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
Leto [7]
3 years ago
6

2(1/2q+1)=-3(2q-1)+4(2q+1)

Mathematics
1 answer:
babymother [125]3 years ago
6 0
1q+2=-6q+3+8q+4
1q+2=2q+7
<span>-2q    -2q
</span>-q+2=7
<span>    -2 -2
</span>-q=<span>5
-1  -1
q=-5
</span>

You might be interested in
There are 500 students in a high school senior class. Of these 500 students, 300 regularly wear a necklace to
andre [41]

Answer:

<u>1. P(N) =  3/5</u>

<u>2. P(R) =  2/5</u>

<u>3. P(N and R) = 1/4</u>

<u>4. P(N or R) = 3/4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Number of students in a high school senior class = 500

Number of students that regularly wear a necklace = 300

Number of students that regularly wear a ring = 200

Number of students that wear a necklace and a ring = 125

2. What is P(N), the probability that a senior wears a necklace?

Let's recall the formula of probability:

Probability = Number of favorable outcomes/Total of possible outcomes

Substituting with the real given values:

P(N) = 300/500 = 3/5 (Dividing by 100 numerator and denominator)

<u>P(N) =  3/5</u>

3. What is P(R), the probability that a senior wears a ring?

Substituting with the real given values:

P(R) = 200/500 = 2/5 (Dividing by 100 numerator and denominator)

<u>P(R) =  2/5</u>

4. What is P(N and R), the probability that a senior wears a necklace and a ring?

Substituting with the real given values:

P(N and R) = 125/500 = 1/4 (Dividing by 125 numerator and denominator)

<u>P(N and R) = 1/4</u>

5. What is P(N or R), the probability that a senior wears a necklace or a ring?

P(N or R) = P(N) + P(R) - P(N and R)

Substituting with the real given values:

P(N or R) = 3/5 + 2/5 - 1/4

P(N or R) = 5/5 - 1/4

P(N or R) = 1 - 1/4

<u>P(N or R) = 3/4</u>

5 0
3 years ago
For three consecutive plays, the Patriots gained
seraphim [82]

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

6 0
3 years ago
A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?
GaryK [48]

Answer:

10.7 m

Step-by-step explanation:

Given that,

The speed of a sound wave, v = 6,420 m/s

The frequency of the wave, f = 600 Hz

We need to find the wavelength of the wave. We can find it using the below relation as follows :

v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m

So, the wavelength of the sound wave is equal to 10.7 m.

4 0
3 years ago
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi
storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

V = \frac{1}{3}\pi r^{2}h

Differentiate the equation with respect to time t, such that

\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)

To differentiate the product,

Let r² = u, so that

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)

Then, using product rule

\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]

Since u = r^{2}

Then, \frac{du}{dr} = 2r

Using the Chain's rule

\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}

∴ \frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]

Then,

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

Now,

From the question

\frac{dr}{dt} = 7 m/min

\frac{dV}{dt} = 236 m^{3}/min

At the instant when r = 99 m

and V = 180 m^{3}

We will determine the value of h, using

V = \frac{1}{3}\pi r^{2}h

180 = \frac{1}{3}\pi (99)^{2}h

180 \times 3 = 9801\pi h

h =\frac{540}{9801\pi }

h =\frac{20}{363\pi }

Now, Putting the parameters into the equation

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]

236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]

708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}

708 = 30790.75 \frac{dh}{dt} + 76.36

708 - 76.36 = 30790.75\frac{dh}{dt}

631.64 = 30790.75\frac{dh}{dt}

\frac{dh}{dt}= \frac{631.64}{30790.75}

\frac{dh}{dt} = 0.021 m/min

Hence, the rate of change of the height is 0.021 meters per minute.

3 0
3 years ago
Liquid Tylenol has 325 milligrams of acetaminophen per 12.5 milliliters of liquid medicine (a fact that would be commonly abbrev
gulaghasi [49]

Answer:

10 milliliters

Step-by-step explanation:

260 mg/ 325 mg = x ml / 12.5 ml

12.5 ml x (260 mg / 325 mg) = 10 ml

7 0
3 years ago
Other questions:
  • Answer of this question​
    15·1 answer
  • PLEASE HURRY<br>Given the figure with the measurements indicated below, what is MK?
    8·1 answer
  • Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) y = 3x + 2 y = 3x + 8
    10·1 answer
  • at the pet fair,darlene's dog weighed 5 times as much as leah's dog.together the dog weighed 84 pounds. how much did each dog we
    6·1 answer
  • You and your friend each purchased identical subscriptions to an online video rental site. When you joined, you each paid the on
    10·1 answer
  • Alan invests some of his retirement savings in a fund earning 4% simple interest and invests twice as much in a fund earning 6%
    7·1 answer
  • Nina is making pink candles to use as decorations on Valentine's Day. She melts red and white wax together and pours them into a
    15·1 answer
  • a 29 foot rope is cut into 2 pieces. the longer feet is two feet longer than twice the shorter piece. how long is each piece? PL
    10·1 answer
  • Rowan opens a savings account with $25 and saves $75 per
    5·1 answer
  • Can i get some help on this 3 ½x = -70
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!