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goldfiish [28.3K]
2 years ago
7

All common factors of 24

Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0

Answer:

The all common Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24

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In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
STALIN [3.7K]

Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

10a1 = 30

a1 = 3

for f = -2

a1×-2 + a1×(-2)³ = 30

-10a1 = 30

a1 = -3

the sum of the first n terms of a geometric sequence is

sn = a1×(1 - f^(n+1))/(1-f) for f <>1

so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

4 0
2 years ago
Guys can you please help me I really dont understand algebra?
KonstantinChe [14]

Yes it is linear since it's in the standard form Ax+By = C

A = 2

B = -8

C = 16

6 0
3 years ago
Read 2 more answers
Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.
Scrat [10]

Answer:

A. Z=2.06

Step-by-step explanation:

We want to find the Z-score of X=27 if the population mean is \mu=20,and the population standard deviation is \sigma=3.4.

We use the formula:

Z=\frac{X-\mu}{\sigma}

We substitute the values to obtain:

Z=\frac{27-20}{3.4}

Z=\frac{7}{3.4}

Z=2.06

The correct answer is A.

7 0
3 years ago
Sidneys made $38 more than 3 times Casey’s weekly salary. If x represents Casey’s weekly salary , write an expression for sidney
Harrizon [31]

y=3x+38 is the expression for Sidney's weekly salary.

Step-by-step explanation:

Given,

Casey's weekly salary = x

Let,

y be the weekly salary of Sidney's.

According to given statement;

Sidney makes $38 more than 3 times Casey's weekly salary.

Sidney's weekly salary = 3 times Casey's weekly salary + $38

y=3x+38

y=3x+38 is the expression for Sidney's weekly salary.

Keywords: variable, addition

Learn more about variables at:

  • brainly.com/question/11207748
  • brainly.com/question/11280112

#LearnwithBrainly

8 0
3 years ago
On an assembly line, 3 out of every 100 light bulbs are found to be defective . If 5000 light bulbs are produced, how many would
STatiana [176]

Answer:

Step-by-step explanation:

There are 50 hundreds in 5000.

No of defective bulb expected = 50 * 3 = 150

3 0
3 years ago
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