What is the correct answer?

The correct option is: b. f is continuous but not differentiable at x=2.

f(x) = (5x-3) for x > 2There is only one condition for the function to be continuous and differentiable at a point ‘c’ that is f(x) is continuous at x = c and limit of f(x) at x = c exists and equal to f’(c). Now, if we apply this condition in our given function we have;For x > 2; f(x) = (5x-3)Therefore, f(2) does not exist, therefore, f is not continuous at x=2. Hence, option A is incorrectNow we need to find the derivative of the function at x=2;f(x) = 5x - 3dy/dx = 5The derivative of the function exists and is equal to 5. Therefore the limit of the function at x=2 does not exist, hence the function is not differentiable at x=2.Therefore, the correct option is: b. f is continuous but not differentiable at x=2.

The main point is the limit of the function. For the function to be differentiable at a point, the limit of the function should exist and be equal to the derivative at that point.Let's check the continuity of the function at x=2.For x > 2; f(x) = (5x-3)For x=2, f(x) does not exist as x is defined only for x>2. Therefore, the function is not continuous at x=2.Now we will check the differentiability of the function at x=2.f(x) = 5x - 3dy/dx = 5For x=2, the limit of the function does not exist and it is not equal to the derivative at that point. Hence, the function is not differentiable at x=2.So, the correct option is b. f is continuous but not differentiable at x=2.

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Answer:

false

Step-by-step explanation:

The left side equals 0.01

The right side equals 0.4

The two sides are not equal. This is a false equation.

Answer:0.01=0.0001

Step-by-step explanation:

Correct. The assumption that the sample size should be at least 25 is correct. This is because, for a sample to be representative of the population, it should have enough observations to provide a reasonable estimate of the population parameters.

A sample size of at least 25 is generally considered the minimum requirement for statistical analysis. The statement about the remaining assumption is correct. In order to make valid inferences from a random sample, it is important to have a large enough sample size (n). A common rule of thumb is that the sample size should be at least 25. This helps to ensure that the sample is representative of the population and increases the accuracy of the results.

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Answer:

35 cm.

Step-by-step explanation:

Let x% of 2 metres is 35 cm.

Then

100

200x

=35 [Since 2 m = 200 cm]

or, x = 17.5

So 17.5% of 2 metres is 35 cm.

The 3 centimeters as a percentage of 6 meters is 0.5 % .

Percentage, which may also be referred to as percent, is a fraction of a number out of 100%. Percentage means "per 100" and denotes a piece of a total amount. For example, 45% represents 45 out of 100, or 45% of the total amount.

According to the question

3 centimeters as a percentage of 6 meters.

1 meter = 100 centimeters

6 meter = 600 centimeters

Now,

Percentage of 3 centimeters over 600  centimeters  

Percentage = \(\frac{3}{600} * 100\)

                   = 0.5 %

Hence, The 3 centimeters as a percentage of 6 meters is 0.5 % .

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Step-by-step explanation:

4(5x²) + 16 = 400

5x² + 4 = 100

5x² = 96

x² = 19.5

x = ±sqrt(19.5) = ±4.415880433...

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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Answer: 1.2%

Step-by-step explanation:

Answer:

A = (1,3)

B = (5,4)

C = (5,8)

D = (1,7)

Step-by-step explanation:

Answer:

A is (1,3) B is (5,4) C is (5,8) D is (1,7)

Hope this helps

answer:

you mean money? then i would take like 10-15 dollars, cause that is a LOT of work.

Expected return for the marketE(RM) = ∑ Pr(RM) = 0.3(-10%) + 0.4(10%) + 0.3(30%)= -3% + 4% + 9%= 10%Therefore, the expected return for the market is 10%Expected return for Security JE(RJ) = ∑ Pr(RJ) = 0.3(40%) + 0.4(-20%) + 0.3(30%)= 12% - 8% + 9%= 13%Therefore, the expected return for Security J is 13%..

The above calculation represents the probability distributions of returns for the market and Security J. From the above calculation, it can be observed that the expected return for the market is 10%.

The expected return is a prediction that helps investors to get an idea about the possible returns of an investment.

The expected return is calculated by multiplying each possible outcome by its corresponding probability and then adding all the products.

By calculating the expected return for the market, investors can predict the market performance and make investment decisions accordingly. Similarly, the expected return for Security J is 13%, which implies that Security J has a higher expected return than the market.

By analyzing the expected return, investors can decide which investment would be more profitable for them.

In conclusion, the expected return for the market and Security J can be calculated using probability distribution. The calculation of the expected return is beneficial for investors to understand the market performance and make investment decisions accordingly.

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There are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

Given that there is total sales of 1790 prints of one of the drawings by Mr, Caradang. Out of which 1273 unframed prints, 152 were small, 544 were medium. Out of the framed prints 23 were small,42 were extra large. Out of large prints 188 were framed, 496 were unframed.

We are required to find the number of small prints,medium prints, large .extra large in total and  total framed print of the drawings.

Total framed print=Small print+Medium print+Large print+Extra large print

=23+264+188+42

=517

Unframed print:

Small=152

Medium=544

Large=496

Extra large=81

Total unframed print=Small+Medium+large+extra large

=152+544+496+81

=1273.

Hence there are 23 small prints, 264 medium prints ,188 large prints and 42 extra large prints which are being sold by Mr. Carandang.

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Answer:

Part A 70x+50=250

Part B(75x + 35) = 250 - 5x

Step-by-step explanation:

Here to form an equation you must add all the money that she earned and subtract the money that she had to spend We dont know how many car washes she did, so we must represent it with a variable, or x.

Answer:

Step-by-step explanation:

Part A: Rhett washed 3 cars and earned $50 in tips. y=70x+50

Part B: $75 - $5 = $70 (this is the amount charged minus the amount needed to get the job done per car wash)

the +35 is the tips extra/ constant that will be added after the jobs are done.

x is the number of car washes done

y would be the profit received.

so y = 70x + 35 (profit = value of car wash * number of cars washed + tips)

Answer:

solution:7c+5

Answer:

72

Step-by-step explanation:

8 x 3² = 8 x 3 x 3

          = 8 x 9

          = 72

[P.S. If you meant (8 x 3)² the answer is:

(8 x 3)² = (24)²

            = 24 x 24

            = 576     ]  

Answer:

y+4 _<_ 10

Step-by-step explanation:

Answer:

4+y>10

Step-by-step explanation:

Pls give Brainliest!

The edge where two colors meet and the visual line formed by a row of people waiting are examples of Implied lines.

Define vertical lines?

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Answer:

200 feet

Step-by-step explanation:

I believe you can use cosine 60° (which is 0.5) and set it equal to x/400

.5 = x

     400

x = 200

Answer:

2 cups

Step-by-step explanation:

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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The Lateral Surface Area of Cylinder 460π and volume is 2300π unit³.

We know the Formula for LSA of cylinder is

= 2πrh

Here, radius of cylinder = 20/2 = 10

Height of cylinder= 23

So, the Lateral Surface Area of Cylinder

=  2πrh

= 2 x 3.14 x 10 x 23

= 1444.4 unit²

= 460π

Now, Volume of cylinder

= πr²h

= π x 100 x 23

= 2300π unit³

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Answer:

Incorrect

Step-by-step explanation:

When you subtract a negative number it changes it to adding a positive number according to math rules.

6 - (-8) -> 6 + 8

Best of Luck!

Answer:

if Bob rewrite the expression 6-(-8) as 6-(+8) it will be incorrect.

Step-by-step explanation:

If Bob rewrite the expression, 6-(-8) as 6-(+8) he will be incorrect because if he right 6-(-8) as 6-(+8) it will be completely incorrect as if we open the bracket of 6-(-8) it becomes 6+8which is 14 but if we opens open the bracket of 6-(+8) which is -2 and hence simplify will be totally incorrect .Thus,bob should not rewrite the expressions, 6-(-8) as 6-(+8).

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

Answer:

60

Step-by-step explanation:

The measurement of the angle Q will be equal to 60°.

An isosceles trapezoid is a convex quadrilateral with one pair of opposite sides bisected by a line of symmetry. It is a subset of the trapezoid. It can also be defined as a trapezoid with equal lengths for both legs and base angles.

Given that the angle S= 120. The measure of the angle Q will be calculated as:-

∠Q = ∠R = 120°

The pair of the two angles with the two parallel lines are supplementary.

∠R + ∠Q = 180

120 + ∠Q = 180

∠Q = 180 - 120 = 60

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Hey there here is ur answer!

0.24 in percent = 24%

Well all u gotta do is multiply 0.24 or any other decimal number with 100 to represent it in percent.

HOPE IT MAKES UR DAY BRIGHTER!!

If we continue to iteratively solve for x and y, what would x and y converge to? To find the convergence of x and y, we need to consider the iterative process and observe the changes in their values over time.

Let's assume we have a system of equations:

x = f(x, y)
y = g(x, y)

To solve this system iteratively, we can start with initial values of x and y and substitute them into the equations to obtain new values for x and y. We repeat this process until the values of x and y stabilize, which indicates convergence.
Here are the steps to find the convergence:

Start with initial values for x and y.
Substitute these values into equations 1 and 2 to obtain new values for x and y.
Repeat step 2 for a large number of iterations.
Compare the values of x and y in each iteration.
If the values of x and y stabilize (do not change significantly), then they have converged.

The convergence of x and y will depend on the specific functions f(x, y) and g(x, y) in the equations. It is not possible to determine the convergence without knowing these functions.

In conclusion, to find the convergence of x and y when solving iteratively, we need to follow the steps mentioned above and consider the specific equations being used.

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Answer

 h = √ (96 / 8) = √12 ft

P=100 watts

Step-by-step explanation:

Step-by-step explanation:

She made a sign error when multiplying and should have had 256 as a final answer.

Answer:

It is d

Step-by-step explanation:

Please  mark brainliest

Input quantity: Time t in years since it was planted

Output quantity: Height h in feet of the tree.

Input variable: time t

Output variable: height h.

Ordered pairs are represented as (t, h).

Use function notation to illustrate the relationship between h and t.

h = f(t) where f is a function of time t.

The notation h(20) = 60 means that when the tree is 20 years old, its height is 60 feet. It means that after 20 years of planting the tree, its height is 60 feet.

The input quantity is time, the output quantity is height, the input variable is t, and the output variable is h. The relationship between height and time can be expressed as a function h = f(t).

Finally, the function notation h(20) = 60 means that the tree's height is 60 feet after 20 years.

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Answer:

y - 3 = - 5(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (- 1, 3 ), then

y - 3 = - 5(x - (- 1) ) , that is

y - 3 = - 5(x + 1)

Answer:

Step-by-step explanation:

point slope formula is:   y-y1 = m(x-x1)  ( memorize this formula there is also slope intercept)

now plug in your point and slope where m = slope and the number of the given point are (x1,y1)

y-3 = -5(x-(-1))

y-3 = -5(x+1)

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\sigma)= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n=\((2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5\()^2\)

n=(15.996\()^2\)

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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