All categories

3 years ago

The answer to the problem

Mathematics

2 answers:

GenaCL600 [577]3 years ago

7 0

Answer:

580

Step-by-step explanation:

ser-zykov [4K]3 years ago

4 0

Answer:

580

Step-by-step explanation:

You might be interested in

Factor x^2 + 10x -18

vovangra [49]

This one is no factor, cant do it

3 0

4 years ago

The third and the sixth term of a geometric progression are 24 and 64/9 respectively. Find

Ratling [72]

Answer:

Ai. Common ratio = 2/3

Aii. First term = 54

B. Sum of the first five terms = 422/3

Step-by-step explanation:

From the question given above, the following data were obtained:

3rd term (T3) = 24

6Th term (T6) = 64/9

First term (a) =?

Common ratio (r) =?

Sum of the first five terms (S5) =?

Ai. Determination of the common ratio (r).

T3 = ar²

T3 = 24

24 = ar²....... (1)

T6 = ar⁵

T6 = 64/9

64/9 = ar⁵......... (2)

The equation are:

24 = ar²....... (1)

64/9 = ar⁵......... (2)

Divide equation 2 by equation 1.

64/9 ÷ 24 = ar⁵ / ar²

64/9 × 1/24 = r³

8/27 = r³

Take the cube root of both side

r = 3√(8/27)

r = 2/3

Thus, the common ratio is 2/3

Aii. Determination of the first term (a).

T3 = ar²

3rd term (T3) = 24

Common ratio (r) = 2/3

First term (a) =?

24 = a(2/3)²

24 = 4a/9

Cross multiply

24 × 9 = 4a

216 = 4a

Divide both side by 4

a = 216/4

a = 54

Thus, the first term (a) is 54

B. Determination of the sum of the first five terms.

Common ratio (r) = 2/3

First term (a) = 54

Number of term (n) = 5

Sum of first five terms (S5) =?

Sn = a[1 –rⁿ] / 1 – r

S5 = 54[1 – (⅔)⁵] / 1 – ⅔

S5 = 54 [1 – 32/243] / ⅓

S5 = 54 (211/243) × 3

S5 = 54 × 211/81

S5 = 6 × 211/9

S5 = 2 × 211/3

S5 = 422/3

Thus, the sum of the first five terms is 422/3

8 0

3 years ago

A store manager instructs some new trainees that a leather chair priced at 200$ winds up costing A customer $218 once the sales

Ulleksa [173]

Answer:

9.00%

Step-by-step explanation:

So, we would do

18 divided by 200 = 9.00%

Therefore your answer will be 9.00%

Hope this helps!

5 0

3 years ago

Be sure to round to 4 sig fig for your answer.

Tresset [83]

Answer:

1) 1.203

2) 1.291

Step-by-step explanation:

1 mL = 0.001 L

1202.57120 mL = <u>1.202</u>57120 L

round to 4 sig fig = 1.203

1g = 10dg

0.1290743 g = <u>1.290</u>743 dg

round to 4 sig fig = 1.291

4 0

3 years ago

Drag each tile to the correct box

ValentinkaMS [17]

Answer:

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

Step-by-step explanation:

The solutions of the mathematical expression are calculated as follows;

$1. \ \ (4.3\times 10^6)(9.8\times 10^{-4}) = (4.3\times 9.8\times 10^{6-4}) = (42.14\times 10^2)= 4.214 \times 10^3$

$2. \ \ (2.9\times 10^7)(1.6\times 10^{-9}) = (2.9\times 1.6\times 10^{7-9}) = 4.64\times 10^{-2}$

$3. \ \ \frac{(4.7 \times 10^3)(8.6\times 10^{-7})}{(3.8\times 10^{-4})(6.1 \times 10^2)} = \frac{(4.7\times 8.6\times 10^{3-7})}{(3.8\times 6.1\times 10^{-4+2})} = \frac{4.042 \times 10^{-3}}{2.318\times 10^{-1}} = 1.743\times 10^{-2}$

$4. \ \ (4.9\times 10^3)(7.4\times 10^{-6}) = (4.9\times 7.4\times 10^{3-6}) = 3.626\times 10^{-2}$

$5. \ \ \frac{(3.9 \times 10^5)(8.7\times 10^{-3})}{(3.7\times 10^{-5})(2.9 \times 10^8)} = \frac{(3.9\times 8.7\times 10^{5-3})}{(3.7\times 2.9\times 10^{-4 +8 })} = \frac{3.393 \times 10^{-1}}{1.073\times 10^{-3}} = 3.162\times 10^{2}$

Arranging the solutions from the least to the highest;

1. 1.743 x 10⁻²

2. 3.626 x 10⁻²

3. 4.64 x 10⁻²

4. 3.162 x 10²

5. 4.214 x 10³

4 0

3 years ago

Read 2 more answers