Answer:
1167 of them are girls in the first situation.
1052 of them are boys in the second situation.
Step-by-step explanation:
Since there are 2723 students at the school and 4/7 of them are boys, the number of boys:
→ 2723 x = 1556
The number of the girls = Total number of students - The number of boys
→ 2723 - 1556 = 1167
Since there are 2367 students at the school and 5/9 of them are girls, the number of girls
→ 2367 x = 1315
The number of the boys = Total number of students - The number of girls
→ 2367 - 1315 = 1052
Answer:
y = - x² - 4x - 9
Step-by-step explanation:
Given
y = - (x + 2)² - 5 ← expand (x + 2)² using FOIL
= - (x² + 4x + 4) - 5 ← distribute parenthesis by - 1
= - x² - 4x - 4 - 5 ← collect like terms
= - x² - 4x - 9 ← in standard form
293/12 is 24 and a lot of numbers. I think it is 24.4166667.
Answer:
Step-by-step explanation:
[Most of the work here comes from manipulating the trig to make the term (integrand) integrable.]
Recall that we can express the squared trig functions in terms of cos(2x). That is,
And so inverting these,
.
Multiply them together to obtain an equivalent expression for sin^2(x)cos^2(x) in terms of cos(2x).
Notice we have cos^2(2x) in the integrand now. We've made it worse! Let's try plugging back in to the first identity for cos^2(2x).
So then,
This is now integrable (phew),
Answer:
profit 40 dollars
Step-by-step explanation: