Write a function to model set of data

Answer:

4

Step-by-step explanation:

I used a calculator. I put integral values of 3 and 1 and then entered the equation inside absolute value bars

The total distance traveled by the laser beam in the given time interval is required.

The total distance traveled by the laser in the given time interval is 4 feet.

The given equation is

[tex]v(t)=t^2-4[/tex]

The given time interval is from t = 1 to t = 3 seconds.

In order to find the distance traveled we need to integrate the equation with respect to time and between the given intervals.

[tex]0=t^2-4\\\Rightarrow t=\pm 2=+2[/tex]

The laser will change the direction at [tex]t=2[/tex]

[tex]\int_1^3 v(t)=\int_1^2t^2-4 dt+\int_2^3t^2-4 dt\\\Rightarrow \int_1^3 v(t)=\dfrac{t^3}{3}-4t|_1^2+\dfrac{t^3}{3}-4t|_2^3\\\Rightarrow \int_1^3 v(t)=\left|\dfrac{2^3}{3}-4\times 2-(\dfrac{1^3}{3}-4)+\dfrac{3^3}{3}\right|-\left|4\times 3-(\dfrac{2^3}{3}-4\times2)\right|\\\Rightarrow \int_1^3 v(t)=\dfrac{5}{3}+\dfrac{7}{3}\\\Rightarrow \int_1^3 v(t)=\dfrac{12}{3}\\\Rightarrow \int_1^3 v(t)=4\ \text{m}[/tex]

Since, here distance is asked the absolute value of each integral is used.

Learn more about equation of motion:

https://brainly.com/question/25951773

Answer:

V = 4.22ft^3

Step-by-step explanation:

Length: 2.25ft

Width: 1.5ft

Height: 1.25ft

Length x Width x Height = V

2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!

Answer:

g= - 3x/x-2

Step-by-step explanation:

2−1⋅22−12−2−1⋅22−12

Step-by-step explanation:

Answer: 250+75x

Step-by-step explanation: 250 is the flat charge on the phone, and he pays 75 dollars as a monthly rate. x represents the amount on months.

Answer:

(x+6)(x-6)

Step-by-step explanation:

Given: x²-36

Difference of Squares Formula: x²-a²=(x+a)(x-a)

Since 6²=36: x²-6²=(x+6)(x-6)

Answer:2

Step-by-step explanation:

Answer:

1663

Step-by-step explanation:

Answer:

last option

Step-by-step explanation:

the middle term is the sum of 4k and 4k which is 8k

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

Answer:

cos 30

Step-by-step explanation:

Answer:

Although this (attached) would be the correct answer always; A would be the most logical one since only one piece is shaded the opposite color.

:)

Answer:

[tex]A=225cm[/tex]

Step-by-step explanation:

From the question we are told that:

Sides of the square post

[tex]L=15cm[/tex]  

Generally the equation for Area of a square A is mathematically given by

[tex]A=L*B[/tex]

Where L=B

Therefore

[tex]A=15*15[/tex]

[tex]A=225cm[/tex]

How to solve your problem

9−4+3

9x−4+3x9x-4+3x9x−4+3x

Simplify

1

Combine like terms

9−4+3

9x−4+3x{\color{#c92786}{9x}}-4+{\color{#c92786}{3x}}9x−4+3x

12−4

12x−4{\color{#c92786}{12x}}-412x−4

Solution

12−4

SO D

Answer:

Answer is 12x - 4

Step-by-step explanation:

The give equation (9x -4 + 2x) has two x variables, we can take them both and add them together since they are both x's. So you would take 9 + 3 and and it to get 12, then plug in the variable x. Which will make your new equation 12x - 4

Answer:

42 miles

Step-by-step explanation:

20 x 16.7 = 334 miles on a full tank of gas

he drove 292 miles so 334 - 292 = 42 miles left

Answer:

the first (c) is the answer:  ΔABC ≅ ΔPQR

Step-by-step explanation:

Answer:

12.6cm

Step-by-step explanation:

12.6 cm²

Area formula: (A = πr²)

If the diameter is 4 cm.. then that would mean the radius is 2 cm because the radius is half of the diameter. So, we already know the radius.. we just have to find the circumference.

Circumference formula: (C = πd) or (C = 2πr)

Finding the circumference : 3.14 × 4 = 12.56 cm

So, we now have the radius and circumference.

Radius = 2 cm

Circumference = 12.56 cm

Finding the Area : 3.14 × 2 × 2 = 12.56 cm²

So, 12.56 rounded to the nearest tenth is 12.6 cm².

Hope this helped! :)

Given:

The table of values of an exponential function.

To find:

The function for the given table of values.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]        ...(i)

Where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (1,9) and (2,36). It means the function must be true for these two points.

[tex]9=ab^1[/tex]        ...(ii)

[tex]36=ab^2[/tex]       ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{36}{9}=\dfrac{ab^2}{ab}[/tex]  

[tex]4=b[/tex]  

Putting [tex]b=4[/tex] in (ii), we get

[tex]9=a(4)^1[/tex]

[tex]\dfrac{9}{4}=a[/tex]

Putting [tex]a=\dfrac{9}{4},b=4[/tex] in (i), we get

[tex]y=\dfrac{9}{4}(4)^x[/tex]

[tex]y=9(4)^{x-1}[/tex]

The function notation with variable n is:

[tex]f(n)=9(4)^{n-1}[/tex]

Therefore, the correct option is D.

Answer:

Binary-yes

Independent-yes

Number of trials- No

Same probability-yes

Step-by-step explanation:

Answer:

Binary?

✔ Yes

Independent?

✔ Yes

Number of trials?

✔ No

Same probability?

✔ Yes

Step-by-step explanation:

Answer:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

Step-by-step explanation:

Answer:

The fourth angle = 60°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360°.

The fourth angle = 360° - 100° - 120° - 80° = 60°

Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

Answer:

6⁹

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{6^6}{6^{-3}}[/tex]

Step 2: Simplify

Answer:

v = 135.5 cm³

Step-by-step explanation:

v = 1/3bh = 1/3(16)(25.4) = 135.5 cm³

Answer:

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Step-by-step explanation:

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Answer:

First, let's find the area of the whole pizza:

Area of circle = pi x r^2

r = 16 / 2

r = 8

Area of pizza = pi x 8^2 = 64pi

Now 45 degrees is 1/8 of the whole pizza (it is one-eighth of 360 degrees), and so a slice is proportional to the fraction of the area:

64pi / 8 = 8pi

The area of each slice is then 8pi in.^2

Step-by-step explanation: