A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

The limit of this expression as x approaches 0 is 1. To prove this, we can use L'Hospital's Rule.

Take the natural log of both sides and use the chain rule to simplify:

lim x→0 cot(3x)sin(9x) = lim x→0 ln(cot(3x)sin(9x))

Apply L'Hospital's Rule:

lim x→0 ln(cot(3x)sin(9x)) = lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)]

Apply L'Hospital's Rule again:

lim x→0 [3cos(3x)cot(3x) - 9sin(9x)sin(9x)]/[3sin(3x)cot(3x) + 9cos(9x)sin(9x)] = lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)]

Simplify each side of the equation:

lim x→0 [3(−sin(3x))cot(3x) - 9(cos(9x))sin(9x)]/[3(−cos(3x))cot(3x) + 9(−sin(9x))sin(9x)] = lim x→0 −3/9

= -1/3

Since the limit of both sides of the equation is the same, the original limit must also be -1/3.

However, since cot(0) and sin(0) both equal 0, the limit of the original expression is 1.

To learn more about L'Hospital's Rule visit:

https://brainly.com/question/31398208

#SPJ4

The limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

We can use the properties of trigonometric functions to simplify the expression without needing to apply L'Hôpital's rule.

Recall that cot(x) = cos(x) / sin(x). Applying this to the expression:

lim(x→0) (cos(3x) / sin(3x)) sin(9x)

The sin(3x) term in the numerator and denominator cancels out:

lim(x→0) cos(3x) sin(9x) / sin(3x)

Next, we can simplify the expression further by applying the identity sin(A + B) = sin(A)cos(B) + cos(A)sin(B) to sin(9x):

lim(x→0) cos(3x) (sin(3x)cos(6x) + cos(3x)sin(6x)) / sin(3x)

Now, we can cancel out the sin(3x) term in the numerator and denominator:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1

As x approaches 0, all trigonometric functions in the expression approach their respective limits. Therefore, we can evaluate the limit directly:

lim(x→0) cos(3x) (cos(6x) + cos(3x)sin(6x)) / 1 = cos(0) (cos(0) + cos(0)sin(0)) / 1 = 1(1 + 1(0)) = 1(1 + 0) = 1

Hence, the limit of the expression lim(x→0) cot(3x) sin(9x) is 1.

To know more limit refer here:
https://brainly.com/question/30532760#

#SPJ11

Answer:

The answer is B

Step-by-step explanation:

the ans has to be 36 or more. so A and D can't B the answer. amongst B and C the lowest possible value is B - 36. so 36 is the answer

Answer:75.708L

Step-by-step explanation:

The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

Learn more about z-score here

https://brainly.com/question/13151359

#SPJ4

The researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

To determine the number of participants needed for a within-subject design with 25 conditions and 20 measurements within each condition, we need to consider the concept of counterbalancing. Counterbalancing involves systematically varying the order of conditions across participants to account for potential order effects.

In this case, each participant will need to complete all 25 conditions, with 20 measurements within each condition. Therefore, we can calculate the total number of measurements per participant:

Total measurements per participant = Number of conditions × Number of measurements per condition

Total measurements per participant = 25 × 20

Total measurements per participant = 500

To determine the number of participants needed, we divide the total number of measurements by the number of measurements per participant:

Number of participants = Total measurements / Measurements per participant

Number of participants = 500 / 20

Number of participants = 25

Therefore, the researcher will need 25 participants to obtain 20 measurements within each of the 25 conditions in this within-subject design.

Learn more about research participant  in

brainly.com/question/8186673

#SPJ4

Hence, in answering the stated question, we may say that As a result, cylinder Kendra has approximately 1.45 pounds more freeze pop than Luke.

The cylinder, which is frequently a three-dimensional solid, is one of the most basic curved geometric forms. In elementary geometry, it is called a prism with a circle as its basis. A cylinder is also defined as an infinitely curved surface in several modern domains of geometry and topology. A "cylinder" is a three-dimensional object with curved sides and round tops and bottoms. A cylinder is a three-dimensional solid figure with two identical circle bases linked by a curving surface at the cylinder's height, which is determined by the distance between the bases from the centre. Cold beverage cans and toilet paper wicks are both examples of cylinders.

1.5 cubic inches = 1/3 * 2.25 * 2

1.5 * 0.8 = 1.2 lbs.

* radius2 * height = * 12 * 4 = 4 cubic in.

Kendra's freeze pop has the following mass:

4 * 0.2 = 0.8 lbs.

The volume for Luke's freeze pop is:

*1.52 x 3 = 6.75 cubic inches

And the majority is:

6.75 * 0.05 = 0.3375 lbs

1.2 pound Benjamin

Kendra weighs 0.8 2.51 pounds.

Luke: 0.3375 1.06 lbs.

As a result, Kendra is consuming the most freeze pop, weighing around 2.51 pounds.

We may deduct Luke's mass from Kendra's to figure out how many more pounds of freeze pop Kendra has than Luke:

2.51 - 1.06 1.45 lbs.

As a result, Kendra has approximately 1.45 pounds more freeze pop than Luke.

To know more about cylinder visit:

https://brainly.com/question/16134180

#SPJ1

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer: 0.05

Step-by-step explanation: Ur welcome

Step-by-step explanation:

8×x+8×4=62.4.x=_

8x+32=62.4.x=_

8x=62.4-32

8x=30.4

x=30.4:8

x=3.8

the inequality of n -7> -4 is = n>3. Inequalities are mathematical expressions including the images >, <, ≥, and ≤. To 'address' an imbalance means to track down a reach, or ranges, of values that an obscure x can take regardless fulfill the imbalance.

n-7>-4

n-7+7>-4+7

n>-4+7

n>3

Inequalities are mathematical expressions including the images >, <, ≥, and ≤. To 'address' an

imbalance means to track down a reach, or ranges, of values that an obscure x can take regardless, fulfill

the imbalance.

To dominate the strategies that made sense here you should attempt a lot of training

practices with the goal that they become natural.

Subsequent to perusing this text, and additionally seeing the video instructional exercise on this point, you ought to have the option to:

• address basic inequalities utilizing algebra

• address basic inequalities by drawing graphs

• tackle inequalities in which there is a modulus image

• tackle quadratic inequalities

to know more about algebra click here:

https://brainly.com/question/13106618

#SPJ1

Answer:

9

Step-by-step explanation:

just did the assignment

Answer:

You are going to be combining like terms to determine if the expression is equivalent to A B or C

The First one is B

The Second one is A

The third one is C



Answer:

a, b and f

both arent proportianal or it would line up

but m is linear(straight) whil n isnt because it curves

and  they both do increase

You said:

Answer:

A B F if not a and d

Step-by-step explanation:

Answer:

yes it is, we know this because out of the four side the two longer sides are congruent and this goes for the shorter sides as well

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation

Answer:

$41,500

Step-by-step explanation:

In order to find net worth you must subtract the persons liabilities from the persons assets. Therefore, $113,000 - $71,500 = $41,500.

Hope this helps! Have an excellent day mate!

The options from the list that would improve the line graph are:

The table does not provide any evidence that the graph should start from the origin.

Note that the label on the vertical axis is Height. From the table, the unit is given as Meters (M). This is not indicted in the graph.

Hence, the correct graph is attached accordingly and the correct options are Option A and B respectively.

Learn more about graphs;
https://brainly.com/question/1638242
#SPJ1

Answer:

The options from the list that would improve the line graph are:

the units should be given on the vertical axis (Option A)

the line should not start from the origin. (Option B)

Why is this so?

The table does not provide any evidence that the graph should start from the origin.

Note that the label on the vertical axis is Height. From the table, the unit is given as Meters (M). This is not indicted in the graph.

Hence, the correct graph is attached accordingly and the correct options are Option A and B respectively.

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

Know about area of square here: https://brainly.com/question/24487155

#SPJ1

Answer:

(a) 14.21 = 0.80x +  0.11 (0.80x)

(b) The original price of the t-shirt was $16.

Step-by-step explanation:

The information provided are:

(a)

Assume that the original price of the t-shirt was $x.

The discounted amount would be, x ( 1 - 0.20) = 0.80x.

The sales tax amount would be, 0.11 (0.80x).

Then the total amount paid by Marvin can be represented by the equation:

Total = Discounted amount + Sales tax amount

14.21 = 0.80x +  0.11 (0.80x)

Thus, the equation that can be used to find the original price of the t-shirt is:

14.21 = 0.80x +  0.11 (0.80x)

(b)

Compute the value of x as follows:

\(14.21 = 0.80x + 0.11 (0.80x)\)

\(14.21=0.80\times 1.11\times x\)

     \(x=\frac{14.21}{0.80\times 1.11}\\\\x=16.0023\\\\x\approx \$16\)

Thus, the original price of the t-shirt was $16.

The calculated length of the segment AD is 14

From the question, we have the following parameters that can be used in our computation:

B is the midpoint of AC

BD = 9 and BC = 5

Using the above as a guide, we have the following:

AB = BC = 5

CD = BD - BC

So, we have

CD = 9 - 5

Evaluate

CD = 4

So, we have

AD = AB + BC + CD

substitute the known values in the above equation, so, we have the following representation

AD = 5 + 5 + 4

Evaluate

AD = 14

Hence, the length of the segment AD is 14

Read more about line segments at

https://brainly.com/question/24778489

#SPJ1

This is a translation of 2 units to the left and 5 units up, so the correct option is the first one.,

Remember that a vertical translation of N units is:

g(x) = f(x) + N

if N < 0 the translation is down.

if N > 0 the translation is up.

And a horizontal translation of N units is:

g(x) = f(x + N)

If N > 0 the translation is to the right.

if N < 0 the translation is to the left.

Here we have the transformation:

f(x) = x²

g(x) = (x + 2)² + 5

So this is a translation of 2 units to the left and 5 units up.

Learn more about translations at:

https://brainly.com/question/24850937

#SPJ1

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

Answer:

(-2, -1)

Step-by-step explanation:

To get the coordinates of B, you need to double the distance from the midpoint to A. The difference of 2 and 0 is 2, and the difference between -5 and -3 is 2. So you need to move 2 along the x and y axis. That would give you (2, -1)

Answer:

1  111/125

Step-by-step explanation:

The sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

What is  Algebraic Expression?

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. For instance, the algebraic formula 3x2 2xy + c

The cost of Andrew's lunch is written as the algebraic expression

2s + 2.79 as a given. He bought a huge drink and two sandwiches.

In the algebraic expression given;

2s + 2.79

Here, 2 stand in for the coefficients of s, which stands for the quantity of sandwiches he purchased.

The sandwich's price is represented by the variable s, which is a function of the coefficient.

And 2.97 represents both the cost of a big drink and a constant since no further letters have been added.

Hence, sandwich's price is represented by the variable s , 2 is the coefficient of s and 2.97 represents both the cost of a big drink and a constant

To know more about Algebraic Expression click on the link

https://brainly.com/question/4344214

#SPJ13

The momentum magnitude observed in frame s' is √(15m^2c^4).

In special relativity, the relationship between energy (E) and momentum (p) is given by the equation:

E^2 = (pc)^2 + (mc^2)^2

where m is the rest mass of the particle, c is the speed of light, and p is the momentum of the particle.

In frame of reference s, the energy of the electron is given as 4mc^2. Plugging this into the equation, we have:

(4mc^2)^2 = (pc)^2 + (mc^2)^2

Simplifying this equation, we get:

16m^2c^4 = p^2c^2 + m^2c^4

Canceling out the common terms, we have:

15m^2c^4 = p^2c^2

Taking the square root of both sides, we get:

pc = √(15m^2c^4)

The momentum magnitude observed in frame s', denoted as p', is related to the momentum in frame s (p) by the relativistic velocity addition formula:

p' = γ(p - βE/c)

where γ is the Lorentz factor and β is the velocity of frame s' relative to frame s. Since the electron is moving along the x-axis, the velocity β is zero, and the Lorentz factor γ is equal to 1.

Therefore, the momentum magnitude observed in frame s' is the same as the momentum magnitude in frame s:

p' = p

Know more about momentum magnitude here:

https://brainly.com/question/14459931

#SPJ11

The equation that represents the expression half the number reduced by 4 is (1/2)d - 4

An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.

Let d represent the unknown number.

Given the expression, half the number reduced by 4. This can be represented by the equation:

(1/2)d - 4

The equation is (1/2)d - 4

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

f(2) = 3

Step-by-step explanation:

Substitute 2 for x, and evaluate the expression.

f(x) = 2x - 1

f(2) = 2(2) - 1

f(2) = 4 - 1

f(2) = 3

The units of f''(s) would be "hours per milliliter per milliliter" (hr/mL²) as it represents the rate of change of time concerning the size of the water sample. This indicates how the acceleration of the evaporation time changes concerning the size of the sample.

To determine the units of f''(s), we analyze the given information. The function f($) represents the time in hours, and the size of the sample is measured in milliliters (mL). The first derivative, f'(s), would have units of hours per milliliter (hr/mL) since it represents the rate of change of time concerning the size of the sample.

Taking the derivative again, the second derivative f''(s) represents the rate of change of the rate of change of time. Therefore, the units of f''(s) would be in terms of the units of the first derivative, which is hours per milliliter (hr/mL).

In conclusion, the units of f''(s) would be "hours per milliliter per milliliter" (hr/mL²) as it represents the rate of change of time concerning the size of the water sample.

To learn more about Derivatives, visit:

https://brainly.com/question/25324584

#SPJ11

The units of f"(s) is "hours per milliliter per milliliter" (hr/mL²)

From the question, we have the following parameters that can be used in our computation:

t = f(s)

Where

t = time

s = size of the sample

When differentiated, we have

t' = f'(s) and the unit is hours per milliliter (hr/mL)

When differentiated again, we have

t'' = f''(s) and the unit is "hours per milliliter per milliliter" (hr/mL²)

Read more about derivatives, visit:

https://brainly.com/question/33109674

#SPJ4

If the concentration of the product COCl2 were to double, the equilibrium constant of the reaction would not be affected.

The equilibrium constant (K) is a measure of the ratio of product concentrations to reactant concentrations at equilibrium for a given chemical reaction. It is determined solely by the temperature of the reaction and is independent of the initial concentrations or changes in concentrations during the reaction.

Therefore, doubling the concentration of the product COCl2 would not alter the equilibrium constant of the reaction. The equilibrium constant reflects the relative concentrations of reactants and products at equilibrium and remains constant as long as the temperature remains the same. Any changes in concentration would simply shift the reaction towards the formation of reactants or products until a new equilibrium is reached, without affecting the equilibrium constant itself.

Learn more about chemical reaction here:

https://brainly.com/question/29762834

#SPJ11

Answer:

b. -8

Step-by-step explanation:

Solution Given:

Equation is:

y=8-2x

if x=8

Substitute value of x in above equation

y=8-2*8

y=8-16

y=-7

Answer:

-8

Step-by-step explanation:

This question is asking us what y is equal to when x equals 8. To determine this, we can plug 8 into the equation for x and solve for y. So, let's do just that!

y = 8 - 2x     [ Plug in 8 for x ]

y = 8 - 2(8)     [ Simplify ]

y = 8 - 16     [ Solve ]

y = -8

So, when x=8, y=-8. Attached is an image of the function graphed that also shows that when x=8, y=-8.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!