Answers
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
Related Questions
The GCF of 26 39 and 65
Answers
Explanation:
26 is the smallest number. So do a factor tree for it (2 and 13). Then try dividing those factors with one of the other numbers (ex. 39/2 not equal to a whole number and 39/13 equals to a whole number). Use this factor for the leftover number (65).
4x^2 - 9y^6
what patterns can be used ?
please and thank you !!!
Answers
Answer:
B. (U+V)(U-V)
Step-by-step explanation:
Factoring
The given expression is:
[tex]4x^2-9y^6[/tex]
It should be noted that both terms are perfect squares:
[tex](2x)^2=4x^2[/tex]
[tex](3y^3)^2=9y^6[/tex]
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
[tex](U^2-V^2)=(U+V)(U-V)[/tex]
Thus, the answer is
B. (U+V)(U-V)
what is the remainder of 58,511 divided by 21, the quotient is 2,786 R
Answers
Answer:
the remainder is 5. 2,786 R 5
which is a characteristic of any function created by the product of two linear factors?
A. has an axis of symmetry
B. has a maximum
C. has two y intercepts
D. has two x intercepts
Answers
Answer:
the answer is d
Step-by-step explanation:
The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.
According to the question;
We are required to determine which is a characteristic of any function created by the product of two linear factors.The product of two linear factors results in a quadratic function.
Since a quadratic function is a polynomial of degree two, 2.
In essence, the resulting function created by the product of two linear factors has two x-intercepts.
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the sum of four consecutive odd numbers is 48?
Answers
Answer:
The numbers are 9 + 11 + 13 + 15.
Step-by-step explanation: The equation for this is simple.
Take x as the smallest number of the 4 numbers. The second number would be x +2, third number is x+4, and the fourth number is x+6. you add these together, and you get: 4x +12 = 48, you then solve this as a linear equation. 48-12 = 36. Then you divide by 4, which gives you 9 as the smallest number of the 4 numbers. Remember that the second number is 9+2=11, third is 9+4=13, and the fourth is 9+6=15. If you add these together you get 9+11+13+15=48.
how much sugar is in a 1 l bottle of soda
Answers
Answer:
Step-by-step explanation:
It is about 52 grams of sugar in one bottle of soda.
Answer:
It contains a 108 grams of sugar
Find the volume of the prism
Answers
Answer:
do you have an image for that?
Step-by-step explanation:
List the solvent and solute(s) in the scenarios below.
A solution of 32% ethanol and 68% water
Answers
Answer:
no
Step-by-step explanation:
You are planning a party. The space restriction is such that you can only invite 4 people. There are 9 friends to choose from. In how many ways can you select those 4 people?
a. There are (9-8+7+6(4+3+2+1) many ways.
b. There are (9-4)*(8-3)*(7-2)*(6-1) many ways.
c. There are 9*8*7*6 many ways.
d. There are 9*8*7*6/4*4*3*2*1) many ways.
Answers
Given:
Total number of friends = 9
Number of friend to invite = 4
To find:
The number of ways.
Solution:
We know that, total number of ways to select r items from n items is
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
So, the total number of ways to select 4 people from 9 friends is
[tex]^9C_4=\dfrac{9!}{4!(9-4)!}[/tex]
[tex]^9C_4=\dfrac{9!}{4!5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]
[tex]^9C_4=\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex]
Therefore, the required number of ways is [tex]\dfrac{9\times 8\times 7\times 6}{4\times 3\times 2\times 1}[/tex].
Note: All options are incorrect.
Completely factor the expression.
Answers
Answer:
x(8xsquare+6x-20)
Step-by-step explanation:
Answer:
[tex]x(2x+4)(4x-5)[/tex]
Step-by-step explanation:
[tex]x(8x^{2} +6x-20)\\x(2x+4)(4x-5)[/tex]
Help me please and thank you
Answers
b/-4+8=5
Multiply each side by 4
-b+32=20
Move the constant to the right
-b=20-32
-b=-12
Change the signs
b=12
Answer right and I’ll give you brainliest
Answers
Six years ago Deki was P times as old as Benita was. If Deki is now 17 years old, how old is
Benita now in terms of P?
A. 11/P + 6
B. P/11 + 6
C. 17 - P/6
D. 17/P
Answers
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
please make as brainleylist
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm
Answers
Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
[FIRST TO ANSWER GETS BRAINLIEST] Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answers
new width = 20x105% = 21cm
original perimeter = 30x2 + 20x2
= 60 + 40 = 100
new perimeter = 33x2 + 21x2
= 66 + 42 = 108
increase in perimeter = 108-100 = 8
percentage increase = 8/100 x 100% = 8%
Write a equation
3. slope = 5, goes through the point (2,7)
Answers
Answer:
y=5x-3
Step-by-step explanation:
Slope intercept form is y=mx+b and you know the slope so you can get y=5x+b
Then you are given a point, (2, 7), so you can plug that into the equation to find the y-intercept
7=5(2)+b
Then you just solve for b
7=10+b
-10
-3=b
So the final equation is y=5x-3
The required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
The standard equation of the line using the point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is the point on the line
Given the following parameters
m = 5
(x0, y0) = (2, 7)
Substitute the given expressions into the formula as shown:
y - 7 = 5(x-2)
y - 7 = 5x - 10
y - 5x = -10 + 7
y - 5x = -3
Hence the required equation of the line passing through the point (2, 7) and having a slope of 5 is y - 5x = -3
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PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST
Answers
Answer:
102
Step-by-step explanation:
1.2*85=102
Answer:
Step-by-step explanation:
A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas
B. If you are using the 102 pizzas:
65/102= 63.73% of the 102 pizzas so a decrease.
If you are going by the 85 pizzas:
65/85= 74.47% decrease from original 65 pizza
Help me out plz. Struggling :( 5 and 4
Answers
Answer:
#5 = $676.40
#6 = $522.50
Step-by-step explanation:
Lets start with number 5.
Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week
Now for number 6
He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:
Solve for his pay on a normal week:
11 * 40 = 440 a week on a normal week
Find out how much overtime
45-40 = 5 hours
Calculate the pay for the overtime
(11*1.5) x 5 =
16.50 x 5 = 82.5
Add the two pays together
440 + 82.50 = $522.50
also #4 is not provided to me to solve so if you want it solved update this question to include it
Hope this helps :)
PLEASE HELP!! GEOMETRY!!
Answers
=685.67Step-by-step explanation:
Kaelyn is reading a book. The books thickness is 25 millimeters. How many of these books would fit on a shelf that is 1 meter long?
Answers
1000/25=40
You’re welcome
The number of books that can be fit on a shelf is 1 meter long and will be 40.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
Kaelyn is reading a book.
The book's thickness is 25 millimeters.
Then the number of the books that can be fit on a shelf is 1 meter long will be
Let x be the number of the books.
The thickness of the book in meters will be 0.025 m.
Then we have
0.025x = 1
x = 1 / 0.025
x = 40
More about the Algebra link is given below.
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A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle. The shortest side of the other triangle has length 3 inches. What is the perimeter, in inches, of the smaller triangle?
Perimeter = 9.5
Perimeter = 10.6
Perimeter = 15.2
Perimeter = 17.4
Answers
Answer:
wo similar figures have a ratio of 3:5. If 1 side of the smaller figure is 9 ... 12 in. What is the length of LM? x. = 12. 24. A. 13 in. C. 16 in. A. 10 ft. B. 14.4 ft ... How long is the corresponding side of the larger polygon? A. 18 cm. B. 24 cm ... 2. 10. An equilateral triangle has side lengths of 14 inches. Find the altitude of the
Step-by-step explanation:
The perimeter of the smaller triangle will be 17.4. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
A triangle with side lengths of 10, 18, and 30 inches is similar to another triangle.
The shortest side of the other triangle has a length of 3 inches.
Then the perimeter of the smaller triangle will be
Let the other two sides of the smaller triangle be x and y. Then we have
3/10 = x/18 = y/30
From the first two terms, we have
3/10 = x/18
x = 5.4 inches
Then from the first and third terms, we have
y/30 = 3/10
y = 9
Then the perimeter of the triangle will be
P = 3 + 5.4 + 9
P = 17.4 inches
More about the triangle link is given below.
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help! open the attachment below!
Answers
Answer:
yes it is
Step-by-step explanation:X=side lenghths 2/3
Y=perimeter 12/18
2 time 6=12 and 3 times 6=18 and it is paraticly telling you
2/6 and 3/6 i beleve i need a lil more info
A disc jockey at a school dance has equal numbers of rock and pop songs that she randomly selects from. She designs a simulation to estimate the probability that the next three songs are all rock songs.
Which simulation design could she use to estimate the probability?
A. Number cube
Let 1,2,3,4 = rock
Let 5,6 = pop
Roll cube three times. Repeat.
B. Random Digits
Let 0,1,2,3 = rock
Let 4,5,6,7,8,9 = pop
Select three random digits. Repeat
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
D. Number cube
Let 1 = rock
Let 2 = pop
Roll cube three times. Repeat
Answers
Answer:
number cube
let even number= country
let odd number= not country
roll cube three times. repeat.
------------------------
Step-by-step explanation:
a p e x :))
The simulation design could she use to estimate the probability is;
C. Number cube
Let even number = rock
Let odd number = pop
Roll cube three times. Repeat
Probability SimulationWe are told that school dance has equal numbers of rock and pop songs that she randomly selects.If she wants to estimate the probability that the next three songs are all rock songs, what she can do is to assign specific type of digits to each type of song.
For example she can say she wants rock song to be even numbers and pop sons to be represented by odd numbers.The reason why I used even and odd numbers is because we are told that there are equal number of POP and rocks songs and from 0 to 9, we have equal number of even and odd numbers.
Looking at the options, the only one that corresponds to our simulation is option C.
Read more about probability simulation at; https://brainly.com/question/10333446
Mike was training for a marathon. On his first day, he ran 2.45 kilometers. On the second day, he ran 3.8 kilometers. How far did he run altogether?
Answers
Answer:
6.25 kilometers
Step-by-step explanation:
2.45km + 3.8km
= 6.25km
Answer: 6.25 Kilometers
Step-by-step explanation:
First, take 2.45 Kilometers from day one
Then take 3.8 Kilometers from day two
Now add them together for the result of
6.25 Kilometers
Find the simplified product 5/n+1 x n+1/n+3
Answers
Cancel out common factor
Final answer: 5/n+3
Answer: C) 5/n+3
Step-by-step explanation:
Let C(t) be the amount of U.S. cash per capita in circulation at time 1. The table, supplied by the Treasury Department, gives values of C(t) as of June 30 of the specificd year. Interpret and estimate the value of C'(1980).
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
C'(t) was its time, in years, or t shift of cash per unit. That C'(1980) meaning, therefore, becomes the change of cashier's population to t = 1980.
They could either use t = 1970 or t = 1990 to approximate the C'(1980) price. When using t = 1970:
[tex]C'(1980) = \frac{[C(1980) - C(1970)]}{[1980 - 1970]}\\\\[/tex]
[tex]= \frac{(571 - 265)}{10}\\\\ = \$ \ 30.6 \\[/tex]
t = 1990:
[tex]C'(1980) = \frac{[C(1980) - C(1990)]}{[1980 - 1990]}[/tex]
[tex]= \frac{(571 - 1063)}{ -10} \\\\= \$ \ 49.2[/tex]
The following is a conversion table for hours and minutes. Which numbers belong in the hours column?
1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6
Answers
Answer:
Lesson 2 and metric conversions from Module 2. ... Problem 2: Convert hours to minutes. ... of minutes in one hour. How many minutes are in an hour? 0. 1. 2. 3. 4. 5. 6. 7. 8.
The complete table is given below. Then the correct option is C.
Hours Minutes
2 120 3 180 4 240What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
The following is a conversion table for hours and minutes.
We know that in one hour, there are 60 minutes.
In two hours, there are 120 minutes.
In three hours, there are 180 minutes.
Similarly, in four hours, there are 240 minutes.
Then the complete table is given below.
Hours Minutes
2 120
3 180
4 240
Then the correct option is C.
The complete question is given below.
The following is a conversion table for hours and minutes. Which numbers belong in the hour's column?
Hours Minutes
120
180
240
More about the Algebra link is given below.
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What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Answers
Answer: 63%
Step-by-step explanation:
First step
Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.
Assume this rate is x;
[tex]\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10} = 38\\\\x = 380 - 343\\\\x = 37[/tex]
x = 37%
Second step - Survival rate
The survival rate is calculated by;
= 1 - rate of loss
= 1 - 37%
= 63%
Graph f(x)=8+2x. Then find the value of f(x) when x=1/2
Answers
Answer:
9
Step-by-step explanation:
f(1/2)=8+2(1/2)
f(1/2)=8+1
f(1/2)=9
Answer:
f ( 1/2 ) = 9
Step-by-step explanation:
Step 1:
f ( x ) = 8 + 2x Function
Step 2:
x = 1/2 Given
Step 3:
f ( 1/2 ) = 8 + 2 ( 1/2 ) Input x value
Step 4:
f ( 1/2 ) = 8 + 1 Multiply
Answer:
f ( 1/2 ) = 9
Hope This Helps :)
What is the orders pair that is a solution to this equation, y=x+2
Answers
Answer: These are possible solutions:
(0,2) (1,3) (2,4)
Hope this helps..:)