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3 years ago

Which is the value of the 8th term in the sequence 4,8,16,32...?

Mathematics

1 answer:

OLga [1]3 years ago

8 0

Answer:

The answer is 512

Step-by-step explanation:

4) 32 x 2=60

5) 64 x 2= 128

6) 128 x 2= 256

7) 256 x 2 = 512

8) answer - 512x2=1,024

Multiply each product by 2!

You might be interested in

If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0

3 years ago

Read 2 more answers

A walkway forms one diagonal of a square playground. The walkway is 22 m long. How long is a side of the playground?

nadya68 [22]

You can think of a square as two isosceles right angle triangles and use Pythagoras.

x^2 + x^2 = 22^2
x^2 + x^2 = 484
2x^2 = 484
x^2 = 242
x = 11√2

One side of the playground is 11√2 m long.

5 0

4 years ago

In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=3.1 in. and CD=7.2 in..

vodomira [7]

Answer:

4.72 in.

Step-by-step explanation:

BC = 3.1 in.

CD = 7.2 in.

Altitude of right triangle altitude is given as $h = \sqrt{xy}$ , where:

h = altitude

x = 3.1 in.

y = 7.2 in.

Plug in the values into the formula

$h = \sqrt{3.1*7.2}$

$h = \sqrt{22.32}$

$h = 4.72 in.$ (nearest hundred)

5 0

3 years ago

Read 2 more answers

She completes the problem as seen in the steps below.

prisoha [69]

Answer:

• All her steps are right, and the answer is right as well

Step-by-step explanation:

$2(x + 1) + 1 = 5 \\ 2(x + 1) = 5 - 1 \\ 2(x + 1) = 4 \\ \\ \frac{2(x + 1)}{2} = \frac{4}{2} \\ \\ x + 1 = 2 \\ x = 2 - 1 \\ x = 1$

5 0

3 years ago

Read 2 more answers

Alma is estimating the proportion of students in her school district who, in the past month, read at least 1 book. From a random

Maurinko [17]

Answer:

$(0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })$

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

Step-by-step explanation:

Step:-1

Given that the random sample size 'n' = 50

The sample proportion

$p^{-} = \frac{32}{50} = 0.64$

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

$(p^{-} - Z_{0.90} \sqrt{\frac{p(1-p)}{n}, } , p^{-} +Z_{0.90} \sqrt{\frac{p(1-p)}{n} })$

Step(ii):-

Level of significance = 0.90

Z₀.₉₀ = 1.645

$(0.64 - 1.645 \sqrt{\frac{0.64(1-0.64)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(1-0.64)}{50} })$

$(0.64 - 1.645 \sqrt{\frac{0.64(0.36)}{50}, } , 0.64 +1.645 \sqrt{\frac{0.64(0.36)}{50} })$

(0.64 -1.645(0.06788) , (0.64 + 1.645(0.06788)

(0.52846 , 0.75166)

Final answer:-

90 percent confidence interval for the proportion of all students in her district who read at least 1 book last month

(0.52846 , 0.75166)

5 0

3 years ago