Answer:
20 m/s
Step-by-step explanation:
Distance = rate * time
400 m = rate * 20 seconds
Divide each side by 20 seconds
400m/ 20 seconds = rate
20 m/second = rate
Answering is 20:
Step-by-step explanation:
Because it takes her 5 min for a half of mile so add it up and you get 20
Answer:
9x^4-2x^2+7x-8x^3+x^5-4. 9x4−2x2+7x−8x3+x5−4 9 x 4 - 2 x 2 + 7 x - 8 x 3 + x 5 - 4.
Step-by-step explanation: just do this 9x^4-2x^2+7x-8x^3+x^5-4. 9x4−2x2+7x−8x3+x5−4 9 x 4 - 2 x 2 + 7 x - 8 x 3 + x 5 - 4.
Hi there! The answer is y = -3x - 21
Let's set up the equation of the line step by step! First we need to know that we need to set up an equation in slope-intercept form. We get the following:
y = ax + b.
a represents the slope of the line.
b represents the intercept with the y-axis.
Since our new line is parallel to y = -3x + 1, both lines have the same slope. Therefore the slope of our line, which is represented by a, is -3.
y = -3x + b.
We also know that this line goes through the point (-5, -6) and therefore we can plug in these coordinates into our formula.
-6 = -3 × -5 + b
Simplify
-6 = 15 + b
Subtract 15
-21 = b
Switch sides
b = -21
Hence, y = -3x - 21
~ Hope this helps you!
Answer:
<em>{9,19,39,79}</em>
Step-by-step explanation:
<u>Recursive Sequences</u>
The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:
f(n) = 2f(n-1)+1
f(1) = 4
To find the first four terms of the sequence, we set n to the values {2,3,4,5}
f(2) = 2f(1)+1
Since f(1)=4:
f(2) = 2*4+1
f(2) = 9
f(3) = 2f(2)+1
Since f(2)=9:
f(3) = 2*9+1
f(3) = 19
f(4) = 2f(3)+1
Since f(3)=19:
f(4) = 2*19+1
f(4) = 39
f(5) = 2f(4)+1
Since f(4)=39:
f(5) = 2*39+1
f(5) = 79