To simplify, you just condense all of the values with the same variable, based on the signs of those values.
In this example,
6y + 5z + 8y - 3z
is the same as
6y + 8y + 5z - 3z
which can be simplified to
14y + 2z
which is the answer to your question.
Hope that helped =)
m<1 + m<2 = 180°
m<3 + m<4 = 180°
Because they are both equal to 180°, you can set them equal to each other.
m<1 + m<2 = m<3 + m<4
Angles 1 and 4 are congruent (equal), so we can subtract them from each side to get:
m<2 = m<3
Hello! The formula for compound interest is P ( 1 + r/n)^nt, where P = principal, r = percentage rate, n = times compounded per year, t = amount of time in years. This can be confusing, so let's take it step-by-step. 5% is the rate. 5% in decimal form is 0.05. Semi-annually means every 6 months. In other words, this is compounded 2 times a year. 0.05/2 is 0.025. 1 + 0.025 is 1.025. We're looking for the amount over 6 years. Now, we multiply n and t together. 2 * 6 = 12. The amount will be compounded 12 times over 6 years, so we raise the decimal to the 12th power. 1.025^12 is 1.34488882425, but don't delete that decimal from your calculator. Now, multiply that decimal by 500. When you do, you get 672.444412123 or 672.44 when rounded to the nearest hundredth. There. Alecia's balance after 6 years is $672.44.
Answer:
D. 154
Step-by-step explanation:
Formula
pi×r^2
r=diameter / 2
14/2=r=7
pi×7^2=154
The formula of a density is
p = M/V
where p is a density, M is a mass and V is a volume.
Given M = 3.4 kg and V = 2,300 mL or 2,300 cm<span>³, therefore
</span>p = 3.4 kg / 2,300 cm³ = 1.48 x 10⁻³ kg/cm³
