a proton moves in an electric field such that its acceleration a is a=-20(1+2t)^-2, where t is the time in seconds. Find the velocity as a function of time if v sub zero =30 when t=0

Answers

Answer 1

a = dv/dt, therefore, to get an expression for v(t), we would integrate the expression for a:
a = -20/(1+2t)^2
v = (1/2)*20/(1+2t) + k = 10/(1+2t) + k
At t = 0:
v0 = 10/1 + k = 30
Therefore, k = 20, and the expression for v(t) is
v(t) = 10/(1+2t) + 20

Related Questions

given the function, f(x)=(x^3)-(3x^2)+(64x)-192 find the zeros

Answers

There are a few ways to find the zeros. I am going to use the grouping method.

NOTE: GCF = Greatest Common Factor

The function: [tex]f(x) = x^3 - 3x^2 + 64x - 192[/tex]

Lets group [tex]x^3 - 3x^2[/tex] and [tex]64x - 192[/tex]

Factor [tex]x^3 - 3x^2[/tex]
Find GCF
GCF = [tex]x^2[/tex]

Divide out the GCF [tex]x^2[/tex]
[tex]\frac{x^3 - 3x^2}{x^2} = (x - 3)[/tex]

Factor From:
[tex]x^2(x - 3)[/tex]

Now factor 64x -192
GCF of 64 and 192 = 64
Factor out 64 from 64x - 192
[tex]\frac{64x - 192}{64} = (x - 3)[/tex]

Factor Form:
[tex]64(x - 3)[/tex]

Now that we have factored the groups, bring them together.
[tex] x^2(x-3)[/tex]
[tex] 64(x-3)[/tex]

[tex]x^2(x-3) + 64(x-3)[/tex]

Since (x-3) is the GCF of [tex]x^2(x-3) + 64(x-3)[/tex], factor (x-3) out.
[tex]\frac{x^2(x-3) + 64(x-3)}{(x-3)} = x^2 + 64[/tex]

Factor Form:
[tex](x-3)(x^2 + 64)[/tex]

Now set [tex](x^2 + 64)(x-3)[/tex] to zero and solve for x.
[tex](x^2 + 64) = 0[/tex]
[tex]x^2 = - 64[/tex]

Take the square root of both sides of the equal sign:
[tex]\sqrt{x^2} = \sqrt{-64}[/tex]
[tex]x = \sqrt{-64}[/tex]
[tex]x = \pm 8i[/tex]

Now for (x-3)
x - 3 = 0
x - 3 + 3 = 3
x = 3

The zeros and answers:
[tex]x = -8i[/tex]
[tex]x = 8i[/tex]
x = 3

A woman is looking for a bigger square office. She finds an office twice the area of her current office. if the perimeter of her current office is 88feet, how many square feet is the new office?

Answers

The woman's new office has twice the area of her current office. By calculating the side length of the current square office from the perimeter and then finding the area, we determine the new office's area to be 968 square feet.

The question asks about calculating the area of a larger office which is twice the area of the woman's current office. Knowing the current office perimeter allows us to find the side length of the current square office and use it to calculate the area of both the current and the new office.

Calculate the side length of the current office from the given perimeter. The formula for the perimeter of a square is 4 × side length. Given that the perimeter is 88 feet, we divide by 4 to find that the side length of the current office is 22 feet. (88 ÷ 4 = 22)To find the area of the current office we square the side length (side length × side length). Thus, the area is 22 feet × 22 feet = 484 square feet.The new office has twice the area of the current one, so its area is 2 × 484 square feet = 968 ft².

The area of the new, larger office is 968 ft².

Factor completely 121x2 − 16.

Answers

Assuming you meant the x2 as x squared, then:

(11x+4)(11x-4)

The factoring of 121x^2 (squared)-16 equals (11x-4)x(11x+4)

Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Answers

Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is c. -13, 21, 55, 89

can someone help me!!!

Answers

let s the side of fabric square and A area of fabric square:

s=√A

s=√2940

s1= 54.22

s 2= √62

s2= 7.9

e is correct

How do you divide a decimal

Answers

U divide a decimal by taking your decimal and dividing it with the number you need to do it with

please help I need a good grade

Answers

The answer would be 1.85, because .85 is 85% so it is 85% out of 100% which means it is .85 out of 1.00, which makes 1.00 c so you add 1.00 and .80 and get 1.85

HELP ME PLEASE WILL PICK BRAINLYEST

Answers

Here's one way to do it.

AB ≅ AC . . . . . . . . . . given
∠BAY ≅ ∠CAY . . . . given
AY ≅ AY . . . . . . . . . . reflexive property
ΔBAY ≅ ΔCAY . . . .. SAS congruence
XY ≅ XY . . . . . . . . . . reflexive property
∠AYB ≅ ∠AYC . . . . CPCTC
BY ≅ CY . . . . . . . . . . CPCTC
ΔXYB ≅ ΔXYC . . . .. SAS congruence

Therefore ...
∠XCY ≅ ∠XBY . . . . CPCTC

A ____________ is a graph that uses adjacent rectangles to display frequencies, or relative frequencies, of quantitative data values. box-and-whisker plot histogram convenience sample mean absolute deviation

Answers

The correct answer is: Histogram

Explanation:
In simple terms histogram is a graph that consists of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval. It represents the distribution of the numerical data. Hence the correct answer is histogram as it conforms to the explanation about graph given in the question.

hey can you please help me posted picture of question

Answers

The correct answer is option D

The solution is shown below:

[tex] x^{2} +16 \\ \\ = x^{2} +(4)^{2} \\ \\ = x^{2} -(-1)(4)^{2} \\ \\ = x^{2} -i^{2} (4)^{2} \\ \\ = x^{2} -(4i)^{2} \\ \\ =(x+4i)(x-4i) [/tex]

On the 4th of July, the probability of a person having a car accident is 0.08. What is the probability of a person driving while intoxicated or having a car accident if the probability of a person driving while intoxicated is 0.25 and the probability of a person having a car accident while intoxicated is 0.13?

Answers

The correct answer is D, 0.20. You add the probabilities of either situation occurring and subtract the probability of both of them occurring.

The answer is 0.20

0.25 + 0.08 - 0.13 = 0.20

2) Use spherical coordinates to find the integral of f(x,y,z) = z over x^2 + y^2 + z^2 < 4 and x,y,z < 0

Answers

1. Denote by [tex]\mathcal D[/tex] the region bounded by the cylinder [tex]x^2+y^2=9[/tex] and the planes [tex]z=0[/tex] and [tex]z=6[/tex]. Converting to cylindrical coordinates involves setting

[tex]\begin{cases}x=r\cos u\\y=r\sin u\\z=v\end{cases}[/tex]

and [tex]\mathcal D[/tex] is obtained by varying the parameters over [tex]0\le r\le3[/tex], [tex]0\le u\le2\pi[/tex], and [tex]0\le v\le6[/tex]. The volume element is

[tex]\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm du\,\mathrm dv[/tex]

so the integral becomes

[tex]\displaystyle\iiint_{\mathcal D}xz\,\mathrm dV=\int_{v=0}^{v=6}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=3}r^2v\cos u\,\mathrm dr\,\mathrm du\,\mathrm dv=0[/tex]

2. Now let [tex]\mathcal D[/tex] denote the region bounded by the sphere [tex]x^2+y^2+z^2=4[/tex] and the coordinate planes in the octant in which each coordinate of the point [tex](x,y,z)[/tex] is negative.

Converting to spherical coordinates, we set

[tex]\begin{cases}x=\rho\cos u\sin v\\y=\rho\sin u\sin v\\z=\rho\cos v\end{cases}[/tex]

where we obtain [tex]\mathcal D[/tex] by varying over [tex]0\le\rho\le2[/tex], [tex]\pi\le u\le\dfrac{3\pi}2[/tex], and [tex]\dfrac\pi2\le v\le\pi[/tex]. The volume element is now

[tex]\mathrm dV=\rho^2\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv[/tex]

so the integral becomes

[tex]\displaystyle\iiint_{\mathcal D}z\,\mathrm dV=\int_{v=\pi/2}^{v=\pi}\int_{u=\pi}^{u=3\pi/2}\int_{\rho=0}^{\rho=2}\rho^3\cos v\sin v\,\mathrm d\rho\,\mathrm du\,\mathrm dv=-\pi[/tex]

hey can you please help me posted picture of question

Answers

Each leaf on the tree diagram represents a possible combination. So we are to find the total number of combinations for the given scenario.

There are 5 ways to select the pant, 7 ways to select a shirt and 3 ways to select the shoes.

Total number of combinations will be the product of all these ways the dress items can be selected.

So, number of combination of outfits = 5 x 7 x 3 = 105

Therefore, option B gives the correct answer

Use the drop-down menus to identify the method used to collect data for each scenario. Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years. Mia asked 20 random students at her school how many hours they spend on the computer each day. Beatriz recorded the number of customers entering a store for each hour interval.

Answers

The answers are published data, survey, and observational study in that order on elearning for anyone still wondering.

Answer:

Step-by-step explanation:

Given:

1) Daniel used the Internet to research the number of tornados reported in the United States each year for the past 10 years.

Published data - Already recorded data used

2) Mia asked 20 random students at her school how many hours they spend on the computer each day.

Survey by Random sampling -- since a small size of whole population selected at random

3) Beatriz recorded the number of customers entering a store for each hour interval.

This is observational data because data was collected after really observing and recording the number of customers entering a store for each hour interval.

Hey can you please help me posted picture of question

Answers

The correct answer for the problem shown in the picture attached is the option A:

A. G(x)=(x+3)^2-2

The explanation is shown below:

1. As you can see in the graph shown in the picture attached, there is two parabolas. The red parabola has the patern function F(x)=x^2, which means that is the most basic function of the quadratic functions. The blue parabola is shifted 3 units on the -x axis and 2 units on the -y axis, therefore, the correct option is the Option A.

Solve the rational equation 8/x+1/5=3/x

Answers

Final answer:

To solve the equation 8/x + 1/5 = 3/x, we multiply the entire equation by 5x to get rid of the fractions to get 40 + x = 15. Solving for x we get x = -25.

Explanation:

To solve the given rational equation 8/x + 1/5 = 3/x, we first need to find a common denominator to combine the fractions. Hence, we multiply the entire equation by 5x to get rid of the denominators:

5 * 8 + x = 15

which simplifies to

40 + x = 15.

Then by subtracting 40 from both sides to solve for x, we get:

x = -25.

That is the solution to the rational equation.

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Final answer:

The rational equation 8/x + 1/5 = 3/x is solved by finding a common denominator, simplifying the equation and then factoring the resulting polynomial to find the roots.

Explanation:

To solve the given rational equation 8/x + 1/5 = 3/x, we first find a common denominator for the fractions. Seeing x and 5, we can take the common denominator as 5x.

Next, we rewrite each term with the common denominator: (40/5x) + (x/5x) = (15/5x). This simplifies to 40/5x + x/5x - 15/5x = 0. Simplifying further we have 8/x - 3/x + 1/5 = 0.

After setting the equation to zero, one may notice that this equation can be solved by bringing the terms together and then trying to factorize the resulting polynomial. The solution of the equation are the roots of the factored polynomial.

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Explain how you can tell when a formula represents a length an area or a volume

Answers

You can tell when a formula represents each of these by the number of dimensions that are multiplied in the calculation.

Ex:

d = 2r (this would only involve multiplying by one dimension, therefore it is a length)

A = bh (this involves multiplying 2 dimensions, giving a measurement of area)

V = lwh (this involves multiplying 3 dimensions, giving a measurement of volume)

Final answer:

To determine if a formula represents a length, area, or volume, consider the units used in the formula.

Explanation:

When determining if a formula represents a length, area, or volume, you need to consider the units used in the formula. Length is typically measured in units such as meters or feet. Area is measured in square units, such as square meters or square feet. Volume is measured in cubic units, such as cubic meters or cubic feet.

For example, suppose you have a formula that involves only one variable and it includes units such as meters. This formula would most likely represent a length. If the formula involves two variables and includes units like square meters, then it represents an area. And if the formula involves three variables and includes units like cubic meters, then it represents a volume.

It's important to pay attention to the units to determine whether a formula represents a length, area, or volume.

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side sides are 5.

Answers

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

[tex]A = \frac{(AB + CD)DH}{2} [/tex]

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

how do I solve 9y+3=6y+15 then y =

Answers

You’re answer is Y=4.

Using the photo I have provided, you can see the steps. I performed these steps as you need to isolate the variable, Y. Once you do that, you must preform a one or two step equation to then get what said variable equals.

Hope this helps!

Just combine like terms here i'll show you.
9y-9y+3=6y-9y+15
3=-3y+15
3-15=-3y+15-15
-12=-3y
-12/-3=-3y/-3
y=4

what is the point slope form of a line with a slope 4/5 that contains the point (-2,1)

Answers

[tex]Use:\ y-y_1=m(x-x_1)[/tex]

[tex]We\ have:\\\\m=\dfrac{4}{5}\\\\(-2;\ 1)\to x_1=-2\ and\ y_1=1[/tex]

[tex]Substitute:\\\\y-1=\dfrac{4}{5}(x-(-2))\\\\\boxed{B.\ y-1=\dfrac{4}{5}(x+2)}[/tex]

if i had 7 apples and someone took away 5 how many would i have left

Answers

you'll have no apples left

If someone took away 5 apples away you would have 2 apples left

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Answers

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x the first number and and the other number 46-x

2. Then, the product of both numbers is:

y=x(46-x)

3. When you apply the distributive property, you obtain:

y=46x-x^2

4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

5. Then, you have:

h=-b/2a
h=-46/2(-1)
h=23 (x coordinate)

6.Then:

y=46x-x^2
y=46(23)-(23)^2
y=529

Therefore the answer is: 23 and 529.

The equation of a parabola is given.

y=−14x2+4x−19

What are the coordinates of the vertex of the parabola?

Enter your answer in the boxes.

Answers

The coordinates are 8, -3.

Answer:

vertex ( [tex]\frac{1}{7}[/tex], [tex]\frac{131}{7}[/tex]).

Step-by-step explanation:

Given : The equation of a parabola is given.

y=−14x²+4x−19

To find : What are the coordinates of the vertex of the parabola.

Solution : We have given that

y = −14x²+4x−19

we will be "completing the square" .

Factor out -14 to make leading coefficient 1

y = -14 ([tex]x^{2} -\frac{2x}{7} +\frac{19}{14}[/tex])

Add and subtract [tex](\frac{-1}{7}) ^{2}[/tex]

y = -14 ([tex]x^{2} -\frac{2x}{7} +\frac{19}{14}+\frac{-1}{7}) ^{2} - (\frac{-1}{7})^{2})[/tex] .

Complete the square

y = -14 ( [tex](x -\frac{1}{7}) ^{2} +\frac{19}{14}- (\frac{-1}{7})^{2})[/tex].

y = -14 ( [tex](x-\frac{1}{7}) ^{2} -\frac{131}{7}[/tex]

Standard form of parabola vertex form y = a(x - h)²+ k,

Where, ( h, k) are vertex

On comparing a = -14 , h= [tex]\frac{1}{7}[/tex], k = [tex]\frac{131}{7}[/tex]

Therefore, vertex ( [tex]\frac{1}{7}[/tex], [tex]\frac{131}{7}[/tex]).

A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game. Their high scores are all between 180 and 220, except for Adam, whose high score is 250. Adam then bowls a great game and has a new high score of 290. How will increasing Adam's high score affect the mean and median?

A
Both the mean and median will increase.
(Choice B)
B
The median will increase, and the mean will stay the same.
(Choice C)
C
The mean will increase, and the median will stay the same.
(Choice D)
D
The mean will increase, and the median will decrease.

Answers

Answer:

Option: C is the correct answer.

C The mean will increase, and the median will stay the same.

Step-by-step explanation:

We know that the mean of scores is the average value of the scores of the score obtained by 4 friends.

i.e. it is the ratio of sum of scores of 4 friends to the total number of person i.e. 4.

Hence, if the score of any of the person will increase then the mean will also increase

( Since, the denominator remains the same and the numerator is increasing so , the resultant value will increase )

Also, we know that the median of the score lie between the data set, i.e. the change in the score of the last score won't affect the median :

Since, here we have 4 data points and the median lie between the 2nd and 3rd data point so change in the 4th data point won't affect the median.

Hence, increasing Adam's high score affect the mean and median as:

Mean will increase and Median remains the same.

The mean and median will increase as Adam's high score rises, while the median will remain unchanged. Then the correct option is C.

What is Mean?

Mean is simply defined as the average of the given set of numbers. The mean is considered one of the measures of central tendencies in statistics.

What is a median?

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

A group of 4 friends likes to bowl together, and each friend keeps track of his all-time highest score in a single game.

Their high scores are all between 180 and 220, except for Adam, whose high score is 250.

Adam then bowls a great game and has a new high score of 290.

If any of the individuals' scores improve, the mean will improve as well.

We also observe that the median of the scoring lies inside the data set, implying that a change in the last score will have no effect on the median.

Because we have four data sets and the median is between the second and third, a change in the fourth data point will have no effect on the median.

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A ball is thrown upward and outward from a height of 77 feet. the height of the ball, f(x), in feet, can be modeled by f left parenthesis x right parenthesis equals negative 0.2 x squared plus 1.4 x plus 7f(x)=−0.2x2+1.4x+7 where x is the ball's horizontal distance, in feet, from where it was thrown. use this model to solve parts (a) through (c).

Answers

From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft

b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.

c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.

what does life expectancy measure

Answers

Life expectancy is an indication of how long a person can anticipate living. It provides a measure of the number of years remaining in a person's life at a particular age, provided death rates do not change.

Hope this helps! :)

HI, PLEASE HELP ASAP~(no one is helping me ;-;) + BRAINLIST!!

Janelle is at the movie theater and has $20 to spend. She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99 . How many snacks, x , can Janelle buy? Inequality that represents this situation: 20≥8+4.99x Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution

Answers

Answer:

Part A : 2 snacks

Part B : Solution to both the inequality and the problem situation ⇒ 1 , 2

Solution to the inequality only ⇒ -4 , 3/4 , 2.3

Not a solution ⇒ 2.5

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

Step-by-step explanation:

Part A :

Janelle has $20 to spend

She spends $8 on a ticket, so , the remaining = 20 - 8 = $12

Each snack costs $4.99

So, the number of snacks =

the integer of ( 12 / 4.99 ) = integer of (2.4) = 2 snacks

Part B:

Inequality that represents this situation: 20 ≥ 8 + 4.99x

Solve for x

∴ 20 - 8 ≥ 4.99 x

12 ≥ 4.99 x

divide both sides by 4.99

∴ (12/4.99) ≥ x

∴ x ≤ 2.4048

The given options are : -4 , 3/4 , 2.3 , 2.5 , 1 , 2

So,

Solution to both the inequality and the problem situation ⇒ 1 , 2

solution to the inequality only ⇒ -4 , 3/4 , 2.3

Not a solution ⇒ 2.5

Answer:

Solutions to Both:

Solutions to the Inequality Only;

3/4

-4

2.3

Not a Solution:

2.5

Step-by-step explanation:

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution

Answers

The given terms can be arranged in 3! = 6 ways. The other 5 are ...
13 × 21 × 7
7 × 13 × 21
7 × 21 × 13
21 × 7 × 13
21 × 13 × 7
Any of these arrangements will give the same answer, 1,911.

Final answer:

The commutative property in mathematics says that the order in which numbers are multiplied doesn't change the product. For example, using the commutative property, the product of 13 x 7 x 21 will be the same as 7 x 21 x 13, which is 1911.

Explanation:

The commutative property is a fundamental concept in Mathematics which states that for multiplication and addition, numbers can be moved around (or commuted) without changing the result. For example, if you have the multiplication problem 13 * 7 * 21, thanks to the commutative property, you can rearrange this problem to: 7 * 21 * 13 or 21 * 13 * 7 or any other arrangement of these three numbers, and the result will remain the same.

Let’s see this in action:
Original arrangement: 13 * 7 * 21 = 1911
Changed arrangement: 7 * 21 * 13 = 1911
As you can see, regardless of how the terms were rearranged, the answer remained the same, thus demonstrating the commutative property.

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Two samples are randomly selected from each population. if a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis?

Answers

You can interpret that the probability is statistically significant enough to reject the null hypothesis. (I don't know if I should elaborate more, so I'll just keep it short)

The trash can is in the shape of a cylinder that has a radius of 2 ft and a height of 5 feet what is the volume of the trash can round to the nearest tenth

Answers

The equation for the volume of a cylinder is r^2 * h * π = V

(2)^2 * 5 * 3.14 = V
4 * 5 * 3.14 = V
20 * 3.14 = V

V = 62.8

Volume is a three-dimensional scalar quantity. The volume of the trash can is 62.8318 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the trash can = π×r²h = π×(2ft)²×(5ft) = 62.8318 ft³

Hence, the volume of the trash can is 62.8318 ft³.

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Find the slope of the line graphed below What does this cartoon demonstrate about the diplomatic tactics of Bismarck in Germany? Amy is late for work at a prestigious law farm. she is driving through town when she sees police lights flashing in her rear view mirror. she immediately pulls off to the side of the road and retrieves her license and proof of car insurance. she puts her car window down and waits patiently for the officer to arrive. when he does, she smiles and offers her documents to the officer, using "sir" when addressing him. officer jones has just pulled over an expensive car for speeding, and as he approaches it he notices an elegant middle-aged woman with a pleasant demeanor. the chief of police has made it quite clear he wants more tickets issued. discretion in this case is expressly limited by:a. the relationship between the alleged criminal and victim.b. the nature of the crime.c. departmental policyd. the relationship between the police and the criminal or victim.e. the less serious a crime is to the public, the more freedom officers have to ignore it. Which statement best describes the condition of japan's economy after world war 2 Daniel is giving a speech and loses his place because he didnt prepare clear notes. He gets really nervous and frazzled as he tries to continue. He mispronounces several words throughout his speech such as ethic, conformity, and individualism. In the middle of the speech he puts his hands over his face, looks down at the podium and starts to mumble parts of his speech at a very high speed. He rushes through the rest of the speech, never looking up at the audience, and then runs off the stage. Based on the pronunciation and articulation of words like ethic, conformity, and individualism, the audience will believe the speaker is _______________. 79+b=159 b= send help pls... :) Which of these effects of expansionary spending would a government most want to avoid? What are three techniques for de emphasizing negative news? Given the balanced ionic equation representing a reaction: 2al(s) + 3cu2+(aq) 2al3+(aq) + 3cu(s)which half-reaction represents the reduction that occurs?al al3+ +3eal3+ +3e alcu cu2+ +2ecu2+ + 2e cu Determine the equation of the line given by the graph.A) y = 2x + 4 B) y = 4x + 2 C) y = 1/2x 2 D) y = 2x + 4 hey can you please help me posted picture of question Solve for xX3=1/27 Solve in fraction simplest form The recommended space needed for certain plant is 2 ft. you want to plant 32 of this plants in a square garden .what is the length of each side of the garden if you follow the recommendation? how do conservationists make use of watersheds and ecozones? The purpose of courts of equity in England in the middle ages was to _____. A.create new laws that were fair and justB. enforce a system of checks and balances on the kingC. create a rule of law D.review decisions made in lower courts E.answer questions about how laws were applied If a solution conducts electricity, it it positive evidence that When you use a graduated cylinder in the lab, you can use it only to find the volume of liquids.True or False? Which statement best compares the accelerations of two objects in free fall? Solve the system using the substituiton methodbranliest offered3x-7y=10x-4y=5 A total of 243 adults and children are at a movie theater. There are 109 more adults than children in the theater. If eh represents the number of adults and b represents the number of children, which system of equations could be used to find the number of adults and the number of children in the theater?