Answer:
5. 
6. 
Step-by-step explanation:
5. 
6. 
Answer:
Answer 1:
2,147,616
Answer 2:
5,145,330
Answer 3:
3,758,328
Answer 4:
8,157,958
Step-by-step explanation:
These are all correct i got 10/10.
Answer:
Range A = 386ft
Range B = 427ft
B has the larger range.
Explanation:
To find the range, find the difference between the minimum and maximum depths for each submarine. Remember that your answer will be positive.
Sub A:
-146ft - (-532ft) = 386 ft
Sub B:
-194ft - (-621ft) = 427 ft
Submarine B has a larger range.
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:
Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t
Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0
Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles
So after 70 min's of driving, Dale will be 36.5 miles from his destination.
Step-by-step explanation:
Let the length be x
7% of x = 200ft
7/100 × x = 200
7x/100 = 200
7x = 200 × 100
7x = 20000
x = 20000/7
x = 2,857.14
