[tex]A = \left[\begin{array}{ccccc}2&3&5\\7&11&13\\17&19&23\\29&31&37\\41&43&47\end{array}\right] \\ \\ \\ \\ A^T = \left[\begin{array}{ccccc}2&7&17&29&41\\3&11&19&31&43\\5&13&23&37&47\end{array}\right][/tex]
) consider the initial value problem y′−5y=15t+3et,y(0)=y0 y′−5y=15t+3et,y(0)=y0 (a) solve the initial value problem. (enter y0 for y0y0). y(t)y(t)= equation editorequation editor (b) determine the value of y0y0 that separates solutions that grow positively as t→[infinity]t→[infinity] from those that grow negatively.
Answer:
a)value attached below
b)Yo = [tex]\frac{-27}{20}[/tex]
Step-by-step explanation:
A) solving initial value problem
[tex]y' - 5y = 15t + 3e^t[/tex]
y(0) = yo
hence the solution of the initial value problem : y(t)
Y(t) =
Attached below is the detailed solution
B) Yo = [tex]\frac{-27}{20}[/tex] separates the solutions as
t →∞
this is because when y(t) < [tex]\frac{-27}{20} y(t) tends to inifiniy[/tex]
y(t) > [tex]\frac{-27}{20} y(t) tends to inifinity[/tex]
If I add 8.0g of sugar to a cup of tea, and have 2 cups of tea in the morning, how much sugar will I have consumed from drinking tea?
Answer:
16 grams
Step-by-step explanation:
multiply 8.0 grams x 2 cups.
Answer: 16 grams
Step-by-step explanation: 8.0 times 2 is 16. So you drank 16 grams of sugar in 2 cups of tea
1. One complete sentence about rotations.
Answer: The Earth makes one rotation every day.
Step-by-step explanation:
how do we get 8 3/5>8 6/7
make the denominators the same so you cancompare
5-6x.8571 = 8x8571 + 17
false
Step-by-step explanation:
Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 because cm would cancel out C. 2.54cm/1 inch...because in would cancel out D. 1 inch/2.54 cm...because cm would cancel out
Answer:
The correct answer is 1 feet/2.54 cm because the cm would cancel out
Step-by-step explanation:
Here, we want the ratio that would allow us convert from 45 cm into feet.
The correct answer here is 1 feet/2.54 cm because the cm would cancel out, leaving us with the feet only.
It would be a case like;
1 feet/2.54 cm * 45 cm
So, we would have;
(45 cm * 1 feet)/2.54 cm
The price of an item is $6.15. You want to buy two of the items and give the cashier a $10 and a $5 bill. What is the change?
Answer:the answer is
$2.7
Step-by-step explanation:
Answer: The answer is 2 dollars and 70 cents
Step-by-step explanation: if you add 6.15 and 6.15 it equals 12.30 and then if you subtract 15.00 and 12.30 it equals 2.70
Tenths
N Hundredths
w Thousandths
4.1.23
Which statements for 4.123 are true?
Check all that are true.
The digit 1 is in the tenths place.
The digit 2 is in the hundredths place.
The digit 3 is in the thousandths place.
The digit 3 is in the hundredths place.
The digit 2 is in the tenths place.
Answer:
A, B, and C
Step-by-step explanation:
Very simple math. I learned this in second grade.
Why can you multiply both quantities in a ratio by the same number to find an equivalent ratio? Please help I have this for homework and I am very frustrated
Answer:
Multiplying by 1 does not change the ratio
Step-by-step explanation:
Multiplying a/b by c/c gives the equivalent ratio (ac)/(bc) because c/c is 1, the multiplicative identity element. Multiplying by 1 does not change the ratio.
Answer:help me pls then ill help u
Step-by-step explanation:
A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
lilihoops1010 is asking for help! Go help them!
Answer:
Okay! I'll go help! (◠‿◕)
!!20 POINTS!
What are the names of the rays in the figure?
Answer:
A. RS, ST, RT, TS , SR TR
Step-by-step explanation:
Please somebody help I have to redo 11th grade if i dont complete.. brainliest if you can help :(
Answer:
see below
Step-by-step explanation:
Assuming that
Point A is the same as point X
Point B is Point Y
Point C is Point Z
So we have
[tex]X=(1,5)\\\\Y=(2,2)\\\\Z=(6,1)[/tex]
the rule for a rotation of 180° is
For 180 degrees, the rule is (a, b) --------> (-a, -b)
so we have
[tex]X'=(-1,-5)\\\\Y'=(-2,-2)\\\\Z'=(6,1)[/tex]
the rule for reflection across the x axis
(a,b)----->(a,-b)
so we have
[tex]X''=(1,-5)\\\\Y''=(2,-2)\\\\Z''=(6,-1)[/tex]
what is the square root of -1
Answer:
-1
Step-by-step explanation:
Answer:
1 My dearest friend :D :)
From: iOEStep-by-step explanation:
The table shows the total cost, p, for renting a playroom for a birthday party with c party guests. Number of Party Guests (C) Total Cost (p), in Dollars 3 274 7 306 12 346 21 418 Which of the following equations represents the input/output table using function notation? O A. p = 8c + 250 O B. p = 258c C. f(c) = 8c + 250 O D. f(p) = 8c - 250
Answer:
Option (A)
Step-by-step explanation:
Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b
m = Slope of the line
b = y-intercept
Choose the two ordered pairs from the table (3, 274) and (7, 306).
Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{306-274}{7-3}[/tex]
m = 8
Since, equation of a line passing through (x', y') and slope m is,
y - y' = m(x - x')
Therefore, equation of a line passing through (3, 274) and slope = 8,
y - 274 = 8(x - 3)
y - 274 = 8x - 24
y = 8x + 274 - 24
y = 8x + 250
Since, y = p and x = c
Therefore, p = 8c + 250 will be the equation.
Option (A) is the answer.
Answer:ok
Step-by-step explanation: the answer is A
NEED EXPLANATION & PROCESS
Answer:
x = 20, y = 110
Step-by-step explanation:
For x:
[tex]5x + 45 + 3x - 25 = 180\\8x + 20 = 180\\8x = 160\\x = 20[/tex]
For y:
[tex]y + 2x - 5 + 3x - 25 = 180\\y + 2(20) - 5 + 3(20) - 25 = 180\\y + 40 - 5 + 60 - 25 = 180\\y + 35 + 35 = 180\\y + 70 = 180\\y = 110[/tex]
Point B lies on segment AC . Find the length of segment BC if AB = 3.7 cm and AC = 7.2 cm.
Answer:
3.5 centimeters
Step-by-step explanation:
The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.
Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?
Keith wentfor drive in his new car he drove for 86.4 miles at a speed of 54 mph for how many hours did he drive
What is 8.325 rounded to the nearest hundredth?
Answer:
8.3
Step-by-step explanation:
hope it helps
Does 0.63 terminate?
Answer:
No (unless it happens to have a vinculum on top of any digit image attached is an example of a vinculum)
Step-by-step explanation:
0.63 just stops at 0.63
Solve 3x - x + 2 = 12.
O 1) – 5
O 2) 4
0 3 7
4) 5
Answer:
4) 5
Step-by-step explanation:
3x-x+2=12
First, you combine similar terms, so 3x-x which is 2x.
Second, you subtract 2 on both sides which is going to give you 2x=10.
Finally, you divide by 2 on both sides, so the final answer is going to be x=5.
Find the coordinates of the midpoint of TU for T(3,1) and U(5,3)
==========================================================
The given points are T(3,1) and U(5,3)
The x coordinates of these given points are 3 and 5. Add them up to get 3+5 = 8. Then cut this in half getting 8/2 = 4. This is the x coordinate of the midpoint.
The y coordinates are 1 and 3. They add to 1+3 = 4. Then that cuts in half to get 4/2 = 2. This is the y coordinate of the midpoint.
The midpoint is (4,2)
Effectively, we just used the midpoint formula
[tex](x_m, y_m) = \left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \right)[/tex]
In short: add the corresponding coordinates, then divide by 2.
HELP ME PLEASE IM CRYING
Answer:
Yor dying of laughing because of this?
Find the slope of the line that passes through (-4.5, 7/2 ) and (3, 3.5).
-1/6
0
undefined
-6
Answer:
The slope of the line is 0 (there is no change in the y-axis)
Step-by-step explanation:
Here, we want to find the slope of the line that passes through the given points
We use a formula for this;
Mathematically;
m = y2-y1/x2-x1
Substituting the values;
m= (3.5-7/2)/3.5+4.5 = 0/8 = 0
The slope of the line is 0
Bob jogs 3/4 mile each day. How far does Bob jog in 6 days?
Answer:
4 2/4
Simplified: 4 1/2
Step-by-step explanation:
This is the answer because:
1) Since you Bob runs 3/4 mile each day, you have to multiply 3/4 with 6 because they are asking how far did Bob jog in 6 days.
2) 3/4*6 is equal to 18/4 which equivalent to 4 2/4 the simplified version is 4 1/2
One half of g plus thirty-two is as
much as the sum of fifteen and six times
g.
Answer:
g=34/11 0r g = 3.09 (approx)
Step-by-step explanation:
1/2g + 32 = 6g + 15
=> 32-15 = 6g-1/2g
=> 17 = 11/2g
=> 34/11 = g
or
g = 3.09 (approx.)
Which problem can be represented by the equation 100x+50=710?
A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
A coin bank can hold 100 coins. There are 50 coins in the bank. A student puts in 710 coins per week. How many weeks until the bank is full?
A coin bank can hold 100 coins. There are 710 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
A coin bank can hold 710 coins. There are 100 coins in the bank. A student puts in 50 coins per week. How many weeks until the bank is full?
Answer: The first answer
A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?
Step-by-step explanation:
We want to see which problem can be represented with the equation:
100*x + 50 = 710.
The correct option is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
So, let's briefly analyze the equation.
We have the linear equation:
100*x + 50 = 710.
On the left side, we have 100 times the variable plus a constant of 50, and that must be equal to 710.
So, we start with 50, and if x counts the number of weeks, we add 100 per week.
And because that is equal to 710, we are counting the number of weeks that we need to add 100 to get to that number.
So the problem that meets these conditions is:
"A coin bank can hold 710 coins. There are 50 coins in the bank. A student puts in 100 coins per week. How many weeks until the bank is full?"
If you want to learn more, you can read:
https://brainly.com/question/2263981
Find the distance between the point (-8,2) and (6,-1)
Answer:
3/14
Step-by-step explanation:
Go to cordinate plane and then find distance.
Is -7 + 28 positive or negative?
Answer:
Positive
Step-by-step explanation:
-7+28=21
21 is positive
Answer:
Positive
Step-by-step explanation:
-7 + 28 = 21
(Pic above) In the figure above , O is the center of square. What is the area of the square?
A. 8
B. 16
C. 32
D. 64