given that f'(x) = 6lnx and f(2) = -3.682, find f(3).​

hence x is1

hope it helps you!!!!!!

Answer:

x = 3

Step-by-step explanation:

Combine the 3 fractions on the left side.

[ note x ≠ - 1, 0, + 1 as this would make the fractions undefined ]

Multiply the numerators/ denominators by the lowest common multiple of

x - 1, x + 1, x , that is x(x - 1)(x + 1), that is

[tex]\frac{x(x+1)}{x(x-1)(x+1)}[/tex] + [tex]\frac{2x(x-1)}{x(x-1)(x+1)}[/tex] - [tex]\frac{3(x-1)(x+1)}{x(x-1)(x+1)}[/tex] = 0

distribute and simplify the numerators

[tex]\frac{x^2+x+2x^2-2x-3(x^2-1)}{x(x-1)(x+1)}[/tex] = 0

[tex]\frac{x^2+x+2x^2-2x-3x^2+3}{x(x-1)(x+1)}[/tex] = 0

[tex]\frac{3-x}{x(x-1)(x+1)}[/tex] = 0

The denominator cannot equal zero only the numerator, hence

3 - x = 0 ⇒ x = 3

Answer:

8 times? I'm not sure its actually 8 times with remainder of 4

Step-by-step explanation:

8 x 7 = 56

[tex]60 \div 7 = 8.57[/tex]

Answer: 29%

Step-by-step explanation:

A total of 75 people ordered a hot drink. 22 of them ordered a large.

22/75 = 29 (to the nearest percent)

Answer:   [tex]\bold{c)\quad \dfrac{\pi}{2}}[/tex]

Step-by-step explanation:

sin is an odd function and cos is an even function.

To convert a sin graph to a cos graph, shift the sin graph [tex]\dfrac{\pi}{2}[/tex] units to the right --> C = [tex]\dfrac{\pi}{2}[/tex]

Answer:

Choosing the "best" measure of center. Mean and median both try to measure the "central tendency" in a data set. The goal of each is to get an idea of a "typical" value in the data set. The mean is commonly used, but sometimes the median is preferred.

Step-by-step explanation:

Final answer:

To compare data sets, one must consider whether to use the mean or the median. The mean is suitable for symmetric, outlier-free distributions, while the median is better for skewed data or data with outliers.

Explanation:

Comparing Data Sets Using Measures of Center

When comparing data sets to understand the center, it's crucial to choose the most appropriate measure of center. The mean and the median are the two most common measures. The mean, which is the sum of all values divided by the number of values, is a great indicator of the center for symmetric distributions without outliers. In contrast, the median, which is the middle value in an ordered list, is robust to outliers and is better for skewed distributions.

To determine which measure to use, consider whether the data contain outliers or extreme values that could heavily influence the mean. If so, the median would be a better representation of the center. Moreover, the shape of the data set (symmetrical vs. skewed) and the presence of outliers or extreme values are crucial considerations. The median appears more suitable for skewed data sets, while the mean could be a more accurate measure for symmetric, outlier-free data.

Answer:

Option: C is the correct answer.

        C. 3 units down.

Step-by-step explanation:

We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1

It could be seen from the graph.

But here the minimum value of the upward open curve in the transformed function is: -2

This means that the vertical shift is given by:

-2-1=-3

This means that there is a vertical shift of 3 units down in the parent function.

Answer:

3 units down

Step-by-step explanation:

Answer:

26 of each

Step-by-step explanation:

To solve write this as an equation (35x)+(15x)=1300

For this case we have:

x: Variable representing the types of advance input

y: Variable representing the same-day entry types

We have according to the cost:

[tex]35x + 15y=1300[/tex]

According to the number of tickets:

[tex]x + y = 60[/tex]

We have a system of two equations with two unknowns:

[tex]35x + 15y = 1300\\x + y = 60[/tex]

We multiply the second equation by -35:

[tex]35x + 15y = 1300\\-35x-35y = -2100[/tex]

We add:

[tex]-20y = -800\\y = \frac {800} {20}\\y = 40.[/tex]

Thus, 40 same-day tickets were sold.

[tex]x + 40 = 60\\x = 60-40\\x = 20[/tex]

20 advance tickets were sold

Answer:

20 advance

40 same-day

Answer:

1/2

Step-by-step explanation:

You can add fractions which have the same denominator. 3 and 6 share multiples and so can form a common denominator. 3 can become 6 by multiplying by 2. Multiply both numerator and denominator of 5/3 by 2. It becomes 10/6 +-7/6 =3/6=1/2

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle-degree. Hope this helps <3

Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

Alternate interior angles are formed when a transversal passes through two lines.

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

In the figure,we can see that ∠F and ∠L are alternate interior angles.

So the angles are ∠F=∠L=67.5

Hence Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

To know more about alternate interior angles follow

https://brainly.com/question/24839702

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Answer:

i think A or B but im not sure

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-2 and -3 are connected

While positive 2 and -3 are also connected

So youre looking for which two x's share a y

I think it's 60 I'm NOT sure. I just multiplied those three numbers

Answer:

D.51,00

Step-by-step explanation:

To turn percentages to decimals you divide by 100. 80/100=.8. Now multiply this by how many people attended the game. .8 x 64,000= 51,200

Answer:

[tex]V_{box}=3u^{3}[/tex]

Step-by-step explanation:

The complete question is

If the box holds 24 of these sugar cubes what is the total volume of the box.

The sugar cubes are 1/2 x 1/2 x 1/2

The total volume of the box would be the volume of each sugar cube multiplied by 24, because the box is formed by those 24 sugar cube.

The volume of one sugar cube

[tex]V_{cube}=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}=\frac{1}{8} u^{3}[/tex]

We have 24 of them, so the volume of the whole box is

[tex]V_{box}=24\frac{1}{8}u^{3}\\ V_{box}=3u^{3}[/tex]

Therefore, the volume of the box is

[tex]V_{box}=3u^{3}[/tex]

To find the total volume of the box holding 24 sugar cubes, calculate the volume of a single sugar cube and multiply by 24.

The total volume of the box can be determined by finding the volume of a single sugar cube and multiplying it by the number of cubes in the box. Since the question does not provide specific dimensions of the sugar cube, let's assume the cube has sides of 1 cm. The volume of a cube is found by cubing the length of a side. So, the volume of a single sugar cube is 1 cm x 1 cm x 1 cm = 1 cubic cm. Since the box holds 24 sugar cubes, the total volume of the box is 24 cubic cm.

https://brainly.com/question/28209910

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Andre saves more money than Elena after four weeks and after 6 weeks the savings of Andre and Elena is the same and this can be determined by forming the linear equation.

Given :

Let w represents the total number of weeks. So, the linear equation that represents the situatuion "Andre starts with $100 in his savings account and adds $5 per week" is:

S = 5w + 100

The linear equation that represents the situatuion "Elena starts with $10 in her savings account and adds $20 each week" is:

S' = 20w + 10

a) After four weeks the savings of Andre is given by:

S = 5(4) + 100

S = 20 + 100

S = $120

After four weeks the savings of Elena is given by:

S' = 20(4) + 10

S' = 80 + 10

S' = $90

So, Andre saves more money than Elena after four weeks.

b) Now, the number of weeks after which the savings of Andre and Elena are the same is:

5w + 100 = 20w + 10

Simplify the above equation in order to determine the value of 'w'.

90 = 15w

w = 6

So, after 6 weeks the savings of Andre and Elena is the same.

For more information, refer to the link given below:

https://brainly.com/question/21835898

Answer:

D  None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.

Step-by-step explanation:

I got this of an other page through my searching, and it won the brainliest so it must be correct, there can be considered an answer of no solution region as an answer but this what I think is false so as I said,

None of the solution region is viable because there cannot be a negative number of tomato plants in a row and she can not have a negative number of tomato plants already on hand.

is the answer

Answer:

its the one that says only some are viable because some are negative i took it on PLATO and that was the answer :)) i hope this helps

Step-by-step explanation:

Answer:

$36.75

Step-by-step explanation:

We can determine that 7% is also 0.07 (if we convert a percent to a decimal).

We can find the sales tax for the pool by multiplying the sale price and the sales tax rate.

[tex]525*0.07=36.75[/tex]

So the sales tax is $36.75

The correct answer is D.[tex](5x^4-9x^3+7x-1)[/tex].

To simplify the given polynomial expression, one would typically look for like terms that can be combined. However, in the expression provided, there are no like terms. Each term in the expression [tex](5x^4, -9x^3, 7x, and -1)[/tex]has a different power of x or is a constant with no x term at all.

Since there are no common terms to combine, the expression is already in its simplest form. Therefore, the simplified expression remains as it was originally given:

[tex]\[ 5x^4 - 9x^3 + 7x - 1 \][/tex]

Answer:

20

Step-by-step explanation:

We have, 70% × x = 14

or,  

70 /100  × x = 14

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 14 ×  100 /70

x = 20

If you are using a calculator, simply enter 14×100÷70, which will give you the answer.

Answer:

Step-by-step explanation:

the answer is 20

Answer:

Step-by-step explanation:

I believe it should be 252 total pretzels so since theres nine friends and each one gets 28 so 28 x 9 equals 252. Hope it helps :)

Answer:

The value of x is [tex]4\ cm[/tex]

Step-by-step explanation:

step 1

Find the radius of the sphere

The surface area of the sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

we have

[tex]SA=784\pi\ cm^{2}[/tex]

substitute and solve for r

[tex]784\pi=4\pi r^{2}[/tex]

Simplify

[tex]r^{2}=196[/tex]

square root both sides

[tex]r=14\ cm[/tex]

step 2

Find the diameter

Remember that

The diameter is two times the radius

so

[tex]D=2(14)=28\ cm[/tex]

step 3

Find the value of x

we have

[tex]D=28\ cm[/tex]

[tex]D=4(x+3)\ cm[/tex]

equate the equations

[tex]4(x+3)=28[/tex]

[tex](x+3)=7[/tex]

[tex]x=7-3=4\ cm[/tex]

Answer:

It is 6x9

Step-by-step explanation:

Simple match 9x6 54 and 7x2 14 well I would rather have 54 units of cake that 14 Lol

Answer:

The rectangular cake pan has greater volume compared to the round cake pan.

Explanation:

If baking this cake, I would use a rectangular cake pan because it's volume is a total of 108 square inches. The round cake pan, on the other hand, has the total volume of 76.97 square inches. In conclusion, the rectangular cake pan has greater volume compared to the round cake pan.

Note:

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

Answer:

5

Step-by-step explanation:

Answer:

11.25

Step-by-step explanation:

The slope is [tex]\frac{3}{4}[/tex]

Using this we can find Δx and Δy.

The slope is Δy/Δx

And Δx is 15 since the number of units from 12 to 27 is 15.

So Δy/15 = [tex]\frac{3}{4}[/tex]

Multiply so they have common denominators.

4Δy/60 = [tex]\frac{45}{60}[/tex]

Multiply each side by 60 and solve.

4Δy = 45

Δy = 11.25

So the length of x is 11.25

50% because half of 40 is 20

40-20 = 20. 20 divided by 40 = 0.5. Therefore, it was a 50% decrease

Perimeter = 24m

Cost of half metre(1/2m) = €1.20

Cost of one metre = €2.40

Cost of fencing = 24 × 2.40 = €57.60

HOPE THIS WILL HELP YOU

Answer:

£57.6

Step-by-step explanation:

Given :The pen must have a perimeter of 24 m

Every half meter of fencing costs him £1.20

To Find : Work out the cost of the fence used to make the sheep pen.

Solution :

Cost of fencing 0.5 m = £1.20

Cost of fencing 1 m = [tex]\frac{1.20}{0.5}=2.4[/tex]

The pen must have a perimeter of 24 m

So, cost of fencing 24 m = [tex]2.4 \times 24 = 57.6[/tex]

Hence the cost of the fence used to make the sheep pen is £57.6

Answer:

Expression for Base Area is 16y²  and height of the prism is y² + y + 3.

Step-by-step explanation:

Given: Expression for volume of a prism = [tex]16y^4+16y^3+48y^2\:cubic\:units[/tex]

To find: Expression for the Base area and Height of the Prism.

We know that

Volume of a prism = Base Area × height

So we need to factorize given expression of volume into two factors in which 1st is for Base area and 2nd is for Height of the prism.

[tex]Volume=16y^4+16y^3+48y^2[/tex]

Take 16y² common from each terms, we get

[tex]Volume=16y^2(y^2+y+3)[/tex]

It is factorized in two factors,

So,

Base Area = 16y²

Height = y² + y + 3

Therefore, Expression for Base Area is 16y²  and height of the prism is y² + y + 3.

Answer:

d is the answr

Step-by-step explanation:

Answer:

[tex]\large\boxed{Q1.\ A=\dfrac{5}{6}x^2}\\\boxed{Q2.\ 250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}\\\boxed{Q3.\ \dfrac{81x^{16}y^{36}}{16z^{28}}}\\\boxed{Q5.\ y^\frac{1}{2}=\sqrt{y}}[/tex]

Step-by-step explanation:

[tex]Q1.\\\\\text{The formula of an area of a triangle:}\\\\A_\triangle=\dfrac{bh}{2}\\\\b-\ \text{base}\\h-\text{height}\\\\\text{We have}\ b=\dfrac{5}{3}x,\ h=x.\ \text{Substitute:}\\\\A_\triangle=\dfrac{\left(\frac{5}{3}x\right)(x)}{2}=\dfrac{5x^2}{(3)(2)}=\dfrac{5}{6}x^2[/tex]

[tex]Q2.\\\\2(5m^4n^{-1})^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=2(5^3)(m^4)^3(n^{-1})^3\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=(2)(125)(m^{4\cdot3})(n^{-1\cdot3})\\\\=250m^{12}n^{-3}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{250m^{12}}{n^3}[/tex]

[tex]Q3.\\\\\left(-\dfrac{3x^4y^9}{2z^7}\right)^4\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{3^4(x^4)^4(y^9)^4}{2^4(z^7)^4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{81x^{4\cdot4}y^{9\cdot4}}{16z^{7\cdot4}}=\dfrac{81x^{16}y^{36}}{16z^{28}}[/tex]

[tex]Q4.\\\\\left(x^0y^{\frac{1}{3}\right)^\frac{3}{2}\cdot x^0\qquad\text{use}\ a^0=1\ \text{for any value of}\ a\ \text{except}\ 0\\\\=\left(1\cdot y^\frac{1}{3}\right)^\frac{3}{2}\cdot1\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=y^{\left(\frac{1}{3}\right)\left(\frac{3}{2}\right)}\qquad\text{cancel 3}\\\\=y^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\=\sqrt{y}[/tex]

Answer:

The equation is in standard form. You will have to convert it to slope intercept form, which is -0.125x + 3.75 = y

Step-by-step explanation:

s = x and a = y, therefore 0.5x + 4y = 15

0.5x + 4y = 15

0.5x + 4y = 15  first subtract  0.5x

4y = -0.5x + 15   then divide all by 4

y = -0.125x + 3.75  slope intercept form

Answer:

See below.

Step-by-step explanation:

a. A person with 20-100 vision can see  from a distance of 20 feet what a person with 20-20 vision can see from 100 feet.

b. If you have 20-40 vision you can see from 20 feet what a person with 20-20 vision can see from 40 feet.

Answer:

The explanations are provided below:

Step-by-step explanation:

a.  A person with 20-100 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 100 feet. This simply means that the person can see about 100 feet what a normal sighted person can.

b.  A person with 20-40 vision can see from a distance of 20 feet what a person with 20-20 vision can see from a distance of 40 feet.

This is the same as explanation (a).The person can see from a distance of 40 feet what a normal person can see.

Answer:

The answer is 60.

Step-by-step explanation:

[tex]\frac{48}{1}[/tex]÷[tex]\frac{4}{5}[/tex]

Now, apply the fraction rule(\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}):

[tex]\frac{48}{1}[/tex]×[tex]\frac{5}{4}[/tex]

Cross-cancel(common factor of 4):

[tex]\frac{12}{1}[/tex]×[tex]\frac{5}{1}[/tex]

Multiply:

[tex]\frac{12 x 5}{1 x 1}[/tex]

Simplify:

12 x 5=60

The answer is 60

hope this helps :)