Add. (1+4a)+(5+3x) I need help pls

\(\\ \sf\longmapsto \displaystyle{\lim_{x\to 0}}\dfrac{sinx-sin3x}{sins3x-sinx}\)

\(\boxed{\sf \displaystyle\lim_{x\to 0}\dfrac{f(x)}{g(x)}=\dfrac{\lim_{x\to 0}f(x)}{\lim_{x\to 0}g(x)}}\)

Now

\(\\ \sf\longmapsto \displaystyle{\dfrac{\lim_{x\to 0}sinx-\lim_{x\to 0}sin3x}{\lim_{x\to 0}sin3x-\lim_{x\to 0}sinx}}\)

\(\boxed{\sf \displaystyle{\lim_{x\to 0}}f(x)=f(a)}\)

\(\\ \sf\longmapsto \dfrac{sin0-sin3(0)}{sin3(0)-sin0}\)

\(\\ \sf\longmapsto \dfrac{0-0}{0-0}\)

\(\\ \sf\longmapsto \dfrac{0}{0}\)

\(\\ \sf\longmapsto 0\)

Answer: G

Step-by-step explanation:

when professional service worker, farmer and government worker are added up the percentage is equal to 50% which is half of the chart.

Step-by-step explanation:

x + 48° = 180° ( being straight angle )

x = 180° - 48°

x = 132°

☘☘☘...

The angle of rotation for the described transformation is

The movement or transformation described is form quadrant 4 to quadrant  2.

The transformation will require 180 degrees transformation.

In this type of transformation, both clockwise and the counter clockwise have similar effects

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Answer:

c 3

Step-by-step explanation:

put the rise (change in y) over run (change in x)

find the difference between the y points: 2 and 8

8 minus 2 is 6, so that's your rise

then find the difference between your x points: 2 and 4

4 minus 2 is 2, so that's your run

rise / run = 6/2, which simplified is just 3

Answer:9

Step-by-step explanation:

If X is 2, then plug it in to get 2x7-5= 9

Y is 9

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

60 adults

Step-by-step explanation:

There are 60 adults in the dance because as we have 150 people and the ratio of adults to students is 2:3, we need to add 2+3=5. Now we have 5 parts, so 150÷5=30. This means that there are 30 people per part, and as adults hold 2 parts of it, 30 x 2=60. So, there are 60 adults in the dance. Hope it helps!

Answer:

Step-by-step explanation:

Well uh.....

f(2)=5(2)-3

f(2)=7

Lol

Answer:

7

Step-by-step explanation:

f(2)=5(2)-3

f(2)=10-3

f(2)=7

The perimeter of the rectangle is 4h + 6

An algebraic expression can be defined as an expression that is composed of terms, variables, coefficients, constants and factors.

These expressions are also made up of arithmetic operations, such as;

The formula for calculating the perimeter of a rectangle is expressed as;

Perimeter = 2( l + h)

Where;

l = 3 + h

Substitute the values

Perimeter = 2( 3 + h+ h)

expand the bracket

Perimeter = 2(3 + 2h)

Perimeter = 4h + 6

Hence, the expression is 4h + 6

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The expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

The equation of the function is given as:

f(x) = (x - 3)(x + 1)

When the value of the graph is positive, we have:

f(x) > 0

So, the function becomes

(x - 3)(x + 1) > 0

Split the above inequality

x - 3 > 0 and x + 1 > 0

Solve for x in the inequalities

x > 3 and x > -1

Hence, the expression that describes all of the values for which the graph is positive and decreasing is all real values of x where x < -1

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Answer:

First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation

Step-by-step explanation:

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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The y-intercept is the point where the graph crosses the y-axis.

According to the graph the graph crosses the y-axis at the point: (0, -4)

Answer: (0, -4)

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

84 students go online several times a day

Step-by-step explanation:

Answer:

(1,5)

Step-by-step explanation:

Hope this is right.

Answer:

It's (1,0)

Step-by-step explanation:

I got it right on the quiz

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

The coefficient of \(x^{7}\) is 16796160.

For this, we have to find the coefficient of \(x^{7}\) in \((3x+4)^{10}\)

General Term: This term symbolizes all of the terms in the binomial expansion of (x + y)^n.

The general term in the binomial expansion of (x + y)^n is

T(r+1) = nCr x^(n-r)y^r.

Here the r-value is one less than the number of the term of the binomial expansion. Also, nCr is the coefficient, and the sum of the exponents of the variables x and y is equal to n.

We can use the general term for this.

\(T_{r+1} = (nCr) a^{n-r} x^{r}\)

Since we have to find  \(x^{7}\),

\(T_{3+1} = (10C3)(3x)^{7} 4^{3} \\T_{3+1} = [(10C3)3^{7} 4^{3} ]x^{7}\)

This is the coefficients of \(x^{7}\)

Calculating,

10C3 = 120 (using combinations)

\(3^{7} = 2187\\4^{3} = 64\)

Therefore, multiplying the 3,

Coefficients of \(x^{7}\) = 120 * 2187 *64

= 16796160

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Answer:

2 points

Step-by-step explanation:

0+3-4-2+5=2 points

Answer:

500 and 4.3

Step-by-step explanation:

A decigram is one-tenth of a gram and a kilometer is one-thousandth of a meter. Using this information, we must multiply the given amounts by the values.

5000 × 0.1 = 500

4300 × 0.001 = 4.3

Thus, the answers [in order] are 500 and 4.3

Hope this helps and feel free to ask any questions.

The measure of angle D of the given Kite is: 127°

From the diagram, the figure represents a kite.

Properties of a kite are:

- Two pairs of adjacent sides are equal.

- Two diagonals intersect each other at right angles.

- The longer diagonal bisects the shorter diagonal.

- The angles opposite to the main diagonal are equal.

Thus:

The angle B = the angle D

The sum of all angles of a quadrilateral = 360

Given: ∠A = 36 and ∠C = 70

Thus:

2∠D = 360 - (36 + 70)

2∠D = 254

∠D = 127°

So, the measure of angle D = 127°

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Answer:

I think A 1/10

Step-by-step explanation:

Answer:

The anser is letter C)

Step-by-step explanation:

because it multiplies x3

0,5×3=1,5

1,5×10=15

10×3=30

Answer:

1cm=30m

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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the conjugate it's the same numbers, but the imaginary one, with the opposite sign, so will be:

(7-11i)*(7+11i)

you distribute the numbers

7*7+7*(11i)-7*(11i)-(11i)*(11i) (the bold ones, annulate each other)

and i2 = -1

so 49 -121* (-1)

49+121= 170

So the answer is: 170

Answer:

Joe Biden .....................................

Answer:

Joe Biden…he’s the President of the US but…he’s certainly not my President…

Based on the results, the below  list shows a comparison of the overall performance of the portfolios, from best to worst:

Portfolio 2, Portfolio 1, Portfolio 3

Portfolio 1:

total investment=$1250+$575+$895+$800+$1775

total investment = $5295

weighted average ROR= (12.6%*$1250/$5295 + 2.8%*$575/$5295 + 10.4%*$895/$5295 +1.8%*$800/$5295 - 5.6%*$1775/$5295)

weighted average ROR = 3.23%

Portfolio 2:

total investment = $950 + $2025 + $1185 + $445 + $625

total investment = $5230

weighted average ROR= ( 12.6%*$950/ $5230 + 2.8% *$2025/ $5230 + 10.4%*$1185/ $5230 + 1.8%* $445/ $5230 - 5.6%*$625/ $5230)

weighted average ROR = 5%

Portfolio 3:

total investment = $900 + $2350 + $310 + $1600 + $2780

total investment = $7940

weighted average ROR = (  12.6%*$900/$7940 + 2.8% *$2,350/$7940 + 10.4%*$310/ $7940 + 1.8%* $1600 / $7940 −5.6% *$2780/$7940)

weighted average ROR = 1%

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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16-10

i hope this helps.