can you answere this please? i will give brainleyest

Answer:

1st reflection

- over the y-axis: (3,-9)

2nd reflection

- over the x-axis: (3,9)

Step-by-step explanation:

The estimated area under the graph of the function f(x)=x+3−−−−√ from x=−2 to x=3, using a Riemann sum with n=10 subintervals and midpoints, is approximately 15.1246 square units.

To calculate the Riemann sum, we divide the interval from x=-2 to x=3 into 10 equal subintervals. The width of each subinterval, Δx, is given by (3 - (-2))/10 = 5/10 = 0.5. The midpoints of each subinterval are then calculated as follows:

x₁ = -2 + 0.5/2 = -1.75

x₂ = -2 + 0.5 + 0.5/2 = -1.25

x₃ = -2 + 2*0.5 + 0.5/2 = -0.75

...

x₁₀ = -2 + 9*0.5 + 0.5/2 = 2.75

Next, we evaluate the function f(x)=x+3−−−−√ at each midpoint and calculate the sum of the resulting areas of the rectangles formed by each subinterval. Finally, we multiply the sum by the width of each subinterval to obtain the estimated area under the curve.

Using this method, the estimated area under the graph is approximately 15.1246 square units.

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Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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(a) f is increasing on the interval (-2.08, 1.58).

(b) The local maximum value of f is 123.5 and local minimum is 100.4.

(c) The inflection point of f is approximately (-0.75, f(-0.75)).

(a) To find the intervals on which f is increasing, we need to find the derivative of f and determine where it is positive.

f(x) = 4x^3 + 9x^2 - 54x + 4

f'(x) = 12x^2 + 18x - 54

Setting f'(x) = 0, we get:

12x^2 + 18x - 54 = 0

Dividing by 6 gives:

2x^2 + 3x - 9 = 0

Using the quadratic formula, we get:

x = (-3 ± √(3^2 - 4(2)(-9))) / (2(2))

x = (-3 ± √105) / 4

x ≈ -2.08, x ≈ 1.58

Now, we can use the first derivative test. We test the intervals (-∞, -2.08), (-2.08, 1.58), and (1.58, ∞) by plugging in a value within each interval into f'(x).

For x < -2.08, f'(x) is negative, so f is decreasing.

For -2.08 < x < 1.58, f'(x) is positive, so f is increasing.

For x > 1.58, f'(x) is negative, so f is decreasing.

Therefore, f is increasing on the interval (-2.08, 1.58).

(b) To find the local minimum and maximum values of f, we need to find the critical points of f and determine whether they correspond to local minimums or maximums.

We already found the critical points of f in part (a):

x ≈ -2.08, x ≈ 1.58

Now, we can use the second derivative test to determine the nature of these critical points.

f''(x) = 24x + 18

For x ≈ -2.08, f''(x) is negative, so this critical point corresponds to a local maximum.

For x ≈ 1.58, f''(x) is positive, so this critical point corresponds to a local minimum.

Therefore, the local maximum value of f is:

f(-2.08) ≈ 123.5

And the local minimum value of f is:

f(1.58) ≈ -100.4

(c) To find the inflection point of f, we need to find where the concavity of f changes. This occurs at points where the second derivative of f is zero or undefined.

We already found that the second derivative of f is:

f''(x) = 24x + 18

Setting f''(x) = 0, we get:

24x + 18 = 0

x ≈ -0.75

Therefore, the inflection point of f is approximately (-0.75, f(-0.75)).

To find the intervals on which f is concave up and concave down, we can use the sign of the second derivative.

f''(x) is positive for x > -0.75, so f is concave up on this interval.

f''(x) is negative for x < -0.75, so f is concave down on this interval.

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The university grew at an average percentage rate of approximately 15.36% per year.

1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%

Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.

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The discrete random variables from the given options are: 1, 2, 4, and 5.

The number of CDs that a college student owns: This is a discrete random variable because the number of CDs can only be a whole number. You cannot have a fractional or continuous value for the number of CDs.

The number of dogs you own: This is a discrete random variable because you can only own a whole number of dogs. You cannot own a fractional or continuous number of dogs.

Number of 6s you get when you throw 5 number cubes: This is a discrete random variable because the number of 6s can only be a whole number from 0 to 5. You cannot have a fractional or continuous value for the number of 6s obtained.

The number of dog sleds that a competitor uses in an annual sled dog race: This is a discrete random variable because the number of dog sleds can only be a whole number. You cannot have a fractional or continuous value for the number of dog sleds used.

On the other hand, the following option is not a discrete random variable:

The amount of gas in your car: This is a continuous random variable because the amount of gas can be any non-negative real number. It can have fractional or continuous values, such as 10.5 liters or 20.25 gallons. Option 1,2,3,4 and 5

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On solving the provided question we can say that by factorization are

x(x-3) + 2(x-3) ⇒(x-3)(x+2) ⇒ x = 3, -2

A number or other mathematical object is factored, or written as the product of numerous factors—typically smaller or simpler things of the same kind—in mathematics. For instance, the integer 15 is factorized as 3 5, which is the factorization of the polynomial x2 – 4. Factorization in mathematics refers to the breakdown of a number into smaller numbers that are multiplied together to produce the original number. Factorization is the division of a number into its factors or factors. 12 is multiplied by 3 and 4 as an example.

the polynomial is as =  x^2 + 14x + 48

by factorization are

x(x-3) + 2(x-3)

(x-3)(x+2)

x = 3, -2

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In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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Answer:

Step-by-step explanation:

Total of 2 days

Total of 3 days - $1294.77

Sunday

As the number of people visiting each day is the same 404 people visited on Sunday.

We have,

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday and the number of people who visited on each day is the same.

As the number of visitors is same on each day and the total number of days is three each they the number of people visited is,

= (1212/3).

= 404.

So, On Sunday 404 visitors were there.

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complete question:

The water park had a total of 1,212 visitors on Friday, Saturday, and Sunday. If the same number of people visited each day, how many visitors were there on Sunday

Answer:

The diameter is 10, so the radius is 5.

\( {(x + 7)}^{2} + {(y + 3)}^{2} = 25 \)

The values of a, b and c based on the information will be 2, 3, 4.

The square root of c which is 4 will be 2.

From the information, it was stated that the sum of the three consecutive integers, a, b and c, is 9.

This can be Illustrated as:

a + a + 1 + a + 2 = 9

3a + 3 = 9

3a = 9 - 3

a = 6 / 3

a = 2

b will be 2 + 1 = 3

c will be 2 + 2 = 4

The square root of c which is 4 will be:

= ✓4

= 2

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The sum of three consecutive integers, a, b and c, is 9.

(a) What is the greatest possible value of b?

(b) Find the square root of the largest possible value of c.

Answer:

C is the correct answer.

Step-by-step explanation:

\( {x}^{2} - 8x + 97 = 0\)

\( {x}^{2} - 8x = - 97\)

\( {x}^{2} - 8x + 16 = - 81\)

\( {(x - 4)}^{2} = - 81\)

x - 4 = 9i or x - 4 = -9i

x = 4 + 9i or x = 4 - 9i

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.

Answer:

50 % of 44

= 50/100 × 44

= 1/2 × 44

= 44/2

= 22

A. The value of the parameter is 0.1002 km⁻¹

B. The probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value is 0.651.

a. We are given that the density function of the double exponential distribution is:

f(x) = λ/2 * exp(-λ|x|)

where λ is the parameter to be determined.

We know that the standard deviation of this distribution is 40.9 km. The standard deviation of a double exponential distribution is given by:

σ =√(2)/λ

Substituting σ = 40.9 km, we get:

40.9 = √(2)/λ

λ = √2)/40.9

λ ≈ 0.1002 km⁻¹

b. To find the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value, we need to find the probability that the random variable X lies between µ - σ and µ + σ, where µ is the mean value of the distribution.

The mean value of a double exponential distribution is given by:

µ = 0

So, we need to find the probability that |X| < σ, which can be written as:

P(-σ < X < σ) = P(X < σ) - P(X < -σ)

Using the cumulative distribution function (CDF) of the double exponential distribution, we get:

P(X < σ) = (1/2) * [1 - exp(-λσ)]

P(X < -σ) = (1/2) * [1 - exp(λσ)]

Substituting λ ≈ 0.1002 km^-1 and σ = 40.9 km, we get:

P(-σ < X < σ) = P(X < σ) - P(X < -σ) ≈ 0.651

Therefore, the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value is approximately 0.651.

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Answer:

4x²

Step-by-step explanation:

Given expression:

\(\left(16x^4\right)^\frac{1}{2}\)

Rewrite 16 as 4²:

\(\left(4^2x^4\right)^\frac{1}{2}\)

\(\textsf{Apply exponent rule} \quad (a^b \cdot c^d)^n=a^{bn} \cdot c^{dn}\)

\(\implies 4^{2 \cdot \frac{1}{2}} \cdot x^{4 \cdot \frac{1}{2}}\)

Simplify:

\(\implies 4^{\frac{2}{2}} \cdot x^{\frac{4}{2}}\)

\(\implies 4^{1} \cdot x^2}\)

\(\implies 4x^2\)

Answer:

$3903.17

Step-by-step explanation:

12 months in a year.

46,838 / 12 = $3903.17

Answer:

3,903.20

Step-by-step explanation:

Divide by 12 because there is 12 moths in a year

3,903.16667

Answer: The answer Is conic

Step-by-step explanation:

We will have the following:

So, its zeros are x = -3, x = 0 & x = 3.

The angle of elevation to the top of the tree from where Jacob is standing is 16.1°.

The angle of elevation can be found after we find the height of the tree.

Therefore,

tan 22° = opposite / adjacent

tan 22° = h / 25

cross multiply

height of the tree = 25 tan 22

height of the tree = 10.1006556459

Therefore,

The angle of elevation from where Jacob is standing is as follows;

tan ∅ = opposite / adjacent

tan ∅ = 10.1006556459 / 35

∅ = tan⁻¹ 0.28859014285

∅ = 16.0976110163

∅ = 16.1°

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Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.

Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.

Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.

Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.

Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.

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Answer:

8.8 or 9 laps

Step-by-step explanation:

2 miles = 3520 yards

3520 / 400 = 8.8

But if you round it up, it's 9.

Hope that helps

Tyler needs to run 9 full laps to cover at least 2 miles.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given that a track is 400 yards around.

We have to find the number of full laps does tyler need to run if he wants to run at least 2 miles

Lets convert mile to yards

One mile is equal to 1760 yards

Now two miles is equal to 2×1760 yards

2 miles = 3520 yards

Since the track is 400 yards around

Tyler needs to run 3520/400

= 8.8 laps to cover 2 miles.

Therefore, Tyler needs to run 9 full laps to cover at least 2 miles.

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Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.

Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.

Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.

∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.

The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.

Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.

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Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

Answer:

a is your answer!!

Step-by-step explanation:

Hope this Helps!!!

In a paired design, each pair of observations does not necessarily consist of measuring the same individual twice. Instead, a paired design involves matching pairs of individuals or units based on certain criteria or characteristics and then measuring each individual in the pair under different conditions or at different time points.

This design is often used to compare the effects of different treatments or interventions within the same individuals or to control for individual-specific factors. In a paired design, the pairing could be based on various factors such as age, gender, pre-existing conditions, or other relevant characteristics. For example, in a study evaluating the effectiveness of a new medication, researchers may pair individuals with similar characteristics (e.g., age, gender, severity of the condition) and then administer the new medication to one individual in each pair while providing a placebo to the other individual. By measuring the outcomes within each pair, the researchers can directly compare the effects of the medication and the placebo within the same individuals.

The key aspect of a paired design is that the pairs are matched based on certain criteria, and each pair represents a unique combination of individuals. This allows for a more controlled comparison within the pairs and helps minimize the influence of individual-specific factors on the outcomes of interest.

In summary, a paired design involves matching pairs of individuals based on certain characteristics and comparing the outcomes within each pair. It does not require measuring the same individual twice but rather focuses on comparing different conditions or treatments within matched pairs of individuals.

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Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

The given distribution is Normal with a mean of μ = 140 and a standard deviation of σ = 10. Using the empirical rule, we can find the percentage of the total credits earned by students that are less than 140 credits.

The given distribution is Normal with a mean of μ = 140 and a standard deviation of σ = 10. Using the empirical rule, we can find the percentage of the total credits earned by students that are less than 140 credits:

68% of the total credits lie within one standard deviation of the mean. Therefore, the percentage of total credits that are less than 140 credits is 50%. The empirical rule is also called the 68-95-99.7 rule. The empirical rule is a statistical concept that indicates the proportion of the data that falls within certain standard deviations from the mean of a normal distribution. Therefore, the percentage of total credits that are less than 140 credits is 50%.

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Let x, y, and z be the number of calls Kira received during the first, second, and third day, respectively. Therefore, the equations are

Solve the system of equations as shown below

Use the value of x to find y and z,