Answer:
(2, 1)
Step-by-step explanation:
-4 + 6 = 2
-1 + 2 = 1
X and Y become positive by going up and right
Answer:
(2, 1 )
Step-by-step explanation:
A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.
A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.
(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )
Which of the following functions are solutions of the differential equation y" + y = 7 sin(x)? (Select all that apply.)
y = 7 sin(x)
y= 7 cos(x)
y= 7x sin(x) - 8x cos(x)
y = 7/2 sin(x)
Y = - 7/2 cos(x)
The homogeneous equation
y'' + y = 0
has characteristic equation
r² + 1 = 0
with roots at r = ± √(-1) = ± i, and so the characteristic solution is
y = C₁ cos(x) + C₂ sin(x)
Using the method of undetermined coefficients, suppose
y = a x cos(x) + b x sin(x)
(we would normally consider y = a cos(x) + b sin(x), but cos(x) and sin(x) are already part of the characteristic solution)
The derivatives are
y' = a cos(x) - a x sin(x) + b sin(x) + b x cos(x)
y' = (b - a x) sin(x) + (a + b x) cos(x)
and
y'' = -a sin(x) + (b - a x) cos(x) + b cos(x) - (a + b x) sin(x)
y'' = (-2a - b x) sin(x) + (2b - a x) cos(x)
Then
y'' + y = (-2a - b x) sin(x) + (2b - a x) cos(x) + a x cos(x) + b x sin(x)
7 sin(x) = -2a sin(x) + 2b cos(x)
and it follows that a = -7/2 and b = 0.
So, the general solution to the DE is
y = C₁ cos(x) + C₂ sin(x) - 7/2 x cos(x)
which means the only valid solutions from the given choices are
y = 7 sin(x)
y = 7 cos(x)
Please HELP Write the graph's domain and range in interval notation.
Step-by-step explanation:
Domain: x€ [ -7;7]
Range : y€ [-6;4]
For the domain, the graph's x-values are from -7 to 7
For the range, the graph's y-values are from -6 to 4
1. According to the fundamental theorem of algebra, how many zeros does the function [tex]f(x) = 3x^6 - 7x^5 - 53x^3 - 43x - 34[/tex] have?
2. What are the zeros of [tex]f(x) = 6x^3 + 25x^2 - 24x + 5[/tex]
Answer:
See below for answers
Step-by-step explanation:
1) The Fundamental Theorem of Algebra states that in an nth-degree polynomial, there are n zeroes at most, including those that are complex. Therefore, there are 6 zeroes in the function since it's a 6th-degree polynomial.
2) Reduce the polynomial and use the Zero Product Property:
[tex]0=6x^3+25x^2-24x+5[/tex]
[tex]0=(6x^2-5x+1)(x+5)[/tex]
[tex]0=(3x-1)(2x-1)(x+5)[/tex]
[tex]x_1=\frac{1}{3},x_2=\frac{1}{2},x_3=-5[/tex]
I have a Statistics question
Answer:
okayyyyyyyyyyyyyyyy
Step-by-step explanation:
have a nice day
America says that the point (0,0) on the graph below means that you use no sugar if you make 1 pie. Is America correct?
Answer:
America is correct
Step-by-step explanation:
it says 0,0 and then it would mean it wouldn't have any sugar in the pies
Answer:
No, America's wrong.
If you look on the graph, as the line increases you can see one pie needs around 3/4(not accurate). (0,0) is the origin point. No sugar is used, and no pie was made.
a shape is made of 12 right triangles of equal size each right triangle has a base of 4 cm and a height of 5 cm what is the total area in square centimeter of the shape
Answer:
Step-by-step explanation:
The area of a triangle is equal to half the product of its length (L) because of its height (h).
The base of the triangles is
The height of the triangles is
Then the area of one of the triangles is:
The figure is formed by 12 equal triangles, then the area of the figure is:
please help me with this!
•
•
•
Answer:
y=-2 is y intercept, graph opens upward like a smiley face
a=3 ,b=1, c=-2
Step-by-step explanation:
1.the graph opens upward since 3x^2 is positive
2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...
3(0)^2 + (0) -2 =y so y=-2 is y intercept
y=ax+bx+c
y=3x^2+x-2
a is represented by 3
b is 1 since x is positive
c is -2
Compound interest compounded quarterly is given every ______ months. *
1 point
1
3
6
Compound interest compounded semiannually is given every ___ months. *
1 point
1
3
6
The algebraic equation for interest is______. *
1 point
y=mx+b
e=mc2
i=prt
Principal $2000, rate 3.1%, 2 months, compounded monthly. Calculate the balance at the end of 2 months. *
1 point
$2010.35
$2025.62
$2003.10
What is your favorite Christmas cookie? *
1 point
chocolate chip
sugar cookie
peanut butter
other
Calculate the simple interest earned: principal $1000, rate 4%, 7 days *
1 point
$10.00
$0.77
$23.33
How is compound interest similar to a snowball rolling down a snow covered hill? *
1 point
The interest rate used to calculate earned interest is represented as a percent. True or False *
1 point
True
False
First name *
Given the same principal, rate and time which investment calculation would earn less? *
1 point
simple interest
compound interest
Last name *
Which word refers to the money deposited into an interesting bearing account ? *
1 point
cash
principal
bling
Answer:
3 months, 6 months, interest is 1 point or 0.01 for every percent, 2010.35, peanut butter but why is this a question, 0.77, It is similar to a snowball because as time goes on the account grows at the same percent but it is more money so it is a larger amount. This is very common in dividend investing. next question, yes it is a percent, simple because compound is always more or the same, I would say principal but I am not sure
Step-by-step explanation:
A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?
Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Step-by-step explanation:
Answer:
705.8823529411765
Step-by-step explanation:
You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765
can someone please help me i'm almost done with my work
Answer:
you are correct with the following question
-
Point K is on line segment JL. Given JK = 3 and KL = 8, determine the length
JL.
Answer:
JL = 11 units
Step-by-step explanation:
Add the units between JK and KL together to get the answer for JL
24 peppermint; 8 to 5
11. Scott made 21 treat bags for his sister's birthday party. Each treat bag has the same
number of items inside. He used another 14 items after that. Write an expression to represent
the total number of items Scott used for the treat bags.
Answer:
21 x n + 14
Step-by-step explanation:
The number of items in each bag times the number of bags plus the 14 items.
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (0- -3)/(5- -4)
m = 3/9 = 1/3
Helppppppppppppppppppp
Answer:
<6
<4
Step-by-step explanation:
Remote interior angle is an interior angle that is not adjacent to the exterior angle of interest.
<6
<4
What is the product of the expression below?
4/7
×
5/8
How to get to the answer
Answer:
isnt the answer just below the question?
On a human, what is the ratio of arms to fingers?
Ratio:-
[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]
[tex]\\ \sf\longmapsto 1:10[/tex]
equations 50 - 3x = 110
Answer:
x = -20
Step-by-step explanation:
50 - 3x = 110
=> -3x = 110 - 50
=> -3x = 60
=> x = -20
Hoped this helped.
Step-by-step explanation:
50 - 3x = 110
3x = 110 - 50
3x = -60
x = -20
The height of a door is 1.8 feet longer than it's with its front area is 1496.9 ft.² find the width and height of the door
The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]
Let
[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]
From the question
[tex]A=w\times h=1496.9\\h=w+1.8[/tex]
We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.
Eliminate the height;
[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]
substitute the value of the front area into the equation and solve for the width
[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]
the width can only take positive value. Now, to get the height
[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]
the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.
Another example can be found in the link: https://brainly.com/question/18625465
A car is traveling at 25 miles per hour during rush hour. How far does the car travel in
2 minute and 45 seconds?
Answer: 1.14583333333 miles
Step-by-step explanation: divide 25/21.81818181818182
The car will travel 1.15 miles in 2 minutes 45 secs
if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs
25 miles = 3600secs
To get the distance traveled in 2 minutes 45 secs, we can write;
x = 165 secs
Divide both expressions
25/x = 3600/165
3600x = 25 * 165
3600x = 4125
x = 1.15 miles
Hence the car will travel 1.15 miles in 2 minutes 45 secs
LEarn more on speed here: https://brainly.com/question/10113134
\displaystyle\lim_{ x \rightarrow 0 } \left( \dfrac{ \sqrt[ m ]{ 1+αx \phantom{\tiny{!}}} \times \sqrt[ n ]{ 1+βx \phantom{\tiny{!}}} -1 }{ x } \right)
Answer:
What are you trying to ask.
Step-by-step explanation:
Please Write in a understandable manner.
Thanks from India.
Do both of them for 50 points
Answer:
1) 7/12, 2) 7/24
Step-by-step explanation:
Just plug in the values of c and d.
1) given: c = -1 1/4, d = -1
1/3 * (-1 1/4) - (-1)^3 = -5/12 + 12/12 = 7/12
(-1^3 is -1 (there's a positive in front as well so the negatives cancel out and it's just 1) and then convert everything to a common denominator (which is 12). 1/3 times -1 1/4 becomes -5/12 when you multiple straight across).
2) given: c = 4 1/4, d = 1 1/2
1/3 * (4 1/4 - (1 1/2)^3) = 1/3 * (17/4 - 27/8) = 1/3 * (34/8 - 27/8) = 1/3 * 7/8 = 7/24
(use pemdas/order of operations and solve the exponent first, then the parentheses. 1 1/2^3 is 27/8, and 4 1/4 is 34/8. when you subtract you get 7/8, then you can multiply straight across with 1/3 and you get 7/24.)
WILL BRAINLIST IF YOU GET CORRECT AND HURRY
A pair of linear equations is shown below: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)
A: On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.
B: On a graph, find the point of intersection of two lines, the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2.
C: On a graph, find the point of intersection of two lines, the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1.
D: On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.
Answer:
answer is b
Step-by-step explanation:
3) A Jewelry artist charges $7.00 for each pair of earrings she sells. in 3 hours, she sells 15 pairs of
earrings. At that rate, how much money could she earn from selling earrings for 5 hours?
Answer: $175
Step-by-step explanation:
$7.00 x 15 = $105.00
$105.00 / 3 hours = $35/hr.
$35 x 5 = $175
A mechanic is paid $61,490 in salary for a year. Assuming there are 26 pays in a year, what is her biweekly (average) salary? $30,745 $3,074.50 $1,182.50 $2,365
Answer:
$2,365
Step-by-step explanation:
Divide $61,490 by 26...
I have 17 ones, 15 tens, and 7 thousands
Answer:
You have 7,167
Step-by-step explanation:
If this was to be converted into a whole number, it would be:
7,167
1. What is the definition of function?
answer choices (select all that apply)
a) Has inputs and outputs
b) Every input has only ONE output
c) X-values can repeat
d) x-values and y-values
Food fryers manufactured by a company that supplies food trucks can fry a
mean of 132.4 pounds of food per hour with a standard deviation of 3.9
pounds per hour. In a given hour, how much food would 99.7% of these fryers
fry?
A. 124.6 pounds per hour to 140.2 pounds per hour
B. 128.5 pounds per hour to 136.3 pounds per hour
C. 120.7 pounds per hour to 144.1 pounds per hour
D. 116.8 pounds per hour to 148.0 pounds per hour
Answer:
Correct Answer is C. 120.7 pounds per hour to 144.1 pounds per hour.
Step-by-step explanation:
Just took the Quiz <3
John types 265 words in 5 minutes. At this rate, how many words does he type per minute
Answer:
John can type 53 words per minute
Step-by-step explanation:
You would divide 265 by 5 to get the result of 53.
Answer: John types 53 words a minute
Step-by-step explanation:
1 We know he types 265 words in 5 minutes
2 DIvide 265 by 5 to get one minute
3 the answer is 53, so he types 53 WPM