If mZJKM = 43º, mZMKL = (8x - 20)", and mZJKL = (10x - 11)", find each measure. M K mZMKL = m/JKL Gina Wilson (All Things AlgebraB. LLC), 2014-2017​

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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Answer:

4,895 containers

Step-by-step explanation:

The number of the wooden closed cylinders to be painted, n = 200

The diameter of each cylinder, d = 35 mm = 3.5 cm

The height of each cylinder, h = 7 cm

The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h

Where, π = 3.142, we get;

A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375

The surface area of each cylinder, A = 96.22375 cm²

The total surface area, \(A_T\) = n × A

∴ \(A_T\) = 200 × 96.22375 = 19,244.75

The total surface area that needs to be painted, \(A_T\) = 19,22375 cm²

7. The base diameter of the tank, d₁ = 2.4 m = 240 cm

The height of the tank, h₁ = 6.4 m = 640 cm

The base radius of each cylinder container, r = 8.2 cm

The height of each cylindrical container, h₂ = 28 cm

The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;

n = (The volume of the tank)/(The volume of a cylinder)

The volume of the tank, V₁ = π·(d²/4)·h₁

∴ V₁ = π × (240²/4) × 640 = 9216000·π

The volume of the tank, V₁ = 9216000·π cm²

The volume of a cylinder, V₂ = π·r²·h₂

∴ V₂ = π × 8.2² × 28 = 1,882.72·π

The volume of a cylinder, V₂ = 1,882.72·π cm²

The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045

Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Answer:

Step-by-step explanation:

1/4 revolution

Answer:

1. f & c,     d & e,

2. h & a,   g & b

3. h & d,    f & b,   g & c,     a & e

here ya go, i hope this is correct if i remember right

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation: she keeps 1/3 at home and takes the other 1/3 to work

The shortest of all chords drawn through a point a taken in the interior of a given circle, is the one which is perpendicular to the diameter drawn through a.

Let us consider a point ‘a’ in the interior of a circle with center ‘O’ and radius ‘r’. Let ‘A’ and ‘B’ be the two endpoints of the chord passing through ‘a’.

We know, the length of a chord AB is given by

Length of AB = \(2√r^2 - 2r*cos(θ/2)\)

Where θ is the angle between OA and OB.

Now, for the chord to be perpendicular to the diameter, the angle θ must be 90°.

Therefore,

Length of AB =\(2√r^2 - 2r*cos(90°/2)\)

Length of AB = \(2√r^2 - 2r*0\)

Length of AB = 2r

Hence, we can conclude that the shortest of all chords drawn through a point a taken in the interior of a given circle, is the one which is perpendicular to the diameter drawn through a.

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Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

The Laplace transform of f(t) is a function of s, given by 5 / (s² + 100).

To find ℒ{f(t)} for the function f(t) = sin(5t) cos(5t), we can first use the trigonometric identity:
sin(2θ) = 2 sin θ cos θ
We can apply this identity to the product of sin(5t) and cos(5t) in f(t):
sin(5t) cos(5t) = 1/2 sin(2(5t))
Using the Laplace transform property for a scaled and shifted function:
ℒ{sin(at)} = a / (s² + a²)
We can find ℒ{1/2 sin(2(5t))} as:
1/2 ℒ{sin(10t)} = 1/2 × 10 / (s² + 10²) = 5 / (s² + 100)
Therefore, we can write ℒ{f(t)} as:
ℒ{sin(5t) cos(5t)} = ℒ{1/2 sin(2(5t))} = 5 / (s² + 100)
So the Laplace transform of f(t) is a function of s, given by 5 / (s² + 100).

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Answer:

31 and 73

Step-by-step explanation:

Writing this is variable form,

x+y = 104

x-y = 42

If we use the process of elimination and add the system of equations together;

2x = 146

x = 73

Substituting that back in;

x - y = 42

(73) - y = 42

y = 31

Answer:

\(a=73 \text{ and } b=31\)

Step-by-step explanation:

\(a+b=104 --- (1)\\a-b=42 ---(2)\\\)

Add (1) and (2), we get

\(2a=104+42\\a=\dfrac{146}{2}\\=73\)

\(73-b=42\\-b=42-73\\b=31\)

Answer:

A. 24°

Step-by-step explanation:

ABC is 85° which is the whole angle. DBC is a part of ABC and is 61°. If we do 85-61=24. The answer would be 24°.

PLZ MARK BRAINLIEST!!!

If m ∠ABC=85° and m ∠DBC=61° then m  angle ABD=24°. Hence the option A is correct.

An angle is the figure formed by two sides of a figure ,  sharing a common endpoint, called the vertex of the angle.

From the given figure we can conclude that ∠ABD=∠ABC-∠DBC.

We have been given that m ∠ABC=85° and m ∠DBC=61°

∠ABC=85/m and ∠DBC=61/m

Put in the above equation

∠ABD=∠ABC-∠DBC

∠ABD=85/m-61/m

=24/m

we have been find m ∠ABD so we have to multiply 24/m by m is 24°.

Hence the value of m angle ABD=24 degrees.

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Step-by-step explanation:

a. They are alternate interior angles.

b. Line AC and Line DG

c.Line BE and Line BF

d. 45

e. 110

f. 65, triangle exterior theorem

f. 70, alternate interior angles

Since the first 730 days were under 6% compounded daily and the last 401 days were under 8% compounded daily, the final future value of the loan in the sum of $6,155.27 agrees with Dylan's calculations of what he owed Paul.

The final future value combines two separate calculations using an online finance calculator.

The first computation determines the future value based on a present value of $5,000 at 6% for 730 days.

The final computation determines the future value based on a present value of $5,637.43 at 8% for 401 days.

$5,000 for 730 days at 6% Compounded Daily:

N (# of periods) = 730 days

I/Y (Interest per year) = 6%

PV (Present Value) $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $5,637.43

Total Interest = $637.43

$5,637.43 for 401 days at 8% Compounded Daily:

N (# of periods) = 401 days

I/Y (Interest per year) = 8%

PV (Present Value) = $5,637.43

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $6,155.27

Total Interest = $517.84

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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(1) Differentiating e to the power x is equal to e to the power x itself, since the derivative of an exponential function in base "e" is equal to ex. Mathematically, this is expressed by d(ex)/dx = ex.

(2) The derivative of eˣ is eˣ. This is one of the properties that makes the exponential function really important.

(1) Differentiating e to the power x is the process of determining the derivative of e to the power x with respect to x, written mathematically as d(ex)/dx. Exponential functions have the form f(x) = ax, where "a" is a real number and x is a variable. e to the power x is a base exponential function (a) equal to Euler's number "e", and the differential of e to the power x is equal to e to the power x, which is itself. This is written d(ex)/dx = ex.

eˣ , start superscript, x, end superscript is the only function that is the derivative of itself.

d/dx [eˣ ] = eˣ

Where, f(x)=0, left parenthesis, x, right parenthesis, equals, 0 is also the derivative of itself, but it's not a very interesting function.

Knowing the proof of this fact is not required for the AP Calculus course, but we believe there is always something to be gained from it if it can be proven.

(2) We know that it is true because:

(i) The nth differential of e to the power x is equal to ex,

i.e. dn(eˣ)/dxⁿ = eˣ

(ii) The derivative of the exponential function with e as the base is equal to eˣ.

(iii) The derivative of eᵃˣ is aeᵃˣ. Using this formula, we differentiate eˣ into 1.eˣ = eˣ.

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Answer: it’s the third one

Step-by-step explanation:

Answer:

820

Step-by-step explanation:

because ' minus each month

Use the formula V = P(1 - r)ᵗ, where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years. Substituting the given values, the value of the car after 9 years is approximately 10920.91 dollars.

To calculate the value of the car after 9 years, we can use the formula for exponential decay:

V = P(1 - r)ᵗ

where V is the final value of the car, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the time in years.

Substituting the given values, we get:

V = 22400(1 - 0.0675)⁹ ≈ 10920.91

Therefore, the value of the car after 9 years is approximately 10920.91 dollars.

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Answer:

19 , 29

Step-by-step explanation:

19 + 29 = 48

mark brainiest pls

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Answer:

1. A. falling asleep

2. D. taking more time to wind down before bedtime

3. B. There is more than one reason that people have trouble sleeping.

4. C. The problem of falling asleep has been around for a long time and affects many people

5. A. why kids have trouble falling asleep and what they can do about it

6. A. something done over and over

Step-by-step explanation:

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

x = 8

Step-by-step explanation:

This question is pretty simple. You already know the value of x, we substitute what x equals and find the number 2 cubed.

2^3 = ?

2x2x2 = 8

Answer:

to be honest I'm not sure how to do this question plz

Answer:

is A

Step-by-step explanation:

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

In conclusion, we can infer and logically deduce that this test would be left-tailed.

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Answer:

one of the base angel would be 65°

Answer:

If Ike runs at the same pace for 53 minutes, he will run approximately 16.9 miles.

Step-by-step explanation:

By creating a ratio of miles over time, you can get this

(7)/(22)=(x)/(53) = 16.86 -> 16.9

Answer:

Approximately 16.86 miles

Step-by-step explanation:

We can use ratios to solve

7 miles            x miles

------------      = -------------------

22 minutes       53 minutes

Using cross products

7 * 53 = 22x

371= 22x

Divide each side by 22

371/22 = 22x/2

16.8636363 = x

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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To determine if f satisfies the hypotheses of Rolle's Theorem on the interval [-1, 1], we need to check if f is continuous on [-1, 1] and differentiable on (-1, 1].

To apply Rolle's Theorem, f must meet the following conditions:Continuity: f must be continuous on the closed interval [-1, 1].Differentiability: f must be differentiable on the open interval (-1, 1). Since the given function f is a polynomial function, it is continuous and differentiable on its entire domain. Polynomials are defined and differentiable for all real numbers, and they are continuous everywhere.

Therefore, f satisfies the hypotheses of Rolle's Theorem on the interval [-1, 1]. It is continuous on the closed interval [-1, 1] and differentiable on the open interval (-1, 1). Rolle's Theorem states that if a function satisfies these conditions, then there exists at least one point c in the open interval (-1, 1) where the derivative of f equals zero. In other words, there exists a point c where f'(c) = 0.

It is important to note that while f satisfies the hypotheses of Rolle's Theorem, the specific values and behavior of f within the interval [-1, 1] would determine the existence and location of the point c. Additional analysis of the function would be necessary to determine the precise implications of Rolle's Theorem for the given function f on the interval [-1, 1].

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