A sapling that started out 13.63 inches tall grew 2.41 inches per year. How tall was the sapling when it was 14 years old?

Answer:

See below.

Step-by-step explanation:

An inverse function has the x and y coordinates switched. For example, if a function has point (1, 3), then the inverse function has point (3, 1).

Let's find the ordered pairs of the inverse function. We take all the ordered pairs of the original function:

(1, 3), (7, 4), (8, 6), (9, y)

Now we switch x and y in each ordered pair to come up with the inverse function.

The inverse function has these ordered pairs:

(3, 1), (4, 7), (6, 8), (y, 9)

For a relation to be a function, a value used as an x-coordinate can appear only once.

The last ordered pair is (y, 9). For the inverse relation to be a function, y cannot be 3, 4, or 6.

Answer:

inverse of ordered pair (1,3),(7,4),(8,6)and (9,y)

is (3,1),(4,7),(6,8)and(y,9)

restriction is

y≠3,4&8

Answer:

this should be the graph.

Step-by-step explanation:

I hope this helps.

Answer:

51.33 cm

Step-by-step explanation:

154cm / π = 51.33 cm

Answer:

0.0009 probability of obtaining exactly 1 head

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is a head, or it is not. The probability of a toss being a head is independent of any other toss. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A fair coin is tossed 14 times.

Fair coin means that it is equally as likely to be heads or tails, so [tex]p = 0.5[/tex]

14 times means that [tex]n = 14[/tex]

What is the probability of obtaining exactly 1 head?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.0009[/tex]

0.0009 probability of obtaining exactly 1 head

Answer:

x = 45°

Step-by-step explanation:

x = 90° - 45° = 45°

Answer:

D. The mean is 52.

Step-by-step explanation:

In order to find the mean, you add up all of the numbers and then divide that answer by how many numbers there are.

43+50+60+36+47+52+78=416

416/8=52

Answer:

D. The mean is 52.

Step-by-step explanation:

Add all numbers in the set:

36+47+50+50+52+60+78= 416

Now, divide the sum by how many numbers are in the set; in this case, there are 8 numbers so:

416÷ 8= 52

Answer:

Expression that is to be deducted will be (6x + 3).

Step-by-step explanation:

Let the linear expression that is to be subtracted from the given expression (5x + 3) is (ax + b).

After subtracting (ax + b) from (5x + 3) the remainder is (-x)

(5x + 3) - (ax + b) = -x

(5x - ax) + (3 - b) = -x

(5 - a)x + (3 - b) = -x

By comparing coefficients,

(5 - a) = -1

a = 5 + 1

a = 6

(3 - b) = 0

b = 3

Therefore, expression that is to be deducted from (5x + 3) will be (6x + 3).

Answer:

it is 1 I agree

Step-by-step explanation:

I don't know tho

Answer: yes

Step-by-step explanation: think about it

Answer:

B is the answer.

Step-by-step explanation:

Use power rule: (x^a)^b = x^ab.

[tex] {6}^{21} [/tex]

Answer:

b. 6²¹

Step-by-step explanation:

(6⁷)³=(6³)⁷===> 6²¹

Answer:

the volume is Pie X Y^-3= 6 + 7/2 which means the surface area is half of Pie/12

Step-by-step explanation:

i don't know there's no picture

Answer:

lol fr im failing math i need help

Step-by-step explanation:

Answer:

Thanks

Step-by-step explanation:

yuh

Answer:

100°

Step-by-step explanation:

If my calculations are correct, I suppose the final answer will be 100 degrees.

If you see it, It's clearly mirrored.

Step-by-step explanation:

.............,.,.,.,.,.,.,.,

Answer:

negative 5

Step-by-step explanation:

4-9= -5

Answer: its cubic

Step-by-step explanation:

The graph below is an example of a cubic type of function. Option C is correct.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

1. A parabola is the graph of a quadratic function. As a result, the presented graph is not a quadratic function graph.

2. A straight line is represented by a linear function. As a result, the presented graph is not a linear function graph.

3. A cubic function's end behavior is opposite at both ends. We can see that the presented graph satisfies these requirements.

4. A square root function's graph resembles a half parabola. As a result, it can't be the graph of the square root function.

The graph below is an example of a cubic type of function.

Hence,option C is correct.

To learn more about the function refer:

https://brainly.com/question/5245372

#SPJ2

Answer:

So, equation y=7 is parallel to x-axis. A line parallel to X axis. x axis because it is the same thing as y=0x+7 or y=7, therefore y intercept is 7 and slope is 0.

Step-by-step explanation:

Answer:

17 days

Step-by-step explanation:

Number of days in which 3 men can finish a house repair job = 10 days

Number of days in which 1 man can finish a house repair job = [tex]\frac{10}{3}[/tex] days

Therefore,

Number of days in which 5 men can finish a house repair job = Number of days in which 1 man can finish a house repair job × 5

[tex]=\frac{10}{3}(5)=\frac{50}{3}=16.6[/tex] ≈ 17 days

Answer:

The length of the side TU is approximately 29.9 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that [tex]\frac{sin(90^{o})}{x} =\frac{sin(42^{o})}{20}[/tex] ⇒ [tex]\frac{x}{sin(90^{o})} = \frac{20}{sin(42^{o})}[/tex] ⇒ [tex]x=\frac{20*sin(90^o)}{sin(42^{o})}[/tex] ⇒ [tex]x=29.9ft.[/tex]

Answer:

20 days

Step-by-step explanation:

Subtract 1.5 gallons from 14 gallons to obtain the number of days the car will run without the warning light going on:  12.5 gallons.

Dividing this result by 0.6 gallons/day, we get

 12.5 gal

------------------- = 20.82 days.  Round this down to 20 days.  (We're not

 0.6 gal/day                                dealing in partial days.)

Answer:

2

Step-by-step explanation:

Answer:

x = -3, x = 2

Step-by-step explanation:

x² + 3 = -x + 9

x² + x - 6 = 0

(x+3)(x-2) = 0

Answer:

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

Step-by-step explanation:

Answer:

9 x^2 + 24 x + 16 or (3 x + 4)^2

Step-by-step explanation:

Simplify the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

Answer: |

| (3 x + 4)^2

or

Expand the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

(3 x + 4)^2

(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):

3 3 x x + 4 3 x + 4 3 x + 4 4

3 x×3 x = 3×3 x^2:

9 x^2 + 4 3 x + 4 3 x + 4 4

3×3 = 9:

9 x^2 + 4 3 x + 4 3 x + 4 4

4×3 = 12:

9 x^2 + 4 3 x + 12 x + 4 4

4×3 = 12:

9 x^2 + 12 x + 12 x + 4 4

4×4 = 16:

9 x^2 + 12 x + 12 x + 16

Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:

9 x^2 + (12 x + 12 x) + 16

12 x + 12 x = 24 x:

Answer: |

| 9 x^2 + 24 x + 16

Answer:

80

Step-by-step explanation:

so 77 but you round it to 80 (sorry i dont know how to explain it that well but its 80)

Answer:

7 and -6   (corresponding to Answer C)

Step-by-step explanation:

Solve x(x - 1) = 42 for x.  

To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:

x^2 - x - 42 = 0

Factoring yields (x - 7)(x + 6) = 0,

leadng to roots 7 and -6   (corresponding to Answer C)

Answer:

x wouild equal

ywould equal

Step-by-step explanation:

eqaution

Answer: 10 + 10 + 5 + 5 + 20 + 20 + 25 + (25 - 10) = 110

Step-by-step explanation:

I think this is correct

Answer:

If anders flips one coin, he has a 1/2 chance of heads.

if he flips two, he has to get to heads, which the chances are 1/2 and 1/2

So multiply 1/2*1/2

you get 1/4