Help I need to solve A. B. C and D.

By definition of the derivative,

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]

[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]

[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]

Answer:

In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.

Step-by-step explanation:

I hope this helps!

Answer:

10^6.

Step-by-step explanation:

There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.

this is soo funny

haha thanks for the points

Since in the two triangles,

2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.

Option A is the correct answer.

Answer: -103

Step-by-step explanation:

substitute in the value of B

12+23(-5)

multiply 23 and -5 together

12-115

solve

-103 is the answer

Answer:

-103

Step-by-step explanation:

Answer:

$657.09

Step-by-step explanation:

The area of the carpet is:

21 × 9 = 189 Square foot

189 foot² = 21 yard²

We know 1 yard² = $31.29

So 21 yard² = 21 × $31.29 = $657.09

Answer:

Germany

Austria-Hungary

Bulgaria

Ottoman Empire (the Central Powers)

Great Britain

France

Russia

Italy

Romania

Japan

United States (the Allied Powers).

Answer:

19j-9

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

10+9=19j

-7-2=9

Answer:

4s + 11t = 75

Step-by-step explanation:

Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.

s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).

t is the number of ties that are bought.

4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+

11t represents the total cost of the ties that are bought

Answer:

I think it is parallel

Step-by-step explanation:

Answer: 32 + 1 and 5 x 2

Answer:

v=(-4w)/(-w+2)

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Answer:7x

11x

Step-by-step explanation:

Answer:

the measure of the central angle of a regular nonagon is 40 degrees.

Answer:

30

Step-by-step explanation:

3x+6y=9

multiply by 2

6x+12y=18   ....(1)

-2x+-4y=4

multiply by 3

-6x-12y=12   ...(2)

add (1) and (2)

0+0=30

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

=> (72 * 100)/ 90 = 80%

Answer:

Hope this helps.

Step-by-step explanation:

When measuring for floor tile the rule is:

Length x Width + Waste = Amount Needed

Waste Factor will vary based upon tile size, layout, configuration of room, patterns, etc. Typical waste factor is about 10%. Add 15% for tile being installed diagonally or for a room with lots of jogs and corners. These installations will require more cuts and thus more waste.

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

Step-by-step explanation:

Well the answer is explained below.

Answer:

x > -11/10

Step-by-step explanation:

-2/6(4-x) < 4(x+1/2)

-1/3(4-x) < 4x + 2

-4/3 + 1/3x < 4x + 2

-4 +x < 12x + 6

x - 12 x < 6 + 4

-11x < 10

x > -11/10

Answer:

B is the correct answer. I just took the test :))

Step-by-step explanation:

Option B is correct, Divide R₂ by 2 and R₃  by 3 is the  next step in solving this augmented matrix using the Gauss-Jordan elimination method.

In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.

To achieve this, we perform row operations on the matrix.

In the given augmented matrix:

[tex]\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right][/tex]

We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.

After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:

[tex]\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right][/tex]

To learn more on Matrices click:

https://brainly.com/question/28180105

#SPJ2

Answer:

130

Step-by-step explanation:

(x - 129) * 129 = 129

x - 129 = 129/129

x - 129 = 1

x = 129 + 1

x = 130

Answer:

x could equal 130 but I'm not sure about this one

Step-by-step explanation:

you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though

Answer:

Measure of angle A = 120°

Measure of angle B = 98°

Measure of angle C = 104°

Measure of angle D = 140°

Step-by-step explanation:

Since the two straight lines are parallel

, then A + 12X =180° (alternate angles)

, then A = 180° - 12X

Since the two straight lines are parallel

, then measure angle A = measure angle (25X-5)°

(opposite angles)

, then 180° - 12X = 25X - 5° (solve it like a normal equation)

, then 180° + 5° = 25X + 12X

, then 185° = 37X

, then X = 185° ÷ 37

= 5

, then measure of angle A = 180° - ( 12 x 5 )

= 180° - 60°

, then measure angle A = 120°

Since the two straight lines are parallel

, then measure angle B = measure angle 14X (corresponding angles)

, then 15X - 7 = 14X

, then 15X - 14X = 7

, then X = 7

Since X =7

, then measure angle B = (15 x 7) - 7

= 105° - 7

, then measure angle B = 98°

Since the two straight lines are parallel

, then measure angle C = 8X

(opposite angles)

, then 5X + 39 = 8X

, 39 = 8X - 5X

, 39 = 3X

, then X = 39 ÷ 3

, X = 13

Since X = 13

, then measure angle C = (5 x 13) +39

= 65 + 39

, then measure angle C = 104°

Since straight that angle D lies on = 180°

, then sum of measure of and D and 4X =

180°

, then (12X + 20) + 4X = 180°

, then 16X + 20 = 180°

, then 16X = 160° (resulting from 180° - 20°)

, then X = 10

Since X = 10

, then 12 x 10 + 20 = 120 + 20

,the measure angle D = 140°

Answer:

Nancy gets more, she gets 252 while George gets 168.

Step-by-step explanation:

420÷5=84

168:252

George:Nancy

Answer:

Distance = 4

Step-by-step explanation:

Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.

In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).

Let  (x₁, y₁) = (0, 1)  

      (x₂, y₂) = (0, 5)  

Substitute these values into the distance formula:

[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]

[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]  

[tex]d = \sqrt{(4)^{2}}[/tex]

[tex]d = \sqrt{16}[/tex]

d = 4  

Therefore, the distance of line ℓ from point Q is 4.

Answer:

y=5x-11 is the equation of the required line

Answer:

6 servings

Step-by-step explanation:

Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]

[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]

= 2 *3

= 6