Converted 108° to radians, give your answer in terms of

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:

480 * 0.04 = 19.2

$19.20

Answer:

x=-11

y=-1

Step-by-step explanation:

x=4y-7

2x+9y=-31

2(4y-7)+9y=-31

8y-14+9y=-31

17=-31+14

17y=-17

y=-1

x=4(-1)-7

x=-11

Answer:

x = -11, y = -1

Step-by-step explanation:

solving simultaneously,

2(4y-7) + 9y = -31

17y = 14 - 31

17y = -17

y = -1

back sub, we get:

x = 4(-1)-7

x = -11

so x = -11, y = -1

Answer:

Step-by-step explanation:

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: -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:

Step-by-step explanation:

Hope it helps,view the image:

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:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

90 boxes = 100%

72 boxes = ?

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

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

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°

Step-by-step explanation:

10/1(-4)

10(-4)

=-2.5 or 5/-2

Answer:

3.5

Step-by-step explanation:

Hopes this helps

Answer:

Step-by-step explanation:

Well the answer is explained below.

Answer:7x

11x

Step-by-step explanation:

[tex]\sqrt{\dfrac{8x^5 y^2}{z^3}}\\\\\\=\dfrac{\sqrt{8x^5 y^2}}{\sqrt{z^3}}\\\\\\=\dfrac{\left( y\sqrt{8}\right) \sqrt{x^5}}{\sqrt{z^2 \cdot z}}\\\\\\=\dfrac{\left(y\sqrt{4\cdot 2} \right) \sqrt{x^2 \cdot x^2 \cdot x}}{z\sqrt z}\\\\\\=\dfrac{\left(2\sqrt 2 \right) y x^2\sqrt{x}}{z\sqrt z}\\[/tex]

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:

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]

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The coordinates and quadrant of Point Z is (9, 10) Quadrant I.

The X and Y axes divide the graph plane into four quadrants:

Given:

Coordinates:

C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and

Z(9, 10).

As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.

Hence, Z lies in Quadrant !.

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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: 32 + 1 and 5 x 2

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:

1 hour 45 mins

Step-by-step explanation:

56÷8=7

7x15=105mins

105mins=1hr 45mins

x × 20 = 80

x = ?

x = 80 ÷ 20

x = 4

x = 4 ✔️

[tex]\large \color{red}\boxed{\bf Answer:}[/tex]

x × 20 = 80

20x = 80

x = 80÷20

x = 4

Answer:

See below:

Step-by-step explanation:

So we know that an apple and 3 bannans are dollar 2.50

We also know that 2 apples and 5 bannanas are dollar 4.50.

Therefore, if we subtract 2 apples and 5 bannanas from 1 apple and 3 bannanas we will get a price.

Therefore, 1 apple and 2 bannanas are 2 dollars. (4.50 - 2.50 = 2)

Now, we can multiply by 3 to get it for 3 apples and 6 bannanas.

3*1 + 3*2 = 2*3

3a + 6b = 6 dollars.

The cost of 3 apples and 6 bananas is $7 and this can be determined by forming the linear equation in two variables.

Given :

Let the cost of one apple be 'x' and the cost of one banana be 'y'. Then the cost of an apple and 3 bananas is given by the equation:

x + 3y = 2.5 --- (1)

The cost of 2 apples and 5 bananas is given by the equation:

2x + 5y = 4.5  ---- (2)

Now, solve the equation (1) for 'x'.

x = 2.5 - 3y  --- (3)

Now, put the value of 'x' in equation (2).

2(2.5 - 3y) + 3y = 4.5

5 - 6y + 3y = 4.5

0.5 = 3y

[tex]y = \dfrac{1}{6}[/tex]

Now, put the value of 'y' in the equation (3).

[tex]\rm x = 2.5-3\times \dfrac{1}{6}[/tex]

x = 2

Now, the cost of 3 apples and 6 bananas will be:

[tex]3 \times 2 + 6 \times \dfrac{1}{6} = 7[/tex]

So, the cost of 3 apples and 6 bananas is $7.

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Step-by-step explanation:

"You're always right" means that you're a right angle (90°) and [tex]\sin{90°} = 1.[/tex]

Answer of the riddle is 1.

A right angle is an angle that is exactly equal to 90 degrees (or π/2) in measure.

The exact value of sine 90 degree.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

According to the given question

We have a riddle " You're always right, what is your sine?".

So, you're always right means you are always at 90 degrees.

What is your sine means, what is sin 90 degrees.

And we know that

[tex]sin90=1[/tex]  

Hence, the answer of the riddle is 1.

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Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Answer:

10^6.

Step-by-step explanation:

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

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.