Donna plans to watch 3 movies each month. Write an equation to represent the total number of movieロ%3Dロ음Х?

Answer:

p(x) = A(x - 4i)(x + 4i)(x - 3)(x + 3), with A = 1.

it matches

Answer:

2/4%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

as x is bigger than 0in which x is maximum and 0 is minumum

Answer:

All cells are surrounded by cell membrane that controls the materials that move in and out of the cell :3

Step-by-step explanation:

:3

Answer: cell membrane

Step-by-step

explanation: Every cell in the body is enclosed by a cell (Plasma) membrane. The cell membrane separates the material outside the cell, extracellular, from the material inside the cell, intracellular. It maintains the integrity of a cell and controls passage of materials into and out of the cell.

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Password

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

El sistema de notación conocido como "cis" resume los números complejos en función de su magnitud y dirección sin necesidad de usar funciones trascendentes. En esta pregunta debemos transformar un número complejo en notación cis a notación rectangular, cuya formula es mostrada abajo:

r · cis θ = r · cos θ + i r · sin θ

Donde:

En consecuencia, tenemos que el número complejo en notación cis es igual a:

z = 3 · cos (5π / 6) + i 3 · sin (5π / 6)

z = - 3√3 / 2 + i 3 / 2

El número complejo 3 · cis(5π / 6) en forma rectangular es - 3√3 / 2 + i 3 / 2.

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Answer:

(2,7) is not a solution to the given system of equations.

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.

Answer:

(4×3)-(4×3)+(4×4×4)

12-12+64

64

Answer: 3

Step-by-step explanation:

4(3) - 4(3) + 3

\/ \/

12 - 12 + 3

0 + 3 = 3

Answer:

Ben and Susan will be 340 miles apart

Step by Step Solution

Step 1: We plot the problem on a graph to visualize the problem

Step 2: We notice that the problem creates a right triangle with the distance Ben and Susan travel as the legs of the right triangle

Step 3: We can use the Pythagorean Theorem: a²+b²=c² to solve the distance between Ben and Susan

Step 4: We enter the numbers into the formula

a² + b² = c²

300² + 160² = c²

90000 + 25600 = c²

115600 = c² *square root both sides

c = 340

Therefore Ben and Susan are 340 miles apart

Ben and Susan  are apart by 340 miles.

After drawing diagram according to question, it is observed that a right angle triangle is formed.

The distance between Ben and Susan is represented by Hypotenuse of right angle triangle shown in attached diagram.

Applying Pythagoras theorem in right triangle shown in attached diagram.

  Distance between Ben and Susan =  

                   \(\sqrt{(300)^{2}+(160)^{2} } =\sqrt{90000+25600}=\sqrt{115600} =340 miles.\)

Therefore, Ben and Susan  are apart by 340 miles.

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Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

(i) x ≤ 1

(ii) ℝ except 0, -1

(iii) x > -1

(iv) ℝ except π/2 + nπ, n ∈ ℤ

Step-by-step explanation:

(i) The number inside a square root must be positive or zero to give the expression a real value. Therefore, to solve for the domain of the function, we can set the value inside the square root greater or equal to 0, then solve for x:

\(1-x \ge 0\)

\(1 \ge x\)

\(\boxed{x \le 1}\)

(ii) The denominator of a fraction cannot be zero, or else the fraction is undefined. Therefore, we can solve for the values of x that are NOT in the domain of the function by setting the expression in the denominator to 0, then solving for x.

\(0 = x^2+x\)

\(0 = x(x + 1)\)

\(x = 0\)     OR     \(x = -1\)

So, the domain of the function is:

\(R \text{ except } 0, -1\)

(ℝ stands for "all real numbers")

(iii) We know that the value inside a logarithmic function must be positive, or else the expression is undefined. So, we can set the value inside the log greater than 0 and solve for x:

\(x+ 1 > 0\)

\(\boxed{x > -1}\)

(iv) The domain of the trigonometric function tangent is all real numbers, except multiples of π/2, when the denominator of the value it outputs is zero.

\(\boxed{R \text{ except } \frac{\pi}2 + n\pi} \ \text{where} \ \text{n} \in Z\)

(ℤ stands for "all integers")

Answer:

(i)  x ≤ 1

(ii)  All real numbers except x = 0 and x = -1.

(iii)  x > -1

(iv)  All real numbers except x = π/2 + πn, where n is an integer.

Step-by-step explanation:

The domain of a function is the set of all possible input values (x-values).

\(\hrulefill\)

\(\textsf{(i)} \quad f(x)=\sqrt{1-x}\)

For a square root function, the expression inside the square root must be non-negative. Therefore, for function f(x), 1 - x ≥ 0.

Solve the inequality:

\(\begin{aligned}1 - x &\geq 0\\\\1 - x -1 &\geq 0-1\\\\-x &\geq -1\\\\\dfrac{-x}{-1} &\geq \dfrac{-1}{-1}\\\\x &\leq 1\end{aligned}\)

(Note that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign).

Hence, the domain of f(x) is all real numbers less than or equal to -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x \leq 1\\\textsf{Interval notation:} \quad &(-\infty, 1]\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \leq 1 \right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(ii)} \quad g(x) = \dfrac{1}{x^2 + x}\)

To find the domain of g(x), we need to identify any values of x that would make the denominator equal to zero, since division by zero is undefined.

Set the denominator to zero and solve for x:

\(\begin{aligned}x^2 + x &= 0\\x(x + 1) &= 0\\\\\implies x &= 0\\\implies x &= -1\end{aligned}\)

Therefore, the domain of g(x) is all real numbers except x = 0 and x = -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x < -1 \;\;\textsf{or}\;\; -1 < x < 0 \;\;\textsf{or}\;\; x > 0\\\textsf{Interval notation:} \quad &(-\infty, -1) \cup (-1, 0) \cup (0, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq 0,x \neq -1 \right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(iii)}\quad h(x) = \log_7(x + 1)\)

For a logarithmic function, the argument (the expression inside the logarithm), must be greater than zero.

Therefore, for function h(x), x + 1 > 0.

Solve the inequality:

\(\begin{aligned}x + 1 & > 0\\x+1-1& > 0-1\\x & > -1\end{aligned}\)

Therefore, the domain of h(x) is all real numbers greater than -1.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &x > -1\\\textsf{Interval notation:} \quad &(-1, \infty)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x > -1\right\} \end{aligned}}\)

\(\hrulefill\)

\(\textsf{(iv)} \quad k(x) = \tan x\)

The tangent function can also be expressed as the ratio of the sine and cosine functions:

\(\tan x = \dfrac{\sin x}{\cos x}\)

Therefore, the tangent function is defined for all real numbers except the values where the cosine of the function is zero, since division by zero is undefined.

From inspection of the unit circle, cos(x) = 0 when x = π/2 and x = 3π/2.

The tangent function is periodic with a period of π. This means that the graph of the tangent function repeats itself at intervals of π units along the x-axis.

Therefore, if we combine the period and the undefined points, the domain of k(x) is all real numbers except x = π/2 + πn, where n is an integer.

\(\boxed{\begin{aligned} \textsf{Inequality notation:} \quad &\pi n\le \:x < \dfrac{\pi }{2}+\pi n\quad \textsf{or}\quad \dfrac{\pi }{2}+\pi n < x < \pi +\pi n\\\textsf{Interval notation:} \quad &\left[\pi n ,\dfrac{\pi }{2}+\pi n\right) \cup \left(\dfrac{\pi }{2}+\pi n,\pi +\pi n\right)\\\textsf{Set-builder notation:} \quad &\left\{x \in \mathbb{R}\left|\: x \neq \dfrac{\pi}{2}+\pi n\;\; (n \in\mathbb{Z}) \right\}\\\textsf{(where $n$ is an integer)}\end{aligned}}\)

Answer:

i think its point y. because it is the meeting point between line m and n.

so its point y.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer:

the p-value should be 0.175 sorry if it's wrong :))

Answer:

Length of all 3 sides: 7, 7, and 9

Length of the two sides that have the same length: 7

Step-by-step explanation:

Let the two sides with equal lengths have a length of \(x\). We can write the third side as \(2x-5\).

The perimeter of a polygon is equal to the sum of all its sides. Since the perimeter of the triangle is 23 meters, we have the following equation:

\(x+x+2x-5=23\)

Combine like terms:

\(4x-5=23\)

Add 5 to both sides:

\(4x=28\)

Divide both sides by 4:

\(x=\frac{28}{4}=\boxed{7}\)

Therefore, the three sides of the triangle are 7, 7, and 9 and the length of the two sides that have the same length is 7.

On solving the provided question, by the help of BODMAS we can say that - Subtract 22 from both sides is the answer to the given question.

BODMAS and PEDMAS are both names for it in various places. This stands for exponents, parenthesis, division, multiplication, addition, and subtraction. The BODMAS rule states that parentheses must be answered before powers or roots (that is, of), divisions, multiplications, additions, and lastly subtractions. The BODMAS rule states that the degree (52 = 25), parenthesis (2 + 4 = 6), any division or multiplication (3 x 6 (bracket response) = 18), and any addition or subtraction (18 + 25 = 43) come before any other operations.

\(f/3 +22 = 17\)

\(f/3 +22 -22 = 17 -22\) Subtracting the same value from both sides keeps the equation equal.  

Then simplify. The \(+22 and -22= 0\) They "cancel"   \(17-22 = -5\)

\(f/3 = -17 f/3\) is now isolated-- by itself-- in the equation.

If we have to solve  f, the next step we to take is to multiply on the both sides by  3.

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5 inches

Hope this helps

Answer:

Step-by-step explanation:

if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.

so, we do the rule of three:

x = (94900 * 100)/ 65

x = 146000

and that is the population in 2020.

Answer:

Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?

Answer:

90 pills

Step-by-step explanation:

We can think of 1 day as = 3 pills

and 2 days as 3 + 3 pills [3 for both days]

and 3 days as 3 + 3 + 3 pills [3 for each day]

and...wait!! we don't need to be adding all of these days up, we can use multiplication (which is repeated addition)

On day 2, we have two values of 3 pills, or two times that we add 3 pills

this can also be expressed as 3 × 2, which is the same thing as 3 + 3

3 × 2 = 6

3 + 3 = 6

So, we can apply the same idea to 30 days, and multiply 30 by 3 (we have 3 pills 30 times)

3 pills per day × 30 days

    3 × 30 = 90

So, the patient needs 90 pills

Answer:

90 pills

Step-by-step explanation:

The line t is tangent to the circle, then measures of arc are mAB = 130 and mDEF = 234.

What is the point of tangency?

If a line is tangent to a circle, it means that the line intersects the circle at exactly one point, called the point of tangency. In this case, the angle formed between the line and the radius of the circle at the point of tangency is a right angle (90 degrees).

To find the measure of the arc formed by the tangent line and the radius, you need to find the measure of the central angle that subtends the arc. This can be done by using the following formula:

Arc measure = 2 * Central angle measure

So,

mAB = 2 * ∠BAt

= 2 * 65

= 130

mDEF = 2 * 117

= 234

Hence, the line t is tangent to the circle, then measures of arc are mAB = 130 and mDEF = 234.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The required equation is :

\(\qquad \rm \dashrightarrow \:y =a \cos(bx) + k\)

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

\(\qquad \rm  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2\)

Answer:

120

Step-by-step explanation:

Use the permutation and combination formulas to evaluate.

Answer:

20

Step-by-step explanation:

just took the test

Answer:

(-∞, -4)

Step-by-step explanation:

11x > 4(1+3x)

11x > 4*1+4*3x  ==> distribute 4 to 1 and 3x using the distribution property

11x > 4 + 12x  ==> simplify

11x-12x > 4 + 12x-12x  ==> isolate x by subtracting 12x on both sides

-x > 4

x < -4  ==> when dividing by a negative number, switch the inequality sign

x < -4 can also be written as -∞ < x < -4

This is because x is greater than -∞ but can never equal -∞.

-∞ < x < -4 ==> (-∞, -4)

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1 hour = 60 minutes

45 min = (45 min)/(60 min) = 45/60 = 3/4 of an hour.

To go from 45/60 to 3/4, I divided both top and bottom by the GCF 15.

Answer:

45 minutes equal to 3/4 of an hour because, if you convert the one hour into minutes (60 minutes) it is divisible by 15 four times.

3 · 15 = 45.

Answer:

11,100

Step-by-step explanation:

1% of 30,000 is 300 so if we times 300 by 37 we get 11,100

there is 11,100 sheep in 37%.

hope this helps :)

Answer:

c

Step-by-step explanation:

hope it helps