Step-by-step explanation:
hope this helps answer is at bottom. :)
Changes made to your input should not affect the solution:
(1): "t0" was replaced by "t^0".
STEP
1
:
dot5
Simplify ————
12
Equation at the end of step
1
:
(dot5)
10000 • ((1 + ——————)60)
12
STEP
2
:
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a fraction to a whole
Rewrite the whole as a fraction using 12 as the denominator :
1 1 • 12
1 = — = ——————
1 12
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
12 + dot5 dot5 + 12
————————— = —————————
12 12
Equation at the end of step
2
:
(dot5 + 12)
10000 • (———————————)60)
12
STEP
3
:
3.1 12 = 22•3
(12)60 = (22•3)60 = 2120 • 360
Equation at the end of step
3
:
(dot5 + 12)60
10000 • —————————————
(2120•360)
STEP
4
:
Dividing exponents :
4.1 24 divided by 2120 = 2(4 - 120) = 2(-116) = 1/2116
Final result :
625 • (dot5 + 12)60
———————————————————
(2116•360)
The angle of depression from D to F measures 40°. If DE = 100 m, find DF. Round your answer to the nearest tenth.
<h3>
Answer: Vertex is (2,2)</h3>
=====================================
Explanation:
The equation
y = -3x^2 + 12x - 10
is in the form
y = ax^2 + bx + c
with a = -3, b = 12, c = -10
Plug the 'a' and 'b' values into the equation below to find the x coordinate of the vertex
h = -b/(2a)
h = -12/(2*(-3))
h = -12/(-6)
h = 2
The x coordinate of the vertex is h = 2, which is then used to find the y coordinate of the vertex
y = -3x^2 + 12x - 10
y = -3(2)^2 + 12(2) - 10
y = -3(4) + 12(2) - 10
y = -12 + 24 - 10
y = 12 - 10
y = 2
The y coordinate of the vertex is k = 2
The vertex is (h,k) = (2,2)
Answer: The value of x is 1
Step-by-step explanation:
10x + 5 = 15
Collect the like terms which in this case are the whole numbers "5" and "15")
10x = 15 - 5
10x = 10
Divide both sides by 10
10x/10 = 10/10
x = 1
Thus, the value of x is 1
Answer:
A. 9/25
Step-by-step explanation:
There are a total of 25 T-shirts, which means that the denominator of the fraction is going to be 25 (which already rules out B and C). In the information they give us, they said that there are 9 red shirts. Therefore, the numerator will be 9. Our complete fraction is 9/25, or A.
I hope this helps! Have a lovely day!! :)
