In circle E with
m
∠
D
E
F
=
4
8
∘
m∠DEF=48
∘
and
D
E
=
6
DE=6, find the area of sector DEF. Round to the nearest hundredth

Answer:

50000 ppppp567765

Step-by-step explanation:

Everytime you can come over and play with your hair

Answer:

16-step explanation:32 divided by 16 is 2 2x8 is 16

Answer:

its 8 oranges because each orange is 50 cents

Step-by-step explanation:

16x2=32

8x2=16

A confidence interval of 0.111 is not specific enough to interpret without more information about the context of the problem and the parameter being estimated.

A confidence interval is a range of values that is estimated to include an unknown parameter. The parameter is usually a mean or proportion and the range of values is estimated by using data from a sample.

A confidence interval of 0.111 expresses that the point estimate of the parameter (mean or proportion) falls within a range of values from 0.111 units below to 0.111 units above the point estimate.

The interpretation of the confidence interval depends on the context of the problem. For example, if the parameter is a mean of heights of all adult men in a population and the confidence interval is (175, 185), we would interpret this interval as follows:

we are 95% confident that the true mean height of all adult men in the population is between 175 and 185 centimeters long.

Another example: if the parameter is a proportion of registered voters who support a certain candidate and the confidence interval is (0.46, 0.54), we would interpret this interval as follows:

we are 95% confident that the true proportion of registered voters who support the candidate is between 46% and 54%.

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Answer:

4,500,000m

Step-by-step explanation:

1.20m=120cm

5m=500m

v=l*b*h

v=120*500*75

v=4,500,000

The probability that a randomly selected car had automatic transmission or air conditioning or both is 0.92517.

Total number of cars sold, n = 147

Let A denotes the car is air conditioning.

And B denotes the car is automatic message transmission.

A = 81

B = 82

Number of cars that neither of these extras = 11

Only A = 54

Only B = 55

Now,

P(A ∩ B') = A/n

P(A ∩ B') = 81/147

P(A ∩ B') = 0.551

P(A' ∩ B') = 11/147

P(A' ∩ B') = 0.07483

The probability that a randomly selected car had automatic transmission or air conditioning or both is:

P(A ∪ B) = 1 - P(A' ∩ B')

P(A ∪ B) = 1 - 0.07483

P(A ∪ B) = 0.92517

The likelihood that an automobile chosen at random has either an automatic gearbox, air conditioning, or both is 0.92517.

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In the given scenario ladder is 6.52 feet long.

Given that,

The angle between ground and ladder = 62 degree

The distance of ladder from ground and ladder = 3 feet

We have to find the length of  ladder.

Since we know that,

The trigonometric ratio

cosθ = adjacent/ Hypotenuse

Here we have,

Adjacent =  3 feet

Hypotenuse = length of ladder

Thus to find the length of ladder we have to find the value of hypotenuse.

Therefore,

⇒ cos62 = 3/ Hypotenuse

⇒    0.46 = 3/ Hypotenuse

⇒ Hypotenuse =  3/0.46

                          = 6.52

Thus,

length of ladder  = 6.52 feet.

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Answer:

A

Step-by-step explanation:

We know that (15, 11) (which means x = 15, y = 11) is a solution to Line Q so therefore:

11 = 4/3 * 15 + (k + 1)

11 = 21 + k

k = -10

Answer:

-10 = k

Step-by-step explanation:

y = 4/3x + ( k+1)

We know a point on the line is ( 15,11)

Substitute this point into the equation

11 = 4/3(15) + (k+1)

11 = 20 + k+1

Combine terms

11 = 21+k

Subtract 21 from each side

11-21 = k

-10 = k

Given:

Aim:

Explanation:

Take square root on both sides of the given equation.

Final answer:

The solution set is

The probability that the dog that's selected will weigh less than 30 pounds will be 55%.

From the information given, it was stated that 45% of the dogs weigh more than 30 pounds. Therefore, the probability that the dog that's selected will weigh less than 30 pounds will be:

= 1 - 45%

= 55%

The probability that it weighs more than 30 pound given that it has long fur will be 27%.

The events are independent since the occurence of one doesn't affect the other one.

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The charge per cubic foot is $0.05. The equation for the total cost of a resident's water is C(x) = 0.05x + 40. The number of cubic feet of water used that would lead to a bill of $130 is 2200.

We will use the given data to calculate the charge per cubic foot:Let x be the number of cubic feet of water used by a household and let y be the corresponding bill amount.

Case 1: When a household using 1000 cubic feet was billed $90.

Case 2: When one using 1600 cubic feet was billed $105.Subtracting case 1 from case 2, we get:$$105 - 90 = 15$$$$1600 - 1000 = 600$$So, the charge per cubic foot is:$$\frac{15}{600} = 0.025$$$$\implies 0.05 \text{ (for two decimal place)}$$ Hence, the charge per cubic foot is $0.05.

To write an equation for the total cost of a resident's water as a function of cubic feet of water used, we will use the given data:

$$\text{Fixed amount = } $40$$\text{Charge per cubic foot of water used = } $0.05$$\text{Number of cubic feet used = } x$$

Therefore, the equation for the total cost of a resident's water as a function of cubic feet of water used is:

$$C(x) = \text{(Charge per cubic foot of water used)}\times\text{(Number of cubic feet used)}+\text{(Fixed amount)}$$$$C(x) = 0.05x + 40$$

To find out how many cubic feet of water used would lead to a bill of $130, we will use the equation obtained above:

$$C(x) = 0.05x + 40

= $130$$$$\implies 0.05x

= $90$$$$\implies x

= \frac{90}{0.05}

= 1800$$

Therefore, the number of cubic feet of water used that would lead to a bill of $130 is 1800.

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For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).

Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.

In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:

Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2

Denominator: x^2-16 = (x-4)(x+4)

So the fraction becomes:

(x-4)^2/(x-4)(x+4)

Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:

(x-4)/(x+4)

Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.

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Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

The explicit solution to the given initial value problem

y′=(1−y)5/4 with y(0)=0 is

y(x) = \(1 - (1 - e^x)^4/5\)

The given first-order differential equation is separable, which means that we can separate the variables and write the equation in the form

\(dy/(1-y)^(5/4) = dx.\)

Integrating both sides, we get \((1-y)^(-1/4)\) = 5/4 * x + C, where C is the constant of integration. Solving for y, we get y(x) = 1 -\((1 - e^x)^4/5\).

Using the initial condition y(0) = 0, we can solve for C and get C = 1. Therefore, the explicit solution to the initial value problem is

\(y(x) = 1 - (1 - e^x)^4/5.\)

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Answer:

30cm

Step-by-step explanation:

0.25 times 120 miles equals 30 cm

Answer:

Step-by-step explanation:

Answer:

F. Picture F

Step-by-step explanation:

Answer:

its F

Step-by-step explanation:

If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Answer:

1:8 or 1/8

Step-by-step explanation:

That's your answer.....

Answer:

The answer is 2.5

o.o5 divided by o.o2 is 2.5

\( \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star\)

\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)

\(\textsf{ \underline{\underline{Steps to solve the problem} }:}\)

\(\qquad❖ \: \sf \:h(x) = - \cfrac{1}{3} x + 2\)

we need to find -4 h(9) :

\(\qquad❖ \: \sf \: - 4 \: h(9)\)

\(\qquad❖ \: \sf \: - 4 \bigg(- \dfrac{1}{3} \times 9 + 2 \bigg)\)

\(\qquad❖ \: \sf \: - 4( - 3 + 2)\)

\(\qquad❖ \: \sf \: - 4( - 1)\)

\(\qquad❖ \: \sf \:4\)

\( \qquad \large \sf {Conclusion} : \)

\(\qquad❖ \: \sf \: - 4 \: h(9) = 4\)

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

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The length of the road from the main highway to the western edge of the plot of land is 4 units.

The length of the road from the main highway to the eastern edge of the plot of land is 2√5 units.

A coordinate plane, also known as a Cartesian plane or xy-plane, is a two-dimensional plane formed by two perpendicular lines called the x-axis and the y-axis. The point where the two axes intersect is called the origin, usually denoted by the point (0,0).

To determine the length of the road from the main highway to the western edge of the plot of land, we can calculate the horizontal distance between the two points (0, 3) and (4, 3) using the distance formula:

d = √((4-0)² + (3-3)²)

  = √16

  = 4

To determine the length of the road from the main highway to the eastern edge of the plot of land, we first need to find the point where the road intersects with the eastern edge of the plot. From the graph, we can see that the road intersects with the eastern edge of the plot at the point (4, 5). We can then calculate the distance between (0, 3) and (4, 5) using the distance formula:

d = √((4-0)² + (5-3)²)

  = √(16+4)

  = √20

  = 2√5

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Answer:

x = 20

Step-by-step explanation:

(6x - 10) and (3x + 50) are vertical angles and are congruent, then

6x - 10 = 3x + 50 ( subtract 3x from both sides )

3x - 10 = 50 ( add 10 to both sides )

3x = 60 ( divide both sides by 3 )

x = 20

Answer:

He should have said that his small brother had 100 small building bricks, but lost 5 in total now.

Answer:

option 2 : y-7 = 2(x-1)

Step-by-step explanation:

the fastest way is to simply put the x- and y-values of both points into the equations, and see, which one is true for both points.

the first option is only true for the second point

7-7 = 4(1-1)

0 = 4×0 = 0

but for the first point

3-7 = 4(-1 - 1)

-4 = 4×-2 = -8

-4 = -8 is false

the second option then is true for both points

7-7 = 2(1-1)

0 = 0

3-7 = 2(-1 - 1)

-4 = 2×-2 = -4

The volume of the cylinder is 900 cubic inches

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

Volume of a right circular cone = 300 cubic inches

The right cylinder has the same base and height as the cone

For a cone and a cylinder that has the same radius and height, the relationship between their volumes is

V = 3v

Where

v is the volume of the cone and V is the volume of the cylinder

V = 3 * 300

Evaluate

V = 900

Hence, the volume is 900 cubic inches

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Question 37:  The following is a solution to the differential equation y = t - 1. d.

Question 38:  The tea temperature be after a very long time is dT/dt = k(S - T); T ≈ 20 degrees after a very long time. a.

To determine the solution to the given differential equation: t²(d²y/dt²) - 6t(dy/dt) + 12 = 0, we can solve the equation by assuming a solution in the form of y = tⁿ, where n is a constant.

By differentiating y with respect to t, we can substitute the derivatives into the differential equation to determine the value of n.

Let's differentiate y = tⁿ with respect to t:

dy/dt = n × tⁿ⁻¹

d²y/dt² = n(n-1) × tⁿ⁻²

Substituting these derivatives into the differential equation:

t²(n(n-1)tⁿ⁻²) - 6t(ntⁿ⁻¹) + 12 = 0

Simplifying the equation:

n(n-1)tⁿ - 6ntⁿ + 12 = 0

n(n-1)tⁿ - 6ntⁿ = -12

Since this equation must hold for all values of t, the coefficients of the tⁿ terms on both sides of the equation must be equal.

We can equate the coefficients:

n(n-1) = 0

n = 0 or n = 1

The general solution to the differential equation is y = c₁ + c₂ × t, where c₁ and c₂ are constants.

According to Newton's law of cooling, the rate of change of the temperature T of an object is proportional to the temperature difference between the object's temperature T and the surroundings' temperature S.

We can write the differential equation as follows:

dT/dt = k(S - T)

dT/dt represents the rate of change of temperature, k is the proportionality constant, and (S - T) represents the temperature difference between the object and the surroundings.

The cup of tea starts at 100 degrees and cools to 50 degrees in 3 minutes, with the room temperature at 20 degrees.

We can assume that the temperature of the tea will tend toward the room temperature as time goes to infinity.

This option correctly represents that as time goes to infinity, the temperature T of the tea will approach the temperature S of the surroundings, which is approximately 20 degrees.

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Answer:

ummmm j?:)

Step-by-step explanation:

(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number

(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.

Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.

Real numbers are formed by the union of rational and irrational numbers.

The circumference of the circle in terms of π whose radius is given would be = 63π. That is option D.

To calculate the circumference of a circle, the formula that should be used would be given below.

That is;

circumference of circle= 2πr

The radius = 31½

circumference = 2×π × 31½

= 2×π× 63/2

= 63π

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