Consider the function graphed below. What is the average rate of change of the function over the interval [1, 3]?

A. 32
B. 36
C. 42
D. 48

4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Brandon feed

Answer:

yes, he would have enough money

He would need a total of 1.5 gallons to paint the wall .

the cost of 1.5 gallons is $18 dollars.

Andrew has 40. he has enough money

Step-by-step explanation:

total gallon needed to pain four walls = 3/8 x 4 = 1 1/2 gallons

total cost of 1 1/2 gallons = 1 1/2 x $12

to calculate this amount convert 1 1/2 to improper fraction

to convert to improper fraction, take the following steps :  

1. Multiply the whole number  by the denominator

2. Add the numerator to the answer gotten in the previous step

3. divide the number gotten in the previous step by the denominator  

3/2 x $12 = $18

Answer:

That's a right angled Triangle

When viewed upside down

(HINT: 50 can't possibly be the adjacent; Why? Its the longest side(Hypotenuse)... You can also know this by identifying the part of the triangle directly facing the 90° sign)

tanA= Opp/Adj

tanA= 30/40

tanA= 3/4

OPTION D SEEMS LEGIT!!!

Answer:

[tex] \large{ \tt{♕ \: EXPLANATION }}: [/tex]

[tex] \boxed{ \large{ \tt{✺ \: PERIMETER \: OF \: SQUARE \: ( \: P \: )= 4l}}}[/tex]

- Plug the value of length ( L ) of square :

[tex] \large{ \tt{↬P = 4(4x - 8)}}[/tex]

- Distribute 4 through the parantheses :

[tex] \large{ \tt{↬P = 4 \times 4x - 4 \times 8}}[/tex]

[tex] \large{ \boxed{ \tt{↬P = 16x - 32 \: units}}}[/tex]

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-12u+168b is the answer

Answer:

Step-by-step explanation:

take 40 degree as reference angle

using cos rule

cos 40=adjacent/hypotenuse

0.76=5/x

0.76x=5

x=5/0.76

x=6.578

x=6.58

Answer:

y = 2x + 5

Step-by-step explanation:

(-5 , -5)  & (-1 , 3)

Slope =[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

         [tex]=\frac{3-[-5]}{-1-[-5]}\\\\=\frac{3+5}{-1+5}\\\\=\frac{8}{4}\\\\= 2[/tex]

m = 2 & (-5 , -5)

Y -y1 = m(x -x1)

y - [-5] = 2(x - [-5] )

y + 5 = 2 (x + 5)

y+ 5 = 2x + 2*5

   y = 2x + 10 - 5

   y = 2x + 5

[tex] \huge{ \mathcal{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given figure is a sphere :

[tex] \boxed{ \mathrm{volume = \frac{4}{3}\pi {r}^{3} }}[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

Answer:

Step-by-step explanation:

-(2x+1)

-2x-1

write -2 in that bos and 1 after "-"

Answer:

28.27

Step-by-step explanation:

Formula to find the total surface area is

2pi · r · h + 2pi r^2

the radius is 3cm

2pi · 3 · 10 + 2pi · 3^2

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = [tex]\sqrt{420,25}[/tex]

x ~ 20,5

Letter C: 20,5 feet

The required length of the ladder is given as 20.5 feet. Option C is correct.

In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.

Here,
The height of the building is 20 feet,
base length from the bottom of the building to the bottom of the ladder is 4.5 feet,
Let the hypotenuse length of the ladder be x,
Applying the Pythagoras theorem,
x² = 4.5² + 20²
x = √[420.25]
x = 20.5 feet

Thus, the required length of the ladder is given as 20.5 feet. Option C is correct.

Learn  more about Pythagorean triplets here:

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Answer:

i think there's zero solutions

Step-by-step explanation:

a) unsuitable - the precision should have been about 0.030 kg (about an ounce)

b) unsuitable - the stopwatch should have a precision of 0.001 s

c) just about right, although I wouldn't mind it if its precision is of 0.05 mm

d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.

Answer:

3e

Step-by-step explanation:

Answer:

(10, 8)

Step-by-step explanation:

The missing vertex can be found by plotting the given coordiantes on a graph.

Answer:

(5,2)

Step-by-step explanation:

The first coordinate is the x coordinate or the distance left or right from the origin.  To get to L we go 5 units to the right or +5.

The second coordinate is the y coordinate or the distance up or down,  We go 2 units up or +2

(5,2)

Answer:

the answer is

x-axis=+5

y-axis=+2

therefore the answer here is (5,2)

Answer:

3.5

Step-by-step explanation:

add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5

The value of x in the given hexagon is 3.5 m.

Perimeter of Hexagon is equal to sum of all sides.

Here, Two sides are 5 m long

and remains 4 sides have length x m.

Perimeter = Sum of all sides

           24 = 2 X 5 + 4x

           24 = 10 + 4x

            4x = 24 -10

            4x = 14

            x = 14/4

            x = 3.5 m

Thus, the value of x in the given hexagon is 3.5 m.

Learn more about Perimeter from:

https://brainly.com/question/6465134

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Answer:

1

Step-by-step explanation:

m= y/x =5/5= 1

__________

Answer:

The 4th answer

Step-by-step explanation:

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

To correctly prove the law of sines in a triangle the student should begin with the most basic or evident piece of information, then add related statements to it. and finish the proof with the conclusion or re-statement of the law.

A mathematical proof refers to a set of statements that logically demonstrate a law is true or the mathematical statement is valid, which means the prepositions and conclusion are valid.

The general pattern for proof is:

Note: This question is incomplete because the proof is missing; due to this I answered it based on general knowledge.

Learn more about proof in: https://brainly.com/question/2034189

Answer:

The student has

correctly

started the proof.

The next step in the proof is to

express h in terms of angle X and side z

.

Then the student should

set the expressions for h equal

.

Step-by-step explanation:

Answer:

5√3

Step-by-step explanation:

tan30= 5/z

1/√3= 5/z

z= 5√3

Answer:

r = 3.25

Step-by-step explanation:

Start by eliminating the decimal fraction 0.5:  2(0.5)(r + 2.75) = 2(3) = 6

Then we have r + 2.75 = 6.

Isolate r by  subtracting 2.75 from both sides.  This leaves us with

r = 6 - 2.75 = 3.25.

r = 3.25

Answer:

Answer:

d)

#2

#3

Diagonals are perpendicular. Side length of the rhombus:

Perimeter:

Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

[tex]nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} [/tex]

Now, keep all values.

[tex]nth = 6 \times {3}^{n - 1} [/tex]

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

Hope it helps!