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4 years ago

12

a ruby throated hummingbird beats its wings 159 times in 3 seconds how many times does the ruby throated hummingbird beat its wi

ngs per second

1 answer:

notsponge [240]4 years ago

4 0

53 times a second because if you divide 3 by 159 you will get 53.

Your welcome

'-'

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Point-Slope Form! PLEASE need help ASAP! Question is in picture!

weqwewe [10]

Hey there!

To start, the point slope form of an equation is as follows:
y-y1=m(x-x1)

y1= the value of the y value in the pair of coordinates
x1= the value of the x values in the pair of coordinates
m= the slope

Because you appear to already have a set of points to plug in for y1 and x1, all you need now is the slope.

As stated in the question, one of the coordinate points in which the equation passes through is the intersection of the lines 3x-y=3 and x+2y=15. **note: the reason you must find the intersection of the two points is because you need two sets of coordinate points in order to calculate the slope of the line that passes through the points.

To find the intersection of these lines, solve the equations for y and graph the equations:
3x-y=3
-y=-3x+3
y=3x-3

x+2y=15
2y=-x+15
y=-1/2x+15/2
(the graph is in the image below)

The point of intersection would be (3,6)

Now that you have two sets of coordinate points, (3,6) and (2,1), you can plug these values into your slope intercept equation to calculate your slope:
(y2-y1)/(x2-x1)
(1-6)/(2-3)
-5/-1
=5

Your slope, or m value would be 5.

Now that you have at least one set of coordinate points and a slope value, you can plug in either set of points and your slope to get either one of the following point slope equations as your answer:
y-1=5(x-2)
or
y-3=5(x-6)

Hope this helps! :)

3 0

3 years ago

The sum of 5 consecutive even numbers is 180 what is the first number in the sequence

Anit [1.1K]

First, a even number in general could be written as 2k for any k ( k is any integer number).

Let x_1, x_2, x_3, x_4, x_5 the 5 consecutive even numbers, then,

x_1 + x_2 + x_3 + x_4 + x_5 = 180. But for the first commentary, any of the x_i's are even numbers, so, are of the form 2k_i, but, they are consecutive, think about the sequence: 2,4,6,8,10, we could written as 2(1) + 2 (2) + 2(3) + 2(4) + 2(5), the numbers between (), are the k's and are consecutive, and we could write consecutive numbers as x, x+1, x+1 +1 = x+2, (x+2)+1, etc.

So, for the previous commentary, we rewrite

x_1 + x_2 + x_3 + x_4 + x_5 = 180

as

2k + 2(k+1) + 2(k+2) + 2(k+3) + 2(k+4) = 180

is equivalent to (factorizing 2)

2 [k + k+1 + k+2 +k+3 +k+4 ] = 180

(divide both sides by 2)

[k + k+1 + k+2 +k+3 +k+4 ] = 90

(simplifyng the expression)

5k+10 = 90

(substracting 10 in both sides)

5k = 80

(divide both sides by 5)

k = 16

then, the first number is x_1 = 2k = 2(16) = 32

Now, we can check, the corresponding sequence was

32 + 34 +36 +38 +40 = 180.

6 0

3 years ago

University dean is interested in determining the proportion of students who receive some sort offinancial aid. rather than exami

vladimir2022 [97]

The confidence interval is
$0.59\pm0.081$

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by
$ME=z\sqrt{\frac{p(1-p)}{n}}
\\
\\=2.33\sqrt{\frac{0.59(1-0.59)}{200}}=2.33\sqrt{\frac{0.2419}{200}}\approx0.081$

This gives us the confidence interval
$0.59\pm0.081$

8 0

4 years ago

in the gym one sixth of the students are 5th graders one third are fourth graders and one fourth of the remaining students are 3

Sati [7]

Dear Sunshine76, first add 1/6+1/4+1/3=3/4. Then, find 3/4 of 96 to get 24 students in 3rd grade.

5 0

3 years ago

Supposed U = {-10, -9, -8, -7, -6, -5, -4, -3, -2, -1} is the universal set and K = {-10, -8, -6, -4, -2}. What is K’?

Ilia_Sergeevich [38]

Answer:

-9

Step-by-step explanation:

-9,

3 0

3 years ago