45 minus 4.5. Show work

Answer:

√(100² + 60²) = √(10,000 + 3,600) = √13,600 = 20√34 = about 116.6 m

116.6 goes into the box.

Answer:

answer is not that  asnwer is iat the bottom

Step-by-step explanation:

Either the IQR or the range are good measures of variability because the distribution has no outliers.

The Jim's age is 27.

It is required to find the age of Jim.

Number that is calculated by adding quantities together and dividing the total by the number of quantities.

Given that:

Let cousin's age = x

Let Jim's age = 3x

Since the difference between their ages is 18,

3x - x = 18  

Solving for x,

2x = 18  

x = 9  

Cousin's age is 9.

Jim's age is 27.

So, the Jim's age is 27.

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0.21 as a fraction in simplest form is 21/100.

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In this exercise and scenario, we would convert the given decimal number 0.21 into a fraction by converting it into a percentage as follows;

0.21 = 21/100

Fraction: 21/100 = 0.21.

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Answer:(-4,-2)

Step-by-step explanation:

The given equation can be solved in terms of E as E = V + F - 2.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is V - E + F = 2.

It can be solved as,

⇒ V - E + F = 2

⇒ V + F = 2 + E

⇒ E = V + F - 2

Hence, the solution for E can be obtained as E = V + F - 2.

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Final answer:

The equation V - E + F = 2 is solved for E by simple algebraic manipulation, resulting in the solved equation E = V + F - 2.

Explanation:

To solve the equation V - E + F = 2 for E, we need to isolate E on one side of the equation. This can be done through simple algebraic manipulation as follows:

The solved equation for E is thus E = V + F - 2.

This equation shows the relationship between the vertices (V), edges (E), and faces (F) in a polyhedron, known as Euler's formula in the context of geometry.

When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.

Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.

The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.

This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.

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Answer:

its 2 and 5

Step-by-step explanation:

The student's question pertains to the mathematical analysis of motion, specifically through the interpretation of velocity versus time and position versus time graphs related to cycling activities and races.

The question involves interpreting graphs that represent the velocity versus time and position versus time of two individuals riding bicycles and a race between friends. Students in middle school are often introduced to concepts of speed, velocity, and displacement and are tasked with analyzing graphs to understand these concepts in a practical scenario. The problem sets mentioned, including the velocity-time graphs, position-time graphs, and measurements of motion through various activities such as biking or collision events, are all connected to the mathematical analysis of motion in physics. By understanding how to read these graphs, students can determine factors such as constant velocity, average speeds, displacement, and the outcomes of simple collisions. These skills are essential in developing an understanding of kinematics, which is a branch of classical mechanics that describes the motion of points, objects, and systems of bodies without considering the causes of motion.

Broderick initially has $420, adds $213 from deposits, and needs $1,243 for checks, resulting in him needing to add $610 to cover his checks.

To calculate how much money Broderick needs to add to his account to cover his checks, we must first figure out his total deposits and then subtract the total amount he needs for the checks.

Broderick starts with $420 in his account and makes 6 deposits of $35.50 each. To find the total amount deposited, we multiply the number of deposits by the amount of each deposit:

Adding this total to his initial amount gives us:

Next, Broderick needs to write 4 checks for $310.75 each. The total amount for the checks is:

To determine how much additional money is needed, we subtract Broderick's available money from the total amount needed for the checks:

Therefore, Broderick needs to add $610 to his account to cover the checks.

The geometric mean of 8 and 32 is 16.

Given :

The two numbers 8 and 32

To find:

The geometric mean of given numbers.

Solution

The geometric mean is given by the formula:

[tex]G.M=\sqrt[n]{x_1\times x_2\times x_n}[/tex]

n = num ber of terms

According to question : n = 2

The geometric mean of given numbers:

[tex]G.M=\sqrt[2]{8\times 32}\\\\G.M=\sqrt[2]{256}\\\\G.M=16[/tex]

The geometric mean of 8 and 32 is 16.

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The required negative numbers are -5 and -7.

The quadratic equation is defined as a function containing the highest power of a variable is two.

Let the required negative numbers be x and y.

The sum of the square of two negative numbers is 74.

(x)² + (y )² = 74

x² + y² = 74

(x)² - (y)² = 24

y² - x² = 24

y² = x² + 24

Substitute the value of y² = x² + 24 in the equation x² + y² = 74,

x² + 24 + x² = 74

2x² = 74 - 24

2x² = 50

x² = 25

x = √25

x = ±5

x = 5, -5

Take the negative value as per the question.

Substitute the value of x = -5 in the equation y² = x² + 24,

y² = (-5)² + 24

y² = 25 + 24

y² = 49

y = √49

y = ±7

y = - 7

Therefore, the required negative numbers are -5 and -7.

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Final answer:

The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.

Explanation:

The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.

To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:

y = x + 24

Then, substitute this expression for y into the first equation:

[tex]x^2 + (x + 24)^2 = 74[/tex]

This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression

y = x + 24.

After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.