Answer:
a) 1.59967 * 10 ^-12
b) 7.52711497
c) 1.590778098 * 10^-1
Step-by-step explanation:
a= 3.47 x 10^-6,
b=4.61 x 10^-7,
c=5.52 x 10^-7
a) a*b = 3.47 x 10^-6* 4.61 x 10^-7
We multiply the numbers out front and add the exponents
(3.47*4.61) * 10^(-6+-7)
15.9967 * 10^-13
But this is not correct scientific notation, we need 1 number in front of the decimal. Move the decimal 1 place to the left and add 1 to the exponent
1.59967 * 10^(-13+1)
1.59967 * 10 ^-12
b) a/b = 3.47 x 10^-6/ 4.61 x 10^-7
We divide the numbers out front and subtract the exponents
(3.47/4.61) * 10^(-6- -7)
(3.47/4.61) * 10^(-6+7)
.752711497* 10^1
But this is not correct scientific notation, we need 1 number in front of the decimal. Move the decimal 1 place to the right and subtract 1 from the exponent
7.52711497* 10^1-1
7.52711497
c) c/a = 5.52 x 10^-7/3.47 x 10^-6
We divide the numbers out front and subtract the exponents
(5.52/3.47) * 10^(-7- -6)
(5.52/3.47) * 10^(-7+6)
1.590778098 * 10^-1
I can help you only with #2.
Area= l*w
Area=(l+3)*w
Area= 130
Let's try 10 and 13.
Is the length 3 greater than its width? YES
Does it multiply to 130? YES
LENGTH= 13 CM
WIDTH=10 CM
cHECK=
13*10=130
Answer:
y = 4x - 8
Step-by-step explanation:
(-1, -12) & (4, 8)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(8 - (-12)) / (4 - (-1))
Simplify the parentheses.
= (8 + 12) / (4 + 1)
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (4, 8). Plug in the x and y values into the x and y of the standard equation.
8 = 4(4) + b
To find b, multiply the slope and the input of x(4)
8 = 16 + b
Now, subtract 16 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 4x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (-1, -12).
y = 4x - 8
-12 = 4(-1) - 8
-12 = -4 - 8
- 12 = -12
Your equation is correct.
Hope this helps!
Answer:
x=−5/2 y+ 3/2
Step-by-step explanation:
Let's solve for x.
2x+5y=3
Step 1: Add -5y to both sides.
2x+5y+−5y=3+−5y
2x=−5y+3
Step 2: Divide both sides by 2.
2x/2
=
−5y+3
2x=
−5y+ 3/2
Answer:
x=−5/2 y+ 3/2
Answer:
Step-by-step explanation:
The law of exponents says that when the base is same in multiplication, add the exponents.
The answer is 2 to the power of 9.
