Unit rates and ratios need help will give brainiest

The limit of the given Riemann sum is 256.

The given expression represents a Riemann sum for the function f(x) = 3x^3 - 9x over the interval [2, 6], where xi* is any point in the ith subinterval, and δx = (b-a)/n is the width of each subinterval.

Using the formula for the Riemann sum with right endpoints, we have xi* = 2 + iδx for i = 1, 2, ..., n. Substituting these values, we get:

n i=1 [3(xi*)^3 − 9xi*]δx = δx [3(2 + δx)^3 - 9(2 + δx) + 3(2 + 2δx)^3 - 9(2 + 2δx) + ... + 3(2 + nδx)^3 - 9(2 + nδx)]

= δx [3(2^3 + 3(2^2)δx + 3(2)(δx^2) + (δx)^3) - 9(2 + δx) + 3(2^3 + 3(2^2)(2δx) + 3(2)(4δx^2) + (8δx)^3) - 9(2 + 2δx) + ... + 3( (2 + nδx)^3) - 9(2 + nδx)]

= δx [3(8 + 12δx + 6δx^2 + δx^3) - 9(2 + δx) + 3(8 + 24δx + 24δx^2 + 8δx^3) - 9(2 + 2δx) + ... + 3((2 + nδx)^3) - 9(2 + nδx)]

= δx [3(8 + 12δx + 6δx^2 + δx^3) + 3(8 + 24δx + 24δx^2 + 8δx^3) + ... + 3((2 + nδx)^3) - 9(nδx)]

= δx [3(8n + 12δx(n(n+1)/2) + 6δx^2(n(n+1)(2n+1)/6) + δx^3(n^2(n+1)^2/4)) - 9(nδx)]

Taking the limit as n tends to infinity, we have δx = (6-2)/n = 4/n and nδx = 4. Therefore, the expression simplifies to:

lim n→[infinity] n i=1 [3(xi*)^3 − 9xi*]δx = lim n→[infinity] 4 [3(8n + 12(4/n)(n(n+1)/2) + 6(4/n)^2(n(n+1)(2n+1)/6) + (4/n)^3(n^2(n+1)^2/4)) - 9(4)]

= lim n→[infinity] 4 (96n + 64 + 64 + 64) - 144 = 256

Therefore, the limit of the given Riemann sum is 256.

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a). The equation will have only one solution, resulting in a line.

b). The equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

We need to consider the equation in the form of a matrix. Let's say we have a matrix A.

a) If det(A) = 0, it means that the determinant of matrix A is equal to zero. In this case, the graph of the equation represented by matrix A will be a line.

This is because a determinant of zero indicates that the matrix is singular, meaning it does not have an inverse. Consequently, the equation will have only one solution, resulting in a line.

b) On the other hand, if det(A) ≠ 0, it means that the determinant of matrix A is not equal to zero. In this scenario, the graph of the equation represented by matrix A will consist of two intersecting lines.

This is because a non-zero determinant signifies that the matrix is nonsingular, implying that it has an inverse. As a result, the equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

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Step-by-step explanation:

= 23 × 11 - 23 × 10

= 23 ( 11 - 10)

= 23 ( 1)

= 23

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

f(1) = 2, f(4) = 8

Step-by-step explanation:

f(1) in the interval - 3 < x ≤ 1 , then f(x) = x + 1 , so

f(1) = 1 + 1 = 2

f(4) in the interval 1 < x ≤ 4 , then f(x) = 2x , so

f(4) = 2 × 4 = 8

Answer: (poq)(x)=-x+6

(qop)(x)=-x+4

Step-by-step explanation:

p(x) = -x + 5

q(x) = x - 1

(poq)(x) =

p(q(x))=

p(x-1)=

-(x-1)+5=

-x+1+5=-x+6

(qop)(x)=

q(p(x))=

q(-x+5)=

-x+5-1=-x+4

Answer: 2.6

Step-by-step explanation:

1.25 + 1.35 = 2.6

Answer:

1.25+1.35=2.6

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Good luck! :)

136 rounded to its nearest ten is 140.

The place value of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

136

6 is in one place value.

3 is in ten place value.

1 is in hundreds place value.

Now,

Rounding to its nearest ten.

It will round to either round to 130 or 140.

Now,

Round it to 130 if the value is less than 135.

Round it to 140 if the value is equal to or greater than 135.

So,

136 > 135 it will round to 140.

Thus,

136 rounded to its nearest ten is 140.

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The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

BC

Step-by-step explanation:

because they never intersect each other

The explicit formula for a arithmetic sequence is a_n = a_1 + (n - 1)d.

We want to find a_21.

a_21 = 17 + (21 - 1)(10)

a_21 = 17 + (20)(10)

a_21 = 17 + 200

a_21 = 217

The 21st term is 217.

The exact values of the trigonometric functions for the angles are

\(For \ \theta\ = 5\pi /2:\)

\(sec(\theta) = DNE\\csc(\theta) = -1\\tan(\theta) = DNE\\cot(\theta) = DNE\)

\(For \theta = \pi :\\sec(\theta) = -1\\csc(\theta) = DNE\\tan(\theta) = 0\\cot(\theta) = DNE\)

To find the exact values of the trigonometric functions, we need to use the definitions of these functions and the given angles.

\(For \ \theta = 5\pi /2:\)

- sec(θ) is undefined because sec(θ) = 1/cos(θ), and cos(θ) is undefined at θ = 5\(\pi\)/2.

- csc(θ) = 1/sin(θ), and sin(θ) = -1 at θ = 5π/2, so csc(θ) = -1.

- tan(θ) is undefined because tan(θ) = sin(θ)/cos(θ), and both sin(θ) and cos(θ) are undefined at θ =  5\(\pi\)/2.

- cot(θ) is also undefined because cot(θ) = 1/tan(θ), and tan(θ) is undefined.

For θ = \(\pi\):

- sec(θ) = 1/cos(θ), and cos(θ) = -1 at θ = \(\pi\), so sec(θ) = -1.

- csc(θ) is undefined because csc(θ) = 1/sin(θ), and sin(θ) is undefined at θ = π.

- tan(θ) = sin(θ)/cos(θ), and both sin(θ) and cos(θ) are 0 at θ= \(\pi\), so tan(θ) = 0.

- cot(θ) is undefined because cot(θ) = 1/tan(θ), and tan(θ) is 0.

Therefore, for the given angles, the exact values of the trigonometric functions are as follows:

For θ = 5\(\pi\)/2:

sec(θ) = DNE

csc(θ) = -1

tan(θ) = DNE

cot(θ) = DNE

For θ = \(\pi\):

sec(θ) = -1

csc(θ) = DNE

tan(θ) = 0

cot(θ) = DNE

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Answer:

180

Step-by-step explanation:

The two angles on the line should add up to 180! Because a straight line is 180 degrees!

12 words is 3/4 or 75% of the list

How many words are=

Find 100- 75=25%

25%= 1/4 = 3/4÷3

Then divide 75%/3= 12/3= 4

Now add 12words + 4 words = 16 words

Then answer is, there are 16 words

In bayes theorem, you have some starting information, then you collect some new information so that you can UPDATE the original probabilities so you now have better information.

The Bayes' theorem, commonly referred to as the Bayes' rule, is a mathematical formula used in statistics and probability theory to calculate the conditional probability of events. The Bayes theorem essentially describes the likelihood of an event based on prior knowledge of any circumstances that might be relevant to the event.

P(A|B) = \(\frac{ P(A) P(B|A)}{P(B)}\)

So it is always the case of conditional probability.

Hence, the original probability is always updated in case of Baye's theorm.

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Answer:

x = 8

Step-by-step explanation:

Vertically opposite angles are congruent.

          5x + 9 = 57 - x

 Add x to both sides,

      5x +x + 9 = 57

           6x + 9 = 57

Subtract 9 from both sides,

                  6x = 57 - 9

                  6x = 48

Divide both sides by 6,

                 x = 48 ÷ 6

                x = 8

Linear regression forecasting is an algorithm used for identifying and predicting the future values of a dependent variable based on the independent variable.

The major restriction in linear regression forecasting is that it only takes into account the linear relationship between the dependent and independent variables.

The model assumes that the relationship between the dependent and independent variable is linear and not nonlinear. This assumption may not always be true because there might be cases where the relationship between the variables is non-linear, which can result in inaccuracies in the forecast.

The model's reliability is also based on the quality of the data used for regression analysis. If the data is incorrect, outdated, or incomplete, the accuracy of the model can be negatively affected. Another limitation is that the model assumes that the relationship between the dependent and independent variables is constant over time, which may not be true in the real world.

Also, linear regression is a parametric method that requires certain assumptions about the data, including the normality of the residuals and constant variance of the errors.Linear regression forecasts require data to be independent and unbiased and may not work well if data contains outliers or noise.

Linear regression cannot identify causality or differentiate between correlation and causality. Hence, it is recommended to use linear regression along with other techniques for better accuracy.

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It is sampled at a rate 25% higher than the Nyquist rate and quantized into L levels. The maximum acceptable error in sample amplitudes is limited to 0.1% of the peak signal amplitude.

To sketch the amplitude spectrum of g(t), we observe that sinc functions centered at 16 kHz and 10 kHz contribute amplitudes of 16x10³ and 10x10³, respectively, while the cosine component centered at 30 kHz has an amplitude of 20x10³. The horizontal axis represents the frequency (f).

The amplitude spectrum of the sampled signal, within the range -50 kHz to 30 kHz, will exhibit replicas of the original spectrum centered at multiples of the sampling frequency. The amplitudes and frequencies should be labeled according to the replicated components.

The minimum required bandwidth for binary transmission can be determined by considering the highest frequency component in g(t), which is 30 kHz. Therefore, the minimum required bandwidth will be 30 kHz.

For M-ary multi-amplitude signaling within a channel bandwidth of 50 kHz, we need to find the minimum value of M. It can be determined by comparing the available bandwidth with the required bandwidth for each amplitude component of g(t). The minimum M will be the smallest number of levels needed to represent all the significant amplitude components without violating the bandwidth constraint.

To minimize M, we need to select a pulse shape that achieves the narrowest bandwidth while maintaining an acceptable level of distortion. Different pulse shapes can be considered, such as rectangular, triangular, or raised cosine pulses.    

If a raised cosine pulse is used, the roll-off factor determines the pulse shape's bandwidth efficiency. The roll-off factor is defined as the excess bandwidth beyond the Nyquist bandwidth. The required M can be calculated based on the available channel bandwidth, the roll-off factor, and the distortion tolerance.

When using delta modulation with a sampling rate of five times the Nyquist rate, the number of levels (L) and corresponding bit rate can be determined by considering the quantization error and the maximum acceptable error in sample amplitudes. The bit rate will be determined based on the number of bits required to represent each level and the sampling rate.  

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Answer:

no

Step-by-step explanation:

2/6 simplifies to 1/3 and 2/4 simplifies to 1/3. 1/2 is greater than 1/3

Answer:

2.1818

Step-by-step explanation:

Hope it helped!

x represents the cost of each bottle of juice. Given that he bought a pack containing 6 bottles of juice, the cost of the 6 pack juice bottles would be $6x

Given that the total cost of a bag of popcorn which costs $2.11 and a 6-pack of juice bottles is $11.41, it means that

2.11 + 6x = 11.41

6x = 11.41 - 2.11

6x = 9.3

x = 9.3/6

x = 1.55

The cost of each bottle of juice is $1.55

After about 1.5 hours, David and Amy will be exactly 23 miles apart.

When we're talking about two people or objects moving in different directions, we should use the Pythagorean Theorem to solve problems like this.

When we apply the theorem to this problem,

we get the following equation:

a² + b² = c²

where,

a = 17t,

b = 15t and

c = 23

We can substitute these values into the equation and solve for t:

a² + b² = c²(17t)² + (15t)²

= 23²t² 289t² + 225t²

= 529t² 514t²

= 529t² - 514t²

t² = 23² / (529 - 514)

t² = 23 / 15t = √(23 / 15)

t ≈ 1.5

Therefore, after about 1.5 hours, David and Amy will be exactly 23 miles apart.

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Answer:

Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.

Let the height of the balloon from the ground be AB=hmetres.

In a right angled triangle ACB

BC

AB

=sin60

∘

⇒

200

h

=

2

3

since

sin60

∘

=

2

3

⇒h=200×

2

3

⇒h=100

3

∴h=100×1.732=173.2 since

3

=1.732

Hence, the height of the balloon above the ground is 173.2m

By inscribing the given information in a right triangle, we will see that the ballon is 167.7 meters above the ground.

Think in the situation as in a right triangle, you have a hypotenuse that is equal to the length of the cable, you know one angle of 57°, and the opposite cathetus to this angle represents the height at which the ballon is, this is what we want to find.

Using the relation:

sin(θ) = (opposite cathetus)/hypotenuse.

Where:

Replacing that we get:

sin(57°) = height/200m

sin(57°)*200m = height = 167.7m

So the balloon is 167.7 meters above the ground.

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There are no reflectional symmetries of the given figure of the letter 'F'.

Symmetry is an axis around which the object looks similar and faces opposite to each other. therefore, the line of symmetry acts as a mirror for the object.

As we can see that the given figure is the image of the letter 'F', and the letter 'F' is not symmetric about any of the axis as shown below.

Hence, there are no reflectional symmetries of the given figure of the letter 'F'.

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9514 1404 393

Answer:

  Compounded continuously, $5,02

Step-by-step explanation:

Compounded quarterly, the amount in the account will be ...

  A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89

Compounded continuously, the amount in the account will be ...

  A = 6500e^(.0325·5) = 7646.91

So, the account compounding continuously has the higher yield, by the amount of ...

  $7646.91 -7641.89 = $5.02

The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.

A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.

However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.

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Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

it will be 175 / 100 = 7 / 4 okay

Answer:

b

Step-by-step explanation: