The Obama family is building a circular swimming pool. If the radius of the pool is 15 feet, What is its circumference? Use I = 3.14 to solve.

The Obama Family Is Building A Circular Swimming Pool. If The Radius Of The Pool Is 15 Feet, What Is

Answers

Answer 1

The formula for circumference is given by

C = pi *d where pi = 3.14 and d is the diameter

We can find the diameter from the radius

d = 2*r where r is the radius

C = pi * 2 *r

C = 3.14 * 2 * 15

C =94.2 ft


Related Questions

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!

Answers

The measure of ∠B AND ∠H is ∠B = 58° and ∠H = 122°

What is parallel lines?

Parallel lines are coplanar, straight lines in geometry that don't cross at any point. When two planes in the same three-dimensional space are parallel, they never cross. Curves that maintain a set minimum distance from one another and do not touch or intersect are said to be parallel curves.

If parallel lines are cut by a transversal , then corresponding angles are equal in measure.

∴ ∠B≅∠F

∠A≅∠E

∠C≅∠G

∠D≅∠H

If parallel lines are cut by a transversal , then interior angles on the same side are supplementary.

∠C+∠E=180°

∠D+∠F=180°

If one of the angles ( let it be ∠E) formed measures 122°, then m∠C=180°-122°=58°.

m∠B=m∠C=m∠F=m∠G=58°;

m∠A=m∠D=m∠E=m∠H=122°.

To learn more about parallel lines from the given link  

https://brainly.com/question/11848535

#SPJ1

Answer:

if angle a measures122 degrees than angle b measures 58 degrees and angle h measures 122 degrees.

Q: what are parallel lines and their angles?

Answer:

Two lines that are stretched into infinity and still never intersect are called coplanar lines and are said to be parallel lines. The symbol for "parallel to" is //.

There are 4 types of angles formed between parallel lines i.e Corresponding angles, alternate angles , Interior angles, adjacent angle

the project is #Spj4

Step-by-step explanation:

What is the approximate Probability of drawing a spade Card from a standard deck of shuffled cards?Group of answer choices1/21/41/5212/52

Answers

Given,

The number of cards in a standard deck is 52.

Required:

The probability of drawing of spade card.

The number of spade card in deck is 13.

Consider,

A is the event of drawing of spade card.

Probability is calculated as:

[tex]Probability\text{ =}\frac{Number\text{ of favourable events}}{Total\text{ events}}[/tex]

Substituting the values then,

[tex]\begin{gathered} P(A)\text{=}\frac{N(A)}{Total\text{ events}} \\ =\frac{13}{52} \\ =\frac{1}{4} \end{gathered}[/tex]

Hence, the probability is 1/4.

For which of the following displays of data is it not possible to find the mean?histogramfrequency tablestem-and-leaf plotdot plot

Answers

Simplify: which of the following displays of data is it not possible to find the mean?

(a) histogram

(b) frequency table

(c) stem-and-leaf plot

(d) dot plot

Explanation: (a) histogram is correct answer because by using histogram it is not possible to find exact mean and median value.

Final answer: (a) histogram data is it not possible to find the mean.

What is the area of this trapezoid? 13 ft Enter your answer in the box. 16 ft ft2 31 ft

Answers

The area of a trapezoid is given as

[tex]A=\frac{1}{2}(a+b)h[/tex]

From the given trapezoid

[tex]a=13ft,b=31ft,h=16ft[/tex]

Substitute the values of a, b, and h into the equation

This gives

[tex]A=\frac{1}{2}(13+31)\times16[/tex]

Calculate the value of A

[tex]\begin{gathered} A=\frac{1}{2}(44)\times16 \\ A=44\times8 \\ A=352 \end{gathered}[/tex]

Therefore the area of the trapezoid is

[tex]352ft^2[/tex]

Answer:

Your answer would be 352ft²

Step-by-step explanation:

I took the test and got 100%

solve the equation Mentally

Answers

Given:-

[tex]\begin{gathered} 8+j=15 \\ \end{gathered}[/tex]

To Find:-

The value of j.

To find the value of j, we need to keep j at one side of the equal to sign and take all other number to the other side of the equal to sign.

[tex]\begin{gathered} 8+j=15 \\ j=15-8 \\ j=7 \end{gathered}[/tex]

So now the value of j has been found. The value of j is 7.

Draw the image of the figure under thegiven transformation.5. 180° rotation6.reflection across the x-axis7. (X,y) - (x - 4, y + 1)8. reflection across the y-axis

Answers

To obtain the 180° rotation, obtain the (-x,-y) coordinates of the given (x,y) coordinates.

The given coordinates of the points are as follows.

[tex]A(3,0),B(1,4),C(5,3)[/tex]

Thus, the new coordinates will be as follows.

[tex]A^{\prime}(-3,0),B^{\prime}(-1,-4),C^{\prime}(-5,-3)[/tex]

Plot the coordinates in a Cartesian coordinate system and then connect the points.

I purchased a subscription to Brainly, but I can't figure out how to use it. I've snapped pictures of the questions, I snapped pictures of the problems. neither works. I get no answers. I can't type in a problem with numerous exponents. I don't know what to do. Can you help?

Answers

Given the functions:

[tex]\begin{gathered} f(x)=3x^{\frac{1}{2}} \\ \\ g(x)=2x^{-\frac{1}{4}} \\ \\ h(x)=6x^{\frac{1}{4}}^{} \end{gathered}[/tex]

Let's solve for h[f(g(x))].

To solve this function operation, let's solve in parts.

First step is to find f(g(x)).

We have:

[tex]undefined[/tex]

John is listing each step of the equation +4 = 10 – 3 폼 5+4= 10 - 3 *5 = +4= 7 c+4= -35 TE -39 What was his mistake?

Answers

Answer:

x+ 4= -35

Explanation:

Given the equation:

[tex]\frac{x}{-5}+4=10-3[/tex]

The next step is:

[tex]\frac{x}{-5}+4=7[/tex]

The next step should have been:

[tex]\begin{gathered} \frac{x}{-5}=7-4 \\ \frac{x}{-5}=3 \end{gathered}[/tex]

Therefore, his mistake was the step below:

[tex]x+4=-35[/tex]

I just really need help I don’t know that much about math I was in special Ed math and got kicked out I just need help and need to be shown what I’m doing

Answers

Given:

15 pounds of barrel

10 gallons of water; 98.4 pounds

20 gallons of water; 181.8 pounds

In order to find the equation and graph that matches this, we need to find the following:

y - intercept

slope of the line

In the problem, it was given that the barrel weighs 15 pounds. Meaning, even in an empty barrel, we already have a total weight of 15 pounds.

We let:

x = gallons of water

y = total weight

This means, at x = 0, y = 15.

y - i

What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed.

Answers

Problem

What linear equation represents the graph of a horizontal line, parallel to the Z-axis, that travels through the point (0,4)? Use the grid or a piece of paper if needed. ​

Solution

for this case the general equation of a plane is given by:

A(x-xo) + B(y-yo) + C(z-zo)=0

C=0 for this case

A(x-xo) + B(y-yo) =0

And for this case one possible answer would be:

y=4

Professional athletes are some of the highest paid people in the world. The average major league baseball player's salary has climbed from $1,998,000 in 2000 to $2,866,500 in 2006

Answers

Answer:

[tex]L(y)=144750y+1998000[/tex]

The slope means that each year the average professional baseball player's salary increased by $144,750 for every year after 2000.

The y-intercept means that in year 0 (2000) the average professional baseball player's salary was $1,998,000

The predicted average salary in 2007 is $3,011,250

(b)

[tex]E(y)=1998000\cdot1.062^y[/tex]

The initial value represents the average professional baseball player's salary in year 0 (2000), which was $1,998,000.

The growth factor means that the rate of change increases each year by 1.062 times the previous year's increase.

The predicted average salary in 2007 is $3,044,233.94

Explanation:

The problem gives us two pieces of information:

In year 2000, we call t = 0, the average salary was $1,998,000

In year 2006, we call t = 6, the average salary was $2,866,500

If we want to make a function of the average salary variation over the years, we have two points that must lie in the equation of that function:

(0, 1998000) and (6, 2866500)

For (a) we need to assume that is linear growth. The equation of a line is:

[tex]y=mx+b[/tex]

Where:

m is the slope

b is the y-intercept. In this case, since we established the year 2000 as t = 0, b = 1998000

Given two points P and Q, we can find the slope by the formula:

[tex]\begin{gathered} \begin{cases}P=(x_P,y_P){} \\ Q=(x_Q,y_Q)\end{cases} \\ . \\ m=\frac{y_Q-y_P}{x_Q-x_P} \end{gathered}[/tex]

Then, if we call:

P = (0, 1998000)

Q = (6, 2866500)

[tex]m=\frac{2866500-1998000}{6-0}=\frac{868500}{6}=144750[/tex]

Thus, the equation of the linear growth model is:

[tex]L(t)=144750t+1998000[/tex]

Now, we can use this to find a prediction for 2007. 2007 is 7 years since 2000; thus t = 7

[tex]L(7)=144750\cdot7+1998000=1013250+1998000=3011250[/tex]

In (b) we assume an exponential growth. The formula for the exponential growth is:

[tex]y=a(1+r)^t[/tex]

Where:

a is the initial value. In this case, the average salary in 2000, $1,998,000

r is the ratio of growth. We need to find this value

t is the time in years

Then, we can use the point (6, 2866500), and the fact that a = 1998000:

[tex]2866500=1998000(1+r)^6[/tex]

And solve:

[tex]\begin{gathered} \frac{2866500}{199800}=(1+r)^6 \\ . \\ \sqrt[6]{\frac{637}{444}}=1+r \\ . \\ 1.062=1+r \end{gathered}[/tex]

We call the term "1 + r" growth factor.

Now, we can write the formula:

[tex]E(t)=1998000\cdot1.062^t[/tex]

To find a prediction of the average salary in 2007, we use the function and t = 7:

[tex]E(7)=1998000\cdot1.062^7=1998000\cdot1.5236=3044233.937[/tex]

-4x - 3 = -11x + 16

Answers

Solving an equationInitial explanation

We want to find which value must have x, so this equation is true:

-4x - 3 = -11x + 16

In order to solve the equation for x, we want to "leave it alone" on one side of the equation.

In order to do that we just have to remember one simple rule:

Finding x

Step 1- taking all the terms with x to one side

We are going to take all the terms with x to the left side:

-4x - 3 = -11x + 16

↓ adding 11x both sides

11 x - 4x - 3 = 11x -11x + 16

↓ since 11x - 4x = 7x (left) and 11x - 11x = 0 (right)

7x - 3 = 0 + 16

7x - 3 = 16

Step 2- taking all the numbers to the other side

7x - 3 =16

↓ adding 3 both sides

7x - 3 + 3 = 16 + 3

↓ since -3 + 3 = 0 (left) and 16 + 3 = 19 (right)

7x + 0 = 19

7x = 19

Step 3- leaving x alone on the left side

7x = 19

↓ dividing 7 both sides

7x/7 = 19/7

↓ since 7x/7 = x (left) and 19/7 ≅ 2.7

x ≅ 2.7

Answer: x = 19/7 ≅ 2.7

What is the slope of the linear function given the following table?
х у-3. 6 -2. 51/3-1. 42/30. 43. 2Help please !

Answers

Let's use two points of the table:

[tex]\begin{gathered} (x1,y1)=(-1,3) \\ (x2,y2)=(0,1) \end{gathered}[/tex]

Let's find the slope using the following formula:

[tex]m=\frac{y2-y1}{x2-x1}=\frac{1-3}{0-(-1)}=-\frac{2}{1}=-2[/tex]

Using the point-slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-3=-2(x+1) \\ y-3=-2x-2 \\ y=-2x+1 \end{gathered}[/tex]

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

For the 2nd table:

[tex]\begin{gathered} (x1,y1)=(-3,6) \\ (x2,y2)=(0,4) \end{gathered}[/tex]

Let's find the slope:

[tex]m=\frac{4-6}{0-(-3)}=-\frac{2}{3}[/tex]

Using the point-slope equation:

[tex]\begin{gathered} y-y1=m(x-x1) \\ y-6=-\frac{2}{3}(x+3) \\ y-6=-\frac{2}{3}x-2 \\ y=-\frac{2}{3}x+4 \end{gathered}[/tex]

Krystals a Jewelry business. At a craft market, she boys and sell the bracelets she makes each week The graph below shows her weekly profit from bracelet sales 20 What is the amount of profit, per bracelet?

Answers

To find the amount of profit per bracelet we need to find the slope of the line. The slope is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To find this slope we need two points on the line (whichever points we like). From the graph we select the points

3The number of hours that the employees at the local Fry's grocery store worked last week is normallydistributed with a mean of 28 hours and a standard deviation of 4. What percentage of employees workedbetween 24 and 36 hours?Answer:

Answers

We can solve this question by using the fact that a normal distribution is symmetric and using the empirical rules. The empirical rules are

• 68% of the data falls within one standard deviation of the mean.

• 95% of the data falls within two standard deviations of the mean.

• 99.7% of the data falls within three standard deviations of the mean.

In our problem, the mean is 28 and the standard deviation is equal to 4. Our interval is 24(one standard deviation below the mean) and 36(2 standard deviations above the mean)

[tex](24,36)=(28-4,28+8)=(28-\sigma,28+2\sigma)[/tex]

Our area is the area that falls within one standard deviation of the mean plus the area between one standard deviation and two on the positive side. The first area is 68% of the data, and the second area we can calculate using the fact that a bell curve is symmetric. Since 68% of data falls within one standard deviation and 95% of the data falls within two standard deviations of the mean, the difference between them represents the data that falls between one standard deviation and two standard deviation.

[tex]95-68=27[/tex]

Since the distribution is symmetric, the data that falls between one standard deviation and two standard deviation on the positive side is half of this value.

[tex]\frac{27}{2}=13.5[/tex]

Now, we just add this value to 68% and we're going to have our answer.

[tex]68+13.5=81.5[/tex]

The percentage of employees worked between 24 and 36 hours is 81.5%.

С.c7. The difference of two positive numbers is six. Their product is 223 less than the sum of their squares. Whatethe two numbers?

Answers

Let two unknow positive number is "x" and "y"

Difference of two positive number is 6 that mean:

[tex]x-y=6[/tex]

Their product is 223 less than the sum of their square:

[tex]\begin{gathered} x\times y=x^2+y^2-223 \\ xy=x^2+y^2-223 \end{gathered}[/tex]

Substitute x with variable y:

So,

[tex]\begin{gathered} x-y=6 \\ x=6+y \end{gathered}[/tex]

Put the value of "x" in another equation:

[tex]\begin{gathered} xy=x^2+y^2-223 \\ (6+y)y=(6+y)^2+y^2-223 \\ 6y+y^2=36+y^2+12y+y^2-223 \\ y^2+6y-187=0 \\ y^2+17y-11y-187=0 \\ y(y+17)-11(y+17)=0 \\ (y+17)(y-11)=0 \\ y=-17;y=11 \end{gathered}[/tex]

Given number is positive that mean y=11 and so value of x is:

[tex]\begin{gathered} x=6+y \\ x=6+11 \\ x=17 \end{gathered}[/tex]

So the number is 11 and 17.

Hello,Can you help me with the question in the photo?Thank you,

Answers

Answer:

4, 12, 44, and 173.

Explanation:

Given the recursion formula:

[tex]\begin{gathered} a_n=4a_{n-1}-4 \\ a_1=4,n\geqslant2 \end{gathered}[/tex]

We want to find the first four terms of the sequence.

[tex]\begin{gathered} a_2=4a_{2-1}-4=4a_1-4=4(4)-4=16-4=12 \\ \implies a_2=12 \end{gathered}[/tex]

Similarly:

[tex]\begin{gathered} a_3=4a_{3-1}-4=4a_2-4=4(12)-4=48-4=44 \\ \implies a_3=44 \end{gathered}[/tex]

Finally:

[tex]\begin{gathered} a_4=4a_{4-1}-4=4a_3-4=4(44)-4=176-4=173 \\ \implies a_4=173 \end{gathered}[/tex]

The first four terms of the sequence are 4, 12, 44, and 173.

Which of these expressions represents the product of an irrational number and a rational number being irrational?

Answers

ANSWER

Option B

EXPLANATION

We want to find which of the expressions is in the form:

Irrational number * Rational number = Irrational Number

An irrational number is a number that cannot be expressed as a ratio or fraction of two integers, such as pi or roots.

Options A and C cannot be correct because they each have two irrational numbers multiplying one another.

Simplifying Option D, we have:

[tex]\begin{gathered} 3\cdot\text{ }\sqrt[]{9} \\ \Rightarrow\text{ 3 }\cdot\text{ 3} \\ =\text{ 9 } \end{gathered}[/tex]

The correct option is B, because:

[tex]\begin{gathered} \frac{1}{4}\cdot\text{ }\sqrt[]{44} \\ \frac{1}{4}\cdot\text{ }\sqrt[]{4\cdot\text{ 11}} \\ \frac{1}{4}\cdot\text{ 2 }\cdot\text{ }\sqrt[]{11} \\ \frac{1}{2}\sqrt[]{11} \end{gathered}[/tex]

That is an irrational number that is a product of a rational number and an irrational number.

Therefore, the answer is Option B.

Find the degree of the polynomial f(x) = x6 + x2 + 5x.A.5B.6C.-5D.-6

Answers

[tex]f(x)=x^6+x^2+5x[/tex]

To find the degree of a polynomial identify the greater exponent, that is the degree of the polynomial.

In the given polynomial the greater exponent is 6, then it is degree 6Answer: 6

consider a parabola that intersects the x axis at points (-1,0) and (3,0)

Answers

Given that we only have two points known in the parabola, the best way to determine the equation (having the options already) is to substitute the points on each equation to see which one is true for both points:

[tex]\begin{gathered} y=x^2+3x+2 \\ \text{for (-1,0)}\colon \\ 0=(-1)^2+3(-1)+2 \\ \Rightarrow0=1-3+2=3-3=0 \\ \text{for (3,0)}\colon \\ \Rightarrow0=(3)^2+3(3)+2=9+9+2=20 \end{gathered}[/tex]

As we can see on the previous example, when we substitute the point (3,0), we get a contradiction, since 0=20 can never happen. Working this way we find that the equation y=x^2-2x-3 yields the desired results:

[tex]\begin{gathered} y=x^2-2x-3 \\ on\text{ (-1,0):} \\ 0=(-1)^2-2(-1)+3=1+2-3=0 \\ on\text{ (3,0):} \\ 0=(3)^2-2(3)-3=9-6-3=9-9=0 \end{gathered}[/tex]

Therefore, the equation of the parabola is y=x^2-2x-3

Find the range of the graphed function.A. -9 < y < 5B. y is all real numbers.C. O < y < 10D. y > 0

Answers

The range of a function is all the values that the function can take on the y-axis.

So, the y values of this function are between -9 and 5.

It means that the range is:

A. -9 < y < 5

A high school has 52 players on the football team. The summary of the players weight is given in the box plot approximately what is the percentage of players weighing less than or equal to 194 pounds

Answers

Explanation

We are given the box plot below:

We are required to determine the percentage of players weighing less than or equal to 194 pounds.

We know that a box plot interprets as follows:

Therefore, we have:

[tex]Q_1=194[/tex]

Also, we know that:

[tex]Q_1=\frac{1}{4}\text{ }of\text{ }100\%=25\%[/tex]

Hence, the percentage of players weighing less than or equal to 194 pounds is:

[tex]\begin{equation*} 25\% \end{equation*}[/tex]

which of these choices show a pair of equivalent expressions? Check all that apply. A. 5^2/3 and (sq rt. 5)^3 B. (4 sq rt. 81)^7 C. 7^ 5/7 and (sq rt. 7)^5 D. 6 ^7/2 and (sq rt. 6)^7

Answers

SOLUTIONS

Which of these expression shows a pair of equivalent expressions:

Option A is wrong:

[tex]\begin{gathered} 5^{\frac{2}{3}}=(\sqrt{5})^3 \\ \sqrt[3]{\sqrt{5})^2}=(\sqrt{5})^3 \end{gathered}[/tex][tex]\begin{gathered} \sqrt[4]{81)^7}=81^{\frac{7}{4}} \\ \sqrt[4]{81^7}=\sqrt[4]{81^7} \end{gathered}[/tex]

Option B is correct

Option C is wrong

[tex][/tex]

Which of the following graphs shows a positive linear relationship with acorrelation coefficient, r, close to 1?A.B.D.A. Graph AОСB. Graph BO C. Graph CO D. Graph DPREVIOUSreAOO

Answers

Given:

The objective is to choose the correct graph which shows a positive linear relationship with a correlation coefficient, r, close to 1.

The positive linear relationship represents the increasing values of plots from origin to positive x and positive y axis.

By observing graph A, the plots are scattered all over the quadrant. Hence, it is a weak association.

By observing graph B, the plots are plotted as decreasing in y axis and increasing in x axis. Hence, it is a strong negative association.

By observing graph C, the plots are plotted as increasing in both x axis and y axis. Hence, it is a strong positive association.

Hence, the graph which shows a positive linear relationship with a correlation coefficient, r, close to 1 is graph C.

2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin isflipped 20 times, which of the following is the number of times you should expect it to landon head

Answers

Given:

Number of times head shows up out of 4 trials = 3

Number of trials = 20

Solution

The number of times (N) head shows up for each trial:

[tex]\begin{gathered} N\text{ = }\frac{Number\text{ of times head shows up out of 4 trials}}{Number\text{ of trials}} \\ =\text{ }\frac{3}{4} \end{gathered}[/tex]

The number of times we would expect head to show up for 20 trials:

[tex]\begin{gathered} =\text{ }\frac{3}{4}\text{ }\times\text{ 20} \\ =\text{ 15 times} \end{gathered}[/tex]

Answer: 15 times

Charlotte has $6,367 in a savings account. The interest rate is 14%, compounded annually.To the nearest cent, how much will she have in 4 years?

Answers

Solution

Given the savings account, and solve for the interest:

Principal = $6,367

Interest rate = 14%

time = 4years

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

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

r = R/100

r = 14/100

r = 0.14 rate per year,

Then solve the equation for A

[tex]A=P(1+\frac{r}{n})^{nt}[/tex][tex]\begin{gathered} A=6367(1+\frac{0.14}{1})^{(1)(4)} \\ A=6367(1+0.14)^4 \\ A=10753.61 \end{gathered}[/tex]

A = $10,753.61

Therefore the correct answer is $10,753.61 (nearest cent)

Exhibit 6-4The starting salaries of individuals with an MBA degree are normally distributed with a mean of $40,000 and a standard deviation of $5,000.Refer to Exhibit 6-4. What is the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000?

Answers

Given:

Normally distributed = $40,000

a standard deviation= $5,000.

Required:

Find the probability that a randomly selected individual with an MBA degree will get a starting salary of at least $30,000.

Explanation:

The probability formula when the mean and standard deviation is known:

[tex]P(x)=P(\frac{x-mean}{standard\text{ deviation}})[/tex][tex]\begin{gathered} P(x\ge30k)=P(\frac{30k-40k}{5k}) \\ \begin{equation*} P(x\ge30k)= \end{equation*} \end{gathered}[/tex]

-47 > 1 - 8x ≥ -63????

Answers

Answer:

6<x<8

Step-by-step explanation:

−47>−8x+1>−63 (Simplify all parts of the inequality)

−47+−1>−8x+1+−1>−63+−1 (Add -1 to all parts)

−48>−8x>−64

−48/−8 > −8x/−8 > −64/−8 (Divide all parts by -8)

and the answer would be: 6<x<8

f(x)=x^2+2x+4Evaluate f(x+5).Simplify the answer

Answers

We have a function:

[tex]f(x)=x^2+2x+4[/tex]

We have to evaluate f(x+5).

To do so, we replace the argument x from the definition of f(x) with "x+5":

[tex]f(x+5)=(x+5)^2+2(x+5)+4[/tex]

Now, we can expand this and simplify as:

[tex]\begin{gathered} f(x+5)=(x+5)^2+2(x+5)+4 \\ f(x+5)=(x^2+2\cdot5x+5^2)+(2x+10)+4 \\ f(x+5)=x^2+10x+25+2x+10+4 \\ f(x+5)=x^2+12x+39 \end{gathered}[/tex]

Answer: f(x+5) = x² + 12x +39

A farmer fell asleep under a tree in his apple orchard while thinking about pie. While he was sleeping, a squirrel knocked an apple off a branch of the tree. The function f (d) = (see photo) can be used to find the amount of time in seconds that it takes for the apple to drop acertain distance d, where d is in meters.Step 1 of 3 : If the apple was connected to a branch that was 3 meters above the farmer's head, how long would it take before the applehit the top of the farmer's head? Round your answers to the nearest hundredth.

Answers

Solution

Step 1

Write the time function equation

[tex]f(d)\text{ = }\sqrt{\frac{2d}{9.8}}[/tex]

Step 2

d = 3 meters

[tex]\begin{gathered} f(3)\text{ = }\sqrt{\frac{2\times3}{9.8}} \\ f(3)\text{ = 0.78 seconds} \end{gathered}[/tex]

Final answer

0.78 seconds

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A _____ stores electrical energy, whereas _____ is the ratio of a stored charge on each plate to the electric potential difference between the plates.capacitor, electrical potentialcapacitor, capacitanceinsulator, energyinsulator, capacitance Complete the table of values for 2 x - 5 y =10 Which of the following choices is a form of asexual reproduction?OOOOfragmentation and regenerationoviparous eggsovoviviparous developmentviviparous development 1. Translate & Solve *20 points"Seven subtracted from the product of a number and -4 is -59."A) n = 13B) n = -13C) n = 26D) n = -26 On Monday 92 students brought their lunch to school, which represents 46% of the total number of students that ate. How many total students ate on Monday ? 1). preises 12,4 the following: Find the intercepts and domain and perform the symmetry test on each parabola with equation: Graph the vertex, focus, and endpoints of the latus rectum; then draw the parabola for each ome axes the parol plete (a) y = 87 (c) y = 4x (b) x2 = 8y (a) x = - 4y 4.A 250 mL sample of HCl solution reacts with 2.5 g of Al according to the following reaction. Determine the concentrationof the HCI. Show your work for credit.6HCl(aq) + 2Al(s) -----> 2AICI, (aq) + 3H:(9) Hi, can you help me, based with the data that is in the pic, to find the Mean , Medium, Mode, and Range . please !! 8. On a map with a scale of 1cm - 15km, two towns are 7.5 cm apart. How far apart are they in real life? I Select all the intervals where f is decreasingA: -4.5 < x < -4B: -0.5 < x < 0C: 1 < x < 2D: none of the above Part B The seesaw moves and the angle created by the left of the seating board and the central support is now 70. Seating Board R S 70 Central Support Find the distance from point Q to the ground when the angle created by the left side of the seating board and the central support is 70 (the length of the dashed line). Show your work or explain your answer. Round your answer to the nearest tenth of a foot. Enter your answer, and your work or explanation in the space provided henry has one bag of groceries that weighs 9 pounds he has another bag of groceries that weighs 62 ounces how many ounces of grocery bags weigh altogether In the 2008 presidential election of a country, 121,621,050 people turned out to vote. At the time, there were 190,296,524 registered voters. What percent of the registered voters voted? Hi could you help me for this one as well. Refining Discussion Techniques Project: Group Discussion 3. The genotype of an individual is expressed as follows:(a) blue eyes(b) b(c) tall(d) aa X bb Hello, I need some help with this precalculus question for my homework, please HW Q1 What are some examples of envy and revenge addressed in Beowulf? The happy face, which is a(n) _______, would one day inspire graphic designers to develop emoji. [pages 4-5] A advertisement B symbol C 3-D animation D hieroglyph What is the best way eyes defend themselves from harm? A) Tears containing digestive enzymes wash the surfaceB) Eyelashes roughen the cornea to stimulate nerve endingsC) The bones of the orbit are dense and unlikely to break, and the eye is cushioned from contact with the orbit by fat, tear glands, and connective tissueD) Eyes protrude on stems to free them from the bony orbitThis question was taken from apologia's exploring health and nutrition 2nd edition