Rearrange the equation and solve for v, a, and t.

[tex]d=vt+\frac{1}{2}at^2[/tex]

Answers

Answer 1

Rearranging the equation to solve for the variables gives;

v = d - at^2/t

a = 2d - 2vt/t^2

How to solve for the variables

Given the equation;

d = vt + 1/2 at^2

Let's solve for v

First, collect like terms

vt = d - 1/2 at^2

Now, divide both sides by the coefficient of v which is 't', we have;

vt/t = d - at^2/t

v =

[tex] \frac{d - a {t}^{2} }{t} [/tex]

Let's solve for a

d - vt = at^2/2

cross multiply

2( d - vt) = at^2

expand the bracket

2d - 2vt = at^2

divide both sides by the coefficient of a which is t^2, we have;

2d - 2vt /t^2 = a

a = 2d - 2vt/t^2

Thus, rearranging the equation to solve for the variables gives v = d - at^2/t and a = 2d - 2vt/t^2 respectively.

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Related Questions

In which function is x = 2 mapped to 32?

Answers

G(x)

B is the answer

Which equation represents a line which is parallel to the line ?3x+4y=-4?
A : Y=4/3 x +6
B: Y=4/3 x +8
C: y=3/4x-3
D: Y = -3/4x +7

Answers

D. Y=-3/4x+7 {used demos}

Divied muti-diget numbers 174 divied by 6

Answers

Answer:29

Step-by-step explanation: 174 divided by 6 is 49 becuase 6x49=174

please help asap. 100 points

Answers

Answer:

1,524,211 square miles is equal to 3,947,688 square km

i'm not sure about the second part but i think this is actually the right answer to the first part

Step-by-step explanation:

Arithmetic sequence is described by the formula a

Answers

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

Arithmetic sequence or Arithmetic progression is a series of numbers where the difference between each number and the number preceding is equal.

Arithmetic sequence is described by the formula aₙ=a₁+(n-1)d.

where aₙ is the n-th term of the sequence

a₁ is the first term of the sequence , n is the number of terms in the sequence and d is the common difference.

The terms of the arithmetic sequence are of first term a and common difference d are a , (a + d), (a + 2d) , (a + 3d)....

The sum of n terms of an arithmetic sequence is given by

Sₙ=a₁+aₙ where aₙ is the last term of the AP.

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Find an ordered pair that satisfies the equation 3x + y = 11.

Answers

Answer:

(1, 8)

many possible answers

Step-by-step explanation:

to find an ordered pair to satisfy the equation means to find x and y to make the equation true

we can start off by putting x as 1

3(1) + y = 11

3 + y = 11

then subtract 3 to both sides

y = 8

you must put them in (x, y) form

so

(1, 8) is one of many possible answers

Need help ASAP!!

At the beginning of a snowstorm, Hassan had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 2.5 inches per hour. Assuming no snow was melting, how much snow would Hassan have on his lawn 5 hours after the snow began to fall? How much snow would Hassan have on his lawn after t hours of snow falling?

Answers

Answer:

14.5 inches of snow, S=T(H)+B

Step-by-step explanation:

This question is a linear equation. First, we will extract the important numbers

amount of snow at beginning=2

snow falling per hour=2.5

trying to find how much snow has fallen after 5 hours.

First, lets put this into an equation, variables will go as follows

total amount of snow=S

hours=H

snow at beginning=B

Rate of snow fall=T

Now, we make an equation

S=T(H)+B

Now, substitute the variables out

S=2.5(5)+2

Then, solve

S=12.5+2

S=14.5

For the second question, just put the equation you made as the answer

rkdksksnsenvjdkdkdkdndbsbbnbbbbvggggggggggggggggggggggggvbbbbnnjjnnnnnnn

Answers

Answer: Improper Response

Step-by-step explanation: Please be more specific and I'll answer

In a symmetric, unimodal distribution, about two-thirds of the observations are where?
Choose the correct answer below.
point(s) possible
O A. Within one standard deviation of the mean
OB. More than one standard deviation from the mean
O C. Within three standard deviations of the mean
O D. Within two standard deviations of the mean

Answers

In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".

What is Statistic?

The statistic is the study of mathematics that deal with relations between comprehensive data.

Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.

Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.

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Hannah makes $8.75 per hour. She works 30 hours per week. Find:
a. Her weekly pay
b. Her monthly pay
c. Her yearly pay

can someone explain this?

Answers

Her weekly pay is $262.5Her monthly pay is $1050Her yearly pay is $12600What is Unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Hannah makes $8.75 per hour.

If she works 30 hours per week then

So, her weekly pay

=30*8.75

=262.5

Then her monthly pay

=4* 262.5

=1050

Then the yearly pay would be

=12* 1050

= 12600

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The sum of an integer and 3 times the next consecutive integer is -29. Find the value
of the lesser integer.

Answers

Answer:

[tex]x = -8[/tex]

Step-by-step explanation:

Let [tex]x[/tex] be the integer, then the consecutive integer is [tex]x + 1[/tex]. "3 times the next consecutive integer" means we should multiply [tex]x + 1[/tex] (the consecutive integer) by 3, giving us [tex]3 ( x + 1)[/tex].

We are told that the sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] gives -29. Therefore, we can build an equation.

The sum of [tex]x[/tex] and [tex]3(x + 1)[/tex] can be expressed as [tex]x + 3(x + 1)[/tex].

Therefore,

[tex]x + 3(x + 1) = -29 \text{ // Distribute 3(x + 1)}\\x + 3 \times x + 3 \times 1 = -29\\\to x + 3x + 3 = -29 \text{ // Simplify}\\\to 4x + 3 = -29 \text{ // Subtract 3 from both sides}\\4x + 3 - 3 = -29 - 3\\\to 4x = -32 \text{ // Divide by 4 on both sides}\\\frac{4x}4 = -\frac{32}4\\\to x = -8[/tex]

What is the missing coefficient?
(15x²+11y²+8x)-(7x²+5y² + 2x) = [ ] x² +6y² +6x
=8
How do we get to 8 ?

Answers

The missing coefficients of x² is 8.

According to the question we have been given the expression which is :

        [tex](15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x) = [ ]x^{2} + 6y^{2} + 6x\\[/tex]

In this we have to find the missing coefficient.

To find the missing coefficients we will solve the L.H.S that is

       [tex]= (15x^{2} + 11y^{2} + 8x) - (7x^{2} + 5y^{2} + 2x)[/tex]

First we will eliminate the brackets we get

        [tex]= 15x^{2} + 11y^{2} + 8x - 7x^{2} - 5y^{2} - 2x\\[/tex]

Solving the coefficients of  x² terms , y² terms and x terms we get

        = 8x² + 6y² + 6x

Which is equal to the R.H.S

Combining both the equation we get the coefficient of the x² is 8.

Hence the missing coefficient is 8.

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Find area of these two figures

Answers

From what i can see c will be in the middle so 14cm and d i cant see really but going off what i can see 3cm

There are 20 kids at Jacob's halloween party. 1/2 of the kids are in superhero costumes. 1/4 of the kids are witches or wizards. The rest are pirates. How many pirates are at the party?

Answers

Answer:

Total number of kids = 20

1/2 are in super hero costumes

= 1/2×20

= 10

1/4 are witches or wizards

= 1/4 ×20

= 5

Pirates= 20 - (10 + 5)

= 20 - 15

= 5

turn sentence into an equation: eight times the sum of a number and 6 equals 4. hurry pleas!

Answers

The sum of a number is 92 which is not equal to 4.

8(N+6) = 4

N+6 = 4/8

N=1/2-6

  =11/2

plug that into the original equation to check the solution

8(11/2 + 6) = 4

8(23/2) = 4

8 x23/2 = 4

92 = 4, which is not equal to 4.

An equation is simply a number sentence with a variable in the place of an unknown value. A variable is a letter that is substituted in place of the unknown value. It can be any letter you want, although x or n is most commonly used.There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The term “linear”, though derived from the idea that a linear equation in two variables represents a line, has been generalized from that to mean that the equation involves a polynomial with degree 1. That is, the variable(s) are only multiplied by constants and added to other terms, with nothing more (squaring, etc.)

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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Jake is saving quarters he starts with 5 quarters in his container he adds 3 quarters each day how many quarters will he have for the first 6 days how many will he have on the 13th day

Answers

There are 23 quaters in the container in first 6 days and there are 44 quaters in the container on 13th day.

How to find the number of quaters on the container on frist 6 days and 13 th day?

given that

on first day Jake was saved 5 quarters in the container.

Then he adds 3 quaters each day.

now find the how many quarters will he have for the first 6 days.

from the question

5 + (3 X 6) = 5 + 18 = 23

so, there are 23 quaters in the container in first 6 days.

now find how many quaters will he have on the 13th day.

from the question

5 + (3 X 13) = 5 + 39 = 44

so,there are 44 quaters in the container on 13th day.

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Write a linear equation in standard form that satisfies the given set of conditions. passes through (4, –1) and (8, 3)

Answers

The linear equation in standard form that satisfies the given conditions is

x - y = -5

Given,

Points that the line passes through:

(x₁, y₁) = (4, -1)

(x₂, y₂) = (8, 3)

Let's find the slope of the line,

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex] = [tex]\frac{3-(-1)}{8-4}[/tex] = [tex]\frac{3+1}{4}[/tex] = [tex]\frac{4}{4}[/tex] = 1

Now, we can write the equation in point slope form:

y - y₁ = m(x - x₁)

y - (-1) = 1(x - 4)

y + 1 = x - 4

Add -1 to both sides.

y + 1 - 1 = x - 4 - 1

y = x - 5

Now, let's convert this to standard form.

Ax + By = C

Here,

y = x - 5

Add +5 to both sides.

y + 5 = x - 5 + 5

y + 5 = x

x - y = -5

Now the equation is in standard form.

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What is the answer to this problem ?

Answers

Answer: H=8

Step-by-step explanation:

Because if H times H equals A, and A is 56 you have to divide 7 by 56 and then you get 8 for the variable H.

Select the correct answer from each drop-down menu.

You can measure the ____ between points A and B by using ____ as zero.

First blank
1-positive distance
2-negative distance
3-positive or negative distance

Second blank
1-only point b
2-only point A
3-either point

Answers

You can measure the 1-positive distance between points A and B by using 3-either point as zero.

What is the distance?

Distance means a distance magnitude or a direction vector.

Distance between points A and B is a distance magnitude, which can never be negative because it is the amount of space between the two points.  It does not take into account the direction of the displacement.

The distance between points A and B shows the size of the displacement.  The distance will remain the same whether measured from point A or from point B.

Thus, measuring the points between A and B can start from any of the points, and the measured distance is always positive.

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Which set of ordered pairs represents a function?
O
A. {(3, 1), (3, 2), (3, 3), (3, 4), (3,5)}
B. {(2, 3), (3, 4), (4, 3), (3, 2), (2, 1)}
O C. {(0, 5), (2, 5), (4, 5), (6, 5), (8, 5)}
O D. {(1,4), (2, 4), (3, 4), (4, 3), (4, 2)}

Answers

A

i have to put more than 20 things don’t mind this

Answer: C

Step-by-step explanation: the comment box said so so it must be right

Is f(x)=x^2 a polynomial function?
Explain your answer

Answers

Answer:

For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2

Step-by-step explanation:

60 divided by the sum of 5 and 2

Answers

Answer: 3.75

Step-by-step explanation:

60/(5+11)

60/16

3.75

The linear function that is represented by which table has the same slope as the graph? (the tables are the choices)

Answers

Answer: Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

Step-by-step explanation:

Slope between two points having coordinates,  (x1, y1) (x2,y2) which lie in a coordinate plane is given by:

coordinate plane is given by:

                                = (y2 - y1) / (x2 - x1)

Slope of linear function given in table 1, can be calculated by

We can see table 1,

Then we can write,

                           = (-7 - (-9) ) / (-21 - (-25) )

                           = (-7+9) / (-21+25)

                           = 2/4

                           = 1/2

Slope of linear function given in table 2, can be calculated by

We can see table 2,

Then we can write,

                         = (7-9) / (-21 - (-25) )

                         = -2/-21+25

                         = -2/4

                         = -1/2

Slope of linear function given in table 3, can be calculated by

We can see table 2,

Then we can write,

                              =  (-21 - (-25) ) / (-7 - (-9) )

                              = (-21+25) / (-7+9)

                              = 4/2

                              = 2

Now, slope of line which passes through (0,-3) and (3,3) is

                              = (3 - (-3)) / 3-0

                              = 3+3/3

                              = 6/3

                              = 2

Table 3,

x :  -9   -7    -5   -3    -1

y: -25   -21   -17  -13   -9

has same slope as line given equal to 2.

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Look at the four numbers below.


a) 7.9 X 10-3

b) 7.9 X 104

c) 7.9 X 103

d) 7.9 X 10-4



Test item courtesy of Ontario's College Sector Committee for Adult Upgrading.
Which is equal to 0.0079 in scientific notation?
a)
b)
c)
d)

Answers

The answer that is equal to 0.0079 in scientific notation will be C. 7.9 × 10^-3.

How to illustrate the information?

It should be noted that scientific notation are the way that are used to express the numbers given that are either too small or too large.

Therefore, it should be noted that 0.0079 will be written as:

0.0079 = 7.9 × 10^-3

Therefore, the answer that is equal to 0.0079 in scientific notation will be 7.9 × 10^-3.

In conclusion, the correct option is C.

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The children got out of the pool when their mother said it was time to leave.

Identify the independent variable.

The children got out of the pool

The mother said it was time to leave

The pool

The mother

Answers

The independent variable in the children got out of the pool when their mother said it was time to leave is D. The mother.

What is an independent variable?

It should be noted that an independent variable simply means a variable that can stand alone without being changed by the other variables.

It should be noted that from the information given, the statement is that the children got out of the pool when their mother said it was time to leave.

Therefore, the independent variable in the children got out of the pool when their mother said it was time to leave is the mother as she's not influenced by others.

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Answer:

You should redo your user name

A four-foot tree was planted. It will grow 2.5 feet each year. The relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree is a linear relationship.

Write an equation to represent this relationship.

Answers

The equation to represent the relationship between  number of years and height of tree is y = 2.5x + 4

How to write equation?

The tree was planted at 4 feet.

It will grow 2.5 feet each year.

x =  the number of years since the tree has been planted.

y = the projected height of the tree

Therefore, the relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree can be represented as follows:

The equations is linear.

Hence, it will be in the format below

y = mx + b

where

m = slope b = y-intercept

y = 2.5x + 4

Therefore, the equation to represent the relationship is as follows:

y = 2.5x + 4

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A piano keyboard has a total of 88 key.Which best describes the relationship the black keys have with each other

Answers

The relationship that the black keys have with each other in piano keyboard has a total of 88 keys is that there are 9 blacks keys for every 22 keys.

How to illustrate the information?

It should be noted that in a piano keyboard that has a total of 88 keys, the number of black keys that are in the piano is 36 black keys.

Therefore, the appropriate ratio between the black keys and total keys will be:

= 36 / 88

= 9 / 22

= 9:22

Therefore, the relationship is that there are 9 blacks keys for every 22 keys.

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(8-5)(5-3)^2 I need help please

Answers

Answer:

Step-by-step explanation:

So start with your parentheses, (8-5)(5-3). 8-5=3 and 5-3=2, and when two parentheses are next to each other they will be multiplied.

Example: 3(5-3)^2 ---> 3 x 2^2
Although this "^" means "to the power" so 2 to the power of 2 is 2 x 2=4

So putting it all together we get, (8-5)(5-3)^2 --> 3(5-3)^2 --> 3 x 2^2 [2x2=4] --> 3 x 4 = 12
Your final answer is 12!

If you are still confused please do tell me what is confusing you. :)

what's the answer for. Solve for the variable. Round your answer to the nearest hundredth. -8p-9=8-5p-9​

Answers

-8p-9=8-5p-9

-8p+5p=9-9+8

=3p=8

=3p÷3=8÷3

=p=2.6666

=p=2.67

please help will give lots of points

Answers

Answer:

what is x

Step-by-step explanation:

what is x then ill know

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