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BartSMP [9]
3 years ago
11

The sum of three consecutive even numbers is 144. What is the smallest of the three numbers ?​

Mathematics
1 answer:
ikadub [295]3 years ago
3 0

Answer:

2

Step-by-step explanation:

132+10+2=144

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For the geometric sequence of a1=2 and r=2 find a5
Brrunno [24]

Answer:

a_5 = 32

Step-by-step explanation:

The nth term for the geometric sequence is given by:

a_n = a_1 \cdot r^{n-1}

where,

a_1 is the first term

r is the common ratio

n is the number of terms.

As per the statement:

For the geometric sequence of a_1=2 and r=2

We have to find a_5

for n = 5;

a_5=a_1 \cdot r^{n-1}

Substitute the given values we have;

a_5 = 2 \cdot 2^4 = 2 \cdot 16

⇒a_5 = 32

Therefore, the value of a_5 is, 32

3 0
3 years ago
Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Ratling [72]

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

7 0
2 years ago
4r+9r-11r+7r= Simplify Combine like terms
Veseljchak [2.6K]

Answer:

9r

Step-by-step explanation:

4r+9r-11r+7r

Combine like terms

13r -11r+7r

2r+7r

9r

3 0
2 years ago
Read 2 more answers
A survey asks 1000 workers has the economy forced you to reduce the amount of vacation
Leto [7]

Answer:

Where's the question?

Step-by-step explanation:

7 0
3 years ago
Graph the solution set of this inequality: 5x − 4y > 20.
Yanka [14]

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

 0          -5

 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

3 0
3 years ago
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