d will be the number of dimes.
n+d=17 This means that the number of nickels plus the number of dimes is equal to 17.
5n+10d=150, This means that for each nickel, there is 5 cents and for each dime, there is 10 cents. The equation is equal to 150 cent because the coins are worth 150 cents.
Next, solve the system:
n+d=17
5n+10d=150 First simplify the second equation by dividing it all by 5.
n+d=17
n+2d=30, Next, isolate n to use substitution on the system.
n=17-d
n=30-2d, Substitute n to solve for d
17-d=30-2d, Solve for d
d=13, this means that there are 13 dimes, plug in the d value in either of the equations to find n.
n+(13)=17
n=4, There are 4 nickles
Answer:
Answer:
A) 1.3×10^37 ergs
B) 1.435×10^3 mm
Step-by-step explanation:
A) The amount of energy will be the product of the energy rate and time:
(3.9×10^33 ergs/s)×(3.25×10^3 s) =12.675×10^(33+3) ergs
= 1.2675×10^(1+36) ergs
= 1.2675×10^37 ergs ≈ 1.3×10^37 ergs
The mantissa of the result is the product 3.9×3.25, adjusted to have one digit left of the decimal point. The exponent of the result is the sum of the exponents of the factors, adjusted by 1 to match the adjustment in the mantissa.
The final value should be rounded to 2 significant figures, reflecting the precision of the sun's energy production.
__
B) A millimeter is a small fraction of an inch. 10^-3 mm is a small fraction of the width of a human hair, so 1.435×10^-3 mm is not a reasonable estimate of the distance between railroad tracks.
On the other hand, 1.435×10^3 mm is 1.435 m, almost 56.5 inches. This is a much more reasonable measurement of the distance between railroad rails.
1.435×10^3 mm is more reasonable
Step-by-step explanation:
