Find the smallest value of k if 264k is a perfect square

Answer with explanation:

If the length of three segments are, 9.2, 14.5 and 17.1 ,it can be sides of triangle if , Sum of two segments is greater than the third segment.

1.→ 9.2 +14.5=23.7 >17.1

2.→ 14.5 +17.1=41.6 > 9.2

3.→17.1 +9.2=26.3 >14.5

As, sum of any two segment is greater than third segment, so the following measurements can be the the lengths of the sides of a triangle.  

The amount that Colin will get more than Paul is $7.90.

From the information given, Paul's share will be:

= 2/9 × $71.10

= $15.80

The share of Colin will be:

= 3/9 × $71.10

= $23.70

The difference between Colin's share and Paul's share will be:

= $23.70 - $15.80

= $7.90

Therefore, the amount that Colin will get more than Paul is $7.90.

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Answer:

6ft.

Step-by-step explanation:

Answer:

[tex]2x^{2}+7x-4[/tex]

Step-by-step explanation:

We are given to find the product of (2x-1) and (x+4).

So, we have,

[tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+8x-x-4[/tex] = [tex]2x^{2}+7x-4[/tex].

Thus, the product of (2x-1) and (x+4) is [tex]2x^{2}+7x-4[/tex].

i.e. [tex](2x-1)(x+4)[/tex] = [tex]2x^{2}+7x-4[/tex].

Karen's situation can be modeled by the following system of inequalities:

Total number of utensils: p + n ≤ 25 (p = number of pens, n = number of pencils)

Pencils vs. pens: n ≥ (3 - p)^2 (pencils must be at least the square of 3 less than the number of pens)

Viable solutions: All solutions within this system are viable.

First inequality: This ensures that the total number of writing utensils (pens + pencils) doesn't exceed 25, Karen's desired maximum.

Second inequality: This accounts for Karen's preference for having at least as many pencils as the square of 3 less than the number of pens. It avoids solutions with fewer pencils than the squared difference.

Viable solutions: Since both inequalities are valid and independent, any solution that satisfies both is acceptable. This leaves a broad range of viable combinations of pens and pencils, allowing Karen flexibility within her limits.

Therefore, all solutions within the system of inequalities are valid possibilities for Karen's purchase. She can choose any combination of pens and pencils as long as their total is 25 or less and the number of pencils is greater than or equal to the square of 3 less than the number of pens.

A graph that correctly represents the exponential function [tex]f(x) = 2^x[/tex] include the following; B. graph B.

In Mathematics and Euclidean Geometry, an exponential function can be modeled by using this mathematical equation:

[tex]f(x)=a(b)^x[/tex]

Where:

Based on the information provided above, we would select the following exponential function to plot on a set of axes or cartesian coordinate;

[tex]f(x) = 2^x[/tex]

where:

The rate of change (b) is 2 and it represents an exponential growth.

The y-intercept (a) is 1 and it means the graph of this function would cross the y-axis at point (0, 1).

In conclusion, we can logically deduce that only graph B correctly represent an exponential function with these key features.

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Missing information:

Which of the following graphs represents the function [tex]f(x) = 2^x[/tex]?

The expression which shows the change in Carlotta's savings is x-8 if her she owes her brother $6.

An expression is a combination of numbers, symbols and variables but not in equal to form.

In the problem Jasmine and Carlotta borrowed $28 from their brother. Since both need to pay back equally so Carlotta needs to pay back $14 but she owes 6 from her brother so she now  has to pay only 8.

Let the savings be x

in this way only $8 needs to be subtracted from savings.

The expression will be = x-8.

Hence the expression which shows the change in savings is x-8.

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By definition, the surface area of a sphere is given by:

[tex] A = 4 * \pi * r ^ 2
[/tex]

Where,

r: sphere radius

Substituting values in the given equation we have:

[tex] A = 4 * 3.14 * 8 ^ 2
[/tex]

Doing the calculations we have:

[tex] A = 803.84
[/tex]

Rounding to the nearest tenth:

[tex] A = 803.8 cm ^ 2
[/tex]

Answer:

The surface area of a sphere with a radius of 8cm is:

B. 803.8 cm ^ 2

Answer:

The answer should be 1.10

Step-by-step explanation:

The reason being is that I took the test. I hope you do well iA

Answer:

C)Reflected over the x-axis and rotated 90 degrees counterclockwise

Step-by-step explanation:

Reflection over the x-axis move point C from (-1, 1) to (-1, -1), point D from (-1, 2) to (-1, -2), point A from (-4, 2) to (-4, -2) and point B from (-4, 1) to (-4, -1). As can be seen, y-coordinate changes sign, so that, the distance between the original point and its reflection respect x-axis remains the same.

Rotation 90 degrees counterclockwise around origin means that x-coordinate and y-coordinate switches and x-coordinate is multiplied by -1. So, point (-1, -1) transforms into (1, -1) - point C' -, (-1, -2) transforms into (2, -1) - point D' -, point (-4, -2) transforms into (2, -4) - point A' - and point (-4, -1) transforms into (1, -4) - point B'.

Exponents multiply a number by itself, while exponential functions contain variables in the exponent. Algebra 1B tasks involving these could include simplifying exponents, solving problems with exponential functions, and creating or interpreting an Exponential Functions Table. Studying, understanding rules, and practicing problems will aid success.

It seems like you need help with understanding Exponents and Exponential Functions. Exponents are a way of multiplying a number by itself. For example, 2^3 means 2 is multiplied by itself twice (2 * 2 * 2).

On the other hand, exponential functions are a special type of functions where the variable is in the exponent. For instance, the function f(x) = 2^x is an exponential function.

For your Algebra 1B tasks, here's a sample process: for Task 1, you might be required to simplify numbers or expressions using exponents. Task 2 may require you to solve problems using exponential functions. And Task 3 could involve creating or interpreting an Exponential Functions Table, which is a table showing the values of an exponential function for different x-values.

Remember to follow your study guides, textbooks, and your teacher's instructions for each task. Practicing problems and understanding the rules of exponents and exponential functions will help you earn those 30 points!

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The correct answer is (D) (6, 2).

To find the new coordinates of point W after sliding the rectangle three units to the right, you need to add 3 to the x-coordinate of point W.

Given the initial coordinates of rectangle WXYZ, if the point W is at (x, y), then after sliding three units to the right, the new coordinates of W will be (x + 3, y).

Therefore, the correct answer is (D) (6, 2).

Final answer:

Sasha's method of increasing swimming time is exponential, doubling each week, while Mona's method is linear, adding a fixed number of 10 minutes each week.

Explanation:

The question asks about the methods Sasha and Mona used to increase their swimming practice times over several weeks. Sasha's method is exponential because each week, the number of minutes she practices doubles, which is a fixed factor of increase. Every week, Sasha's swimming time increases by a factor of 2. Therefore, her increase is exponential. Mona's method is linear because she increases her swimming time by a fixed number of 10 minutes each week. Her increments are consistent and add the same amount each time, defining a linear pattern of increase.