how much is 1 half dollar + 2 quarters + 4 dimes + 7 nickels + 9 pennies

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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The compound inequality 7x + 8 > 36 OR -5x - 1 ≥ -16 has the solution x > 4 OR x ≤ 3. In interval notation, this is represented as (4, +∞) ∪ (-∞, 3].

To solve the compound inequality 7x + 8 > 36 OR -5x - 1 ≥ -16, we will solve each inequality separately and then combine the solutions using the "OR" condition.

First, let's solve the inequality 7x + 8 > 36:

Subtracting 8 from both sides, we get:

7x > 28

Dividing both sides by 7, we have:

x > 4

Now, let's solve the second inequality -5x - 1 ≥ -16:

Adding 1 to both sides, we get:

-5x ≥ -15

Dividing both sides by -5 and reversing the inequality sign, we have:

x ≤ 3

Finally, we combine the solutions using the "OR" condition. The solutions to the compound inequality are x > 4 OR x ≤ 3.

In interval notation, this can be written as (4, +∞) ∪ (-∞, 3].

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Answer:

311.01 in^3

Step-by-step explanation:

Volume of cylinder = pi*r^2*h

Volume of cylinder = pi*9*11=311.01 in^3

Answer:

The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.

Therefore, option (B) is true.

Step-by-step explanation:

We know that when a number let say 'n' get multiplied by '1', it remains unchanged.

i.e.

The number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.

Given the number

-12/13

Multiply the number '-12/13' by '1'.

i.e.

-12/13 × 1 = -12/13

1 × -12/13 = -12/13

Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.

Therefore, option (B) is true.

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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Remember that when you multiply a number by 10, the decimal point is moved one place to the right. Then:

Therefore, the answer is 275.4

Distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to ( 40/3)π.

As given in the question,

Length of the minute hand of a clock 'r' is equal to 10 inches

Minute hand of a clock moves from 12 to 8 o'clock

Central angle made by minute hand of a clock from 12 to 8 o'clock

= (8 /12) × 360°

= 240°

Distance travelled by tip of the minute hand of a clock is same as the arc length of a clock

= (central angle / 360°) × circumference

= (240° /360°) × 2π (10)

= 40π/3 inches.

Therefore, distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to

(40/3)π.

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The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4)

A straight line is an infinitely wide one-dimensional figure. It is made up of an infinite number of points connected at both ends by another point. A straight line is devoid of all curves. It can be angled, vertical, or in any direction. A 180-degree angle will always result from drawing an angle between any two points on a straight line. we will learn how to read straight line equations in various formats and how to use them to answer questions about straight lines.

So that, The graph of the equation y = -4 is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,-4) as shown in attached diagram.

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Answer is 3h after simplification.

Function is a mathematical expression that represent the relationship between an independent variable and dependent variable. The set of values of independent variable is termed as input of function and the set of value of dependent variable is called output.

given, a function. f(x) = 3x -8

if we want to write x + h instead of x

then the function will be f(x + h) = 3(x + h) - 8

f (x + h) - f(x) = 3(x+ h) - 8- (3x -8)

f( x + h) - f(x) = 3(x +h) - 8 - 3x+ 8

f(x + h) - f(x) = 3(x + h) - 3x

f(x + h) - f(x) = 3x + 3h - 3x

f(x +h) - f(x) = 3h

hence, the above is the result.

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The dry cleaner worker must work at least 40 full hours to earn at least $800.

Let x represent the number of full hours you must work to earn at least $800.

Since you earn $20 per hour, the amount you earn for x hours of work is given by the expression 20x.

To find how many full hours you must work to earn at least $800, we can write the following inequality:

20x ≥ 800

This inequality states that the amount you earn (20x) must be greater than or equal to $800.

To solve for x, we divide both sides of the inequality by 20:

x ≥ 800 / 20

Simplifying the expression:

x ≥ 40

Therefore, the dry cleaner worker would work around 40 hours.  

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Answer:

3. x=16

4. x=51

Step-by-step explanation:

3. 3x-8=x+24

2x=32

x=16

4. 2/3(x+27)= 180-(3x-25)

2/3x+18=180-3x+25

11/3x=187

11x=561

x=51

Step-by-step explanation:

Excercise 3:

By Alternate Exterior angles,

(x + 24)° = (3x - 8)°.

=> 2x = 32, x = 16.

Excercise 4:

By C-angles,

2/3 * (x + 27)° + (3x - 25)° = 180°.

=> 2x/3 + 18 + 3x - 25 = 180

=> 11x/3 = 187

=> x = 187 * (3/11) = 51.

Answer:

a = 120

b = 120

y = 22

a and b and vertical angles

Step-by-step explanation:

angles A and B are vertical angles so they're equal.

you can find angle b because all the angles in a triangle add up to 180

19 + 41 + B = 180

b = 180 - 19 - 41

b = 120

and since theyre equal, that means

a = 120 as well.

since you know a = 120 you can find y.

120 + 38 + y = 180

y = 180 - 120 - 38

y = 22

Answer:

Below

Step-by-step explanation:

Take the first set of numbers     2 seconds   24.4 yds

      24.4 yds / 2 s = 12.2 yards per second

You can take any of the other sets and should get this same value

  73.2 yards in 6 seconds    73.2/6 =  12.2 yards per second ( as we found)

So for 8 seconds :     12.2 yds/s * 8s = 97.6 yds

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

given

Example: 50th box of cereal

All cereal boxes are lined up in the population

Example Parameter: The cereal box's average weight

Population metric: The cereal on the line's average weight

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

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The future value of the investment would be $366,984.

To calculate the future value (FV) of an investment using continuous compounding, you can use the formula:

FV = Po * \(e^{(k * t)}\)

Where:

Po is the principal amount invested

e is the mathematical constant approximately equal to 2.71828

k is the interest rate (in decimal form)

t is the time period in years

Let's calculate the future value using the given values:

Po = $300,000

t = 6 years

k = 3.6% = 0.036 (decimal form)

FV = 300,000 *\(e^{(0.036 * 6)}\)

Using a calculator or a programming language, we can compute the value of \(e^{(0.036 * 6)}\) as approximately 1.22328.

FV = 300,000 * 1.22328

FV ≈ $366,984

Therefore, the future value of the investment after 6 years, compounded continuously, would be approximately $366,984.

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30 mph would be a safe speed for you to drive.

Collisions are much more likely to occur when one driver travels greater speedy or more slowly than the alternative motors on the road. You have to input a throughway at or near the velocity of visitors except if the speed of site visitors exceeds the prison speed restrict.

A pedestrian has a 90 percent threat of survival if hit by a vehicle transferring at 30 km ph (18.64 mph). This decreases to 70 percent at 40 kmph (24. eighty five mph) and much less than 20 percent at 50kmph (31 mph). driving at decreased speeds also enables drivers to stop within a shorter distance.

Retaining high speeds on highways is straightforward, as roads are wider and traffic is usually mild. If there are signs that show a pace restriction of 80kph, use them as a guide and stick near them. it's also an excellent exercise to assess road situations and set your pace thus.

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Answer:

Nominal decisions can be broken into two distinct categories: dichotomous decisions and polychotomous decisions.

Yes, frequency distributions can be made for both categorical and quantitative data.

A frequency distribution is a table that shows how often each value occurs in a data set. It is a way of summarizing data and can be used for both categorical and quantitative data.

Categorical data is data that can be divided into categories, such as gender or eye color. A frequency distribution for categorical data would show how many times each category appears in the data set.

Quantitative data is numerical data, such as height or weight. A frequency distribution for quantitative data would show how many times each numerical value appears in the data set.

In both cases, the frequency distribution helps to summarize and visualize the data in a clear and concise way.

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Answer:

T≥35. 36 is a possible solution.

Step-by-step explanation:

Atleast means that the number indicated is included thus a greater than or equal to sign is used.

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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The value of x in the equation is x = -1 and x = -4.67

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

3x^2 + 13x + 4 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 3, b = 13, c = 4

So, we have

x = (-13 ± √(13² - 4 * 3 * 4)) / 2 * 3

x = (-17 ± √(169 +- 48)) /6

x = (-17 ± 11) /6

Expand

x = (-17 + 11)/6 and x = (-17 - 11)/6

Evaluate

x = -1 and x = -4.67

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Answer: 1.42 x 10^1

Step-by-step explanation:

Answer: 1.42x10

Step-by-step explanation:

Answer:

(C) 10200m

Step-by-step explanation:

Dizem-nos na pergunta que um homem de negócios tem um espaço retangular de 100 m por 750 m para correr.

O primeiro passo é calcular o perímetro do retângulo.

Perímetro de um rectângulo = 2 (Comprimento × Largura)

Da pergunta,

Comprimento = 100m

Largura = 750m

Perímetro do rectângulo = 2 ( 100 + 750)

= 2(850)

= 1700m

Perímetro do rectângulo = 1700m

Somos questionados na pergunta para determinar quantos metros (Distância) um atleta viajou que tem apenas 6 voltas ao redor das extremidades do espaço.

A distância total percorrida pelo atleta ao correr é calculada como:

6 × perímetro do rectângulo.

= 6 × 1700

= 10200m

Quantos metros percorreu um atleta que deu apenas 6 voltas pelas extremidades do espaço = 10200

The slope-intercept equation of the line passing through the point (6,-6) and parallel to the line x=-4 is y = -6. The slope-intercept equation of the line passing through the point (6,-6) and perpendicular to the line x=-4 is x = 6.



Parallel lines have the same slope, so we first need to find the slope of the line x = -4. Since it is a vertical line, its slope is undefined. So we can't directly apply slope-intercept equation y = mx + b. However, we can still determine the equation of the parallel line passing through (6,-6) since the y-coordinate of the given point is -6. Therefore, the equation of the parallel line is y = -6 (the y-intercept is -6).

Now, to find the equation of the perpendicular line passing through (6,-6), we first need to find the slope of the line x = -4. Since the slope is undefined, the slope of the perpendicular line will be zero. Thus, the equation of the perpendicular line passing through (6,-6) will be x = 6 (the x-intercept is 6).

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Answer:

>

Step-by-step explanation:

|-4| = 4

-|4| = -4 as the absolute value is applied first, then the number becomes negative because of the minus sine.

12 / (-6)(3) + (-2)

First divide 12 by -6

Answer:

divide 12 by -6

Step-by-step explanation:

exponents, parenthesis, divide, miltiplied

                                        subtract, add