Kylee manages a small theme park and she has been analyzing the attendance data. Kylee finds that the number of visitors exponentially as the tempature increases, and this situation is represented by the function f(x) = 4 ^ x Kylee also finds a linear equation that no deals the number of people who leave the park early depending on the change in temperature , and it is represented by f(x) = - x + 5. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answer:

The area of the given figure is 87.55 cm square.

Answer:

a) Acceleration = 2.4 m per seconds²

b) Distance traveled = 132 m

Step-by-step explanation:

a). Acceleration of an object is defined by the equation,

v = u + at

Here, v = Final speed

u = Initial speed

a = Acceleration

t = Duration Or time

From the graph attached,

Between t = 0 and t = 5 seconds,

v = 12 meter per second

u = 0

t = 5 seconds

B substituting values in the equation,

12 = 0 + a(5)

a = [tex]\frac{12}{5}[/tex]

a = 2.4 m per seconds²

b). Equation representing distance traveled by an object,

v² = u² + 2as

Here, v = Final speed

u = Initial speed

a = Acceleration

s = Distance traveled

By substituting these values in the given equation,

1). Between t = 0 to t = 5 seconds,

(12)² = 0 + 2(2.4)s

s = [tex]\frac{144}{4.8}[/tex]

s = 30 m

2). Between t = 5 to t = 12 sec

Car moved with a constant speed (Acceleration = 0)

Distance traveled = Speed × Time

                             = 12 × 7

                             = 84 m

3). Acceleration of the car between t = 12 sec to t = 15 sec

By substituting the values in the equation,

v = u - at

0 = 12 - a(3)

a = 4 meter per seconds²

Distance traveled in this duration,

v² = u² - 2as

0 = (12)² - 2(4)s

144 = 8s

s = [tex]\frac{144}{8}[/tex]

s = 18 m

Therefore, total distance covered by the car = 30 + 84 + 18

= 132 meters

Answer:

2/4 nd 4/8

Step-by-step explanation:

Extras; 3/6, 5,10, 6/12

Answer:

2/4 and 3/6 .

Step-by-step explanation:

Given :-

We need to write two fractions which equals to 1/2 . For that we can multiply the denominator and numerator by same number .

First equal fracⁿ :-

[tex]:\implies[/tex] 1/2 × 2/2 = 2/4

Second equal fracⁿ :-

[tex]:\implies[/tex] 1/2 × 3/3 = 3/6

Answer:

b. 30 > 2d

   15 > d

c. 15/f < 5

   15 < 5f

   5 < f

d. 42 [tex]\leq[/tex] 50 - m

   42 + m [tex]\leq[/tex] 50

   m [tex]\leq[/tex] 8

[tex]24.[/tex]

Step-by-step explanation:

[tex]12 + 2 = 14.[/tex]

[tex]14 + 2 = 16.[/tex]

[tex]16 + 2 = 18.[/tex]

[tex]18 + 2 = 20.[/tex]

[tex]20 + {2}^{2} = 24.[/tex]

Note:- 2² = 2×2 = 4. So, 2² = 4.

Answer:

24

make sure you calculate the answer next time!

Answer:

Step-by-step explanation:

Answer:

20 questions

Step-by-step explanation:

There is 15% of the test left and 3 questions

15/3 = 5

85/5 = 17

17+ 3 = 20

Answer:

7,000,000

Step-by-step explanation:

Limit of a function:

The limit of a function is finding looking at it's lateral limits.

If the lateral limits are equal:

The limit exists.

[tex]\lim_{x \rightarrow a} f(x) = \lim_{x \rightarrow a^{+}} f(x) = \lim_{x \rightarrow a^{-}} f(x)[/tex]

If lateral limits are different:

That is:

[tex]\lim_{x \rightarrow a^{+}} f(x) \neq \lim_{x \rightarrow a^{-}} f(x)[/tex], then the limit does not exist.

In this question:

To the left of 1, that is, 0.9999....

[tex]\lim_{x \rightarrow 1^{-}} g(x) = 7,000,000[/tex]

To the right of 1, that is, 1.0001...

[tex]\lim_{x \rightarrow 1^{+}} g(x) = 7,000,000[/tex]

Since the both limits are the same, the limits exists and it's value is of  7,000,000.

Answer:

D

Step-by-step explanation:

It shows it in the quwestions image

Answer:

125.........................

Answer:

125

Step-by-step explanation:

Rewrite:

25^1.5=125

Answer:

LINE GRAPH : the profits of a company over a year

SCATTER PLOT : a person's income based on age

CIRCLE GRAPH : percent of student athletes in each sport

BAR GRAPH: the numbers and types ofdifferent species of fish at an aquarium

Step-by-step explanation:

The scatter plot are useful when trying to create a graphical relationship between two measured variables, like the camparison or relationship between age and income.

Line graph is used to monitor changes in a certain variable over time. Observing the fluctuation or variation in income over a certain period.

The circle graph represents the segmentation of a whole into groups or categories with each segment representing a proportion or percentage of the whole.

The bar graph also useful for categorization using vertical bars.

Answer:

0.5

Step-by-step explanation:

To find the rate of change, we can use the slope formula of [tex](y^2-y^1) / (x^2-x^1)[/tex].

Plugging in the first two points gets us:

[tex](1 - .5) / (1-0)[/tex]

[tex]0.5 / 1[/tex]

[tex]0.5[/tex]

That is your rate of change.

Answer:

I hope this helps you hehehe :)

Step-by-step explanation:

=√256

=√4×4×4×4

=√4^4

=44/2

=4^2

=16

Answer:

a. 3/4

Step-by-step explanation:

6:8

=6/8

=3/4

Hope it Helps

answer: rhe answer is 90

Answer:

x=anything less than 7

x=5

x=-2

x=-7

x= anything less than 7

Step-by-step explanation:

Answer:

131.5

Step-by-step explanation:

To find the area of the rectangle, we multiply the base and the height.

In this case, the base is 8 and the height is 13 I think. ( Your picture cuts it off very poorly)

8 x 13 = 104

Now, we need to find the area of the triangle. It is the same equation as the rectangle but we divide the result by 2.

11 * 5 = 55

55/2 = 27.5

27.5 + 104 = 131.5

If it's wrong, it's probably because of the picture. I can't tell what the height is of the rectangle, because it's certainly not 3.

Answer:

Let the number of beads = x

Sum of the ratio = 11

a) fraction of yellow beads :

                              [tex]\frac{11}{15} \ of \ x \\[/tex]

b) given there are 75 beads , x =75

# of yellow beads =

                      [tex]\frac{11}{15}*75 = 55\\[/tex]

#of green beads =

                     [tex]\frac{4}{15} *75 = 20[/tex]

Number of green beads = 20

c) After adding more beads.

Given yellow beads = 3 times as many green = 3×20 = 60

Gabby added  more yellow beads.

Answer:

The radius of the cylinder is 13.0 inches.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex] V = \pi r^{2}h [/tex]

Where:

V: is the volume = 4775.94 in³

r: is the radius =?

h: is the height = 9 in

Hence, by solving the above equation for "r" we have:

[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]                    

Therefore, the radius of the cylinder is 13.0 inches.

I hope it helps you!

Option D. The simulation design that Ajay can use to estimate the probability would be Random digits Let 1,2 = rock Let 3,4,5,6,7,8,9,0 = pop select three digits. repeat​.

The number cube has being said to be made up of six digits. The digits are said to be assigned in pairs of three.

Hence we are going to have a case of 1/3. This is what can then be used to model the probability.

Read more on simulations here:

https://brainly.com/question/15892457

#SPJ1

9514 1404 393

Answer:

  (a)  (-3/4, 1/2)

Step-by-step explanation:

There are 4 grid lines between 0 and 1 in each direction, so each grid line represents 1/4 unit. Two of them is 1/2 unit; 3 of them is 3/4 unit. The x-dimension is listed first in the ordered pair.

Point S has coordinates (-3/4, 1/2).

Answer:

8x+260=-5x+650

8x+5x=650-260

13x=390

x=390/13

x=30

Step-by-step explanation:

Step-by-step explanation:

8x+5x=650-260

13x=390

X=30

Answer:

12

Step-by-step explanation:

h(3)=3x2 + 2x3 = 6+6 = 12

Answer:

[tex]h(p) = {p}^{2} + 2p \\ h(p) = p(p + 2) \\ h(3) = 3(3 + 2) \\ = 3 \times 5 \\ = 15[/tex]

[tex] \small{ \star{ \underline{ \blue{ {becker}}}}}[/tex]

Answer:

Step-by-step explanation:

From the given information:

There are 30 collections of gems, of which 8 are worthless;

Thus, the number of the genuine diamonds = 30 - 8 = 22.

Let X = random variable;

X consider the value as 0 (for  2 worthless stone selection),

X = 1200(1 worthless stone  & 1 genuine stone)

X = 2400 (2 genuine stones selected)

However, the numbers of ways of selecting and chosen Gems can be estimated as:

[tex](^n_r) = (^{30}_2) \\ \\ \implies \dfrac{30!}{2!(30-2)!} \\ \\ \implies \dfrac{30!}{2!(28)!} \\ \\ \implies \dfrac{30*29*28!}{2!(28)!} \\ \\ \implies \dfrac{30*29}{2*1} \\ \\ \implies 435[/tex]

Thus;

[tex]Pr (X = 0) = \dfrac{(^8_2)}{435}[/tex]

[tex]Pr (X = 0) = \dfrac{\dfrac{8!}{2!(8-2)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7*6!}{2!(6)!}}{435} \\ \\ Pr (X = 0) = \dfrac{\dfrac{8*7}{2*1}}{435} \\ \\ Pr (X = 0) = 0.0644[/tex]

[tex]P(X =1200) = \dfrac{(^{8}_{1})(^{22}_{1})}{435}[/tex]

[tex]P(X =1200) = \dfrac{ \dfrac{8!}{1!(8-1)!}) ( \dfrac{22!}{1!(22-1)!}) }{435}[/tex]

[tex]P(X =1200) = \dfrac{ (8) ( 22) }{435}[/tex]

[tex]P(X =1200) =0.4046[/tex]

[tex]Pr (X = 2400) = \dfrac{(^{22}_2)}{435}[/tex]

[tex]Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(22-2)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22!}{2!(20)!}}{435} \\ \\ Pr (X = 2400) = \dfrac{\dfrac{22*21*20!}{2!(20)!}}{435} \\ \\ Pr (X =2400) = \dfrac{\dfrac{22*21}{2*1}}{435} \\ \\ Pr (X = 2400) = 0.5310[/tex]

To find E(X):

E(X) = (0 × 0.0644) + (1200 × 0.4046)  + (2400 × 0.5310)

E(X) = 0 + 485.52 + 1274.4

E(X) = 1759.92

Answer:

80

Step-by-step explanation:

18^2 + 80^2 = 82

324 + 160 = c^2

Answer:

80 cm

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem which is a^2 + b^2 = c^2. We are given that a = 18, and c as the hypotenuse equals to 82. We can plug these numbers into the theorem:

18^2 + b^2 = 82^2

324 + b^2 = 6724

b^2 = 6400

b = 80 cm

Answer:

there isn't any choices but 6/12+1/12=7/12

or 4/12+3/12=7/12

hope this helps

have a good day :)

Step-by-step explanation:

Answer: b^3+ 64b^2 - b/16 -4

Step-by-step explanation:

Answer:

I'm g(=)0 hope you get the point now.

Answer:

B

Step-by-step explanation:

I got it right