Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?

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Explanation:

The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.

Subtract off 360 from this until we get to that target

Or a shortcut could be

The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.

Now use the unit circle (see below) to find that

Dividing those two items and simplifying gets us

tan(315) = sin(315)/cos(315) = -1

Then we go from tan(315) = -1 to tan(1755)  = -1

Answer:

Step-by-step explanation:

f(w) = [tex]w^{2}[/tex] + 6w

f(w) = f(-2) = [tex](-2)^{2}[/tex] + 6*(-2) = 4 - 12 = -8

f(w) = f(-1) = [tex](-1)^{2}[/tex] + 6*(-1) = 1 - 6 = -5

f(w) = f(0) = [tex]0^{2}[/tex] + 6*0 = 0 + 0 = 0

f(w) = f(1) = [tex]1^{2}[/tex] + 6*1 = 1 + 6 = 7

Answer:

^^

Step-by-step explanation:

Answer:

Slope: 1

y-intercept: (0, -6)

Answer:

A=(3,6)

B =(9,2)

The distance between AB=√(9-3)^2+(2-6)^2

=3√13

The area of the triangle based on the information given will be 4 units square

It should be noted that the area of a triangle is calculated by using the formula:

= 1/2 × base × height

Therefore, the area of the triangle will be:

= 1/2 × base × height

= 1/2 × 2 × 4

= 4 units²

In conclusion, the area of the triangle given will be 4 units square.

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If the function f(x) is translated at a point (2, 6). Then the function g(x) will be given as g(x) = (x - 2)² + 6.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Function g can be thought of as a translated (shifted) version of f(x) = x².

Then the equation of the function g(x) will be

g(x) = (x - 2)² + 6

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Answer:

Choice B: x = 2, y = 1.

Step-by-step explanation:

Answer:

(x - 1) x - X^2

Hope this helps :)

Answer:

(f.g)(x) = (f×g)(x)

= (x² + 4x - 6) × ( x + 2)

= x^3 + 2x^2 + 4x^2 + 8x - 6x - 12

= x^3 + 6x^2 + 2x -12

Answer:

Carbon dioxide

Step-by-step explanation:

I think it’s carbon dioxide because, it is the most significant greenhouse gas. I also think it’s the carbon dioxide because the question is asking which one it is and I chose carbon dioxide.

Answer:

The answer is:

the first one

second one

:D

Step-by-step explanation:

in this case, any number in the tens place less than five will make the number round down

The polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12. Then the correct option is D.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

According to the fundamental theorem of algebra.

The polynomial function has only exactly 6 roots.

The roots are the value of the variables in the polynomial at which the value of the polynomial is zero.

If the degree of the variable is n then the number of the roots will be n or less than n.

If the number of the roots are 6, then the degree of the variable will be 6 in the polynomial.

Then the polynomial function has exactly 6 roots is f(x) = 7x⁶ + 3x³ + 12.

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Answer:

12

Step-by-step eplanation:

Answer:

What is the question?

Step-by-step explanation:

prime: 1, 2, 3, 5

composite: 4, 6

Beto has 2/6 = 1/3 chance of winning

Amanda has 4/6 = 2/3 chance of winning

Answer:

18.2

Step-by-step explanation:

A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)

18.159

The nearest tenth of 18.159

First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.

So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.

18.159

= 18.2 ( nearest tenth )

Answer:

90 degree angle

Step-by-step explanation:

Answer:

B. Rider used the wrong formula for the total volume.

Step-by-step explanation:

I did the quiz

Answer: B

Step-by-step explanation: I did the quiz, sis, trust me.

Answer:

62 Inches

Step-by-step explanation:

It can be seen from the figure.

[tex]{ab}^{2} = {ac}^{2} + {bc}^{2} [/tex]

Pythagoras

AB= 13

So the perimeter is

[tex](13 + 18) \times 2 = 62[/tex]

what they have in common is that there both Intergers but What's different is that there -1 off

Let the price of an adult ticket is x and a child ticket is y .

from the question ,

[tex]6x + 2y = 124 \: \: ...(i) \\ \\ 3x + 5y = 100 \: \: ...(ii)[/tex]

Multiply 2 in eq (ii)

[tex]6x + 10y = 200 \: \: ...(iii)[/tex]

On adding eq (iii) and (i)

[tex]6x + 10y = 200 \\ \\ 6x + 2y = 124[/tex]

we get ,

[tex]8y = 76 \\ \\ y = \frac{76}{8} \\ \\ y = 9.5[/tex]

putting y in eq (i)

[tex]6x + 2y = 124 \\ \\ 6x + 2 \times 9.5 = 124 \\ \\ 6x + 19 = 124 \\ \\ 6x = 124 - 19 \\ \\ 6x = 105 \\ \\ x = \frac{105}{6} \\ \\ x = 17.5[/tex]

The value of x = 17.5 and y = 9.5

Answer:  

Surface Area: 99.852

Volume: 71.592

Answer:

I'm assuming the x at the end is a variable

9, -4

Step-by-step explanation:

If we replace x with 9, we get 81-36=45 which is 45=45 so 9 is one solution.

If we replace x with -4, we get 16-36=-20 which is -20=20 so -4 is the other solution

So, the solutions are 9 and -4.

Hope this helped you! If there is a mistake in my answer, please tell me and I will correct it as soon as possible.

Answer:

Rate of plane = 250 mph

Rate of wind = 50 mph

Step-by-step explanation:

The quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3 will be 3x² - 15x + 18 = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

Then the quadratic equation whose roots are 2 and 3, and whose leading coefficient is 3.

Then the factor or the quadratic equation will be

(x - 2) and (x - 3)

Then the equation will be

     3(x - 2)(x - 3) = 0

3(x² -2x -3x + 6) = 0

    3(x² - 5x + 6) = 0

   3x² - 15x + 18 = 0

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[tex]n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=9\\ d=-2 \end{cases} \\\\\\ a_n=9+(n-1)(-2)\implies a_n=9-2n+2\implies a_n=11-2n[/tex]

Answer:

No, because there is only one set of congruent angles.

Step-by-step explanation:

I took the instruction, and this was the right answer!

Answer:

D

Step-by-step explanation:

Answer:

I believe it is B

Step-by-step explanation:

Answer:

  (D)  sIn(30°) = 5/x

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between sides and trig functions for a right triangle. Here, the hypotenuse and the side opposite the angle are marked. The relevant relationship is ...

  Sin = Opposite/Hypotenuse

Filling in figure values, we have ...

  sIn(30°) = 5/x