how do you solve this?? pls add your work as well..

How Do You Solve This?? Pls Add Your Work As Well..

Answers

Answer 1

Answer:

[tex](A) - \sqrt2[/tex]

Step-by-step explanation:

Let's find the velocity and acceleration first:

[tex]v(t) = \dot x(t) = cos\ t -( -sin \ t) = cos \ t + sin \ t\\a(t) = \ddot x(t) = -sin\ t + cos\ t = cos\ t - sin t[/tex]

(you can also rewrite the position as [tex]\sqrt 2 sin(t-\frac\pi4)[/tex] and determine velocity and acceleration from there, but I do prefer handling it as a sum for the sake of the derivatives)

At this point, the first time when the velocity is 0 is given by

[tex]cos\ t + sin\ t = 0 \rightarrow cos\ t = - sin t \rightarrow tan\ t = -1 \\t = \frac34 \pi = 2.36s[/tex]

At this point the acceleration is (let's use the first value of t for the sake of our sanity!)

[tex]cos (\frac34 \pi) - sin \frac 34 pi = -\frac1{\sqrt2} -\frac1{\sqrt2} = \sqrt 2 = -1.41[/tex]


Related Questions

Two cyclists are 7 miles apart when they begin biking away from each other in opposite directions. The speed of the first cyclist is 12 miles per hour. The speed of the second cyclist is b miles per hour greater than the speed of the first cyclist. how many miles does the second cyclist bike in 45 mins?

Answers

Answer:

Step-by-step explanation:

45 minutes is 3/4 hr.

(3/4)(12 + b) = 9 + 3b/4 miles

pamelas age is three times jiris age the sum of their age is 32 what is jiris age

Answers

Answer:

Jiris age = 8

Step-by-step explanation:

Jiris = j

Pamelas Age = 3j

Pamelas's age + Jiris age = 32

3j + j = 32

4j = 32

j = 32 / 4

= 8

Jiris age = 8

Pamelas age = 3 times Jiris's

Pamelas age = 24

Answer:

8 years old.

Step-by-step explanation:

P = 3I

P + I = 32

Plug P = 3I into the second equation:

3I + I = 32

I = 32/4 = 8

So Jiris's age = 8.

Billie bikes 9 miles in 45 minutes. At this rate, how many miles can he bike in 90 minutes?

Answers

Answer:

18 miles

Step-by-step explanation:

9 miles : 45 minutes

? miles : 90 minutes

45 x 2 = 90 minutes

9 x 2 = 18 miles

5/6(-4 1/2)(-2 1/5) what is the answer

Answers

your answer is: 8.25

Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).

Answers

Answer:

f(g(- 3) ) = - 5115

Step-by-step explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

        = - 4096 - 4(256) + 5

        = - 4096 - 1024 + 5

        = - 5115

I’m confused on this question

Answers

Answer:

[tex]\lim_{x \to 5}f(x)=-5\\\lim_{x \to 1^-} f(x)=3\\\lim_{x \to 1^+} f(x)=3\\\lim_{x \to 1} f(x)=4\\[/tex]

Step-by-step explanation:

[tex]\lim_{x \to 5}f(x)[/tex]

This means "the limit of f(x) as x approaches 5"

In this case, f(x) is a basic linear function while x > 1, so a limit is not necessary but it can still be used as it is here. For this one, you can just calculate f(5), and that is:

[tex]f(x)=5-2x[/tex]

[tex]f(5)=5-2(5)=5-10=-5[/tex]

[tex]\lim_{x \to 5}f(x)=-5[/tex]

===================

[tex]\lim_{x \to 1^-} f(x)[/tex]

This one is a little different. It means "the limit of f(x) as x approaches 1 from the negative (left) direction"

The negative direction of course means x will be less than 1, so we'll use this function:

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

It's easier if you graph it, but you can also do it like this:

[tex]f(0)=4+0=4\\f(0.5)=4-0.5=3.5\\f(0.75)=4-0.75=3.25\\f(0.9)=4-0.9=3.1\\f(0.99)=4-0.99=3.01[/tex]

There's a clear pattern there. You can see that f(1) should be 3, but this function only applies while x is less than 1 so it can never reach 3. It will get infinitely close, and that can be shown with the limit:

[tex]\lim_{x \to 1^-} f(x)=3[/tex]

===================

[tex]\lim_{x \to 1^+} f(x)[/tex]

This one works the same way, but from the positive (right) direction.

[tex]f(2)=5-4=1\\f(1.5)=5-3=2\\f(1.25)=5-2.5=2.5\\f(1.1)=5-2.2=2.8\\f(1.01)=5-2.02=2.98\\f(1.001)=5-2.002=2.998[/tex]

It will also get infinitely close to 3 when x = 1, but won't ever reach it because this function only applies when x is greater than 1.

[tex]\lim_{x \to 1^+} f(x)=3[/tex]

===================

[tex]\lim_{x \to 1} f(x)[/tex]

Here, the function for x=1 is just:

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

It's given already, so the limit is just:

[tex]\lim_{x \to 1} f(x)=4[/tex]

Independent Task:
Directions:Write the digit in it's place.

1.) 0.34600
______tenths
______thousandths
______hundred thousandths
______hundredths

2.) 20.00642
_______thousandths
_______hundredths
_______hundredths thousandths



Answers

Answer:

1. tenths = 0.3

   thousandths = 0.346

   hundred thousandths = 0.34600

   hundredths = 0.35

2. thousandths = 20.006

    hundredths = 20.01

   hundred thousandths = 20.00642

Step-by-step explanation:

Hope it helps

On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?

-16.75 + (5.72 + 16.75)

Use the commutative property to get:

-16.75 + (16.75 + 5.72)

Use the associative property to get:

(-16.75 + 16.75) + 5.72

Answers

Answer:

5.72

Step-by-step explanation:

(-16.75 + 16.75) = 0

0 + 5.72= 5.72

Therefore, the answer is 5.72

Evaluate - (3 ^ - 5) * (3 ^ 3)

Answers

Answer:

1 / 3^2 = 1/9

Step-by-step explanation:

3^-5 = 1/3^5

(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2

The value of the given expression is 1/9 .

Given,

[tex](3^{-5}) (3^{3} )[/tex]

According to the power rule,

[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]

Now,

[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]

[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]

[tex](3^{-5}) (3^{2} ) = 1/9[/tex]

Thus with the power rule answer will be 1/9.

Learn more about power rule,

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Please help with this

Answers

4 Answers:Choice AChoice CChoice EChoice H

==========================================

Explanation:

A) This is true because there are 4 cups of green and 2 cups of white. Each box represents 1 cup.

B) This is false. The ratio 4:2 reduces to 2:1 when describing the ratio of green to white. We have twice as many green compared to white. Choice B describes the other way around. The order is important.

C) This is true. We have 2 cups of white and 4 cups of green.

D) False. There are 6 cups total, but only 2 white (not 4).

E) True. This is a verbal way of describing the ratio 4:2, of green to white.

F) False. The ratio is the other way around. See choice E.

G) False. There are 4 cups of green, not 6. There are 6 cups total, not 4. The ratio of green to total is 4:6.

H) True. We have 2 cups of white and 2+4 = 6 cups total.


The amount of snowfall in November was 3 2/5feet. The amount of snowfall in December was 1 1/5feet.
How much more snowfall was there in November?
Write your answer as a mixed number in simplest form.

Answers

2 1/5

Step-by-step explanation:

3 - 1 = 2

2/5 - 1/5 = 1/5

2 + 1/5 = 2 1/5

If 10 candy cost $35. How much candy can I buy with $20

Answers

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.



HELP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

helppppppppppppppppppppppppppppppppppp

Answers

Answer:

so the answer is bar graph..

¿Qué fuerza media se requiere para que un objeto de 2 Kg aumente su velocidad de 5 m/s a 12 m/s en una distancia de 8 m?

Answers

Answer:

14.87

Step-by-step explanation:

Para conocer cual es la fuerza que necesita el cuerpo para aumentar su velocidad de 5 m/s a 12 m/s en 8 m

Necesitamos conocer la aceleración y para conocer la aceleración debemos saber cuanto tiempo tarda en recorrer los 8m

Vf = Vo +a(t)

12 = 5 +a(t) -------> Vamos a despejar el tiempo.

t = 7/a

X= Vo(t) +1/2a(t²)

X= 5(7/a)+1/2a( 7/a )²

8 = 35/a+49/2a

a = 7.43 m/s²  

Ahora que conocemos la aceleración podemos calcular la fuerza como:

F = m*a

F = 7.43 * 2 kg.

F = 14.87

Steven walked 3 miles and drove 24 miles. Maureen walked 3 miles and drove
18 miles. Who has the greater ratio of miles walked/miles driven?

Answers

Maureen has the greatest ratio

HELP!!!!! FAST!!!!! !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

37

Step-by-step explanation:

I don't know if this is totally correct

No. of pies donated by the cafeteria⇢9No. of pieces all the pies were cut into⇢8No. of pies that were baked in total⇢ x

ATQ,

★⤿ 8(x+9) ≥ 224

★⤿ x+9 ≥ 224/8

★⤿ x +9 ≥ 28

★⤿ x ≥ 28-9

★⤿ x ≥ 19

Hence , option A is correct ✓

PLEASE ANSWER ASAP (no links please)
Solve for the indicated variable


g/h = e - 10 for g

Answers

Answer:

g = he - 10h

Step-by-step explanation:

Select the number line that shows that two opposite numbers have a sum of 0.

Answers

[tex]Hiya![/tex]

Sokka is here to help!

I believe it is A..

Hopefully, this helps you!!!

[tex]Sokka[/tex]

Answer:

Option B is correct.

Step-by-step explanation:

The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.

3 - 3 = 0 ✔Are they opposites of each other? ✔

=> Therefore, Option B is the correct answer.

Line /1 and line /2 are parallel line

Answers

Step-by-step explanation:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

IT TOOK 15MINS mark me BRAINLIEST pls!

How can you multiply fractions and mixed numbers?​

Answers

Step-by-step explanation:

To multiply fractions:

Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.

To multiply mixed numbers:

Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.

At a particular time, a tree casts a shadow 17 m long on horizontal ground. At the same time, a vertical pole 3 m high casts a shadow 4 m long. Calculate the height of the tree to the nearest tenth of a meter.

Answers

Using a system of equations, the height of the tree would be 12.80 meters.

Equating the height and shadows of the tree and pole :

Height of pole / shadow of pole = height of tree / shadow of tree

Representing the equation thus :

Let the height of the tree = h

3/4 = h/17

Cross multiply

4h = 17 × 3

4h = 51

Divide both sides by 4

h = 51/4

h = 12.75.

Hence, the height of the tree to the nearest tenth of a meter is 12.80 meters.

Learn more : https://brainly.com/question/25562438

Solve the equation for x:
4x2 + 15x = 4
Show steps please

Answers

4 x 2 + 15x = 4
First multiply the 4 and 2
8 + 15x = 4
Next, subtract the 8 on both sides
15x = -4
x=3.75

The sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second. What are the numbers?

Answers

The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

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.

Let's suppose the number are x, y and z

Then,

x + y + z = 118  ...(1)

y = x - 8   ...(2)

z = 3y  ....(3)

After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:

x = 30

y = 22

Then z from the equation (3):

z = 3(22) = 66

Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.

Learn more about the linear equation here:

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h
A. 2x – 1 + 3x = 0
B.
5.2 -1=0
1) How can we get Equation B from Equation A?
Choose 1 answer:
Add/subtract the same quantity to/from both sides
B
Add/subtract a quantity to/from only one side
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property

Answers

Answer:

A

Step-by-step explanation: :}

Which of these situations can be represented by this graph?

Answers

Answer:

Step-by-step explanation:

which could be the function graphed below ??

Answers

Answer:

D  [tex]\sqrt{x+4}[/tex]

Step-by-step explanation:

A watch loses 15 seconds every day how many minutes will it lose in 2 weeks.

Answers

2 weeks = 14 day

14 * 15 = 210 seconds

210/60=3 hours and 30 minutes or 3.5 hours.

help me pls help me ​

Answers

Answer:

Well I’m not sure what Answers do you want

Step-by-step explanation:

The owner of Get-A-Away Travel has recently surveyed a random sample of 496 customers to test the mean age of the agency's customers is over 24 . The appropriate hypotheses are H0: μ ⤠24, Ha: μ > 24 If he concludes the mean age is over 24 when it is not over 24, he makes a _error.

Answers

Using error concepts for hypothesis tests, it is found that there is a Type I error.

A Type I error happens when a true null hypothesis is rejected.

A Type II error happens when a false null hypothesis is not-rejected.

In this problem, the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

 

The alternative hypothesis is:

[tex]H_1: \mu > 24[/tex]

He concludes that the mean age is over 24 when it is not, that is, a true null hypothesis is rejected, hence there is a Type I error.

A similar problem is given at https://brainly.com/question/25225353

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