Compute [tex]\frac{\mathrm dy}{\mathrm dx}[/tex] using implicit differentiation:
[tex]x^2-(xy)^{1/2}=2y^2+3x[/tex]
[tex]\dfrac{\mathrm d(x^2)}{\mathrm dx}-\dfrac{\mathrm d(xy)^{1/2}}{\mathrm dx}=\dfrac{\mathrm d(2y^2)}{\mathrm dx}+\dfrac{\mathrm d(3x)}{\mathrm dx}[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(\dfrac{\mathrm dx}{\mathrm dx}y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac1{2(xy)^{1/2}}\left(y+x\dfrac{\mathrm dy}{\mathrm dx}\right)=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-\dfrac12\left(\dfrac yx\right)^{1/2}-\dfrac12\left(\dfrac xy\right)^{1/2}\dfrac{\mathrm dy}{\mathrm dx}=4y\dfrac{\mathrm dy}{\mathrm dx}+3[/tex]
[tex]2x-3-\dfrac12\left(\dfrac yx\right)^{1/2}=\left(4y+\dfrac12\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]4x-6-\left(\dfrac yx\right)^{1/2}=\left(8y+\left(\dfrac xy\right)^{1/2}\right)\right)\dfrac{\mathrm dy}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x-6-\left(\frac yx\right)^{1/2}}{8y+\left(\frac xy\right)^{1/2}}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x(xy)^{1/2}-6(xy)^{1/2}-y}{8y(xy)^{1/2}+x}[/tex]
Plug in x = 4 and y = 1 to find that the tangent line's slope is 19/20.
It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?
Answer:
0.04 dollars per text
Step-by-step explanation:
5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer
answer is 0.04 in text
PLEASE HELP FAST...The dot plots show the numbers of children’s books purchased by customers at two different bookstores on one day which statement is supported by the information in the dot plots
Answer:
The mode of the data for Store 2 is greater than the mode of the data for Store 1.
Step-by-step explanation:
The mode of store 2 greater than mode of store 1.
What is box- plot?A box plot, commonly referred to as a box and whisker plot, is a form of chart that is frequently used in explanatory data analysis in descriptive statistics. Box plots use the data's quartiles (or percentiles) and averages to visually depict the distribution of numerical data and skewness.
Given:
Dot plots show the numbers of children’s books purchased by customers at two different bookstores.
Now, from the given figure
The mode of store 1 is 3
and, mode of store 2 is 4.
Hence, the mode of store 2 greater than mode of store 1.
Learn more about box- plot here:
https://brainly.com/question/1523909
#SPJ6
what is the answer to
5 1/6 times ( -2/5)
Answer:-31/15
Step-by-step explanation: step 1: make both fractions improper
step 2: multiply numerator and denominator 31/6 x -2/5= -62/30
step 3: simplify -31/15
Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.
Answer:
Duration = 6 hours
Step-by-step explanation:
Given
[tex]Regina: 6.50h + 16[/tex]
[tex]Phil: 3(2.5h + 5)[/tex]
[tex]Joseph: 7.50h + 10[/tex]
Required
When will Ragina and Joseph earn equal amounts
To solve this:
[tex]Regina = Joseph[/tex] must be true
This gives:
[tex]6.50h + 16 = 7.50h + 10[/tex]
Collect Like Terms
[tex]7.50h - 6.50h = 16 - 10[/tex]
[tex]h = 6[/tex]
Hence, number of hours is 6
A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth 50$. How many of each type of bill does he have?
Answer:
3.5$
Step-by-step explanation:
Nine 5's and five 1's. Nine five-dollar bills hit $45 dollars, and the remaining $5 can only be paid in 1's to reach 14 bills.
What is the area of a section of pavement that is 20 ft wide and 50 yd long?
Answer:
3000 feet or 1000 yards because there are 3 feet in a yard, and make sure there is a squared sign at the end of ft or yards( ft^2) (yd^2)
Step-by-step explanation:
what is the value of x in the proportion
Answer:
5 2/5
Step-by-step explanation:
Multiply by (3 3/5)x/(1 1/2):
x = (2 1/4)(3 3/5)/(1 1/2) = (9/4)(18/5)(2/3) =27/5
x = 5 2/5
AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X
Answer:
x = 6
Step-by-step explanation:
Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.
Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC
AC = 18cm
CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,
4x - 6 = 18 (two sides of an isosceles ∆ are congruent)
Add 6 to each side of the equation.
4x - 6 + 6 = 18 + 6
4x = 24
Divide both sides by 4
4x = 24/4
x = 6
Rhonda had $300 to buy supplies for the animal shelter. She bought 8 bags of dog food and 11 leashes. Each bag of food cost $25.19, and each leash cost $4.65. How much money did Rhonda have left after her purchases? $11.65 $14.29 $22.91 $47.33
Hey there! I'm happy to help!
We have 8 bags of dog food and each costs $25.19
8(25.19)=201.52
And we have 11 leashes each costing $4.65.
11(4.65)=51.15
We add these totals up.
201.52+51.15=252.67
We subtract this from 300 to see how much is left.
300-252.67=47.33
Rhonda had $47.33 left after her purchases.
Have a wonderful day! :D
Answer:
$47.33
Step-by-step explanation:
she bought 8 bags of dog food so: 8 x 25.19 = 201.52
she bought 11 leashes so: 4.65 x 11 = 51.15
201.52 + 51.15 = 252.67
300 - 252.67 = 47.33
Suppose that the overall probability of living to age 70 is 0.62 and that the overall probability of living to age 80 is 0.23. If a person reaches their 70th birthday, what is the probability that they will live to age 80?
Given :
P( X = 70 ) = 0.62 .
P( X = 80 ) = 0.23 .
To Find :
We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .
Solution :
We need to find :
[tex]P(X=70 | X=80 )[/tex]
We know ,
[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]
So ,
[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]
Hence , this is the required solution .
i’m stuck on this question please help me
Answer:
im pretty sure its the 2nd or 3rd one
how do you convert a fraction to decimal
537²×15.90²=74²
I know this looks like pythagorean theorem. But how do they teach this to high schooler?
Answer:
It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".
Step-by-step explanation:
Below is the first step to attempt solving the equation.
The little twos at the top of each number are called exponents. This means a number times itself.
So,
537*537=288,369
15.9*15.9=252.81
74*74=5476
Now, take the 288,369*252.81 to get a total of 72,902,566.89 .
Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.
Here's how you'd work it out on paper to show it isn't solvable.
(537*537)*(15.9*15.9)= (74*74)
(288,369)*(252.81)= 5476
72,902,566.89 ≠5476
So the answer would be:
Not solvable.
Find the indicated side of the
right triangle.
X=
Answer:
tan 30 = p/b
1/√3= 3/x
x= 3√3
please give brainliest as i am 3 short to expert
Step-by-step explanation:
I really need helpp
Answer:
C
Step-by-step explanation:
Answer: B. Sandwich Town's Dipping Sauce
Step-by-step explanation: Sandwich town has 1/2 more spoonful than Burger Barn so Sandwich Town has a stronger mustard flavor.
Hope this helps! : )
a survey of 800 people who binge-watch were asked how many episodes is too many to watch in one viewing session. the results are displayed in the bar graph. explain how this graph is misleading
Answer:
The graph is misleading because the vertical scale is not even. It goes from 0 to 15 and then thereafter the scale reverts to a scale of 5.
This is misleading because had the graph gone in a scale of 5 from the get go, the number of people who thought 3-4 episodes were too much would have looked higher in the graph as they seem to comprise of about 5% of the sample population.
The scale should begin at 0 and then go like 5 ⇒ 10 ⇒ 15 ⇒ 20 ⇒ 25 ⇒ 30
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
Solve
-6y + 4 = |4y + 12|
Answer:
[tex]y = - \frac{4}{5} [/tex]
The telephone company offers two billing plans for local calls. Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Step-by-step explanation:
Answer in image below press on it
Height for each toddler at Mrs.orlando daycare
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ?
Answer:
7.5 meters
Step-by-step explanation:
Stay safe!!! Stay 6 feet!!
Answer:
its 7.5
i got it right
In a sample fruit basket, there are 2 apples for every 3 oranges.
To make a large fruit basket with the same ratio using 20 apples, how many oranges are needed?
Help me please?!
Answer:
B 32
Step-by-step explanation:
30 oranges would be required to maintain the same ratio with 20 apples.
Solving linear equation.In the example fruit basket, there are 2 apples for every 3 oranges, based on the provided ratio.
We must establish a proportion in order to determine how many oranges are required to keep the same ratio with 20 apples.
Let "x" stand for the required quantity of oranges.
The ratio can be configured as follows:
20 apples/x oranges = 2 apples/3 oranges.
Cross-multiplication allows us to find the value of "x":
3(20) = 2x
2x = 60
x = 30
As a result, 30 oranges would be required to maintain the same ratio with 20 apples.
Learn more on linear expression here: https://brainly.com/question/2030026
#SPJ2
10. The weight of an object on a particular scale is 125.2 lbs. The measured weight
may vary from the actual weight by at most 0.4 lbs. What is the range of actual
weights of the object?
A. 124 8 2 x 2 125.6
B. 124.8 2 x 125.6
C. 124 8 5 x 125.6
D. XS 124.8 or x 21256
Given :
The weight of an object on a particular scale is 125.2 lbs.
The actual weight by at most 0.4 lbs.
To Find :
The range of actual weights of the object.
Solution :
It is given that uncertainty in weight is 0.4 lbs.
So, minimum weight can be( 125.2 -0.4 ) = 124.8 lbs.
Maximum weight is given by ( 125.2 + 0.4 ) = 125.6 lbs.
Therefore, the range of actual weights of the object is between :
124.8 x 125.6 .
Hence, this is the required solution.
What information can be used to compare linear relationships. Explain why
Step-by-step explanation:
y=mx+b m being the highest point x being the lowest
Answer:
Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
This is the sample response.
A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?
50
Step-by-step explanation:
You set this up with a ratio, 1:20 or 1 equals 20 miles. So i'm multiplying by 20 regardless. Now I have 2 and a half inches or you can say 2.5. Multiply 2.5 (on paper..) and 20 and there you go. 20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.
what is the slope of the line ?
100 points HELP / what is the slope of the line in the graph
A Negative four-thirds
B Negative three-fourths
C Three-fourths
D Four-thirds
Answer:
It is B
Step-by-step explanation:
(8x/2)^3 whats the answer??????
Answer:
(8x)^(2/3
Step-by-step explanation:
Solve the following proportion for u.
u/4 = 3/17
Round your answer to the nearest tenth
Answer:
345897
Step-by-step explanation:
423786945
help me please. 15 POINTS BRAINLEST ANSWER EVER (y+4)–(y–1)=6y
Answer:
5/6
Step-by-step explanation:
y+4-y+1=6y
5=6y
y=5/6
Solution for (y+4)-(y-1)=6y equation:
Simplifying
(y + 4) + -1(y + -1) = 6y
Reorder the terms:
(4 + y) + -1(y + -1) = 6y
Remove parenthesis around (4 + y)
4 + y + -1(y + -1) = 6y
Reorder the terms:
4 + y + -1(-1 + y) = 6y
4 + y + (-1 * -1 + y * -1) = 6y
4 + y + (1 + -1y) = 6y
Reorder the terms:
4 + 1 + y + -1y = 6y
Combine like terms: 4 + 1 = 5
5 + y + -1y = 6y
Combine like terms: y + -1y = 0
5 + 0 = 6y
5 = 6y
Solving5 = 6y
Solving for variable 'y'.Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
5 + -6y = 6y + -6y
Combine like terms: 6y + -6y = 0
5 + -6y = 0
Add '-5' to each side of the equation.
5 + -5 + -6y = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5
Combine like terms: 0 + -5 = -5
-6y = -5
Divide each side by '-6'.
y = 0.8333333333
Simplifying
y = 0.8333333333