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
timurjin [86]
3 years ago
13

A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio

n represents the amount of water in the pond, in gallons, after 12 minutes?
Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

900 + 12 x 30

Step-by-step explanation:

You might be interested in
Find the slope please
tamaranim1 [39]

Answer:

slope = 2/5

Step-by-step explanation:

The rise is 2

The run is 5

8 0
2 years ago
Find the inverse of f(x)=x/4-7
kirill [66]

Answer:

fx^{-1} (x)=4x+28

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
Name the marked angle in 2 different ways.
Ganezh [65]

Answer:

Right angle, and angle IJK

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What are two expressions that are equivalent to 6(5j + 2 + j)?<br><br><br><br>​
ziro4ka [17]

Answer:

1. 30j+12+6j

2. 36j+12

3. 6(6j+2)

Step-by-step explanation:

1. You just multiply so... 6x5j ... 6x2 ... 6xj

2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12

3. you do what's in the parentheses first so 5j+j=6j so .... 6(6j+2)

5 0
3 years ago
Other questions:
  • You traveled 450 miles and it takes you seven hours. What is your average rate?
    6·2 answers
  • The difference of two numbers is 8. When twice the first number is added to three times the second number, the result is 51. Wha
    15·1 answer
  • Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
    10·1 answer
  • (20 POINTS!!!) which of the following terms describe the relationship between &lt;CFD and &lt;DFE? Chose all that apply. (2)
    11·1 answer
  • The scoring of modern IQ tests is such that IQs have a Normal distribution with mean
    11·1 answer
  • Before a party, Audrey goes to the store with $55. She spends $52.92 on 12 cases of soda.
    7·1 answer
  • Simplify the expression 7(9+2)
    14·1 answer
  • HELP I NEED HELP ASAP
    8·1 answer
  • Can someone explain to me
    14·1 answer
  • 1. On the subway, 8 out of 11 people are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!