Use ΔDEF, shown below, to answer the question that follows:
What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Hi there!

The derivative of the function is the slope of the function at a specific x-value, or its instantaneous rate of change.

For example, take the equation y = x².

Using the power rule, we get:

y' = 2x

If we plug in any x-value into this equation, we can find the slope of the function at any point.

Ex:

x = 0; 2(0) = slope of 0

x = 2; 2(2) = slope of 4

Answer:

1. 6cm

2. 14cm

3. 12cm

4. 8cm

5. 9cm

6. 5cm

Step-by-step explanation:

Hope this helps

Answer:

the angle between the diagonal is 0.6155 RADIANS

Step-by-step explanation:

Given the data in the question

as illustrated in the image below;

O is [0,0,0]

B is [15,0,15]

E is [15,15,15]

Now to find angle BOE

vector OB = [15,0,15]

vector OE = [15,15,15]

OB.OE = [15,0,15].[15,15,15] = 15 × 15 + 15 × 15 = 450 = |OB||OE|cos[angleBOE]

|OB| = √(15² + 15²) = √(225 + 225) = √450

|OE| = √(15² + 15² + 15²) = √(225 + 225 + 225) = √675

so

Angle BOE = cos⁻¹ (  450 / ( √450 × √675 )

Angle BOE = cos⁻¹ ( 0.81649 )

Angle BOE = 35.265°

Angle BOE = 0.6155 RADIANS

Therefore, the angle between the diagonal is 0.6155 RADIANS  

Hi the answer should be 4

Answer:

the probability that the shipment is accepted is 0.8865

Step-by-step explanation:

Given the data in the question;

N = 86,  n/d = 5 and n = 2

now, without replacement

the probability that the shipment is accepted will be;

probability that the shipment is accepted = probability that non is defectives

so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))            

p( non is defective ) =  ( 81 / 86) × (80/85)

p( non is defective ) =  0.8865

Therefore, the probability that the shipment is accepted is 0.8865

Answer:

The cost of the roses are $53.10

Celebration! Hope this helps ^_^

Answer:

(10, 9) and (8, 1)

Step-by-step explanation:

you can just use substitution

Answer:

8.v = r 2 πh 3

Step-by-step explanation:

Answer:

2w = -3 + 5

W = 2

Step-by-step explanation:

Answer: angle 1 and 7

Step-by-step explanation: you just do it

Step-by-step explanation:

Option c shows line segment because it has no arrow marks

Answer:

the agv speed is 223

Step-by-step explanation:

Answer:

51.42 avg mph

Step-by-step explanation:

45+45 = 90 miles total for 1 3/4 hours

90/.75 = 51.42 avg mph

Answer:

1: 1.268, 1.265, 1.256

2: $16.42

Step-by-step explanation:

I did the math.

Answer:

The measure of an exterior angle is found by the following formula: Aˆ0B=^AB-^CD2. An interior angle has its vertex at the intersection of two lines that intersect inside a circle. The sides of the angle lie on the intersecting lines. You can find a measure of an exterior angle of a regular polygon with  

N  sides.  It is equal to   360 o N .

Step-by-step explanation:  

Angles of a general polygon (exterior and interior) with more than 3 sides are not defined by the lengths of its sides.  

However, we can calculate the sum of all interior or exterior angles of any convex polygon. It equals to  360 o .

It can be proven geometrically since each exterior angle describes a rotation by some angle and a sum of all exterior angles describes a rotation by full angle of  

360 o . So, if all exterior angles are equal, like in a regular polygon, each one equals to  360 o N .

It can also be defined with some algebraic calculations based on the fact that a sum of all interior angles is  ( N − 2 ) ⋅ 180 o .  

Dividing the above by  N

we will obtain a value of an interior angle:  ( N − 2 ) ⋅ 180o N .  

Therefore, exterior angle of a regular polygon is  180 o − ( N − 2 ) ⋅ 180 o N = 360 o N

So you add 2,918+1,264=4,182

Answer:

A number used to multiply a variable. Example: 6z means 6 times z, and "z" is a variable, so 6 is a coefficient. Variables with no number have a coefficient of 1.

Step-by-step explanation:

Answer:

a salesman make 5000+0.2

total 5000+5000.2=10000.2

Answer:2.10%

Step-by-step explanation:

2 is the whole number with 1/10 being also = to 10/100s

Answer:

[tex]S \: is \: between \: R \: and \: T.[/tex]

Answer:

S is between R and T.

Step-by-step explanation:

Answer:

8x² - 14x - 15

Step-by-step explanation:

(4x + 3)(2x - 5)

8x² - 20x + 6x - 15

8x² - 14x - 15

Answer:

Step-by-step explanation:

Use FOIL, first outside inside last.

4x*2x - 5*4x + 3*2x - 3*5

[tex]8x^2-20x+6x-15\\8x^2-14x-15\\[/tex]

Answer:

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Step-by-step explanation:

Volume of a sphere:

The volume of a sphere is given by the following equation:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius.

Implicit derivatives:

This question is solving by implicit derivatives. We derivate V and r, implicitly as function of t. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

The radius of a sphere is increasing at a rate of 4 mm/s.

This means that [tex]\frac{dr}{dt} = 4[/tex]

How fast is the volume increasing (in mm^3/s) when the diameter is 60 mm?

This is [tex]\frac{dV}{dt}[/tex] when [tex]r = \frac{d}{2} = \frac{60}{2} = 30[/tex]. So

[tex]\frac{dV}{dt} = 4\pi r^2 \frac{dr}{dt}[/tex]

[tex]\frac{dV}{dt} = 4\pi*(30)^2*4[/tex]

[tex]\frac{dV}{dt} = 1508[/tex]

The volume is increasing at a rate of 1508 cubic millimeters per second when the diameter is 60 mm.

Answer:

The answer is A

30

Answer:

15 girls.

Step-by-step explanation:

Hope this helps!

Answer:

15 girls

Step-by-step explanation:

2:3 ratio

If you know the amount of boys, then 2x=10, x=5

Now you know that the scale factor is 5

So, multiply 5*3 to get the amount of girls

50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.

Answer:

no its not

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

1 1/2 = 1.5

6/10 = 0.6

1.5 - 0.6 = 0.9

Answer:

B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH