At sea, the distance D to the horizon is directly proportional to the square root of the elevation E of the observer. If a person who is 36 feet above the water can see 7.4 miles, find how far a person 49 feet above the water can see.

Answers

Answer 1

The problem says that the distance D to the horizon is directly proportional to the square root of the elevation E of the observer, so:

The person who is 36 feet above the water ⇒ √36=6

A person 49 feet above the water ⇒ √49=7

So, by proportions, you have:

(7/6)x7.4= 8.63 miles

Therefore, the answer is: a person 49 feet above the water can see 8.63 miles

Related Questions

Write the epxressions for the equivalent capacitance of two capacitors write your answers in terms of c1 and c2

Answers

Connected in series:
.. Ceq = (C1*C2)/(C1 +C2)

Connected in parallel:
.. Ceq = C1 +C2

This list shows the age at which 43 U.S. Presidents began their terms. 57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50 51 60 52 57 51 52 47 56 62 69 58 49 56 55 55 43 64 57 64 46 55 51 55 46 Before you can make a frequency table, you need to decide how to set up the age intervals. What is the BEST way to group these ages into six intervals?

Answers

The best way to group these ages into six intervals is from 40-44 to 65-69.

What is a Frequency Distribution Table ?

A frequency distribution table gives an idea about the data point or interval and its frequency.

The age of the Presidents given as

57 61 50 54 54 54 56 54 61 54 48 49 42 51 61 57 68 65 50 51 60 52 57 51 52 47 56 62 69 58 49 56 55 55 43 64 57 64 46 55 51 55 46

The smallest number ( age) is 42 and the largest number (age ) is 69

To make 6 intervals in this gap of 27 , each interval should be of length 5

Therefore the intervals will be

40-44

45-49

50-54

55-59

60-64

65-69

This is the best way to group into intervals.

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Final answer:

The best way to group the ages of U.S. Presidents into six intervals for a frequency table is by intervals of five years each, starting at age 42 and ending at age 71, to cover the entire range and maintain equal width for all intervals.

Explanation:

When grouping ages into intervals for a frequency table, it's best to have intervals that are of equal width and cover the entire range of data without overlap. For the ages of U.S. Presidents starting their terms, which range from 42 to 69, we could divide this range into six intervals in a way that makes sense for this data set.

First, find the range by subtracting the youngest age from the oldest: 69 - 42 = 27. Next, divide this range by the number of desired intervals (6), which gives us 4.5. We can round this to 5 to make the intervals more practical. Thus, each age interval will span 5 years. Starting at 42, the six intervals would be: 42-46, 47-51, 52-56, 57-61, 62-66, and 67-71.

This grouping covers all the ages and each interval is of equal width, making it easy to interpret the frequency table.

in fifteen minutes greg sailboat went 3/6 miles, gina sailboat went 6/6 miles, and stuart sailboat went 4/6 miles. whose sailboat went the longest distance in fifteen minutes?

Answers

Gina's did because 6 is bigger than 3 and 4.

Jack purchased a box of 1,000 candy guitar lollipops to sell in the bakery for $20.00. How much did he pay for each lollipop?

Answers

20 divided by 1,000.

0.02 is the right Anwar

Noah makes ceramic pots for the market. On the weekends he makes 11 more pots than he does during the week. Noah represented the number of pots he makes on weekends using the expression p + 11. Which expression represents the total mumber of pots Noah made one weekend if he made 14 more than his usual number?

Answers

Answer:
number of pots = p + 25

Explanation:
On weekends, Noah makes 11 pots more than the normal weekdays.
We are given that the equation representing the number of pots is:
number of pots = p + 11
Now, Noah made 14 pots more that his usual numbers, this means that we will add 14 to the usual number of pots that he makes.
Therefore, the equation will become:
number of pots = p + 14 + 11
number of pots = p + 25

Hope this helps :)

Choose the graph that represents the time for which the velocity of the ball will be between –90 and –58 ft/s.

Answers

The answer is c because t must be less than 2.5 and more than 1.5.

Find this by separating the inequality into:

-90 < -32t - 10

-32t - 10 < -58

Simplify and you get 2.5 and 1.5

Graph (C) represents the time for which the velocity of the ball will be between –90 and –58 ft/s option (C) is correct.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have:

The velocity of the ball will be between –90 and –58 ft/s.

Let v be the velocity of the ball:

v lies between -90 and -58

-90 < v < -58

The above expression represents the inequality:

-90 < -32t - 10

t < 2.5

And

-32t - 10 < -58

t > 1.5

The number line will be:

Open the circle on the number 1.5 and open circle at 2.5 and a line was drawn between this point.

Thus, graph (C) represents the time for which the velocity of the ball will be between –90 and –58 ft/s option (C) is correct.

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4x. (2x^3 — x^2–18x+15) Standard Form

Answers

4x. (2x^3 — x^2–18x+15)=
8x^4 - 4x^3 - 72x^2 + 60x

4x (2x ^ 3 - x ^ 2-18x + 15)
For this case, the first thing to do is multiply the value of 4x for each of the terms within the parenthesis.
You must take into account the following power properties:
Same exponents are added.
We have then:
(8x ^ 4 - 4x ^ 3-72x ^ 2 + 60x)
Answer:
The standard form is:
(8x ^ 4 - 4x ^ 3-72x ^ 2 + 60x)

A pendulum travels 30 inches on its first swing. During each of its subsequent swings, it travels 90 percent of the previous swing.

Answers

the 90 percent of 30 inches will be 27

Answer:

a1= 30 and r=0.9

Step-by-step explanation:

edge

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?

a) The height of the red prism is one-third the height of the blue prism.

b) The height of the red prism is the same as the height of the blue prism.

c) The height of the red prism is six times the height of the blue prism.

d) The height of the red prism is three times the height of the blue prism.

Answers

V = B*h

Let hb represent the height of the blue prism; let hr represent the height of the red prism.

216*hb = V = (1/3)*(216)*hr
3*hb = hr . . . . . . . . . . . . . . . divide by the coefficient of hr

The 4th selection is appropriate.

Answer:

Step-by-step explanation:

Which of the following would NOT be a deduction from a paycheck?

Select the best answer from the choices provided.
taxes
FICA
hourly wages
health insurance

Answers

the answer would most likely be hourly wages

The answer is hourly wages hoped that helped!.)

Cheryl paid $3.00 for a pair of socks and eight times as much for a pair of shoes. Her brother Kevin also bought socks and shoes but paid twice as much as Cheryl did for each. How much money did they spend together ?

Answers

They paid $111 all together.

Cheryl: 3 + 8(3) = 3 + 24 = 27

Kevin: 2(3) + 2(24) = 6 + 48 = 54

27 + 54 = 81

They spent $81.00 all together.

find the domain of
[tex]f(x) = \frac{ \sqrt{x + 2} }{ {x}^{2} - 25 } [/tex]

Answers

See result as an attachment:

Tickets for the movies are $7 for adults and $4 for children. Fourteen people paid a total of $68 for tickets. How many were adults and how many were children?

Answers

so let a=adults tickdts and c=children tickets
7a+4c=68
sincr it was 14 ppl,
let a+c=14
so, system of equations.
multiply a+c= 14 all by 4 to get
4a+4c=56 subtract this from the other
7a+4c=68
-3a=-12
a=4
plug in to either. for a
4+c=14
c=10
plug into other equation to check.
7(4)+4(10)=68
28+40=68

28 plus 40=68 is how many adults and children

Cream filled chocolates are $3.59 a pound Billy bought 1/2 pound of vanilla creams what was the cost round your answer

Answers

$1.80, Divide 3.59 by two! There's your answer, your welcome!☺

$1.80, Divide 3.59 by two

A fourth as much as the product of two thirds and 0.8

Answers

To answer this, you need to understand how to represent this using math symbols.

The product of is the answer to a multiplication problem, so it would be 2/3 x 0.8. One fourth of this means that we are finding that part of the answer. To show this we would multiply 1/4 by that answer. Please see the attached picture for the written out problem and the work. The answer is 2/15.

A fourth as much as the product of two thirds and 0.8 is ²/₁₅

Further explanation

Order of Operations in Mathematics follow this following rule :

ParenthesesExponentsMultiplication and DivisionAddition and Subtraction

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

First, we will translate this word problem into a mathematical equation.

The product of two thirds and 0.8

[tex]\frac{2}{3} \times 0.8[/tex]

A fourth as much as the product of two thirds and 0.8

[tex]\frac{1}{4} (\frac{2}{3} \times 0.8)[/tex]

[tex]= \frac{1}{4} (\frac{2}{3} \times \frac{4}{5})[/tex]

[tex]= \frac{1}{4} (\frac{2 \times 4}{3 \times 5})[/tex]

[tex]= \frac{1}{4} (\frac{8}{15})[/tex]

[tex]= \frac{1}{4} \times \frac{8}{15}[/tex]

[tex]= \frac{1 \times 8}{4 \times 15}[/tex]

[tex]= \frac{8}{60}[/tex]

[tex]= \frac{8 \div 4}{60 \div 4}[/tex]

[tex]= \boxed {\frac{2}{15}}[/tex]

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Answer details

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

if c is the incenter of AMD, AMC=3x+6 AND dmc = 8X-49, FIND EACH MEASURE

Answers

3x+6=8x-49,
-6. -6
__________
3x=8x-55
-8x. -8x
________
-5x=-55
x=11,
3(11)+6=39
8(11)-49=39

Answer:

[tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Step-by-step explanation:

As you can observe in the image attached, angles AMC and DMC are congruent, because if point C is the incenter of AMD, that means each line the forms such point is a bisector.

Remember that a bisector is a line that equally divides an angle.

So,

[tex]\angle AMC = \angle DMC\\3x+6=8x-49[/tex]

Solving for [tex]x[/tex], we have

[tex]6+49=8x-3x\\5x=55\\x=11[/tex]

Then, we substitute this value in each expression to find the angles.

[tex]\angle AMC = 3x+6 = 3(11)+6=33+6=39[/tex]

[tex]\angle DMC = 8(11)-49=88-49=39[/tex]

Therefore, the measures of those angles are [tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Box i contains 4 red and 8 blue marbles while box ii contains 5 red and 3 blue marbles. an unfair coin is tossed –whose probability of turning up heads is 40%. if the coin comes up heads box i is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box ii.(a)find the probability a red marble is chosen.(b)if a red marble is chosen, what is the probability it came from box i? (c)if a blue marble is chosen, what is the probability it came from box i?

Answers

Denote by [tex]B_1,B_2[/tex] the event that a marble is drawn from box 1 or 2, respectively, and by [tex]R[/tex] the event that a red marble is drawn. If a blue marble is drawn, we'll denote that by the complement of [tex]R[/tex], or [tex]R^C[/tex].

a. If a red marble is drawn, either it's drawn from box 1 or box 2. The events [tex]B_1[/tex] and [tex]B_2[/tex] are mutually exclusive, so we have

[tex]\mathbb P(R)=\mathbb P((R\cap B_1)\cup(R\cap B_2))=\mathbb P(R\cap B_1)+\mathbb P(R\cap B_2)[/tex]

Now invoke the definition of conditional probability:

[tex]\mathbb P(R)=\mathbb P(B_1)\mathbb P(R\mid B_1)+\mathbb P(B_2)\mathbb P(R\mid B_2)[/tex]

We're explicitly given the probability of drawing from either box. We also know the probabilities of drawing a red marble from box 1 or 2 are, respectively,

[tex]\mathbb P(R\mid B_1)=\dfrac{\dbinom41\dbinom80}{\dbinom{12}1}=\dfrac4{12}=\dfrac13[/tex]

and

[tex]\mathbb P(R\mid B_2)=\dfrac{\dbinom51\dbinom30}{\dbinom81}=\dfrac58[/tex]

So

[tex]\mathbb P(R)=\dfrac25\times\dfrac13+\dfrac35\times\dfrac58=\dfrac{61}{120}\approx0.508[/tex]

b. Given that we draw a red marble, we're looking for the probability that it was drawn from box 1, i.e. [tex]\mathbb P(B_1\mid R)[/tex]. We use Bayes' theorem:

[tex]\mathbb P(B_1\mid R)=\dfrac{\mathbb P(B_1\cap R)}{\mathbb P(R)}=\dfrac{\mathbb P(B_1)\mathbb P(R\mid B_1)}{\mathbb P(R)}[/tex]

which is really just a matter of using the definition of conditional probability to rewrite the numerator on the the right side, as

[tex]\mathbb P(R\cap B_1)=\mathbb P(R)\mathbb P(B_1\mid R)=\mathbb P(B_1)\mathbb P(R\mid B_1)[/tex]

We know [tex]\mathbb P(R)[/tex] from part (a), so we compute

[tex]\mathbb P(B_1\mid R)=\dfrac{\dfrac25\times\dfrac13}{\dfrac{61}{120}}=\dfrac{16}{61}\approx0.262[/tex]

c. Now we look for [tex]\mathbb P(B_1\mid R^C)[/tex], which can be computed similarly.

[tex]\mathbb P(B_1\mid R^C)=\dfrac{\mathbb P(B_1\cap R^C)}{\mathbb P(R^C)}=\dfrac{\mathbb P(B_1)\mathbb P(R^C\mid B_1)}{1-\mathbb P(R)}[/tex]
[tex]\mathbb P(B_1\mid R^C)=\dfrac{\dfrac25\times\dfrac23}{1-\dfrac{61}{120}}=\dfrac{32}{59}\approx0.542[/tex]

Find the fifth term of A n = 2n

Answers

[tex] A_n = 2n [/tex]

Let n = 5.

[tex] A_5 = 2(5) = 10 [/tex]

In a line of students ,Jenna is number 8.The teacher says the rule for a number pattern is add4.The first term 7.What number should Jenna say?

Answers

1. You have that the rule for a number pattern is add 4 and the first term is 7.

2. Let's call "n" to the number in the line where each student is. Then, you can express this as below:

4n+7

3. So, you have:

Student N°1=4(1)+7=11
Student N°2=4(2)+7=15
Student N°3=4(3)+7=19
Student N°4=4(4)+7=23
Student N°5=4(5)+7=27
Student N°6=4(6)+7=31
Student N°7=4(7)+7=35
Student N°8=4(8)+7=39

What number should Jenna say?

The answer is: 39

Brent was looking at his cell phone bill and saw that the total number of texts he has sent is tracked, as shown below:

Month
Texts
1
120
2
237
3
354
4
471

The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?

Answers

It should be the additional texts per month or D

Answer:

The number of texts he sends per month

Step-by-step explanation:

The function f(m) = 117m + 3 is a linear function, which is in the form f(x) = mx+b. In this form, m (the number beside our variable) is the slope, or rate of change, and b (the number added or subtracted) is the y-intercept.

In our function, 117 is the number beside the variable, which makes it the slope. This is the rate of change of this function; it describes how the dependent variable (number of texts) changes for every change in the independent variable (months).

In other words, it tells how many texts he sends per month.

Jeannie's restaurant served 58 customers on Monday. After the first day the amount of customers served decreases at a rate of 2.5% each day.

What is the explicit rule for this situation and approximately how many customers will be served on the 6th day?

Round to the nearest customer.

Drag and drop the answers into the boxes to match the situation.

Explicit rule

Number of customers on the 6th day.

A n = 58 x (0.975) n - 1, A n = 58 x (0.025) n - 1, A n = 58 (1.025) n - 1, 51, 49, 48, 46,

Answers

The rule is to find the percentage then divide

Answer:

51 customers

Step-by-step explanation:

Jeannie's restaurant served 58 customers on Monday.

Rate of decrement r =2.5 % = 0.025

Formula : [tex]y=a(1-r)^{n-1}[/tex]

A is the initial amount

r is the rate

n is the no. of days

So, Substitute the values

[tex]y=58(1-0.025)^{n-1}[/tex]

[tex]y=58(0.975)^{n-1}[/tex]

So, explicit rule : [tex]A_n=58(0.975)^{n-1][/tex]

Now to find the no. of customers will be served on the 6th day

Substitute n = 6

[tex]A_6=58(0.975)^{6-1}[/tex]

[tex]A_6=51.1035[/tex]

So, 51 customers will be served on the 6th day

y = -16x2 + 32x - 10 This parabola has x-intercepts, representing the times when the dolphin's height above water is feet.

Answers

Answer:

two real solutions

Step-by-step explanation:

from edge!!

Final answer:

To find the x-intercepts of the quadratic equation representing the height of a dolphin's jump, we can use the quadratic formula by plugging in the coefficients from the equation y = -16x^2 + 32x - 10. The intercepts indicate the times when the dolphin's height above water is zero feet.

Explanation:

The question involves finding the x-intercepts of a quadratic equation, which represent the points where a parabola crosses the x-axis. In this context, the x-intercepts correspond to the times when the dolphin's height above water is 0 feet. To find the x-intercepts, we can use the quadratic formula:

x = −b ± √(b² − 4ac) / (2a)

For the equation y = −16x² + 32x − 10, the coefficients are a = −16, b = 32, and c = −10. By substituting these values into the quadratic formula, we can calculate the times when the dolphin is at the water level (y=0). Since this is a mathematical problem involving a real-world scenario, it is essential to check that the resulting times make sense within the context. Negative values for time, for example, would not be physically meaningful.

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8pints compared to 15 cups

Answers

STEP 1:
First we need both in the same unit of measurement.

1 pint= 2 cups

Convert 15 cups to pints:
=15 cups ÷ 2 cups per pint
=7.5 pints

STEP 2:
Find percentage:
=8 pints ÷ 7.5 pints
=1.0666 decimal percent of 8 pints

STEP 3:
Convert to %:
=1.06666 x 100
=106.66% percent 8 is of 7.5 pints

*TIP: if you know you're changing to a percentage from a decimal, you will always move the decimal two places to the right.

ANSWER:
8 pints is 106.66% of 7.5 pints.

Hope this helps! :)

What is 30 divided by half plus 10

Answers

30 divided by 2 + 10
15 + 10
25 is your answer. Hope its helps! :)

30 divided by one half plus 10 can be written as 30 ÷ 1/2 + 10. The order of operation (GEMDAS) informs us that we simplify the division first. 30 ÷ 1/2 is the same as 30 times 2. That gives us 60. Then, we add 10 to get 70.

Describe the test grades using the measures of center

Answers

which test grades are you talking about?

John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?

Answers

12 x 3 x 5 x 5 = 900 different outfits

Answer:

900

Step-by-step explanation:

Khan academy

Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Answers

4*pi=C
is the formula (d*pi=C)

C /4 = π

Took the test myself, this is the answer.

The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number?

Answers

the correct question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is------> 800

case A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800

the answer is the option A) 748,917

The answer is 0.5.

To find the answer, understand the place value system in numbers.

The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number.

To find the answer, we need to understand the place value system. In the number 653,841, the digit in the hundreds place is 8, and the digit in the thousands place is 5. Therefore, 1/10 of the digit in the thousands place is 0.5.

So, the answer is 0.5.

Which multiplication expression that does not belong based on scaling. Explain.

Choose an expression

6 x 2 1/2

6 x 3 3/5

1/2 x 6

2 2/5 x 6

Answers

1/2 x 6 i believe because its the most shortest one in math

The range of F(x) = 6 * 3x is all positive real numbers.

Answers

yes it isssss !!!!!!!!!!!!!

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Which statement best compares -1/2 and -2 1/2 What is the length of the base of a right triangle with an area of 20 m and a height of 4 m? A.5 m B.10 m C.80 m D.160 m Which of the following can be categorized as subplots within the play Romeo and Juliet? Select ALL that apply (more than one correct answer)Romeos love for Rosalinethe Capulet-Montague feudthe nurses loyalty to the CapuletsJuliets arranged marriage to Paris Positive coping skills include all of the following EXCEPT: Given: line segment AB is 10 inches long. Find the length of A'B' if AB is dilated to form A'B' with a scale factor of 1 2 . A) 1 2 inches B)5 inches C)10 inches D)20 inches Eliana y Hctor ___________maestros. (ser) era eras eran somos a non reactive metal can be identified from other metals because it's surface is? how is the work output of a machine calculated a. by measuring the imput force b. by calculating the output distance c. by measuring the output force ny the output distance d. by dividing the input force by the output force Please help please. Help Sodium chloride is formed when the metal sodium bonds to the nonmetal chlorine. the atoms are hold together by a Which describes a task done by a forensic examiner at a crime scene? If the kinetic energy of an electron is 4.1e-18 j, what is the speed of the electron? (you can use the approximate (nonrelativistic) formula here.) __________ encourages consumers to make purchases based on emotion, rather than rational considerations about the price. A book is _____________ when someone in authority limits publication of or access to it. Why are epidemics and pandemics a relatively recent phenomenon in human history? Laid responsibility for the first world war on germany. dictated that germany would pay reparations and disarm its military. resulted in substantial loss of territory for germany. helped set the stage for european conflict that would eventually result in world war ii. which event is being described by these statements?a.the munich pactb.the treaty of parisc.the treaty of versaillesd.the north atlantic treaty What was the Second Continental Congress created for? A 14 year-old status post injury over one year ago to her left wrist presented with recurrent wrist pain. the patient was taken to the operating room and placed under general anesthesia. she was placed in wrist traction. the radiocarpal joint was entered endoscopically through sharp skin incisions and blunt dissection into the joint. there was found to be mild synovitis in the dorsal ulnar aspect of the wrist. this was debrided arthroscopically with a shaver. there was a peripheral tear of the triangular fibrocartilage. this area was shaved to promote healing. using outside-in technique, a pds suture was placed across the tfcc and into the capsule. there was synovitis within the midcarpal joint, but there was no articular injury. all instruments were removed and the wounds were closed with interrupted nylon sutures. what cpt code(s) is /are reported? How does a good experimental conclusion differ from an inference? Determine the number of protons and neutrons in plutonium-239 and enter its symbol in the form azx.