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blagie [28]
3 years ago
15

Simply (6^5/7^3) ^2​

Mathematics
1 answer:
Sav [38]3 years ago
5 0

\bf \left( \cfrac{6^5}{7^3} \right)^2\implies \left( \cfrac{6^{5\cdot 2}}{7^{3\cdot 2}} \right)\implies \cfrac{6^{10}}{7^6}\implies \cfrac{60466176}{117649}\implies 513\frac{112239}{117649}

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Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).
Minchanka [31]

Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x

8 0
3 years ago
4. Find the sum of the first eighteen terms of the arithmetic sequence whose nth
vova2212 [387]

Answer:

The sum of first eighteen terms of the arithmetic sequence is \mathbf{S_{18}=1638}

Option B is correct option.

Step-by-step explanation:

We need to find the sum of the first eighteen terms of the arithmetic sequence whose nth  term is an = 15 + 8n

The formula used to calculate sum of arithmetic sequence is: S_n=\frac{n}{2}(a_1+a_n)

Finding a₁ by putting n=1

a_n=15+8n\\a_{1}=15+8(1)\\a_{1}=15+8\\a_{1}=23

We have a_1=23

Finding 18th term n=18

a_n=15+8n\\a_{18}=15+8(18)\\a_{18}=15+144\\a_{18}=159

So, the sum of first eighteen terms of the arithmetic sequence is:

S_n=\frac{n}{2}(a_1+a_n)\\S_{18}=\frac{n}{2}(a_1+a_{18})\\S_{18}=\frac{18}{2}( 23+159)\\S_{18}=9(182)\\S_{18}=1638

So, the sum of first eighteen terms of the arithmetic sequence is \mathbf{S_{18}=1638}

Option B is correct option.

4 0
3 years ago
Determine if the given ordered triple is a solution of the system.
Orlov [11]

Answer:

It is.

Step-by-step explanation:

(x, y, z) => (4, -5, -4)

substitute 4 in x, -5 in y & -4 in z for all the equations in the system.

4x + 2y + z = 2

4(4) + 2(-5) - 4 = 2

2 = 2

5x - 4y - z = 44

5(4) - 4(-5) - (-4) = 44

44 = 44

3x + y + 4z = -9

3(4) + (-5) + 4(-4) = -9

-9 = -9

All equations therefore agree with the ordered triple.

8 0
2 years ago
If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles nece
Misha Larkins [42]

Answer:

the two triangles are congruent because they have the same sides and angles.

8 0
3 years ago
A 6-pack of markers costs $3.96. What is the unit price? ​
otez555 [7]
To find the unit price, divide the total cost by the amount of markers. This gets you the price for one individual marker

3.96 / 6 = 0.66

The unit price is $0.66
8 0
2 years ago
Read 2 more answers
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