Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?

Answers

Answer 1

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

Answer 2
Answer:

7.5 m above sea level

__________________________________________________________

Step-by-step explanation:

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]


Related Questions

What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer

Answers

Answer:

slope: 0.5x

Step-by-step explanation:

1. -x +10

2. -1/ 2 = -0.5

3. 10/2 = 5

4. y = 0.5x + 5

HELP ME PLEASE geometry only answer if you know please!

Answers

Answer:

2. Reason: Addition Property of Equality

3. Statement: 3x=18

4. Reason: Division property of Equality

5. Statement: x=6 Reason: Simplifying.

Step-by-step explanation:

I'm pretty sure this is correct.  

Help please! I’ll give brainliest if correct!

Answers

Answer:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.

Step-by-step explanation:

Hope  his helps!

It’s B because the input 8 has more than 1 output

Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd

dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b

Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =

center (x, y, z) =

radius =

Answers

Complete whatever squares you can:

x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36

y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1

So rewrite the equation as

x² + y² + z² = 12x + 2y

→   x² - 12x + y² - 2y + z² = 0

→   (x - 6)² - 36 + (y - 1)² - 1 + z² = 0

→   (x - 6)² + (y - 1)² + z² = 37

Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).

Answer:The radius is the square root of the constant term, z

Step-by-step explanation:

edge 2021

Help please? Write the equation for the Red line.

Answers

Y=3/2x+7 hope this helps

evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z​

Answers

Answer:

35.786

12(3) - 3(1/2)/4(3) - 5

This is then further simplified to:

36 - 1.5/7

And when you divide 1.5 by 7, the number (rounded) is .214.

Thus, subtract, and gain the final answer of 35.786.

Hope this helps!

Step-by-step explanation:

Can you please mark me brainliest

Hey there!

12x - 3y / 4x - z

= 12(3) - 3(1/3) / 4(3) - 5

= 36 - 1 / 12 - 5

= 35 / 7

= 5


Therefore, your answer is: 5


Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

How many decimals are between the number zero and -1

Answers

Answer:

an infinite amount

Step-by-step explanation:

Think about it this way:

A decimal between 0 and -1 is -0.1, right?

But so is -0.11...

...And -0.111, and -0.1111, and so on.

Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.

HTH :)

The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction

Answers

Answer:

B/ r = c divided by 2 pi

Step-by-step explanation:

The formula for radius would be C / 2π

what is Circumference of circle?

The circumference of a circle is defined as the linear distance around it.

C=2πr

Given:

c = 2πr

To find the expression for radius we have to follow the steps

c = 2πr

r= c/2π

Hence, the expression for radius is c/2π

Learn more about circumference of circle here:

https://brainly.com/question/15525194

#SPJ2


Abdul has bought 30 pounds of dog food. He feeds his dog
2/3 pounds for each meal. For how many meals will the food last?

Answers

Answer: I think its 45 days

Step-by-step explanation: hope this helps

I need help on this one.

Answers

Answer: 1/3

Step-by-step explanation:

12cm and 9cm respectively, find its length. (एउटा कोठाको चार भित्ताको क्षेत्रफल 420 वर्ग
The area of four walls of a room is 420 sq. cm. If the length and breadth of the room are
area of four walls of the room? (परिमिती 32 साम
कोठाको चार भित्ताको क्षेत्रफल कति होला?)
सेमि छ । यदि उक्त कोठाको लम्बाई र चौडाई क्रमशः 12cm र 9 cm भए उचाई पत्ता
लगाउनुहोस ।​

Answers

Given Length of Cuboid = 12cm

Given Breadth of Cuboid = 9cm

Given height of Cuboid = 8cm

Total Surface area of cuboid = 2(lb + bh + hl)

where, l stands for legth of the cuboid, b stands for breadth of the cuboid and h stands for height of the cuboid.

Put the given values of l,b and h in the formula

=> Total surface area of cuboid = 2((12×9)+(9×8)+(8×12))

=> 2(108 + 72 + 96)

=> 2(180 + 96)

=> 2 × 276

=> 552 sq. cm is the total surface area of cuboid

simplify this complex fraction 4/3/2/5

Answers

Answer:

If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3

Step-by-step explanation:

There are stars to circle there are 4 stars and 2 circles how much is the ratio

Answers

Answer:

2:1

Step-by-step explanation:

The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.

Answer:2 stars for every one circle

Step-by-step explanation:

hope you get what i mean if not sorry my friend

if the graph of an exponential function is increasing is the domain always all real numbers

Answers

Answer:

D) The domain of the function is all real numbers

Step-by-step explanation:

Determine the value of y, if x = -3.
y = |x + |1|

Answers

Answer:

Step-by-step explanation:

, if x = -3.

y = |x + |1|

So value of Y is

Y=|-3|+|1|

Y=3+1

Y=4

Answer is 4

Answer:

[tex]y = 4[/tex]

Step-by-step explanation:

[tex]y = |x + |1|\\[/tex]

| | = absolute value (how far it is from 0)

[tex]y = |-3 + |1|\\\\\\|-3| =3\\\\|3 +1| =3 + 1 \\3 + 1= 4\\[/tex]

[tex]\LARGE\boxed {y = 4}[/tex]

Let me know if you have any other questions or concerns!

~[tex]InLoveWithPugs[/tex]

[tex]Moderator\\Math\ Enthusiast[/tex]

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

Answers

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?

Answers

Answer:

???

Step-by-step explanation:

PLS HELP MEEEEEE
Two babysitters have the following price schedules: Susan charges $5 per hour plus a $2 base fee. Sarah charges $7 per hour. Use graphing to find the point where the two
will charge the same amount.

Answers

at the first hour because 5 plus 2 equals 7 and 7 is the the charges sarah charges

Answer:

hhhhhhhhhhhhhhhhhhjhhhhhhhhh

Factor and find the zeros. z^2-z+56

Answers

Answer:

Sry its long but if your to lazy to look thru it here is the answer=   z = {-7, 8}

Step-by-step explanation:

Simplifying

z2 + -1z + -56 = 0

Reorder the terms:

-56 + -1z + z2 = 0

Solving:

-56 + -1z + z2 = 0

Solving for variable 'z'.

Factor a trinomial.

(-7 + -1z)(8 + -1z) = 0

Subproblem 1

Set the factor '(-7 + -1z)' equal to zero and attempt to solve:

Simplifying:

-7 + -1z = 0

Solving:

-7 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '7' to each side of the equation.

-7 + 7 + -1z = 0 + 7

Combine like terms: -7 + 7 = 0

0 + -1z = 0 + 7

-1z = 0 + 7

Combine like terms: 0 + 7 = 7

-1z = 7

Divide each side by '-1'.

z = -7

Simplifying:

z = -7

Subproblem 2

Set the factor '(8 + -1z)' equal to zero and attempt to solve:

Simplifying:

8 + -1z = 0

Solving:

8 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + -1z = 0 + -8

Combine like terms: 8 + -8 = 0

0 + -1z = 0 + -8

-1z = 0 + -8

Combine like terms: 0 + -8 = -8

-1z = -8

Divide each side by '-1'.

z = 8

Simplifying:

z = 8

Solution

z = {-7, 8}

HEEEEEEEEEEEELLLLLLPPPPPPPPP

Answers

it’s either B or C and i think it’s B because square root of 67 is 8.18535277 and when that’s square root of 49 is 7 and square root of 64 is 8 and if you look at C square root of 81 is 9 but looking at square root of 67 B looks closer to that answer

Solve 4X squared minus X -5 equals zero

Answers

your answer should be 1/3 if I did my math right

Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?

Answers

Answer:

1260

Step-by-step explanation:

I'm not 100% sure this is correct

Answer:

$1,260

Step-by-step explanation:

I = Prt

I = 3,000 (0.07) (6)

I = 3,000 (0.42)

I = 1,260

Joe paid $1,260 in 6 years.

W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?

Answers

Answer:

B. 74 / 100

Explanation:

I got it right on the test :)

What is the sum of -6 and 12/6

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

multiply -6 with 6 so we can have common denominator as 12/6

that's gives us -36/6+12/6

-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4

pls mark this as brainliest!!!!

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

Answers

Answer:

a) 9676.1053731 rad/min

b) 1540 rpm

Step-by-step explanation:

A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute

truck with 30-in.-diameter wheels is traveling at 70 mi/h.

---------

1 mile per hour = 88 feet per minute

70 mi/hr = 6160ft/minute

----------

Each revolution = pi*d feet = 4pi feet

(b) How many revolutions per minute do the wheels make?

rev/min

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

Each revolution = pi*d feet = 4pi feet

rpm = 6160 ft/min / 4pi feet = 990/pi rpm

=~ 1540 rpm

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

(a) Find the angular speed of the wheels in rad/min.

rad/min

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

rad/min = rpm*2*pi

= 1540 rpm × 2× π

= 9676.1053731 rad/min

Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded. 1.25% 12.5% 125% 1250%

Answers

Answer:

125%

Step-by-step explanation:

Answer:

C- 125

on edge

Step-by-step explanation:

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the water and the container, W, in pounds and the amount of water, A, in gallons?

Answers

Answer: W= 8.34A

Step-by-step explanation:

Given: Weight of a gallon of water = 8.34 pounds

Then,  weight of the water in container = (Weight of a gallon of water ) x (amount of water)

If A  = amount of water (in gallons)

W =  weight of the water in container ( in pounds)

i.e. [tex]W= 8.34A[/tex]

Hence, the required equation : W= 8.34A

Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant

Answers

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

its one hour but I don't know the minutes
Its not 5 min

Answers

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

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