The desert temperature, H, oscillates daily between 44°F at 6am and 84°F at 6pm. (a) Write a possible formula for H, measured in hours from 6am. Use the form H(t) = Acos(Bt) + C

Long division is a method of dividing large numbers by hand. It can be done using several different methods, but the standard algorithm is the most common.

The steps for the standard algorithm are as follows:

1. Begin by writing the dividend (the number to be divided) above the division bar and the divisor (the number that the dividend is being divided by) below the division bar.

2. Divide the leftmost digit of the dividend by the divisor. Write the result of this division to the left of the division bar.

3. Multiply the divisor by the quotient from the previous step, and write the result of this multiplication below the dividend.

4. Subtract the product from the dividend and write the result below the dividend.

5. Bring down the next digit of the dividend to the remainder and repeat steps 2-4 until the remainder is 0.

6. The result of the division is the quotient written to the left of the division bar.

Long division is a method of dividing large numbers by hand.

It involves dividing the leftmost digit of the dividend by the divisor, multiplying the divisor by the quotient, subtracting the product from the dividend, and repeating these steps until the remainder is 0. The result is the quotient written to the left of the division bar.

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Answer:

true

Step-by-step explanation:

Answer:

i think b would be the best choice.

Step-by-step explanation:

Answer:

Hey! The answer would be 12/100

Step-by-step explanation:

Because you dont need to simplify the fraction, the only right answer there is 12/100.

Check the picture below.

The total weight is 18.5 kilograms

The work done pulling the bucket to the top of the well is 104,299.4 pound-force-feet (lb*ft).

To find the work done pulling the bucket to the top of the well, we need to consider the weight of the bucket, the weight of the water, and the work done against gravity.

First, let's calculate the weight of the bucket and water combined. The weight of the bucket is 4 pounds, and the weight of the water is 35 pounds. Therefore, the total weight is 4 + 35 = 39 pounds.

Next, let's calculate the distance the bucket is pulled up. The well is 83 feet deep, so the bucket is pulled up a distance of 83 feet.

Now, let's calculate the work done against gravity. Work is calculated by multiplying the force applied by the distance over which the force is applied. In this case, the force is equal to the weight of the bucket and water, which is 39 pounds. The distance is 83 feet.

Work = Force * Distance
Work = 39 pounds * 83 feet

To calculate the work, we need to convert the weight from pounds to a unit called pound-force (lbf). 1 pound force is equal to the force exerted by a mass of 1 pound under acceleration due to gravity.

To convert from pounds to pound-force, we need to multiply by the acceleration due to gravity. The acceleration due to gravity is approximately 32.2 feet per second squared.

39 pounds * 32.2 feet per second squared = 1255.8 pound-force

Finally, we can calculate the work done pulling the bucket to the top of the well.

Work = 1255.8 pound-force * 83 feet
Work = 104,299.4 pound-force-feet (or lb*ft)

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Answer:

152 ft²

Step-by-step explanation:

First, we can work out the area of the triangles using the formula 1/2 × base × height. 1/2 × 6 × 4 = 12 ft². This is the area of one triangle so we can multiply this by 2 to get the area of both triangles - 24ft².

Next, we can work out the area of the rectangular sides by multiplying the length and width together. 8 × 5 = 40ft². Again, this is the area of one rectangle so we can multiply this by 2 to get the area of both rectangles - 80ft².

Then, we can work out the area of the base by multiplying the length and width together. 8 × 6 = 48ft².

Finally, we can add all the areas together to find the total surface area of the tent. 24 + 80 + 48 = 152 ft².

Hope this helps!

The area inside the circle but outside the square is approximately 0.0474 square units.

To find the area inside the circle but outside the square, we first need to calculate the area of both the circle and the square.

The area of a square is given by the formula: side length squared. So, for a square with a side length of 11, the area would be 11^2 = 121 square units.

The area of a circle is given by the formula: pi times the radius squared. In this case, the radius is √3/3. Plugging this value into the formula, we get pi * (√3/3)^2.

Simplifying this, (√3/3)^2 = 3/9 = 1/3. Therefore, the area of the circle is pi * (1/3).

To find the area inside the circle but outside the square, we subtract the area of the square from the area of the circle. So, the required area is pi * (1/3) - 121.

Calculating this, we get the final answer as approximately 0.0474 square units.

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Answer:

a- can

b- cannot

c-cannot

I think the explanation is because nobody is going to use if your family members like to play soccer or not or what the different prices are.

Answer: The first question is a statistical information the second and third one are not

Step-by-step explanation: Statistical information is asking a question then can be answered with many different answers good luck. Hope it helped

Answer:

960

Step-by-step explanation:

There are (24)2 ⋅ 20 books in a cupboard. Therefore, the total number of books in the cupboard is 960.

24 ⋅ 2 = 48

48 ⋅ 20 = 960

960 is the answer. Hope this helped!

Answer:

El ascensor recorrió unos 39 metros

Step-by-step explanation:

Segun la pregunta cada cada piso tiene 3 metros de altura, por lo tanto para calcular los metros que recorrió el ascensor tenemos que hacer el siguiente calculo:

metros desde el primer piso al quinto piso=3 metros*4=12 metros

metros desde el quinto piso al segundo piso=3 metros*3=9 metros

metros desde el segundo piso al octavo piso=3 metros*6=18 metros

Por lo tanto los metros que recorrió el ascensor=12 metros+9 metros+18 metros

metros que recorrió el ascensor=39 metros

El ascensor recorrió unos 39 metros

4/7 i.e. 4 : 7 is the ratio of the boys to the total number of students.

Given, A class has 16 boys and 12 girls.

So, the total number of students in the class be 16 + 12 = 28 students

We have to find the ratio of boys to the total number of students be,

number of boys/total students

= 16/28

= 8/14

= 4/7

Hence, 4/7 is the ratio of the boys to the total number of students.

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Answer:

For example, a spacecraft leaving the surface of Earth needs to be going 7 miles per second, or nearly 25,000 miles per hour to leave without falling back to the surface or falling into orbit.

The correct answer is (c) depending on the benchmark interest rates. The liquidity premium can be positive or negative, depending on market conditions and the risk associated with specific securities.

It seems like there are some typos in your question, but I believe you're asking about the liquidity premium when the yield curve is inverted. In this context, I'll include the terms "ratio," "liquidity, and "negative" in my answer.

The liquidity premium is the additional return that investors demand by holding securities with lower liquidity or higher risk. When the yield curve is inverted, it generally indicates that short-term interest rates are higher than long-term interest rates. This can be a result of higher demand for long-term bonds, which drives their prices up and yields down.

In such a situation, the liquidity premium is:

a) not always negative, because an inverted yield curve doesn't necessarily mean that the liquidity of the market is negatively impacted. The ratio of liquid to illiquid assets can still be favorable even when the yield curve inverts.

b) not always positive, as the premium depends on the overall market conditions and risk factors associated with specific securities.

c) It depends on the benchmark interest rates, which are a key determinant of the yield curve shape. When benchmark interest rates change, the yield curve can either steepen, flatten, or invert, affecting the liquidity premium accordingly.

So the correct answer is (c) depending on the benchmark interest rates. The liquidity premium can be positive or negative, depending on market conditions and the risk associated with specific securities.

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The statement that describes the quotient of 3 over 10 division sign2 over 5 is A. The maximum amount of oil the bowl can hold is Fraction 3 over 4 cup.

From the information given, we are told that a bowl holds fraction 3 over 10 cups of oil when it is Fraction 2 over 5 full.

Therefore, the statement that best describes the quotient of 3 over 10 division sign2 over 5 will be that the maximum amount of oil the bowl can hold is fraction 3 over 4 cup.

In conclusion, the correct option is A.

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The inverse of 35 modulo 83 is 59, and the inverse of 49 modulo 83 is 32.

To find the inverse of a number modulo another number, we need to find a number that, when multiplied by the original number, gives a remainder of 1 when divided by the modulus.

(a) To verify that 50 is the inverse of 5 modulo 83, we can calculate 5 * 50 ≡ 250 ≡ 1 (mod 83). Similarly, for 12 as the inverse of 7 modulo 83, we have 7 * 12 ≡ 84 ≡ 1 (mod 83). Therefore, both 50 and 12 are inverses of their respective numbers modulo 83.

(b) To find the inverse of 49 modulo 83, we need to find a number x such that 49 * x ≡ 1 (mod 83). We can use trial and error or utilize the extended Euclidean algorithm to calculate the inverse. In this case, we find that the inverse of 49 modulo 83 is 32 since 49 * 32 ≡ 1568 ≡ 1 (mod 83).

Hence, the inverse of 35 modulo 83 is 59, and the inverse of 49 modulo 83 is 32.

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Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

Answer: -x+9

Step-by-step explanation:

The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.

According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.

To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.

Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.

Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.

Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.

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Answer:

I believe the answer is A

Volume is a measure of the amount of space occupied by a three-dimensional object, typically expressed in cubic units.

To find the total volume of the two prisms added together, we need to add the volumes of each prism.

The volume of Prism A is:

8 cm x 3 cm x 6 cm = 144 cm³

The volume of Prism B is:

10 cm x 3 cm x 5 cm = 150 cm³

Therefore, the total volume of the two prisms added together is:

144 cm³ + 150 cm³ = 294 cm³

So the answer is 294 cm³.

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Answer:

=$32

Step-by-step explanation:

Principal Amount=$400

Rate=4%

Time=2 Years

Interest=?

           =RPT/100

           =4x400x2/100

          =$32

                        ....................................................................

In the sentence 52 = 15∙3 + 7, 7 is equal to 36.7

In mathematics, equality is a relationship that states that two quantities have the same value or that two mathematical expressions represent the same mathematical object.

Someone or something that is equal to another has the same quantity, value, or rights as that other thing. One cup and eight ounces are equivalent, for instance. Equal pay for equal work performed by men and women is an illustration of equality.

If both operands have the same value, the equal-to operator (==) returns true; otherwise, it returns false. If the operands do not have the same value, the not-equal-to operator (!=) returns true; otherwise, it returns false.

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Using the Factor Theorem, the length of one side of the garden is:

(3x - 4) feet.

The Factor Theorem states that a polynomial function with roots \(x_1, x_2, \codts, x_n\) is given by:

\(f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)\)

In which a is the leading coefficient.

The area of a rectangle is given by the multiplication of it's dimensions. In this problem, it is given by:

A = 9x² - 24x + 16.

The root of 9x² - 24x + 16 = 0 is x = 4/3 with multiplicity 2, hence:

\(x_1 = x_2 = \frac{4}{3}\)

Hence the area can be written as:

\(A = 9\left(x - \frac{4}{3}\right) \times \left(x - \frac{4}{3}\right)\)

Then, to find one side:

9(x - 4/3) = 9x - 12 = 3(3x - 4).

Hence (3x - 4) feet is one side.

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Answer: 12x-6= 2x

Step-by-step explanation:

Answer:

88 is the answer to the question

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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Answer:

C) the triangles are congruent

Step-by-step explanation:

Answer:

c. the triangles are congruent

Step-by-step explanation:

Both the triangles are right triangles which means the square thing at the bottom corner of the triangles are 90 degrees. So with this info, a triangle is 180 degrees, and one of the triangles already gave u one of the corners degrees so

90 + 59 + x =180

149 + x = 180

x = 31, so now the left triangle is solved. Now see the 118 degrees in the middle? A straight line is 180 degrees so with this in mind,

31 + 118 + x = 180

149 + x = 180

x = 31

The right triangle also has 31 and 90 as two of its angles, we don't need to calculate to know the last angle left is 59 like the left triangle. Therefore both triangles are congruent as they are the same.