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
tigry1 [53]
3 years ago
11

Solve each solution. Check your solution. -32 = -4b

Mathematics
2 answers:
statuscvo [17]3 years ago
7 0
You need to divide-4 on both sides which will get you 8.hope this helps
Talja [164]3 years ago
4 0
B = 8 since you divide -4 off each side
You might be interested in
Find the product 2x(-8)x(-9)
Elza [17]
2x(-8)x(-9)

2x8x9

16x9=144
7 0
3 years ago
Read 2 more answers
Steve saw 313 birds during a bird-watching trip to Yellowstone National park.he observes 15 more trumpeter swans then sand hill
prisoha [69]

Answer:

82 ducky grouses, 41 trumpeter swans, 26 sand hill cranes, 164 chikadees

Step-by-step explanation:

4 0
2 years ago
A swimming pool with a volume of 30,000 liters originally contains water that is 0.01% chlorine (i.e. it contains 0.1 mL of chlo
SpyIntel [72]

Answer:

R_{in}=0.2\dfrac{mL}{min}

C(t)=\dfrac{A(t)}{30000}

R_{out}= \dfrac{A(t)}{1500} \dfrac{mL}{min}

A(t)=300+2700e^{-\dfrac{t}{1500}},$  A(0)=3000

Step-by-step explanation:

The volume of the swimming pool = 30,000 liters

(a) Amount of chlorine initially in the tank.

It originally contains water that is 0.01% chlorine.

0.01% of 30000=3000 mL of chlorine per liter

A(0)= 3000 mL of chlorine per liter

(b) Rate at which the chlorine is entering the pool.

City water containing 0.001%(0.01 mL of chlorine per liter) chlorine is pumped into the pool at a rate of 20 liters/min.

R_{in}=(concentration of chlorine in inflow)(input rate of the water)

=(0.01\dfrac{mL}{liter}) (20\dfrac{liter}{min})\\R_{in}=0.2\dfrac{mL}{min}

(c) Concentration of chlorine in the pool at time t

Volume of the pool =30,000 Liter

Concentration, C(t)= \dfrac{Amount}{Volume}\\C(t)=\dfrac{A(t)}{30000}

(d) Rate at which the chlorine is leaving the pool

R_{out}=(concentration of chlorine in outflow)(output rate of the water)

= (\dfrac{A(t)}{30000})(20\dfrac{liter}{min})\\R_{out}= \dfrac{A(t)}{1500} \dfrac{mL}{min}

(e) Differential equation representing the rate at which the amount of sugar in the tank is changing at time t.

\dfrac{dA}{dt}=R_{in}-R_{out}\\\dfrac{dA}{dt}=0.2- \dfrac{A(t)}{1500}

We then solve the resulting differential equation by separation of variables.

\dfrac{dA}{dt}+\dfrac{A}{1500}=0.2\\$The integrating factor: e^{\int \frac{1}{1500}dt} =e^{\frac{t}{1500}}\\$Multiplying by the integrating factor all through\\\dfrac{dA}{dt}e^{\frac{t}{1500}}+\dfrac{A}{1500}e^{\frac{t}{1500}}=0.2e^{\frac{t}{1500}}\\(Ae^{\frac{t}{1500}})'=0.2e^{\frac{t}{1500}}

Taking the integral of both sides

\int(Ae^{\frac{t}{1500}})'=\int 0.2e^{\frac{t}{1500}} dt\\Ae^{\frac{t}{1500}}=0.2*1500e^{\frac{t}{1500}}+C, $(C a constant of integration)\\Ae^{\frac{t}{1500}}=300e^{\frac{t}{1500}}+C\\$Divide all through by e^{\frac{t}{1500}}\\A(t)=300+Ce^{-\frac{t}{1500}}

Recall that when t=0, A(t)=3000 (our initial condition)

3000=300+Ce^{0}\\C=2700\\$Therefore:\\A(t)=300+2700e^{-\dfrac{t}{1500}}

3 0
3 years ago
Are the ratios 4:9 & 12:18 equivalent?
Zigmanuir [339]
No they aren't because they both can't be multiple by the same number
7 0
3 years ago
Read 2 more answers
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of at the freezing poin
tatyana61 [14]

Answer:

The 96^{th} percentile is 1.751                                    

Step-by-step explanation:

The following information is missing in the question:

Mean,

\mu = 0^\circ C

Standard Deviation,

\sigma = 1^\circ C

We are given that the distribution of distribution of errors is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.96

P( X < x) = P( z < \displaystyle\frac{x - 0}{1})=0.96  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x}{1} = 1.751\\\\x = 1.751

P_{96} = 1.751

1.751 degree Celsius is the thermometer reading corresponding to 96^{th} percentile.

7 0
3 years ago
Other questions:
  • the quadratic p(x)=.65x squared - .047x +2 models the population p(x) in thousands for a species of fish in a local pond, x year
    8·1 answer
  • 108 rounded to the nearest tenth
    8·2 answers
  • Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.
    11·2 answers
  • Mary found 98 seashells and 34 starfishes on the beach. She gave Nancy some of her seashells. She has 39 seashells left. How man
    14·2 answers
  • Can you help me <br> If y= -4 when x = 10, find y when x = 5
    9·2 answers
  • Cuanto me da como resultado
    10·1 answer
  • Each square represents one square foot. Estimate the area of the figure below.
    13·2 answers
  • PLEASE HELP ME!!!!!!!
    10·1 answer
  • Plz help I need help
    12·1 answer
  • What is the positionof C on the number line and how can i write the answer as a fraction or mixed number
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!