What is the area of the circle if BC = 6cm?

The value of c obtained from the linear inequality (3/5)·c + 7 ≤ 2/5 is the option;

c ≤ -11

An inequality is a (non equal) comparison between two expressions that have different values.

The specified inequality can be expressed as follows;

[tex]\dfrac{3}{5} \times c + 7 \leq \dfrac{2}{5}[/tex]

Simplifying the above inequality by subtracting  7 from both sides, we get;

[tex]\dfrac{3}{5} \times c + 7 - 7 \leq \dfrac{2}{5} - 7[/tex]

Evaluating and simplifying the right hand side into a fraction, we get;

[tex]\dfrac{3}{5} \times c + 0 \leq \dfrac{2}{5} - 7 = \dfrac{2 - 35}{5} = \dfrac{-33}{5}[/tex]

[tex]\dfrac{3}{5} \times c \leq \dfrac{-33}{5}[/tex]

Multiplying both sides by 5, we get;

[tex]5\times \dfrac{3}{5} \times c \leq 5 \times \dfrac{-33}{5}[/tex]

[tex]\dfrac{5}{5} = 1[/tex], therefore;

3·c ≤ -33

Dividing both sides of the above inequality by 3, we get;

3·c ÷ 3 ≤ -33 ÷ 3

c ≤ -11

The correct option is; c ≤ -11

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Answer:

The objective of the PACER is to run as long as possible while keeping a specified pace. Students run back and forth across a 20-meter space at a pace that gets faster each minute. A point is scored for each 20-meter distance covered. The test is easier in the beginning but progressively gets more difficult.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The average transaction time of this location reduced to 371 seconds.

Answer:

the rate at which the temperature drops

the day of the week

Step-by-step explanation:

Since we can choose the number of hour, it is dependent on us.

If we set time = 2, then it would 5 x 2 = 10 degree

Similarly, if we change time, the temperature changes. Thus, it is dependent.

Temperature is dropping at a rate of five degrees per hour.

If t = 1, T = 5*1 = 5°, rate = 5

if t = 2, T = 5*2 = 10°, rate = 5

if t = 3, T = 5*3 = 15°, rate = 5

Notice that rate doesnt change, even the temperature and time changes.

Thus, rate is independent.

Answer:

97.95% of these nuts will meet the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.

This means that [tex]\mu = 8.62, \sigma = \sqrt{4.49}[/tex]

Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?

The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So

X = 13

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{13 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a p-value of 0.9808.

X = 2.25

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.25 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = -3.01[/tex]

[tex]Z = -3.01[/tex] has a p-value of 0.0013.

0.9808 - 0.0013 = 0.9795

0.9795*100% = 97.95%

97.95% of these nuts will meet the specification limits.

Answer:

5,024 ft³

Step-by-step explanation:

I took the k12 quiz

let the third side be b then use the pythagoras theorem

Answer:

xxxtentacion=6&20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The sum of any two intieior angles in a triangle equal to the opposite angle.

So 30 + 5X + 15 = 9X - 3

Solving for X

48 = 4X

X = 12

Answer:

(C) 369 cm

Step-by-step explanation:

because i got it right :D

Answer:

I think it is 23 5/8

Step-by-step explanation:

b*h

Answer:

Step-by-step explanation:

Dans le calcul d'une somme, ou d'un produit, de deux nombres, on peut échanger la place de deux nombres. Dans le calcul d’une somme, ou d'un produit, de trois nombres (ou plus), on peut associer de différentes façons les nombres deux par deux. Pour calculer le produit d’une somme par un nombre, on peut calculer le produit de chacun des termes par ce nombre, puis calculer la somme des résultats obtenus.

Answer:

14

Step-by-step explanation:

so first our equation is: -4a+2b so a is -2 right? okay so your going to do

-4 x -2 which you get 8 (minus times minus is postive). and now for 2b: 2x3 is 6 so 6+8 is 14

Answer:

Step-by-step explanation:

lol no

Step-by-step explanation:

im not sure but,

Answer:

function is the correct answer in my opinion hope it's helps you

Answer:

B. $15.66

Step-by-step explanation:

Hamburgers: 5 x 1.40 = 7

Sodas: 6 x 1.25 = 7.5

Total food cost = 14.50

tax is 8%, 0.08 as a decimal

14.50 x 0.08 = 1.16 tax

add food total and tax:

14.50 + 1.16 = $15.66

Therefore the answer is 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

Depreciation is a phrase that covers two different elements of the same idea: first, the real decline in an asset's fair value, such as the annual decline in the worth of industrial equipment.

Your balance sheet may be broken down into two categories, assets and liabilities, in its most basic form. A company's assets are any possessions that have the potential to provide future financial gain. Your debts to other people are called liabilities. In other words, assets increase your wealth while obligations decrease it.

The value of the motorbike will decrease by 5/100 = 0.05 (or 5%) each month. So, to find out how many months it will take for the value of the motorbike to decrease from £2550 to less than £1200, you need to solve the following equation:

£2550 - (0.05 * x) < £1200

where x is the number of months.

You can re-arrange the equation to solve for x:

x > (2550 - 1200) / 0.05

x > (1350) / 0.05

x > 27

So it will take the motorbike 27 or more months to depreciate to less than £1200 at a rate of 5% per month.

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Answer:

Step-by-step explanation:

[tex] \sin(40) = \frac{95}{x} \\ x = \frac{95}{ \sin(40) } \\ x = 127.5 \: feet[/tex]

I hope that is useful for you :)

Answer:

Trapezoid

Step-by-step explanation:

The math

Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

Answer:

<QRS = 40 degrees

Step-by-step explanation:

Supplementary angles are 180 degrees therefore if angle ABC is 140 degrees that would mean that angle QRS has to be 40 degrees.

Hope this helped!

Have a good day!

Answer:

1.  1/6x + 5/6

2. 1/3x + 2/3

Step-by-step explanation:

Answer:

- 1/6x + 5/6, 1/3x + 1

Step-by-step explanation:

1. 1/2 (x + 1) - 1/3 (x - 1) = 1/2x + 1/2 - 1/3x + 1/3 = - 1/6x + 5/6

2. x - 2/3 (x - 1) = x - 2/3x + 1 = 1/3x + 1

Answer:

change the order, so the terms line up

20g+15m=300

g+m=17

multiply the second equation by 20, so the 20g and -20g can cancel out

20g+15m=300

-20g-20m=-340

solve the equation, then divide -5 to both sides to isolate the m

-5m=-40

m=8

substitute the value of m into one equation to find the other value

g+8=17

g=9

write them in ordered paired form

(9, 8)

Step-by-step explanation:

hope this helps :)

Answer:

That's easy! four thousand two hundred and seven or 4,000+200+7

Step-by-step explanation:

Answer:

5.5; 11.00; 16.50

[tex]E = 5.5h[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): Complete the table

First, calculate the slope (m)

[tex]m = \frac{E_2 - E_1}{h_2 - h_1}[/tex]

So:

[tex]m = \frac{27.5- 22.00}{5-4}[/tex]

[tex]m = \frac{5.50}{1}[/tex]

[tex]m = 5.50[/tex]

So, the equation of the table is:

[tex]E = m(h - h_1) + E_1[/tex]

[tex]E = 5.5(h - 4) + 22[/tex]

[tex]E = 5.5h - 22 + 22[/tex]

[tex]E = 5.5h[/tex]

When h =1,2,3

[tex]E = 5.5 * 1 = 5.5[/tex]

[tex]E = 5.5 * 2 = 11.00[/tex]

[tex]E = 5.5 * 3 = 16,50[/tex]

Answer: 1.15384615385

Step-by-step explanation:

divide

Answer:

76 people

Step-by-step explanation:

3.809% will by more than one.

this times 2000 is 76.1904

you cant have fractions of people