Answer:
Following are the solution to the given point:
Step-by-step explanation:
In point a:
[tex]\to 2ty'=8y\to \frac{1}{y} dy = 4 \frac{1}{t} dt\\\\\to \int \frac{1}{y} dy = 4 \int \frac{1}{t} dt \\\\\to \log y = 4 \log t + \log C\\\\\to \log y = \log ct^4\\\\\to y=ct^4 \\\\\to y(-2)=16 \\\\\to 16= c(-2)^4\\\\\to 16= 16c\\\\\to c= \frac{16}{16}\\\\\to c=1\\\\\to r=4[/tex]
In point b:
[tex]\to 2ty' = 8y \\\\\to y'- \frac{4}{t} y=0 \\\\here \ p(t) = \frac{1}{t}[/tex] it's a discontinuous point at t=0, and the largest internal containing -2 since [tex]y=(-2) = 16 \ is\ (-\infty, 0)[/tex]
In point c:
[tex](-\infty,0 ) \cup (0, \infty)[/tex]
A pair of shoes had a sale price of 7650 what was the retail price at a 10% discount
Answer:
make a proportion:
90% - 76.50$
original price is 100% - x$
x=76.50$*100%/90%=85$
Answer: original price is 85$
Step-by-step explanation:
What is the value of x2 + 2y ÷ 2W + 3z for w= 2, x = 5, y = 8, and z = 3?
Answer:
35
Step-by-step explanation:
x2 + 2y ÷ 2W + 3z
plug in the numbers
5(2) + 2(8) ÷ 2(2) + 3(3)
solve and use order of operations
=35
Due to conservation efforts, the panda bear has been removed from the endangered species list. There are now 15,000 in the world, and the population is expected to grow by 10% yearly. Write an equation that models this scenario.
1. y = 15,000(1.10)x
2. y = 15,000(0.90)x
3. y = 15,000(0.10)x
4. y = 15,000(1.90)x
Answer:1
Step-by-step explanation:
you have to put the 1 infornt of the .10 if youre adding 10% more
Answer:
y = 15,000(1.10)x
Step-by-step explanation:
The equation y = 15,000(1.10)x represents the population of panda bears over time. In this equation, "y" represents the population, "15,000" represents the initial population of panda bears, and "1.10" represents the growth rate of 10% per year. The variable "x" represents the number of years.
By raising the growth rate of 1.10 to the power of "x" (the number of years), we account for the compounding effect of the growth rate over time. This equation allows us to calculate the population of panda bears after a specific number of years by multiplying the initial population (15,000) by the growth rate (1.10) raised to the power of the number of years.
For example, if we wanted to find the population after 5 years, we would substitute "x" with 5 in the equation:
y = 15,000(1.10)^5
This would give us the population of panda bears after 5 years, taking into account the annual growth rate of 10%.
If carpet is 1.49 per square foot, how much will it cost for them to get new carpet for the master bedroom.
Answer:
The new carpet for the master room will cost $379.30
Step-by-step explanation:
The bedroom is a rectangle of dimensions:
[tex]4\sqrt {3}+6\sqrt {3}=10\sqrt {3}~ft[/tex]
[tex]6\sqrt {6}~ft[/tex]
Thus, the area of the master bedroom is:
[tex]A=10\sqrt {3}~ft*6\sqrt {6}~ft[/tex]
Multiply the coefficients and the arguments:
[tex]A=60\sqrt {18}~ft^2[/tex]
Calculating:
[tex]A=254.56~ft^2[/tex]
The carpet unit cost is $1.49 per square foot, thus the total cost of the new carpet is:
$1.49*254.56=$379.30
The new carpet for the master room will cost $379.30
what fraction of 2 hours is 20 minutes
Answer:
The fraction is 1/6.
Step-by-step explanation:
In two hours, there are six 20 minute intervals. One interval of them would be 1/6.
What is the value of x is the image below?
R=46°
14x - 2
9x-2 help???
Answer:
the answer and explanation is there in the picture above as I found it hard to answer through text.
don't mind my messy handwriting...
I was writing fast.
Step-by-step explanation:
i hope this helps...
please give me brainliest if you find my answer helpful...
thank you and have a great day ahead :)
WILL GIVE BRAINLIEST PLS HELP!!
What is the Slope & Y - Intercept of Y = 3/4x - 5
m=____
b=_____
Answer:
M=3/4 B=-5
Step-by-step explanation:
The slope has an x attached to it and usually comes first while the y-intercept is the number that is after the x and always keep the plus or minus for +/-
Determine which answers are solutions of the inequality 2x + 1 > 5
A : x = 7
B : x = - 3
C : x = 0
D : x = 2
E: x = 3
F : x = - 1
Answer:
A and E
Step-by-step explanation:
2x + 1 > 5
So, subtract the 1 from both sides,
2x > 4
x > 2
So anything greater than 2...
7 and 3 are greater than 2.
A and E.
A motorcycle make 100 revelation in moving a distance of 220m find the diameter of the wheel
Answer:
Step-by-step explanation:
If it goes 220 meters and has made 100 revolutions that means that each revolution is 220 meters / 100 = 2.2 meters.
That's the same thing as saying that the wheel has a circumference of 2.2 meters.
Circumference = 2*pi * r = pi * d
2 = pi * d
2 = 3.14 * d
2/3.14 = d
d = 0.6369 meters
Hellpppp plzzzzz havent been able to figure it out!!!
cos4θ-cos2θ/sin4θ+sin2θ
Answers:
A. cotθtanθ
B. -cotθ
C. -tanθ
D. -1
Recall the double angle identities:
cos(2θ) = 1 - 2 sin²(θ)
sin(2θ) = 2 sin(θ) cos(θ)
With some rewriting, we can get
cos(4θ) - cos(2θ) = 2 cos²(2θ) - 1 - cos(2θ) = (2 cos(2θ) + 1) (cos(2θ) - 1)
and
sin(4θ) + sin(2θ) = 2 sin(2θ) cos(2θ) + sin(2θ) = sin(2θ) (2 cos(2θ) + 1)
The numerator and denominator both share a factor of 2 cos(2θ) + 1; canceling them leaves us with
(cos(2θ) - 1) / sin(2θ)
Replace cos(2θ) = 1 - 2 sin²(θ) and sin(2θ) = 2 sin(θ) cos(θ) :
((1 - 2 sin²(θ)) - 1) / (2 sin(θ) cos(θ))
-2 sin²(θ) / (2 sin(θ) cos(θ))
- sin(θ) / cos(θ)
- tan(θ)
so the answer is C.
Answer:
(cos4θ-cos2θ)/(sin4θ+sin2θ)
-[2sin((4θ+2θ)/2)sin(2θ-4θ)/2)]/[2sin((4θ+2θ)/2)cos (4θ-2θ)/2)]-sinθ/cosθ-tanθC. -tanθ is your answer.
A car tire has a radius of 10.4 inches. What distance will the tire travel after 20 rotations?
Answer:
Distance traveled after 20 rotations = 1306.24 inches
Step-by-step explanation:
r = 10.4 inches
Distance traveled in one rotation = Circumference of the car tire
Circumference of the car tire = 2πr
= 2 * 3.14 * 10.4
= 65.312 inches
Distance traveled after 20 rotations = 65.312 * 20
= 1306.24 inches
Cheyenne lives on a mountain that is 576.54 feet above sea level. The mountain her grandmother lives on is 408.6 feet above sea level. What is the difference in the elevations of these mountains
Answer:
167.94 feet
Step-by-step explanation:
576.54 - 408.6 = 167.94
I hope this helped, please mark Brainliest, thank you!
Answer:
Cheyenne's moutain is 167.94 feet taller than her grandmothers
Step-by-step explanation:
Cheyenne's moutain is 167.94 feet taller than her grandmothers moutain and the grandmothers moutain is 167.94 feet smaller than cheyenne's. All You have to do to find the answer is to subtract 576.54 from 408.6 and your answer will be 167.94
(Pls give brainliest if u dont mind :D)
What is the range?
-3 -8 -5 0 1 -2 -5 4 6
Answer:
14
Step-by-step explanation:
Range = Maximum value - minimum value
= 6 - (-8)
= 6 + 8
= 14
Answer:
8- -5 -3 -2 0 1 4 6
The cost of gasoline for 12 gallons is $22.18. What is the cost of 1 gallon?
PLZ ANSWERW THE QUESTION BELOW
Answer:
Step-by-step explanation:
5 is 71
and 9 is 109
5 and 1 are the same
Graph the following equation: y=2x+1
Answer:
There you go
Step-by-step explanation:
The graph of y=2x+1 is given in the attachment and the graph has a slope of 2.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given equation is y=2x+1
y equal to two times of x plus one.
The given equation in the form of slope intercept form y=mx+b in which the value of m or slope is 2.
Now we have to find some values of x and y to plot the graph
When x=0
the value of y is 2(0)+1=1
When x=1
y=2(1)+1
y=3
When x=2
y=2(2)+1
y=5
When x=3
y=2(3)+1
y=7
After plotting all these points we draw the graph which is given in the attachement.
Hence, the graph of y=2x+1 is given in the attachment and the graph has a slope of 2.
To learn more on Graph click:
https://brainly.com/question/17267403
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If the terminal side of angle A passes through (-5,2) find the value of sec A
Answer:
The value of sec A = - √29/5
Step-by-step explanation:
As the terminal side of angle 'A' passes through (-5,2).
so the angle is in the 2nd quadrant.
We can find the length of the hypotenuse using the Pythagorean Theorem
[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]
[tex]c^2=5^2+2^2[/tex]
[tex]c^2=25+4[/tex]
[tex]c^2=29[/tex]
[tex]c=\sqrt{29}[/tex]
As we know that
cos A = adjacent/hypotenuse
sec A = 1/cosA
= hypotenuse/adjacent
= √29/-5
= - √29/5
Therefore, the value of sec A = - √29/5
Time traveler can take 5 books with him and he has 79 books to choose from how many different ways can the books be selected
We are given:
The time-traveller has 79 books, but he can only take 5 books
since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter
Hence, we will use combination
Finding the number of ways:
Since we will use combination, ₇₉C₅
We know that the formula for combination is (n!) / (r!(n-r)!)
₇₉C₅ = 79! / 5!(74!)
₇₉C₅ = 22,537,515
Therefore, the time traveller can choose 5 books in 22,537,515 different ways
Nya buys tea for $3.51 and juice for $2.28. estimate how much more she spends on tea than juice
1. Between $1 and $2
2.Less than $1
3. Between $2 and $3
Answer:
1
Step-by-step explanation:
First round up (or down) the prices for the tea and juice.
3.51 --> $4
2.28 --> $2.3 or $2
4-2.3=1.7
4-3= 1
$1-$1.7
Please I need help badly I also have stuff on my account
I WILL GIVE BRAINLIES!!!
Rewrite 15x + 3y = 27 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 15x − 3y = 12 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Rewrite 2y = 16 in slope-intercept form. Give the slope and y-intercept.
y =
m =
b =
Answer:
Would you want us to do all of it?
Step-by-step explanation:
Answer:
1) 15x + 3y = 27 in slope-intercept form.
→y=-5x+9
→m =-5
→b =(0,9)
2) 15x − 3y = 12 in slope-intercept form.
→y =5x-4
→m =5
→b =(0,-4)
3) 2y = 16 in slope-intercept form.
→y =8
→m =0
→b =(0,8)
please help i am on plato
Answer:
Choice A is correct.
Step-by-step explanation:
A function, by definition, only maps one output to one input. You can't have multiple outputs to one input. All the other choices do that, Choice A doesn't.
Answer:
A
Step-by-step explanation:
A function is where there are none of the x-intercepts are repeated. Answer A each has 4 x-intercepts, but none of them are repeated. All the other answers (B, C, and D) have an x-intercept that is repeated.
Hope this helps <3
-2.25-(-3.9) show your work I WILL DO BRAIN LIST 15 POINTS
Answer:
The answer is 1.65
Step-by-step explanation:
−2.25−(−3.9)
=−2.25−(−3.9)
=−2.25+3.9
=1.65
Common factors 20 and 100
Answer:
common factors of 20 are 20,10,5,4,2,1
common factors of 100 are 100,50,25,20,10,5,2,1.The common factors of 20 and 100 are20,10,5,4,2,1, interesting the two sets above.
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did jack make in total in commission during all four weeks?
Answer:
$2,600
Step-by-step explanation:
PLEASE HELP
Consider these three expressions:
Answer:
im not exactly sure if im right but i think it is the 1st option
Step-by-step explanation:
Captain Hook, Captain Sparrow and Long John Silver split a treasure in the ratio 2:5:7. Long John Silver received the greatest portion. Captain Hook received the smallest portion, which was 1000 pounds. How many pounds was the total weight of Long John Silver’s portion of the treasure?
Answer: 3500 pounds
Step-by-step explanation:
Captain Hook: the "2" in the ratio. He got 1000 pounds of treasure so we write a ratio:
2:1000 = 1:500
John Silver: the "7" in the ratio. The ratio then becomes:
1(7):500(7) = 7:3500. His treasure weighs 3500 pounds
Lmk if you have any more questions :DD
Answer:
3500
Step-by-step explanation:
PLZ HELP FAST
Enter an equation in standard form to model the linear situation.
A tank is being filled with gasoline at a rate of 4.6 gallons per minute. The gas tank contained 15 gallons of gasoline before filling started.
Answer:
4.6x+15
Step-by-step explanation:
The rate that the gas is being filled into the tank is 4.6x. The gas that is already within the tank at the start of filing is 15 gallons therefore the answer is y=4.6x+15
hope this helps!
-HM
Answer:
if correct please name me brainliest and thanks 26 2/3 + (-9 10/15)
Step-by-step explanation:
Explain how you get 608,149 to the nearest thousand place
Answer:
Step-by-step explanation:
608,000
you go to thousands look next number left and round up or down and the rest after the thousands becomes zeros
helpppoooo meeeeee :)
Work Shown:
5^6 = 5^(3+3)
5^6 = 5^3*5^3
5^6 = 125*125
In the second step, I used the rule a^(b+c) = a^b*a^c