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9 days ago

A hummingbird can travel up to 15 meters per second. What is the hummingbirds speed in miles per hour? 1 mile = 1609 meters

2 answers:

8 0

Answer: 33.56 miles per hour. Step-by-step explanation: First, we calculate how many meters the hummingbird can cover in one hour (in meters). It can travel up to 15 meters per second, and one hour equals 3600 seconds (since an hour has 60 minutes, each with 60 seconds, for a total of 60 x 60 = 3600). Thus, in one hour, the hummingbird travels 3600 x 15 = 54,000 meters. Now, given that 1 mile equals 1609 meters, we will convert 54,000 meters into miles per hour using a proportion: 1 mile is to 1609 meters as x miles is to 54,000 meters. Solving for x gives us x = 54,000 / 1,609 = 33.56 miles. Therefore, the speed of the hummingbird is 33.56 miles per hour.

Leona [9.2K]9 days ago

7 0

A hummingbird typically flies at a speed ranging from 25 to 30 miles per hour and can dive rapidly at speeds reaching up to 60 miles per hour. A: Yes. A cheetah can run at approximately 70 miles per hour, while a hummingbird flies at a speed around 25-30 miles per hour.

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I JUST NEED THESE 3 QUESTIONS

AnnZ [9099]

Answer:

1. What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?

Answer: The amplitude is 80 ft and the period is 60 ft.

2. Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?

Answer: y = 80cos(x*π/30)+80

3. When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?

Answer: y = 40cos(x*π/30)+80

4. Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?

Answer: y = 40cos(x*π/30)+40

Step-by-step explanation:

8 0

27 days ago

If rs 500 amounts to Rs 725 at 9% simple interest in sometime ,what will Rs 600amount to at 11% in same time?

AnnZ [9099]

Answer:

$Rs\ 930$

Step-by-step explanation:

The formula for calculating simple interest is

$A=P(1+rt)$

Here,

A refers to the Total Amount of Investment

P denotes the Initial Investment

r indicates the interest rate

t represents the duration in time periods

step 1

Determine the duration t

For this scenario, we have

$t=?\ years\\ P=Rs\ 500\\ A=Rs\ 725\\r=0.09$

Plugging into the formula above and solving for t

$725=500(1+0.09t)$

$t=[(725/500)-1]/0.09$

$t=5\ years$

step 2

What will Rs 600 grow to at 11% over the same duration?

We have

$t=5\ years\\ P=Rs\ 600\\ A=?\\r=0.11$

Insert into the formula

$A=600(1+0.11*5)$

$A=600(1.55)$

$A=Rs\ 930$

6 0

21 day ago

Suppose your statistics professor reports test grades as z-scores, and you got a score of 1.57 on an exam. a) Write a sentence

tester [8842]

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

$z =\frac{x -\mu}{\sigma}$

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b) $P(Z$

Using the normal standard distribution or Excel, we computed:

$P(Z$

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

$z =\frac{x -\mu}{\sigma}$

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

$P(Z$

Using the normal standard distribution or Excel, we discovered:

$P(Z$

This represents 2.275% of the data.

6 0

1 month ago

What values of b satisfy 3(2b + 3)2 = 36?

Inessa [9000]

To determine the values of b that fulfill 3(2b+3)^2 = 36

we start with
3(2b+3)^2 = 36
Divide both sides by 3
(2b+3)^2 = 12
Next, take the square root of both sides
(2b+3)} = (+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3

b1=\frac{\sqrt{12}}{2} -\frac{3}{2}
b1=\sqrt{3} -\frac{3}{2}

b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}
Thus,

the solutions for b are
b1=\sqrt{3} -\frac{3}{2}
b2=-\sqrt{3} -\frac{3}{2}

9 0

25 days ago

Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks for $200.25, $359.45, $125, and $299.35. Then

Leona [9271]

1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70

475.70 + 375.00 = 850.70

After settling the bills and deposit, her account shows a balance of $850.70

8 0

11 days ago

Read 2 more answers