A geologist gathered data about the total shoreline and maximum depth of several area lakes and organized the data into this table. Total Shoreline (miles) 22 17 10 23 12 35 7 Maximum Depth (feet) 101 85 59 113 64 158 33 She then used a graphing tool to display the data in a scatter plot, with x representing the total miles of shoreline and y representing the maximum depth. She also used the graphing tool to find the equation of the line of best fit: y = 4.26x + 10.908. Based on the line of best fit, what is the approximate maximum depth of a lake that has 31 miles of shoreline? A. 121 feet B. 132 feet C. 138 feet D. 143 feet

Answers

Answer 1

Answer: D. 143

Step-by-step explanation:

31 times 4.26 = 132.06 + 10.908 = 142.968 which simplifies to 143 because you round up.

Answer 2

The best line of fit for the maximum depth of the shoreline would be: D. 143 feet

How to solve for the depth of the shoreline

We have the line of fit as

y = 4.26x + 10.908.

The question has specified x as 31 miles which is the miles of shore line.

We have to solve for the value in the line of best fit

y = 4.26*31 + 10.908

y = 132.06 + 10.908

y = 142.968

This is approximately D. 143 feet

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Related Questions

A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations of both the bug and the car

Answers

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

An infinite series is represented by:

Answers

the infinite numbers is represented by D.

It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°C. The specific heat of the substance is 1.2 J/g°C. What is the mass of the substance? 12 g 15 g 18 g 30 g

Answers

Answer:

15 g.

Step-by-step explanation:

The following data were obtained from the question:

Heat required (Q) = 350 J

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Specific heat capacity (C) = 1.2 J/g°C

Mass (M) =..?

Next, we shall determine the change in temperature.

This is illustrated below:

Initial temperature (T1) = 10.0 °C

Final temperature (T2) = 30.0 °C

Change in temperature (ΔT) =..?

Change in temperature (ΔT) = T2 – T1

Change in temperature (ΔT) = 30 – 10

Change in temperature (ΔT) = 20 °C

Finally, we shall determine the mass of the substance as follow:

Heat required (Q) = 350 J

Specific heat capacity (C) = 1.2 J/g°C

Change in temperature (ΔT) = 20 °C

Mass (M) =.?

Q = MCΔT

350 = M x 1.2 x 20

Divide both side by 1.2 x 20

M = 350 / (1.2 x 20)

M = 14.5 ≈ 15 g

Therefore, the mass of the substance is

15 g.

Answer:

15 g

Step-by-step explanation:

Please answer this question now in two minutes

Answers

Answer:  z = 81

Step-by-step explanation:

TW is the midsegment of ΔSUV   ⇒   UV = 2TW

Given: UV = z - 51, TW = z - 61

z - 51 = 2(z - 61)

z - 51 = 2z - 132

   -51 =  z  - 132

    81 = z

The function C (g) represents the cost to produce g gallons of chocolate chunk ice . Interpret the meaning of the statement C (765=164. It cost to produce gallons of chocolate chunk ice?​

Answers

Answer:

It cost $164 to produce 765 gallons of chocolate chunk ice

Step-by-step explanation:

The function C(g) represents the cost (C) to produce g gallons of chocolate chunk ice.

Given the statement:

C(765)=164

Comparing with C(g), we have that:

Cost, C = $164

Number of gallons of chocolate chunk ice. g=765

Therefore, the meaning of the given statement is:

It cost $164 to produce 765 gallons of chocolate chunk ice

Evaluate the expression. 42−3⋅4+7 Enter your answer in the box.

Answers

Answer:

23

Step-by-step explanation:

Here we will use BODMAS

42 - 3⋅4 + 7

42 - 12 + 7

42 - 19 = 23

Answer:

Answer is 11

Step-by-step explanation:

I took the quiz

.................................

Answers

Answer:

c

Step-by-step explanation:

Using the sine ratio in the right triangle

sin q = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{13}{15}[/tex] , thus

∠ q = [tex]sin^{-1}[/tex] ([tex]\frac{13}{15}[/tex] ) = 60° → c

Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
x + 3y = 9
y = x-5
A. (6,3)
B. (3,-2)
C. (1,-5).
D. (6,1)

Answers

Answer:

D (6,1)

Step-by-step explanation:

[tex]x + 3y = 9[/tex]

[tex]y = x-5[/tex]

When [tex]y = x-5[/tex], it means we don't need to move the variables to the left side and right side. We can use [tex]y = x-5[/tex] to substitute into the first equation [tex]x + 3y = 9[/tex] directly.

[tex]x + 3y = 9[/tex]

[tex]x+3(x-5)=9[/tex]

[tex]x+3x-15=9[/tex]

[tex]4x=9+15[/tex]

[tex]4x=24[/tex]

[tex]x=6[/tex]

When x=6, we can substitute the value of x into any equation whatever you want. You can choose [tex]x + 3y = 9[/tex] or [tex]y = x-5[/tex]. I choose [tex]y = x-5[/tex] is easier to get the value of y.

When x=6, substitute into [tex]y = x-5[/tex]

[tex]y=6-5[/tex]

[tex]y=1[/tex]

Hooray, now you have the value of x and y which are x=6 and y=1.

I hope you will understand the answer.

You can ask any question here if you still cannot get the point. Don't be shy.

Answer:

d (6,1)

Step-by-step explanation:

a pex

4. A build-your-pasta restaurant charges a flat fee of $2.50 for pasta and $0.75 per ingredient. How much
does the pasta cost for 4 ingredients?
y =
I
The pasta plate will cost $​

Answers

Answer:

Step-by-step explanation:

The pasta plate will cost $​ 5.5

y=4x+2.5 ( x is the number of ingredients)

$​ 2.5+(4*0.75)= 5.5 dollars

Identify whether the relationship between ∠a and ∠b in the image below is complementary, linear pair/supplementary, adjacent, or vertical.

Answers

Answer:

a and b are examples of a vertical pair.

Step-by-step explanation:

Vertical pairs are equal to each other with the same degrees.

x+3y = — 15
slove linear system graphically​

Answers

Answer:

x=−3y−15

Step-by-step explanation:

Let's solve for x.

x+3y=−15

Step 1: Add -3y to both sides.

x+3y+−3y=−15+−3y

x=−3y−15

Answer:

x=−3y−15

help me quickly please!
what is the area of the shaded region? (25pi-48)cm^2 (25pi-30)cm^2 (25pi-24)cm^2
(25pi-12) cm^2

Answers

Answer:

25pi-24 cm²

Step-by-step explanation:

pi(5)²-2(1/2)*6*4

25pi-24 cm²

The area of the shaded region is (25π - 24) sq.cm.

What is area of circle?

"[tex]A = \pi \times r^2[/tex], where 'r' is the radius of the circle."

What is the area of the triangle?

"[tex]A=\frac{1}{2}\times b\times h[/tex], where b is the base and h is the height."

What is an isosceles triangle?"It is a triangle that has any two sides equal in length.""The angles opposite to equal sides are equal in measure.

For given question,

area of the shaded region = area of circle - area of 2 isosceles triangles

First we find the area of the circle:

Here, radius r = 5 cm

So, the area of the circle would be,

[tex]A=\pi\times r^2\\\\A=\pi \times 5^2\\\\A=25\pi~cm^2[/tex]

Now, for isosceles triangle,

base b = 6 cm

And height h = 5 - 1

                   h = 4 cm

Using the formula for area of the triangle,

[tex]A=\frac{1}{2}\times b\times h\\\\ A=\frac{1}{2}\times 6\times 4\\\\ A=12~cm^2[/tex]

So, the area of the shaded region would be,

the area of the shaded region

[tex]= 25\pi - (2 \times 12)\\\\= 25\pi - 24 ~sq.cm.[/tex]

Therefore, the area of the shaded region is (25π - 24) sq.cm.

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WILL MARK BRAINLIEST!!! PLZ HELP!!!

Answers

Answer:

Choice C.

Step-by-step explanation:

There are students listening to music for 6.5 hours. So, the students will be in a range where the numbers on the x-axis go to 9.

According to the table, there are 11 students who listen to music for 0 to 3 hours. There are 3 students who listen to music for 3 to 6 hours. There is 1 student listening to music from 6 to 9 hours. This data matches up with the histogram from Choice C.

Hope this helps!


Hellppppppplpp pleaseee

Answers

it would be 3

15 divided by 5 is 3
25 divided by 5 is 5

Answer:

The answer is 3.

Step-by-step explanation:

In order to get 5 as the denominator, you would divide 25 by 5. Hence, you would do the same to the numerator. 15 divided by 5 equals three.

Hope this helps! Stay safe! So cool that you live in the UK!

xx gloriouspurpose xx

p.s. from america lol

The sum of the digits of a two-digit number is 5. If nine is subtracted from the number, the digits will be reversed. Find the number. the answer to that is 32. If you replace the tens digit with x, then what will the equation be?

Answers

Answer: 32

Step-by-step explanation:

Let x + y = 5

x = 5 - y....................(1)

10x + y -9 = 10y + x..... . (2)

Substituting (1) in (2)

10(5-y) + y - 9 = 10y + (5-y)

50-10y + y - 9 = 10y + 5 - y

41 - 9y = 9y + 5

-9y - 9y = 5-41

-18y = - 36

y = 36/2 = 2

So, x = 5-2 = 3

Find the area of the shaded regions

Answers

Answer:

c

Step-by-step explanation:

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -x + 5
(2, [?]); ([ ], [])

Answers

Answer:

The two points solutions to the system of equations are: (2, 3) and (-1,6)

Step-by-step explanation:

These system of equations consists of a parabola and a line. We need to find the points at which they intersect:

[tex]x^2-2x+3=-x+5\\x^2-2x+x+3-5=0\\x^2-x-2=0\\(x-2)(x+1)=0[/tex]

Since we were able to factor out the quadratic expression, we can say that the x-values solution of the system are:

x = 2 and x = -1

Now, the associated y values we can get using either of the original equations for the system. We pick to use the linear equation for example:

when x = 2 then  [tex]y=-(2)+5=3[/tex]

when x= -1  then  [tex]y=-(-1)+5=6[/tex]

Then the two points solutions to the system of equations are: (2, 3) and (-1,6)

What is the The range of y = square root X-5 – 1

Answers

Answer:

[-1, infinity)

Step-by-step explanation:

I must assume that you meant y = √(x - 5) - 1.

The range of the square root function is [0, infinity.

If 1 is subtracted from the square root function, the range of the resulting function is [-1, infinity).

Answer:

B. y > = -1

Step-by-step explanation:

edge 2020

PLZ HELP!!! 20 POINTS how many solutions does this system have? x minus 3 y = 4. Negative 2 x + 6 y = 3. one two an infinite number no solution

Answers

Answer:

No solutions.

Step-by-step explanation:

x minus 3y = 4

x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3

-2x + 6y = 3

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

Hope this helps!

The statement; 'x minus 3 y = 4. Negative 2 x + 6 y = 3 has no solution'

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given system of equation;

x minus 3y = 4 means x - 3y = 4

2x - 6y = 8

negative 2x + 6y = 3 means -2x + 6y = 3

Solving;

2x - 6y = 8

-2x + 6y = 3

(2x - 2x) + (-6y + 6y) = 8 + 3

0 + 0 = 11

0 = 11

Since this statement is false, the system has no solutions.

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Choose the correct simplification of the expression 4 over y to the power of negative 3. 4y3 4 over y to the 3rd power y to the 3rd power over 4 This expression is already simplified.

Answers

Answer:

[tex] 4y^3 [/tex]

Step-by-step explanation:

[tex] \dfrac{4}{y^{-3}} = [/tex]

[tex] = 4 \times y^3 [/tex]

[tex] = 4y^3 [/tex]

Answer:

4y^3

Step-by-step explanation:

Suriland cannot both export wheat and keep bread plentiful and affordable in Suriland. Accordingly, Suriland's wheat farmers are required to sell their crop to the government, which pays them a dollar per bushel less than the price on the world market. Therefore, if the farmers could sell their wheat on the world market, they would make a dollar per bushel more, less any additional transportation and brokerage costs they would have to pay.

Which of the following, if true, most seriously weakens the argument?

(A) Suriland's wheat farmers have higher production costs than do farmers in many other wheat-producing countries.
(B) Sale of a substantial proportion of Suriland's wheat crop on the world market would probably depress the price of wheat.
(C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.
(D) Suriland is surrounded by countries that do not import any wheat.
(E) The price of a bushel of wheat on the world market occasionally drops below the average cost of producing a bushel of wheat in Suriland.

Answers

Answer:

the most accurate argument is (C) The transportation and brokerage costs that Suriland's farmers would face if they sold their wheat outside Suriland could amount to almost a dollar per bushel.

Step-by-step explanation:

The cost of transportation and other logistics is being covered by the government that is why the government pay less than dollar per bushel.

so the price of the wheat would have to decrease at home so that the cost of the transportation can be covered by the government who are buying directly from the farmers.

A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? a. 24 b. 42 c. 48 d. 84

Answers

Answer:

The approximate area of the hexagon is 42 in²

Now, the length of one side is 4 inches.

Answer:

B. 42 in.^2

Step-by-step explanation:

Just took the Unit Test on Edg (2020-2021)!!

A. True

B. False

Plz answer




Answers

Answer:  

              TRUE

Step-by-step explanation:

≅ mens the triangles are congruent (the same arcs and the same sides in both). Basicaly it means they are the same exept its positon (can be mirrored or rotated)

So if ΔDEF is the same as ΔABC and the same as ΔMNO that maens ΔMNO must be the same as ΔABC

{ΔABC≅ΔDEF  and ΔDEF≅ΔMNO} ⇒ ΔABC≅ΔMNO

And if ΔMNO is the same as ΔABC and the same as ΔPQR that maens ΔPQR must be the same as ΔABC

{ΔABC≅ΔMNO and ΔMNO≅ΔPQR} ⇒ ΔABC≅ΔPQR

d. An effort of 10 N is applied to lift a load of 50 N. If the effort arm
is 10 cm, calculate the load arm, input work and output work
[Ans: 2 cm, 100 Nm, 100 Nm)​

Answers

Answer:

Output work = 1Nm

Input work = 1Nm

Load arm = 0.02m

Step-by-step explanation:

Given the following :

Effort applied = 10N

Load = 50N

Effort distance = 10cm = 10/100 = 0.1m

Calculate : the load arm, input work and output work

Input work = Effort × distance moved by effort

Input work = 10N × (0.1)m = 1J

B) Load arm or load distance :

Mechanical advantage (MA) = load / effort

MA = 50 / 10

MA = 5

MA = input distance / output distance

5 = 0.1 / load arm

load arm = 0.1 / 5

load arm = 0.02m

C.) Output work :

Load × load distance

50N × 0.02

Output work = 1J

Save a wretched life by answering a geometry question in the pic
A.)10 B.)14 C.)7 D.)17

Answers

oooooooooooooooooooooooooooooooo

HELPPP PLZZZZZZZZZ i will make Brainlynest

Answers

Answer:

(11, 3)

Step-by-step explanation:

(11,3) Is your answer

9 A skier travelling in a straight line up a hill experiences a constant deceleration.
At the bottom of the hill, the skier has a speed of 16ms- and, after moving up
the hill for 40 s, he comes to rest. Find:
a the deceleration of the skier
b the distance from the bottom of the hill to the point where the skier comes to rest.​

Answers

Answer:

a) deceleration = 0.4 m/s^2

b) distance = 320m

Step-by-step explanation:

a)

using formula a = (v-u)/t,

acceleration a = unknown (deceleration is the negative of acceleration)

final velocity v = 0 m/s (rest)

initial velocity u = 16 m/s

time t= 40s.

a = (0-16)/40

a = -0.4

Hence deceleration = 0.4 m/s^2

b)

Use formula v²-u² = 2as

distance s = unknown

0²+16² = 2(-0.4)(s)

s = 320m

Help!!!!! please!!!!!

Answers

Answer:

Step-by-step explanation:

r = 15 ft

h = 22 ft

Volume of cylinder = πr²h

                                = π * 15 * 15 * 22

                                = 4950π

                                = 4950 * 3.14

                               = 15543 cubic ft

Which is a perfect square ?

Answers

81 because the square root is 9
Mark brainliest please

the product of a rational number multiplied by itself.

this is the question is Estimate. 9.8 * 5.2 Choose 1 answer: a 5 b 50 c 500 d 5000

Answers

Answer: 50

Step-by-step explanation:

I am rounding it to 1 significant figure.

9.8 = 10 (round up when the last digit is 5, 6, 7, 8 or 9)

5.2 = 5 (round down when the last digit end with 0, 2, 3 or 4)

So it now is 10 x 5 = 50

Rounding to 1 significant figure, we get the product of 9.8 * 5.2 is 50. Thus, option B is correct.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

Given product is 9.8 * 5.2

Now we are rounding it to 1 significant figure.

Round up when the last digit is 5, 6, 7, 8 or 9

9.8 = 10

Round down when the last digit end with 0, 2, 3 or 4

5.2 = 5

So, 10 x 5 = 50

Thus, option B is correct.

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