The first thing we are going to do for this case is define variables.
We have then:
x: number of gallons of water
y: total weight
We then have an equation of the form:
Where,
Substituting values:
We choose an ordered pair:
Substituting values:
Rewriting:
Answer:
y = 8.34x + 30
Answer:
A: 43.55
Step-by-step explanation:
Place value can be defined as the numerical value representing a digit owing to its position in a number. Some examples of the various place values used in representing each digit are tenths, hundredths, thousandths, unit, tens, hundreds, thousands etc.
For example, in the number 43.55;
- The place value of 4 is tens.
- The place value of 3 is units.
- The place value of 5 is tenths.
- The place value of 5 is hundredths.
Rounding up to the nearest tenth simply means to have 1 significant figure after the decimal point.
Therefore, 43.55 to the nearest tenth is 43.6
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, then
y = 3x + c ← is the partial equation
To find c substitute (1, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = 3x - 2 ← equation of line
C) 18 because you could get 6 numbers with red, 6 numbers with brown and 6 numbers with yellow.
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
