Answer:-2
Step-by-step explanation:
Log3(1/9)
Log(1/9) ➗ Log3
Log(1/3^2) ➗ Log3
Log3^(-2) ➗ Log3
-2Log3 ➗ Log3
-2(Log3 ➗ Log3)
-2
Answer:
8.69 inches
Step-by-step explanation:
4.5C=0.72R
V=πr^2 h
/3
V=π0.72^2 16
/3
V=8.69 Inches
I apologize for the hard to understand step-by-step but the way that the equation is set up is impossible to type out under the limitation. If you have any questions about it, just ask.
<u>Answer:</u>
The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4 is (3, 6, -1)
<u>Solution:</u>
Given, set linear equations are
-x – y – z = -8 ⇒ x + y + z = 8 → (1)
-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)
2x + 2z = 4 ⇒ x + z = 2 → (3)
We have to solve the above given equations using substitution method.
Now take (3), x + z = 2 ⇒ x = 2 – z
So substitute x value in (1)
(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.
Now substitute x and y values in (2)
(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1
Now substitute z value in (3)
(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3
Hence, the solution set of given equations is (3, 6, -1).
Answer:
$764.42
Step-by-step explanation:
The account balance is given by the formula ...
A = P(1 +rt)
where P is the principal invested, r is the annual rate, and t is the number of years. Here, we assume 52 weeks in the year, since the time period is given in weeks.
Filling in the numbers, we have ...
A = $750(1 +0.025(40/52)) = $764.42
Darren's investment will be worth $764.42 at the end of 40 weeks.
C. The graph
The equation y=8x should have a slope of 8. This means that it should go up 8 spaces, every time it moves over by 1. but if you look at the graph you’ll see the slope is 1/8 because it goes up 1 space after moving over 8. If the graph were correct, the x and y values would be swapped.
