The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?

a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.

Answer:

I believe once it saw the cast iron skillet's beauty, it melted.

Step-by-step explanation:

No clue just that was the first thing in me mind.

Answer:

The result of the correct substitution gives:

x = 3/7 and y = 27/7

Step-by-step explanation:

From the given information:

y = 2x + 3  ---- (1)

3x + 2y = 9 ---- (2)

By using substitutional method

Substitute the value of y = 2x +3 into equation (2)

So,

3x + 2(2x + 3) = 9

3x + 4x + 6 = 9

7x = 9 - 6

7x = 3

x = 3/7

From equation (1), let replace the value of  x  to be 3/7

So,

y = 2x + 3

y = 2(3/7) + 3

y =  6/7 + 3

y = 27/7

Answer: 2W-17

Step-by-step explanation: HOPE THIS HELPS

Step-by-step explanation:

1) 19+i

2) 9-3i

hope this helps bro

Answer:

1. 19

2. 9 + 11i

Step-by-step explanation:

first problem:

first, we rewrite it and remove the parentheses.

12 - 3i + 7 + 3i

then, just remove the opposites and calculate.

19

second problem:

again, we rewrite and remove the parentheses.

12 + 4i - 3 + 7i

then, we calculate and collect like terms.

9 + 11i

The speed of a wave is the product of the wavelength and its frequency.

The speed of the wave is 20m/s

Given

[tex]\lambda = 10m[/tex] --- the wave length

[tex]f =2Hz[/tex] --- the frequency

[tex]A = 3m[/tex] --- the amplitude

The speed of wave (v) is calculated as follows:

[tex]v =f\lambda[/tex]

Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]

[tex]v = 2Hz \times 10m[/tex]

[tex]v = 20ms^{-1}[/tex]

Hence, the speed of the wave is 20m/s

Read more about waves at:

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Use properties of Logarithms to simplify the limit:

[tex]\lim_{x \to \0^+}[/tex]e^3/x(e^x+x)

Move the limit to the exponent:

e^x[tex]\lim_{x \to \0^+}[/tex]3/xln(e^x+x)

Rewrite as:

e^x[tex]\lim_{x \to \0^+}[/tex]3ln(e^x+x)/x

Move 3 outside the limit and applay L'hospitals rules to get the final answer e^6

Answer:

[tex] x = 7[/tex]

Step-by-step explanation:

Value of the exterior angle is equal to the addition of the opposite interior angles in a triangle

[tex]19 + 20 = 6x - 3 \\ 39 = 6x - 3 \\ 39 + 3 = 6x \\4 2 = 6x \\ \frac{42}{6} = \frac{6x}{6} \\ x = 7[/tex]

Answer:

y-1=-1/2(x+7)

Step-by-step explanation:

Find the slope first using the slope formula.

y2-y1/x2-x1

-6-1/7--7

-7/14

Slope is -1/2

Now choose one of the coordinates and put it in point-slope form.

y-1=-1/2(x+7)

Answer:

c

because i just did the test

Answer:

21,200

Step-by-step explanation:

Votes casted = 53000

Votes received = 3/5

Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5

Total votes not received by winner

= 53000 *2/5

= 10,600 * 2

= 21,200

Answer:

[tex]5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Step-by-step explanation:

[tex]sum \: of roots = - 2 + \frac{1}{5} = - \frac{8}{5} \\ product \: of \: roots = - 2 \times \frac{1}{5} = - \frac{2}{5} \\ from \: general \: equation \\ a {x}^{2} + bx + c = 0 \\ {x}^{2} + \frac{8}{5} x \: - \frac{2}{5} = 0 \\ 5 {x}^{2} \: + \: 8x \: - 2 \: = \: 0[/tex]

Answer: 72=6c+10b

Step-by-step explanation:

Answer:

i) 3/8

ii) -2

Step-by-step explanation:

i) 1/2*3/2/(1/2+3/2)

3/4/2

3/4*1/2

3/8.

ii) 1/2+3/2 / 1/3-3/2

2/-1

-2.

Hope this helps :)

Answer:

1.)10  2.)0  3.)10

Step-by-step explanation:

1.) 4 (2) = 8 + 2 = 10

2.) 2(2) - 4/5 = 0

3.)2y + 11/-11 = +3y/-3y +1

2y - 3y = 1 - 11

-1y/-1 = -10/-1 = 10

ten crore is answer for India system

Step-by-step explanation:

hundred million is answer for international system

Answer:

ITS A B F ON EDGE GUYS THE PEOPLE IN COMMENTS RIGHT!!!!!1

Answer:

0.5 is point D

-1/2 is point C

-1.4 is point B

2 is point F

Step-by-step explanation:

Pls give brainliest!

Answer:

Option D. is correct

explanation:

x = 115

<3

Answer:

b

Step-by-step explanation:

Answer:

[tex]\%Percent = 28\%[/tex] ---- Before Lunch

[tex]\%Percent = 72\%[/tex] --- After Lunch

Step-by-step explanation:

Given

[tex]Total = 134[/tex]

[tex]Before\ Lunch = 38[/tex]

[tex]After\ Lunch = 96[/tex]

Required

Determine the percentage of students seen in both cases.

This percentage is calculated by dividing the number of students seen by the total number of students. Then multiplied by 100%

i.e

[tex]\%Percent = \frac{Seen}{Total} * 100\%[/tex]

- Before Lunch;

[tex]\%Percent = \frac{Before\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{38}{134} * 100\%[/tex]

[tex]\%Percent = \frac{3800\%}{134}[/tex]

[tex]\%Percent = 28\%[/tex] --- approximated

- After Lunch;

[tex]\%Percent = \frac{After\ Lunch}{Total} * 100\%[/tex]

[tex]\%Percent = \frac{96}{134} * 100\%[/tex]

[tex]\%Percent = \frac{9600\%}{134}[/tex]

[tex]\%Percent = 72\%[/tex] --- approximated

Answer:

Step-by-step explanation:

11x+11

Answer:

x ≤ 6

Step-by-step explanation:

Let the unknown number be x;

9 times the number is expressed as 9x

9 more than 9 times a number is expressed as 9x + 9

9 more than 9 times a number is less than or equal to 163 is then expressed as;

9x + 9≤ 63

≤ is the less than or equal to sign

Find the solution;

9x ≤ 63 - 9

9x≤54

x ≤ 54/9

x≤ 6

Hence the required solution is x ≤ 6

??????????????????? I do not understand I do not understand I do not understand

Answer:

B. must undergo a logarithmic transformation before undergoing logistic regression.

Step-by-step explanation:

A logistic regression model allows us to establish a relationship between a binary outcome variable and a group of predictor variables. It models the logit-transformed probability as a linear relationship with the predictor variables.

Answer:

40:60:80

Step-by-step explanation:

2x+3x+4x=180 (sum of ang. In tri. Is 180)

X=20

2x is 40

3x is 60

4x is 80

40 plus 60 plus 80 is 180.

Answer:

the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)

Answer: 5/12, 3/14

Step-by-step explanation:

first problem:

first, we just reduce the numbers.

5/4 x 1/3

then, we simply multiply.

5/12

second problem:

again, we just reduce the numbers.

3/2 x 1/7

and then multiply.

3/14

Answer:

$162

Step-by-step explanation:

you divide 6 months by 2 then you divide 108 by 2 then you add the half of 108 and plus it to 108 then you get your total.

The function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

A unit rate means a rate for one of something.

Given that, You are taking a TAE Kwan Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months.

We have unit rate = $15 per month

Since, one month cost is $15 therefore, for 6 months = 15×6 = $90

Therefore, cost of uniform = $108 - $90 = $18

Let you are taking classes for x months, the function of the length of time you have been taking classes,

f(x) = 15x

For 9 month cost =

f(9) = 15×9 = 135

Hence, the function of the length of time you have been taking classes is f(x) = 15x and cost for 9 months is $135

Learn more about unit rates, click;

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(y-4) = 2(X+1)

Step-by-step explanation:

Hey there!

The given eqaution is; y = 2x-5.......(i)

Now; As the eqaution is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the eqaution of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write upto here. But it you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Hope it helps.....

Answer: y - 4  = 2(x + 1)

Step-by-step explanation:

The point slope form formula says that   y - b = m(x-a)  where  m is the slope,b is the y coordinate of a given point , and a  is the x coordinate of the same point.

Remember that parallel lines have the same slopes but different y-intercepts, meaning that  m will equal to 2  because the slope for the line y=2x-5 is 2.

m will be 2, b will be 4 , and  a will be -1.

      y - 4 = 2(x - (-1)     which reduces to  

   y - 4  = 2(x + 1)