Please help, this chapter was on derivatives...
(3) Differentiating both sides of
[tex]2x^{3/2} + y^{3/2} = 29[/tex]
with respect to x gives
[tex]3x^{1/2} + \dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]
Solve for dy/dx :
[tex]\dfrac32 y^{1/2} \dfrac{\mathrm dy}{\mathrm dx} = -3x^{1/2} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{-3x^{1/2}}{\frac32y^{1/2}} = \dfrac{-2x^{1/2}}{y^{1/2}} = -2\sqrt{\dfrac xy}[/tex]
Then the slope of the tangent line to the curve at (1, 9) is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = -2\sqrt{\dfrac19} = -\dfrac23[/tex]
The equation of the tangent line would then be
y - 9 = -2/3 (x - 1) ==> y = -2/3 x + 29/3
(4) The slope of the tangent line to
[tex]y=\dfrac{ax+1}{x-2}[/tex]
at a point (x, y) on the curve is
[tex]\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{a(x-2)-(ax+1)}{(x-2)^2} = -\dfrac{2a+1}{(x-2)^2}[/tex]
When x = -1, we have a slope of 2/3, so
-(2a + 1)/(-1 - 2)² = 2/3
Solve for a :
-(2a + 1)/9 = 2/3
2a + 1 = -18/3 = -6
2a = -7
a = -7/2
if 3(2x-4)=-36 ,the value of x is
Answer:
x = -4
Step-by-step explanation:
Answer:-4
Step-by-step explanation:
To visit his grandmother, Michael takes a motorcycle 3.85 kilometers and a horse 3.32 kilometers. In total, the
journey takes 50.54 minutes.
How many kilometers is Michael's journey in total?
Answer:
7.17
Step-by-step explanation:
sorry for the first answer
7.17 kilometres is Michael's journey in total.
Given that, the number of kilometres Michael travelled on motorcycle =3.85 kilometres and on a horse 3.32=kilometers.
How to find the total distance travelled?Total distance means the actual distance between the places from which the material is transported to the destination place.
The total distance travelled is the path taken by a body to get from an initial point to an endpoint in a given period of time.
Now, total distance travelled=3.85+3.32=7.17 kilometres.
Therefore, the distance travelled is 7.17 kilometres.
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How long would 8 thousand trillion trillion trillion trillion trillion trillion trillion trillion years be if typed out?
Answer:
100 digits
Step-by-step explanation:
One trillion is 10¹², so it adds 12 zeros.
8000 adds 4 digits.
8 trillions add 8·12 = 96 zeros.
So in total you have 96+4 = 100 digits
This number would also be called 8 googol, since 1 googol is 10¹⁰⁰
2 + 36 ÷ 12 - 6 = 8. where does the parenthesis go to make 8 the answer
Answer:
The parenthesis go around the 12 and 6, just like this. (12 - 6)
Answer- 2 + 36 ÷ (12-6)
For the following quadratic equation, find the discriminant.
5x^2– 10x – 255 = 0
please help meee
Answer:
5200
Step-by-step explanation:
STEP 1: The discriminant of a quadratic is the expression inside the radical of the quadratic formula.
[tex]b^2-4(ac)[/tex]
STEP 2: Substitute in the values of a, b, and c.
[tex](-10)^2-4(5)(-255)[/tex]
STEP 3: Evaluate the result to find the discriminant.
[tex]5200[/tex]
IF YOU ANSWER THIS YOU WILL HAVE BRAINLIEST AND FRIEND REQUEST
Answer:
Uhm answer what? there is no picture nor question.
Step-by-step explanation:
theres nothing there
Step-by-step explanation:
do u play among us
pls help 19 points !!
Answer:
(3,-2), (-3,-7), 2nd one is x2,y2
Step-by-step explanation:
Can someone help me??
Answer:
24 i think if im wrong im sorry :(
Step-by-step explanation:
Three friends each have some ribbon. Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
Answer: 306 inches or 25.5 feet or 8.5 yards.
Step-by-step explanation:
Given: Carol has 90 inches of ribbon, Tino has 7.5 feet of ribbon, and Baxter has 3.5 yards of ribbon.
1 feet = 12 inches
length of ribbon Tino has = 12 x 7.5 = 90 inches
1 yard = 36 inches
length of ribbon Baxter has = 3.5 x 36 = 126 inches
Total ribbon they have = (length of ribbon Carol has) + (length of ribbon Tino has) + (length of ribbon Baxter has)
= (90+90+126) inches
= 306 inches
In feet , Total ribbon = [tex]\dfrac{306}{12}\text{ feet}[/tex] [tex][\text{ 1 inch}=\dfrac{1}{12}\text{ feet}][/tex]
[tex]=\text{25.5 feet}[/tex]
In yards, Total ribbon =[tex]\dfrac{25.5}{3}\text{ yards}[/tex] [tex][\text{1 feet}=\dfrac{1}{3}\text{ yard}][/tex]
[tex]=\text{ 8.5 yards}[/tex]
Hence, the total length of ribbon the three friends have is 306 inches or 25.5 feet or 8.5 yards.
What is 2052 divided by 76
Answer:
27
Step-by-step explanation:
Answer:
Yes, by 27 times
Step-by-step explanation:
I hope it helps you
Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5....
I think the answer is 1.5 but can someone tell me how I came up with this answer. He has to write it down.
Answer:
the answer is 1.5 of course because converting them into their fractional form indeed informs u that 1.5 is the solely answer
help me asap please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D. should be the answer
Ha, Asa and Aas are correct because there is only one known side, and two known angles, making these postulates correct.
44% x 205???????????????????????????????
Answer: 90.2
Step-by-step explanation:
Please help me with this
Answer is C, 138°
It's the answer that makes the most sense.
An auto mechanic earns $498.75 in 35 hours during the week. His pay is 2.50 more per hour on the weekends. If he works 6 hours on the weekend in addition to 35 hours during the week,hiw much does he earn
Answer:
Total pay= $599.25
Step-by-step explanation:
First, we need to calculate the unitary pay per hour:
Unitary pay= 498.75/35
Unitary pay= $14.25
Now, we can determine the total earn of 35 regular hours and 6 weekend hours:
Total pay= 498.75 + (14.25 + 2.5)*6
Total pay= 498.75 + 100.5
Total pay= $599.25
I Need Helpp PLZZ i will mark as brainliest
Answer:
9x+18Reasoning:
You multiply x by 9 and 2 by 9 and it expands out from 9(x+2) to 9x+18
I hope this helps and good luck!
Answer:
9x + 18
Step-by-step explanation:
9 times x = 9x
9 x 2 = 18
simplify the following boolean expression (A+B) (A+B)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](A + B)(A + B) = [/tex]
[tex] {A}^{2} + 2AB + {B}^{2} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Tall Mountain is 8,678.37 feet higher than Mt. Might. What is the elevation of Tall Mountain?
The elevation of Tall Mountain is
feet.
Answer:
i wont give u a direct answer but i will tell u this.. Look up Mt. Mights height and subtract 8,678.37 with a cauculator. The answer will tell you
Answer: 28,979.87
Step by step explanation: I GOT THE ANSWER CORRECT!!!!!! For any one wondering I am doing this question right no and what the other guy said about subtracting is wrong because i tried doing tat and it said it was wrong.
1 point
6. Precipitation for the month of March was 4 inches less than average. In
April the precipitation was 14 inches less than average. How many inches
below average was the precipitation for both March and April?
Answer:
4 inches because March was 4 so april has to be 4 too
Step-by-step explanation:
Kim received a discount of $8.60 when she purchased an item for $20. What was the percent of the discount?
The entrance for the amusement park is $40, visitors purchase additional $2
tickets for rides, games and food. How many tickets can you buy if you
brought $100 to spend at the park?
Answer:
2 tickets because round
Step-by-step explanation:
make an equation: 100=40x+2 and solve
2.45 tickets so only two
40+40 =80
100-80=20
but 100-2=98 so there is only 18$ left so not enough for another ticket
Answer:
30 Tickets
Step-by-step explanation:
In the question, it said that $40 is the entrance fee. Then, it said that visitors purchase additional tickets for rides, games, and food. This means that EACH ticket is 2 dollars.
Hence, $40 (entrance fee) + $2 (each ticket price) x (the number of tickets spent) = 100 (total amount of money).
So, the equation should be 40 + 2x = 100, which means x = 30.
100 - 40 = 60
60/2 = 30
30 tickets can be purchased
There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?
Answer:
7.75
Step-by-step explanation:
The total number of ways could the guests be arranged on a four person couch is 31465.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that there are 31 guests at your home for a dinner party.
The total number of ways could the guests be arranged on a four person couch is -
C{31, 4} = 31!/{(31 - 4)!4!}
C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465
C{31, 4} = 31465
Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.
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Which rate is the lowest price?
$3.00/6 lb
$2.50/5 lb
$2.40/4 lb
$2.40/6 lb
which of the following are properties of all rectangles? Select all that apply.
Answer:
see explanation
Step-by-step explanation:
The rectangle has the following properties
• Opposite sides are parallel and congruent
• All angles are right angles
• The diagonals are congruent
• The diagonals bisect each other
Thus
They are quadrilaterals
Opposite sides are equal in length
All angles are 90°
Opposite sides are parallel
Rectangles are not parallelograms ( the angles of a parallelogram are not necessarily right and diagonals are not congruent )
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60. Which option has the lesser price?
Answer:
The 8-pack is better value
Step-by-step explanation:
$7.50/6 = $1.25 per ball
$9.60/8 = $1.20 per ball
The 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
For:
At a toy store, Colton can buy a package of 6 mini footballs for $7.50
Each ball price
$7.50/6 = $1.25 per ball
Each ball price
$9.60/8 = $1.20 per ball
The 8-pack is a better value
Thus, the 8-pack is a better value if the toy store, Colton can buy a package of 6 mini footballs for $7.50, or a package of 8 mini footballs for $9.60.
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Given: BD is perpendicular to AC, measure DBA = 7x+6. Find x
Answer:
x = 12
Step-by-step explanation:
[tex] \because BD \perp AC... (given) \\\\
\therefore m\angle DBA =90\degree... (1)\\\\
\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]
From equations (1) & (2)
[tex](7x + 6)\degree= 90\degree \\\\
7x + 6 =90\\\\
7x = 90 - 6\\\\
7x = 84\\\\
x = \frac{84}{7}\\\\
\huge \orange {\boxed {x = 12}} [/tex]
PLEASE HELP WILL GIVE BRAINLIST
Answer:
greater than or equal to
Step-by-step explanation:
This is for the roller coaster design packet, I need the graph, I’ll give Brainliest and give a handsome amount of 100 points
Answer:
i am going to work it out
Step-by-step explanation:
i am to ask my mom for help and tell you the answer
Point E is located at (-5,2). Point M is the reflection of point E across the y-axis. What is the distance between E and M?
Answer:
The distance is Ten