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
Alenkinab [10]
3 years ago
6

It rained 7 times during our holiday. If it rained in the morning, it was sunny in the

Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

E= 11

Step-by-step explanation:

You might be interested in
the graph of F(x), shown below in pink, has the same shape as the graph of G(x) = x^2, shown in gray. Which of the following is
rusak2 [61]
The education is (x-h)^2 + k ands the vertex is (h,k)
7 0
3 years ago
Read 2 more answers
Luisa works at a gift shop. She receives a bonus if she sells at least 20 balloon bouquets in a month. Which graph represents th
suter [353]
Do you have an image of the graphs
5 0
3 years ago
Read 2 more answers
Triangle J K L is similar to triangle P Q R ..
drek231 [11]

Answer:

t = 7.5

Step-by-step explanation:

PQ and JK are corresponding sides.

QR and KL are corresponding sides.

\dfrac{PQ}{JK} = \dfrac{QR}{KL}

\dfrac{25}{5} = \dfrac{t}{1.5}

5t = 25 \times 1.5

t = 5 \times 1.5

t = 7.5

8 0
2 years ago
A tank contains 100 L of water. A solution with a salt con- centration of 0.4 kg/L is added at a rate of 5 L/min. The solution i
Fantom [35]

Answer:

a) (dy/dt) = 2 - [3y/(100 + 2t)]

b) The solved differential equation gives

y(t) = 0.4 (100 + 2t) - 40000 (100 + 2t)⁻¹•⁵

c) Concentration of salt in the tank after 20 minutes = 0.2275 kg/L

Step-by-step explanation:

First of, we take the overall balance for the system,

Let V = volume of solution in the tank at any time

The rate of change of the volume of solution in the tank = (Rate of flow into the tank) - (Rate of flow out of the tank)

The rate of change of the volume of solution = dV/dt

Rate of flow into the tank = Fᵢ = 5 L/min

Rate of flow out of the tank = F = 3 L/min

(dV/dt) = Fᵢ - F

(dV/dt) = (Fᵢ - F)

dV = (Fᵢ - F) dt

∫ dV = ∫ (Fᵢ - F) dt

Integrating the left hand side from 100 litres (initial volume) to V and the right hand side from 0 to t

V - 100 = (Fᵢ - F)t

V = 100 + (5 - 3)t

V = 100 + (2) t

V = (100 + 2t) L

Component balance for the amount of salt in the tank.

Let the initial amount of salt in the tank be y₀ = 0 kg

Let the rate of flow of the amount of salt coming into the tank = yᵢ = 0.4 kg/L × 5 L/min = 2 kg/min

Amount of salt in the tank, at any time = y kg

Concentration of salt in the tank at any time = (y/V) kg/L

Recall that V is the volume of water in the tank. V = 100 + 2t

Rate at which that amount of salt is leaving the tank = 3 L/min × (y/V) kg/L = (3y/V) kg/min

Rate of Change in the amount of salt in the tank = (Rate of flow of salt into the tank) - (Rate of flow of salt out of the tank)

(dy/dt) = 2 - (3y/V)

(dy/dt) = 2 - [3y/(100 + 2t)]

To solve this differential equation, it is done in the attached image to this question.

The solution of the differential equation is

y(t) = 0.4 (100 + 2t) - 40000 (100 + 2t)⁻¹•⁵

c) Concentration after 20 minutes.

After 20 minutes, volume of water in tank will be

V(t) = 100 + 2t

V(20) = 100 + 2(20) = 140 L

Amount of salt in the tank after 20 minutes gives

y(t) = 0.4 (100 + 2t) - 40000 (100 + 2t)⁻¹•⁵

y(20) = 0.4 [100 + 2(20)] - 40000 [100 + 2(20)]⁻¹•⁵

y(20) = 0.4 [100 + 40] - 40000 [100 + 40]⁻¹•⁵

y(20) = 0.4 [140] - 40000 [140]⁻¹•⁵

y(20) = 56 - 24.15 = 31.85 kg

Amount of salt in the tank after 20 minutes = 31.85 kg

Volume of water in the tank after 20 minutes = 140 L

Concentration of salt in the tank after 20 minutes = (31.85/140) = 0.2275 kg/L

Hope this Helps!!!

8 0
2 years ago
The track team consists of seven hurdlers, six high jumpers, and three sprinters. The track coach wants to randomly name a capta
iren2701 [21]

Answer:

0.375

Step-by-step explanation:

turn all into fractions. add hurdles and sprinters. divide to get decimal. subtract 0.625 from 1 and you get 0.375

6 0
3 years ago
Other questions:
  • Calculate the area of triangle ABC with altitude CD, given A(6,-2) B(1,3) C(5,5) D(2,2)
    8·1 answer
  • Use the distance formula to find the length of the segment A(1, 2) to B(5, 2)
    9·1 answer
  • Which table shows exponential decay?
    11·1 answer
  • A car dealership is offering $1,500 cash back on the
    7·1 answer
  • Please help me out answer quick
    12·1 answer
  • How do I do this problem?<br> 3/5 x 3= mixed fraction
    14·2 answers
  • PLEASE HURRY!50 POINTS ANS BRAILIEST
    9·1 answer
  • Name the postulate or theorem you can use to prove the triangles congruent.
    9·1 answer
  • Change x-2y=4 into slope-intercept form.
    7·1 answer
  • Find n. 8/12 = n/48. n = ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!