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:

18.6 cm²

Step-by-step explanation:

99/7 + 9/2

= 18.6 cm²

Answer:

Terminal point: (√3/2, 1/2); tan θ = √3/3

Step-by-step explanation:

The terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

θ = π/6

Taking tan on both sides:

tanθ = tanπ/6 = 1/√3 = √3/3

Terminal points:

= (cosπ/6, sinπ/6)

= (√3/2, 1/2)

Thus, the terminal point is (√3/2, 1/2) and the value of tanθ is √3/3 option (A) is correct.

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Answer:

f(x) = a(1 + r)x f(x) = 100000(1+0.04)^10 = 148,024 I believe

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

1/2*1/2

Answer:

he must score 32 points in the next game in order to average 14 points per game.

Step-by-step explanation:

14 x 6 = 84

84-(13+10+14+9+6)=32

checking:

32 + 13 + 10 + 14 + 9 + 6 = 84

84 divided by 6 = 14

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer:

5.07 a little late but oh well

Step-by-step explanation:

Answer:

.2(x+1)(x+5)

Step-by-step explanation:

Well first lets start with the x intercepts which are -1 and negative 5 so the equation must be either -0.2(x+1)(x+5) or .2(x+1)(x+5)

Notice how the graph is going upwards this means the number in front of the equation -.2 or .2 must be positive making .2(x+1)(x+5) this is because if .2 was negative the graph would be going downwards

Step-by-step explanation:

Suppose the persons are a, b, c, d, e, f and g.

Let us also assume that a and b always sit together.

Let us then put the remaining 5 persons in a circular arrangement. It can be done in (5–1)! = 4! = 24 ways. Now, the pair (a,b) can be placed between any two persons already placed in circular order. There are 5 such gaps. Finally the pair (a,b) can be placed in two ways viz. (a,b) and (b,a).

So, total number of ways a group of 7 persons can be seated around a circular table where 2 specified persons always sit together is 24 X 2 X 5 = 240

Answer:

65

Step-by-step explanation:

115-180=65 degrees

Answer:

68+47+x= 180

x=180-115

x=65

Answer:

23

Step-by-step explanation:

83+3x+90+x+95= 360

4x= 360-83-90-95

4x= 92

x= 23

Answer:

B. Right angles

Step-by-step explanation:

When perpendicular lines intersect, they create 90° angles (aka right angles)

Answer: 65.22%

Step-by-step explanation: 15 is more than half of 23 which means it can’t be the other options because the others aren’t more than half.

65.22 % of teachers ordered the salad bar

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

According to the question

A school cafeteria offers three lunch options on Mondays:

Spaghetti, sub sandwiches, or salad bar.

Percentage of teachers ordered the salad bar

Total number of teachers = 23

Total number of teachers ordered the salad bar = 15

= [tex]\frac{15}{23}[/tex]

= 0.6522

= 65.22%

Thus, 65.22 % of teachers ordered the salad bar

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Answer:

x= 3

Step-by-step explanation:

Given data

Ratio= 5:2:x

Combined ratio= 5+2+x

                        = 7+x

Total amount of money= $15000

Let us apply the part to all method

Hence for Matthew whose share = $7500

5/7+x=  7500/15000

Cross multiply we have

7500*(7+x)= 15000*5

52500+7500x= 75000

Collect like terms we have

7500x= 75000-52500

7500x=22500

x= 22500/7500

x=3

Hence the value of x= 3

Answer:

area of a square= length ²

area of a rectangle=length*breadth

area of parallelogram=base *height

Answer:

A. x < 2

Step-by-step explanation:

Open and closed circles are used to mark the end points of intervals. If the circle is open, it means the end point is NOT included in the interval, but if the circle is closed, it means the end point is included. Consider the interval . In this interval, the low endpoint, the 3, is not included because you have a 'less than' sign.

Answer: 1 is consecutive interior, 2 is corresponding, 3 is alt interior, and 4 is alt exterior

Step-by-step explanation: above

Answer:

113.1

Step-by-step explanation:

i just did the math

Answer:

113.1 is the answer

I just multiplied

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ...  ·  g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 2/3

Multiply the 4 and 3 together to get 12

Then you add the 12 to the 2 to get 14

Therefore, it'll take 14  1/3 cups.

Answer:

21 hours

Step-by-step explanation:

After 2 hours the temperature has risen to 7°f

The time taken to rise to an additional 13°f can be calculated as follows

1 hour takes 3.5°f

13°f = 3.5×6

= 21 hours

Hence it would take 21 hours

Answer:

x= 1

Step-by-step explanation:

sinceΔABC =ΔDEF

Therefore

4x-1 will be equal to x+2

then x = 1

Answer:

this so hard

Step-by-step explanation:

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Answer:

top 8, middle 7, 16, bottom 13

Answer:

-19

Step-by-step explanation:

1) substitute a with 2 and b with 5

(3 + 2)^2 * (4-5) + √36

2) solve the brackets and the square root

(5^2) * (-1) + 6

3) solve the power

25 *(-1) + 6

4) solve the multiplication

-25 + 6

5) solve the sum

- 19

Answer:

-19

Step-by-step explanation:

i got the answer right

Answer:

Since every 30 days  he  wil have both lessons on the same day , and  he already  had both lessons on the last day of the previous month, that means that the day 30  the current month   he  wil have both lessons on the same day (It may be the last day if the month has 30 days or it may not be the last day if the month has 31 days)

Step-by-step explanation:

Lets find the least common factor of 5 and 6

Multiples of 5

5  10  15  20  35  30  35  40......

Multiples of 6

6  12  18  24  30 36  

LCF of 5 and 6 = 30

Every 30 days  he  wil have both lessons on the same day

Answer:

option 2...........…..