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lakkis [162]
3 years ago
13

2x – 4y = 14 x = 2y – 2 What is the solution to the system?

Mathematics
1 answer:
AVprozaik [17]3 years ago
4 0

Answer:

No Solution.

Step-by-step explanation:

2x-4y=14

x=2y-2

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

2(2y-2)-4y=14

4y-4-4y=14

-4=14

no solution

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A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60
Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0
3 years ago
Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

B = arcsin b/c = arcsin (3.5/12) = 17.0°

13.

c=124 m, A=58°

sin A = a/c

a = c sin A = 124 sin 58 = 105.2 m

14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

cos A = b/c

A = arccos b/c = arccos (1.8/2.8) = 50.0°

15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

sin B = b/c

b = c sin B

d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm

Almost equilateral


4 0
4 years ago
If a rectangular. Prism. Has 5cm. 10cm on one side and 4cm on the. Other. What is the volume of the rectangle?
emmasim [6.3K]

Answer: 200\ cm^3

Step-by-step explanation:

Given

The dimension of the rectangular prism is

l=5\ cm\\w=10\ cm\\h=4\ cm

The volume of the prism is given by V=l\times w\times h

\Rightarrow V=5\times 10\times 4\\\Rightarrow V=200\ cm^3

Therefore, the volume of the prism is 200\ cm^3.

7 0
2 years ago
Randell earns $8 per hour at his job. if he works more than 40 hours, he earns 1 1/2 times his normal hourly rate. if Randall wo
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3 0
3 years ago
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Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You
Aloiza [94]

Answer:

So 24 hours each month times 12 would be 288 hours of working out of one year.

Hope this helps!

Step-by-step explanation:

8 0
3 years ago
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