The cost of membership in the school kayaking club is a $10.00 fee and $3.00

16

Tanya [424]

Answer:

$2.50$

Step-by-step explanation:

Given

$(x_1,y_1) = (-1,0.8)$

$(x_2,y_2) = (0,2)$

$(x_3,y_3) = (1,5)$

$(x_4,y_4) = (2,12.5)$

Required

The rate of change (b)

The above graph is represented as:

$y = ab^x$

For: $(x_2,y_2) = (0,2)$ ;

We have:

$y = ab^x$

$2 = a * b^0$

$2 = a *1$

$2 = a$

$a = 2$

For $(x_3,y_3) = (1,5)$ ,

We have:

$y = ab^x$

$5 = a * b^1$

$5 = a * b$

Substitute $a = 2$

$5 = 2 * b$

Divide by 2

$2.5 = b$

$b = 2.5$

Hence, the rate of change is 2.50

7 0

3 years ago

Maria has three red dresses, 2 white dresses, and one blue dress . What is the probability she will wear a blue dress at her par

dedylja [7]

Answer:

1/6

Step-by-step explanation:

there are 6 dresses altogether and 1 blue dress.

8 0

3 years ago

Read 2 more answers

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.

ale4655 [162]

Umm..... according to what I know The ratio of the sides of a 30°-60°-90° triangle are:
short leg : long leg : hypotenuse
1 : √3 : 2
 if the short leg is 7, the long leg is √3 times that:
Answer:
7√3 ≈ 12.12 inches

8 0

3 years ago

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Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the perimeter to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the Quadratic formula , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the hypotenuse using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

3 years ago

‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️I need help ASAP 30 points and brainliest to correct answer and most helpful. Please elaborate and explain y

Strike441 [17]

1. Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?

25% chance

2. Describe how to use two coins to simulate which two pets the family has.

You could use the coins to simulate which pet the family has by flipping them and having head be dog and tails be cat (or vice-versa).

3. Flip both coins 50 times and record your data in a table like the one below.

Based on your data, what is the experimental probability that the family has two dogs or two cats?

Based on the results, I concluded that for Heads, Heads (which could be dogs or cats) there was a 24% chance and for Tails, Tails there was a 26% chance

4. If the family has three pets, what is the theoretical probability that they have three dogs or three cats?

1/8 chance (accidentally messed up there) or 12.5%

5. How could you change the simulation to generate data for three pets?

To flip 3 coins and add more spots on the chart.

I hope that this helps because it took a while to write out. If it does, please rate as Brainliest

5 0

3 years ago

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