What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

11-30x+24. what is this answer

zavuch27 [327]

Answer:

-30x+35

Step-by-step explanation:

Add 11 and 24

3 0

2 years ago

Yu and Elena each bought between 7 and 9 yards of ribbon. Yu

Mumz [18]

Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.

To find: Who can buy which ribbon

Solution:

Ribbon Sizes

1 2/3 = 5/3 yard

4/5 yard

3 1/2 = 7/2 Yard

Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon

Yu bought 3 pieces of ribbon

=> 3 * 5/3 = 5

3 * 4/5 = 2.4

3 * 7/2 = 10.5

Nailah bought 5 pieces of ribbon

=> 5 * 5/3 = 8.33

5 * 4/5 = 4

5 * 7 /2 = 17.5

Elena bought 6 pieces of ribbon

=> 6 * 5/3 = 10

6 * 4/5 = 4.8

6 * 7 /2 = 21

Only value between 7 & 9 is 5 * 5/3 = 8.33

hence Nailah only can buy 1 2/3 = 5/3 yard ribbon

or there is some mistake in the data

6 0

1 year ago

A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip

DochEvi [55]

Answer:

The expression that represents the population of elk is: $\text{elk}(t) = 2*3^t$ . It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at $\text{elk}(0) = 2$ , then after the first year the population will be:

$\text{elk}(1) = \text{elk}(0)*3 = 2*3$

While on the second year, it'll be:

$\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2$

On the third year:

$\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3$

And so on, therefore the expression that describes the population of elk as the years passes is:

$\text{elk}(t) = 2*3^t$

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

$1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6$

The population will reach 1,458 elk in 6 years.

8 0

2 years ago

Select the correct answer. Lacy is making a new sail for her boat. The sail needs to have the given dimensions. Approximately ho

Julli [10]

70.1 ft² of fabric is needed by Lacy to make the sail boat.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let b represent the base of the triangle and h the height, hence:

sin(60) = h / 18

h = 15.6 feet

sin(30) = b / 18

b = 9 feet

The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²

70.1 ft² of fabric is needed by Lacy to make the sail boat.

Find out more on Trigonometric ratio at: brainly.com/question/6459892

3 0

1 year ago

Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth. 3, 15, 3, 3, 1, 11, 2, 8, 3, 7, 1

zubka84 [21]

The mode is 3. The median is 3. The mean is 6.45 and rounded to the nearest tenth is 6.5. So the mean is 6.5.

6 0

2 years ago