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:

2 m/s

Step-by-step explanation:

Given the graph of the baseball thrown into air.

John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.

The height of the baseball (in metres) is modeled by the function graph with respect to time.

To find:

The average rate of change of height of the ball from the point the ball is thrown to the maximum height.

Solution:

Here, the average rate of change can be found by dividing the distance between the two points with the change in time.

The starting time is 0 seconds.

The starting height is 3 metres.

The ending time is 2 seconds i.e. at which the ball reaches the maximum height.

The height is 7 metres.

Therefore, the average rate of change is:

[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]

Answer:

2 meters per second

Step-by-step explanation: I took the test

Answer:

16/c

Step-by-step explanation:

hope this helps <3

Answer:

It would be 16000

Step-by-step explanation:

have a great day :) brainliest would be nice too!

Answer:

78 is the answer

Step-by-step explanation:

ok so look below for steps to solve it!

step 1: it says Jaiden did 3* as many so multiply 3*13=39

step 2: then multiply 39*2=78

step 3: thus, the answer is 78

please give me brainliest! have a great day!

Answer:

Its 78

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

A supplementary triangle has sides adding up to 180°.

We have the side lengths 40, 60, and 80.

To find out if it is a supplementary triangle, we will add all the sides.

40 + 60 + 80 = 180

We get 180° as our answer when we add.

We got 180°, so the answer is yes, it can.

Best of Luck!

Answer:

yes.

Step-by-step explanation:

Any angle that adds up to 180 is a supplementary angles.

based on your examples 40, 60, 80, if you sum it up...

it equates to 180. so the answer is yes.

Answer:

0.0882

Step-by-step explanation:

Given that:

Mean(m) = 281

Standard deviation (s) = 33

Probability of weight between 291 and 299 gram

Obtain the standardized score (Zscore):

P (X ≤ 291)

Zscore = (x - m) / s

Zscore = (291 - 281) / 33

Zscore = 10 / 33 = 0.303

P(Z ≤ 0.303) = 0.61906 (Z probability calculator)

P (X ≤ 299)

Zscore = (x - m) / s

Zscore = (299 - 281) / 33

Zscore = 18 / 33 = 0.5454

P(Z ≤ 0.5454) = 0.70726 (Z probability calculator)

Hence, probability of weight between 291 and 299 gram = 0.70726 - 0.61906 = 0.0882

Answer:

C

Step-by-step explanation:

in trangle NET the angles are 81 and  34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem

ΔHMJ~ΔNET by AA similarity

Answer:

43.55

Step-by-step explanation:

1. Use the distance formula on both points AC and AB.

Distance formula is this:

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(1--5)^2+(8--7)^2} \\\\d=\sqrt{(6)^2+(15)^2} \\\\d=\sqrt{36+225} \\\\d=\sqrt{261} \\\\[/tex]

Distance for AC  is  16.16

Now do the same with the numbers for AB and get the distance of 5.39

2. To get the area, use the formula 1/2 x base x height

AB is the base and AC is the height.

1/2 x 16.16 x 5.39 = 43.55

The area of triangle ABC is 43.5 square units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The shape ABC is a triangle.

Where,

AB = Base

AC = Height

A = (1, 8)

B = (6, 6)

C = (-5, -7)

First, let's find the length of AB using the distance formula:

AB = √((6-1)² + (6-8)²)

= √(25 + 4)

= √(29)

Next, let's find the length of AC using the distance formula:

AC = √((1-(-5))² + (8-(-7))²)

= √(36 + 225)

= √(261)

The area of the triangle ABC can be found using the formula:

Area = (1/2) x base x height

We know that AB is the base and AC is the height,

Area = (1/2) x AB x AC

Area = (1/2) x √(29) x √(261)

Area = (1/2) x √(7569)

Area = (1/2) x 87

Area = 43.5

Therefore,

The area of triangle ABC is 43.5 square units.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

if you are asking for the real number, the answer would be 45.21

Step-by-step explanation:

We simply multiply by 10 since we are given 1 as an exponent

Answer:

7 minutes

Step-by-step explanation:

When Jay and Kevin work together to clear the driveway of snow it takes an average of 14 minutes. If Jay or Kevin works alone to clear the driveway he can clean it in 21 minutes. In total if Jay works alone then he can clean the driveway by spending additional 7 minutes.

Answer:

21

Step-by-step explanation:

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Each number has a 7 numerical difference

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

60+30=90, and because a triangle always has a total of 180 degrees for their interior angles, the remaining angle is 90 degrees, so it is a right triangle, not obtuse.

Answer:

85 + 42x = 337

x = 6

Step-by-step explanation:

For the equation:

We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.

So far we have: 85 + 42x

Now we should set the equation equal to the total amount of money Ms. Williams paid.

This will give us: 85 + 42x = 337

To solve the equation:

Our goal is to find x since that is the number of days Ms. Williams rented the booth for.

First, we subtract 85 from both sides of the equation.

42x = 252

Then, we divide both sides by 42 to isolate our variable, x.

x = 6

X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.

Answer:

80

Step-by-step explanation:

Answer:

The correct answer is 80.

Step-by-step explanation:

=2^4×5

=2×2×2×2×5

=4×2×2×5

=8×2×5

=16×5

=80#

Answer:

13/24 more

Step-by-step explanation:

Dina = 5/6

Natasha = 11/8

Find the LCF

6| 6, 12, 18, 24

8| 8, 16, 24

Get each fraction to have a denominator of 24

5/6 = 20/24

11/8 = 33/24

Subtract 20/24 from 33/24

33/24 - 20/24 = 13/24

Step-by-step explanation:

[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}[/tex]

[tex]\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}[/tex]

[tex]\qquad\quad {:}\leadsto\sf 4.5x [/tex]

Answer:

[tex]m\angle ADC=132^\circ[/tex]

Step-by-step explanation:

The Law of Sines

It is an equation relating the lengths of the sides of a triangle to the sines of its opposite angles. If A, B, and C are the lengths of the sides and a,b,c are their respective opposite angles, then:

[tex]\displaystyle \frac{A}{\sin a}=\frac{B}{\sin b}=\frac{C}{\sin c}[/tex]

We have completed the figure with the variable x for angle BDA. Thus

[tex]\displaystyle \frac{35}{\sin 120^\circ}=\frac{30}{\sin x}[/tex]

Solving for x:

[tex]\displaystyle \sin x=\frac{30\sin 120^\circ}{35}[/tex]

Calculating:

[tex]\sin x=0.742[/tex]

[tex]x=\arcsin 0.742[/tex]

[tex]x\approx 48^\circ[/tex]

Since angles ADC and x are linear, their sum is 180° and:

[tex]m\angle ADC=180^\circ-48^\circ[/tex]

[tex]\mathbf{m\angle ADC=132^\circ}[/tex]

Answer: The answer is B and C

Step-by-step explanation:

Answer:

c. The quotient of a and b is positive.

Step-by-step explanation:

Answer:

[tex]x = 4[/tex]

Step-by-step explanation:

[tex]AD = BC[/tex]

[tex]8x - 12 = 20[/tex]

[tex]8x = 20 + 12[/tex]

[tex]8x = 32[/tex]

[tex] \frac{8x}{8} = \frac{32}{8} [/tex]

[tex]x = 4[/tex]

to be sure

[tex]8x - 12 { = }^{?} 20[/tex]

[tex]8 \times 4 - 12 { = }^{?} 20[/tex]

[tex]32 - 12 { = }^{?} 20[/tex]

[tex]20 = 20[/tex]

Answer:

5ft

Step-by-step explanation:

7 + 10 + 8 = 25

subtract that form 30

25-30

Thane you get

5

so the answer is

5!!!!!

also plz mark me brainliest