Answer: x=90
Step-by-step explanation: Okay let's see! Let's solve your equation step-by-step.
x
42
=
15
7
Step 1: Cross-multiply.
x
42
=
15
7
x*(7)=(15)*(42)
7x=630
Step 2: Divide both sides by 7.
7x
7
=
630
7
x=90
Answer:
Given,
ABC is triangle with vertices A(-2,1), B(2,2) and C(6, -2)
Slope of BC(m_1) =
Since AD is perpendicular to BC
let slope of BC be (
).
We have for perpendicular



Now equation of line passing through point A(-2,1) is

y-1=1(x-(-2))
y-1=x+2
y=x+2+1
y=x+3 which is a required equation of the altitude of AD drawn from A to BC.
Answer:
3/3
Step-by-step explanation:
x2 minus x1 over y2 minus y1
Answer:
The sample proportion is 8.4%.
Step-by-step explanation:
The sample proportion f people in the United States who earn more than $75,000 each year is the number of people who reported earning more than $75,000 each year divided by the size of the sample.
The proportion is:

The sample proportion is 8.4%.
Answer:
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms.
Step-by-step explanation:
Half life is the time required for an element to decay into half of its initial size. The supplement has a half life of 4 hours means that it decay to half of its size every 4 hours. Therefore there are 6 stages of division in a day.
i.e
×
×
×
×
×
= 
The amount of the supplement in Niklas' body after the first dose (first day) can be determined by;
=
× 25
= 0.390625 micrograms
He used the supplement daily for 12 days (12th dose), but the amount of the supplement in his body immediately after the 12th dose would be;
amount in his body per day × number of period for complete decay
= 0.390625 × 11
= 4.296875
The amount of the supplement in Niklas' body immediately after the 12th dose is 4.30 micrograms. This is because immediately after the 12th dose, the supplement has not reach its half life.