Evaluate the following expression. 1 + tan^2(pi/6)
A. 2
B. 4
C. 11/3
An explanation of the answer will be awarded extra points

Answers

Answer 1

Answer:

B

Step-by-step explanation:

I Can't explain it,I'm sorry


Related Questions

Chin bought 12 pounds of apples for $6. Use the ratio table to find the cost of buying 3 pounds of apples. *

Answers

Answer: The answer should be 1.5.

Step-by-step explanation:

$6 divided by 12 is .5... Multiply .5 by 3, seeing as 1 pound = $.5

Answer:

$.5

Step-by-step explanation:

hope this helps y'all

A curve is such that (dy)/(dx) = 12/(2x + 1) ^ 2 and P(1, 5) is a point on the curve . (i) The normal to the curve at P crosses the x-axis at Q. Find the coordinates of Q (ii) Find the equation of the curve. (iii) A point is moving along the curve in such a way that the x-coordinate is increasing at a constant rate of 0.3 units per second. Find the rate of increase of the y-coordinate when x=1

Answers

(i) The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate is 1.2 units per second.

(i) By analytical geometry, we know that the slope of a line normal of a curve ([tex]m_{\perp}[/tex]) by the following expression:

[tex]m_{\perp} = - \frac{1}{\frac{dy}{dx} }[/tex] (1)

Where [tex]\frac{dy}{dx}[/tex] is the slope of the line tangent to the curve.

If we know that [tex]x = 1[/tex], then the slope of the normal to the curve is:

[tex]\frac{dy}{dx} = \frac{12}{2\cdot (1)+1}[/tex]

[tex]\frac{dy}{dx} = 4[/tex]

And the slope of a line normal of a curve is:

[tex]m_{\perp} = -\frac{1}{4}[/tex]

By definition of secant curve we calculate the remaining coordinate of the point Q:

[tex]m_{\perp} = \frac{y_{Q}-y_{P}}{x_{Q}-x_{P}}[/tex] (2)

Where:

[tex]x_{P}[/tex], [tex]x_{Q}[/tex] - x-coordinates of points P and Q. [tex]y_{P}, y_{Q}[/tex] - y-coordinates of points P and Q.

If we know that [tex](x_{P}, y_{P}) = (1, 5)[/tex], [tex](x_{Q}, y_{Q}) = (x, 0)[/tex] and [tex]m_{\perp} = -\frac{1}{4}[/tex], then the remaining coordinate of point Q is:

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

[tex]-\frac{1}{4}\cdot (x-1) = -5[/tex]

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

[tex]\frac{1}{4}\cdot x = \frac{21}{4}[/tex]

[tex]x = 21[/tex]

The coordinates of the point Q is [tex](x, y) = (21, 0)[/tex].

(ii) The equation of the curve is derived by separating the variables and integrating the resulting expression:

[tex]dy = \frac{12}{2\cdot x + 1}\,dx[/tex]

[tex]\int\, dy = 6\int {\frac{2\,dx}{2\cdot x + 1} }[/tex]

[tex]\int \, dy = 6\int {\frac{du}{u} }[/tex]

[tex]y = 6\cdot \ln u[/tex]

[tex]y = 6\cdot \ln (2\cdot x + 1)+C[/tex]

And the integration constant is found for [tex](x,y) = (1, 5)[/tex]:

[tex]5 = 6\cdot \ln(2\cdot 1 + 1) + C[/tex]

[tex]C = -1.592[/tex]

The equation of the curve is [tex]y = 6\cdot \ln (2\cdot x + 1)-1.592[/tex].

(iii) The rate of increase of the y-coordinate by using the differential equation presented in statement and the definition of rate of change:

[tex]\frac{dy}{dt} = \left(\frac{12}{2\cdot x +1}\right)\cdot \frac{dx}{dt}[/tex] (3)

If we know that [tex]\frac{dx}{dt} = 0.3[/tex] and [tex]x = 1[/tex], then the rate of increase of the y-coordinate is:

[tex]\frac{dy}{dt} = \left[\frac{12}{2\cdot (1)+1} \right]\cdot (0.3)[/tex]

[tex]\frac{dy}{dt} = 1.2[/tex]

The rate of increase of the y-coordinate is 1.2 units per second.

To learn more on differential equations, we kindly invite to check this verified question: https://brainly.com/question/25731911

i). The coordinates of Q is equal to:

[tex](x,y) = (21, 0)[/tex]

ii). The equation of the curve is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate when x = 1:

[tex]1.2 units[/tex] per second

i). Using analytical geometry,

[tex]xp[/tex] and [tex]xq[/tex] are the P and Q's x-coordinates.

[tex]yp[/tex] and [tex]yq[/tex] are the P and Q's y-coordinates.

Since ([tex]xp[/tex], [tex]yp[/tex]) = (1,5) and ( [tex]xq[/tex], [tex]yq[/tex]) = [tex](x, 0)[/tex] and m⊥ = - 1/4, the left coordinate of Q's point:-

-1/4 = (0-5)/(x - 1)

∵[tex]x = 21[/tex]

Thus, the coordinates of y = (21, 0)

ii). Through isolating the variables and employing integration:-

[tex]dy = \frac{12}{(2.x + 1)} dx[/tex]

by integration and integration constant (1,5), the equation is:

[tex]y = 6. In(2.x + 1) - 1.592[/tex]

iii). The rate of increase for y-coordinate:

[tex]dy/dt[/tex] = [tex]\frac{(12)}{(2.1 + 1)} .0.3[/tex]

∵ [tex]dy/dt[/tex] [tex]= 1.2[/tex]

Thus, the rate of increase for y-coordinate when x = 1 is 1.2 units per second.

Learn more about "Co-ordinates" here:

brainly.com/question/21902081

What two integers does Square root of 50 fall between?

Answers

It falls between 6 and 8

Please help me and make sure to round the answers to the nearest hundred. I’ll give you brainiest!

Answers

Answer:

add 2 zeros at the end of all of them

Step-by-step explanation:

can someone help me?

Answers

Answer:

I hope this helps!

Step-by-step explanation:

1. M is .25

b is 20

so

y= .25x+20

2. y= 3x+2

She getting up there

Answers

Answer:

that's a lot of clients

Marsha is driving 600 total miles on a trip. She has already driven 2/5 of the distance. How far has Marsha driven?
A. 120 miles


B. 240 miles


C. 300 miles


D. 360 miles

Answers

Marsha had driven 240 miles

how do you do this? plz help me with math!

Answers

Answer:

it's x=50 hope this helps

Answer:

[tex]\frac{50}{5}[/tex] is the answer

Step-by-step explanation:

you would times 10 by 5 and you have your answer

Solve the problem. Show your work

Answers

Answer:

D correct

Step-by-step explanation:

Can someone please help me with this proof?!

Given: AC and BD bis, each other.

Prove: ABCD is a parallelogram

Answers

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

. A person weighing 120 pounds has about 20 pints of blood in their body. Which equation below represents the relationship between pints of blood, b, to a person's weight, w?

Answers

Answer:

[tex]w = 6b[/tex]

Step-by-step explanation:

Given

[tex]b = blood[/tex]

[tex]w = weight[/tex]

[tex]b = 20; when\ w = 120[/tex]

Required

Determine the equation that binds both parameters

First, we need to determine the constant of proportionality using:

[tex]w = k * b[/tex]

Where k represents the constant.

Substitute 120 for w and 20 for b

[tex]120 = k * 20[/tex]

Divide both sides by 20

[tex]6 = k[/tex]

[tex]k = 6[/tex]

Using the same formula, substitute 6 for k

[tex]w = 6 * b[/tex]

[tex]w = 6b[/tex]

Hence:

The equation is represented as [tex]w = 6b[/tex]

WILL MARKDOWN BRAINLIEST

Answers

Answer:

1. $539

2. $300

3. C

Step-by-step explanation:

May I have brainliest?

3 + 2p - 4 = 11

algebra 1 solving equations

Answers

Answer: the variable is p=6 .

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Answer:

p = 6

Step-by-step explanation:

Step 1: Simplify both sides.

3 + 2p − 4 = 11

3 + 2p + −4 = 11

(2p) + (3+−4) = 11 (Combine Like Terms)

2p + −1 = 11

2p − 1 = 11

Step 2: Add 1 to both sides.

2p − 1 + 1 = 11 + 1

2p = 12

Step 3: Divide both sides by 2.

2p/2 = 12/2

p=6

Many counties in Texas missed many school days in the fall of 2017 due to hurricanes
that year. A solution for how to make up those
days was to add time to each school day
for a portion of the year. It was decided that in order to make up a 6 hour school day, 10
minutes would be added to each day. How many extended days would be needed to
make up 3 school days?

Answers

Apá me voy bye a mi baby you and you mom me he levantado de mi cama a la

I don’t understand help me plz hard

Answers

Answer:

-2 1/2 is the correct answer

I hope this helps! If it is correct please mark brainliest answer, thank you!

Stay safe, God bless and happy studying!

9. If f(x) = 5x-4 and f(2a) =156 , then what is the value of a?

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 5x - 4[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(2a) = 5(2a) - 4[/tex]

[tex]f(2a) = 10a - 4[/tex]

[tex]156 = 10a - 4[/tex]

[tex]10a - 4 = 156[/tex]

Add sides 4

[tex]10a - 4 + 4 = 156 + 4[/tex]

[tex]10a = 160[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{160}{10} \\ [/tex]

[tex]a = 16[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Evaluate the function f(x) = -2x + 9 when x = 2​

Answers

Answer:

I think x= 5

Step-by-step explanation:

because u put 2 where x is supposed to go so it would be -2(2)+9 and -2(2)=-4 and then add 9 and that =5

What is 708 divided by 67 with a remainder?

Answers

Answer:

its 10 with the remainder of 38

Step-by-step explanation:

The result of the division is remainder = 38 and quotient = 10

What is division?

Division is the opposite of multiplying. When we know a multiplication fact, we can find a division fact: Example: 3 × 5 = 15, so 15 / 5 = 3. Also, 15 / 3 = 5.

Given that, 708 divided by 67

When dividing 708 by 67 will get 10 as quotient and 38 remainder

Hence, the result of the division is remainder = 38 and quotient = 10

Learn more about division, click;

https://brainly.com/question/21416852

#SPJ2

5 (2k - 8 ) - 15 = -25
how do I solve this?

Answers

Answer:

3=k

5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=k

Given h(x) = 4(x + 5) - 7
Find h(7)

Answers

That is the correct answer

Help me please!! I can’t figure this out...

Answers

Answer:

-2

Step-by-step explanation:

-2-4/3-0=-2

you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values

Answer:

-2

Step-by-step explanation:

You can use the equation rise over run, which is basically y2-y1 over x2-x1

Y2 is -2 and y4 is 4, x2 is 3  x1 is 0

-2-4 over 3-0=-6/3=-2

Parallel or perpendicular 3x+5y=10 and 5x-3y=-6

Answers

3x+5y=10 and 5x-3y=-6 is perpendicular.

Help pleasseeeeeeeeeeeeeeeeeeer

Answers

Answer:

4

Step-by-step explanation:

8/12 simplifies to 4/6. so x needs to be 4 for it to work

pleaseeee hurryyy i needd helppp
How many solutions are there for this equation? Why?
2(m+2)=12−6m
Select the option that correctly answers both questions.
a. There is one solution, because the coefficients of the variables on both sides of the equation are the same.
b. There are no solutions, because the coefficients of the variables on both sides of the equation are different.
c .There is one solution, because the coefficients of the variables on both sides of the equation are different.
d. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

Answers

Answer:

C. There is one solution, because the coefficients of the variables on both sides of the equation are different.

Step-by-step explanation:

The solution is m = 1

~theLocoCoco

What is the transformation!
reflection, rotation, translation, none of them !

Answers

Answer:

translation

Step-by-step explanation:

Sliding: moving a shape without rotating or flipping it.

5.
As shown in the diagram below, lines m and n are
cut by transversal p.
р
m
n
7
2
If mZ1 = 4x + 14 and mZ2 = 8x + 10, lines m
and n are parallel when x equals
A. 1
B. 6
C. 13
D. 17

Answers

The value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

As we can see in the figure, the lines m and n are cut by transversal p.

Then the sum of angles mZ1 and mZ2 is equal to 180 degree.

4x + 14 +8x + 10 = 180

12x + 24 = 180

12x = 156

x = 13

Thus, the value of x is 13 if lines m and n are parallel and lines m and n are cut by transversal p.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

For shipping packages, UPS charges $7.00 for the first pound, and $0.20 for each additional pound. FedEx charges $5.00 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same? Using p for the number of pounds, write and solve and equation to represent this situation.

Answers

Answer:

x=20

Step-by-step explanation:

7+0.20x=5+0.30x              

then take the 7 and subtracet the 2 from it, then take the 0.30 and subtract the 0.20 from it then you should get 2=0.10x      

then to get rid of the 0.10 you take it and divide it from the 2 which gives you 20 then you have 20=x and thats your answer

Determine the slope of the line that passes through the points M(-3,5) and N(1,8). Represent the slope in decimal form.

Answers

Answer:

0.75

Step-by-step explanation:

y²-y¹/x²-x¹

8-5/1-(-3)

3/4

=0.75

please help me thanks

Answers

Answer: I think its Consine

Step-by-step explanation:

Lexi jarred 2.3 liters of jam after 2 days. How many days does Lexi need to spend making jam if she wants to jar 4.6 liters of jam in all?

Answers

Answer:

bruh 4 days duh

Step-by-step explanation:

Other Questions
Which angles are adjacent angles to 3? Select all that apply what article created an ineffective government system in the United States.A.The PreambleB.The ConstitutionC.The Articles of ConfederationD.Shays Rebellion In 1435, the Ming emperor changed the policy of Chinese overseas exploration byO A. Sending Zheng He to explore and trade in Southeast Asia.B. ending the building of seagoing ships and halting expeditions.c. ordering Zheng He to concentrate on trading within China.D. inviting Europeans to meet and trade with Chinese merchants. The image shows pollution on a beach. Garbage strewn about an ocean beach. Aanya is working on a presentation for her health class about how pollution can affect the environment. She likes this image and decides to make it the cover of the presentation. The image enhances Aanyas presentation because it shows how the pollution got there. illustrates what her words are describing in her presentation. illustrates solutions to the problem of pollution. How can trade define a civilization?I need this for a mastery grade paragraph assignment :,)I'm just a little confused, please help A block of lead displaces 50.5ml of water. The block weighs 698 g. From thisinformation, calculate the density of lead. The price for gasoline is represented by the equation y = 3.69x, where 'y' represents the total price for 'x' gallons of gasoline. On a graph, the number of gallons is represented by the horizontal axis, and the total price is represented on the vertical axis. Determine whether each statement describes the graph of the equation. Select True or False for the following statement. The graph of the lines goes through the points (7.38, 2) and (11.07, 3). Who functions as a mentor to Telemachus in books 1&2? aZeus bAthena cPoseidon dOdysseus 9x+6+4x-2x+1-15What is the answer? work out the equation of a line which has a gradient of -2 and passes through the point (1 ,7) Find the slope using the formula.(-2,-9) and (-6,-6) what labor systems did the Mughals have help me please i have 2 more after this You move right seven units. You end at 2,2. Where did you start? Please help me.What is the biggest misconception about filling out a college application according to the speaker with regards to how he claims he believed he was so unique based on his kindergarten project? What do colleges REALLY want to see from individuals as opposed to what we think they want to see? A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make Select the correct answer. How did the Battle of Saratoga affect the American Revolution? What are the characteristics of this layer that make it the ideal layer for the Concorde to travel? Why do artists choose to create art that represents the causes, goals, and achievements of revolutions after the revolutions are over? 5. Cherries are on sale for $16 for 4 pounds. Jordyn pays $28.00 forcherries to make a cobbler. How many pounds of cherries does she buy? *