An icicle drips at a rate that can be represented by the function f(x)= - x^2 + 11x - 18, where 0 < x < 10 and x is the number of hours after the sun has risen. When f(x) is a negative number the icicle is not dripping. Determine the values when the icicle starts and stops dripping.

A.) x = 2 and x = 9

B.) x = -2 and x = 9

C.) x = 2 and x = -9

D.) x = -2 and x = -9

Answer: 2 7/8 divided by 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 7/8 divided by 1/12

Answer:

1/3

Step-by-step explanation:

8/12 - 4 /12=.  4/12 = 1/3. =. .33

Answer:

5.888x10^12

Step-by-step explanation:

First you got to make the number a decimal, but it can't be above 10 or below 1. So, we end up with 5.888000000000. Then, to get rid of all the zeros, we use the x10^12. The exponent is basically how many times the decimal has to move back to the right to get the original number.

Answer:

The solution is attached up.

Answer: [tex]\$3834[/tex]

Step-by-step explanation:

Three years ago Paulo's monthly salary was [tex]\$2783[/tex]

Twelve years from now Paulo's salary will be [tex]\$8038[/tex]

Suppose current salary is [tex]\$ x[/tex]

and  Yearly increment is [tex]\$y[/tex]

So,

[tex]\Rightarrow x-3y=2783\quad \ldots(i)[/tex]

and [tex]\Rightarrow x+12y=8038\quad \ldots(ii)[/tex]

From (i) and (ii) we get

[tex]\Rightarrow 15y=5255[/tex]

[tex]\Rightarrow y=350.33[/tex]

and [tex]x=2783+3\times 350.33[/tex]

[tex]x=3834[/tex]

So, monthly salary this year is [tex]\$3834[/tex]

Answer:

90°

Step-by-step explanation:

All sides of the given quadrilateral are 4 units, that is they are equal. Hence it is a RHOMBUS.

Diagonals of a rhombus bisects each other at right angles (90°).

x = 90°

Answer:

360 degrees

Step-by-step explanation:

The measure of the arc ABC is 230°

In Mathematics, an arc means, a part of a curve or the portion of a circle. The straight line joining the ends of the arc is called the chord of the circle.

Given is a circle we need to find the measure of the arc ABC,

So, according to the properties of a circle,

∠D = 1/2(arc ABC - arc AC)

Arc AC = 360° - arc ABC

Therefore,

50° = 1/2(arc ABC - 360° + arc ABC)

100° = -360° + 2 arc ABC

460° = 2 arc ABC

arc ABC = 230°

Hence the measure of the arc ABC is 230°

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Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

Answer:

3 and 11

Step-by-step explanation:

3 times 11 is 33

11 - 3 is 8

Answer:

less likely

Step-by-step explanation:

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

Answer:

[tex]f^{-1}(x)=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

By making x the subject of the function;

By swapping x and y; we then have;

The inverse function is therefore; f-¹(x) = 2x/(x-1)

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Answer:

3

Step-by-step explanation:

Answer:

i think the answer is 1.2 or 1.7

you first need to add together all of the children and then divide by 6

Answer: 90%

Step-by-step explanation:

When 180 is multiplied by 0.90, representing 90%, you get 162 :) So the item was discounted by 10% and is now 90% of it's initial amount

Answer: The original price was discounted by 10%

Step-by-step explanation:

180-162 =  0.1  

1-0.1= 0.9

0.9 * 100= 90%

100% -10%= 90%

90% * 180= 162

Answer:

14.212 feet

Step-by-step explanation:

Pythagorean Theorem.

sqrt(9^2+11^2) = 14.212

Answer:

A'(3, 1), B'(3, -2), C'(1, -2)

Step-by-step explanation:

A(-1,1), B(-1, -2), C(1, -2)

A(-3, 1), B(-3, -2), C (-1, 2)

A'(3, 1), B'(3, -2), C'(1, -2)

A geometric figure on a coordinate plane with points. The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).

"A geometric figure is intuitively defined as a set of points and lines in space."

"The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines, and more."

We have

A geometric figure on a coordinate plane with points

A = (1, -1)

B = (-1, -2)

C = (1, -2)

The figure is translated left two units and then reflected over the X axis

A drawn figure is attached to the answer

From the figure, we have

Figure is translated left two units

A = (-3 ,1)

B = (-3, -2)

C = (-1, -2)

Then the figure is reflected over x-axis

A = (3, 1)

B = (3,-2)

C = (1, -2)

Hence, The figure is translated left two units and then reflected over the X axis. The ordered pairs of A, B, C are A (3, 1), B (3,-2), C (1, -2).

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Answer:

2m/s

Step-by-step explanation:

Speed=distance/time taken

=14/7

=2m/s

Answer:

Step-by-step explanation:

Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.

To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;

[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]

He should have obtained 1+2i if he hadn't misses the sign

A.)

[tex] \sqrt{5 {x}^{2} } + 15x[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.

Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms

=[tex]\sqrt{(5x*x+5x*3}[/tex]

=[tex]\sqrt{5x^{2} +15x}[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

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Answer:

C

Step-by-step explanation:

the angle will always stay the same, it won't change

but if the dialation is 1/2, then that means that the sides will decrease in size compared to the original length,

(just divide by 2) on each side length to get the answer

Answer:

b

{b}^{2} [/tex]

Answer:

112°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

16x is an exterior angle of the triangle, thus

16x = 7x - 1 + 8x + 8, that is

16x = 15x + 7 ( subtract 15x from both sides )

x = 7

Thus

16x = 16 × 7 = 112

The exterior angle is 112°

Answer:

-9 - J

Step-by-step explanation:

<x2 – x1, y2 – y1>

<a, b> = ai + bj.

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

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Answer:

You had to pay $30.69 after the sales tax factored in.

Step-by-step explanation:

First step is to find 7% of $28.68.

The answer to that is the sales tax, therefore making the sales tax $2.01.

Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.

Answer:

B

Step-by-step explanation:

Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?  

Hope I helped you!

Answer:

4 times greater

Step-by-step explanation:

Prism A

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 5*6+ 6*7+ 5*7)

SA = 2(30+42+35)

SA = 2(107)

SA =214

Prism B

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 10*12+ 12*14+ 10*14)

SA = 2(120+168+140)

SA = 2(428)

SA =856

Robert is not correct

856/214 =4

Prism B is 4 times greater

Answer:

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Step-by-step explanation:

To find the surface area of a rectangular prism, use this formula:

[tex]A=2(wl+hl+hw)[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:

Prism A:

[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]

Prism B:

[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.