A park is studying how its population of deer grows over time. The regression line of their data is y = 15x+ 1200, where x represents the
number of years since the study began and y represents the number of deer.
What does the slope of the regression line represent?
A The deer population will reach 1, 200 in 15 years.
B The deer population grows by 1, 200 every 15 years.
C There were 15 deer in the park at the beginning of the study.
D. For every 1 year, the deer population increased by an average of 15.
E For every 1 year, the deer population increased by an average of 1,200

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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A

Hope it helps bye :)

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

Specificity and memory are two crucial properties that determine adaptive immunity. Both specificity and memory pertain to the adaptive immune system's capacity to recognize and attack certain diseases, as well as to promptly react to pathogens to which it has already been exposed.

Adaptive immunity can offer an enduring defense, perhaps for the duration of a person's lifespan. In certain circumstances, such as with chickenpox, it does not confer permanent protection; for instance, a person who recovers from measles is now protected against measles for the rest of their life.

Specificity, diversity, specialization, memory, and self/non-self identification are the immunologic characteristics that define adaptive immunity, and these cells both create and show antigen-binding cell surface receptors.

The property of adaptive immunity enables a person to have the chicken pox when he or she is six years old and still be immune to chicken pox at age 45 exists Memory.

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Answer:

1. 400y + 8

2. 40y +8

3. 16y + 8

The value of p-hat (the sample proportion) is 0.24, or 24% if total number of skittles in a sample is 300 out of which 72 skittles are purple.

The sample proportion, denoted by p-hat, is the proportion of purple skittles in the sample. We can calculate p-hat by dividing the number of purple skittles by the total number of skittles in the sample

p-hat = number of purple skittles / total number of skittles in sample

In this case, we have

Number of purple skittles = 72

Total number of skittles in sample = 300

Therefore,

p-hat = 72/300 = 0.24

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i think the answer is c hope this helps

Answer:

Some DNA tests analyze the mitochondria instead of the nucleus of a cell.

If the Small helicopters weigh 2 pounds each and are shipped in a container that weighs 20 pounds. Large helicopters weigh 4 pounds apiece and are shipped in a container that weighs 10 pounds. then both containers can fit 10 small helicopters or 5 large helicopters.

           If these boxes can hold the same number of helicopters, all of the packed containers will have the same shipping weight. Therefore, the same number of helicopters will fit in either container. To calculate the number of helicopters that can fit in each container, divide the container weight by the weight of the helicopter.

For small helicopters: 20 lbs / 2 lbs = 10 helicopters

For large helicopters: 10 lbs / 4 lbs = 5 helicopters

              Therefore, both containers can fit 10 small helicopters or 5 large helicopters.

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Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Step-by-step explanation:

given the expression

\(x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)\)

we proceed by opening the brackets

\(x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\\)

collet like terms we have

\(x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4\)

factoring we have

\(8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4\)

Answer:

C=2πr

Step-by-step explanation:

The circumference is the total distance around the circle.

C=πd but d = 2r.

:.C=2πr.

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (6, - 12 ) and (x₂, y₂ ) = (15, - 3 )

m = \(\frac{-3-(-12)}{15-6}\) = \(\frac{-3+12}{9}\) = \(\frac{9}{9}\) = 1

Answer:

\(\large \boxed{\sf \bf \ \ \ D. \ \$ 176 \ \ }\)

Step-by-step explanation:

Hello, please consider the following.

After 5 years, we will get

\(120*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)\\\\=120*(1+8\%)^5\\\\=120\cdot 1.08^5\\\\= 176.3193...\)

Thank you

Answer:

B- 3 1/3 cups

Step-by-step explanation:

4 servings = 2/3

20 = 4×5

20 servings = 2/3 × 5

=3.33

= 3 1/3

(I'm not 100% sure, this is just what I got! Hope it helps :) )

Answer:

a42

Step-by-step explanation:

u add multiply and divide

Answer:

x=-64

Step-by-step explanation:

Divide both sides by -0.25. You get:

8+x=-56

Subtract 8 from both sides. You get:

x=-64

Step-by-step explanation:

so her minimum 4th score is calculated this way:

\( \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230\)

so in round four

her score should be x in the way that:

x≥230

If the man had put $17 in the bank at 3% interest compounded continuously, then the formula for finding the final amount is A = Pe^(rt),   Therefore, the $17 would have been worth $396.44 in 2005 if it was put in the bank at 3% interest compounded continuously.

where A is the final amount, P is the initial amount, e is the mathematical constant, r is the interest rate, and t is the time in years.
Using this formula, we can calculate the value of $17 after 341 years (2005-1664). Plugging in the values, we get:
A = 17e^(0.03*341)
A = $396.44
Therefore, the $17 would have been worth $396.44 in 2005 if it was put in the bank at 3% interest compounded continuously.
In 2005, the $17 investment in 1664 at a 3% interest rate compounded continuously would be worth $D. To calculate this, we can use the formula for continuous compounding:
A = P * e^(rt)
Where:
A = the future value of the investment
P = the principal amount ($17)
e = the base of the natural logarithm (approximately 2.718)
r = the annual interest rate (0.03)
t = the number of years (2005 - 1664 = 341 years)
A = 17 * e^(0.03 * 341)
A ≈ 17 * e^10.23
A ≈ 17 * 27769.3
After rounding to the nearest dollar, the value of the investment in 2005 would be approximately $472,178.

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There are several theorems that are necessary for AP Calculus BC including: Fundamental Theorem of Calculus, Mean Value Theorem, Intermediate Value Theorem, Extreme Value Theorem, and Rolle's Theorem.

Calculus is a branch of mathematics associated with the study of instantaneous rates of change (differential calculus) and the summation of infinitely smaller factors to calculate some whole (integral calculus). The theorems that are necessary for AP Calculus BC are:

1. The Fundamental Theorem of Calculus: This theorem relates the derivative and the integral of a function. It is used to calculate definite integrals and is a crucial part of calculus.

2. The Mean Value Theorem: This theorem states that if a function is continuous on a closed interval and differentiable on an open interval, then there exists a point in the interval where the derivative is equal to the average rate of change of the function over the interval.

3. The Intermediate Value Theorem: This theorem states that if a function is continuous on a closed interval, then it takes on every value between its minimum and maximum values on that interval.

4. The Extreme Value Theorem: This theorem states that if a function is continuous on a closed interval, then it has both a maximum and minimum value on that interval.

5. Rolle's Theorem: This theorem is a special case of the Mean Value Theorem and states that if a function is continuous on a closed interval, differentiable on an open interval, and has the same value at the endpoints of the interval, then there exists a point in the interval where the derivative is zero.

These theorems are essential for understanding and solving problems in AP Calculus BC.

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Answer:

The answer is 4/45 lbs

Step-by-step explanation:

To solve, simply divide 2/3 by 7 1/2.

(2/3)/ (15/2)

When you divide fractions, you need to flip the second one, then multiply.

(2/3)*(2/15)

Multiply across.

4/45

The weight of Samantha's purchase is 4/45 pounds

Answer:

if you're doing the I-ready hope this help

Step-by-step explanation:

The equation of the line parallel to y=4x+4 and passing through the point (5,4) is y = 4x - 16.

The line that is parallel to y=4x+4 and passing through the point (5,4) can be found by following the steps below:

Step 1: Determine the slope of the given line since the parallel line will have the same slope.

The slope-intercept form of a line is given by y=mx+c where m is the slope of the line and c is the y-intercept of the line. The given line is y=4x+4 which means its slope is 4.

Therefore, the slope of the line that is parallel to y=4x+4 is also 4.

Step 2: Use the point-slope form of a line to find the equation of the line.

The point-slope form of a line is given by y-y₁=m(x-x₁) where m is the slope of the line and (x₁,y₁) is the point on the line.

Using the point (5,4) and slope of 4, the equation of the line can be written as:y-4 = 4(x-5)

Simplifying:y-4 = 4x - 20y = 4x - 20 + 4y = 4x - 16

Therefore, the equation of the line parallel to y=4x+4 and passing through the point (5,4) is y = 4x - 16.

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Answer:

4:1, 6:2, 12:3, 24:6

Step-by-step explanation:

24 boy

6 girls

possible ratio

24 ÷ 6 = 4

6÷ 6 = 1

4 : 1

24 ÷ 3 = 6

6 ÷ 3 = 2

6 : 2

24 ÷ 2 = 12

6 ÷ 2 = 3

12 : 3

24 ÷ 1 = 24

6 ÷ 1 = 6

24 :6

Answer:

Step-by-step explanation:

Answer: A=38.48

Step-by-step explanation:

A=πr^2

7/2=3.5

3.5x3.5=12.25

12.25π

38.48

Hope this helps! :)

Answer:

Put one dot at (0,3) and the other dot at (1,0)

Step-by-step explanation:

Let x = 0

6x + 2y = 6

6(0) + 2y = 6

2y = 6  Divide both sides by 2

y = 3

(0,3)

Let y = 0

6x + 2y = 6

6x + 2(0) = 6

6x = 6  Divide both sides by 6

x = 1

(1, 0)

The answers are below:

{X = 6, Y = -3}

Note: The first image is how to solve for Y. The second image is how to solve for X.

Answer:

I think maybe it is the answer please double check before you write it

Step-by-step explanation:

please make me as brainliest

Answer:

The statement is;

The polynomial function has 3 roots with 2 being real roots and 1 being a complex root

Step-by-step explanation:

Here, we want to state the description of the number and nature of all roots for this function.

The statements are;

1. The polynomial have three roots

2. There are 2 real roots and 1 complex root

Answer:

A

Step-by-step explanation:

on edg 2020!

Answer:

2nd box 2/5y and -0.2y

last box -6 and -2

Step-by-step explanation:

Answer:

\(6:2,\,9:3\)

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is \(3:1\) in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to \(3:1=\frac{3}{1}\)

Multiply both numerator and denominator of \(\frac{3}{1}\) by 2

\(\frac{3(2)}{1(2)} =\frac{6}{2}\)

Multiply both numerator and denominator of \(\frac{3}{1}\) by 3

\(\frac{3(3)}{1(3)} =\frac{9}{3}\)

So, two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe are \(6:2,\,9:3\)