The average human heart beats
1.15
⋅
1
0
5
1.15⋅10
5
1, point, 15, dot, 10, start superscript, 5, end superscript times per day. There are
3.65
⋅
1
0
2
3.65⋅10
2
3, point, 65, dot, 10, squared days in one year.
How many times does the heart beat in one year?

A transformation is said to be not rigid because the segments is preserved.

A transformation is a function that maps one set of points to another set of points. There are different types of transformations, including translation, rotation, reflection, dilation, and combinations of these. Each type of transformation preserves certain properties of the shape or object.

The properties that are preserved during a transformation depend on the type of transformation

Similarly, a rotation is a transformation that rotates a shape or an object around a fixed point. During a rotation, the distance between any two points on the shape or object is preserved, but the direction may change. A reflection is a transformation that flips a shape or an object across a line. During a reflection, the distance between any two points on the shape or object is preserved, but the orientation may change.

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1. nonrigid

2. segment lengths are not

The given system of equations is inconsistent and has no solution. There is no specific value for y that satisfies all three equations.

The given system of equations is:

4x = 2

2y = 0

x + y = 11

We can examine each equation individually to determine the best approximation for a solution. The first equation, 4x = 2, can be simplified to x = 1/2. The second equation, 2y = 0, simplifies to y = 0. The third equation, x + y = 11, does not provide any new information as it conflicts with the values obtained from the first two equations.

By comparing the values obtained for x and y, we can see that there is a contradiction. x = 1/2 and y = 0 do not satisfy the third equation, x + y = 11, which implies that there is no single pair of values for x and y that simultaneously satisfy all three equations.

Therefore, the system of equations is inconsistent and has no solution. It is not possible to determine a specific value for y that would best approximate a solution in this case.

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The complete question is:

Find the best approximation to a solution of the following systems of equations. What the value for y?

4x=2

2y=0

x + y=11

Answer:

14 weeks

Step-by-step explanation:

so from what we know she already learned one appetizer recipe so she needs to learn 42 more so what we need to do since it's three every week we need to multiply three until we are able to get 42 so three times 14 gets 42 so that means that the answer would be 14

Answer:

65⁰

Step-by-step explanation:

When light comes into contact with a surface, the angle of reflection equals the angle of incidence.

Answer:

\(15m^{3} +9m-8\)

Step-by-step explanation:

Answer:

p(m) = 15m3 + 0m2 + 8m - 8

Step-by-step explanation:

Agility, balance, coordination, speed, reaction time, and power are all components of Skill -related fitness.

The skill-related component of physical fitness is specifically related to skills used in sports and is often (but not always) combined with other components of fitness. For example, power is strength at speed. Agility is a combination of strength and balance. The six basic fitness components related to ability are flexibility, balance, coordination (hand-eye or foot-eye), strength, reaction time and speed. If you already meet ACSM guidelines and want to train more for specific fitness-related goals, consider his six fitness components related to ability. The health component of fitness is of universal importance. Performance-related fitness components are better suited to specific athletes. For example, everyone benefits from a daily walk, but someone who walks just to get their heart pumping doesn't need to be fast enough to run a 5-minute mile.

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The discriminant of this equation is 261

It has two solutions are they are -0.76 and 0.86

From the question, we have the following parameters that can be used in our computation:

5n^2-n=13

Rewrite as

5n^2-n - 13 = 0

The discriminant is

D = b^2 - 4ac

So, we have

D = (-1)^2 - 4 * 5 * -13

Evaluate

D = 261

In (a), we have the discriminant to be greater than 1

This means that it has two solutions

We have

5n^2-n - 13 = 0

Using the quadratic formula, the solution is

x = (-b ± √D)/4a

So, we have

x = (1 ± √261)/4 * 5

x = (1 ± 16.2)/20

So, we have

x = (1 - 16.2)/20 and (1 + 16.2)/20

Evaluate

x = -0.76 and 0.86

Hence, the solutions are -0.76 and 0.86

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Answer:

  4x^2 +12x +44 remainder 161x +84

Step-by-step explanation:

At each step, the quotient term is the ratio of the leading dividend term to the leading divisor term. The first quotient term, for example, is ...

  (4x^4)/(x^2) = 4x^2

The quotient term found this way is multiplied by the divisor and subtracted from the dividend. The difference is the new dividend and the process repeats.

You're done when the degree of the dividend is less than the degree of the divisor. This remainder can be expressed as a fraction with the divisor as the denominator.

  \(\dfrac{4x^4+5x-4}{x^2-3x-2}=4x^2+12x+44+\dfrac{161x+84}{x^2-3x-2}\)

The algebraic expression that represents the given phrase is b + 15 = 180.

The algebraic expression that represents the phrase "the sum of the number of boys and 15 girls is 180" is:b + 15 = 180Explanation:Let's assume that the number of boys is "b".

According to the question, the total number of students in the class can be calculated by adding the number of boys (b) to the number of girls (15) which is equal to 180 students.Using algebra,

we can write this statement as an equation: b + 15 = 180Hence, the algebraic expression that represents the given phrase is b + 15 = 180

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The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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Answer:

Step-by-step explanation:

To calculate your new income after an increase of 8.2%, you can use the following formula:

New income = Old income + (Percentage increase * Old income)

Plugging in the values given in the problem, we get:

New income = 420,600,000 + (8.2% * 420,600,000)

New income = 420,600,000 + (0.082 * 420,600,000)

New income = 420,600,000 + 34,524,120

New income = 455,124,120

Therefore, your new income after an increase of 8.2% would be 455,124,120.

Answer:

x=3

Step-by-step explanation:

so...

13=x²+4.

start by subtracting 4 from each side to get the numbers on one side.

13-4=, and 4-4=0

now, we just have 9=x².

to undo a square, one must square root. so,

\( \sqrt{9} = 3\)

and

\( \sqrt{x {}^{2} } = x\)

now, x=3.

Answer:

we have

x²+4=13[From the same external point, the tangent segments to a circle are equal.]

x²=13-4

x²=9

x²=3²

x=3

The end behavior of the function f(x) = -x^3(x + 9)^3(x + 5) indicates that as x approaches positive or negative infinity, the function approaches negative infinity.

To determine the end behavior of the function, we examine the behavior of the function as x becomes very large (approaching positive infinity) and as x becomes very small (approaching negative infinity).

As x approaches positive infinity, the dominant term in the function is -x^3. Since x is being raised to an odd power (3), the term -x^3 approaches negative infinity. The other factors, (x + 9)^3 and (x + 5), do not change the sign or the behavior of the function significantly. Therefore, as x approaches positive infinity, f(x) also approaches negative infinity.

Similarly, as x approaches negative infinity, the dominant term in the function is also -x^3. Again, since x is being raised to an odd power (3), the term -x^3 approaches negative infinity. The other factors, (x + 9)^3 and (x + 5), do not change the sign or the behavior of the function significantly. Therefore, as x approaches negative infinity, f(x) also approaches negative infinity.

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The term "arc" is used to describe units of measure for angular distance because it refers to the length of an arc on a circle.

Angular distance is the measure of the separation between two points on a circle or an arc. The term "arc" is used to describe this measure because it refers to the length of the arc connecting the two points on the circle.

This length is a fraction of the circumference of the circle and is proportional to the angle between the two points. The use of the term "arc" in this context is a nod to the geometric origins of angular measurement, which is based on the properties of circles and their angles.

The most common units of angular measurement are degrees, minutes, and seconds, which are all based on the division of a circle into 360 equal parts (degrees) and further subdivisions (minutes and seconds).

Other units of angular measurement, such as radians and gradians, are also based on the properties of circles and their angles.

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Answer:

its D

Step-by-step explanation:

The money left will be $20

The slope is used to measure the inclination of a straight line regarding abscissa axis ( x axis) .

Given : x=0 ( no pack is bought)

to find : y = ? ( money left )

slope of a straight line = y2-y1 / x2-x1

Let us take two coordinates from the given ones (1,16) and (5,0)

slope = 0 -16 / 5-1 = -16 /4 = -4

since , slope is same for any coordinate for the whole line

to find y , using coordinate (1,16) and (0,y)

-4 = y-16 / 0-1

4 =  y- 16

y = 20

answer is option d) $20 will be left if she doesn't buy any pack

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For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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Answer:

See explanation below

Step-by-step explanation:

If the base of a radical exponent is the same then the following properties hole and x≠ 0

\(\sqrt[n]{x}\) = \(x^{\frac{1}{n}\)   Rule 1

\(\frac{x^m}{x^n} = x^{m-n}\)   Rule 2

\((x^m)^n = x^{mn}\)   Rule 3

The numerator in the expression is

\(\sqrt[3]{x^2y^5} =(x^2)^\frac{1}{3} (y^5)^\frac{1}{3} = x^\frac{2}{3}} . y ^ \frac{5}{3}\)  Using rules 1 and 3

The denominator is

\(\sqrt[4]{x^3y^4} =(x^3)^\frac{1}{4} (y^4)^\frac{1}{4} = x^\frac{3}{4}} . y ^ 1}\) Using rules 1 and 3

Therefore the original expression in exponent form is

\(\frac{x^\frac{2}{3} y ^ \frac{5}{3}}{x^\frac{3}{4} y ^ 1}}\)  

Using rule 2 we get the final expression as

\(x^{\frac{2}{3}-\frac{3}{4}}$ $y^{\frac{5}{3}-1}\)

2/3 - 3/4 = 8/12 - 9/12 = -1/2

5/3 - 1 = 5/3 - 3/3 = 2/3

So the final expression is

\($x^{-\frac{1}{12}}y^{\frac{2}{3}}$\)

Proved

Answer: I’m really sorry if you get this wrong and I will feel so bad so please don’t take it from me because I’m only 15 and also doing summer school lol, but if I had to take a quick, random guess i’d say 4. Please wait until someone else responds or look it up! I don’t want to be the reason you get it wrong.

Answer:

x=-9

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-6))/(-9-(-9))

m=(-8+6)/(-9+9)

m=-2/0

undefined

x=-9

Answer:

BC =12

Step-by-step explanation:

use parallelogram law: BC=AD=12

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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just use m a t h w a y no spaces tho

Step-by-step explanation:

Answer:

x > 2.5

Step-by-step explanation:

-25 > -5 (x + 2.5)

Divide both sides by -5. Since it's a negative number you're diving by, the inequality sign flips.

5 < x + 2.5

2.5 < x or x > 2.5

Answer:

I think it's 1789 but I'm not completely sure

Answer:

31

Step-by-step explanation:

trust me

Answer:

31

Step-by-step explanation:

W=30.584≈31

Statement B about the volume of the box is true. The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the rectangle = area × height

Volume of box =2x(2x+4)×2x - 2.

The volume is the product of the area of the base,2x(2x+4), and the height, 2x - 2.

Hence, statement B about the volume of the box is true.

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