Independent Practice

Now practice solving some problems.

People
2
3
4
5
6

Cost
(dollars)

7.90
11.85
15.80
19.75
23.70


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


A.
–3.95; the cost per person is –$3.95.


B.
–0.25; the cost per person is –$.25.


C.
3.95; the cost per person is $3.95.


D.
0.25; the cost per person is $.25.

Answer:

15x^2+3x-2

Step-by-step explanation: Just like regular math but with negatives!

Answer:

You may have gotten the opposite and adjacent mixed up.

[tex]\frac{24}{7}[/tex]

Step-by-step explanation:

An easy way to remember these trigonometric ratios is by using SOHCAHTOA, where:

SOH stands for-

[tex]Sine=\frac{Opposite}{Hypotenuse}[/tex]

CAH stands for-

[tex]Cosine=\frac{Adjacent}{Hypotenuse}[/tex]

TOA stands for-

[tex]Tangent=\frac{Opposite}{Adjacent}[/tex]

We are asked to find tan 74° given the right triangle. To find this, we must find the lengths of the opposite side and the adjacent side of the 74° angle. From looking at the triangle, we can see that the side opposite from the 74° angle is 24, and the adjacent is 7. So plugging it into the trigonometric ratio that we found using SOHCAHTOA, we find that:

[tex]tan74=\frac{24}{7}[/tex]

So the answer would be [tex]\frac{24}{7}[/tex]

Seeing as how you picked [tex]\frac{7}{24}[/tex] as your answer, it seems that you may have gotten the opposite and the adjacent mixed up or used [tex]tangent=\frac{adjacent}{opposite}[/tex] as your trigonometric ratio.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

1.6

Step-by-step explanation:

The average of this ten number is (1+6+2+4+4+3+5+5+2+8)/10=4

So the MAD is (|1-4|+|6-4|+|2-4|+|4-4|+|4-4|+|3-4|+|5-4|+|5-4|+|2-4|+|8-4|)/10

=(3+2+2+0+0+1+1+1+2+4)/10

=1.6

Answer:

Percent of change each year = 5%

Step-by-step explanation:

P.S - The exact question is -

Given - The number of carbon atoms in a fossil is given by the function,

             y (x)= [tex]5100(0.95)^{x}[/tex], where x represents the number of years since

             being discovered.

To find - What is the percent of change each year? Explain how you arrived

              at your answer

Proof -

Given that, the number of carbon atoms in a fossil is y(x) = [tex]5100(0.95)^{x}[/tex]

Initially, the number of fossils be

y(0) = [tex]5100(0.95)^{0}[/tex] = 5100

After 1 year, The number of fossils be

y(1) = [tex]5100(0.95)^{1}[/tex] = 5100(0.95) = 4845

Now,

Change in 1 year = y(0) - y(1) = 5100 - 4845 = 255

Now,

Percent of chance  = [tex]\frac{255}{5100}[/tex] × 100%

                                = 0.05 × 100%

                                = 5%

⇒Percent of chance = 5%

∴ we get

Percent of change each year = 5%

Answer:

1152

Step-by-step explanation:

Answer:

24-18=6+6+12

hope this helps you!!

Step-by-step explanation:

Answer:The answer is (4 x -1)

Step-by-step explanation: How to solve this is tell the teacher I don’t know

Answer:

Step by step

Step-by-step explanation:

Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.

That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)

Distance between the given points give the diameter and half of that is the radius length.

So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)

Thus equation required is: (x-a)^2 + (y-b)^2 = r^2

So, (x+1)^2 + (y-3)^2 = 5

The equation of the circle is (x + 1)² + (y - 3)² = 5

The endpoints of the diameter are given as:

(1, 4) and (−3, 2)

Start by calculating the midpoint using:

Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

Midpoint = 0.5 * (1 - 3, 4 + 2)

Evaluate

Midpoint = (-1, 3)

So, the center (a,b) of the circle is:

(a,b) = (-1,3)

Calculate the length of the diameter using:

D² =(x₁ - x₂)² + (y₁ - y₂)²

This gives

D² = (1 + 3)² + (4 - 2)²

D² = 20

Take the square roots

D = 2√5

Divide by 2 to calculate the radius

r = √5

Square both sides

r² = 5

The equation of the circle is then represented as:

(x - a)² + (y - b)² = r²

This gives

(x + 1)² + (y - 3)² = 5

Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

$30

Step-by-step explanation:

To find the original price, divide the new price by 0.8

24/0.8

= 30

So, the original price was $30

Answer:

30 dollars

Step-by-step explanation:

Answer: 156

Step-by-step explanation: 52*3=156 tickets

Answer:

7 feets

Step-by-step explanation:

Volume of shed, V = 357 feet³

Height of shed, H= 8 1/2 fts

Width of shed, W = 6 ft

Using the relation :

Volume = Length * width * height

357 = L * 6 ft * 17/2 feets

357 feets³ = L * 51 feets²

L = 357 feets³ / 51 feets²

Length, L = 7 feets

Answer:

mx+b=y

200x+800=y

Step-by-step explanation:

it starts at 800 which is the y intercept

x is multiplied by 200

and y is the solution

Do not press the file

hopes this helps <3

Answer:

$3.50

Step-by-step explanation:

27,50-24.00=3.50

Answer:

there are 3 Juniors, 4 sophomores and 8 seniors

Answer:

5999

Step-by-step explanation:

Answer:

a. 35 degrees

b. 145 degrees

Step-by-step explanation:

a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is isosceles, which means that the two base angles and sides are congruent.

Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.

b. There are two approaches to solve this problem. I have worked both out.

1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.

2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.

Either way you use, you get the correct answer. Hope this helped!

Answer: 2 over 3 = 5 over 6 and the other answer is 6 over 6

Step-by-step explanation: Hope this helps

Answer:

7.0

Step-by-step explanation:

Right angled triangle. To find the hypotenuse, use Pythagorean theorem.

Hypotenuse² =  base² + altitude²

                      = 6.5² + 2.7²

                      = 42.25 + 7.29

                     = 49.54

hypotenuse = √49.54 = 7.04 = 7

Step-by-step explanation:

by using Pythagoras law

h²=p²+b²

missing angle =h let

h²=(2.7)²+(6.5)²

h=√(49.50)=7.03=7

Answer:

[tex]\frac{2x+y}{w}[/tex]

Answer:

Here, it's ratio

Step-by-step explanation:

4/9: 2 and 2/9

simplify

1:5

6/7:x

6/7 x 5 is....

30/7

Mixed number is 4 2/7

BLAM!!!

Answer:

This is a reduction dilation :)

Step-by-step explanation:

Answer:

0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s

The time taken by the skydiver to reach the ground is 14.1 second.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.

Here, n=0

-16t² + 3200=0

-16t²=-3200

t²=200

t=√200

t=14.14

t=14.1 second

Therefore, the time taken by the skydiver to reach the ground is 14.1 second.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ3

Answer:

Not enough information.

Step-by-step explanation:

AB + BC + CD + DA = 46

In a parallelogram, opposite sides are congruent.

AB + DA + AB + DA = 46

2AB + 2DA = 46

We have two unknowns and only one equation.

There is not enough information to answer the question.

Answer:

Triangular prism

Step-by-step explanation:

A triangular prism has 9 edges, 6 vertices and 5 faces. I don't think there is any other shape which fits 9 edges and 6 faces.

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.

Given:

The graph of a parabola.

To find:

The equation for the parabola.

Solution:

The vertex form of a parabola is:

[tex]y=a(x-h)^2+k[/tex]       ...(i)

Where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.

Putting h=-1 and k=6 in (i), we get

[tex]y=a(x-(-1))^2+(6)[/tex]

[tex]y=a(x+1)^2+6[/tex]         ...(ii)

The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get

[tex]3=a(0+1)^2+6[/tex]

[tex]3-6=a[/tex]

[tex]-3=a[/tex]

Putting a=-3 in (ii), we get

[tex]y=-3(x+1)^2+6[/tex]

Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].

Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias