We cannot express the function [tex]x^{2} -sin(x+y)=1[/tex] in y=f(x) form it has an implicit function.
Given function [tex]x^{2} -sin(x+y)=1[/tex] and dy/dx=2x sec(x+y)-1
A relation is said to be an implicit solution of a differential equation involving x,y and derivatives of y with respect to x if defined explicit solution. In other words the function which cannot be written as y=f(x).
Function is a relationship between two or more variables which have one value for each value of x.
We have to first differentiate the function with respect to x.
[tex]x^{2} -sin(x+y)=1[/tex]
2x-cos(x+y)(1+dy/dx)=0
2x-cos(x+y)+cos(x+y)dy/dx=0
cos(x+y) dy/dx=cos(x+y)-2x
dy/dx={cos(x+y)-2x}/cos(x+y)
dy/dx=cos(x+y)/cos(x+y)-2x/cos(x+y)
dy/dx=1-2x cos(x+y)
The given solution is incorrect.
when we solve the function to collect the variable y in one side we cannot be able to do that.
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Fred is playing tennis. For every 2 of his serves that land in, 4 serves land out. If he hit 22 serves in, how many serves landed out?
Answer: 44
Step-by-step explanation:
1:2 is the ratio that serves lands in and serves land out
22:44
What is the area of this trapezoid? Enter your answer in the box.
Answer:
357 cm2
Step-by-step explanation:
The formula to find the area of a trapezoid is (b1 + b2)*h/2. When you plug in all numbers, you get 357 cm2. Hope this helps!
What is the whole number consisting of x in the hundreds place, y in the
tens place, and 2 in the ones place?
The whole number consisting of x in the hundreds place, y in the tens place, and 2 in the ones place is; xy2.
What is the whole number described in the task content?It follows from the task content that the whole number described has x in the hundreds place, y in the tens place, and 2 in the ones place.
The whole number in discuss can be broken down simply as: (x×100) + (y×10) +(2×1).
Hence, the whole number is; xy2.
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A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1.5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
Answer:
(4,1), (4,2) pairs can be removed to make relation a function.
Step-by-step explanation:
Function states the relationship of ordered pairs where set A must have unique elements.
a number is chosen ar random from 1 to 25. find the probaility of selecting an even number or multiple of 3
Answer:
16/25 or 64%
Step-by-step explanation:
There are 12 even numbers between 1 and 25: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and 24
There are 8 multiples of 3 between 1 and 25: 3, 6, 9, 12, 15, 18, 21, and 24
That makes your odds 20/25. But, you can't count numbers twice! So eliminate the repeats and you get:
2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, and 24
which is 16/25 numbers that satisfy being an even number, a multiple of 3, or both
hope this helped :)
2/3 ÷ -2/5 pls answer the question
Answer:
[tex]-1\frac{2}{3}[/tex]
Step-by-step explanation:
2/3 ÷ -2/5.
Flip -2/5 to -5/2 so that it can be multiplied.
2/3 × -5/2 = -10/6.
Reduce.
-10/6 reduced is -5/3.
Extract the whole number from this fraction to make it a mixed number.
-5/3 is equal to -1 2/3
Hope this helps!
We can do the inverse, where division basically becomes multiplication. You just flip the denominator and numerator (lower and upper part of the division sign).
[tex]\frac{2}{3} *-\frac{5}{2}[/tex]
The negative stays even when you inverse it. Make sure on future problems you inverse whats being divided, which in this case was -2/5.
We can now multiply across and get:
[tex]- \frac{10}{6}[/tex] as 2•5=10, 3•-2=-6. Therefore -10/6.
Which can be simplified into [tex]-1 \frac{2}{3}[/tex]. This is because 10 goes into 6 once leaving 4. That makes it -1 4/6, but 4/6 can be reduced by a common factor, 2. So just divide 4 and 6 by 2, which is 2/3. So thats why it is -1 2/3.
Brainliest would really help me out, if you have any questions message me
Triangles T S R and Q R S overlap at point P. Angle S T R is 66 degrees and angle S Q R is 66 degrees. The lengths of T S and Q R are both 5 inches.
Can ΔTSR and ΔQRS be proven congruent by SAS?
yes, because along with the given information on the diagram, SR ≅ RS by the reflexive property
yes, because a reflection will map ΔTSR onto ΔQRS
yes, because P appears to be the midpoint of SQ and TR
no, because not enough is information given to prove the triangles congruent by SAS
No, ΔTSR and ΔQRS cannot be proven congruent by SAS because not enough is information given to prove the triangles congruent by SAS.
What is Congruency?Two figures or objects are congruent if they have the same shape and size.
To prove using SAS congruency we should have at least two congruent side and one congruent angle.
But we don't have the sufficient information.
Hence, ΔTSR and ΔQRS cannot be proven congruent by SAS.
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Answer:
d
Step-by-step explanation:
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h. A. h(8) = 21 B. h(-3) = -1 C. h(13) = 18 D. h(2) = 16
A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2.
1.) h(8) = 21
Since the value of h(8) is 19. This can not be the correct option.
2.) h(-3) = -1
Since the range is from 1 to 25. Therefore, this is not the correct option.
3.) h(13) = 18
Since the domain is from -3 to 11. Therefore, this is not the correct option.
4.) h(2) = 16
This is the only option that is feasible. Thus, this is the correct option.
Hence, the correct option is D.
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75. Real-World Applications
A cell phone company offers two plans for minutes. Plan A: $20 per month and $1 for every one hundred texts. Plan B: $50 per month with free unlimited texts. How many texts would you need to send per month for plan B to save you money?
Answer:
t =amount of texts
a. 0.01t+20=y
b. 50=y
so that means that they equal each other
0.01t+20=50
-20
0.01t=30
t=3001
Hope This Helps!!!
Answer:
For plan B to save money cell phone user need to send 3000 texts per month as [tex]\frac{x}{y}[/tex] expresses the average texts sent per month by cell phone user and its obtained value is 3000.
Step-by-step explanation:
In the question it is given that a cell phone company offers two plans for minutes.
Plan A: $20 per month and $1 for every one hundred texts.
Plan B: $50 per month with free unlimited texts.
It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.
Step 1 of 5
In Plan A $20 per month and $1 for every one hundred texts are costed so the cost of Plan A is given by following equation,
[tex]$A=20 y+\frac{x}{100}$[/tex]
In Plan B $50 per month with free unlimited texts are costed so the cost of Plan B is given by following equation,
[tex]$$B=50 y$$[/tex]
Step 2 of 5
Now comparing the obtained equations [tex]$A=20 y+\frac{x}{100}$[/tex]
and B=50y.
[tex]$20 y+\frac{x}{100}=50 y$$[/tex]
Step 3 of 5
Subtract 20y from both the sides of the obtained equation [tex]$20 y+\frac{x}{100}=50 y$[/tex] and simplify using subtraction properties.
[tex]$$\begin{aligned}&20 y+\frac{x}{100}-20 y=50 y-20 y \\&\frac{x}{100}=30 y\end{aligned}$$[/tex]
Step 4 of 5
Multiply both the sides of the obtained equation [tex]$\frac{x}{100}=30 y$[/tex] by 100 and simplify using multiplication properties.
[tex]$$\begin{aligned}&\frac{x}{100} \cdot 100=30 y .100 \\&x=3000 y\end{aligned}$$[/tex]
Step 5 of 5
Divide both the sides of the obtained equation x=3000y by y and simplify using division properties.
[tex]$$\begin{aligned}&\frac{x}{y}=\frac{3000 y}{y} \\&\frac{x}{y}=3000\end{aligned}$$[/tex]
As [tex]$\frac{x}{y}$[/tex] expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 3000 texts per month.
Consider the diagram.
Triangles B A E and C A D are connected at point A. Angle B A E is a right angle. Sides B A and A C are congruent. Sides B E and C D are congruent.
The congruence theorem that can be used to prove △BAE ≅ △CAD is
SSS.
ASA.
SAS.
HL.
The congruence theorem that proves that △BAE ≅ △CAD is: HL.
What is the HL Congruence Theorem?The HL congruence theorem states that, if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a corresponding leg of another right triangle, then they are congruent triangles.
△BAE and △CAD have:
Congruent hypotenuses: BE ≅ CD.
Congruent legs: BA ≅ CA
Therefore, the congruence theorem that proves they are congruent is: HL.
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Answer: Option 4 or D. HL
Step-by-step explanation:
4 quick algebra 1 questions for 50 points!
Only answer if you know the answer, shout-out to subtomex0, tysm for the help!
[tex]c(g) = 7g + 52 \\ c(0) = 52[/tex]
Option CQuestion 2[tex]g(x) = x {}^{2} - 7x + 12 \\ g(x) = 0 \\ x = 3 \: \: \: \: \: \: \: \: x = 4[/tex]
Option DQuestion 1Option CLet's see
#1
y=2x²+3x-2y=2x²+4x-x-2y=(x+2)(2x-1)So
x intercepts
(-2,0) and (1/2,0)True
#2
y=7g+52y=7(0)=52y=52Option C
#3
x²-7x+12=0x²-4x-3x+12=0x(x-4)-3(x-4)=0(x-3)(x-4)=0x={3,4}Option D
#4
I solved it in your another question , Can't add that answer here due to copyright restrictions
How many two digit numbers have on add digit and one even digit?
Answer:
40 two-digit numbers have one odd digit and one even digit in them.
(3, -1) and (5, 4) arrowRight (2, 3) and (4, 5) arrowRight (-5, 7) and (8, 5) arrowRight (-2, 4) and (3, -1)
This question is incomplete. Below you can find the missing content.
Match each pair of points with the approximate distance between them. Round your answers to the nearest tenth. 7.07 units 5.1 units 2 units 2.83 units 5.39 units 13.15 units 12.5 units
(3, -1) and (5, 4)
(2, 3) and (4, 5)
(-5, 7) and (8, 5)
(-2, 4) and (3, -1)
The distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
The distance between two points can be calculated by the formula given below
Distance between two points (x1,y1), (x2,y2)= d= √(x2-x1)²+(y2-y1)²
where (x1,y1) and (y1,y2) are the coordinates of the points.
The distance between the points which is of coordinates (3, -1) and (5, 4)
d= √(5-3)²+(4-(-1))²= √4+25= √29= 5.39 units
The distance between the points which is of coordinates (2, 3) and (4, 5)
d= √(4-2)²+(5-3)²= √4+4= √8= 2.83 units
The distance between the points which is of coordinates (-5, 7) and (8, 5)
d= √(8-(-5))²+(5-7)²= √169+4= √173= 13.15 units
The distance between the points which is of coordinates (-2, 4) and (3, -1)
d= √(3-(-2))²+(-1-4)²= √25+25= √50= 7.07 units
Therefore the distance between (3, -1) and (5, 4) is 5.39 units, the distance between (2, 3) and (4, 5) is 2.83 units, the distance between (-5, 7) and (8, 5) is 13.15 units and the distance between (-2, 4) and (3, -1) is 7.07 units.
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2 quick algebra 1 questions for 50 points!
Only answer if you know the answer, Tysm!
Answer:
QUESTION 1: (-3,0), (1,1), (5, 2), (9,3)
QUESTION 2: Draw a mapping diagram (see question 3)
QUESTION 3: Yes, the image below is a function.
Step-by-step explanation:
For question 1, you can pair the domains (x-values) with any y-value. The y-values can repeat.
For question 3b, you must understand that domains cannot repeat, but ranges (y-values can). In 3b, every x-value has a unique y-value which means that it is a function. You can also determine is something is a function by seeing if its graph passes the vertical line test.
Yes
As per definition
Every domain of the function has an unique range
f(x)=yHere
f(-8)=1f(-2)=6f(0)=4f(7)=5Hence it's a function
WILL GIVE ALL POiNTS IF ANSWERED CORRECTLY SOON! LIKE 30 MINS PLS
Given w = −168i −160j, what are the magnitude and direction of −4w? Round the answers to the nearest whole number.
232; 224°
232; 44°
928; 224°
928; 44°
Answer:
Magnitude and Direction is 928 and 44
Step-by-step explanation:
For a Vector w = (x)i+(y)j
The Magnitude of w [tex]=\sqrt{x^{2} +y^{2} }[/tex]
and the Direction of w [tex]=tan^{-1}(\frac{y}{x} )[/tex]
So for our Question , w = - 168i - 160j
Then -4w = -4 (- 168i - 160j) = (-4*-168)i +(-4*-160)j = 672i + 640j
Then the Magnitude of -4w = [tex]\sqrt{672^{2} +640^{2} } =928[/tex]
and the Direction of -4w = [tex]tan^{-1}(\frac{640}{672} )=tan^{-1}(\frac{20}{21} )=44[/tex] ( to the nearest whole number)
Hope it Helps:)
perpendicular lines..
Answer:
-4
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1, so 1/4 x -4 = -1
Hence the slope for line B is -4
A rock outcrop was found to have 78.88% of its parent u-238 isotope remaining. approximate the age of the outcrop. the half-life of u-238 is 4.5 billion years old.
Answer:
Answer:1.5*10^9 years
Step-by-step explanation:
The half life of the substance is given i.e 4.5B years. You can change it into seconds by multiplying it with 365 and 86400.
The current no of particles is given 78.88% which will be equal to 78.88 if you assume the substance had 100 no of particle initially.
Determine the decay constant by dividing 0.69 by half life
use these values in the equation for the answer.
[ln and e are inverse functions to eachother]
Ms. wilkinson's fifth-grade class is running a canned food drive. the students filled two boxes of food. there are thirty 300-gram cans of soup in one box. there are eighteen 400-gram cans of vegetables in the other box. how many kilograms of food did the students collect in all?
Answer:
16.2 kilograms
Step-by-step explanation:
30 300-gram cans = 9000 grams of soup
18 400-gram cans = 7200 grams of vegetables
9000 + 7200 = 16200 grams
1000 grams = 1 kilogram
16200 / 1000 = 16.2 kilograms
The total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
What is algebra ?
Algebra is a branch of mathematics that deals with various symbols and the arithmetic operations such as division , multiplication , etc.
The number of cans of soup in one box = 30 cans
And each can has 300 grams of soup.
So , the total amount of soup in one box is :
= 30 × 300
= 9000 grams of soup
Now , in the other box there are 18 cans of vegetables and each can has 400 grams of vegetable.
So , the total amount of vegetable in the other box is :
= 18 × 400
= 7200 grams
Total food students collect is :
= 9000 grams soup + 7200 grams vegetables
= 16200 grams food
We know that :
1000 grams = 1 kilogram
So , converting grams into kilograms we get :
16200 / 1000 = 16.2 kilograms food
Therefore , the total amount of food students collect in kilograms will be equal to 16.2 kilograms food.
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compute 1 + 2 + 3 +....+ 99 + 100 + 99 + 98 +...+ 3 + 2 + 1
Answer:
10000
Step-by-step explanation:
When computing a consecutive sum of integers with a difference of 1.
Use gauss's formula of (n/2)(first number + last number).
with n being the # of integers.
Since it is ascending and descending, it can be broken down into 2 sequences:
1 + 2 + 3 + ... + 99 and 1 + 2 + 3 + ... + 100.
Once each is calculated, add them up to find the value.
So:
1 + 2 + 3 + ... + 99 = (99/2)(100) = 4950.
1 + 2 + 3 + ... + 100 = (100/2)(101) = 5050.
4950 + 5050 = 10000
7. Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = m x, with m > 1.
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
How to determine the transformation?The functions are given as:
f(x) = x
g(x) = mx
Substitute f(x) = x in g(x) = mx
g(x) = mf(x)
From the question, we understand that:
m > 1
This means that;
The transformation from f(x) to g(x) is a vertical stretch by a factor of m
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comeplete the following :
Rx0 Do2 : (2,4) -> (-4, 8) (4, -8) (-4, -8)
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
What is a transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
Translation is the movement of a point either up, down, left or right on the coordinate plane.
Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)
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On average, a dog runs 5.5 times faster than a child. Which equation can be used to find s, the speed of a dog, given r, the speed of the child ?
Answer:
s = 5.5r
Step-by-step explanation:
Since a dog can run 5.5 times faster than a child that means that the dog's speed (s) should be equal to 5.5 times the speed of the child (r).
Therefore,
speed of dog (s) = 5.5 × speed of child (r)
Show work how you know it’s a function or not a function for each problem. PLEASE SOMEONE HELP ME OUT
Answer: Function, not a function, Function, not a function
Step-by-step explanation:
For it to be a function, each value of x has to map onto one value of y.
This is a function.Not a function since x=-1 has more than one y value.This is a functionNot a function since x=-6 has more than one y value.A quadrilateral is shown. One pair of opposite sides have lengths of 10 inches and (x + 2) inches. The other pair of opposite sides have lengths (x + 5) inches and (2 x minus 3) inches. Based on the measures shown, could the figure be a parallelogram? Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 13 in. Yes, one pair of opposite sides could measure 10 in., and the other pair could measure 8 in. No, there are three different values for x when each expression is set equal to 10. No, the value of x that makes one pair of sides congruent does not make the other pair of sides congruent.
Answer:
1st option
Step-by-step explanation:
since one pair of opposite sides 10 in , then
x + 2 = 10 ( subtract 2 from both sides )
x = 8
Then
x + 5 = 8 + 5 = 13 in
2x - 5 = 2(8) - 5 = 16 - 5 = 13 in
The opposite sides of a parallelogram are parallel and congruent.
So the quadrilateral could be a parallelogram
Answer: A) Yes, one pair of opposite sides could measure
10 in., and the other pair could measure 13 in.
Step-by-step explanation:
just did it on edu 2023
Constructing Parallel Lines
Use the slope of the given line to construct a parallel line
through point P. Click or tap the graph to plot another point on
the parallel line.
Try it
Correct!
-2
y
2
What is the slope of the original line?
What is the equation of the line that is parallel to the
given line and passes through the given point?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The slope of the lines is -1, and the equation of the parallel line is y-x-6.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The parallel line passes through the points (-4,-2) and (-3,-3). Therefore, the slope of the line is,
Slope = (-2 + 3) / (-4 + 3) = 1/-1 = -1
The equation of the parallel line that is passing through point P is,
y = mx + c
y = -x + c
-3 = -(-3) + c
-3 -3 = c
c = -6
Hence, the slope of the lines is -1, and the equation of the parallel line is y-x-6.
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Answer:
-1
y + 3 = -1 (x+3)
b,b `
Step-by-step explanation:
Write the domain and range of h using interval notation.
Which answer describes the type of sequence?
3, 4, 7, 11,
•
geometric
• arithmetic
• neither arithmetic nor geometric
Answer:
Arithmetic
Step-by-step explanation:
The type of sequence shown is using the number before it to add to the next one.
ex;
2, 4, 6, 8, 10,...
(2 +2, 3 + 3, 4 + 4, 5 + 5) and etc...
1 2 3 4 5 6 7 8 9 10 The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid?
Using it's concept, the expression that can be used to find the probability that a randomly selected point is in the white area of the grid is:
[tex]\frac{7}{16}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, 7 out of 16 squares are in the white area, hence the probability is given by:
[tex]p = \frac{7}{16}[/tex].
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I need help with things ill give u points
Answer:
012
Step-by-step explanation:
please mark brainliest if correct
on a piece of paper graph y>-x+2 then determine which answer choice matches the graph you drew
The answer that matches the information in the graph is zero x = -2.
How to illustrate the graph?The zeros of a function are the point on which graph intersects the x axis or we can say the value of x when y = 0.
Substitute y = 0 in the provided equation.
0 = x + 2
x = -2
The coordinate is (-2,0). Also the zero of the graph is at x = -2 because it follows the definition of zeros.
Now substitute x = 0 in the provided equation.
y = 0 + 2
y = 2
The coordinate is (0,2).
Hence, the answer that matches the information is zero x = -2.
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