Please help me with these two questions!

Answer:

A. G'(5) = 20

B. G'(5) = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative Rule [Product Rule]:                                                                              [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Derivative Rule [Quotient Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Step-by-step explanation:

Step 1: Define

[Given] F(5) = 4, F'(5) = 4, H(5) = 2, H'(5) = 3

[Given] A. G(z) = F(z) · H(z)

[Given] B. G(w) = F(w) / H(w)

[Find] G'(5)

Step 2: Differentiate

A. G(z) = F(z) · H(z)

B. G(w) = F(w) / H(w)

Step 3: Evaluate

A. G'(5)

B. G'(5)

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

the missing side of the rectangle should be twelve

Step-by-step explanation:

Answer: the other side is 7 units right ?i do not know but that is my answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

a > 0 for an up-opening parabola, so a = 0.25 for the third graph.

The greater the magnitude of a, the skinnier the parabola.

|-1| < |-4|, so a = -4 for the first graph.

Answer:

Step-by-step explanation:

Answer:Answer: $7.50

Step-by-step explanation:

$55-$10=$45  45/6=7.5

Step-by-step explanation:

Answer:

q= 45/14 (or) 3 3/14

Step-by-step explanation:

7/9=5/2/q

cross multiply

7q=45/2

q=45/2÷7

q= 45/14 (or) 3 3/14

Answer:

write 9x+80=7x+120

next transpose the x values to one side and the number to other side

i.e 9x-7x=120-80

= 2x= 140

x=140/2

and you will get the answer 70

so x=70

Step-by-step explanation:

Please mrk me as brainliest if you

Answer:

b. 1 liters of milk

c. 2.4 hours

d. (any number) /10% times 100

Step-by-step explanation:

because of the gravity of the earth

bobo Ampt

Step-by-step explanation:

step 1. the answer is no - to all of them

step 2. 12x < 78

step 3. x < 6 5

step 4. the answer is x is less than 6.5 but not equal to

step 5. if you had 12x <= 78 then 6.5 would be a solution because it would also be equal to.

Answer:

Side length:11

Area: 121

Step-by-step explanation:

if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121

I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?

Answer:

Falls to the left and rises to the right

Step-by-step explanation:

because

degree =5

leading coefficient =4 and positive it will rise to the right

those are tips to use to determine it :

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

Complete Question:

Johnny printed two maps of a walking trail near his home. The length of the walking trail on the first map is 8 cm.

(a) Choose a length between 5 cm and 15 cm for the walking trail on the second map: ________cm.  

(b) Determine the scale factor from the first map to the second map.

(c)  A landmark on the first map is a triangle with side lengths of 3 cm, 4 cm, and 5 cm. What are the side lengths of the triangle landmark on the second map?  

(d) Draw one of the triangles from part C. Label the side lengths and vertices accordingly. You may use this drawing tool or draw your triangle on paper:

Answer:

(a) Length = 4cm

(b) Scale factor = 0.5

(c) 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Step-by-step explanation:

(a) Choose a length between 5 cm and 15 cm

[tex]Length =4cm[/tex] --- This is solely up to you (you can make use of any length between 5 cm and 15 cm)

(b) The scale factor

The scale factor (k) is calculated as:

[tex]k = \frac{New\ Length}{Old\ Length}[/tex]

[tex]k = \frac{4cm}{8cm}\\[/tex]

[tex]k = 0.5[/tex]

(c) What are side lengths of 3 cm, 4 cm, and 5 cm on the second landmark

Using:

[tex]k = \frac{New\ Length}{Old\ Length}[/tex]

The old lengths, in this case are: 3cm, 4cm and 5cm

Make New length the subject

[tex]New\ Length = k * Old\ Length[/tex]

When [tex]Length = 3cm[/tex]

[tex]New\ Length = 0.5 * 3cm = 1.5cm[/tex]

When [tex]Length = 4cm[/tex]

[tex]New\ Length = 0.5 * 4cm = 2cm[/tex]

When [tex]Length = 5cm[/tex]

[tex]New\ Length = 0.5 * 5cm = 2.5cm[/tex]

So: 3cm, 4cm and 5cm are represented by 1.5cm, 2cm and 2.5cm respectively, on the second scale

(d) See attachment for triangle

Answer:

z = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Identify

Diagram shows supplementary angles.

(9z + 7)° + 74° = 180°

Step 2: Solve for z

Answer:

a=3; (3,5) and (4,0) for the graph  

Step-by-step explanation:

ax-y=4

x=3, y=5 so...

a(3)-5=4

3a-5=4

+5 +5

3a=9

/3 .  /3

a=3

For the graph, use (3,5) and substitute x and y for anything:

ax-y=4

if x=0...

a(0)-y=4

-y=4

y=4

a=3; (3,5) and (4,0) for the graph!  

Answer:

The answer will be True

Step-by-step explanation:

Because I said so

As it is a parallelogram opposite sides are same

[tex]\\ \sf\longmapsto <B=<D[/tex]

[tex]\\ \sf\longmapsto <A=<C[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

Answer:

648

Step-by-step explanation:

It will round down (since 4 and down round down) to 600. Therefore, the answer is 648.

Hope that helps!

-Sabrina

Answer:

648

Step-by-step explanation:

Answer:

6 x 1/3 = 2

Step-by-step explanation:

Answer:

340 in^2

Step-by-step explanation:

1. First square

A = l*w = 12^2 OR 12*12 = 144

2. Second square

A = l*w = 14^2 OR 14*14 = 196

3. Combined Area

144+196=340

The area of a square is found by squaring the side length, which is the same as multiplying two of the sides together.

Square 1: 12 x 12 = 144 square inches.

Square 2: 14 x 14 = 196 square inches.

Total area = 144 + 196 = 340 square inches.

Answer: 35/100

Step-by-step explanation: percents are always out of 100, so 100 will always be in the denominator.

Answer:

35/100

Step-by-step explanation:

35% is from 100%, so same for the fraction form 35/100

Answer:

The pooled estimate of the common variance is approximately 639.59

Step-by-step explanation:

The given parameters are;

The number of shops Emily visited, n₁ = 12 shops

The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85

The standard deviation of the estimate Emily was given, s₁ = $28

The number of shops John visited, n₂ = 9 shops

The average repair estimate John was given, [tex]\overline x_2[/tex] = $65

The standard deviation of the estimate John was given, s₂ = $21

The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;

[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]

[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]

∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59

Answer:

= 7 - 5n

Step-by-step explanation:

Product of 5 and n

= 5 × n

= 5n

Subtracted from 7

= 7 - 5n which is the answer.

I really do not know because it does not make sense

Answer:

never did this before but I think it's 24

Answer:

Step-by-step explanation:

It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.

Fortunately, I can tell that the axis of symmetry is x=2.

Put the equation into vertex form by completing the square.

axis of symmetry = b/2

b/2 = 2

b = 4

Answer:

b

Step-by-step explanation:

Answer:

B thank you for doing that hard work

putting all that info in

Step-by-step explanation: