A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a depth that is LaTeX: 3\frac{1}{4}3 1 4feet below where it was at 1: 00 p.M. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.M.?

Answers

Answer 1

Answer:

[tex]\frac{23}{4}[/tex] feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 [tex]\frac{1}{2}[/tex] feet

                                                                             =   [tex]\frac{5}{2}[/tex] feet

The depth of the fish to its initial position at 4:00 pm = 3 [tex]\frac{1}{4}[/tex] feet

                                                                              = [tex]\frac{13}{4}[/tex] feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

                                        =  [tex]\frac{5}{2}[/tex] + [tex]\frac{13}{4}[/tex]

                                        = [tex]\frac{10 + 13}{4}[/tex]

                                         = [tex]\frac{23}{4}[/tex]

The position of the fish with respect to the water's surface at 4:00 pm is [tex]\frac{23}{4}[/tex] feet.


Related Questions

What is 8.51736 rounded to the nearest ten-thousandth?

Answers

I believe it’s 8.518
the answer is 8.5

hope this helps

Carnival T charges an entrance fee of $7.00 and $0.50 per ticket for the rides. Carnival Q charges an entree fee of $12.00 and $0.25 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival T and Carnival Q to be the same?

Answers

Answer:

$30

Step-by-step explanation:

Calculation for the tickets that must be purchased for Carnival T and Carnival Q to be the same

Based on the information given let x be the number of ticket to be purchased .

Carnival T entrance fee= $7.00

Ride= $0.50 per ticket

Carnival Q entree fee =12.00

Ride= $0.25 per ticket

Tickets=$7.00 + ($0.50* x) = $12.00 + ($0.25* x)

.25 x = 5.00

Hence:

x=$.25+$5.00

×=$30

Therefore the amount of tickets that must be purchased in order for the total cost at Carnival T and Carnival Q to be the same will be $30

find the slope of the line passing through the points (-2,-8) and (7,-8)

Answers

Answer: 0/9

Step-by-step explanation: Hi there!

First, we have to put the points into the y2-y1/x2-x1 form.

Take the y value from the second point (-8) and the first point y value (-8)

and subtract.

-8 - (-8)

to get 0

Now we have to get our denominator by taking the x value from our second point and subtracting it by our first y point.

7 - (-2)

to get 9

so when we put that together...

we get 0/9

So the answer is 0/9.

Hope this answer helps you!

select the two roots of (3x+7)(2x-5)=0

Answers

Answer:

A and B

Step-by-step explanation:

Given

(3x + 7)(2x - 5) = 0

Equate each factor to zero and solve for x

3x + 7 = 0 ⇒ 3x = - 7 ⇒ x = - [tex]\frac{7}{3}[/tex] → A

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex] → B

The roots of the quadratic equation are x = -7/3 and x = 5/2.

The correct option is A and B.

What is a quadratic equation?

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

A quadratic equation in the factored form,

(3x+7) (2x-5) = 0.

So, 3x + 7 = 0 or 2x - 5 = 0

x = -7/3 and x = 5/2

Therefore, the roots are x = -7/3 and x = 5/2

To learn more about the quadratic equation;

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What is the range of the function graphed below?


Answers

Answer:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Step-by-step explanation:

Range of a Function

Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.

If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.

Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.

Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.

The first interval of the range is [-4,0)

Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).

The range of f is the union of both intervals:

Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]

Answer:

B

Step-by-step explanation:

I really need help with these two problems, and yoI help would be much appreciated.

Answers

Answer:

option D is correct answer

I hope my answer is helpful to you

please give me five star rating

⦁ The data set shows the number of practice throws players in a basketball competition made and the number of free throws they made in a timed competition. Practice throws 4 10 6 15 0 7 11 Free throws 8 23 9 34 5 11 27 ⦁ ⦁ Use technology to find the equation and coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Model Equation of regression model Coefficient of determination Linear Quadratic Exponential (standard form) ⦁ ⦁ Which model best fits the data set? Explain. Answer:

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Practice throws(X) : 4 10 6 15 0 7 11

Free throws(Y) : 8 23 9 34 5 11 27

Using the online linear regression calculator :

ŷ = 2.1559X + 0.3912

2.1559 = slope

0.3912 = intercept

X = independent variable ; y = dependent variable

The Coefficient of determination (R²) = 0.9506² = 0.9036

Quadratic model : y = 0.0961x²+0.7138x+3.8031

Coefficient of determination(R²) = 0.9739² = 0.9485

Exponential model:

a*b^x

Coefficient of determination (R²) = 0.9753² = 0.9512

The exponential model fits the data best.

The linear model below shows the number of gallons of gas remaining in Sierra's car after she has driven x miles.

According to the model, how many gallons of gas does Sierra's car hold on a full tank (when the number of miles driven is zero)?

A. 16
B. 19
C. 15
D. 21

Answers

Answer:

The answer is 19

Step-by-step explanation:

√2+√2 =
A. 3√2 or B. 2√2
Which one? ​

Answers

Answer:

B

Step-by-step explanation:

Can i plz have brainliest :)

What is the cost of juice in dollars per fluid ounce?

Answers

11 cents per fluid ounce

Write the equation y=4x+9 in standard form using integers.

Answers

Answer:

[tex]4x-y=-9[/tex]

Step-by-step explanation:

The standard form of an equation is when both variables, x & y, are on the same side of the equation with a number on the other side.

To transform this equation from slope-intercept form to standard form, just switch sides for the y and the 9 like follows.

[tex]4x-y=-9[/tex]

I hope this helped you :D

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 2 is an equation.

2x + 4y + 4 is an equation.

We have,

y = 4x + 9

This is in the slope-intercept form of an equation.

The standard form of an equation is written as:

x + y = c

We need to keep the variable in the equation on one side and a constant on the other side of the equation

Now,

y = 4x + 9

Subtract 4x on both sides.

y - 4x = 4x + 9 -4x

y - 4x = 9

-4x + y = 9

This is in the form of a standard equation.

Thus,

The standard form of the equation y = 4x + 9 is

-4x + y = 9.

Learn more about equations here:

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Which pair of functions are inverses of each other?

Answers

Answer:

A

Step-by-step explanation:

Inverse means that the function is reversed from the original function, f(x).

To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.

This would be (x+11)/5.

So, you know that A is true.

Try the other selections too.

B: [tex]g(x)=x^3/2[/tex]       The x should be tripled before being divided by 2; FALSE

C: [tex]g(x)=7/(x+9)[/tex]     7 should by in the numerator; FALSE

D: [tex]g(x)=6(x+8)[/tex]    8 should be added before being multiplied by 6; FALSE

I hope this helps!!!

Using composite functions, it is found that the pair of functions that are inverse of each other is given by:

A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]

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

The composite of functions f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

Two functions f and g are inverse of each other if:

[tex]f(g(x)) = g(f(x)) = x[/tex]

Item a:

[tex]f(x) = 5x - 11[/tex]

[tex]g(x) = \frac{x + 11}{5}[/tex]

[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]

[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]

Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.

A similar problem is given at https://brainly.com/question/23458455

help. you are converging 8 centimeters to meters. how will the number of meters compare to 8? explain​

Answers

Answer:

0.08

Step-by-step explanation:

Because one cm to meters is 0.01 and times it by 8

=0.08

AYEEEEE i need help again because i dont know nothing

Answers

Answer:

its D

Step-by-step explanation:

"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)

Im imposter yay

What is 25 percent of 530?

Answers

It’s gonna be 132.5


:)))))))

Zach's car travels 21 miles on 1 gallon of gas. Using the answer choice from the previous question, Determine how far Zach travels on a trip if he uses 16 gallons of gas.

Answers

Answer:

336 miles

Step-by-step explanation:every gallon goes 21 miles so

2gallons= 42 miles

3gallons =63 miles

16 gallons  x 21 miles

Answer:

336

Step-by-step explanation:

for every one gallon he goes 21 miles

21+21=42         2 gallons

42+42=84       4 gallons

84+84=168      8 gallons

168+168=336  16 gallons

A city planner wants to build a bridge across a lake in the park. To find the length of the bridge, he makes a right triangle with one leg and the hypotenuse on land and the bridge as the other leg. The length of the hypotenuse is 340 feet and the other leg is 160 feet. Find the length of the bridge

Answers

Answer:

The length of the bridge is 300 feet.

Step-by-step explanation:

Let A represent the length of one leg.

Let B represent the length of the other leg (i.e length of the bridge)

Let C represent the length of the Hypothenus.

From the question given above, the following data were obtained:

Length of Hypothenus (C) = 340 feet.

Length of one leg (A) = 160 feet.

Length of the bridge (B) =.?

The length of the bridge can be obtained by using the pythagoras theory as illustrated below:

C² = A² + B²

340² = 160² + B²

115600 = 25600 + B²

Collect like terms

115600 – 25600 = B²

90000 = B²

Take the square root of both side

B = √90000

B = 300 feet

Therefore, the length of the bridge is 300 feet

Which graph shows a set of ordered pairs that represent a function ?

Answers

Answer:

C

Step-by-step explanation:

if you draw a line between the points then draw vertical lines they dont cross more than one dot

How many terms are there in the following expression: 3a+3ab+7b-4d?

Answers

Answer:

3

Step-by-step explanation:

no need for 6AM and sons to know what u should be a good job of the first day and sons and peele is the only one who is the only person in this one who

Answer:

There are 4 terms.

Step-by-step explanation:

3a

3ab

7b

4d

The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server? ​

Answers

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

Dave bowled a 120his first game. In his second game, he bowled 150. Find the percent of change to the nearest tenth. State whether the change is an increase or decrease

Answers

Answer:

The percentage was 25% which was an increase.

Step-by-step explanation:

150 - 120    x 100% = 25%

  120  

150 - 120 = 25% (30)

Answer:

The percentage was 25% which was an increase.

Step-by-step explanation:

Judy works as a quality inspector on a TV assembly line. She is required to inspect 9 TVs every 30 minutes. At this rate, how many should she inspect during 5 and half hours of work?

Answers

Answer:

99 TVs

Step-by-step explanation:

5 and a half hours is about 330 minutes.

9:30 = x:330

If 30 * 11 = 330, then 9 * 11 will equal x.

Judy should inspect 99 TVs.

Which table was created using the equation y = 4x +4?

Answers

Answer:

x  -2, -1, 0 1 2

y-4 0 4 8 12

Step-by-step explanation:

i think...

Answer:

X   Y

1     8

2     12

3     16

4     20

5     24

Step-by-step explanation:

I'm not seeing a table so I assume you need to creat one

Y is greater than or equal to 3 and less than 7

Answers

Answer:

y = 3to6

Step-by-step explanation:

Answer:

3 ≤ y < 7

Step-by-step explanation:

≥ means greater than or equal to

≤ means less than or equal to

< means less than

> means greater than

Given y is greater than or equal to 3

y ≥ 3

y less than 7

y < 7

Joining both of them together

3 ≤ y < 7

Find out if a function is linear or nonlinear from a graph.

Answers

Step-by-step explanation:

Believe it or not, we can determine whether a function is linear or nonlinear simply by looking at its graph! Because the rate at which y is changing with respect to x is constant in a linear function, the graph of a linear function is a line, as the name implies. For example, observe the graph of Sophie's function.

Answer:

Linear functions make graphs that are perfectly straight lines. Nonlinear functions have graphs that are curved.

I really don’t understand this question and I don’t know what to do

Answers

I would assume it is 0% for the minimum as there is a chance that rangers didn’t see anything and 65% for the highest as that is all the people that saw giraffe. I am really unsure though.

My second answer is minimum is 55.25% and the maximum is 65%. But once again I ain’t sure and logically I would go for my first answer

RiDDLe oF tHE DaY: In the beginning of the school semester at Wilson Middle there was a murder. There were four suspects, The principal, Gardener, The counselor and the math teacher. The principal said he was in his office. The counselor said she was at the front office with school staff. The gardener said she was trimming bush leaves. The math teacher said he was giving out the end of semester school test. Who is the murder?

Answers

Answer:

the gardener

Step-by-step explanation:

it always is lol

Answer:

Math teacher

Step-by-step explanation:

It says he was giving the end of semester school test, and its the beginning of the school semester at Wilson Middle.

please answer. i would rlly like it

Answers

Answer:

im pretty sure it isnt a function (not sure, i think)

Step-by-step explanation:

Answer:

i might be wrong but i think it's a relation that is not function

Step-by-step explanation:

sorry if im wrong....

the number 0.16 to 4 significant figures is?​

Answers

Answer:

0.1600

Step-by-step explanation:

0.16 has 2 significant figures.  To make it 4 significant figures, add two trailing zeros.

Use the Distributive Property to simplify 17(2b + 3)​

Answers

the answer is 34b + 51

Answer:

34b+51

Step-by-step explanation:

When you distribute, you multiply the number on the outside of the parentheses by everything inside of the parentheses. So...

17(2b+3)​

34b+51

Because you can't tell what x is, this is the most simplifying you can do.

Hopefully this helped you out...have an amazing day :3

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