A drive has a maximum speed of 10000 revolutions per minute. If a disc has a diameter of ​12 cm what is the linear​ speed, in​ km/h, of a point 4cm from the center if the disc is spinning at a rate of 7000 revolutions per​ minute?

Answer: y<1x-2

Step-by-step explanation:

Find some coordinates on the line to write a slope intercept form equation for the line and turn it into inequality.

First we need to find the slope and the y-intercept. The y intercept is when x is 0 and as we can see it  already indicates that the y intercept is -2 .

(0,-2)

(2,0)   Use these points o the find the slope.

0- 2 = -2

-2 -0 = -2

-2/-2 = 1   The slope is one so the equation will be y = 1x - 2   But since this is not an inequality we have to change the equal to sign to an inequality sign.

Looking at the line, it is a dashed line so the inequality sign will be > or <  

The painted side of the graph represents the solutions of the graph  and that is all underneath the graph so the inequality will be   y < 1x-2

Answer:

h = -9

Step-by-step explanation:

Distribute the 2 to the parentheses:

5h + 2(11 - h) = -5

5h + 22 - 2h = -5

Add like terms:

3h + 22 = -5

3h = -27

h = -9

Answer:

h = -4.5

Step-by-step explanation:

5h + 2(11-h) = -5

5h + 2(11-h)

+h          +h

6h + 2 x 11 = -5

6h + 22 = -5

    - 22     -22

6h = -27

/6     /6

h = -4.5

I hope this helps, I know the explanation is kinda confusing but I tried my best to explain :))

Answer:

yes

Step-by-step explanation:

|-12| = |12| they always equal to 12

Answer:

true

Step-by-step explanation:

when you put the 2 lines on the left and right side of a (negative) number, it instantly becomes a positive

Answer:

8

Step-by-step explanation:

2x + 6y = 4

Since, graph passes through (x, - 2)

Therefore, plug y = - 2 in the above equation.

2x + 6*(-2) = 4

2x - 12 = 4

2x = 12 + 4

2x = 16

x = 16/2

x = 8

Answer:

Bionic Woman wins by 4 seconds.

Step-by-step explanation:

Given:

Speed of Batman = 3 km/min

Speed of Bionic woman = 5 km/min

Total distance = 2 km

Start given to Batman = 12 seconds

To find:

Winner of the race and by how many seconds?

Solution:

Start given to Batman = 12 second start

Let us find the Distance traveled by Batman in 12 second.

12 seconds = [tex]\frac{1}{5}[/tex] minutes

[tex]Distance = Speed \times Time[/tex]

[tex]Distance = 3 \times \frac{1}{5} = 0.6\ km[/tex]

Hence, distance left for batman to be traveled = 2 - 0.6 = 1.4 km

Time taken by Batman = [tex]\frac{1.4}{3} \times 60[/tex] seconds = 28 seconds

Distance for Bionic woman to be traveled = 2 km with 5 km/min

Time taken by Bionic Woman = [tex]\frac{2}{5}[/tex] minutes = 24 seconds

Bionic woman is taking lesser time, So the winner of the race will be Bionic woman.

She will win by 28-24 = 4 seconds

So, answer is:

Bionic Woman wins by 4 seconds.

Answer: x = 2, x = 3 ( whichever is m and whichever is n )

Step-by-step explanation: h

x^2 + 6x - 5 = 0

( x - 2 ) ( x - 3 ) you take the x^2 and you split it into separate groups

the negatives will give you a positive 6, but also a negative 5. you want to use multiples of 6 to add up to -5. so you do ( x - 2 ) and ( x - 3 ) and it doesn't matter what order you do the numbers!! both are negative trying to add up to a negative.

then you want to get x.

x - 2 = 0

add two to the 0 and x = 2

then the other x

x - 3 = 0

add the three to the 0 and x = 3

Answer:

x=-3+[tex]\sqrt{x} 14[/tex]

Step-by-step explanation:

I got it right on plato

Answer:

You need 10 of those numbers to be whole numbers, decimals, or fractions (THESE ARE RATIONAL)

You need the other 10 of those numbers to radicals, or numbers similar to pi (THESE ARE IRRATIONAL)

Step-by-step explanation:

Answer:  14.76    or the square root of 218

Step-by-step explanation:

To find the distance find the change in the x values and y values then square them and add them to find their square root.

-4 -3 = -7

6 - (-7) = 13  

7^2 + 13^2 = c^2

49 + 169 = c^2

   218 = c ^2  

  c= 14.76

3x - 2 = 4

Move the -2 to the other side of the equals sign to make it 4 + 2, it is now a positive because when you moved it to the other side of the equals sign the negative always changes to a positive.

Now;

3x = 4 + 2

3x = 6, divide each side by 3.

x = 2.

Answer:

1/7

Step-by-step explanation:

In order to determine the slope, we must find the change in y over the change in x:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} } = \frac{8-6}{10--4}[/tex] = 2/14= 1/7.

Therefore, the slope between these two points is 1/7.

Answer:

1/7

Step-by-step explanation:

To find the slope when given two points, use the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-4,6) be x₁ and y₁ and let (10,8) be x₂ and y₂:

[tex]m=\frac{(8)-(6)}{(10)-(-4)} =2/14=1/7[/tex]

Therefore, the slope of the line passing through the two points is 1/7.

Answer:

-32x

Step-by-step explanation:

Dividing a fraction is the same as multiplying its reciprocal, so we can rewrite the expression as 8x (-4).

We then solve, getting -32x.

Answer:

-32x

Step-by-step explanation:

Hello!

when you divide by a fraction you multiply the denominator to the dividend

8x * -4 = -32x

The answer is -32x

Hope this helps!

Answer:  price of total notebooks = p(a+b+c) or pa+pb+pc= price of total notebooks

Step-by-step explanation:

you have to add all the number of notebooks or a b and c and then multiply it by the price of each notebook. there are multiple ways to do this but those are the ways I could think of.

 if a=2, b=3 and c=6 then you have to add 2+3+6 to equal 11 then multiply 11 by the price of each notebook, say p=$4.50  your equation would be 4.50*11 which is $49.50, and that would be the total of all the notebooks. these numbers metaphorical of course, but hope that puts it into perspective.

Answer:

36

Step-by-step explanation:

[tex](x {}^{2} - 6)(x {}^{2} - 6)[/tex]

then we get,

[tex]x {}^{2} - 12x + 36[/tex]

Answer:

40 minutes

Step-by-step explanation:

We can solve this problem through finding the proportion...

Let the time taken to travel 8 inches at the speed be x

Hence, 12:60 :: 8:x

We must multiply the extremes and the nears..

Hence,

12x=60×8

x=60×8/12

x=40 minutes

Answer:

Area of the field = 384

Step-by-step explanation:

Given:

diagonal  = d = 32 m

perpendiculars dropped on it from the remaining opposite vertices:

h1 = 10 m

h2 = 14 m

Sum of perpendiculars:

h1 + h2 = 10  + 14

           = 24

Area of the field = 1/2 x d x (h1 + h2)

                           = 0.5(32)(24)

Area of the field = 384 m²

Answer:

Yesenia's total commission for the week is $492.84

Step-by-step explanation:

Yesenia sells sports equipment and is paid commission

Yesenia's commission=5.55%

Weekly sales=$8,880

Total commission = 5.55% of $8,880

= 5.55/100 × 8,880

=0.0555 × 8,880

=492.84

Total commission=$492.84

Yesenia's total commission for the week is $492.84

I got 60 as my answer

you ALWAYS do your parentheses first

then you do 8+5 and that equals 13•6-9

13 times 6 is 78. then you subtract 9 which will leave you with 60. hope that helped ☺️

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I took the test.

Answer:

y = -1/2x + 5/2 or y = -0.5x + 2.5

Step-by-step explanation:

perpendicular lines have reciprocated slopes (opposite signs and values)

y = 2x + 1 → y = (-1/2x) + b

plug in (3,1) to find b

1 = -1/2(3) + b

1 = -1.5 + b

2.5 = b

y = -1/2x + 5/2 or y = -0.5x + 2.5

Answer:

y = -1/2 x +5/2

Step-by-step explanation:

y = 2x+1 is in slope intercept form ( y = mx+b) where 2 is the slope

We want a line perpendicular

Perpendicular lines have slopes that multiply to -1

m * 2 = -1

Divide by 2

m = -1/2

The slope of the perpendicular line is -1/2

y = mx+b

y = -1/2x +b

Using the point (3,1)

1 = -1/2 *3 +b

1 = -3/2 +b

Add 3/2 to each side

2/2 +3/2 = b

5/2 = b

y = -1/2 x +5/2

Answer:

The probability that more than half of these babies are female is closest to 0.53.

Step-by-step explanation:

We are given that at a certain hospital, the probability of a child being born female is 0.5. 80 babies are born on a certain day.

Let X = Number of babies that are female

The above situation can be represented through binomial distribution which means X ~ Binom(n = 80, p = 0.51)

Here, n = number of samples taken and p = probability of success

For finding the probability we will use the normal approximation because the sample size is greater than 30 (n > 30), i.e;

Mean of X, [tex]\mu[/tex] = [tex]n \times p[/tex]

                    = 80 [tex]\times[/tex] 0.51 = 40.8

Standard deviation of X, [tex]\sigma[/tex] = [tex]\sqrt{n \times p\times (1-p)}[/tex]

                                         = [tex]\sqrt{80 \times 0.51 \times (1-0.51)}[/tex]  = 4.5

So, X ~ Normal([tex]\mu=40.8, \sigma^{2} = 4.5^{2}[/tex])

Now, the probability that more than half of these babies are female is given by = P(X > 40) = P(X > 40.5)  {using continuity correction}

      P(X > 40.5) = P( [tex]\frac{X-\mu}{{\sigma}} }[/tex] > [tex]\frac{40.5-40.8}{{4.5} } }[/tex] ) = P(Z > -0.07) = P(Z < 0.07)

                                                          = 0.5279 ≈ 0.53

The above probability is calculated by looking at the value of x = 0.07 in the z table which has an area of 0.5279.

Hence, the probability that more than half of these babies are female is closest to 0.53.

Answer:

  M = (-1, 0) on the x-axis

Step-by-step explanation:

You know the midpoint is the average of the coordinates of the end points:

  M = (S +T)/2

  M = ((-4, -3) +(0, 3))/2 = (-4+0, -3+3)/2 = (-2, 0)/2

  M = (-1, 0)

The midpoint is (-1, 0). It lies on the x-axis because the y-coordinate is 0.

Answer:

Hybrid basis

Step-by-step explanation:

There are different methods of accounting used by businesses depending on their peculiar needs. Below are the type of accounting methods:

- Cash basis is when revenues and expenses are recognised when cash is recieved or paid out.

-Accrual basis is when revenue and expenses are recognised when they are earned. For example if services are rendered to a client that will pay in a week's time, since service has already been given it is considered that the future payment has been earned.

- Modified basis combines elements of cash and accrual basis. For example considering short term assets like accounts receivable and accounts payable as cash items. Long term assets are recorded on accrual basis.

- Hybrid basis is used when cash and accrual methods are used for various expenses and tax. Mostly it is used for internal accounting purposes.

In this scenario Hariette would like to review the income and expenses that were actually paid last month. This requires a cash basis that shows actual amount recieved and paid last month. Account receivable and payable are not considered.

In setting aside money for tax she will employ accrual basis accounting. It is an expense that is estimated for future use.

So the hybrid basis is the method that will be most suitable.

Answer:

15

Step-by-step explanation:

3x+4x+8=5x+10

7x+8=5x+10

7x-5x=10-8

2x=2

x=1

AC=5x+10=5(1)+10=15

Answer:

No.

Step-by-step explanation:

There are two different ways to do this - solve for x in the given equation or substitute the value for x and see if you get a true statement.

3x + 7 = 13 subtract 7 from both sides

3x = 6 divide by 3 on both sides

x = 2

3(3) + 7 = 13

9 + 7 = 13

16 ≠ 13

Therefore, x = 3 is not a solution for 3x + 7 = 13.

Answer:

Dr Carter

Step-by-step explanation:

I would want to visit Dr. Carter for an orthodontis appointment for multiple reasons. One, he can prove that he doesn’t do his work sloppily as his office is clean, and two, he can prove that his treatments work. since his teeth are now perfectly straight, that shows that his Braces really work, whereas Dr. Shuman’s treatments either don’t work or take a lot longer for results to appear.

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

Answer:

Step-by-step explanation:

I am not sure if this is correct but I hope it helps