Prove it is rational by writing it as a quotient of two integers. Please answer these problems, I need to check my answers. Ignore the blank ones, I was able to check them. Thank you!
1. 2.4

2. 74

3. 17.3333333…

4. π

5.

6. –18


7.

8. 87.125

9. –30

10. –8.3

11. 58.25

12. 121

13. 4.5

14.

To treat an area of 165 square yards, you would need 11 jugs of plant food.

To find out how many jugs would be needed to treat an area of 165 square yards, we need to convert the area to square feet and then divide by the area treated by one jug of plant food.

1 square yard = 9 square feet, so 165 square yards = 165 × 9 = 1485 square feet.

Now, since one jug treats an area of 135 square feet, the number of jugs needed is 1485 ÷ 135 = 11 jugs.

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The vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

In a right angle triangle, the ratio of the opposite side to the adjacent side is equal the tangent angle between the adjacent side and hypotenuse side.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the adjacent side, (b) is the opposite side.

Let the height of the blimp from the ground is y ft and the length of the ground to the Libby's position is x ft shown in the attached image below.

As the angle made by the Libby at the height of the blimp is 43 degrees. Therefore,

[tex]\tan43=\dfrac{y}{x}\\x=1.0724y[/tex]          ......1

Here, Jay is mowing the lawn approximately 2,500 feet (ft) from Libby when they both see the blimp.

Libby looks up from her gardening at an angle of while Jay looks up at an angle of 35 degrees. Therefore,

[tex]\tan35=\dfrac{y}{x+2500}[/tex]

Put the value of x in the above equation from equation one as,

[tex]\tan35=\dfrac{y}{1.0724y+2500}\\0.7002(1.0724y+2500))=y \\y\approx7027 \rm \; ft[/tex]

Hence, the vertical height of the blimp above the ground, which is seen by Jay and Libby while working outside, is 7027 ft.

Learn more about the right angle triangle property here;

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Answer:

could u be more spasific?

Step-by-step explanation:

Final answer:

The circumference of a circle with a radius of 4 units can be calculated using the formula C = 2πr, which equals approximately 25.13 units when using π as 3.14159.

Explanation:

To determine the circumference of a circle with a radius of 4 units, we need to use the circumference formula:

C = 2πr

Where C represents the circumference, π (pi) is approximately 3.14159, and r is the radius of the circle.

π is a special mathematical constant that represents the ratio of the circumference of any circle to its diameter, and for most practical calculations, it can be approximated as 3.14. Therefore, plugging the radius (4 units) into the formula we get:

C = 2 x 3.14159 x 4

C = 8 x 3.14159

C = 25.13272 units

We can round this answer to two decimal places for simplicity, obtaining:

C = 25.13 units

So, the circumference of a circle with a radius of 4 units is approximately 25.13 units.

The circumference of a circle with a radius of 4 units is approximately 25.12 units.

The circumference of a circle can be found using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the radius is given as 4 units, so we can substitute that value into the formula to find the circumference.

C = 2π(4) = 8π units.

Since π is approximately 3.14, we can approximate the circumference as:

C ≈ 8 x 3.14 = 25.12 units.

Therefore, the circumference of the circle with a radius of 4 units is approximately 25.12 units.

Answer:

The scale of the drawing is 6

Step-by-step explanation:

Given

Actual Length of Rose = 1.5 feet

Scale drawing of rose = 3 inches

First, we need to equalize both units (by converting feet to inches or inches to feet)

Convert the actual length of rose to inches

If 1 foot = 12 inches

Then 1.5 feet =  12 * 1.5 inches

1.5 feet = 18 inches

Now that we have a single unit for both measurement;

Using the scale factor formula

y = Cx,

where C is the scale factor for x.

y is the measurement of the actual rose = 18 inches

x is the scale drawing of the rose = 3 inches

By substitution; y = Cx,  becomes

18 inches = C * 3 inches --- Make C the subject of formula

C = 18 inches / 3 inches

C = 6

Hence, the scale of the drawing is 6

The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

We are given the mean and mean absolute deviation of two teams in a table as:

                                              Team A           Team B

             Mean                        127.9 s             127.4 s

Mean Absolute Deviation     0.26 s             0.23 s

The difference of mean between two team is: 0.5 s

( Since 127.9-127.4=0.5 s)

Also, the difference of Mean absolute deviation is: 0.03 s

( Since, 0.26-0.23=0.03 s)

Now let the difference of the mean times be equal t n times the difference  of the mean absolute deviation of two teams

i.e.

      0.5=n×0.03

⇒ n=0.5/0.03

⇒ n=16.6667

which is approximately equal to 16.

Hence, The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

The correct scenario is B) She picked nine flowers from each of 3 flower beds.

The question posed asks which scenario accurately describes the mathematical expression 9×3 in the context of picking flowers.  The expression 9×3 implies that the number 9 (the number of flowers picked from one bed) is multiplied by 3 (the total number of beds from which flowers are picked), thus resulting in a total count of flowers picked. Therefore, the multiplication of these two numbers indicates repeated addition, such as picking a set number of flowers from multiple identical sets.

Additionally, if we were to consider other aspects such as flower color ratios or Darwinian genetics, we could take example scenarios such as: "50% of the flowers are blue and 50% of the flowers are red" or "You would expect 300 homozygous dominant blue flowers, 300 heterozygous blue flowers, and 200 homozygous recessive red flowers", but these do not pertain directly to the mathematical operation represented by 9×3 in this context.

Given that "Olga wrote all the natural numbers from 1 to k. Including 1 and k"

So Olga write k numbers.

lets take an example

if k = 10 , then natural numbers between 1 and 10 are 10 numbers that are 1 , 2 , 3 ,4 ,5 ,6 , 7 , 8 ,9 and 10.

Hence she write k numbers.

Answer:

The frequency of the wave is 109.52 Hz.

Step-by-step explanation:

Given : A wave traveling at 230 m/sec has a wavelength of 2.1 meters.

To find : What is the frequency of the wave?

Solution :

We know that,

[tex]\text{Velocity} =\text{ Wavelength}\times \text{Frequency}[/tex]

We have given,

Velocity of wave is 230 m/s.

Wavelength is 2.1 meters.

Substitute in formula,

[tex]230 =2.1\times \text{Frequency}[/tex]

[tex]\text{Frequency}=\frac{230}{2.1}[/tex]

[tex]\text{Frequency}=109.52[/tex]

Therefore, The frequency of the wave is 109.52 Hz.

65%, is the answer why is the question/??? BECAUSE I SAID SO

Answer:

361 is the correct answer

To find the best long-distance phone charge, the unit prices for both options are calculated. The $1.40 charge for 10 minutes has a unit price of $0.14 per minute, while the $4.50 charge for 45 minutes is $0.10 per minute. Hence, the $4.50 option is better.

To determine the better long-distance phone charge, we can calculate the unit price for each option by dividing the total cost by the number of minutes.

Comparing the two unit prices, the charge of $0.10 per minute for 45 minutes is the better option since the cost per minute is lower.