11. Which radical expression is an irrational number?
A.
\( \sqrt{65} \)
B.
\( \sqrt{64} \)
c.
\( \sqrt{121} \)
D.
\( \sqrt{36} \)
​

Answer:

Because the angle is a 180 degree angle.

Step-by-step explanation:

Answer:

If it looks straight, well then i would guess that it would be straight. You can also put it against a ruler and see if it matches up. if it does not then it is not a line.

Step-by-step explanation:

hope this helps

pls brainliest

Suppose that we randomly choose pens from a box that contains yellow and green pens until a yellow pen is obtained. Assume that each selected pen is replaced before the next one is drawn. In order to find the probability of picking up a pen at least three times, we need to use the probability formula.

For this problem, the probability of choosing a yellow pen on the first draw is P(Y) = number of yellow pens / total number of pens = y / (y+g), where y is the number of yellow pens and g is the number of green pens. The probability of not choosing a yellow pen on the first draw is P(NY) = g / (y+g).After selecting a pen, if it is not yellow, we need to select a pen again. The probability of selecting a pen that is not yellow on the second draw is the same as the probability of not selecting a yellow pen on the first draw, that is\(P(NY) = g / (y+g).\)

Therefore,

the probability of choosing a yellow pen on the second draw is P(Y and NY) = \(P(Y) × P(NY) = y × g / (y+g)²\).The probability of not choosing a yellow pen on the first two draws is P(NYY) = P(NY) × P(NY) = g² / (y+g)².To calculate the probability of choosing a yellow pen on the third draw, we need to consider two cases: the pen selected on the first two draws is green, and the pen selected on the first two draws is not green.

Case 1: The pen selected on the first two draws is green. The probability of selecting a yellow pen on the third draw is P(Y and NY and G) =\(P(Y) × P(NY) × P(G) = y × g × (y+g) / (y+g)³.\)

Case 2: The pen selected on the first two draws is not green. The probability of selecting a yellow pen on the third draw is P(Y and NY and NY) = P(Y) × P(NY) × P(NY) = y × g² / (y+g)³.Therefore, the probability of picking up a pen at least three times is P(at least 3) = P(NYY) + P(Y and NY and G) + P(Y and NY and NY) = g² / (y+g)² + y × g × (y+g) / (y+g)³ + y × g² / (y+g)³ = g² / (y+g)² + 2y × g / (y+g)³.

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Answer:

\(x=15\)

Step-by-step explanation:

\(3x-5=40\\3x=40+5\\3x=45\\x=\frac{45}{3} \\x=15\)

The distance between the two planes after 4 hours is approximately 150 km.

to find out how far apart the planes are after 4 hours, we can use the concept of vectors.

Let's start by finding the positions of the two planes after 4 hours.

The first plane flies at a speed of 110 km/h in a direction of 280°. To find its position after 4 hours, we can use the formula: distance = speed × time. So, the distance traveled by the first plane is 110 km/h × 4 hours = 440 km.

To determine the position of the first plane, we need to convert the direction (280°) into components. The x-component is given by: cos(280°) × distance = cos(280°) × 440 km. The y-component is given by: sin(280°) × distance = sin(280°) × 440 km.

Similarly, for the second plane, which flies at a speed of 250 km/h in a direction of 200°, the distance traveled after 4 hours is 250 km/h × 4 hours = 1000 km. To determine its position, we need to convert the direction (200°) into components. The x-component is given by: cos(200°) × distance = cos(200°) × 1000 km. The y-component is given by: sin(200°) × distance = sin(200°) × 1000 km.

Now, let's calculate the x and y components for both planes:

For the first plane:
x-component = cos(280°) × 440 km
y-component = sin(280°) × 440 km

For the second plane:
x-component = cos(200°) × 1000 km
y-component = sin(200°) × 1000 km

the distance between the two planes, we can use the distance formula, which is given by: distance = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the positions of the first and second planes respectively.

Now, substitute the values we calculated into the distance formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)
distance = √((cos(200°) × 1000 km - cos(280°) × 440 km)^2 + (sin(200°) × 1000 km - sin(280°) × 440 km)^2)

After evaluating the above expression, the distance between the two planes after 4 hours is approximately 150 km.

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If event a and event b cannot occur at the same time, then events a and b are said to be a. mutually exclusive.

Probability and Statistics are two basic concepts in the branch of Mathematics. Probability is all about the likelihood of an event, whereas statistics is more about how we handle various data using different techniques.

By using probability and statistics, you can process complex data in a way that is very easy to understand.

Probability is one of the topics that often comes up when discussing statistics. The reason is, this one theory is commonly used when trying to predict something.

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Answer:

Step-by-step explanation:

143x 69

Divide 143 to both sides

143x = 69

---------------     =  2.07

143      143

Answer: 14

Step-by-step explanation:

P(6)- Q(2) = 4

Q(5) - R(2) = 3

R(6) - S(2) = 4

S(5) - P(2) = 3

4 + 3 + 4 + 3 = 14

Brainliest is appericiated!

Answer:

Perimeter = 14

Step-by-step explanation:

to find the perimeter first find the distance between the two points :

d=√((x2-x1)²+(y2-y1)²)

PQ:(2,2)(6,2)

d=√(6-2)^2+(2-2)^2

= √16=4

PQ=4

RS: (6,5),(2,5)

d=√(6-2)^2+(5-5)^2

d=4

RS=4

QR:(6,2),(6,5)

QR=3

SP(2,5),(2,2)

SP=3

perimeter=2length+2width

P=2l+2w

p=2(4)+2(3)

p=8+6=14

The linear regression to analyze is log(T) vs log(a) or, in other words, (D) log T vs log a. Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables.

To determine the power-law relation between the semi-major axes (a) and orbital periods (T) of the solar planets, we need to analyze the linear regression between the logarithm of T and the logarithm of a. Therefore, the correct choice is (D) logT vs loga.

In the power-law relation, if we assume T = bxa^m, we can take the logarithm of both sides to linearize the equation:

log(T) = log(b) + m * log(a)

By doing this transformation, we obtain a linear equation of the form y = mx + h, where y represents log(T), x represents log(a), m represents the slope of the line (related to the exponent of a in the power-law relation), and h represents the y-intercept (related to the constant term in the power-law relation).

By performing linear regression on the logarithmic values of T and a, we can estimate the values of m and h, which will help us determine the power-law relation between T and a.

So, the linear regression to analyze is log(T) vs log(a) or, in other words, (D) logT vs loga.

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The area of the third side of the triangle is either 20 square unit or 12 square units.

Triangle:

in math, triangle refers a simple closed curve made of three line segments and it has three vertices, three sides and three angles.

Given,

Two sides of a right triangle measure 2 units and 4  units.

And we need to find the area of the square that shares a side with the third side of the triangle  ​

Let us consider is  Two sides of a right triangle measure 2 units and 4  units.

Here if sides are perpendicular sides, then by using Pythagorean theorem

=> third side² = 2² + 4²

When we simplify this one, then we get,

=> third side² = 4 + 16

So, the  third side² = 20

Then the area of the square that shares a side with the third side of the triangle =  third side² = 20 sq units

Similarly, if 4  units is hypotenuse side, then by using Pythagorean theorem, the third side is calculated as,

=> third side² = 4² - 2²

And when we simplify this one, then we get,

=> third side² = 16 - 4

Therefore, the third side² = 12

And the area of the square that shares a side with the third side of the triangle =  third side² = 12 sq units

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Answer:

Arc length = 54.85mm

Step-by-step explanation:

360/32 = 11.25

11.25 * 559 = 6288.75

6288.75 * 3.14 = 19746.675

19746.675/ 360 = 54.851875

Rounded to the nearest hundredth

Arc length = 54.85mm

The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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Answer:

C

Step-by-step explanation:

It takes the diver 5 s to reach the water.

These are mathematical equations in which the highest power of the unknown is 2 and in factored form are written as f(x) = (x -a)(x - b)

Since the Olympic divers height in feet above the water can be modeled by the function f(x) = -2(x-5)(x+1), where x is the time in seconds after he begins the dive.

The diver reaches the top of the water when f(x) = 0.

So, equating f(x) to zero, we have

f(x) = 0

-2(x-5)(x+1) = 0

Dividing through by -2, we have

(x-5)(x+1) = 0

So, (x - 5) = 0 or (x + 1) = 0

x = 5 or x = -1

Since time cannot be negative, x = 5 s.

So, it takes the diver 5 s to reach the water.

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The value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

To solve the equation 2x + 8 + 4x = 22, we need to combine like terms and isolate the variable x.

Combining like terms, we have:

6x + 8 = 22

Next, we want to isolate the term with x by subtracting 8 from both sides of the equation:

6x + 8 - 8 = 22 - 8

6x = 14

To solve for x, we divide both sides of the equation by 6:

(6x) / 6 = 14 / 6

x = 14/6

Simplifying the fraction 14/6, we get:

x = 7/3

Therefore, the value of x is 7/3, which can be rounded to two decimal places as approximately 2.33.

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y increases to 100 after approximately 6.7335 time units and drops to 1 after approximately 1.7273 time units. Rounded to four decimal places, the answers are:

t = 6.7335 (for y = 100)

t = 1.7273 (for y = 1)

This is a first-order differential equation with a constant coefficient, which can be solved using separation of variables:

dy/dt = k*y

dy/y = k*dt

Integrating both sides, we get:

ln(y) = k*t + C

where C is the constant of integration. Solving for y, we get:

y = e^(kt+C) = Ce^(kt)

where C = e^C is another constant of integration. Using the initial condition y(0) = y0 = 6, we get:

y = y0e^(kt)

To find the value of k, we use the fact that y increases to 100 or drops to 1:

For y = 100:

100 = 6e^(kt)

e^(k*t) = 100/6 = 50/3

k*t = ln(50/3)

t = ln(50/3)/k

For y = 1:

1 = 6e^(kt)

e^(k*t) = 1/6

k*t = ln(1/6) = -ln(6)

t = -ln(6)/k

To find the value of k, we can use either equation:

k = ln(50/3)/t = -ln(6)/t

Substituting the values, we get:

k = ln(50/3)/ln(50/3)*(-ln(6)) = -0.3293

Therefore, the equation for y is:

y = 6e^(-0.3293t)

To find the time at which y increases to 100 or drops to 1, we solve for t:

For y = 100:

100 = 6e^(-0.3293t)

t = ln(100/6)/(-0.3293) = 6.7335

For y = 1:

1 = 6e^(-0.3293t)

t = ln(1/6)/(-0.3293) = 1.7273

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Answer:

length × width × height.

Step-by-step explanation:

Answer:

length × width × height

Step-by-step explanation:

That is the standard formula for a rectangular shape

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

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Answer:

Slope is 10 for both.

Step-by-step explanation:

If you do rise over run, then you will realize there is 5 block for 0.5 block on the line. It makes more sense if you take the line and make a triangle with the hypotenuse as the line. You will find that the width and length are not equal. If you do rise over run, you get 5/0.5 for both.

Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?

To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:

Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.

Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.

Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.

Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.

Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.

In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.

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The complete question may be like:

5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:

Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt

where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.

Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.

Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.

Answer:

d. EDC

Step-by-step explanation:

if you mirror the triangle ABC, it fits perfectly with triangle EDC

To converge on your destination, the total correction angle would be 6.56 degrees.

In a triangle with sides a, b and c, the cosine of an angle can be found using the cosine formula as below; cos A = (b² + c² - a²)/2bc. The three sides of the triangle: a = distance off course = 6 miles ,b = distance flown = 52 miles, c = total distance yet to fly = 118 miles. So, cos A = (52² + 118² - 6²)/(2 × 52 × 118) = 1.000282949 ≈ 1°(Rounding off to the nearest hundredth)Therefore, the correction angle would be 90 - cos⁻¹ (1.000282949) = 6.56 degrees.

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Answer:

.549 (all under bar/repeted)

Step-by-step explanation:

Answer:

\(I'(-2,-4), J'(-4,4), K'(4,4)\)

Step-by-step explanation:

Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor \(k\) centered at the origin, \((x,y) \to (kx,ky)\).

Answer:

See Explanation

Step-by-step explanation:

Given

Mixture 1:

\(White = 3\)     \(Blue = 4\)

Mixture 2:

\(White = 6\)     \(Blue = 8\)

Required

Determine equivalent mixtures

First, we need to calculate the unit rate of the given mixtures using:

\(Rate = \frac{White}{Blue}\)

For mixture 1:

\(Rate = \frac{3}{4} = 0.75\)

For mixture 2:

\(Rate = \frac{6}{8} = 0.75\)

So, to determine which other mixture has equivalent ratio.

All you need to do is divide the number of white cups by the number of blue cups.

Since the options are not clear enough, I'll assume the following:

\(White = 12\)      \(Blue =16\)

The rate will be:

\(Rate = \frac{12}{16} = 0.75\)

Any rate other than 075 is not equivalent

System of equations can be calculated using substitution method, and several  other ways

The system of equations has infinitely many solutions

The system of equations is given as:

\(8x -2y=18\)

\(y = 4x - 9\)

Substitute 4x - 9 for y in \(8x -2y=18\)

\(8x - 2(4x - 9) = 18\)

Open brackets

\(8x - 8x + 18 = 18\)

Subtract 8x from 8x

\(18 = 18\)

The above equation means that, the system of equations has infinitely many solutions

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The statement is false. The arc length of the curve defined by x = 4(3 + y)² on the interval [1, 4] is not approximately 131 units.

To find the arc length of a curve, we use the formula ∫ √(1 + (dx/dy)²) dy, where the integral is taken over the given interval.

In this case, the equation x = 4(3 + y)² represents a parabolic curve. By differentiating x with respect to y and substituting it into the arc length formula, we can calculate the exact arc length over the interval [1, 4].

However, it is clear that the arc length of the curve defined by x = 4(3 + y)² cannot be approximately 131 units, as this would require a specific calculation using the precise integral formula mentioned above.

Therefore, the statement is false, and without further calculations, we cannot determine the exact arc length of the given curve on the interval [1, 4].

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Answer:

The distance that the tortoise has still to cover is equal to 80 meters.

Step-by-step explanation:

When it says that she has only come 4/5 of the total journey that means that if we were to divide the journey into 5 parts of the same length, the turtle would already be done with 4 parts and has only 1 more part to do before finishing the journey.

Since all the parts are of the same length then the distance of that one part that she still has to cover is equal to...

400 / 5 = 80 m

Therefore the distance that the tortoise has still to cover is equal to 80 meters

Step-by-step explanation:

Given,

A tortoise starts running a length of 400 m.

after one day , the tortise found it has come only 4/5 tortise.

so, the total distance is : 4/5 of 400 m.

then it will come :320m.

Ans: 320m.

Answer:

\( y = \frac{ - 4}{5} x + 7\)

Answer:

1/8 x 1/3 = 1/24  :)

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

take

1/8 x 1/3

so 1x1 = 1

1/

then 8x3=24

1/24