These are 3 questions and 3 answers.
1) Question 18
Answer: 3
Explanation:
i) Equation given: 3x - y = - 4
ii) Transform to slope-intercept form: y = mx + b, where m is the slope.
y = 3x + 4
iii) Then, the slope is m = 3.
2) Question 19
Answer:
17 horizontal layers
43 bricks are left
Explanation:
i) Data:
number of bricks: 5500
number of bricks per horizontal layer: 321
ii) Calculations:
Divide the number of bricks by the number of bricks per horizontal layer: you need both the quotient and the remainder.
5500 ÷ 321 = 17 and 43 are left.
3) Question 20
Answer: indefinite
Explanation:
The line is vertical.
All the vertical lines have indefinite slopes.
That is because the slope is given by:
slope = change in y / change in x.
But x is constant, which means that the change in x is zero. And, since the division by zero is not defined, the slope is not indefinite.
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200
I want to say 4 but that doesn’t make any more sense than the rest of the options
m would need to equal 2/6 for the answer to be correct bc of pemdas
for 2. m is 9/6 which isn’t the bc 2/6 you need
for 4. m is 3/6 which u i s closer than 2 but still not right
for 1. m is 0 which is definitely not the right answer
and for 3. m is 2 which is not the same thing as 2/6
i wish i could help more but this all i got
Don’t have a calculator but it’s 6.75 times 3
You have to do 8 divided by 3 which equals 2.6 yards