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Kazeer [188]
2 years ago
9

Which description is represented by a discrete graph?

Mathematics
2 answers:
Phoenix [80]2 years ago
8 0

The answer is A: Kiley bought a platter for $19 and several matching bowls that were $8 each. What is the total cost before tax?  Just took the test.

Butoxors [25]2 years ago
7 0

Answer:

C.) Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast. What is the total amount of calories he consumed?

Step-by-step explanation:

A discrete graph is a series of scatter plot points. It means point on graph aren't continuous manner.

Option A) Kiley bought a platter for $19 and several matching bowl that were $8 each. If she bought x number of bowl her total cost would be

C(x)=19+8x . This is linear function and the graph of linear function is continuous.  

This is not discrete graph.

Option B) Temperature at 9:00 AM was 83°F and heating up average rate of 6°F per hour.

Temperature after t hours would be

T(t)=83+6t . This is linear function and the graph of linear function is continuous.  

This is not discrete graph.

Option C) Juan ate an egg with 78 calories and some cereal with 110 calories per serving for breakfast.

Total calories = 78 + 110 . Total calories not depend on any variable.

This is discrete graph.

Option D) a bottle contained 2,000 mL of liquid and is being poured at an average rate of 300 mL per second

W(t)=2000-300t , This is linear function and the graph of linear function is continuous.

This is not discrete graph.

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A teacher buys 100 pencils to keep in her classroom at the beginning of the school year. She allows the students to borrow penci
pashok25 [27]

Answer:

Step-by-step explanation:

The number of pencils at the beginning of the school year is 100. Since the pencils which she allowed the students to borrow is not usually returned. The rate at which she loses the pencils per month would constant. So the slope of the graph if number of pencils is plotted on the y axis and the months on the x axis,

The slope, m would be - 8 pencils per month because it is reducing

The equation for slope intercept form is expressed as

y = mx + c

Where

c = intercept

To determine c, we would substitute y = 100, x = 0 and m = 8 into the slope intercept equation. Ut becomes

100 = - 8×0 + c

c = 100

The equation becomes

y = - 8x + 100

8 0
2 years ago
Sara can run 49 yards in 7 seconds. At that rate, how many feet can she run in 3 minutes?
weeeeeb [17]

Answer:

3780 feet

Step-by-step explanation:

49/7*60*3(be careful that it is 3 minutes,not seconds)

=1260

Now,we have to convert yards into feet.

1260 yards = 3780 feet

Because feet is three times yard.

Hope this answer helps! ;)

7 0
2 years ago
Read 2 more answers
Choose the three shapes that have an area of 36 square centimeters.
Kay [80]

Answer:

6cm

Step-by-step explanation:

Area of a square =

s^2

Where s = one side

s = ?

A = s^2\\\\36 =s^2

Square root both sides

\sqrt{36} = \sqrt{s^2} \\\\6 =s

5 0
1 year ago
Cone A has a diameter of 10 meters and a slant height of 8 meters. The linear dimensions of cone B are 6 times the linear dimens
riadik2000 [5.3K]

Answer:

o calculate the volume of a cone, start by finding the cone's radius, which is equal to half of its diameter. Next, plug the radius into the formula A = πr^2, where A is the area and r is the radius. Once you have the area, multiply it by the height of the cone.Step-by-step explanation:

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6 0
2 years ago
A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound o
Valentin [98]

Answer:

47.25 pounds

Step-by-step explanation:

\dfrac{dA}{dt}=R_{in}-R_{out}

<u>First, we determine the Rate In</u>

Rate In=(concentration of salt in inflow)(input rate of brine)

=(0.5\frac{lbs}{gal})( 6\frac{gal}{min})\\R_{in}=3\frac{lbs}{min}

Change In Volume of the tank, \frac{dV}{dt}=6\frac{gal}{min}-4\frac{gal}{min}=2\frac{gal}{min}

Therefore, after t minutes, the volume of fluid in the tank will be: 100+2t

<u>Rate Out</u>

Rate Out=(concentration of salt in outflow)(output rate of brine)

R_{out}=(\frac{A(t)}{100+2t})( 4\frac{gal}{min})\\\\R_{out}=\frac{4A(t)}{100+2t}

Therefore:

\dfrac{dA}{dt}=3-\dfrac{4A(t)}{100+2t}\\\\\dfrac{dA}{dt}=3-\dfrac{4A(t)}{2(50+t)}\\\\\dfrac{dA}{dt}=3-\dfrac{2A(t)}{50+t}\\\\\dfrac{dA}{dt}+\dfrac{2A(t)}{50+t}=3

This is a linear differential equation in standard form, therefore the integrating factor:

e^{\int \frac{2}{50+t}dt}=e^{2\ln|50+t|}=e^{\ln(50+t)^2}=(50+t)^2

Multiplying the DE by the integrating factor, we have:

(50+t)^2\dfrac{dA}{dt}+(50+t)^2\dfrac{2A(t)}{50+t}=3(50+t)^2\\\{(50+t)^2A(t)\}'=3(50+t)^2\\$Taking the integral of both sides\\\int \{(50+t)^2A(t)\}'= \int 3(50+t)^2\\(50+t)^2A(t)=(50+t)^3+C $ (C a constant of integration)\\Therefore:\\A(t)=(50+t)+C(50+t)^{-2}

Initially, 20 pounds of salt was dissolved in the tank, therefore: A(0)=20

20=(50+0)+C(50+0)^{-2}\\20-50=C(50)^{-2}\\C=-\dfrac{30}{(50)^{-2}} =-30X50^2=-75000

Therefore, the amount of salt in the tank at any time t is:

A(t)=(50+t)-75000(50+t)^{-2}

After 15 minutes, the amount of salt in the tank is:

A(15)=(50+15)-75000(50+15)^{-2}\\=47.25$ pounds

8 0
1 year ago
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