2
One type of redwood tree has an average height of 65 feet when it is 20 years old. If the tree is more than 20 years
old, the average height, h, can be modeled by the function h = 1.95(a - 20) + 65, where a is the age of the tree in
years. Which statement about this situation is true?
A Every additional 1.95 ft of length over 20 ft adds 45 years to the age of this type of redwood tree.
8. For this type of redwood tree, the average height increases by 1.95 ft per year throughout its lifetime.
c. Each additional year of age over 20 years adds 1.95 ft to the average height of this type of redwood tree.
D. For this type of redwood tree, the average height increases by 65 ft for every 20 years of growth.

Answer:

6 feet

Step-by-step explanation:

Volume of a rectangular prism = L × W × H

15 feet × 8 feet × H = 720 feet ³

120H = 720

H = 720 ÷ 120

H = 6 feet

Answer:

I think 300 plz don't crit me if I got it wrong

Step-by-step explanation:

Answer:

my opinion is A hope it helps

Answer: B- Members of A are even numbers, and members of B are odd numbers.

Step-by-step explanation:

Answer:

3, 9, 15, 21

Step-by-step explanation:

6n-3

n = 1: 6(1) - 3 = 3

n = 2: 6(2) - 3 = 9

n = 3: 6(3) - 3 = 15

n = 4: 6(4) - 3 = 21

Answer:the ages of the youngest and the eldest is 4 years and 20 Years respectively

Step-by-step explanation:

Ratio of the ages of three children is 2:5:1.

Total ratio =2+5+1=8

So that

the 1st Child's age =2/8 x 32=8  years

2nd  Child's age =5/8 x 32= 20 years

3rd Child's age =1/8 x 32= 4  years

Therefore the ages of the youngest and the eldest is 4 years and 20 Years respectively.​

Answer:

d

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

Answer:

1. y = x + 9

2. y = 4x

3. y = -1/3x

4. x = y + 4  

5. x + 2y = 10  

Answer:

304oz

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.

Answer:

im pretty sure its either 1 or 7

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12x12 = 144 per side

144x6 sides = 864

Answer:864

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

B: $14.50

Step-by-step explanation:

8% of $6.72 is $3.74 add that to the pay, and it will be $50.46 then 15% of that is $7.57. Add that to the previous number and you get $58.03, then divide by 4 people and you get $14.50.

Given:

The data values are:

12, 3, 7, 8, 9, 12, 10

To find:

The mean,median ,and mode for the given set of date.

Solution:

We have,

12, 3, 7, 8, 9, 12, 10

Arrange the values in ascending order.

3, 7, 8, 9, 10, 12, 12

Mean of the data set is:

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}[/tex]

[tex]\text{Mean}=\dfrac{3+7+8+9+10+12+12}{7}[/tex]

[tex]\text{Mean}=\dfrac{61}{7}[/tex]

[tex]\text{Mean}\approx 8.7143[/tex]

Number of observations is 7 which is an odd number. So, the median is:

[tex]Median=\dfrac{n+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{7+1}{2}\text{th term}[/tex]

[tex]Median=\dfrac{8}{2}\text{th term}[/tex]

[tex]Median=4\text{th term}[/tex]

The 4th term from the arranged data set is 9.

[tex]Median=9[/tex]

Here, the most frequent number is 12 because it occurs 2 times. So, the mode of the data set is 12.

Therefore, the mean of the data set is 8.7143, median is 9 and mode is 12.

Answer:

Have you gotten the answers yet?

Step-by-step explanation:

Answer:

here you go

Step-by-step explanation:

the second picture is to part D if you can't see it

$12.19

before the tax price is $11.50

and %6 is equal to $0.69

therefore if you add those together you'll get an answer of $12.19

Answer:776

Step-by-step explanation:

Answer:

This is binomial.

Here n = 5

p = 2/7

mean = np = 5*2/7 = 10/7 = 1.42857

standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015

Step-by-step explanation:

Work Shown.

The probability that exactly two of the five students of the class were born on weekend is 0.2975

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

n = 5

The probability that any student was born on weekend, P(W) = (2 / 7)

and, the probability that any student was not born on weekend

P(W') = {1 - P(W)}

        = {1 - (2 / 7)}

        = (5 / 7).

Thus, the probability that exactly two of the five students of the class were born on weekend

= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³

= 10 x {(2 / 7)²} * {(5 / 7)³}

= 10 x (4 / 49) x (125 / 343)

= (5000 / 16807)

≈ 0.2975

Learn more about probability here:

https://brainly.com/question/11234923

#SPJ3

Answer:

D

Step-by-step explanation:

perimeter=2(l+b)

2[(4x+5)+(8x-4)]

2(4x+8x+5-4)

2(12x+1)

24x+2

Answer:

If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.

And the cot (60°) = 1/√3 = √3 /3

And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)

Answer:

Option D.

Step-by-step explanation:

Have a fantastic Day !

Answer:

1a: 6.283

b: 51.313

c: 285.1

Step-by-step explanation:

Area of a sector = (angle/360)πr²

1a

Area=(45/360)π(4²)=6.283

b

Area=(120/360)π(7²)=51.313

c

Area=(270/360)π(11²)=285.1

Answer: for question 2

B

Step-by-step explanation:

23.15

+12.67

------------

35.82

40.00

- 35.82

---------

4.18

Answer:

6 and 8

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

Answer:

[tex]a =\frac{\sqrt 3}{2}[/tex] mi

[tex]b =\frac{1}{2}[/tex] mi

Step-by-step explanation:

Given

The attached triangle

Required

Find a and b

To do this, we make use of the following trigonometry ratio

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

Where

[tex]c = 1[/tex]

So, we have:

[tex]\sin(60) = \frac{a}{c} =\frac{a}{1}[/tex]

[tex]\sin(60) = a[/tex]

[tex]a = \sin(60)[/tex]

In radical form:

[tex]\sin(60) = \frac{\sqrt 3}{2}[/tex]

Hence:

[tex]a =\frac{\sqrt 3}{2}[/tex]

[tex]\sin(30) = \frac{b}{c}[/tex]

[tex]\sin(30) = \frac{b}{1}[/tex]

[tex]\sin(30) = b[/tex]

Rewrite as:

[tex]b =\sin(30)[/tex]

In radical form:

[tex]\sin(30) = \frac{1}{2}[/tex]

Hence:

[tex]b =\frac{1}{2}[/tex]