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2 years ago

Identify each coefficient. 1) 8x = 2) 3m = 3) y = 4) 14t =

Mathematics

1 answer:

777dan777 [17]2 years ago

6 0

1)8
2)3
3)1
4)14
the coefficient is the number in front of the variable

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the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Soloha48 [4]

Given:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

General term:

The general term of the geometric sequence is given by

$a_n=a(r)^{n-1}$

where a is the first term and r is the common ratio.

The 11th term is given is

$a_{11}=a(4)^{11-1}$

$48=a(4)^{10}$ ------- (1)

The 12th term is given by

$192=a(4)^{11}$ ------- (2)

Value of a:

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

$48=a(1048576)$

Dividing both sides by 1048576, we get;

$\frac{3}{65536}=a$

Thus, the value of a is $\frac{3}{65536}$

Value of the 10th term:

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term $a_n=a(r)^{n-1}$ , we get;

$a_{10}=\frac{3}{65536}(4)^{10-1}$

$a_{10}=\frac{3}{65536}(4)^{9}$

$a_{10}=\frac{3}{65536}(262144)$

$a_{10}=\frac{786432}{65536}$

$a_{10}=12$

Thus, the 10th term of the sequence is 12.

8 0

2 years ago

Perimeter of a semicircle if it’s straight length is 10mm

Ksenya-84 [330]

Here's your answer, I hope you understand this. 30.9cm

6 0

2 years ago

2(2 – 2x) = –3x A. –4 B. 4 C. 6 D. 0

zlopas [31]

Answer:

$x = 4$

Step-by-step explanation:

Let's solve:

$2(2−2x)=−3x$

Step 1: Simplify both sides of the equation.

$2(2−2x)=−3x \\ (2)(2)+(2)(−2x)=−3x(Distribute) \\ 4+−4x=−3x \\ −4x+4=−3x$

Step 2: Add 3x to both sides.

$−4x+4+3x=−3x+3x \\ −x+4=0$

Step 3: Subtract 4 from both sides.

$−x+4−4=0−4 \\ −x=−4$

Step 4: Divide both sides by -1.

$\frac{ - x}{ - 1} = \frac{ - 4}{ - 1}$

Therefore, the answer will be x = 4.

5 0

2 years ago

A basketball costs $12. there is a 7% sales tax charge on this item and shipping costs are 5.23. what is the total cost to purch

Leviafan [203]

12(.07) + 5.23
.84 + 5.23
6.07

12 + 6.07
18.07

4 0

2 years ago

15 + 10y - 4xy - 6 6.

Verdich [7]

Answer:

Step-by-step explanation:

15+10y−4xy−66

Soustraire 66 de 15 pour obtenir −51.

−51+10y−4xy

4 0

2 years ago

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