The product of 2 decimal numbers is 20. 062 one of the factors has 2 decimal places. How many decimal place (s) has the other factor?​

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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Answer:

-1

Step-by-step explanation:

6(x) - (3y + 7) - xy

6(5) - (3(3) + 7) - (5)(3)

30 - (9+7) - 15

30 - 16 - 15

-1

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

1. replace all the variables with the values it gives you-

6(5) - [ 3(3) + 7] - (5)x(3)

2. then if you combine everything using pemdas-

30 - (9 + 7) - 15

3. repeat step #2-

30 - 16 - 15

4. then solve-

30 - 16 = 14 then subtract 15 to give you -1

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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The amount of grass needed for the courtyard is given as follows:

105.68 square feet.

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is half the diameter, given as follows:

r = 0.5 x 11.6

r = 5.8 ft.

Hence the area is given as follows:

A = π x 5.8²

A = 105.68 square feet.

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Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) can be found by considering the unit circle and the properties of cosine.

Since the cosine function represents the x-coordinate of a point on the unit circle, we can look for the angles where the x-coordinate is -(sqrt2/2).

One such angle is 135 degrees (or 3π/4 radians), where the cosine is equal to -(sqrt2/2). At this angle, the x-coordinate of the corresponding point on the unit circle is -(sqrt2/2).

Another angle with the same x-coordinate is 225 degrees (or 5π/4 radians). At this angle, the cosine is also equal to -(sqrt2/2).

Two of the solutions of the equation cos(x/2) = -(sqrt2/2) are 135 degrees and 225 degrees (or 3π/4 radians and 5π/4 radians). These angles satisfy the given equation and have the desired x-coordinate on the unit circle.

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Answer:

C. The relation does not represent y as a function of x, because one value of x is associated with two values of y

Step-by-step explanation:

I chose choice c because in the relation we can see that the x-value 1 repeated but their y-values are different, one has 0 as its y-value and one has -2 as its y-value. In a function, this can't happen so it's not a function.

Hope this helps you

Let's start by adding all the values for what Candace order:

Total for the order: $4 + $2 + $3 = $9

since she has a $10 bill,

she will be able to pay for it, and have the following change back:

$10 - $9 = $1

she will get back $1.

The math equations we created are then:

4 + 2 + 3 = 9

10 - 9 = 1

Answer:

44

Step-by-step explanation:

Since the triangles are congruent.

Angle B and angle E are equal in size.

x + 4 = 48

x = 48 - 4

x = 44

Answer:

-6

cuz I'm smart. big brain time

The given conditions require us to create an espresso on with a coefficient of 5 and a constant of 8, using 3 terms.

To create an espresso on with these specifications, we can start by using the standard form of a quadratic equation, which is ax^2 + bx + c. Since we need 3 terms, we can set a = 5 and c = 8, as given in the conditions. To find b, we can use the fact that the coefficient of x in the expression is 0, which means that b must be equal to 0 as well. Thus, the resulting expression would be 5x^2 + 8. This satisfies all the conditions given and is the required espresso on.

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Answer:

1,070 g

Step-by-step explanation:

Half-life is the length of time it takes for half of the radioactive atoms of a radionuclide to decay. In this scenario, the amount of radioactive atoms is halved after 15 minutes. After 45 minutes, then, the amount of radioactive atoms is halved three times. Therefore:

1st half-life: 8,560 ÷ 2 = 4,280 g

2nd half-life: 4,280 ÷ 2 = 2,140 g

3rd half-life: 2,140 ÷ 2 = 1,070 g

\(\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}\)

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

\(\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)\)

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

\(\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.\)

Multiply  both parts of the equation (3) by -1:

\(\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.\)

Add these equations :

\(14B=\frac{182}{14}\\\\ 14B=14\)

Divide both parts of the equation by 14:

\(B=1\)

Hence, let's substitute the value of B into equation (4):

\(\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\\)

\(\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}\)

Answer:

27.2 units (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

x - 4

Step-by-step explanation:

The volume V is calculated as

V = lbh

Given 2 of the dimensions

(x - 1)(x - 3) = x² - 4x + 3

Then the third dimension is found by dividing V(x) by x² - 4x + 3

Using long division

                                                 x      - 4

                        -----------------------------------------

x² - 4x + 3        | x³   - 8x²    + 19x    - 12

                         x³   - 4x²     + 3x

                        -------------------------------------

                               - 4x²      + 16x    - 12

                               - 4x²      + 16x    - 12

                       --------------------------------------

                                                           0 ← remainder

Thus quotient = x - 4

That is the missing dimension is x - 4

Answer:

The HCF of 60 and 114 is - 6. !!

Answer:

Hey Hun

114=60*1+54

60=54*1+6

54=6*9+0

so......6 is the answer

In scenario three, we explore additional options e and f, each with their own unique probabilities and potential outcomes.

Option e introduces a 50% chance of winning $0 or an unspecified amount, while option f offers a 50% chance of winning either $20 or $60.

These options introduce different potential outcomes and associated probabilities compared to the original scenarios. In option e, there is an equal chance of winning nothing or winning an unspecified amount of money.

The introduction of these options expands the range of possible outcomes and probabilities in scenario three, providing different risk-reward trade-offs for the decision-maker.

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Answer:

-7x + 2y - 2z.

Step-by-step explanation:

Using the distributive property, you basically have...

-1 * 7x + -1 * -2y + -1 * 2z = -7x + 2y - 2z.

Hope this helps!

Answer:

smaller number = 3 5/24

larger number =  6 13/24

Step-by-step explanation:

let the larger number = x

smaller number = y

x - y = 3 1/3 equation 1

2(x +y) = 191/2 equation 2

divide equation 2 through by 2

x + y = 9 3/4  equation 3

subtract equation 1 from 3

2y = 6 5/12

y = 77/12 x 1/2 = 3 5/24

substitute for y in equation 1

x - 3 5/24 = 31/3

x = 3 1/3 + 3 5/24

x = 6 13/24

Answer:

3 and 5/24

Step-by-step explanation:

trust me bro

i wish u luck

also

hi

i just realized that the other person got it right

ignore this lol

The missing side length is 17 and the side lengths 8, 15, and 17 form a Pythagorean triple.

Side lengths: 8, 15

Missing side length: 17

Yes, the side lengths form a Pythagorean triple. The side lengths 8, 15, and 17 form a Pythagorean triple because 8^2 + 15^2 = 17^2.

To answer this question, we first need to determine if the side lengths 8, 15 and the missing side length form a Pythagorean triple. To do this, we use the Pythagorean theorem which states that the sum of the squares of the two shorter sides of a right triangle is equal to the square of the longest side. If this is true, then the side lengths form a Pythagorean triple.

In this case, we can plug in the side lengths 8 and 15 into the Pythagorean theorem. 8^2 + 15^2 = 17^2. Since the equation is true, this means that the side lengths 8, 15 and 17 form a Pythagorean triple. Therefore, the missing side length is 17.

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True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

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The minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

\(\rm a^b = c\\log_ac =b\)

We have:

1 < a ≤ x

We have an expression:

\(\rm log_a(x)+log_x(x)\)

We know,

\(\rm log_aa = 1\)

\(\rm log_a(x)+1\)

If a = x

Then, \(\rm log_a(x)=1\)

We cannot find the function value less than 1 because it goes infinitely in a negative direction.

So the minimum value of the expression:

= 1 + 1

= 2

Thus, the minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

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Answer:

Y=(x+10)^2-105

Step-by-step explanation:

y=x^2+20x-5

y+?=x^2+20x+?-5

y+?=x^2+20x+100-5

y+100=x^2+20x+100-5

y+100=(x+10)^2-5

y=(x+10)^2-5-100

Answer:

C

Step-by-step explanation:

from some other question so thank this guy

Frika

The scale is balanced so both sides need to weigh the same amount.

On the left side you have:

6 squares, 3 circles and 2 triangles

On the right side you have:

3 squares, 2 circles and 5 triangles

Sunday equal amounts of each from both sides you would have:

3 squares and 1 circle in the left and 3 triangles in the right.

So we know the 3 squares and 1 circle = 3 triangles:

3 squares x 2 grams = 6 grams

1 circle x 3 grams = 3 grams

6 + 3 = 9 grams

9 grams / 3 triangles = 3 grams per triangle.,

The rate at which body cover distance is given by speed.

The formual for the speed is,

For the given question, distance is d=34 miles and time is t=4/5 hours.

Substitute the value in the formula to obtain the speed of Camden.

So the speed at which camden cover distance is 85/2 miles per hour.

To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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Los polinomios en formato ascendente son los siguientes:

Caso A: y = - 6 + x + 7 · x² - 4 · x³ + 10 · x⁴

Caso B: y = 11 + 2 · m - 9 · m³ + 4 · m⁴ - 5 · m ⁶

Caso C: y = - 10 - a⁴ · b³ + 3 · a³ · b⁴ + (1 / 2) · a² · b⁵

Caso D: y = 0 - 3 · m · n³ · x - m · n² · x² + (1 / 8) · x³

Caso E: y = 4 · x¹⁰ - 6 · x⁸ · y² - 9 · x⁴ · y⁶

Caso F: y = - 13 - (2 / 5) · x² · m² + x⁴ · m³

Caso G: y = - 7 · b  + (17 / 5) · b · n⁵ · m² + b · n² · m³  

Los términos independientes son los siguientes:

Caso A: - 6

Caso B: 11

Caso C: - 10

Caso D: 0

Caso E: 4 · x¹⁰

Caso F: - 13

Caso G: - 7 · b

Los polinomios son expresiones algebraicas que tienen la siguiente forma, la cual incluye un término independiente:

y = k + Σ cₙ · xⁿ · yᵃ⁻ⁿ, for n = {0, 1, 2, ..., a - 1, a}

Donde:

Nótese que la definición anterior permite derivar un polinomio en forma ascendente. A continuación, tenemos los siguientes resultados según toda esta información:

Caso A

y = - 6 + x + 7 · x² - 4 · x³ + 10 · x⁴

Término independiente: - 6

Caso B

y = 11 + 2 · m - 9 · m³ + 4 · m⁴ - 5 · m ⁶

Término independiente: 11

Caso C

y = - 10 - a⁴ · b³ + 3 · a³ · b⁴ + (1 / 2) · a² · b⁵

Término independiente: - 10

Caso D

y = 0 - 3 · m · n³ · x - m · n² · x² + (1 / 8) · x³

Término independiente: 0

Caso E

y = 4 · x¹⁰ - 6 · x⁸ · y² - 9 · x⁴ · y⁶

Término independiente: 4 · x¹⁰

Caso F

y = - 13 - (2 / 5) · x² · m² + x⁴ · m³

Término independiente: - 13

Caso G

y = - 7 · b  + (17 / 5) · b · n⁵ · m² + b · n² · m³  

Término independiente: - 7 · b

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The estimation of the fractions to the nearest whole number is \(5\frac{13}{40}\)

The fractions are in mixed fractions. Let's convert it to improper fraction and do the arithmetic.

Therefore,

\(8\frac{1}{5} - 2\frac{7}{8}\)

\(8\frac{1}{5}=\frac{41}{5}\)

\(2\frac{7}{8} =\frac{23}{8}\)

Therefore,

\(\frac{41}{5} -\frac{23}{8} = \frac{328-115}{40} =\frac{213}{40}\)

Hence,

\(\frac{213}{40} =5\frac{13}{40}\)

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The present value of the loan is found to be  approximately $70.28.

To find the present value of a loan, we can use the formula:

Present Value = Future Value / (1 + (interest rate * time))

Given that the future value is $1,321.17, the interest rate is 7.75%, and the time is 230 days, we can plug in these values into the formula:

Present Value = 1321.17 / (1 + (0.0775 * 230))

Calculating the expression in the parentheses first:

Present Value = 1321.17 / (1 + 17.8075)

Simplifying further:

Present Value = 1321.17 / 18.8075

Evaluating the division:

Present Value ≈ $70.28

Therefore, the present value of the loan is approximately $70.28.

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