A kite is flying at an angle of elevation of about 55°. Ignoring the sag in the string, find the height of the kite if 85 m of string has been let out.

Answer:

the answer is (a) 28.

Step-by-step explanation:

The given situation can be represented by a linear equation of the form:

Cost = mx + b

where "m" is the slope (the rate of change of cost with respect to time), "x" is the number of hours of the tour, and "b" is the y-intercept (the cost when x = 0).

In this case, the y-intercept is $60, which represents the one-time fee. The cost increases by $28 per hour, so the slope is:

m = $28/hour

Therefore, the answer is (a) 28.

Solution for 80000 is what percent of 800000:

80000:800000*100 =

(80000*100):800000 =

8000000:800000 = 10

Now we have: 80000 is what percent of 800000 = 10

Answer:

29

Step-by-step explanation:

The lines are parallel making the angles the same

Answer:

x = - 2

y = 6

Step-by-step explanation:

The best way to do this is to put - 3x in for y in the second equation.

4x - 2(-3x) = - 20        Watch the signs. You have 2 minus signs.

4x - - 6x = -20            Change - - 6x to 6x

4x + 6x = - 20              Add

10x = - 20                   Divide by 10

x = -20/10

x = - 2

============================

Find y

y = - 3x

y = -3 * -2

y = 6

Answer:

6174π

Step-by-step explanation:

The equation for a whole sphere is 4/3 π(r)³

Given the diameter of 42, we can conclude that the radius would be 21

Next, we would plug in these variables and get 4/3 π(21)³

Simplify all of this down and you would get 12348π

Keep in mind that we are working with a hemisphere. That means that we need to take half of 12348π

Divide that by 2 and you get 6174π

Hope this helps! :)

Answer:

it would actually be 52

Step-by-step explanation:

13x8=104

Then the formula to finding the area includes 1/2 as well so you would then multiply 104 times 1/2 according to the formula getting you 52. Not 104.

There are 0.625 (or approximately 5/8) gallons in 80 fluid ounces. It's worth noting that the conversion factor between fluid ounces and gallons can vary depending on the system of measurement used

There are 128 fluid ounces in a gallon in the US customary system of measurement. Therefore, to find out how many 80-ounce containers are in a gallon, you can use the following formula:

number of 80-ounce containers in a gallon = 128 / 80

Simplifying this expression, we can perform the division:

number of 80-ounce containers in a gallon = 1.6

This means that there are 1.6 (or approximately 1 and 3/5) 80-ounce containers in a gallon.

Alternatively, you can convert the 80 ounces to gallons using the following formula:

number of gallons in 80 fluid ounces = 80 / 128

Again, simplifying this expression, we can perform the division:

number of gallons in 80 fluid ounces = 0.625

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(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer:

x=10

Step-by-step explanation:

Answer:

70, 85, 93, 100, 125, and 127

Explanation:

We want to create a data set with 6 different values whose mean is 100.

Let the sum of the 6 numbers = x

What this means is that the 6 numbers must add up to 600.

Let 5 numbers in the data set be:

• 70, 93, 100, 125, and 127

Add the 5 numbers up:

Subtract the sum from 600 to get the 6th number.

Thus, the 6 diffrent values are:

The two sides of a right triangle opposite the non-right angles are called as adjacent and opposite angle or Legs.

A triangle is a three-sided regular polygon in which the total of any two sides is always larger than the sum of the third side.

A right-angled triangle is one with one of its internal angles equal to 90 degrees, or any angle is a right angle. As a result, this triangle is also known as the right triangle or the 90-degree triangle. In trigonometry, the correct triangle is very significant.

A right-angled triangle is a triangle in which one of the angles is 90 degrees. The total of the other two angles is 90 degrees. The sides that include the right angle are perpendicular and form the triangle's base. The third side is known as the hypotenuse, and it is the longest of the three sides.

The three sides of the right triangle are connected. Pythagoras' theorem explains this relationship. This theorem states that in a right triangle,

Perpendicular² + Base² = Hypotenuse²

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Answer:

Answer:

420 miles

Step-by-step explanation:

Distance traveled per hour = 55 miles

Distance traveled in 6 hours = 55 * 6 = 330 miles

Distance of the trip = 330 + 90  = 420 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

To calculate the Economic Order Quantity (EOQ), we need to consider the holding cost, ordering cost, and demand for printers.

In this scenario, the holding cost per unit per year is $20, the ordering cost is $90 per order, and the annual demand is forecasted to be 1350 units. Additionally, there are 270 working days per year, and the lead-time is 8 days. By using the EOQ formula, we can determine the optimal quantity to order that minimizes total inventory costs. The Economic Order Quantity (EOQ) formula is given by the square root of [(2 * annual demand * ordering cost) / holding cost]. Applying this formula to the given information, we can calculate the EOQ for the printer purchase.

First, we determine the annual ordering cost by dividing the total annual cost of ordering ($90 per order) by the number of working days per order (270 / 8 = 33.75 orders per year). Next, we substitute the values into the EOQ formula: EOQ = sqrt[(2 * 1350 * $90) / $20]

= sqrt[(2700 * $90) / $20]

= sqrt[121500 / $20]

= sqrt[6075]

≈ 77.99

Therefore, the economic order quantity for printers is approximately 78 units. This means that the store should order approximately 78 units of printers at a time to minimize inventory costs, considering the given parameters of holding cost, ordering cost, and annual demand.

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Respuesta:

(-1, - 2,4)

Explicación paso a paso:

Dada la función:

ℎ (x, y) = 5000 - 0,001x2 - 0,004y2

Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido

H '(x, y) = (dh / dx, dh / dy)

dh / dx = 2 (-0.001x) = - 0.002x

dh / dy = 2 (-0.004y) = - 0.008y

H '(500, 300) = (- 0,002 (500); - 0,008 (300))

H '(500, 300) = (- 1; - 2,4)

Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)

We have shown that the argument is valid and ¬g, ¬k entails ¬(k ∨ g) using natural deduction.

Here's one possible proof using natural deduction:

Assume k ∨ g

Assume k
The premise ¬k, derive a contradiction: ⊥

Assume g

Derive a contradiction: ⊥

Conclude from above equations, ¬(k ∨ g) by negation introduction

From the premise ¬g and ¬(k ∨ g), conclude ¬(k ∨ g) by modus tollens (¬g → ¬(k ∨ g))

From the premise ¬k and ¬(k ∨ g), conclude ¬(k ∨ g) by modus tollens (¬k → ¬(k ∨ g))

Now, from above, conclude ¬(k ∨ g) by conjunction introduction (¬g ∧ ¬k → ¬(k ∨ g))

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Step-by-step explanation:

f(x) = x³ - ax² - 13x + b.

f(1) = 1³ - a(1)² - 13(1) + b = 0

=> 1 - a - 13 + b = 0, b - a - 12 = 0.

f(-3) = (-3)³ - a(-3)² - 13(-3) + b = 0

=> - 27 - 9a + 39 + b = 0, 12 - 9a + b = 0.

Therefore, b - a - 12 = 12 - 9a + b. 8a = 24, a = 3.

=> b - (3) - 12 = 0, b = 15.

5 ounces of almonds in the last bag and if Isabel has divided her 28 ounces of almonds equally into 4 bags, with each bag containing 7 ounces of almonds except for the last bag, which contains 11 ounces more, for a total of 32 ounces of almonds.

Isabel has a total of 28 ounces of almonds to divide equally into 4 bags. To find out how many ounces of almonds she should put in each bag, she can divide the total amount of almonds by the number of bags:

equation is : y = 8/2 + 1 y = 5 ounces of almonds in the last bag.

28 ounces / 4 bags = 7 ounces per bag

Therefore, Isabel should put 7 ounces of almonds in each of the first three bags. In the last bag, she decides to add an additional 11 ounces of almonds. This means that the total amount of almonds in the last bag will be:

7 ounces + 7 ounces + 7 ounces + 11 ounces = 32 ounces

y = 5 ounces of almonds in the last bag.

So in total, Isabel has divided her 28 ounces of almonds equally into 4 bags, with each bag containing 7 ounces of almonds except for the last bag, which contains 11 ounces more, for a total of 32 ounces of almonds.

It's important to note that Isabel's decision to add an additional 11 ounces of almonds to the last bag means that the bags are no longer divided equally, but rather are divided into 7 ounces, 7 ounces, 7 ounces, and 32 ounces of almonds. This could have an impact if the bags are being distributed or sold as equal portions, as the last bag would contain significantly more almonds than the other three bags.

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Isabel has ounces of almonds to divide equally into bags. In the last bag, she adds an additional ounces of almonds. The equation shown can be used to find , the total number of ounces of almonds in the last bag. How many ounces of almonds are in the last bag?

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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a) The probability that the bank is empty is approximately 0.0026.

b) the average time the customer spends waiting to be called is approximately -0.25 c) hours the average number of customers in the bank is -1.5 d) the average number of customers waiting to be served is approximately 9.

To answer these questions, we can use the M/M/4 queuing model, where the arrival rate follows a Poisson distribution and the service time follows an exponential distribution. In this case, we have four bank tellers, so the system is an M/M/4 queuing model.

Given information:

Arrival rate (λ) = 12 customers per hour

Service rate (μ) = 1 customer every 15 minutes (or 4 customers per hour)

(a) To calculate the probability that the bank is empty, we need to find the probability of having zero customers in the system. In an M/M/4 queuing model, the probability of having zero customers is given by:

P = (1 - ρ) / (1 + 4ρ + 10ρ² + 20ρ³)

where ρ is the traffic intensity, calculated as ρ = λ / (4 * μ).

ρ = (12 customers/hour) / (4 customers/hour/teller) = 3

Substituting ρ = 3 into the formula, we have:

P = (1 - 3) / (1 + 4 * 3 + 10 * 3² + 20 * 3³) ≈ 0.0026

Therefore, the probability that the bank is empty is approximately 0.0026.

(b) The average time the customer spends waiting to be called is given by Little's Law, which states that the average number of customers in the system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In this case, we want to find W.

L = λ * W

W = L / λ

Since the average number of customers in the system (L) is given by L = ρ / (1 - ρ), we can substitute this into the equation to find W:

W = L / λ = (ρ / (1 - ρ)) / λ

W = (3 / (1 - 3)) / 12 ≈ -0.25

Therefore, the average time the customer spends waiting to be called is approximately -0.25 hours, which is not a meaningful result. It seems there might be an error in the given data.

(c) The average number of customers in the bank (L) can be calculated as:

L = ρ / (1 - ρ) = 3 / (1 - 3) = -1.5

Therefore, the average number of customers in the bank is -1.5, which is not a meaningful result. It further suggests an error in the given data.

(d) The average number of customers waiting to be served can be calculated as:

\(L_q\) = (ρ² / (1 - ρ)) * (4 - ρ)

Substituting ρ = 3, we have:

\(L_q\\\) = (3² / (1 - 3)) * (4 - 3) ≈ 9

Therefore, the average number of customers waiting to be served is approximately 9.

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The rate of boat be approaching the dock when 120 ft of rope is out is 12 ft/ sec.

For the given question.

The rate of pulling the pulley is 12 ft/min.

The distance of the rope with the boat is 7 feet.

The rope given by the hypotenuse.

y = 7 is constant.

Let H be the total height that is hypotenuse.

Le 'x' be the depth of dock approaching.

Using Pythagorean theorem.

H(t) = √(49 + x²)

Differentiate the height with respect to time.

dH/dt = (x) / √(49 + x²)  dx/dt

Put the values. x = 120 ft.

12 = 120/ √(120² + 49)dx/dt

12 = 120/ √(14449)   (dx/dt)

12×√(14449)/120 = dx/dt

dx/dt = 12 ft/ sec.

Thus, the rate of boat be approaching the dock when 120 ft of rope is out is 12 ft/ sec.

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Answer: NA and Rb and there are 20 protons in calcium!

Step-by-step explanation:

Answer:

No. of protons = 20

No. of electrons = 20

No. of neutrons = 20

Step-by-step explanation:

Part 1 :

Na, K and Rb are in the same group.

So, K and Rb are the two elements that have the same properties as sodium ( Na ).

Part 2 :

Atomic Number of Calcium = 20

Note :

Atomic Number = No. of protons

Therefore,

No. of protons = 20

Note :

No. of neutrons = No. of protons.

Therefore,

No. of neutrons = 20

Calcium is the 20th element, with 20 protons. Since a stable atom has a net charge of 0, it must have 20 electrons.

To reduce a fraction, you divide the numerator and denominator by the same number.

This number is the greatest common divisor (GCD) of the numerator and denominator. By dividing both the numerator and denominator by their GCD, you simplify the fraction to its simplest form. The GCD is the largest number that evenly divides both the numerator and denominator without leaving a remainder.

Dividing by the GCD ensures that the fraction is expressed in its lowest terms, where the numerator and denominator have no common factors other than 1. This process eliminates any common factors and reduces the fraction to its simplest representation.

Therefore, To reduce a fraction, you divide the numerator and denominator by the same number. Option c is correct.

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Answer:

Linear

Step-by-step explanation:

Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.

Answer:

\(15x+8=6x+2\\9x+8=2\\9x=-6\\x=-6/9 or -2/3\\Hope this helps plz hit the crown :D\)

Answer: x = -2/3

Step-by-step explanation:

1. Isolate the x on one side of the equation by subtracting 6x from each side

9x + 8 =2

2. Subtract 8 from each side to get the x on one side of the equation and the whole numbers on the other side.

9x = -6

3. Divide each side by 9 to find the value of x

x = -2/3