20 points

Mathematics

2 answers:

katrin2010 [14]3 years ago

7 0

It’ll be 7/12 hours to fill the tank

g100num [7]3 years ago

4 0

Answer:

the answer is 7/12 hours

Step-by-step explanation:

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create a linear function f(x), whose graph has the given slope that meets the given condition. slope of -7, f(-5)=2

sergejj [24]

Our goal is to fit the given information into the slope-intercept form.
y=mx+b

We can place the slope in 'm.'
y= -7x+b

Then, input the values for the x and y.
2= -7(-5)+b
2=35+b
b=2-35
b= -33

'b' is the intercept, so now that we know that, we can plug in all the values and find our final equation.

y= -7x -33

8 0

3 years ago

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

Aleonysh [2.5K]

Find all polar coordinates of point p where p = ordered pair 5 comma pi divided by 3.

The polar coordinate of any point can be written as:

(r, θ) = (r, θ + 2nπ) --> when positive

(r, θ) = [ - r, θ + (2n + 1)π ] --> when negative

where n is any integer.

The polar coordinates of this given point P is: P = (r, θ) = (5, π/3).

When the value of r is positive, the polar coordinate is written as P= (5, π/3) = (5, π/3 + 2nπ)

where n is any integer.

When the value of r is negative, the polar coordinate is written as P = (5, π/3) = [ - 5, π/3 + (2n + 1)π] where n is any integer.

Therefore all polar coordinates of point P are (5, π/3 + 2nπ) and [ - 5, π/3 + (2n + 1)π ].

7 0

3 years ago

What is the range of the absolute value function below?

Rashid [163]

answer: f(x)<4

I really hope that heped

6 0

3 years ago

Read 2 more answers

Convert base 10 273 to a base 12

Margaret [11]

The highest power of 12 that divides 273 (with remainder) is $12^2=144$ , and dividing gives

$273=1(144)+129$

Divide the remainder term by the next highest power of 12, $12^1=12$ .

$129=10(12)+9$

So $273_{10}=1a9_{12}$ , since

$273=1\cdot144+10\cdot12+9\cdot1=1\cdot12^2+10\cdot12^1+9\cdot12^0$