Do I have this correct or did I read the instructions wrong? This is due tomorrow and I’m still on slide 1. Pls help!

(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

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

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.

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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Answer:

greater than or equal to

Step-by-step explanation:

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]

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

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.

Answer: 90.2

Step-by-step explanation:

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.

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.

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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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

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

Answer:

7.75

Step-by-step explanation:

The total number of ways could the guests be arranged on a four person couch is 31465.

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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Answer:

The distance is Ten

Answer:

24 i think if im wrong im sorry :(

Step-by-step explanation:

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

Answer:

(3,-2), (-3,-7), 2nd one is x2,y2

Step-by-step explanation:

Answer:

Reasoning:

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

Answer:

The parenthesis go around the 12 and 6, just like this. (12 - 6)

Answer- 2 + 36 ÷ (12-6)

Answer:

x = -4

Step-by-step explanation:

Answer:-4

Step-by-step explanation:

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]

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

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[tex](A + B)(A + B) = [/tex]

[tex] {A}^{2} + 2AB + {B}^{2} [/tex]

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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.

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 )

Answer:

4 inches because March was 4 so april has to be 4 too

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

Yes, by 27 times

Step-by-step explanation:

I hope it helps you

Answer is C, 138°

It's the answer that makes the most sense.