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mars1129 [50]
3 years ago
15

If the 2nd and 5th terms of a

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

45

Step-by-step explanation:

The n th term of a GP is

a_{n} = ar^{n-1}

where a is the first term and r the common ratio

Given a₂ = 6 and a₅ = 48, then

ar = 6 → (1)

ar^{4} = 48 → (2)

Divide (2) by (1)

\frac{ar^4}{ar} = \frac{48}{6} , that is

r³ = 8 ( take the cube root of both sides )

r = \sqrt[3]{8} = 2

Substitute r = 2 into (1)

2a = 6 ( divide both sides by 2 )

a = 3

Thus

3, 6, 12, 24 ← are the first 4 terms

3 + 6 + 12 + 24 = 45 ← sum of first 4 terms

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A chemist mixes 175 millilters of solution that is 62% acid with 75 milliliters of pure acid. What percentage of the resulting M
Anton [14]

Answer:

  73.4%

Step-by-step explanation:

The ratio of acid to mixture volume is ...

  (0.62·175 +1.00·75)/(175 +75) = 183.5/250 = 0.734 = 73.4%

73.4% of the resulting mixture is acid.

3 0
3 years ago
Sylvia has a circular table cloth. The area of the table cloth is 254.34 in2
yaroslaw [1]

Answer:

The answer is C

Step-by-step explanation:

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7 0
3 years ago
A student solved 6x+4=2(x−8) in four steps as shown:
mr_godi [17]
The first thing you should do is solve the equation yourself.

1) Distribute the 2.  
6x + 4 = 2x – 16

2) Next, you'll want to get the x's on one side. So add -2x to both sides.
6x + 4 + -2x = 2x + -2x - 16
4x + 4 = -16

3) Now subtract 4 from both sides
4x + 4 – 4 = -16 – 4
4x = -12

4) Finally, divide both sides by 4
4x/4 = -12/4
x = –3

To solve this problem all you need to do is look back out you work, and figure out the correct solution. The answer the question is The student made an error in Step 1.

7 0
3 years ago
Question 3 of 10
MrMuchimi

Answer:

The point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

Step-by-step explanation:

We know the point-slope form of the line equation is

y-y_1=m\left(x-x_1\right)

where

  • m is the slope of the line
  • (x₁, y₁) is the point

Given

The slope m = 4

From the graph, we can take the point (-3, -4)

So, in our case:

(x₁, y₁) = (-3, -4)

m = 4

now substituting m = 4 and (x₁, y₁) = (-3, -4) in the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

y - (-4) = 4(x - (-3))

y + 4 = 4(x+3)

Therefore, the point-slope form  of the line is:

y + 4 = 4(x+3)

Hence, option B is correct.

  • The graph of the line is also attached.

6 0
3 years ago
which expression shows the result of applying the distributive property to 12 (5y + 4) ? A. 60y + 48 B. 5y + 48 C. 17y + 16 D. 6
PSYCHO15rus [73]
A because you just distribute the 12 to both
7 0
3 years ago
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