how is the remainder in a taylor polynomial​ defined? question content area bottom part 1 let be the taylor polynomial of order n for f. the remainder in using to approximate f at the point x is

the best would be the first choice because it's 7 dollars less than the second choice

Answer:

Equation: y=-2,000x+30,000

Slope: Plane is going down at the rate of 2,000 feet per minute

y-intercept: The intal altitude is 30,000 feet in the air

10 minute: 10,000 feet

0 altitude: 15 minutes

Step-by-step explanation:

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

\(\frac{0.47}{1}\) = \(\frac{0.47 x 100 } {1x100}\) = \(\frac{47}{100}\)

So, 0.47 as a fraction  in simpliest form equals 47/100

Therefore , the solution of the given problem of unitary method comes out to be  length (12 ft) that is less than its width (20 ft), which is the case with the tent.

The well-known simple approach, real variables, and any crucial elements from the very initial And specialised inquiry can all be used to finish the work. Customers may then be given another chance to try the product in response. If not, significant impacts on our understanding of algorithms will vanish.

Here,

The hypotenuses of two right triangles created by halving the triangle can be viewed as the two sides of the triangle. Next, we have

=> h² = (12/2)² - (20/2)²

=> h² = 36 - 100

=> h² = -64

The fact that the outcome is bad indicates that we made a mistake. In this instance, it is because a legitimate triangular prism cannot be formed using the specified dimensions.

A triangular prism cannot have a length (12 ft) that is less than its width (20 ft), which is the case with the tent.

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Answer:

16/21

Step-by-step explanation:

Divide both sides by 7 to get 1/8

2/3 = 7/8

1/7 x 2/3 = 7/8 x 1/7

2/21 = 1/8

Then multiply both sides by 8 to get 8/8 which is 1

8/1 x 2/21 = 1/8 x 8/1

16/21 = 1

Solution:

Given:

The sequence given is an arithmetic progression because it increases by a common difference.

Hence, the function rule for the sequence will follow that of an arithmetic progression (A.P).

The nth term of an A.P is given by;

For the sequence given;

Therefore, the function rule for the sequence is;

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

\({:}\longrightarrow\tt f (x)=6 (1-x)\)

\({:}\longrightarrow\tt f (-7)=6 (1-(-7))\)

\({:}\longrightarrow\tt f (-7)=6 (1+7)\)

\({:}\longrightarrow\tt f (-7)=6(8)\)

\({:}\longrightarrow\tt f (-7)=48 \)

\(\therefore\sf f (-7)=48 \)

Answer:

:⟶f(x)=6(1−x)

{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))

{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)

{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)

{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48

\therefore\sf f (-7)=48∴f(−7)=48

Answer:

y = 45 + 5(x - 5)

where y is the total cost of the ad, and x is the total number of lines in the ad

Step-by-step explanation:

Let x = number of lines in the ad

Let y = total cost

If the cost of the ad is $45 for the first 5 lines and $5 for each additional line then the expression for the total cost of the ad is:

y = 45 + 5(x - 5)

Answer:

equation: y = 5(x-5) + 45

Explanation:

Here "y" represents the total money earned. "x" represents the earning from additional line. the constant variable is "45" and does not change.

Answer:

Step-by-step explanation:

>

Answer:

none of the above, its equal to

Step-by-step explanation:

|12|=|-12|

the absolute value of 12 is equal to the absolute value of -12

hope it helps have a great time learning!

Answer:

Simplify the expression.

28.5q−2

Step-by-step explanation:

i think this what you would like

Answer:

it is a rational number, a integer, and a real number. It is NOT a whole number

Step-by-step explanation:

Answer:

It is not a whole number when compared to other answers.

Answer:

Step-by-step explanation:

42 + 8 = R

50 = R

Reece is 50 inches tall

OR

R - 8 = 42

r = 50

Answer:

The answer is 50 inches for solution

Step-by-step explanation:

for equation it would be 42+8=50

Answer:

the only positive multiple of 3, which is a prime number is 1×3=3 itself.

hope this helps! :)

Step-by-step explanation:

Answer:

  3.6 hours

Step-by-step explanation:

Given that the number of milligrams of a drug in a patient's bloodstream after h hours is D(h) = 25e^(-0.4h), you want to know how much time elapses before the number reaches 6 milligrams.

You want to solve for h the equation ...

  D(h) = 6

  25e^(-0.4h) = 6 . . . . . . use the given expression for D(h)

  e^(-0.4h) = 6/25 . . . . . divide by 25

  -0.4h = ln(6/25) . . . . . take natural logs

  h = ln(6/25)/-0.4 ≈ 3.6

About 3.6 hours is the time needed between injections.

__

Additional comment

Because there are 6 mg remaining after the first injection when the second is given, it will take about 4.1 hours for the amount to decline to 6 mg after the second injection.

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The area of ΔAFD is 42 squared unit.

The area of a triangle is the amount of space that the triangle would occupy on a 2 dimensional plane.

Area of a triangle = 1/2 x base x height

To solve the given problem, let the height be resented by x and the base be represented by y. So that applying the trigonometric function to determine the values, we have;

i. Sin θ = opposite/ hypotenuse

Sin 30 = x/ 14

x = 14 x Sin 30

     = 7

The height is 7 units.

ii. Cos θ = adjacent/ hypotenuse

   Cos 30 = y/ 14

  y = 14 x Cos 30

       = 12

The base is 12 units.

Therefore, the area of triangle AFD can be determined by;

Area of ΔAFD = 1/2 x 12 x 7

                       = 42

The area of ΔAFD is 42 squared unit.

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The domain of the function is all real numbers, and the range is a subset of the interval [-1, 1].

To determine the domain and range of the given function, let's break down the steps:

Step 1: Analyze the function. The function is given as sin((x - 2.5) + 3y) = πsin(3πt).

Step 2: Domain. The domain of a function is the set of all possible input values for the independent variable. In this case, the independent variable is x. The domain of the function is typically all real numbers unless there are specific restrictions or limitations mentioned in the problem. Since no restrictions are mentioned in the given function, the domain is all real numbers.

Domain: (-∞, +∞)

Step 3: Range. The range of a function is the set of all possible output values for the dependent variable. In this case, the dependent variable is y. The range of the function depends on the range of the sine function.

The range of the sine function is [-1, 1]. However, the given function includes additional terms and transformations, such as (x - 2.5) and πsin(3πt), which may affect the range.

Without further information or constraints on the values of x, it is difficult to determine the exact range. However, we can conclude that the range will be a subset of the interval [-1, 1].

Range: [-1, 1] (subset)

Therefore, the domain of the function is all real numbers, and the range is a subset of the interval [-1, 1].

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The domain of the function is all real numbers, and the range is actually a subset of the interval [-1, 1].

To determine the domain and range of the given function, let's break down the steps:

Step 1: Analyze the function. The function is given as sin((x - 2.5) + 3y) = πsin(3πt).

Step 2: Domain. The domain of a function is the set of all possible input values for the independent variable. In this case, the independent variable is x. The domain of the function is typically all real numbers unless there are specific restrictions or limitations mentioned in the problem. Since no restrictions are mentioned in the given function, the domain is all real numbers.

Domain: (-∞, +∞)

Step 3: Range. The range of a function is the set of all possible output values for the dependent variable. In this case, the dependent variable is y. The range of the function depends on the range of the sine function.

The range of the sine function is [-1, 1]. However, the given function includes additional terms and transformations, such as (x - 2.5) and πsin(3πt), which may affect the range.

Without further information or constraints on the values of x, it is difficult to determine the exact range. However, we can conclude that the range will be a subset of the interval [-1, 1].

Range: [-1, 1] (subset)

Therefore, the domain is all real numbers, range is a subset of the interval [-1, 1].

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Answer:

\( {(x - 3) + (y - 5)}^{2} = 64\)

The center is (3, 5), and the radius is 8.

Answer:

The statement is false. A conjecture is proven through deductive reasoning.

Step-by-step explanation:

Answer:

36 beans

Step-by-step explanation:

Trust Me, I know the answer its quite easy you do 8×4=32 8×1/2=4 and add them both together which is 36

Answer: I confirm it is 36 beans

Step-by-step explanation:

a)  the Reynolds number for the flow of metal into the mold is given by:

\($Re = \frac{(1.798)(0.014)}{0.0012} \\= 21.008$\)

Since the Reynolds number is less than 2300, the flow is laminar.

b) the time taken for a 300,000 $mm^3$ casting to be filled with a runner of diameter 1.328 mm.

a)  The velocity and rate of the flow of the metal into the mold, and whether the flow is turbulent or laminar, are determined using Bernoulli's equation and Reynolds number.

Bernoulli's equation is given by the following formula:  

\($P_1 +\frac{1}{2}\rho v_1^2+\rho gh_1 = P_2 +\frac{1}{2}\rho v_2^2+\rho gh_2$\) where \($P_1$\) and \($P_2$\) are the pressures at points 1 and 2, \($v_1$\) and \($v_2$\) are the velocities at points 1 and 2, \($h_1$\) and \(V\) are the heights of the liquid columns at points 1 and 2, and $\rho$ is the density of the fluid, which is 7500 kg/m³ for molten metal, and \(V\) is the gravitational acceleration of the earth, which is 9.81 m/s².

We know that the height difference between the metal level in the pouring basin and the mold is $320\ mm$ and the diameter of the runner is \($14\ mm$\).

Therefore, the velocity of the flow of the metal into the mold is given by: \($v_2 = \sqrt{2gh_2} \\= \sqrt{2(9.81)(0.32)} \\= 1.798\ m/s$\)

The Reynolds number is used to determine whether the flow is turbulent or laminar, and it is given by the following formula: \($Re = \frac{vD}{h}$\) where \($v$\) is the velocity of the fluid, \($D$\) is the diameter of the pipe or runner, and $h$ is the viscosity of the fluid, which is \($0.0012\ Ns/m^2$\) for molten metal.

Therefore, the Reynolds number for the flow of metal into the mold is given by:

\($Re = \frac{(1.798)(0.014)}{0.0012} \\= 21.008$\)

Since the Reynolds number is less than 2300, the flow is laminar.

b)  We know that Reynolds number is given by \($Re = \frac{vD}{h}$\).

We need to find the diameter of the runner which will ensure a Reynolds number of 2000.  

\($D = \frac{Reh}{v} \\= \frac{(2000)(0.0012)}{1.798} \\= 1.328\ mm$\)

Therefore, the diameter of the runner needed to ensure a Reynolds number of 2000 is 1.328 mm.

The volume of the casting is 300,000 $mm^3$, and the cross-sectional area of the runner is

\($A = \frac{\pi D^2}{4}\\= \frac{\pi(1.328)^2}{4}\\= 1.392\ mm^2$\).

The time taken for the casting to be filled is given by:

\($t = \frac{V}{Av} \\= \frac{300,000}{1.392(1.798)} \\= 118,055\ s$\)

Therefore, the time taken for a 300,000 $mm^3$ casting to be filled with a runner of diameter 1.328 mm.

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Answer:

Broken = 7x

Step-by-step explanation:

Left = x

x(7x) = 30

(7x² = 30)⅐

x² = 4.285

√x² = √4.285

x = 2.07

Left = 2.07 meters

Broken = 7 x 2.07 = 14.49 meters

i hope this is correct!

good luck on ur test!

She used 1/12 kg of salt when preparing the dinner.

An equation shows the relationship between numbers and variables in an expression.

There are 5/6 kg of salt in the kitchen. Mrs. Jackson used 1/10 of the salt when she was preparing dinner. Hence:

Amount of salt used = (1/10) * (5/6)kg = 1/12 kg

She used 1/12 kg of salt

The amount of salt remaining is the difference between the initial salt available and the quantity of used salt. Hence:

Salt remaining = 5/6 kg - 1/12 kg = 3/4 = 0.75 kg

Mrs. Jackson had 0.75 kg of salt remaining.

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Answer:

4. θ = 139.80°

5. x = 9

Step-by-step explanation:

4.

From the picture you can see that the radius is 10 in and the arc length is 24.4 in.

Since you got radius and arc length you can use arc length formula to get the angle!

Formula for arc length is:

\(\text{arc length} = 2 \pi r (\frac{\theta}{360^\circ})\)

where r is radius and θ is the angle in degree.

Substituting the values:

\(24.4 = 2 \cdot \pi \cdot 10 \cdot (\frac{\theta}{360^\circ})\)

Now let's rearrange the equation to isolate θ.

\(24.4 = 2 \cdot \pi \cdot 10 \cdot (\frac{\theta}{360}) \\\\24.4 = 20 \cdot \pi \cdot (\frac{\theta}{360})\\\\\frac{24.4}{20 \pi} = \frac{\theta}{360}\\\\\frac{24.4 \cdot 360}{20 \pi} = \theta\\\\\frac{24.4 \cdot 360}{20 \pi} = \theta\\\\\frac{8784}{20 \pi} = \theta\\\\139.8017^\circ \approx \theta\\\\\text{Rounding to 2 decimal places:}\\\theta = 139.80^\circ\)

---

5.

For this one let's use the Two Tangent Theorem, which states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

Therefore:

x + 6 = 3x - 12

18 = 2x

9 = x

Answer:

\(x^2-4x+3\)

\(63\ \text{sq. units}\)

Step-by-step explanation:

l = Length = \(\dfrac{x^2-x-6}{x-5}\)

w = Width = \(\dfrac{x^2-6x+5}{x+2}\)

Area is given by

\(A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3\)

Area of the room is \(x^2-4x+3\).

If \(x=10\)

Area of the room

\(A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}\)

So, the amount of carpet needed would be \(63\ \text{sq. units}\).

The probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

Let's use the following notation:

P(TB) represents the probability that an adult has tuberculosis, which is given as 0.05.

P(POS|TB) represents the probability that the test is positive given that an adult has tuberculosis, which is given as 0.746.

P(NEG|TB) represents the probability that the test is negative given that an adult has tuberculosis, which is 1 - P(POS|TB) = 0.254.

We are asked to find the probability of an adult getting a NEG result and truly having tuberculosis, which can be calculated using Bayes' theorem as follows:

P(TB|NEG) = P(NEG|TB) * P(TB) / P(NEG)

We can calculate P(NEG) using the law of total probability, which considers the two possible cases for an adult: having tuberculosis (TB) or not having tuberculosis (TB').

P(NEG) = P(NEG|TB) * P(TB) + P(NEG|TB') * P(TB')

= 0.254 * 0.05 + 0.7653 * 0.95

= 0.7352

Now we can substitute the values into Bayes' theorem:

P(TB|NEG) = 0.254 * 0.05 / 0.7352

= 0.01725

Therefore, the probability of an adult getting a NEG result and truly having tuberculosis is 0.01725, which is closest to option (A) 0.0373.

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Answer:

837.62

Step-by-step explanation:

Two decimal places to the right of the decimal is the hundredths place. When we round, we use the number after it to determine the number. 8 is greater than 5, so the 1 after the 6 will turn into a 2.

Answer:

Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.

m = -a/b = -1/-2 = 1/2

The equation is

(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>

2Y - 4 = X - 2 => | X - 2Y = -2 |

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

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