what is the exact value of x

Final answer:

To find the area of Ms. Hendricks' rectangular land, multiply the lengths of the sides (2/5 mile and 5/6 mile), resulting in an area of 1/3 square mile.

Explanation:

The area of a rectangular piece of land is calculated by multiplying the length by the width. For Ms. Hendricks' piece of land, which measures 2/5 mile on one side (length) and 5/6 mile on an adjacent side (width), you would calculate the area by multiplying these two dimensions together:

So, the calculation for the area would be:

(2/5) mile * (5/6) mile = (2*5)/(5*6) square miles = 10/30 square miles = 1/3 square mile.

Therefore, the area is 1/3 square mile.

Answer:

nth term = x²+3

50th term = 2503

100th term = 10003

Solving for L , we get A/W= L

Equations of degree 1 are called Linear Equation

To solve the above equation for the variable L . We need to isolate the variable on one side of the equation with the other terms on the other side

Given liner equation :

A= LW

In order to get L , need to isolate L and need to divide whole equation by W

A/W = LW/W

A/W= L

Learn more about Linear Equation

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In Barb's necklace pattern, white beads occur at position numbers 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is that any white bead will appear at a position that is 4n + 1, where n is any non-negative integer.

The student's question involves determining the position numbers of the first eight white beads in a pattern and identifying a rule for this pattern. The pattern established by Barb is one white bead followed by three blue beads, which then repeats. To find the positions of the first eight white beads, let's enumerate the pattern until we have identified eight white beads.

As we can see, the white beads appear in a consistent pattern at every fourth position in the sequence. Thus, by listing out the pattern, we can identify the first eight white beads' position numbers as follows:

The rule for the pattern can be described as follows: any white bead will be at a position number that is 1 more than a multiple of 4 (i.e., 4n + 1, where n is a non-negative integer).

The first eight white beads in Barb's necklace pattern are in positions 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is 4n - 3 for the nth white bead.

Barb is making a bead necklace with a repeating pattern: 1 white bead, followed by 3 blue beads, and then the pattern repeats. To determine the numbers for the first eight beads that are white, we can examine the pattern more closely. Since the pattern begins with a white bead and every white bead is followed by three blue beads, we can deduce that it takes 4 beads in total to complete one cycle of the pattern (1 white + 3 blue).

The positions of the first eight white beads are as follows: 1st, 5th, 9th, 13th, 17th, 21st, 25th, and 29th. The rule for this pattern can be expressed as follows: To find the position of any white bead in the sequence, you can use the formula 4n - 3, where n represents the nth white bead in the sequence.

For example, to find the position of the third white bead, we substitute n with 3 into our formula: 4 * 3 - 3, which equals 9. Therefore, the third white bead is the 9th bead in the overall pattern.

Final answer:

24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

Explanation:

To divide £24.50 in the ratio 3:4, you first need to add the parts of the ratio together, which gives you 3 + 4 = 7 parts in total.

Then, you should divide the total amount of money by the total number of parts to find the value of one part.

In this case, £24.50 ÷ 7 = £3.50 per part.

Since the ratio is 3:4, you multiply the value per part by the number of parts for each portion of the ratio.

For the first part of the ratio, you multiply £3.50 by 3, giving £10.50. For the second part, you multiply £3.50 by 4, giving £14.00.

Hence, £24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

Answer with Step-by-step explanation:

Diameter of larger circle=8

Diameter of smaller circles=4

We know that radius is half times the diamketer

and Area=πr² where r is the radius

Radius of larger circle=4

Radius of smaller circles=2

Area of larger circle=π×4²

                                =16π

Area of two smaller circles=2×π×2²

                                           = 8π=one-half the area of larger circle

Area of one small circle=π×2²

                                       =4π=one fourth the area of larger circle

Hence, the correct options are:

1.The radius of the large circle is 4.

2.The radii of the small circles are each 2.

6.The total area of the two small circles will be one-half of the area of the large circle.

Answer:

[x+x] + [x+x+x] = [2x] + [3x] = 5x

[x+x+x] + [x+x+x] = [3x] + [3x] = 6x

Hope this helps :)

The average rate of change of the sequence from n = 2 to n = 4 is 1.5, which is determined by calculating the difference in sequence values for these n values and dividing by the difference in n.

The average rate of change of a function between two points reflects the function's slope between those points. To find the average rate of change of the sequence [tex]a_n = \frac{1}{2} (2)^{n - 1}[/tex]from n = 2 to n = 4, we calculate the differences in the sequence values corresponding to these n values and divide by the difference in n itself.

Therefore, the average rate of change between n = 2 and n = 4 for this sequence is 1.5.