Let the height of the rectangle = h
2b + 2h = 100
2(38) + 2h = 100
2h = 100 - 76
h = 12mm
area of rectangle = base x height
= 38 x 12
= 456mm²
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
NO IM LATE IM SO SORRY IT B
Step-by-step explanation:
u take the fox over to the other side, then the chicken feed then the chicken.
Answer:
c. the biology test
Step-by-step explanation:
To answer this problem we need to calculate the z-score of both tests, using the formula:
z = (x - μ) / σ
Where x is Sue's score, μ is the mean, and σ is the standard deviation.
- For the <u>biology test</u>, the z-score is:
z = (76 - 70) / 7 = 6/7 = 0.857
- For the <u>math test</u>, the z-score is:
z = (76 - 75) / 10 = 1/10 = 0.100
Because the z-score for the biology test is greater than the z-score for the math test, Sue did better in the biology test, in comparison to the rest of the class.
