The two numbers with a product of 30 and a sum of 17 are

Final answer:

Whether even or odd numbers have more factors depends on the specific properties of each number, such as its prime factor composition, rather than on the binary classification of being even or odd.

Explanation:

The question of whether even numbers have more factors than odd numbers or vice versa does not have a straightforward answer, as it varies from number to number. In general, the quantity of factors a number has depends more on the specific properties of that number, such as its composition of prime factors, rather than simply on whether it is odd or even. For example, a number like 2 (which is even) has only two factors (1 and itself), while an odd number like 9 has three factors (1, 3, and 9). Similarly, an even number such as 12 has more factors (1, 2, 3, 4, 6, and 12) than many other even and odd numbers. Therefore, the distinction between even and odd in terms of number of factors is not particularly meaningful without considering the specific characteristics of individual numbers.

To multiply exponentials, multiply the base numbers and add exponents. Adjust the format to have one digit before the decimal, if necessary. To divide, divide the base numbers and subtract the exponents.

To deal with the multiplication of exponentials, simply multiply the base numbers (digits) as you normally would, and then add the exponents. Remember to keep the result in the acceptable form, meaning that for a number like 2.4×10⁴, there should be only one digit to the left of the decimal point. To handle negative exponents, add them as usual, and adjust the exponent to maintain a positive value. For dividing exponentials, you divide the base numbers and subtract the exponents.

Here's a step-by-step example for multiplication: Suppose you have 5.1×10³ and 4.2×10⁴. You multiply the base numbers to get 21.42, and then add the exponents (3+4) to get 7, which gives you 21.42×10⁷. To adjust the number to proper form, you would change it to 2.142×10⁸. For squaring an exponential like 3×10², you'd square the 3 to get 9 and multiply the exponent by 2 to get 4, leading to 9×10⁴.

When squaring exponential terms, square the digit term and multiply the exponent by 2. For instance, (2×10²)² equals 4×10⁴. And remember, any number to the power of zero equals one, as 0 exponent implies no multiplication of the base number, leaving us with the implicit base of multiplication which is 1.

Answer:d

Step-by-step explanation:test

Answer: x=0  is a counterexample to Kelvin's conjecture.

Explanation:-

Given that x is a number that is not negative, Kelvin conjectured that [tex]x^2>x+1[/tex]

A counter example is an example that contradicts or opposes the conjecture.

Thus -12 and -2 cannot be the value of x for the counter example as they are negative

The positive numbers in options are 0 and 5,such that

[tex]0^2>0+1\\\Rightarrow0>1...\text{which is not true.}[/tex]

[tex]5^2>5+1\\\Rightarrow25>6...\text{which is true.}[/tex]

Thus the value of x=0 contradicts the conjecture made by Kevin.

⇒x=0  is a counterexample to Kelvin's conjecture.

To determine how many gallons Hanks' pickup will need to travel 26 miles, a proportional relationship was used based on the known mileage of traveling 52 miles on 4 gallons. The calculation revealed that 2 gallons of gas will be needed for the 26-mile journey.

The student's question about fuel consumption can be solved using a simple proportional relationship. Since Hanks' pickup can travel 52 miles on 4 gallons of gas, we can find out how many gallons will be necessary to travel half of that distance, which is 26 miles. By setting up a proportion, we can find the answer.

Steps to solve the problem:

Therefore, Hanks' pickup will need 2 gallons of gas to travel 26 miles.

The pickup truck will need 2 gallons of gas to travel 26 miles.

To find out how many gallons the pickup will need to travel 26 miles, we can set up a proportion using the given information.

Since the pickup can travel 52 miles on 4 gallons of gas, the rate of miles per gallon is 52 miles/4 gallons = 13 miles/gallon.

Using this rate, we can set up the proportion: 13 miles/gallon = 26 miles/x gallons. Solving for x, we can cross multiply and divide: 13x = 26 * 1, x = 26/13 = 2.

Therefore, the truck will need 2 gallons of gas to travel 26 miles.

Answer:

4

Step-by-step explanation:

Quartiles divide the data into 4 equal parts. So, each quartile will have 16/4= 4  values. Therefore, the number of values in the upper quartile is 4.

90 hundreds = 90 * 100 = 9000

9000 = 9 thousands

The bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The speed of the bus = 65 km/h

The time taken = 7 hours

As we know,

The formula for finding the distance is given:

Distance = time×speed

Distance = 7x65

Distance = 455 km

Thus, the bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

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The number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, 5 different colored balls be placed into bins labeled 1 through 8.

We know that, P(n, r) =n!(n-r)!

Here, P(8, 5) = 8!/(8-3)!

= 8×7×6×5!/5!

= 8×7×6

= 336

Therefore, the number of ways 5 different colored balls be placed into bins labeled 1 through 8 so that no bin contains more than one ball is 336.

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