5.

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.

A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.

Answer:

y = 2000 + 500x

Step-by-step explanation:

2000 is the constant, because no matter how many months it takes for him to pay off the car, he has to pay the $2000 today.

And after he pays the 2000, every month he has to pay $500 until he pays the full price, so 500x stand for the months after he pays the initial $2000.

answer 2000 + 500 x M =y  

Answer:

104.06 m^2

Step-by-step explanation:

Area of square

22 X 22 = 484 m^2

Area of circle

3.14r^2

radius = 22/2

radius = 11

3.14* 11^2 = 379.94

484 - 379.94 = 104.06

Answer:

X = 40

Step-by-step explanation:

A triangle has 180 degrees, and considering that triangle ABC is similar to DEF that means that they have the same angles (A=D, B=E, C=F)

180 = 104 + 36 + x

180 = 140 + x

180-140 = x

40 = x

Answer:

yes, because the sum of the two smallest sides must be able to be added together to be greater than the largest number, 2, 12, and 13 fit this requirement.

Step-by-step explanation:

12+2=14

14>13

Answer:

$48

Step-by-step explanation:

20%=1/5

60/5=12

60-12=48

Step-by-step explanation:

volume is cubic feet and cubic meters

area is square feet and square units

perimeter is inches

Answer:

[tex]2\sqrt{42}[/tex] or 12.96

Step-by-step explanation:

Both legs are a and b in the pythagorean thm formula:

a² + b² = c²

Given:

a = 14√6

b = 14√6

Work:

a² + b² = c²

14√6² + 14√6² = c²

84 + 84 = c²

168 = c²

[tex]\sqrt{c^2} =\sqrt{168}[/tex]

c = [tex]2\sqrt{42}[/tex]

Rounded to hundredths:

c = 12.96

Answer:

13

Step-by-step explanation:

8x-6 = 98 and solve from there to get 13

Given:

The circumference of a circle is 18.

Central angle of an arc is 120 degrees.

To find:

The measure of arc length.

Solution:

The arc length of a circle is:

[tex]s=2\pi r\times \dfrac{\theta }{360^\circ}[/tex]

Where, r is the radius of the circle, [tex]\theta[/tex] is the central angle in degrees.

We know that, [tex]2\pi r[/tex] is the circumference of the circle. So, substitute [tex]2\pi r=18,\theta=120^\circ[/tex] in the above formula.

[tex]s=18\times \dfrac{120^\circ}{360^\circ}[/tex]

[tex]s=18\times \dfrac{1}{3}[/tex]

[tex]s=6[/tex]

Therefore, the length of the arc is 6 units.

9514 1404 393

Answer:

  v = 39; w = 47; x = 94; y = 39; z = 47

Step-by-step explanation:

The figure shows v° and 51° are complementary, as are z° and 43°.

  v° = 90° -51° = 39°

  z° = 90° -43° = 47°

Vertical angles are congruent.

  y° = v° = 39°

  w° = z° = 47°

And the angle x° is a vertical angle with the sum of 51° and 43°.

  x° = 43° +51° = 94°

Answer:

Given data:

The range:

The IQR is the difference of Q3 and Q1:

Answer:

b. y=( x-5) /2-7 is your answer bro

Answer: 12%

Step-by-step explanation:

Given

There are 70 dogs and 55 cats at the shelter

If 15 animals are adopted

Total no of animals =70+55=125

Percent of animals adopted is given by

[tex]\Rightarrow \dfrac{\text{Animals adopted}}{\text{Total animals}}\times 100\\\\\Rightarrow \dfrac{15}{125}\times 100=12\%[/tex]

Since we're given y, we can substitute y into the first euqation...

-2x+3(3x+4)=19

-2x+9x+12=19

7x=7

x=1

hope this helps :D brainliest pls

Answer:

32 ft

Step-by-step explanation:

s = number of sides

Area of a square = s²

64 = s²

[tex]\sqrt{64}[/tex] = s²

8 = s

P = 4s

P = 4(8)

P = 32

Answer:

P = 64

Step-by-step explanation:

Area ÷ 4 = One side length = 16

16 x 4 = 64

Answer:

weight on saturn = (weight on earth/9.8) x 10.44

So,

3.24 = (x/9.8) x 10.44

0.3103 = x/9.8

x = 3.0409

The rock would weigh 3.0409 pounds on Earth! :)

Answer:

D.infinitely many

try it you'll see

Answer:

B=128

Step-by-step explanation:

because 190 - 62=128.

Answer and Step-by-step explanation:

The top right shape is the correct option.

It contains a triangle and a rectangle, in which she can use the formulas to solve for their areas.

#teamtrees #PAW (Plant And Water)

Answer: Number 2 is correct. It divides the trapezoid into a square (rectangle) and 2 triangles which is equivalent to the whole trapezoid.

Answer:

Well actually,its fair,because he has a higher chance

Step-by-step explanation:

Answer:

V = 567 ft³

Step-by-step explanation:

V = Bh

[note: a capital 'B' represents the area of the base]

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

Area of triangular base:

 A = [tex]\frac{bh}{2}[/tex]

 A = [tex]\frac{1}{2}[/tex] (9 ⋅ 9)

 A = [tex]\frac{1}{2}[/tex] (81)

 A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

 V = Bh

 V = (40.5)(14)

 V = 567 ft³

x

2

−

3

x

+

7

−

24

x

+

3

Step-by-step explanation: brainly plz

Answer:

[tex] = \frac{({x}^{3} - 2x - 3)}{(x + 3)} \\ rationalise \: the \: denominator \\ = \frac{({x}^{3} - 2x - 3)(x - 3)}{(x + 3)(x - 3)} \\ = \frac{( {x}^{4 } - 3 {x}^{3} - {2x}^{2} + 6x - 3x + 9) }{( {x}^{2} - {3}^{2}) } \\ = \frac{( {x}^{4} - {3x}^{3} - {2x}^{2} + 3x + 9)}{( {x}^{2} - 9) } [/tex]

Answer:

Whats the Question

Step-by-step explanation:

Answer:

I dont really understand the question but here what I got.

Step-by-step explanation:

1.73$+$0.13=1.86$

So he bought something else that cause 0.97$ to equal =2.83$

When we divide both sides of the inequality,

3x > 27 by 3,  3x(3) > 27(3)

we get x > 9, as the simplified form of the inequality.

Thus, giving us the answer of:

x > 9

Answer:

Step-by-step explanation:

3x > 27

x > 9

Answer:

610000

Step-by-step explanation:

Srry i misread that i thought it said round to the nearest thousandth f

After rounding the number to the nearest thousand we get 609635.783

Here,

The given number to round nearest thousand is 609635.782852

What is rounding off of a number?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number.

Now,

In rounding off a number nearest thousand we can write a number up to 3 decimal places

So after rounding 609635.782852 to the nearest thousands we get,

609635.783

Learn more about the Rounding off of a number visit:

https://brainly.in/question/5838592

#SPJ2

Answer:

0.44237 units

Step-by-step explanation:

Given

[tex]v(t) = e^t*sin(e^t)[/tex]

[tex]0 \le t \le \frac{\pi}{2}[/tex]

Required

The distance traveled in this interval

We have:

[tex]v(t) = e^t*sin(e^t)[/tex]

The distance is calculated as:

[tex]d(t) = \int\limits^a_b {v(t)} \, dt[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

Let:

[tex]u = e^t[/tex]

Differentiate

[tex]\frac{du}{dt} = e^t[/tex]

So:

[tex]dt = e^{-t} du[/tex]

So, we have:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(e^t)} \, dt[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t*sin(u)} \, e^{-t} du[/tex]

Rewrite as:

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {e^t* e^{-t}*sin(u)} \, du[/tex]

[tex]d(t) = \int\limits^{\frac{\pi}{2}}_0 {sin(u)} \, du[/tex]

Integrate:

[tex]d(t) = -\cos(u)|\limits^{\frac{\pi}{2}}_0[/tex]

Substitute [tex]u = e^t[/tex]

[tex]d(t) = -\cos(e^t)|\limits^{\frac{\pi}{2}}_0[/tex]

Split

[tex]d(t) = -\cos(e^\frac{\pi}{2}) - [-\cos(e^0)][/tex]

[tex]d(t) = -\cos(e^\frac{\pi}{2}) +\cos(e^0)[/tex]

[tex]d(t) = -0.09793 + 0.5403[/tex]

[tex]d(t) = 0.44237[/tex]

The distance traveled in this interval is: 0.44237 units

dt =

d(t) = \int\limits^2_0 {e^t*sin(e^t)} \, dt

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%