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2 years ago

12

A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the lengt

h of the field?

1 answer:

BartSMP [9]2 years ago

4 0

I think it's another trick question and the answer is 2000.

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Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the son

BigorU [14]

In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.

<h3>What are fractions?</h3>

That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).

When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).

We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply

top × top and bottom × bottom

4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.

= (4 × 3)/(5 × 4)

= 12 / 20

= 3 / 5

Therefore, the correct answer is 3/5.

To learn more about fractions refer to:

brainly.com/question/571030

#SPJ4

4 0

1 year ago

1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_

aksik [14]

Answer:

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

$a_{n+1}=2\cdot a_n + 1$ and $a_1 = 1$

Then, the next table can be computed (only the first terms are explicitely shown)

n $a_n$

1 1

2 $a_{2}=2\cdot 1 + 1 =$ 3

3 $a_{3}=2\cdot 3 + 1 =$ 7

4 15

5 31

6 63

7 127

8 255

9 511

10 1023

2)

Given

$t_n=n^2-2n$

Then, the next table can be computed

n $t_n$

1 $t_1=1^2-2(1) =$ -1

2 $t_2=2^2-2(2) =$ 0

3 $t_3=3^2-2(3) =$ 3

4 $t_4=4^2-2(4) =$ 8

4 0

3 years ago

Imelda planted vegetables in of her garden. She divided the other half of her garden into 3 equal sections. She planted rose bus

ziro4ka [17]

The sections of the garden is an illustration of fractions

The number sentence best shows whether Imelda is correct is 1/2 ÷ 3

<h3>How to determine the number sentence?</h3>

From the question, we understand that she plants in 1/2 of the garden

Then 1/2 of the garden is divided into 3 sections, one of which is used to plant tulips

So, the area in which tulips are planted is:

Tulip = 1/2 ÷ 3

Hence, the number sentence best shows whether Imelda is correct is 1/2 ÷ 3

Read more about number sentence at:

brainly.com/question/24744861

7 0

2 years ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standar

zysi [14]

Answer:

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.02 = 0.98$ , so $z = 2.055$

Now, find the margin M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 40, M = 10$

$M = z*\frac{\sigma}{\sqrt{n}}$

$10 = 2.055*\frac{40}{\sqrt{n}}$

$10\sqrt{n} = 82.2$

$\sqrt{n} = 8.22$

$n = 67.6$

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

6 0

2 years ago

Which statement best describes a radius of a circle?

Anika [276]

It is a line that intersects the circle at exactly two points on the diameter

Reasons.
A radius cannot be defined as a segment because a segment does not go through the center of the circle. A radius also does not touch two parts of a circle.

8 0

2 years ago