1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lady bird [3.3K]
3 years ago
6

A transversal intersects two lines which condition would make the two lines parallel

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0
The slope is that same
You might be interested in
A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
Wittaler [7]

Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

Step-by-step explanation:

Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = \frac{d(V_{tank}(t) \cdot c(t))}{dt}

By expanding the previous equation:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt} + \frac{dV_{tank}(t)}{dt} \cdot c(t)

The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

V_{tank} = 220\\\frac{dV_{tank}(t)}{dt} = 0

Since there is no accumulation within the tank, expression is simplified to this:

c_{0} \cdot f_{in} - c(t) \cdot f_{out} = V_{tank}(t) \cdot \frac{dc(t)}{dt}

By rearranging the expression, it is noticed the presence of a First-Order Non-Homogeneous Linear Ordinary Differential Equation:

V_{tank} \cdot \frac{dc(t)}{dt} + f_{out} \cdot c(t) = c_0 \cdot f_{in}, where c(0) = 0 \frac{pounds}{gallon}.

\frac{dc(t)}{dt} + \frac{f_{out}}{V_{tank}} \cdot c(t) = \frac{c_0}{V_{tank}} \cdot f_{in}

The solution of this equation is:

c(t) = \frac{c_{0}}{f_{out}} \cdot ({1-e^{-\frac{f_{out}}{V_{tank}}\cdot t }})

The salt concentration after 8 minutes is:

c(8) = 0.166 \frac{pounds}{gallon}

The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

3 0
3 years ago
What is .5 as a fraction
NNADVOKAT [17]

Answer:

1/2 is 0.5 as a fraction


8 0
3 years ago
Read 2 more answers
Solve this linear system 28x + 44y = 964.40 21x + 33y = 723.30
Sladkaya [172]

28x + 44y = 964.40

21x + 33y = 723.30

Let's multiply the first equation by 4 and the second by -4

84x + 176y = 3857.6

-84x - 132y = -2893.2

Add the equations together.

0 + 44y = 964.4

Simplify

44y = 964.4

Divide both sides by 44

y = 964.4/44

Since we have the value of y, let's plug 964.4/44 into y for the first equation.

28x + 44(964.4/44) = 964.40

Simplify the left side

28x + 964.4 = 964.4

Subtract 964.4 from both sides

28x = 0

Divide both sides by 0

x = 0

In conclusion,

y = 964.4/44

x = 0

3 0
3 years ago
Your fitness tracker overestimates the number of steps you take by 5%. The trackers indicates that you took 7350 steps today. Wr
ivolga24 [154]

Answer:

7,000

Step-by-step explanation:

The number of actual steps is x.

x + x(.05) = 7350    This is actual steps plus the extra 5% equals the number shown on the tracker.

Pull out x

x (1+.05) = 7350

x (1.05) = 7350     Divide by 1.05

(x (1.05))/1.05 = 7350/1.05

x = 7,000

5 0
3 years ago
Read 2 more answers
Hiking boots cost $99.55 they are on sale for $15.18 off. what is the percent of discount
nadya68 [22]

Answer:

15.25

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • The price per ounce of a bag of chips is 0.19 what is the cost c, of a 16 ounce bag of chips write and equation and then solve
    5·1 answer
  • Twin​ brothers, Billy and​ Bobby, can mow their​ grandparent's lawn together in 53 minutes. Billy could mow the lawn by himself
    11·1 answer
  • What is the interquartile range of this data?
    14·2 answers
  • According to the Pew report, 14.6% of newly married couples in 2008 reported that their spouse was of another race or ethnicity
    8·1 answer
  • For which value of x must the expression 91x be further simplified? A) 5 B) 13 C) 15 D) 17 E) 19
    8·1 answer
  • The baby elephant weighs 435 pounds what is his weight rounded to the nearest hundred lb
    13·1 answer
  • the space suit Neil Armstrong when he stepped on the ball for the first time with about 8 and 180 pounds on Earth how much do th
    12·1 answer
  • The letters for the word SCHOOL are placed in a hat. What is the probability of drawing the letter O out of the hat?
    12·2 answers
  • <img src="https://tex.z-dn.net/?f=%28sinx%5E%7B2%7D%20theta%29%5Cfrac%7Bx%7D%7By%7D%281%2Bcostheata%29" id="TexFormula1" title="
    14·1 answer
  • 120 members are going to pass a resolution to select a team leader. If 1 over 6 of the members voted in favor and 2 over 5 of th
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!