Which of the points listed is the same distance from the x-axis as the point (7, 8.75)?

Answer: 28.26 square yards

Step-by-step explanation:

The diameter is twice the radius, so if the diameter is 6, the radius is 3.

[tex]A=\pi(3^{2})=9\pi \approx 9(3.14)=\boxed{28.26 \text{ yd}^{2}}[/tex]

Final answer:

The length and width of the rectangle constructed in this manner are approximately 64ft and 40ft respectively.

Explanation:

To find the length and width of a rectangle constructed in this manner, we can use the given information that the length is approximately 1.6 times the width and the sum of the length and width is 130ft.

Let's say the width is represented by 'w', then the length would be approximately 1.6w.

Based on the given conditions, we can write an equation: w + 1.6w = 130ft. Solving this equation, we get w = 40ft and the length is approximately 64ft.

The total value of the sum is 1800.

Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.

The process of doing addition is also called as finding the sum.

The given is,

∑n=18(3n−1)

The top number is 8 and the bottom number is 1.

Finding the sum,

Sum = [18(3 - 1)] + [18(6 - 1)] + [18(9 - 1)] + [18(12 - 1)] + [18(15 - 1)] + [18(18 - 1)] + [18(21 - 1)] + [18(24 - 1)]

= 36 + 90 + 144 + 198 + 252 + 306 + 360 + 414

= 1800

Hence the value of the sum is 1800.

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After 45 hours, approximately 46.375 mg of the isotope will be left, given its half-life is 15 hours. This was determined by calculating the amount remaining after each of three half-lives. Each half-life reduces the amount by half.

To determine how much of the isotope is left after 45 hours, we need to use the concept of half-life. The half-life of the isotope is 15 hours. This means that every 15 hours, half of the isotope decays. We start with 371 mg.

First, calculate how many half-lives have passed:

After each half-life, the amount of isotope remaining is halved:

Therefore, after 45 hours, approximately 46.375 mg of the isotope will be left.

Answer:

z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.

Step-by-step explanation:

Given  : Expressions.

To find: Which expressions are polynomials.

Solution : We have given expression

Polynomial : A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer.

So, z + 1  having variable z and contact 1 so, it is a polynomial.

6 + w is also a polynomial.

[tex]2x^{4}+4[/tex] is also a polynomial that has degree 4 .

But expression [tex]y^{2}-\sqrt[1]{y}+4[/tex] is not a polynomial because it has fractional exponent.

Therefore, z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.

Final answer:

To use the ingredients efficiently, the franchise should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger, effectively utilizing all available buns, beef patties, and cheese slices.

Explanation:

To solve the problem of how many plain burgers, double cheeseburgers, and regular cheeseburgers you should make, you need to consider the ingredients as your limiting factors. Starting with the resources available: 15 buns, 21 beef patties, and 17 cheese slices. The recipes are as follows: plain burgers require 1 beef patty and 1 bun; double cheeseburgers require 2 beef patties, 2 cheese slices, and 1 bun; regular cheeseburgers require 1 beef patty, 1 cheese slice, and 1 bun.

Therefore, you should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger to utilize the ingredients efficiently without waste.

To get the probability of two individual events both occurring, you have to multiply the probabilities of their individual events occurring. Therefore in this problem, the probability that a student selected at random will pass both French 101 and French 102 is 0.683 (.75 x .91). The answer is already rounded to three decimal places.

A 1-unit growth factor with a -56.25% change means the quantity decreases by 43.75% when it decreases by 1 unit, resulting in a factor of 0.4375.

The 1-unit growth factor represents the factor by which a quantity changes when it increases by 1 unit.

A 1-unit percent change of -56.25%. A negative percent change indicates a decrease rather than an increase.

To find the 1-unit growth factor when the percent change is -56.25%,

use the formula:

Growth Factor = Final value / Initial value

let's assume the initial value is "I" and the final value is "F."

The percent change of -56.25% means that the final value is 56.25% less than the initial value, or 43.75% of the initial value remains:

F = I - 0.5625I

  = 0.4375I

Now, calculate the growth factor:

Growth Factor

= Final value / Initial value

= F /I

= 0.4375I /I

=0.4375

Therefore, the 1-unit growth factor when the percent change is -56.25% is 0.4375, which indicates a decrease of 43.75% when the quantity decreases by 1 unit.

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The speed of tortoise with the given distance and time is 2.5 meters per minute.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, distance =12.5 meters and time =5 minutes.

We know that, Speed =Distance/Time

= 12.5/5

= 2.5 meters per minute

Hence, the speed of tortoise is 2.5 meters per minute.

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A= x^3−6x^2y+12xy^2−8y^3

Answer:

224 cars.

Step-by-step explanation:

We have been given that Jen has 1568 orange cars and 448 blue cars. she wants to line up the cars in groups so that each group has the same number of cars and contains only orange cars or only blue cars.

To solve our given problem, we will find greatest common factor of 1568 and 448.

Prime factorization of 1568: [tex]2\times 2 \times 2\times2\times2\times7\times7[/tex]

Prime factorization of 448: [tex]2\times 2 \times 2\times2\times2\times2\times7[/tex]

We can see that  448 and 1568 is [tex]2\times 2 \times 2\times2\times2\times7=224[/tex]

Therefore, each group will have 224 cars.

Answer:

118

Step-by-step explanation: