Round off 31623 to the nearest ten thousand

Answer:

In this case, we can do substitution.

Step-by-step explanation:

For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x

For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3

And for the last one,  (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10

Hope your happy with the answer :)

Answer:

D

Step-by-step explanation:

Always, and always. The Diameter is defined as the distance from the beggining of the circle to any point on the circle, that passes through its center.

Edit: REMODIFIED!! Incorrect answer in the past, this has been changed. Again, the answer is D not C, since C is the radius, and D is the diameter.

Answer:

When the two lines intersected by the transversal are parallel, corresponding angles are congruent, alternate interior angles are congruent, alternate exterior angles are congruent, and consecutive interior angles become supplementary, which means they have a sum of 180 degrees.

Step-by-step explanation:

Answer:

1 to 2

1:2

1/2

Step-by-step explanation:

Answer:

Ze anser is 1:3 (づ｡◕‿‿◕｡)づ

Step-by-step explanation:  

Answer: taxes

Step-by-step explanation:

To maximize the production of 180-meter climbing ropes, the outdoor outfitter should employ 12 units of labor and 6 units of capital. This combination will result in the production of 137.67 ropes.

The production function for the outdoor outfitter is given as \((x,y) = 8x^{0.75}y^{0.25}\), where x represents the number of units of labor and y represents the number of units of capital utilized. The total available budget for labor and capital is $3,840,000. The cost per unit of labor is $150, and the cost per unit of capital is $300.

To find the combination of labor and capital that maximizes production, we need to optimize the production function subject to the budget constraint. Let's denote the number of units of labor as L and the number of units of capital as C. We can express the budget constraint as

150L + 300C = 3,840,000.

To solve for the optimal values of L and C, we can use the Lagrange multiplier method. By taking the partial derivatives of the production function with respect to L and C, and equating them to the partial derivatives of the budget constraint, we can set up the following equations:

∂(\(8L^{0.75}C^{0.25}\))/∂L = λ∂(150L + 300C - 3,840,000)/∂L

∂(\(8L^{0.75}C^{0.25}\))/∂C = λ∂(150L + 300C - 3,840,000)/∂C

Simplifying these equations, we get:

\(6L^{(-0.25)}C^{0.25}\) = λ150

\(2L^{0.75}C^{(-0.75)}\) = λ300

Dividing these two equations, we find:

L/C = 0.5

Substituting this into the budget constraint, we get:

150L + 300(2L) = 3,840,000

750L = 3,840,000

L = 5,120

Substituting the value of L back into the budget constraint, we find:

150(5,120) + 300C = 3,840,000

C = 6

Therefore, the optimal combination is 12 units of labor (5,120/150) and 6 units of capital. Substituting these values into the production function, we find:

\((12, 6) = 8(12^{0.75})(6^{0.25}) = 137.67\)

Hence, the maximum production of 180-meter ropes is approximately 137.67 units.

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Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

Answer:

33 miles

Step-by-step explanation:

The illustration forms a right angled triangle. The opposite side of the triangle is where we are looking for . The adjacent side is the radius 4000 miles.

5280 ft = 1 mile

735 ft = ? miles

cross multiply

735/5280

miles = 0.13920454545  miles

The hypotenuse side is the height of the building + 4000 miles = 0.140 + 4000 = 4000.14  miles

using Pythagoras theorem

c² = a² + b²

c = 4000.14

a = 4000

4000.14² = 4000² + b²

b² = 4000.14² - 4000²

b² = 16001120.0196  - 16000000

b² = 1120.0196

b = √1120.0196

b = 33.4666938911

b = 33 miles

Answer:

answer is A

Step-by-step explanation:

you on edg?

Answer:

C

Step-by-step explanation:

Answer:

I think it's 6 or 0.6

Answer:

30

Step-by-step explanation:

this is the explanation

6÷20% = 30

The correct option for this questions is Option C

1/3, 2/6, 3/9, 4/12, 5/15, 6/18, 7/21, 8/24, 9/27, 10/30, 11/33, 12/36, 13/39, 14/42, 15/45, 16/48, 17/51, 18/54, 19/57, 20/60, and so on ...

Two frations are equivalent when they have the same value when written in lowest terms. The fraction 8/24 is equal to 1/3 when reduced to lowest terms. To find equivalent fractions, just multiply the numerator and denominator of that reduced fraction (1/3) by any interger number, ie, multiply by 2, 3, 10, 30.

Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value. If any fraction is not reduced to lowest terms, you can get other equivalent fractions just dividing both numerator and denominator by the same number.

Thus, option c is your answer

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A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.

The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).

Apply Chinese Remainder Theorem we get,

x≡3(mod17),

So, (x-3) is divided by 17

so, x = 20

x≡10(mod16),

(x-10) is divided by 16

x = 26

x≡4(mod11)

(x-4) is divided by 11

So, x = 15

x≡0(mod7)

(x-0) is divided by 7.

So, x=7

So smallest possible coin is 7.

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The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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EF = 45

Step-by-step explanation:

Area if Trapezium = \(\frac{a + b}{2} h\)

Median = \(\frac{1}{2} (a + b)\)

Median = 5x

5x = 1/2 ((x + 3) + 78)

5x = (x + 81) / 2

10x = x + 81

9x = 81

x = 9

EF = 5x

EF = 5(9)

EF = 45

The experimental probability that the goalie will block the next shot on goal is 15/21 or approximately 0.71.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability can also be expressed as a percentage, with 0% indicating impossibility and 100% indicating certainty.

In this case, the goalie blocked 15 out of 21 shots on goal. Therefore, the experimental probability of the goalie blocking the next shot on goal is:

P(blocking next shot) = Number of successful outcomes / Total number of outcomes

P(blocking next shot) = 15 / 21

P(blocking next shot) = 0.71 or approximately 71%

Therefore, based on the given data, the experimental probability of the goalie blocking the next shot on the goal is 0.71 or approximately 71%.

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The probability that the rack ends up in alphabetical order is 1/362880.

We have to find the probability of ending up in alphabetical order. First we have to find the total permutation. This can be done by calculating permutation.

Next, we find the all alphabetical combinations. To check this we find the combination. To get the probability, we divide the number of alphabetical combination by total combinations.

Number of alphabetical combinations = 11C9

Number of total combinations = 11P9

P(rack ends up in alphabetical order)

= (11C9)/(11P9)

= 55/19958400

= 11/3991680

= 1/362880

Therefore, the probability that the rack ends up in alphabetical order is 1/362880.

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Answer:

Angle MJK = 64°

Step-by-step explanation:

In ∆MJL & ∆LJK,

JL= JL ...(common side)

Angle JML = Angle JKL ....( each 90°)

MJ = JK ....( Both measures 7)

Hence, by SAS criteria, ∆ MJL = ∆ LJk

.°. by C.P.C.T , ∠MJL = ∠LJK = 32°

Also,

∠MJK = ∠MJL+∠LJK

∠MJK = 32°+32°

Answer:

Maria answers 85% of the questions correctly

Step-by-step explanation:

Maria had a test with 20 questions

if 17 are correct,

20 questions : 100%

17 questions : ?%

she  was 85% right

hope this helps :)

Answer:

E. 85%

Step-by-step explanation:

Total Answers: 17 + 3 = 20

Maria answered 17 questions correctly

(17 ÷ 20)×100 = 85%

Answer:

The answer is 900

good luck

Answer:You are given the mountain that has a vertical height of 200 yards, and the ski lift will rise at an angle of 40 degrees. You are asked to find how many yards will a tourist travel from the base of the mountain to its peak. You can solve this using trigonometric function. More importantly, imagine that the mountain has a 90 - degree vertical height so that when you connect the peak of the mountain down to its base and then connected to the ski, you can form a right triangle.

Use the sine function.

sine β = opposite side / hypotenuse side

the opposite side will be the height of the mountain and the hypotenuse side will be the distance of the ski from the bottom going to the peak of the mountain

sine 40° = 100 yards / hypotenuse side

hypotenuse side = 100 yards / sine 40°

hypotenuse side = 156 yards

Step-by-step explanation:

Sorry for so much I just like to explain what I think

Answer:

2/4

Step-by-step explanation:

Answer:

B and F

Step-by-step explanation:

Answer:

The answer is 4.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

1600

Answer:

1600

Step-by-step explanation:

Let's solve the problem step by step.According to the given data;Farmer Jones has x sheepFarmer Smith has 100 more sheep than Farmer Jones. Thus, Farmer Smith has x + 100 sheep.Farmer White has twice as many sheep as Farmer Jones. Thus, Farmer White has 2x sheep.The total number of sheep is 2500. So; x + x + 100 + 2x

= 25004x + 100

= 25004x

= 2500 - 1004x

= 2400x

= 2400/4x

= 600

Therefore, Farmer Jones has 600 sheep. Farmer Smith has 600 + 100 = 700 sheep.

Farmer White has 2(600) = 1200 sheep.

Therefore, there are 600 + 700 + 1200 = 2500 sheep.

The content describes the number of sheep owned by three farmers: Farmer Jones, Farmer Smith, and Farmer White. It provides the following information:

1. Farmer Jones has "x" number of sheep. The exact number of sheep owned by Farmer Jones is not specified.

2. Farmer Smith has 100 more sheep than Farmer Jones. This means Farmer Smith's sheep count is "x + 100."

3. Farmer White has twice as many sheep as Farmer Jones. Therefore, Farmer White's sheep count is "2x."

4. The total number of sheep owned by all three farmers combined is 2500.

So, to summarize:

- Farmer Jones: x sheep

- Farmer Smith: x + 100 sheep

- Farmer White: 2x sheep

- Total sheep count: x + (x + 100) + 2x = 2500

From this information, we can solve for the value of "x" and calculate the number of sheep each farmer owns.

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Considering the given information the number of sheep with the farmers will be:

Farmer Jones has 600 sheep.

Farmer Smith has 700 sheep.

Farmer White has 1200 sheep.

Let's suppose that the number of sheep Farmer Jones has is x

.Therefore, Farmer Smith has 100 more sheep than Farmer Jones has.

The number of sheep Farmer Smith has can be given by the equation:

              x + 100

Farmer White has twice as many sheep as Farmer J has.

Hence, the number of sheep Farmer White has is:

                               2 x

Now, the sum of the sheep Farmer Jones, Farmer Smith and Farmer White have is 2500.

Sheep Farmer Jones has = x

Sheep Farmer Smith has = x + 100

Sheep Farmer White has = 2x

Therefore,

x + x + 100 + 2x = 2500

4x + 100 = 2500

4x = 2500 - 100

4x = 2400

x = 2400/4

x = 600

Therefore, Farmer Jones has 600 sheep. Farmer Smith has 600 + 100 = 700 sheep. Farmer White has 2 * 600 = 1200 sheep.

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Answer: \(r=\dfrac{4}{\theta}\text{ cm}\) .

Step-by-step explanation:

We know that , \(l= r\theta\) , where l = length of arc , r= radius , \(\theta=\) central angle ( in radians).

Here , l= 4 cm

Substitute this value in the formula , we get

\(4=r\theta \\\\\Rightarrow\ r=\dfrac{4}{\theta}\)

Hence, the formula of r in terms of \(\theta\) is \(r=\dfrac{4}{\theta}\text{ cm}\) , where \(\theta=\) central angle ( in radians).

Answer: 4/θ

Step-by-step explanation: Khan Academy

Two possible values of x are 10 and 40.

To find two possible values of x, we need to first determine the highest and lowest numbers in the set.

Highest number: 46
Lowest number: 4

To get a range of 55, we need the highest number minus the lowest number to equal 55.

46 - 4 = 42

But we know that there are 8 numbers in the set, so the range must be spread out over those 8 numbers. To get an idea of how much each number should increase, we can divide 42 by 7 (the number of gaps between the numbers) to get an average increase of 6.

Now we can use this average increase to find two possible values of x.

1) If x is 6 more than the lowest number (4 + 6 = 10), then the set becomes:

4, 9, 10, 32, 35, 38, 46, 46

And the range is:

46 - 4 = 42

2) If x is 6 less than the highest number (46 - 6 = 40), then the set becomes:

4, 9, 35, 38, 40, 46, 46, 32

And the range is:

46 - 4 = 42

Therefore, two possible values of x are 10 and 40.

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