Ivan rented a truck for one day. There was a base fee of $18.99 , and there was an additional charge of 91 cents for each mile driven. Ivan had to pay $151.85 when he returned the truck. For how many miles did he drive the truck?

Answer:

$53,500 is the answer.

Step-by-step explanation:

The question is an Arithmetic Progression of common difference (d) = 700

a₁ = $50,000

a₂ = $50,700

d = $700

sixth year can be written as,

a₆ = a + 5d

a₆ = 50,000 + 5 × 700

a₆ = 50,000 + 3,500

a₆ = 53,500

therefore, Alberto will earn $53,500 in his sixth year of employment.

His salery grows by 700 per year, as you can see. This can be represented as \(700x+50000\), where 50,000 represents the starting wage, 700 represents the annual increase, and \(x\) represents the year (starting from 0). So, if you want to know his wage in his sixth year of employment, simply substitute 5 for \(x\). Note that \(x\) is the number of years minus one. As a result, the answer is \(700(5)+50000=53500\).

the answer to your question is D

Answer:

m ∠ CDB ≈ 68.7°

Step-by-step explanation:

Answer:

The equation used to relate the change in pressure to change in height in a manometer is Δ = Δ ℎ

Answer:

30 square meters

Answer:

How many square meters is a 7 meter by 8 meter rectangle? Use this easy and mobile-friendly calculator to compute the area of a rectangle given the length of ...

Step-by-step explanation:

The quotient of √x ³ / √5 x ² is √ ( x / 5 )

To find : the product of √x ³ / √5 x ²

By checking the power of roots for each term

The terms which are given are √x ³ and √5 x ²

Since both the numbers have the same root power they can be combined under the same square root for further operation

Dividing the terms

=> √ ( x ³ / 5 x ² )

=> √ ( x / 5 )

Therefore, we get the quotient of √x ³ / √5 x ² as √ ( x / 5 ).

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The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Answer:

The "what" is 100

Step-by-step explanation:

Rewrite this as 37.6y = 3760 and set out to determine y:

y = 3760/37.6  = 100

The "what" is 100

Answer:

Tax: $23.95

Total: $502.95

Explanation:

The tax that you have to pay is equal to 5% of $479. So, we can calculate the tax as follows:

So, you need to pay $23.95 for tax.

Then, in total, you pay the initial cost plus the sales tax, so:

$479 + $23.95 = $502.95

Therefore, the answers are $23.95 for tax and $502.95 in total.

The equation 0.05n + 0.10d = 3.65 is equivalent to the equation 0.05n + 0.1d + 3.65. This equation states that the total value of the nickles and dimes in Jada's coin jar is 3.65.

The equivalent equation  0.05n + 0.1d+3.65 is 5n + 10d = 365. This equation can be obtained by multiplying both sides of the original equation by 100 to eliminate the decimal points. This gives us:

100(0.05n + 0.1d + 3.65) = 100(3.65)
5n + 10d + 365 = 365

Next, we can subtract 365 from both sides of the equation to isolate the variables on one side:

5n + 10d = 365

Therefore, the equation 5n + 10d = 365 is equivalent to the original equation 0.05n + 0.1d+3.65 and can be used to represent the situation of Jada's coin jar.

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Answer:

deductive

Step-by-step explanation:

The length of the cable is 13.4 ft

Here, we want to find the height of the cable

By the given information in the question, we start with a diagrammatic representation of the information

We have this as follows;

As seen from above, what we have is a right-triangle, with the cable length representing the hypotenuse (the longest side)

Using Pythagoras' theorem, we can get the cable length

The square of the length of the hypotenuse is equal to the sum of the squares of the two other sides

Mathematically, we have this as follows (we are representing the length of thecable by c0

Thus, we have it that;

Part a)Given, utility function of the consumer as:U(x1, x2) = log(x1) + log(x2)X1 ≤ 0.5Let p2 = 1 and m = 1, and p1 is unknown. The consumer has a budget constraint as: p1x1 + p2x2 = m = 1Now we have to find the minimal p1 such that the consumer consumes x1 strictly less than 0.5.

We need to find the value of p1 such that the consumer spends the entire budget (m = 1) on the two goods, but purchases only less than 0.5 units of the first good. In other words, the consumer spends all his money on the two goods, but still cannot afford more than 0.5 units of good 1.

Mathematically we can represent this as:

p1x1 + p2x2 = 1......(1)Where, x1 < 0.5, p2 = 1 and m = 1

Substituting the given value of p2 in (1), we get:

p1x1 + x2 = 1x1 = (1 - x2) / p1Given, x1 < 0.5 => (1 - x2) / p1 < 0.5 => 1 - x2 < 0.5p1 => p1 > (1 - x2) / 0.5

Now we know, 0 < x2 < 1.So, we will maximize the expression (1 - x2) / 0.5 for x2 ∈ (0,1) which gives the minimum value of p1 such that x1 < 0.5.On differentiating the expression w.r.t x2, we get:d/dx2 [(1-x2)/0.5] = -1/0.5 = -2

Therefore, (1-x2) / 0.5 is maximum at x2 = 0.

Now, substituting the value of x2 = 0 in the above equation, we get:p1 > 1/0.5 = 2So, the minimal value of p1 is 2.Part b)Now, we have to show mathematically that whether the threshold on p1 found in Part a increases/decreases/stays the same when p2 increases.

That is, if p2 increases then the minimum value of p1 will increase/decrease/stay the same.Since p2 = 1, the consumer’s budget constraint is given by:

p1x1 + x2 = m = 1Suppose that p2 increases to p2′.

The consumer’s new budget constraint is:

p1x1 + p2′x2 = m = 1.

Now we will find the minimal p1 denoted by pi, such that the consumer purchases less than 0.5 units of good 1. This can be expressed as:

p1x1 + p2′x2 = 1Where, x1 < 0.5

The budget constraint is the same as that in Part a, except that p2 has been replaced by p2′. Now, using the same argument as in Part a, the minimum value of p1 is given by:

p1 > (1 - x2) / 0.5.

We need to maximize (1 - x2) / 0.5 w.r.t x2.

As discussed in Part a, this occurs when x2 = 0.Therefore, minimal value of p1 is:

pi > 1/0.5 = 2

This value of pi is independent of the value of p2′.

Hence, the threshold on p1 found in Part a stays the same when p2 increases.

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Answer: (5,5)

Step-by-step explanation:

The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).

Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.

If x=5, then y=5 as well.

So, F has coordinates (5,5).

You will reject the null hypothesis if your sample average is in the area of the null hypothesis sampling distribution called alpha.

In summary, to reject the null hypothesis, the sample average needs to fall in the area of the null hypothesis sampling distribution known as alpha.

To explain the answer, hypothesis testing involves comparing a null hypothesis (the statement being tested) with an alternative hypothesis. In this scenario, the null hypothesis states that the average number of screaming 12-year-olds at Ariana Grande concerts is equal to the known population average of screaming 12-year-olds at Drake concerts.

To make a decision about the null hypothesis, we calculate the sample average from data collected at Ariana Grande concerts. We then compare this sample average to a predetermined significance level called alpha.

If the sample average falls within the critical region, which is determined by alpha, we reject the null hypothesis. The critical region represents extreme values that would be unlikely to occur if the null hypothesis were true.

Therefore, if the sample average is in the area of the null hypothesis sampling distribution called alpha, we reject the null hypothesis, indicating that there is a significant difference between the average number of screaming 12-year-olds at Ariana Grande concerts and the known population average at Drake concerts.

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The complete question is :

Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if.....

a)your null (comparison) average is in the area of the alternative hypothesis sampling distribution called D (Beta)

b) your null (comparison) average is in the area of the alternative hypothesis sampling distribution called u (alpha)

c)your sample average is in the area of the null hypothesis sampling distribution called beta

d)your sample average is in the area of the null hypothesis sampling distribution called alpha.

Answer:

A

Step-by-step explanation:

Answer:

The answer is B: 22 + (2+58)

Step-by-step explanation:

I used the law of the associative property because that number will still add up to be at least 82.

total time = 4 hours

Upstream = 15 km/h

downstream = 25 km/h

The disatance is the same

speed = distance / time

solve for distance

distance = speed x time

total distance = distance upstream + distance downstrem

4(average speed) = 15(first time) + 25(second time)

The amount of grain can the container hold is 953.78 inch³ as it in the form of cylinder

Diameter of cylinder = 9 in

Radius of cylinder = 9 / 2 in

Radius of cylinder = 4.5 in

Height of cylinder = 15 inch

Volume of cylinder = Amount of grain can this container hold

Volume = πr²h

Substitute the values of radius and height

Volume = (3.14)(4.5)²(15)

Amount of grain can this container hold = 953.78 inch³

Hence, the amount of grain can the container hold is 953.78 inch³

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Answer:

Step-by-step explanation:

We divide the number by 8 and write the remainder in reverse order to get the equivalent octal number.

Answer:

Let's write down the base of each one:

- Decimal is base 10 (0 to 9)

- Octal is base 8 (0 to 7)

So, if we want to convert decimal to octal, we need to divide the decimal number by 8 and hold onto the remainder.

Then once your quotient becomes 0, from the last remainder to the first, write your numbers.

For example here is 437 base 10.

437 / 8 = 54 R 5

54 / 8 = 6 R 6

6 / 8 = 0 R 6

So, the answer is 665 base 8.

Answer:

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets:(i) A = {a, b, c} (ii) B = {d, e, f, g} (iii) C = {a, c, e, g} (iv) D = { f, g, h, a}

Answer:

A= { a,b,c,d,e}

B= {d,e,f,g,h,i}

C= {a,e,i,o,u}

AuBuC = {a,b,c,d,e,f,g,h,i,o,u}

HAVE A NİCE DAY

Step-by-step explanation:

GREETİNGS FROM TURKEY ¯ツ

Answer:

12/7

Step-by-step explanation:

The value of the expression as a fraction is 12/7.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

6/7 ÷ 1/2

This can be written as,

= (6/7) / (1/2)

= (6 x 2)/7

= 12/7

Thus,

The value is 12/7.

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Answer:

The answer is A. 10b = c

Step-by-step explanation:

Well if it's $10 per book and the total cost is C. Then you would multiply the amount of books with the cost per book and have it equal the the total C.

the exact values of the six trigonometric ratios for the angle 0 are:

sin(0) = 0

cos(0) = 1

tan(0) = 0

csc(0) = undefined

sec(0) = 1

cot(0) = undefined

To find the exact values of the six trigonometric ratios for the angle 0 in a triangle, we need to use the definitions and relationships between the trigonometric functions.

Given that sin(0) = cos(0) = tan(0) = csc(0), we can determine the values as follows:

1. sin(0):

Since sin(0) is equal to the ratio of the opposite side to the hypotenuse in a right triangle, and 0 is the angle opposite the side of length 0, we have sin(0) = 0/1 = 0.

2. cos(0):

Cosine is the ratio of the adjacent side to the hypotenuse in a right triangle. In this case, since the angle 0 is adjacent to the side of length 1, we have cos(0) = 1/1 = 1.

3. tan(0):

Tangent is the ratio of the opposite side to the adjacent side in a right triangle. Since the opposite side has length 0 and the adjacent side has length 1, we have tan(0) = 0/1 = 0.

4. csc(0):

Cosecant is the reciprocal of sine. Since we found sin(0) to be 0, the reciprocal of 0 is undefined.

5. sec(0):

Secant is the reciprocal of cosine. Since we found cos(0) to be 1, the reciprocal of 1 is 1.

6. cot(0):

Cotangent is the reciprocal of tangent. Since we found tan(0) to be 0, the reciprocal of 0 is undefined.

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The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.

The optimal mix for the maximum profit can be found as follows:

The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg

Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0

Let us now calculate the total cost of making 1kg of toffee pack.

Cost = 20a + 10b + 5c

If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by

Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)

Now we have the following linear programming problem:

Maximize P = 17 - (20a + 10b + 5c)

Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)

a >= 0.3a + b - c >= 0a, b, c >= 0

We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:

We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).

Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is

P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5

Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5

Corner point (0.6, 0, 0.4) result in a profit of 6

Corner point (0, 0.5, 0.5) results in a profit of 5

Corner point (0, 1, 0) gives a profit of 3

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The statement that predicates \(∀x∀y∃z q(x, y, z)\) is true only for option b, where q(x, y, z) is defined as "xy = z." The correct option is B.

The statement for which \(∀x∀y∃z q(x, y, z)\) is true depends on the predicate q(x, y, z) provided in the options.

a. Let Q(x, y, z) be the statement "(x) = z = x = vz)." In this case,\(∀x∀y∃z\)\(Q(x, y, z)\) is false. It implies that for every x and y, there exists a unique z such that x = z = vz. However, this is not true for all real numbers since the equation implies that every real number is equal to its reciprocal, which is not the case.

b. Let O(x, y, z) be the statement "xy = z." Here, \(∀x∀y∃z O(x, y, z)\) is true. For any two real numbers x and y, we can always find a z such that z = xy. Therefore, the statement holds true for all real numbers.

c. Let Q(x, y, z) be the statement "xyz = x(yz)." In this case, \(∀x∀y∃z Q(x, y, z)\) is false. The equation implies that for all x and y, there exists a z such that the equality holds. However, this is not true for all real numbers, as the equation represents an associative property of multiplication that doesn't hold universally.

d. Let Q(x, y, z) be the statement "x = y = z." In this case, \(∀x∀y∃z Q(x, y, z)\) is false. The equation implies that for every x and y, there exists a unique z such that x = y = z. However, this is not true for all real numbers since not all real numbers are equal.

Therefore, the statement \(∀x∀y∃z q(x, y, z)\) is true only for option b, where q(x, y, z) is defined as "xy = z."

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A pond contains 100 fish, of which 30 are carp. if 20 fish are caught, what are the mean and variance of the number of carp among the 20. This Statement is based on the assumption that : X follows hyper-geometric distribution with the given information.

According to the Question:

Total fish = 100

Carp = 30

Number of fish caught = 20

Now,

The random variable X follows hyper-geometric distribution.

Mean = 30 *20 / 100

         = 600/100 = 6

Therefore,

Variance = 30*20/100 * ((20-1)*(30-1)/100-1 + 1-30*20/100)

⇒ Variance = 600/100 * 56/99

⇒ Variance = 112/33

⇒ variance = 3.1111 ≈ 3.12

Assumptions:

Is that X follows hyper-geometric distribution with the given information.

Hyper - Geometric Distribution:

In probability theory and statistics, the hypergeometric distribution is a discrete probability distribution that yields n draws without replacement for k successes (if the drawn object has a particular property). random draw). From a finite population of size N containing exactly K objects with this property, each draw either succeeds or fails. In contrast, the binomial distribution describes the probability of k successes in n draws with replacement.

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Answer:

13. Bestie literally 9+4

Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.

You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?

You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.

Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:

9 - 4 = 5

Step-by-step explanation: