Answer:
The standard form would be 6,880,000,000..
Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8
Answer:
The position at time t is [tex]s(t) = 8t^2 - 14t -8[/tex]
Step-by-step explanation:
From the question we are told that
The acceleration is [tex]a = 16[/tex]
The velocity at t = 0 is [tex]v(0) = -14[/tex]
The position at time t = 0 is [tex]s(0) = -8[/tex]
Generally acceleration is mathematically represented as
[tex]a(t) = \frac{d v}{dt }[/tex]
=> [tex]\frac{dv}{dt} = 16[/tex]
=> [tex]dv = 16 dt[/tex]
integrating both sides we have
[tex]\int\limits dv = \int\limits16 dt[/tex]
=> [tex]v(t) = 16 t + c[/tex]
Now at t = 0
[tex]v(0) = 16 * 0 +c = -14[/tex]
=> [tex]c = -14[/tex]
So
[tex]v(t) = 16 t -14[/tex]
Generally the position of the body is mathematically represented as
[tex]s(t) = \int\limits v(t)dt[/tex]
So
[tex]s(t) = \int\limits 16t - 14 dt[/tex]
So
[tex]s(t) = 16 \frac{t^2}{2} - 14t + C[/tex]
Now at t = 0
[tex]s(0) = 16 \frac{0^2}{2} - 14(0) + C = -8[/tex]
=> [tex]C = -8[/tex]
So
[tex]s(t) = 8t^2 - 14t -8[/tex]
Rate of change of velocity with respect to time is known as acceleration.
Rate of change of displacement with respect to time is known as velocity.
Body position at time t is given by, [tex]s(t)=8t^{2}-14t-8[/tex]
Data given are, a=16, v(0) = -14, s(0) = -8
Since, [tex]\frac{dv}{dt}=a\\\\\frac{dv}{dt}=16\\\\dv=16dt[/tex]
Integrating both side
We get, [tex]v=16t + C[/tex]
Substituting v(0)=-14 in above equation
We get, C = -14
So, [tex]v=16t-14[/tex]
Since, Rate of change of displacement with respect to time is known as velocity.
[tex]v=\frac{ds}{dt}\\\\ds=vdt\\\\ds=(16t-14)dt[/tex]
Taking integration on both side
We get, [tex]s=16\frac{t^{2} }{2}-14t+c[/tex]
Substituting s(0)= - 8 in above equation
We get, [tex]c=-8[/tex]
So, [tex]s=16\frac{t^{2} }{2}-14t-8\\\\s(t)=8t^{2} -14t-8\\[/tex]
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Select the graph that shows the correct sum.
Answer:B
Step-by-step explanation:
E202 just did :)
Answer:
b
Step-by-step explanation:
edg 2020
How is adding two negative fractions similar to adding two negative integers?
evaluate m-t2 divided (m+p)+2t if m=3,t=10,and p=2
Answer:
[tex]\frac{-97}{25}[/tex]
Step-by-step explanation:
Step 1: Write out equation
[tex]\frac{m-t^2}{(m+p)+2t}[/tex]
Step 2: Define variables
m = 3
t = 10
p = 2
Step 3: Plug them in
[tex]\frac{3-10^2}{(3+2)+2(10)}[/tex]
Step 4: Evaluate
[tex]\frac{3-100}{5+20}[/tex]
[tex]\frac{-97}{25}[/tex]
Yolanda is filling her bathtub. The table shows the number of gallons of water in bathtub at different times since she started filling it.
Time-
1 minute, 1.5 minute, 2 minutes
Water (gallons)
16.50gallons 24.75gallons, 33 gallons
Part A Find the constant of proportionality (in gallons per minute) using the values in the first row of the table.
Answer:
keep looking its in there all you need to do is look
Answer:
16.5 gallons per minute
Step-by-step explanation:
Part A is 16.5 Gallons per minute
Emily sells greeting cards. The graph models the linear relationship between the number of boxes of cards she sells and her profit.
Selling Cards
50
40
Profit (dollars)
30
20
10
0
4 5 6
Number of Boxes
Which of these best describes the profit Emily makes from selling these cards?
$7.50
just took the cfa or test on edguninty
A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.
The amount of profit for selling one box is $7.5.
Option A is the correct answer.
What is a linear relationship on a graph?A linear relationship on a graph describes a relation between two distinct variables x and y in the form of a straight line.
We have,
The graph models the linear relationship between the number of boxes of cards sold and its profit.
We see from the graph that when 4 boxes of cards are sold the profit made is $30.
This can be written as:
4 boxes = $30
Divide both sides by 4 we get,
1 box = 30/4
1 box = $7.5
Thus the amount of profit for selling one box is $7.5.
Option A is the correct answer.
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Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
Answer:
$6.00 to 95 cents = $6.95
Step-by-step explanation:
In currency the dollar is a whole number while the cent is a fraction of the dollar.
For the cent, every 100 cent is a dollar.
Converting the cent to dollar
100 cent = $1k
K= 100/1
95 cent = 100/1 x
95/100= x
0.95$= x
$6.00 to 95 cents = $(6+0.95)
$6.00 to 95 cents = $6.95
What is the difference in the 4 in the first expression and the second?
3x-4 2+4x
Expenses incurred on account increase the accounts receivable balance
See everything available through O’Reilly online learning and start a free trial. Explore now.
Crash Course in Accounting and Financial Statement Analysis, Second Edition by Matan Feldman, Arkady Libman
Changes in Accounts Receivable
Recall that net income (the last line on the income statement and the first line on the cash flow statement) captures revenues and expenses based on the accrual method of accounting. As such, credit sales, in addition to cash sales, may be recorded as revenues.
The sales generated on credit are recorded on the balance sheet as accounts receivable, while cash revenues are recorded on the balance sheet as cash.
I hope I explained well.
If accounts receivable increased from one year to the next, the implication is that more people paid on credit during the year, which represents a drain on cash for the company, as some of the revenues that came in during the year increased the accounts receivable balance instead of cash.
Conversely, if accounts receivable decreased from one year to the next, the implication is that those old accounts receivable were collected (i.e., credit sales were eventually converted into cash sales), representing cash inflow for the company.
What is the distributive property of 7(6+12)
Answer:
126
Step-by-step explanation:
(7x6) + (7 x 12)= 126
What is the solution to the linear equation? (2/3)x-1/2=1/3+(5/6)x
x
=
−
5
Explanation:
2
x
3
−
1
2
=
1
3
+
5
x
6
or
4
x
6
−
1
2
=
1
3
+
5
x
6
or
5
x
6
−
4
x
6
=
−
1
3
−
1
2
or
x
6
=
−
5
6
or
x
=
−
5
In the diagram below, DE is parallel to XY . What is the value of x
A. 110
B. 90
c. 120
D. 70
The value of x in the diagram is 110.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on a given two parallel lines intersected by a transversal line are called the corresponding angles.
Corresponding angles are always equal.
We can also have alternate angles which are always equal.
We can also have alternate interior and exterior angles which are equal.
The angles on the same side make upto 180 degrees
We have,
DE is parallel to XY.
This means,
110 and x are corresponding angles.
Now,
The corresponding angles are equal.
So,
x = 110
Thus,
The value of x in the diagram is 110.
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Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66. What is each girls total monthly expenses for living in the apartment?
Answer:
$556.50
Step-by-step explanation:
25/2=$12.50
52/2=$26
66/2=$33
970/2=$485
485+33+26+12.50 = 556.50
After dividing, the total, Jenna and Harper will pay $556.5
What is division?In maths, a division is a process of splitting a specific amount into equal parts.
Given that, Jenna and Harper are living together and have agreed to split half of all living costs. Rent for the apartment is $970. The water bill is $52. The gas bill is $25, while the electric bill is $66.
We will divide the total bill into two equal parts to find how much one girl should pay.
Therefore,
The total expense = 970+52+25+66 = $1113
Since, both girls are splitting the bill into halves, therefore,
$1113 / 2 = $556.5
That mean, each will have to pay $556.5
Hence, both will pay $556.5
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3 - 6n – 4 < 17
Help thanks
Answer:
n>-3
Step-by-step explanation:
add like terms:
3+-4= 1
Then you end up with--> 6n+1 < 17
Get the variable by itself ( add 1)
6n < 18
Then divide 6n from 18
switch signs.
3n-n+7=25
Please help me quickly!
Answer:
n = 9
Step-by-step explanation:
3n-n+7=25
2n +7 = 25
2n = 18
n = 9
I hope this helps!
-TheBusinessMan
Step-by-step explanation:
3n-n=25-7
2n=18
n=18/2
n=9
In a sample of scores, the sum of squared
deviations from the mean is
1054. The
variance is 62. How large is the sample?
What is the slope Of the line that passes through the points in the picture?
Answer:
5/3
Step-by-step explanation:
To find the slope we pick one set of points
2/3,-1/2
Set your equation up like this
y2-y1/x2-x1
Plug in and subtract(notice the negative)
And we get 5/3
Hope this helps
Lisa sold 6 more than 3 times as many cookies as Mike and then sold 3 more at the end of the sale. Barry sold 9 more than three times as many cookies as Mike. How many cookies did Mike sell ?
there is not enough information its an identity statement
What’s is bigger -1 3/7 or -1 1/2
Answer:
-1 3/7 is largerStep-by-step explanation:
To figure out which is larger, convert each of these mixed numbers to decimals.
-1 3/7 = -1.42857142857
-1 1/2 = -1.5
Negative numbers are larger the closer they are to 0. So, -1 is larger than -2, since -1 is closer to 0.
Since -1.5 < -1.43, -1 3/7 is larger than -1 1/2 since it is closer to 0.
___________________________________________________I AM ALWAYS HAPPY TO HELP :)Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4, 5, 8, 9}. List the elements of each set.
Answer:
[tex]C\ n\ C^c = \{ \}[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
Step-by-step explanation:
Required
Determine
[tex]C\ n\ C^c[/tex]
[tex](A\ n\ C)^c[/tex]
[tex]A\ u\ (B\ n\ C)[/tex]
Solving [tex]C\ n\ C^c[/tex]
[tex]C^c[/tex] implies that elements in U but not in C
Since
[tex]C = \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]C^c = \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{1, 2, 4, 5, 8, 9\}\ n\ \{3, 6, 7, 10\}[/tex]
[tex]C\ n\ C^c = \{ \}[/tex]
Because there's no intersection between both
Solving [tex](A\ n\ C)^c[/tex]
First, we need to determine A n C
[tex]A\ n\ C = \{1, 3, 5, 7, 9\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]A\ n\ C = \{1, 5, 9\}[/tex]
[tex](A\ n\ C)^c = (\{1, 5, 9\})^c[/tex]
[tex](A\ n\ C)^c = \{2,3,4,6,7,8,10\}[/tex]
Solving [tex]A\ u\ (B\ n\ C)[/tex]
First, we need to determine B n C
[tex]B\ n\ C = \{2, 4, 6, 8, 10\}\ n\ \{1, 2, 4, 5, 8, 9\}[/tex]
[tex]B\ n\ C = \{2, 4, 8\}[/tex]
So:
[tex]A\ u\ (B\ n\ C) = \{1, 3, 5, 7, 9\}\ u\ \{2,4,8\}[/tex]
[tex]A\ u\ (B\ n\ C) = \{1, 2,3, 4,5, 7, 8,9\}[/tex]
There are three consecutive odd integers such that the sum of twice the second and the smallest is seven more than twice the largest. Find the sum of the integers.
Answer:
11 +13 + 15 = 39
Step-by-step explanation:
Let the consecutive odd integer be X , Y , Z .
X < Y < Z
Y = X + 2
Z = X + 4
Given ,
2 Y + X = 2 Z + 7
2 ( X + 2 ) + X = 2 ( X + 4 ) + 7
2 X + 4 + X = 2 X + 8 + 7
X = 15 - 4 = 11
So the integers are
11 , 13 , 15 .
Sum of integers = 39.
9+10=
A.) 19
B.) 12
C.) 10
D.) 21
Answer:
Step-by-step explanation:
9 + 10 = 19
answer is A
3(a+1.5)=-1.5
what value of a makes the equation true?
The value of a that makes the equation true is -1.55.
What is the value of a?In order to determine the value of a, take the following steps given this equation: 3(a+1.5)=-1.5
Divide both sides of the equation by 3: a + 1.5 - 1.5/3
a + 1.5 = -0.05
Subtract 1.5 from both sides of the equation : a = -0.05 - 1.5 = -1.55
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Help me, please!
Which data points are represented by the dots at 5 and 9.5?
(A): lower and upper extremes
(B): medians of entire data set
(C): medians of lower and upper quartiles
(D): modes of entire data set
Answer: The answer is (C).
Step-by-step explanation: As you can see the Points are pointing to 9 to 10 which is 9.5
PLEASE HELP!! WILL GIVE BRAINLIEST ANSWER TO THE FIRST PERSON
Answer:
See below.
Step-by-step explanation:
So, from the figure, we can see that US is the combined length of UT and TS. In other words:
[tex]UT+TS=US[/tex]
We are given their equations. Substitute them:
[tex](x-3)+(12)=(3x-11)[/tex]
And this is our answer to 4.
Now, solve for x. Add on the left:
[tex]x+9=3x-11[/tex]
Subtract -3x from both sides:
[tex]-2x+9=-11[/tex]
Subtract 9 from both sides:
[tex]-2x=-20[/tex]
Divide both sides by -2:
[tex]x=10[/tex]
So, for 5, the answer is 10.
And we're done!
A hiker starts at an elevation of 420 yards below sea level descends 1,400 yards and
before ascending for 4,600 yards. What is the elevation at the end of the hike?
Jessie made 3 shots out of 4 tries, how many shots will she make if she tries 12 shots (use a proportion
Answer:
10 out of 12 which is [tex]\frac{5}{6}[/tex] when simplified
Answer:
9:12
Step-by-step explanation:
3:4 is the ratio of her shots to tries
x:12 is the ratio we want to find, so you can turn these into fractions: 3/4 to x/12
to find x you figure out what you multiply 4 by to get to 12, which is 3, so you multiply 3 by 3 and you get 9
so the answer is 9:12
if a negative 10 became a positive 10 how many 100 centimeters are there in 4,057 squared feet?
hilida spent 47$ and know has no money left she had blink before her purchase
Answer:
$47
Step-by-step explanation:
If she spent 47, and had none after, she spent 47.
what is the value 5^4/5^6
Answer:
Step-by-step explanation:
1/5^(6-4) = 1/5^2 = 1/25