what is the rate of change and initial value for this graph?

Answer:

The answer is below

Step-by-step explanation:

The rocket is made up of square pyramid and a rectangular prism. Hence the volume of the rocket is the sum of the volume of the square pyramid and the volume of the rectangular prism.

Volume of square pyramid = a²h/3

a = base length = 1.1 in, h = height of pyramid = 2.1 in

Volume of square pyramid = a²h/3 = 1.1² * 2.1/3 = 0.847 in³

Volume of rectangular prism = length * breadth * height = 1.1 * 1.1 * 8.2 = 9.922 in³

Volume of rocket = volume of prism + volume of pyramid = 0.847 + 9.922 = 10.769 in³

Answer:

I think its 2/9 but im not sure worth a try doe

Answer:

C

Step-by-step explanation:

The greatest common factor of 8 and 10 is 2

The greatest common factor of a^4 and a^3 is a^3

The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.

The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.

Given the a³ is not common in  A and B they are wrong

C. 8a⁴ + 10a³

common factors of 8 and 10 is 2

so 8a⁴ + 10a³  has factors 2a³

Hence option C is correct.

Learn more about greatest common factor;

https://brainly.com/question/11221202

#SPJ2

Answer:

84 Sq in

Step-by-step explanation:

area of the composite figure = Area of square + Area of triangle

[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]

Answer:

[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]

combine the equations:

[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]

divide both sides by -48:

[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]

substitute the value of y to the second equation

[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]

simplify multiplication:

[tex] \displaystyle \: 4x + 12 = 8[/tex]

cancel 12 from both sides:

[tex] \displaystyle \: 4x = - 4[/tex]

divide both sides by 4

[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]

therefore our solution is

[tex]\displaystyle (x,y)=(-1,-3)[/tex]

Answer:

Solution given:

-3x+7y=-18

3x-7y=18.................[1]

4x-4y=8

4(x-y)=8

x-y=[tex] \frac{8}{2} [/tex]

x-y=2..........….........[2]

multiplying equation 2 by 3 and subracting equation 1 and 2,we get

[tex]3x-7y - 3x + 3y = 18 - 6[/tex]

-4y=12

y=[tex] \frac{12}{ - 4} [/tex]=-3

substituting value of y in equation 2,we get

x-(-3)=2

x=2-3

x=-1

:.

x=-1

y=-3

Answer:

0.25xy+z+1.25=0

Step-by-step explanation:

Answer:

$1084545551

Step-by-step explanation:

We have:

$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the mirror reflection.

Since the image of triangle is reflected along Y-axis,hence the coordinates of N after 270° rotation are

N ==> ( 3,0)

===> Option D.) is correct

Answer:(3,0)

Step-by-step explanation:

D

Answer:

C) football's height after 3 seconds

Step-by-step explanation:

363 inch²

Step-by-step explanation:

Each vertical face is a rectangle.

Area of each face = length x breadth

= 8 x 6 inch² = 48 inch²

There are 5 such faces, total area = 5 tiimes of 48 inch² = 240 inch²

For horizontal faces:

Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). With base 6 inch & height 4.1 inch.

For 2 such faces, you have 2 x 5 times of area of 1 ∆.

Area of 10∆s = 10 ( ½ x 4.1 x 6) = 123 inch²

Total area = area of horizontal surfaces + area of vertical surfaces

Total area = 240 + 123 inch² = 363 inch²

Answer:

6 and 2

Step-by-step explanation:

6 times 2 is 12 and 6 plus 2 is 8

Function 1 Answer: 45

Function 1 Explanation: The rate of change (ROC) is basically the same thing as the slope of a graphed function. If you were to graph this table onto a coordinate plane, the slope of the line formed would be 45. (see Function 2 Explanation for more explanations, duh.)

Function 2 Answer: 40

Function 2 Explanation: Functions can be written in slope-intercept form, like this: y = mx + b. The m is the slope, or ROC (above), and the b is called the y-intercept, or where the line crosses the y-axis. The m in that equation is 40...

Hope that helps!! Sorry that took so long...

Answer:

5760 mm

Step-by-step explanation:

just multiply lol

Answer:

a     n=0.8

Step-by-step explanation:

Answer: X=23

<u is 75

< v is 29

<w is 76

Step-by-step explanation:

< u + < v +< w = 180

<w + 3x+35 = 180

so 3x+35= <v+ <u

3x+35=x+52+x+6

3x+35= 2x+58

x+35=58

x= 23

so each angle

U= (23+52)= 75

V= (23+6)= 29

W=180-75-29= 76

or 3(23)+35+w=180

104+w=180

w= 76

Answer:

$0.57

Step-by-step explanation:

20% of $2.85 =

= 0.2 * $2.85

= $0.57

2.85 x 0.2 = 0.57

Yoon saves 57 cents

Answer:

2 hours

Step-by-step explanation:

Answer:

11.76

Step-by-step explanation:

j

Answer:

-3

Step-by-step explanation:

Nearest unit tho will be -0 i think

Answer:

10) 9*9*9*9 = 6561

11) 2*2*2 = 8

12) 3*3*3*3*3 = 243

13) 4*4*4 = 64

14) 6*6*6*6*6 = 7776

15) 5*5*5*5 = 625

16) 8.5*8.5*8.5 = 614.125

17) 1.3*1.3 = 1.69

18) 7*7*7*7 = 2401

Used a calculator

Answer:

I guess it's whole; because it first appears there.

Answer:

The rate of change is -4

Step-by-step explanation:

In slope intercept form the m value is the rate of chane/slope

Answer:

z>8

.....................

Answer:

Step-by-step explanation:

We see on the graph:

Average rate of change:

Answer:

I think the answer is 17

Step-by-step explanation:\

The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.  

I hope this helps :)

Answer:

[tex]1860 - 550 = 1310 \\ = 1310[/tex]