The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.

The cost of the tomato sauce for one potion given the cost per ounce is $1.30.

Multiplication is the process of determining the production of more than one number. It is an example of a mathematical operation.

In order to determine the answer, multiply the cost per ounce by the total ounces needed for one portion.

$0.37 x 3.5 = $1.30

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Answer:

8/15

Step-by-step explanation:

Since this is a right triangle

tan C = opp side / adjacent side

tan C = 8/15

Answer:

- 0.25

Step-by-step explanation:

Sine -1/4 is a fraction, you can think of it as quarters in this case. there are 4 quarters in a dollar. 1/4 = 25/100.  

s(x) is continuous and has a horizontal asymptote at y = -9

We know that we have a function r(x) that has a horizontal asymptote at y = -8

Then, what can we say about the function s(x) = r(x + 2) - 1 ?

Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.

So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.

So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.

Then is easy to conclude that:

r(x + 2) also has a horizontal asymptote at y = -8

And our function is:

s(x) = r(x + 2) - 1

So we are subtracting one, then that horizontal asymptote will be at:

y = -8 - 1 = -9

The function s(x) has a horizontal asymptote at y = -9

And because r(x) is continuous, then:

s(x) = r(x + 2) - 1

is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)

Then the correct option is D.

"s(x) is continuous and has a horizontal asymptote at y = -9"

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Answer:

9999 is the largest 4-digit number and can be expressed as 3 × 3 × 11 × 101.

Step-by-step explanation:

Answer:

g(2)=1

Step-by-step explanation:

We need to use the second definition of the function since x=2

g(2) = 2^3 -9(2)^2 +27(2) -25

      = 8-9(4) +54 -25

     = 8-36+54-25

     = 1

Let n be the smallest of the three numbers. Then

n + (n + 1) + (n + 2) = 5 ((n + 1) - 22)

Solve for n :

3n + 3 = 5 (n - 21)

3n + 3 = 5n - 105

2n = 108

n = 54

Then the three numbers are 54, 55, and 56.

Answer:

5

Step-by-step explanation:

the absolute value of a number is its distance from zero on a number line. so the absolute value of 5 is 5.

Answer:

5

Step-by-step explanation:

because line PF DIVIDED LINE BPA INTO TWO EQUAL HALF THEREFORE LINE BP IS EQUAL TO LINE AB WHICH IS EQUAL TO 5

The required value of the PV is 12 in the triangle DEF where p is the incenter.

Given; Point P is the incenter of ΔDEF. Point P is the point of concurrency of the angle bisector. PV to be determined.

The incenter of a triangle is the intersection point of the internal angle bisectors of the triangle.

In expressions, it can be clarified as the point where the internal angle bisectors of the triangle and perpendicular distance from this point to any of the sides of triangle is the same.

Since in the triangle FGH, P is the incenter and PW, PV,PX is perpendicular distance to the sides HF, GF and GH respectively.

From image given,

PW = 12

So by the property of the incenter, perpendicular distance from this point to any of the sides of triangle is the same.

PW = PV

PV = 12

Therefore, the required value of the PV is 12 in triangle DEF where p is the incenter.

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Answer:

f(x) = 3.33x - 7

Step-by-step explanation:

We are suppposed to write the slope intercept form of the line . The slope intercept form of the line is ,

[tex]\rm\implies y = mx + c [/tex]

where ,

Here we can see that the line is passing through (0,-7) . Therefore ,

[tex]\rm\implies y- intercept = -7[/tex]

Also we can see that the line is passing through (2.1,0) . Therefore we can find the slope as ,

[tex]\rm\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\rm\implies Slope =\dfrac{ -7-0}{0-2.1}\\\\\rm\implies \bf Slope = 3.33 [/tex]

Using Slope Intercept Form :-

[tex]\rm\implies y = mx + c \\\\\rm\implies y = 3.33x + (-7) \\\\\rm\implies\underline{\boxed{\rm\blue{f(x) = 3.33x - 7 }}}[/tex]

Answer:

Area of the rectangular trench = 1 square meter

Step-by-step explanation:

length of the garden = 2 1/2 m width of the garden = 2 m

length of both garden and trench = 3 1/2 m

width of both garden and trench = 3m

Length of the trench = Difference in length

= 3 1/2 m - 2 1/2 m

= 7/2 - 5/2

= (7 - 5) / 2

= 2/2

= 1 m

Length of the trench = 1 m

Width of the trench = difference in width

= 3 m - 2 m

= 1 m

Width of the trench = 1 m

Area of the rectangular trench = length × width

= 1 m × 1 m

= 1 m²

Or

1 square meter

Area of the rectangular trench = 1 square meter

Answer:

1st,2nd,3rd, and 5th option

Step-by-step explanation:

Let convert the intergers into radical numbers

[tex] \sqrt{7} > \sqrt{4} [/tex]

[tex] \sqrt{7} < \sqrt{49} [/tex]

[tex] \sqrt{7} < \sqrt{8} [/tex]

[tex] \sqrt{8 } < \sqrt{4} [/tex]

[tex] \sqrt{8} < \sqrt{64} [/tex]

As radical numbers approaches, positive infinity, the answer of the radical gets bigger. So using this explanation,

The first option, Second Option, Third Option, and Fifth Option are true.

Answer:

A, B, C, E

Step-by-step explanation:

Did on edg.  its right

Answer:

x = 13.75

Step-by-step explanation:

a right-angled triangle.

so, we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90 degree angle).

so, in our case

17² = 10² + x²

289 = 100 + x²

189 = x²

x = 13.75

Answer:

6x+6y-5 distributive property

Step-by-step explanation:

6(x+y)-5

Distribute using the distributive property

6x+6y-5

Answer:

Step-by-step explanation:

the answer is a)

Answer:

The system has one solution,

Both lines have the same y-intercept,

The solution is the intersection of the 2 lines.

Step-by-step explanation:

[tex] - \frac{2}{5} [/tex]

Answer:

12 miles

Step-by-step explanation:

1/3 of an hour = 20 minutes = 4 miles

1 minute = 4/20 miles

60 minutes = 4/20 x 60 miles

                   = 4 x 3 miles

                   = 12 miles

60 minutes = 1 hour

=> 1 hour = 12 miles

Jacks unit rate is 12 miles/hr

Answer:

12

Step-by-step explanation:

There are two ways of doing this problem. I think the easiest way is to use a decimal in the denominator and round

4/0.333333333 = 12.000000001

The answer is obviously meant to be 12.

The other way is more sophisticated, but more accurate.

4/1 // 1/3               This is a 4 tier fraction. The rule is to invert the denominator (turn the bottom fraction upside down) and multiply.

4/1 * 3/1 = 12

The first method is easier to understand. The second is more accurate and more useful for physics.

Answer:

The answer to this would be B.) 4.7 cm

Step-by-step explanation:

Arch = (Angle/360)(2[tex]\pi[/tex]r)

= (45/360)(2[tex]\pi[/tex]6)

= (0.125)(12[tex]\pi[/tex])

=1.5[tex]\pi[/tex]

≈4.71cm (assuming [tex]\pi[/tex] = 3.14)

Since an arch of a circle is just part of the circumference, you just need to multiply the circumference by the measure of the arch's angle divided by 360 (the angle measure of a circle).

Answer:

the real answer is

2X/19

Answer:

-7/5

Step-by-step explanation:

I think let me know

Answer:

7/-5  or -7/5

Step-by-step explanation:

This shall be quite an easy problem, I shall be doubting that this is high school, however, I am happy to aid :)

We shall begin by labeling the points given to us to prepare for inputting the values in the slope formula

(3,4).     (8,-3)

x1,y1     x2,y2

Slope Formula:

y1 - y2

x1 - x2

Inputting the values:

4 - (-3)

3 - 8

Solve:

7

-5

The slope of the line passing through the points (3,4) and (8,-3) shall be 7/-5 or -7/5 negatives shall go both ways of fractions

Answer:

false

Step-by-step explanation:

If it was at least 2, it would show x>= 2 which includes 2. However, that question doesn't include 2 so if it is true, it would have said "X is greater than 2"

Answer: False

Step-by-step explanation:  When x is at least 2, x would be greater than or equal to 2.  X cannot be less than 2.  So, it should be x >= 2.

Hope this helped.

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

I get no solution also (the answer is imaginary).

Answer:

676,131

Step-by-step explanation:

L.C.M of 75,125 and 225,

=>676,125

Leaves a remainder 6 means,

=>676,125 + 6

=>676,131

That means,

When you divide 676,131 by 75,125 or 225,

You get remainder 6 .

That is why we add 6 to the L.C.M

Answer:

The 2nd one is 3x+1

The 3rd answer is x+3

Step-by-step explanation:

Given g(x)=4x-1 and f(x)=x-2

Subtracting both

4x-1-(x-2)=4x-1-x+2=x(4-1)+(2-1)=3x+1

The next one is 3x+1-(2x-2)=3x+1-2x+2=x+3

Answer:

Step-by-step explanation:

For this question they are asking you to find y when x is {2, 4, and 6}

That means you need to plug 2,4, and 6 into the equation and solve.

For example:

f(x) = 5x - 4

f(2) = 5(2) - 4

f(2) = 10 - 4

f(2) = 6

f(x) = 5x - 4

f(4) = 5(4) -4

f(4) = 20 - 4

f(4) = 16

f(x) = 5x - 4

f(6) = 5(6) - 4

f(6) = 30 - 4

f(6) = 26

Answer:

6,16,26 is the answer

Step-by-step explanation:

Answer: A

Step-by-step explanation:

(22)(21)=(14)(33)

The average rate of change is the same as the slope. Even though this graph is a parabola, we still use the slope formula with the corresponding points. Had the question asked for the instantaneous rate of change, we would have needed to find a derivative.

Slope formula: (y2 - y1) / (x2 - x1)

Point 1: (0,4)

Point 2: (2,8)

(8 - 4) / (2 - 0)

4 / 2

2

The average rate of change from x = 0 to x = 2 is 2.

Hope this helps!