Find any ten rational numbers between-5/6 and 5/8

Answer:

D. [tex] y - y_0 = m(x - x_0) [/tex].

Step-by-step explanation:

The equation of a line can be written in the point-slope form if we know the the coordinates of a point the line passes through which is [tex] (x_0, y_0) [/tex]. And if we also know the slope = m of the line.

Therefore, the point-slope equation is given as:

[tex] y - y_0 = m(x - x_0) [/tex]

Answer:

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Step-by-step explanation:

The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].

We need to factorize it.

We know that, 16² = 256

So,

[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Hence, this is the required solution.

Is this a true or false?

Answer:

50 times in 1 second

Step-by-step explanation:

I don't know what your specific question, but I'm guessing you wanted divide to see how many times they flap their wings in 1 second. :)

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

Answer:

4 1/9

Step-by-step explanation:

Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9

Answer: The rates of change for both function A and function B are positive : TRUE

The rates of change for functions A is 3 times the rate of change for function B : FALSE

The y - intercepts for both Function A and Function B are positive : FALSE

Step-by-step explanation:

Answer:

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Step-by-step explanation:

For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a vehicle having all defective fuses:

5% of fuses are defective, which means that [tex]p = 0.05[/tex]

A vehicle has 4 fuses, which means that [tex]n = 4[/tex].

This probability is P(X = 4). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]

If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?

For each vehicle, 0.00000625 probability of having all defective fuses. For 2:

[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]

[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses

Answer:

its ok don't worry

Step-by-step explanation:

its a mental answer

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

Answer:

Speed= 0.6666667 miles per hour

Step-by-step explanation:

You can find the average speed of an object if you know the distance traveled and the time it took. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time.

Answer:

A=44yd²

Step-by-step explanation:

Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too

Step-by-step explanation:

A dotted line is there to represent that the equation your graphing is either grater than or less than

So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.

I hope this helps!

Answer:

Not true. Actually, 1 2/3 equals 5/3.

Answer:  No

Step-by-step explanation:

If we were to change 1 2/3 into an improper fraction, it would be 5/3.  This is expressed as 5:3, not 3:5.  These two ratios are not the same.  Therefore, Jill is not correct.

Hope this helped :)

Answer:

8 feet

Step-by-step explanation:

Volume = length * width * height

Substitute the values.

288 = 9 * 4 * height

Divide both sides by 36

height = 288/36

height = 8 feet

Answer:

1288 c m 3

Step-by-step explanation:

To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =  

1212.5 c m 3  .

The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is  

1288 c m 3  .

Answer:

C and B

Step-by-step explanation:

If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.

Compute the derivative using implicit differentiation:

d/dx [xy ^2 + y] = d/dx [2x]

d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]

(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2

2xy dy/dx + y ^2 + dy/dx = 2

(2xy + 1) dy/dx = 2 - y ^2

dy/dx = (2 - y ^2) / (2xy + 1)

Plug in x = 1 and y = 1 :

slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3

Now use the point-slope formula to get the equation of the line:

y - 1 = 1/3 (x - 1)

y = x/3 + 2/3

Answer:

A. -21

Step-by-step explanation:

y varies directly as x

y = kx

----------------------

y = 15 when x = -5

Find k, the constant of variation

15 = k(-5)

Divide both sides by -5

-3 = k

k = -3

------------------------------

y when x= 7

using k = -3

y = -3(7)

y = -21

Answer:

Step-by-step explanation:

they get 4%  or 4 out of ever 100.  that's 25 for one AB donation.

Answer

The area is 54cm² To get the area i split the shape into two shape both having a length of 9in and a width of 3in. I calculate the area for one by using lxw=area and get 27 and times that by two to get 54.

When calculating the area for this object you get 54 and you add the ²symbol because its area is not one dimensioned it is two dimensioned or length times width not just length, so you use the ² symbol to show that.

Answer:

the answer is

b.)42cm2

Step-by-step explanation:

if u add all the figures together u will get ur answer

Answer:

A) 60

Step-by-step explanation:

Find two points that intersect with the grid.

(0,0) and (1, 60)

Subtract the second y value from the first y value. Do the same to the X-values.

Write this as a fraction with the y values over the x-values.

60-0= 60

-------------

1 - 0 = 1

60/1 = 60

Answer:

your answere is 80 degrees

Step-by-step explanation:

the total of the inside is 180 so subtract 35 and 65 from 180 and you get 80

Answer:

C. The height of the tide 30 hours after the original observation is 8 feet.

Step-by-step explanation:

I calculated it logically

Answer:

15.3

Step-by-step explanation:

Cos 32 = x/18

Cos 32 = 0.848048096

x/18 = 0.848048096

x = 15.3 (rounded)

Answer:

a)

We know that:

a, b > 0

a < b

With this, we want to prove that a^2 < b^2

Well, we start with:

a < b

If we multiply both sides by a, we get:

a*a < b*a

a^2 < b*a

now let's go back to the initial inequality.

a < b

if we now multiply both sides by b, we get:

a*b < b*b

a*b < b^2

Then we have the two inequalities:

a^2 < b*a

a*b < b^2

a*b = b*a

Then we can rewrite this as:

a^2 < b*a < b^2

This means that:

a^2 < b^2

b) Now we know that a.b > 0, and a^2 < b^2

With this, we want to prove that a < b

So let's start with:

a^2 < b^2

only with this, we can know that a*b will be between these two numbers.

Then:

a^2 < a*b < b^2

Now just divide all the sides by a or b.

if we divide all of them by a, we get:

a^2/a < a*b/a < b^2/a

a < b < b^2/a

In the first part, we have a < b, this is what we wanted to get.

Another way can be:

a^2 < b^2

divide both sides by a^2

1 < b^2/a^2

Let's apply the square root in both sides:

√1 < √( b^2/a^2)

1 < b/a

Now we multiply both sides by a:

a < b

Answer:

[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]

Step-by-step explanation:

Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]

Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]

Area of the rectangle = Length × Width

                                    = [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]

                                    = [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)}{2(x-2)}[/tex]

Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].