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3 years ago

Combine the radicals 9 x-3 x 6 6 x -6 2x -6

Mathematics

2 answers:

Nastasia [14]3 years ago

7 0

Answer:

Step-by-step explanation:

9x - 3x

[When like terms are combined then as per statement they get subtracted]

= 6x (Ans)

aivan3 [116]3 years ago

6 0

The answer is 6x.

hope this helps!

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An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose

Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

$R(t) = \frac{0.7}{1+t^2}$

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

$V(t) = \int_{0}^{180} R(t) dt$

$=\int_{0}^{180} \frac{0.7}{1+t^2} dt$

$=0.7 \int_{0}^{180} \frac{dt}{1+t^2}$

$=0.7[tan^{-1}(t)]_{0}^{180}$

$=0.7(tan^{-1}(180) - tan^{-1} (0))$

$=0.7(89.68)$

= 62.77 million gallons

5 0

3 years ago

What is the value of Z in the equation to Z +7 equals -5

tangare [24]

Answer:

-12

Step-by-step explanation:

The Equation:

z + 7 = -5

Solve for the variable, z by isolating it. Note the equal sign, what you do to one side, you do to the other.

Note the rule PEMDAS.

PEMDAS is the order of operation & =

Parenthesis

Exponents (& roots)

Multiplication

Division

Addition

Subtraction

Isolate the variable. To do so, subtract 7 from both sides:

z + 7 = -5

z + 7 (-7) = -5 (-7)

z = -5 - 7

Simplify:

z = -5 - 7

z = -12

-12 is your value for z.

6 0

3 years ago

Read 2 more answers

a group of hikers park there trail head and hike into the forest to a campsite. The next morning they head out on a hike from th

tiny-mole [99]

Answer: The campers will be $40\ miles$ from their car after 12 hours.

Step-by-step explanation:

<h3> The missing graph is attached.</h3>

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" the y-intercept.

We can pick two points on the line graphed and substitute the coordinates into this formula to find the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

Choosing the points (0,4) and (2,10), we get:

$m=\frac{4-10}{0-2}=3$

We can susbstitute the point (0,4) and the slope into $y=mx+b$ and solve for "b":

$4=3(0)+b\\\\b=4$

Then, the equation of this line is:

$y=3x+4$

Since the distance in miles is represented on the y-axis and the time in hours is represented on the x-axis. we can rewrite the equation as:

$d=3h+4$

Finally, in order to calculate the distance in miles that the campers will be from their car after 12 hours, we need to subsitute $h=12$ into the equation and evaluate. Then we get:

$d=3(12)+4\\\\d=40$

4 0

3 years ago

Please help, I've been trying for an hour and I don't know how to set up this problem.

labwork [276]

Given ratio of the width of Francois's wife's vegetable garden to its length is 5:8.

Let l1,w1 be the length and width of Francois's wife's vegetable garden.

Then $\frac{w1}{l1} = \frac{5}{8}$

Given ratio of the width of the herb garden to its length is 3:5.

Let l2,w2 be the length and width of herb garden.

That is $\frac{w2}{l2} = \frac{3}{5}$

Given that length of the herb garden is same as the width of the vegetable garden.

That is l2=w1 let this common value be x.

So, first ratio is $\frac{x}{l1}=\frac{5}{8}$

l1 = $\frac{8x}{5}$

Second ratio is $\frac{w2}{x} = \frac{3}{5}$

w2 = $\frac{3x}{5}$

perimeter of vegetable garden = 2(l1+w1) = $2(\frac{8x}{5} +x) = 2*\frac{13x}{5} = \frac{26x}{5}$

Perimeter of herb garden = 2(l2+w2) = $2(x+\frac{3x}{5} ) = 2*\frac{8x}{5} =\frac{16x}{5}$

Given that francois has 252ft of fencing material.

That is perimeter of vegetable garden + perimeter of herb garden = 252

$\frac{26x}{5} +\frac{16x}{5} = 252$

$\frac{42x}{5} =252$

$x = \frac{252*5}{42} = 30 feet$

So, $l1 = \frac{8x}{5} = \frac{8*30}{5} = 48 feet$

And $w2 = \frac{3x}{5} = \frac{3*30}{5} = 18 feet$

So dimensions of vegetable garden are 48ft, 30ft.

And dimensions of herb garden are 30ft,18ft.

4 0

3 years ago

Which is the slope of the given graph ? -3 3 1 None of these choices are correct

Xelga [282]

Answer:

Step-by-step explanation:

X1=1

Y1=-2

X2=3

Y2=0

3 - 1/0 - (-2) = 2/2 = 1

8 0

2 years ago