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
nlexa [21]
3 years ago
7

Everything is in the picture can you please show your work

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

To get the Greates Common Factor (GCF) of 15 and 36 we need to factor each value first and then we choose all the copies of factors and multiply them:  

15:        3   5

36:    2 2 3 3  

GCF:        3    

The Greates Common Factor (GCF) is:   3


You might be interested in
Simplify the expression √6 (√33=7)
marin [14]
14.07 is the answer to the question above
7 0
3 years ago
Simplify: cos2x-cos4 all over sin2x + sin 4x
GrogVix [38]

Answer:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

Step-by-step explanation:

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}

Apply formula:

\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right) and

\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)

We get:

=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}

=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}

=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}

=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}

=\frac{\sin\left(x\right)}{\cos\left(x\right)}

=\tan\left(x\right)

Hence final answer is

\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)

6 0
3 years ago
How many moles of mgci2 are there in 318 g of the compound?
shusha [124]

Answer:

there are 3.3399 moles in 318 grams! ✔️

Step-by-step explanation:

So we know that 100 grams MgCl2 to mol = 1.0503 mol.

Therefore, to find the number of moles in 318g of the compound, we use the rule of three:

if 1.0503 mol -------------> 100 grams

       X            <------------- 318 grams

The solution is: X = (318*1.0503)/100 = 3.3399 mol.

Summarizing, there are 3.3399 moles in 318 grams! ✔️

7 0
3 years ago
The function f(t) = t2 + 6t − 20 represents a parabola.
Novay_Z [31]
Part A: f(t) = t² + 6t - 20
              u = t² + 6t - 20
         + 20            + 20
      u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
      u + 29 = t² + 3t + 3t + 9
      u + 29 = t(t) + t(3) + 3(t) + 3(3)
      u + 29 = t(t + 3) + 3(t + 3)
      u + 29 = (t + 3)(t + 3)
      u + 29 = (t + 3)²
          - 29       - 29
              u = (t + 3)² - 29

Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28           h(t) = -16t² + 90t + 50
            | t |   g(t)  |                          |  t  |  h(t)  |
            |-4|-167.2|                          | -4 | -566 |
            |-3|-118.4|                          | -3 | -364 |
            |-2| -69.6 |                          | -2 | -194 |
            |-1| -20.8 |                          | -1 |  -56  |
            |0 |   -28  |                          |  0  |   50  |
            |1 |  76.8 |                          |  1  |  124 |
            |2 | 125.6|                          |  2  | 166  |
            |3 | 174.4|                          |  3  | 176  |
            |4 | 223.2|                          |  4  | 154  |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.

Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
4 0
3 years ago
Read 2 more answers
A test was marked out of 80. a boy scored 60% of the marks on the test. how many did he score?
solmaris [256]
48 marks. Because 80/10 is 8. 8x6 =48
3 0
3 years ago
Other questions:
  • Which value is equivalent to 5 × 10 to the 4th power
    8·2 answers
  • What is the next odd number after 160 to which 9 would divide without a reminder
    5·2 answers
  • The formula for the volume of a pyramid is V = 1/3Bh, where B is the area of the base of the pyramid and h is the height of the
    13·1 answer
  • Do you think Locke would have supported the colonists' actions in the boston tea party?why?why not?
    7·1 answer
  • Josh rode his bike 11.4 miles. Claire rode her bike 6.8 miles. Which explains how mental math can be used to find how much farth
    5·2 answers
  • Find the area of a triangle with the vertices (5,4) (9,7) (1,6)
    10·1 answer
  • Jill needs $40 to buy a toy she really wants. She has $15 atreadyHer birthday is coming up and she is hoping for at least the am
    14·1 answer
  • Rudy measured an Italian restaurant and made a scale drawing. The scale of the drawing was 1 centimeter : 6 meters. In the drawi
    7·1 answer
  • Wha is the equation of the line?
    9·1 answer
  • Select the correct answer.<br> What are the solutions to this quadratic equation?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!