what is 1 + 1
if the answer is 2 then why is it 2​

The left right hand derivative is 3.

The left hand derivative is 2.

The function is not differentiable at x = 1.

When x < 1,

given that the function is, f(x) = 2x² - 2x - 1

Differentiating with respect to 'x' we get, f'(x) = 4x - 2

When x \(\geq\) 1,

given the function is, f(x) = 3x - 3

Differentiating with respect to 'x', f'(x) = 3

Now, left hand derivative,

f'(1 -) = (4x - 2) at 1 = 4*1 - 2 = 4 - 2 = 2

f'(1+) = 3

Since, left hand derivative and right hand derivative for given function at x =  1 is not equal, so the function is not differentiable at x = 1.

To know more about differentiable here

https://brainly.com/question/15406243

#SPJ1

Answer:

djal3924+3820&282039392#283830818385

The line integral of xy dx + x^2 dy around the given rectangle is 0.

To evaluate the line integral ∮C (xy dx + x^2 dy) along the given rectangle C with vertices (0, 0), (5, 0), (5, 1), and (0, 1), we can break it down into four line integrals along each side of the rectangle and sum them up.

Along the bottom side:

Parametrize the line segment from (0, 0) to (5, 0) as r(t) = (t, 0), where t ranges from 0 to 5. The differential element along this line segment is dr = (dt, 0). Substituting these values into the line integral, we get:

∫[0,5] (t*0) dt = 0.

Along the right side:

Parametrize the line segment from (5, 0) to (5, 1) as r(t) = (5, t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, dt). Substituting these values into the line integral, we get:

∫[0,1] (5t0 + 25dt) = ∫[0,1] 25*dt = 25.

Along the top side:

Parametrize the line segment from (5, 1) to (0, 1) as r(t) = (5-t, 1), where t ranges from 0 to 5. The differential element along this line segment is dr = (-dt, 0). Substituting these values into the line integral, we get:

∫[0,5] ((5-t)*0 + (5-t)^2 * 0) dt = 0.

Along the left side:

Parametrize the line segment from (0, 1) to (0, 0) as r(t) = (0, 1-t), where t ranges from 0 to 1. The differential element along this line segment is dr = (0, -dt). Substituting these values into the line integral, we get:

∫[0,1] (0*(1-t) + 0) dt = 0.

Summing up all the line integrals, we have:

0 + 25 + 0 + 0 = 25.

Therefore, the line integral of xy dx + x^2 dy around the given rectangle is 25.

For more questions like Line integral click the link below:

https://brainly.com/question/32517303

#SPJ11

Answer:

angle 1

Step-by-step explanation:

Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.

This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.

Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.

Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.

Answer:

Step-by-step explanation:

The symbolic forms for the given statements are: (b) p ∨ r, (c) p ∧ q, (d) q ~ r, and (e) p ∨ q. Statement (a) cannot be expressed symbolically.

(a) x ≥ 5: This statement represents a numerical inequality, and it cannot be expressed symbolically.

(b) p ∨ r: The symbolic form for the statement "p ∨ r" is a logical disjunction, meaning it represents the logical "OR" operation between the propositions p and r.

(c) p ∧ q: The symbolic form for the statement "p ∧ q" is a logical conjunction, indicating the logical "AND" operation between the propositions p and q.

(d) q ~ r: The symbolic form for the statement "q ~ r" is a negation, where the proposition r is negated, represented by the symbol "~".

(e) p ∨ q: The symbolic form for the statement "p ∨ q" is a logical disjunction, indicating the logical "OR" operation between the propositions p and q.

In logic, different symbols are used to represent various logical operations and relationships between propositions. The statements provided have different symbolic forms based on the logical operations they represent.

The "∨" symbol represents logical disjunction (OR), "∧" symbol represents logical conjunction (AND), and "~" symbol represents negation. It is important to understand the symbolic forms to accurately represent and analyze logical statements.

To learn more about inequality click here

brainly.com/question/30238773

#SPJ11

Answer:

The 2 above the 10 is called a power. It means 10 times itself twice. So 10 times 10 is 100. 3050/100=30.5

Step-by-step explanation:

The length of BE is equal to 4.8 units.

In Mathematics and Geometry, the area of a triangle can be calculated by using this formula:

Area of triangle = 1/2 × b × h

Where:

Based on the information provided above, the area of triangle ABC can be modeled by the following mathematical equation:

Area of triangle ABC = 1/2 × AB × CF   .....equation 1.

Area of triangle ABC = 1/2 × AC × BE   .....equation 1.

By equating equations 1 and 2, we have:

1/2 × AC × BE = 1/2 × AB × CF

BE = (AB × CF)/AC

BE = (6 × 4)/5

BE = 24/5

BE = 4.8 units.

Read more on area of triangle here: brainly.com/question/12548135

#SPJ1

The polar coordinates of the point (2√3, 2) are (4, arctan(1/√3)) when r > 0 and (−4, arctan(1/√3) + π) when r < 0. For the point (2, -1), the polar coordinates are (√5, arctan(-1/2)) when r > 0 and (−√5, arctan(-1/2) + π) when r < 0.

a) The polar coordinates (r, θ) of the point (2√3, 2), where r > 0 and 0 ≤ θ ≤ 2π, can be found using the formulas r = √(x^2 + y^2) and θ = arctan(y/x). Plugging in the given Cartesian coordinates, we have r = √((2√3)^2 + 2^2) = √(12 + 4) = √16 = 4 and θ = arctan(2/2√3) = arctan(1/√3). Therefore, the polar coordinates are (4, arctan(1/√3)).

b) For the point (2√3, 2), where r < 0 and 0 ≤ θ ≤ 2π, we still calculate the polar coordinates using the same formulas. However, since r < 0, the magnitude of r remains the same, but the angle θ is shifted by π. Therefore, the polar coordinates in this case are (-4, arctan(1/√3) + π).

c) Moving on to the point (2, -1), where r > 0 and 0 ≤ θ ≤ 2π, we apply the formulas r = √(x^2 + y^2) and θ = arctan(y/x). Substituting the given values, we find r = √(2^2 + (-1)^2) = √5 and θ = arctan((-1)/2). Thus, the polar coordinates are (√5, arctan(-1/2)).

d) Lastly, for the point (2, -1), where r < 0 and 0 ≤ θ ≤ 2π, we again use the same formulas. As r < 0, the magnitude of r remains the same, while the angle θ is shifted by π. Hence, the polar coordinates in this case are (-√5, arctan(-1/2) + π).

To learn more about Polar coordinates, visit:

https://brainly.com/question/7009095

#SPJ11

a) The probability that an incoming call is for medical assistance is 0.85. In statistical notation, this can be represented as:P(Medical Assistance) = 0.85

b) Probability that a call is not for medical assistance:P(Not Medical Assistance) = 1 - P(Medical Assistance)

P(Not Medical Assistance)= 1 - 0.85= 0.15

c) Assuming the successive calls are independent of one another, the probability that two successive calls will both be for medical assistance:P(Medical Assistance) × P(Medical Assistance) = 0.85 × 0.85= 0.7225

d) Still assuming independence, the probability that for two successive calls, the first is for medical assistance and the second is not for medical assistance:P(Medical Assistance) × P(Not Medical Assistance) = 0.85 × 0.15= 0.1275

e) Still assuming independence, the probability that exactly one of the next two calls will be for medical assistance can be calculated using the binomial distribution.There are two possible outcomes, which are: First call is for medical assistance and second call is not for medical assistance OR First call is not for medical assistance and second call is for medical assistance.

The probability of exactly one of these two outcomes occurring is:P(Medical Assistance) × P(Not Medical Assistance) + P(Not Medical Assistance) × P(Medical Assistance)= 0.85 × 0.15 + 0.15 × 0.85= 0.255

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

14

Step-by-step explanation:

(I go to a french school, so excuse my terminology, which might not always be correct)

The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.

GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.

2*7 = 14

KL = 14  

Answer:

x=12

Step-by-step explanation:

f(x)=16x-30 and g(x)=14x-6

(f-g)(x)=0

f(x)=16x-30 -(14x-6)

Distribute

     = 16x -30 -14x +6

Combine like terms

     = 16x-14x -30+6

         2x-24

Set this equal to zero

2x-24 =0

Add 24 to each side

2x-24 +24=0+24

2x=24

Divide by 2

2x/2 =24/2

x = 12

Answer:

d= 24

Step-by-step explanation:

-2= d/3 - 10

-6= d-30

-d=-30+6

-d= -24

d= 24

(a)i. Evaluating the constant:

\($$\int_{-1}^{1} c(1+x)(1-2x) dx = 1$$$$\implies c = \frac{3}{4}$$\)

Therefore, the probability density function is:

\($$f(x) = \frac{3}{4} (1+x)(1-2x), -1< x < 1$$\) ii. Plotting the probability density function:

From the graph, it is observed that the density function is skewed to the left.

(b)i. The mean:

\($$E(X) = \int_{-1}^{1} x f(x) dx$$$$E(X) = \int_{-1}^{1} x \frac{3}{4} (1+x)(1-2x) dx$$$$E(X) = 0$$\)

ii. The second moment about the origin:

\($$E(X^2) = \int_{-1}^{1} x^2 f(x) dx$$$$E(X^2) = \int_{-1}^{1} x^2 \frac{3}{4} (1+x)(1-2x) dx$$$$E(X^2) = \frac{1}{5}$$\)

Therefore, the variance is:

\($$\sigma^2 = E(X^2) - E(X)^2$$$$\implies \sigma^2 = \frac{1}{5}$$\)

iii. The standard deviation:

$$\sigma = \sqrt{\sigma^2} = \sqrt{\frac{1}{5}} = \frac{\sqrt{5}}{5}$$(c)

i. The cumulative distribution function:

\($$F(x) = \int_{-1}^{x} f(t) dt$$$$F(x) = \int_{-1}^{x} \frac{3}{4} (1+t)(1-2t) dt$$\)

ii. The probability density function can be obtained by differentiating the cumulative distribution function:

\($$f(x) = F'(x) = \frac{3}{4} (1+x)(1-2x)$$\)

iii. Evaluating\(P(-0.2 < X <0.2):$$P(-0.2 < X <0.2) = F(0.2) - F(-0.2)$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} f(x) dx$$$$P(-0.2 < X <0.2) = \int_{-0.2}^{0.2} \frac{3}{4} (1+x)(1-2x) dx$$$$P(-0.2 < X <0.2) = 0.0576$$\)

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

The number of elements in the sample space for this experiment is 816. So option d) is the correct option.

To calculate the number of elements in the sample space, we need to determine the number of possible combinations of choosing 3 vegetables out of the 18 vegetables on offer.

The number of combinations can be calculated using the formula for combinations, which is given by:

\(C(n, r) = \frac{{n!}}{{r! \cdot (n-r)!}}\)

Where n is the total number of elements and r is the number of elements to be chosen.

In this case, we have 18 vegetables and we need to choose 3 vegetables, so the calculation becomes:

\(C(18, 3) = \frac{{18!}}{{3! \cdot (18-3)!}}\)

Simplifying this expression:

\(C(18, 3) = \frac{{18 \cdot 17 \cdot 16}}{{3 \cdot 2 \cdot 1}} = 816\)

Therefore, the number of elements in the sample space is 816.

Hence, the correct answer is d) 816.

To know more about Expression visit-

brainly.com/question/14083225

#SPJ11

The value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

When the power of a number is raised by another number, then multiply both the powers and the result of this product keep as the power of the number.

Let suppose there is a number a. For this number the above rule can be given as,  

\((a^m)^n=a^{m\times n}\\(a^m)^n=a^{mn}\)

The expression which consist unknown variable y is given as,

\(8^y=16^{y+2}\)

The above equation can be written as,

\((2\times2\times2)^y=(2\times2\times2\times2)^{y+2}\\(2^3)^y=(2^4)^{y+2}\\(2)^{3y}=(2^)^{4y+8}\)

As the base of both side of the equation is same. Thus, the value of their exponent can be compared.

\(3y=4y+8\\4y-3y=-8\\y=-8\)

Thus, the value of unknown number y for the equation  8 superscript y baseline = 16 superscript (y+2) is -8.

Learn more about the  power raised by another number here;

https://brainly.com/question/960886

An equation to model the relationship between the number of weeks, x, and the number of site visits, f(x) is 4800 = a(1.5)^x.

He found that before launching the new marketing plan, there were 4,800 visits.

Over the course of the next 5 weeks, the number of site visits increased by a factor of 1.5 each week.

Over the course of the next 5 weeks, initial visitor at x = 0, 4800

Increasing factor = 1.5

Equation of the model is given as:

f(x) = a(b)^x

From the question b = 1.5

Now the equation of model is:

f(x) = a(1.5)^x

At x = 0, f(x) = 4800

Now the equation of the model is:

4800 = a(1.5)^x

To learn more about equation to model link is here

brainly.com/question/16107051

#SPJ4

Answer:

$1540

Step-by-step explanation:

3/2 x 11/2 = 19 1/4

19 times 4 to find how many 1/4s fit in 19 = 76

Add 1/4 = 77

77 x 2 = 154 feet

154 x 10 = $1540

Answer:

1,120

Step-by-step explanation:

I don’t really know but it’s 1,120

Answer:

A, 1:4

Step-by-step explanation:

15:60 simplified:

3:12

1:4

Answer:980

Step-by-step explanation:If they traveled 140 kilometre in 2 hours, then you do 2 times 7 is 14 and that's how long you are driving, so you do 140 times 7 to see how many kilometres they traveled.

Answer:

Step-by-step explanation:

Rearrange terms -7x+4=4x-128 subtract 4 from both sides. Simplify . subtract 4x from both sides. simplify. divide both sides by the same factor. simplify. Solution x=12

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i is represented by :

C) -5 - 4i.

The conjugate of a complex number with a real part of -5 and an imaginary part of 4i can be found by changing the sign of the imaginary part. In this case, the imaginary part is 4i, so the conjugate will have a negative sign for the imaginary part.

The conjugate of the complex number is given by -5 - 4i. This means that if we have a complex number of the form -5 + 4i, its conjugate will be -5 - 4i. The conjugate of a complex number is important in various mathematical operations, such as complex number multiplication and division, as it helps simplify the expressions and eliminate the imaginary parts when needed.

Among the given options, option C) -5 - 4i represents the conjugate of the complex number with a real part of -5 and an imaginary part of 4i.

The correct question should be :

Which of the following expressions represents the conjugate of a complex number with a real part of -5 and an imaginary part of 4i?

A) 5

B) 4i

C) -5 - 4i

D) -5 + 4i

To learn more about complex numbers visit : https://brainly.com/question/10662770

#SPJ11

If the red team has two bean bags on the board and one in the hole, the blue team has one bean bag in the hole, the red team will score 5 points.

Therefore, the answer is 5.

In this game, a bean bag on the board scores 1 point and a bean bag in the hole scores 3 points.

Here the red team has two bean bags on the board and one in the hole, so their score can be calculated by

Sr = 2 × 1 + 1 × 3

Sr = 5

Here the blue team has one bean bag in the hole, so their score can be calculated by

Sb = 0 × 1 + 1 × 3

Sb = 3

To know more on bean bag

https://brainly.com/question/29245713

#SPJ4

Answer:

x ≈ 3.24

Step-by-step explanation:

using the cosine ratio in the right triangle

cos29° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{3.7}\) ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.24 ( to the nearest hundredth )

To find the equation of the regression line from the given data, we get that the slope of the regression line is approximately 0.735.

We need to calculate the slope and y-intercept. We can use the formula for the slope of the regression line:

slope = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)

where n is the number of data points, Σxy is the sum of the product of each x and y value, Σx is the sum of x values, Σy is the sum of y values, and Σx² is the sum of the squares of the x values.

Using the given data, we get: n = 10Σx = 1+4+6+7+2+7+1+2+6+7 = 43Σy = 8+8+6+6+6+6+4+8+3+3 = 58Σxy = (1x8) + (4x8) + (6x6) + (7x6) + (2x6) + (7x6) + (1x4) + (2x8) + (6x3) + (7x3) = 346Σx² = 1² + 4² + 6² + 7² + 2² + 7² + 1² + 2² + 6² + 7² = 200

Substituting these values into the formula, we get:

slope = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)= (10(346) - (43)(58)) / (10(200) - (43)²)≈ 0.735

Therefore, the slope of the regression line is approximately 0.735.

More on regression line: https://brainly.com/question/29753986

#SPJ11

Answer:

-8<7

Step-by-step explanation:

if you did at the number line you'll see that the -8 is at the left

and as you go the left number decreases

as you go to the right number increases

In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

To know more about hypothesis visit :

https://brainly.com/question/29576929

#SPJ11

According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

According to the statement

We have to find that the value of the combination.

So, For this purpose, we know that the

A combination could be a mathematical technique that determines the quantity of possible arrangements in an exceedingly collection of things where the order of the choice doesn't matter.

From the given information:

A red pebble is capable 3 yellow pebbles. A blue pebble is adequate a red pebble and a couple of yellow pebbles. Therefore, the blue pebbles will be:

= 3 yellow pebble + 2 yellow pebbles

= 5 yellow pebbles or 15 red pebbles

And

Two blue pebbles will be:

= 10 yellow pebbles

= 3 red pebbles and 1 yellow pebbles.

So, According to the combination, The value of the Two blue pebbles is a 3 red pebbles and 1 yellow pebbles.

Learn more about Combination here

https://brainly.com/question/24756209

Disclaimer: This question was incomplete. Please find the content below.

Question:

A red pebble is equal to 3 yellow pebbles A blue pebble is equal to a red pebble and 2 yellow pebbles. A green pebble is equal to 3 red pebbles

Using the smallest number of pebbles possible and without using blue pebbles, what is the value in pebbles of 2 blue pebbles?

#SPJ4

Answer:

Step-by-step explanation:

sin(45) x sin(60) = 1 - \(\frac{\sqrt{3}}{\sqrt{2}}\)

This equation is false...

sin(45) * sin(60) = 0.612372435

1 - \(\frac{\sqrt{3}}{\sqrt{2}}\) = -0.456475315

The probability that the customer will default. is 0.2337.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

P(missing one month payment | not default) = 0.21

P(missing one month payment | default) = 1

P(missing one month payment) = P(missing one month payment | default) * P(default) + P(missing one month payment | not default) * P(not default)

= 1 * 0.03 + 0.21 * 0.97

= 0.2337

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1