Mathematics High School

The formula that describes an object's motion is given by S=ut+1/2at^2 , where S is the distance traveled, u is the initial velocity, a is the acceleration , and t is the time.
Which equation represents a in terms of the other variables?

A. a= 2S-2u/t

B. a=2S+2u/t

C. a=2S-2ut/t^2

D. a=2S+2ut/t^2

Answers

Answer 1
S = ut + (1/2)a(t²)                            Subtract ut from both sides
(1/2)a(t²) = S - ut                            Multiply both sides by 2
a(t²) = 2s - 2ut                                Divide both sides by t²
a= 2s/t² - 2u/t

a= (2S - 2ut)/t²

Answer is C) but there should be parentheses around the term (2S-2ut)

Related Questions

Which is the quadratic variation equation for the relationship y varies directly with x^2 and y=72 when x=3

Answers

y =72

x = 3

X^2 = 3^2 = 9

k = y/x = 72/9 =8

 so you should have an option of:

y =8x^2


the answerto your question is =8x^2

willie wants to save for a new racing bike. if he deposits $250 in a saving account at 4% simple annual interest, what willis balance be after 3 years?
A.15
B.30
C.265
D.280

Answers

To find how much he gets a year, we multiply 250 by 0.04. He gets 10 dollars the first year. for year 2, we multiply 260 by 0.04 to get 10.4. Do the same to 270.4 to get 281.22. I'd only have to assume you don't get interest off of interest, so it'd round down to 280.
The formula is
A=p (1+rt)
A future value?
P present value 250
R interest rate 0.04
T time 3years
A=250×(1+0.04×3)
A=280

Hope it helps!

In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance? In a study of a weight loss program, 40 subjects lost a mean of 3.0 lb after 12 months. Does the weight loss program have statistical significance?

Answers

no because it is taking the mean if the whole group and not each individual

Answer:

The weight loss program is statistically significant.

Step-by-step explanation:

We can define a statistically significant difference or result as a result which is not attributed to chance. In other words we can say that a statistical significance shows if the difference observed between groups is real or if it has occurred simply due to chance.

Here, given is that 40 subjects lost a mean of 3.0 lb after 12 months.

So, here the weight loss program is statistically significant as the results are unlikely to occur by chance.

The blade of a circular saw rotates at a rate of \2500 revolutions per minute. what is the linear velocity in miles per hour of a point on the tip of the outer edge of a 7 and one fourth7 1 4 inch diameter​ blade?

Answers

The answer to this question is 0.276miles for hour
Final answer:

The linear velocity of a point on the tip of the outer edge of the circular saw blade is 0.429 miles per hour.

Explanation:

To find the linear velocity of a point on the tip of the outer edge of the circular saw blade, we can use the formula:

Linear velocity = 2 * π * radius * angular velocity

Where the radius is half of the diameter. Given that the diameter is 7 1/4 inches, the radius is 7 1/4 / 2 = 3 5/8 inches or 3.625 inches. Converting this to feet, we get 3.625 / 12 = 0.302 feet. To convert the angular velocity from revolutions per minute to radians per second, we multiply by 2 * π / 60. Substituting these values into the formula, we get:

Linear velocity = 2 * π * 0.302 * (2500 * 2 * π / 60) = 37.699 feet per minute.

To convert this to miles per hour, we divide by 5280 (since there are 5280 feet in a mile) and multiply by 60 (since there are 60 minutes in an hour):

Linear velocity = (37.699 / 5280) * 60 = 0.429 miles per hour.

What is 2(6+5•2)=5(4-2•5)

Answers

32=-30 
..................................

Answer: Not true

Step-by-step explanation: 2(16)=5(-6)

32=-30

This is not true

Factor this expression: ab + 4 + a + 4b

Answers

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)
=(a+4)(b+1)

Answer:

Grouping method works best on this one:

ab+a+4+4b=a(b+1)+4(b+1)

=(a+4)(b+1)

Step-by-step explanation:

The coefficients of the expression 5x^4-4x^2+3 are??

Answers

The coefficients of the expression are 5 and 4 because they have a variable next to them. Hope this helps.

A scatter plot has been created with a line of best fit that matches the equation y = 11x + 340. Using this line of best fit, determine the output value when the input is 10. Do you think this matches a point on the scatterplot? Why or why not?

Answers

For the fist part you simply substitute 10 in for x to the equation to get the corresponding y value

y = 11(10) + 340
y = 110 + 340
y = 450

For the second part of that question, do you think this matches a point on the scatterplot.....more than likely this is a NO, as generally speaking a line of best fit doesn't pass through many of the data points that it uses to create the equation for the line, so I'd say probably not.

Hope this helps.

Brian
I got 450 with the input of the equation I don't have the proper calculator to do the scatterplot

Lets find F^(-1) if
y=-2x+1
I’m not sure if the F^(-1)=1+x/2

Answers

close enough, let's do the switcharoo of the variables and solve for "y".

[tex]\bf y=-2x+1\qquad \boxed{x}=-2\boxed{y}+1\implies x-1=-2y \\\\\\ \cfrac{x-1}{-2}=y\implies \cfrac{1-x}{2}=\stackrel{f^{-1}}{y}[/tex]
So, again, we have our rules for mapping [tex]y[/tex] to [tex]x[/tex]:

[tex]y=-2x+1[/tex]

To find [tex]f^{-1}[/tex], we solve for [tex]x[/tex].

[tex]y-1=(-2x+1)-1[/tex] (subtract 1 from both sides)
[tex](y-1)/(-2)=(-2x)/(-2)[/tex] (divide both sides by -2)

That gives us

[tex]x= \frac{y-1}{-2} [/tex]

Now that we have a way of mapping [tex]y[/tex] back to [tex]x[/tex], all we do is swap the domain and range, and we have

[tex]f^{-1}(x)= \frac{x-1}{-2} [/tex]

Please do not make into a fraction because I can’t use a fraction as an answer. Rewrite using a negative exponent.
1/(xy)^1

Answers

[tex]\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\ a^{-{ n}} \implies \cfrac{1}{a^{ n}} \qquad \qquad \cfrac{1}{a^{ n}}\implies a^{-{ n}} \qquad \qquad a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\ -------------------------------\\\\ \cfrac{1}{(xy)^{+1}}\implies (xy)^{-1}[/tex]

5. A piece of plywood has a length that is 5 more than twice its width. Write the expression that represents the area of the plywood.

Answers

5w^2 = A
 
You would multiply the width (w) by 5 because it's 5 times more than twice it's width. Then w (Width) would be to the power of 2 because it's 5 times more than twice its width. And this will all equal the Area (a) 

Else's math class has 11 female students and 10 male students.Write the ratio of female students to the total number of students in two different ways.

Answers

The detailed answer explains how to write the ratio of female students to the total number of students in two different ways.

The ratio of female students to the total number of students:

11 female students to 21 total students: 11/21

Alternatively, you can simplify the ratio to 1 female student to 2 total students: 1/2

What type of angles are 6 and 8?

Answers

These angles are called vertical angles. They will always be equivalent with each other.
These angles are called vertical angles.They will always be equivalent with each other and yes that’s the right answer smart cookie

How many solutions are there?

Answers

the answer should be two

Please help me with this!!

Answers

Answer: Choice C) 115 degrees

--------------------------------

Explanation:

The three angles are 42, 73 and 65 degrees. Let's call them x,y, and z respectively
x = 42
y = 73
z = 65

To find an exterior angle for x, we subtract the given angle x from 180
180-x = 180-42 = 138
The exterior angle adjacent to angle x is 138 degrees. This isn't listed so we move on

Do the same for y
180-y = 180-73 = 107
This isn't listed either. So we move on

Repeat for angle z
180-z = 180-65 = 115
This is listed as choice C. That's why choice C is the answer

What is an equation of the line in slope-intercept form? m = 2 and the y-intercept is (0, 3)

Answers

set up as y=mx+b
y=2x+3
Straight line equation is given in the form

y = mx + c

m represents the gradient and c represent where the line intercept y-axis

The y-intercept happens when the value of x-coordinate is 0, so the coordinate is (0, c)

We have, m = 2 and c = 3
The equation of the line is: y = 2x + 3

find an angle measure that is supplementary to this angle 126 degrees

Answers

Answer:

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

The sum of the measures of two supplementary angles is 180°.

180° - 126° = 54°

Answer: 54°

A friend creates an IRA (Individual retirement account) with an APR of 6.25%. She starts the IRA at the age of 25 and deposits $50 at the end of each month. How much will her IRA contain when she retires at the age of 65?

Answers

65 - 25 = 40
so

A = [P (1 + i/n)^nt - 1 ] / (i/n)
A = [50 (1 + 0.0625 / 12)^12*40 - 1] / (0.0625 / 12)
A = $106,596

answer
$106,596

How to solve it using the system of substitution

Answers

Find x, y,and z. Once ypu find that you should be able to find your answer

Y -2 > -11 what is the answer to this

Answers

-9 because you add positive 2 to counter act -2 which gives you -9
14???????????????????????

The graph of a line goes up and to the right when

Answers

it has a positive slope.

Answer: When the coefficient of X is positive!

Marla has a pet hamster. The hamster makes 3 laps around her cage every minute.

What line represents the situation?

Line a

Line b

Line c

Line d

Answers

Find the line that goes up three for every one to the right it goes. B is the line that fits the equation.

Let

x-------> the time in minutes

y------> the number of laps

we know that

In this problem the linear equation represent a direct variation and the slope is equal to

[tex]m=3\frac{laps}{minute}[/tex]

so

the equation of the line is

[tex]y=3x[/tex]

For [tex]x=1\ minute[/tex]

the value of y is equal to

[tex]y=3*1=3\ laps[/tex]

Plot the point [tex](1,3)[/tex] in the graph

therefore

the answer is

The solution is the line b

see the attached figure to better understand the problem

David bought a used car for $3,000 and later sold it for $1,000. What was the approximate percent decrease in the price of the car?

Answers

The approximate decrease is around 66 percent.
The approximate percent decrease in the price of the car, would be 66%. Hope this helps.

Dani is working a sample booth at the national soda and beverage convention. She is paid $1.50 for each of the first ten tastings $2.50 for each of the next twenty tastings and $4.00 for each tasting beyond thirty she conducts each day. Today Dani conducted 36 tastings. How much total pay did Dani earn today?

Answers

She conducted 36 tastings.

10 tastings are in the category of the first 10 tastings.
10 * $1.50 = $15.00

36 - 10 = 26
Out of the remaining 26 tastings, 20 are int eh category of "the next 20 tastings."
20 * $2.50 = $50.00
This accounts for 10 + 20 = 30 tastings.

36 - 30 = 6
She did 6 tastings beyond the 30 tastings, so for the last 6 tastings, she gets paid
6 * $4.00 = $24.00

The total pay is:
$15.00 + $50.00 + $24.00 = $89.00

bh+hr=25
solve for h and r

Answers

Take h common:

h(B + r) = 25

Divide b+r
h = 25/ b + r


Subtract bh:

hr = -bh + 25

Divide h:

r = -bh/h + 25/h

Simplify:

r = -b + 25/h

Hope this helps!

Final answer:

To solve for h and r in the equation bh + hr = 25, isolate one variable, solve for h using division, and solve for r by expanding the equation. There is no unique solution for h and r in terms of each other.

Explanation:

To solve for h and r in the equation bh + hr = 25, we need to isolate one variable on one side of the equation. Let's solve for h first:

bh + hr = 25

Factor out h from the left side of the equation:

h(b + r) = 25

Divide both sides by (b + r) to solve for h:

h = 25 / (b + r)

Now, let's solve for r. Replacing h in the original equation:

bh + hr = 25

b(25 / (b + r)) + r(25 / (b + r)) = 25

Multiply both sides by (b + r) to get rid of the denominators:

25b + 25r = 25(b + r)

Expand the equation:

25b + 25r = 25b + 25r

As we can see, the equation is an identity, meaning any value of r will satisfy it. Therefore, there is no unique solution for r in terms of h, and vice versa.

Learn more about Solving equations here:

https://brainly.com/question/14410653

#SPJ3

what is 63 as the product of prime factors in ascending order?

Answers

When we arrange the numbers in such an order that it starts from the smallest number and goes towards the largest number, that order is called ascending order.
Prime factors of 63 are : 3, 3, 7
As 3 repeats and 3 is smaller than 7 so, when we write this in ascending order as the product of these, we write in such a way;
63 = 3 x 3 x 7 = 3² x 7
Now 3² = 9 and 9 is greater than 7,so,
63 = 7 x 9

(y3 - 4y2 + 7y - 6) ÷ (y - 2)

Answers

(3y-8y+7y-6)/(y-2)
(2y-6)/(y-2)
2(y-3)/2(y/2-2)
(y-3)/(y/2-2)

Write 3 ½% as a fraction

Answers

Answer:

  7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

for the function:

f(x) = -3x^4

complete the table of values using at least 5 points.


x -2 -1 0 1 2

f(x)

Answers

To find the value of f(x) at the 5 provided values of x, we substitute that particular value for x in [tex]-3x^4[/tex].

Doing so, we get:

[tex]f(-2)=-3(-2)^4=-3(16)=-48\\ f(-1)=-3(-1)^4=-3(1)=-3\\ f(0)=-3(0)^4=0\\ f(1)=-3(1)^4=-3(1)=-3\\ f(2)=3(2)^4=-3(16)=-48[/tex]

A card is drawn from a standard deck of 52 playing cards. find the probability that the card is an ace or a black card.

Answers

answer:28/52 chance aka 54% chance

Work:
Prob(ace or black card)= Prob(ace) + Prob(black card) - P(ace and black card)

=4/52 + 26/52 -2/52 
=28/52

The probability that the card is an ace or a black card is 7/13

Probability is the likelihood or chance that an event will occur.

A standard card contains 52 cards. Hence the total outcome is 52.

Since there are 4 aces, the expected outcome is 4The total number of black cards is 26The total card that is ace and black is 2

Get the required probability;

Prob(ace or black card) = Prob(ace) + Prob(black card) - P(ace and black card)

Prob(ace or black card) =  4/52 + 26/52 -2/52  

Prob(ace or black card)  = 28/52

Hence the probability that the card is an ace or a black card is 7/13

Learn more on probability here: https://brainly.com/question/14192140

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