I would appreciate it if you can help me with this.

Answer:

C

Step-by-step explanation:

Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]

The equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

In which:

In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]

To find the value of [tex]\theta[/tex], we have that:

[tex]3\tan{\theta} = \sqrt{3}[/tex]

[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]

[tex]\theta = \frac{\pi}{6}[/tex]

Then, for the slope:

[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]

[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]

Considering [tex]\theta = \frac{\pi}{6}[/tex]:

[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]

[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]

[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]

Then, the equation of the line is:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]

[tex]y = x - \sqrt{3}[/tex]

The y-intercept is the value of y when x = 0, hence:

[tex]y = \sqrt{3}[/tex]

A similar problem is given at https://brainly.com/question/22426360

Answer:

50 dollars.

Step-by-step explanation:

19 x 25= 475

1,425 - 475= 950

950 divided by 19 is 50.

Answer:

4 because I had this quiz and I got 80

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

The values for [tex]x[/tex] are -5 and 20

Given to us:

[tex]x^2-15x-100=0[/tex]

In order to use the zero product property, we need to find out a 2 numbers whose product is -100 and sum is -15.

for that you can take the LCM of 100 and check all factors of 100.

for example,

factors of 100 are 100, 50, 25, 20, 10, 5, 4, 2, 1.

from this -20 and +5 are the numbers whose sum will give -15 and product will be -100. therefore,

[tex]x^2-15x-100=0\\x^2-20x+5x-100=0[/tex]

taking out common terms, we get

[tex](x^2-20x)+(5x-100)=0\\x(x-20)+5(x-20)=0\\(x+5)(x-20)=0\\[/tex]

to find out the value of [tex]x[/tex] equating both the factors with 0, we get

[tex](x+5)=0\\x=-5\\(x-20)=0\\x=20[/tex]

Hence, the values for [tex]x[/tex] are -5 and 20

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Answer:

C or x=-5 or x=20

Step-by-step explanation:

Answer:

$140

Step-by-step explanation:

100/116×$162.40=$140

Answer:

Before the increase it was $136.416.

Step-by-step explanation:

16% of $162.40 is 25.984.

We need to do $162.40 - 25.984 which equals to $136.416.

Hope that helps. x

Answer:

Use the slope formula (y2-y1 over x2-x1) also attached as an image file to my answer for each question. After you solve each number for their slope, input the problem number into the table that corresponds with the slope.

For your information, in the attached image file with the formula, "m" represents the slope in the formula.

Answer:

min{5 x^2 - 20 x + 3} = -17 at x = 2

Step-by-step explanation: here's the graph

Answer:

none. they have already sold exactly $400,000 worth of computers and accessories

Your Question is incomplete..

Diana is baking bread, and the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will Diana use?

Answer:

3 3/4

Step-by-step explanation:

To figure out how many cups of flour Diana will use, you can set up a proportion.

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Floor required for 3/2 teaspoons of yeast = 5/2

Floor required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer:

(The question is not complete so I will complete it)

Diana is baking bread, the original recipe calls for 1 1/2 teaspoons of yeast and 2 1/2 cups of flour. Diana will use the entire contents of a packet that contains 2 1/4 teaspoons of yeast and will use the same ratio of ingredients called for in the original recipe. How many cups of flour will diana use ?

A) 1 7/8

B) 3 1/2

C) 3 1/2

D) 3 3/4

E) 4

Step-by-step explanation:

The correct answer is D

To figure out how many cups of pour diana will use, you can set up a proportion

1 1/2 = 3/2

2 1/2 = 5/2

2 1/4 = 9/4

Flour required for 9/4 teaspoons of yeast = (5/2 / 3/2) * 9/4

= 5/2 * 2/3 * 9/4

= 15/4 = 3 3/4

Answer: D) 3 3/4

Candi would be taken medicine A for 11 days for her to complete the medication.

1 L = 1000 ml

Candi needs to take 15 ml of Medicine A three times daily. Therefore:

Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L

Since the bottle contains 5 L, The number of days she needs to take the madication is:

Number of days = 5 L / 0.045 L = 11 days

Candi would be taken medicine A for 11 days for her to complete the medication.

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Answer:

if you mean [tex]\frac{\sqrt{-1} }{8}[/tex] then the answer[tex](1/8)i[/tex]

and if you mean:[tex]\sqrt{\frac{-1}{8}}[/tex] then the answer is[tex]\frac{i\sqrt{2} }{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts

As per the given information

i.e.,

[tex]\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}[/tex]

Hence, the answer value of [tex]\sqrt\frac{-1}{8}[/tex] is [tex]i\frac{\sqrt2}{4}[/tex].

To know more about the fraction

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Answer:

14x^4sqrt10

Step-by-step explanation:

Out of the two possible answers showing in the picture it seemed as is it was the only valid answer

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

Answer:

this has to do with trial and error

since N=21÷3-3

so 21÷3-3=4

therefore N=4

substitute for N

2×4=8

8×3=24

therefore 24÷3=2×4

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Answer: Third multiple choice

Step-by-step explanation:

First answer:

Since the fraction is increased by 7, we need to check if the increasing factor is the same for the bottom part of the fraction:

[tex]2.54*7=17.78\neq 17.68[/tex]

The first answer doesn't match, we do the same for all three remaining answer.

2)[tex]12*7=84\neq 74[/tex]

3)[tex]36*7=252[/tex]

4)[tex]3.28*7=22.96\neq22.86[/tex]

In this case, the answer is the third multiple choice.

Answer:

E ( 1 , -1 ) is in quadrant IV

Answer: the answer is 12

Step-by-step explanation: trust me

The LCM of 2,3, and 4 is 12.

The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.

The given numbers are 2,3 and 4.

The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.

The lowest number that can be divisible by 2,3 and 4 is 12.

Therefore, the LCM of 2,3, and 4 is 12.

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Answer:

1x14 1x30 1x40

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

Let x = unknown number

The dot is at 2.

The dot is also an open circle meaning that 2 is not included. When the dot is an open circle we use < or > rather than ≤ and ≥

The line is going to the right towards the larger numbers.

This means that the solution to the inequality is greater than 2.

This can be represented as x > 2

Answer: x >2

Step-by-step explanation: It has an open circle and is pointing in the greater than direction. Therefore, it is written as x >2 which reads x is greater than 2. Of course, you could use any variable (letter) that you wish to choose.

Hope this helps.

Best to you!

Answer: 35 dots

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6