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Which of the following is an equation of the tangent line to y=sin x +cos x at x=3.14/2

Answers

Answer 1

Answer:

y o = 2 sin ( π/6 ) = 2 * 1/2 = 1

x o = π / 6

y ` = 2 cos x = 2 cos (π/6) = 2 * √3 / 2 = √ 3;

m = √3

An equation of the tangent line is:

y - y o = m ( x - x o )

Answer:

y - 1 = √3 ( x - π/6 )

Step-by-step explanation

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Related Questions

Expressions equivalent to (7^3 x^4)^0

Answers

Answer:

Step-by-step explanation:

Any number or variable to the power of 0 is 1

(7^3 x^4)^0 = 1

(a) On the grid above, draw the line x = 3

Answers

The Graph will look like this:

The graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

The equation x = 3 represents a vertical line that passes through the point (3, 0) on the Cartesian coordinate system. This means that for every value of y, the corresponding x-coordinate is always 3. Since the line is vertical, it extends infinitely in both the positive and negative y-directions.

To visualize the line x = 3 on a graph:

1. Draw two perpendicular axes, the horizontal x-axis, and the vertical y-axis.

2. Since x = 3, draw a vertical line passing through the point where x = 3 on the x-axis (at x = 3) and extending through the entire y-axis.

The resulting graph will show a vertical line crossing the x-axis at x = 3 and extending infinitely in both the positive and negative y-directions.

Learn more about graph here

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As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.

Answers

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

Write an equation in slope-intercept form of the line that passes through (-2,5) and (-4,-5)

Answers

Answer:

so the slope-intercept form is y=mx+b

so your's is....

y= 5x +15

Step-by-step explanation:

Hope this helps!!

The equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

What is a 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.

It is given that:

The line that passes through (-2,5) and (-4,-5)

The equation of the line can be calculated as follows:

y + 5 = (-5 - 5)/(-4+2)[x + 4]

y + 5 = 10/2[ x + 4]

y = 5x + 20 - 5

y = 5x + 15

Thus, the equation of the line that passes through (-2,5) and (-4,-5) is y = 5x + 15 in the slope-intercept form of the line.

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At a concert stadium tickets purchasers have a choice between sitting in the floor seats or in the bleachers seats. In the floor section, there are 16 rows of 48 seats. The bleachers section has 86 rows with 72 seats in each. How many seats are there in all stadium?​

Answers

Answer:6960

Step-by-step explanation:

(16•48)+(86•72)=6960

completely factor: 4t + 2rt + 8st

Answers

2t(2+r+4s)

I hope this helps

Answer:

2t(2 + r + 4s)

write the expression to (5x-3x^2)-(5x-2)*(10x+7x^2) in standard form

Answers

this is the answer that i got

m= -(4+ m) + 2
m=
what’s m?

Answers

Answer:

m = -1

Step-by-step explanation:

m= -(4+ m) + 2

Distribute

m = -4-m+2

m = -2-m

Add m to each side

m+m = -2-m+m

2m = -2

2m/2 = -2/2

m = -1

The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answers

Answer:

The body is falling at 98 m/s after 4 seconds later.

Step-by-step explanation:

The magnitude of the speed of a body dropped from rest is:

[tex] v = gt [/tex]

So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:

[tex] v = gt = 9.81 m/s^{2}*(4s + 6s) = 98.1 m/s = 98 m/s [/tex]

Hence, the body is falling at 98 m/s after 4 seconds later.

I hope it helps you!

can someone help me with this

Answers

Answer:x+90+20=180,70*

Step-by-step explanation

i hope this helped :D

1. Juliet O'Hara works for a weekly paycheck. Last week she worked 5 days for a total of 39 hours. Her regular rate of pay is $10.95 an hour. In addition to federal income tax, state income tax, Medicare, and social security, Juliet also has insurance of $20 a week withheld and puts 4% of her gross pay into a retirement account. Compute her gross pay, deductions, and net pay. SHOW YOUR WORK!

Answers

Step-by-step explanation:

given data:

hours worked weekly = 39

pay/her = $10.95

insurance withheld weekly = $20

percentage put into Retirement = 4%

Solution:

Gross pay

= hrs worked weekly x pay/hr

= 39 x $10.95

= $427.05.

Deductions

insurance deduction

= $427.05 – $20

= $407.05

Amount put into retirement account

= 4% of $427.05

= 4/100 x $427.05

= $17.082

NET PAY

= $427.05 – $20 –$17.082

= $389.97

can u guys help me pls

Answers

Answer: The answer to number 1 is 91 adults

Step-by-step explanation: Since 1 on the ratio is 13 people, 13 x 7 is 91.

The answer is number 1 91 adults

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

___ km/hr is the average speed and ___ km/hr is the average velocity for the whole journey that Eric takes.

Answers

Answer:

Average speed = 3.17 km/h and Average velocity = 1.5 km/h

Step-by-step explanation:

It is given that,

Eric walks 7 km East in 2 hours and then 2.5 km West in 1 hour.

Average speed = distance/time

Distance = 7km + 2.5 km = 9.5 km

Time = 2 h + 1 h = 3 h

Average speed,

[tex]s=\dfrac{9.5\ km}{3\ h}\\\\s=3.17\ km/h[/tex]

Average velocity = displacement/time

Displacement = 7 km +(-2.5 km) = 4.5 km

Average velocity,

[tex]v=\dfrac{4.5\ km}{3\ h}\\\\v=1.5\ km/h[/tex]

So, 3.17 km/h is the average speed and 1.5 km/h is the average velocity for the whole journey that Eric takes.

Is y=3x^2+1 a linear or nonlinear equation?

Answers

Answer:

nonlinear

Step-by-step explanation:

because the axis is located below so its all gucci

Answer:

Nonlinear

Step-by-step explanation:

It's actually a parabola because it has a squared value.

Hope that helps and have a great day!

please please help me!!

Answers

Answer:

f(x)= - l x - (-4) l + 0

Step-by-step explanation:

The weight W of an aluminum flatboat varies directly with the length L of the boat. If a 6​-foot boat weighs 102 ​pounds, then what is the weight of a 11​-foot ​boat? The weight of a 11​-foot boat is nothing pounds

Answers

Answer:

The 11 foot boat ways 187 pounds

Step-by-step explanation:

102 / 6 = 17

17 * 11 = 187

how do i graph 2x+4y=12

Answers

Answer:

(0,3) (6,0)

Step-by-step explanation:

subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)

Answers

Answer:

-3+8i

Step-by-step explanation:

Hello, I need an answer for this.

Answers

Answer:

3.19 x 10^6 kilometers

Step-by-step explanation:

help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain​

Answers

Answer:

0.08

Step-by-step explanation:

Because one cm to meters is 0.01 and times it by 8

=0.08

The price of Stock A at 9 A.M. Was ​$14.67. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon the price of Stock B was ​$15.17. It begins to decrease at the rate of ​$0.15 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Price of Stock A at 12 : 00 A.M. is :

A = 14.67 + 0.08×3

A =  $14.91

Price of Stock B at 12 : 00 A.M. is :

B = $15.17

Let, after x hours price are same :

[tex]14.91 + 0.08x = 15.17 -0.15x\\\\0.23x = 15.17-14.91\\\\0.23x =0.26\\\\x = 1.13\ hours[/tex]

At, 1 : 13 P.M both stocks have same prices.

Hence, this is the required solution.

1f f(x) = ***, g(x) = x+4, and h(x) - 3x-2, what is (nofog)(x)?
o (hofog)(x) = -2
o (hofog)(x) = 3X-8
o (hºfog)(x) = *=14
(nofog)(x) - 3x-4

Answers

Answer:

first option  y + 7 = –(x + 6) is correct option

Step-by-step explanation:

Answer this is your dont like the Teletubbies‍. Literally there your sleep paralysis!
Search them up if your dont know them!!!!
10 points!

Answers

Answer:

I am terrified of the Teletubbies. I always have been, I even hated it as a young child. (I'm 15 now) I still love Blues Clues though. Still slaps.

Step-by-step explanation:

Answer:

tramuatized

Step-by-step explanation:

teletubies are h e l l a wierd

Help me out fast.....

Answers

Answer: 1,000

Step-by-step explanation:

1,000 .. hope that helps u out :)

Please help answering these questions 10 points help please (look at the picture)

Answers

Answer:

46. -22

47. -22

48. 8

Answer:

46) -22

47) -22

48)  8

49) -8

50) -4

51)  4

Step-by-step explanation:

Jen bought 5 CD's for $57.50. What was the unit price?

Answers

Answer:

$11.50 per CD

Step-by-step explanation: u have to make 5 into 1, thats divinding. Then u divide $57.50 by 5, there's your unit price :)

72 + (7x+24) = 180
need to find value of x with steps

Answers

Answer:

[tex]\boxed {x = 12}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]72 + (7x + 24) = 180[/tex]

Add both [tex]72[/tex] and [tex]24[/tex] together:

[tex]72 + (7x + 24) = 180[/tex]

[tex]96 + 7x = 180[/tex]

-Subtract [tex]96[/tex] to both sides:

[tex]96 - 96 + 7x = 180 - 96[/tex]

[tex]7x = 84[/tex]

-Divide both sides by [tex]7[/tex]:

[tex]\frac{7x}{7} = \frac{84}{7}[/tex]

[tex]\boxed {x = 12}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]12[/tex].

The value of x in the equation is 12

The given equation is: 72 + (7x+24) = 180

In order to determine the value of x, take the following steps:

1. Expand the terms in the bracket

72 + 7x+ 24 = 180

2. Combine similar terms

7x = 180 - 72 - 24

3. Add similar terms together

7x = 84

4. Divide both sides of the equation by 7

7x / 7 = 84/ 7

x = 12

In order to check if the value of x gotten is correct, substitute for x in the equation

72 + (7(12)+24) = 180

72 + 84 + 24 = 180

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can someone PLEASE help me on this PLEASE.
The given table of values represents a linear equation. What is the slope?

Answers

Answer:

2

Step-by-step explanation:

slope=∆y/∆x

slope=(9-7)÷(3-2)

slope= 2.

PLEASE HELP
Interest rates have dropped steadily over the last six months. Each month they have decreased by 1/4 point.
A. Write an expression to represent the total change of rates over the last six months.
B. Find the total change. Make sure to express your answer as a mixed number in lowest terms.​

Answers

A. Let the Initial Interest rate = x
It is given that each month Interest rate decreases by 1/4 point. Let total change of rate over the last six month= y
y = 6 x -x/4
y = -1.5x

B. Total Change
= (-1.5x-x)/(6-1)
= -2.5x/5
= -0.5x
= -5x/10
= -x/2

How to calculate tan sin cos on calculator ?

Answers

Step-by-step explanation:

Put in sin, tan or cos and put the number next to it and press equal to

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